Consider the following functions.
f(x) = 5/x+6, g(x) = x/x+6
Find (f+g)(x).
Find the domain of (f+g)(x). (Enter your answer using interval notation.)
Find (f−g)(x). Find the domain of (f−g)(x). (Enter your answer using interval notation.)
Find (fg)(x).
Find the domain of (fg)(x). (Enter your answer using interval notation.)
Find (f/g )(x).
Find the domain of (f/g)(x). (Enter your answer using interval notation.)
Answers
The domain of (f / g)(x) is all real numbers except x = 0. In interval notation, it can be written as (-∞, 0) ∪ (0, ∞).
To find (f + g)(x), we need to add the functions f(x) and g(x):
f(x) = 5/(x + 6)
g(x) = x/(x + 6)
(f + g)(x) = f(x) + g(x) = 5/(x + 6) + x/(x + 6)
To combine the fractions, we need a common denominator, which is (x + 6):
(f + g)(x) = (5 + x)/(x + 6)
Next, let's find the domain of (f + g)(x). The only restriction on the domain would be any value of x that makes the denominator (x + 6) equal to zero. However, there is no such value in this case.
So, the domain of (f + g)(x) is all real numbers, or (-∞, ∞) in interval notation.
To find (f - g)(x), we need to subtract the function g(x) from f(x):
(f - g)(x) = f(x) - g(x) = 5/(x + 6) - x/(x + 6)
Again, we need a common denominator, which is (x + 6):
(f - g)(x) = (5 - x)/(x + 6)
Now, let's find the domain of (f - g)(x). As before, there are no restrictions on the domain.
So, the domain of (f - g)(x) is all real numbers, or (-∞, ∞) in interval notation.
To find (f * g)(x), we need to multiply the functions f(x) and g(x):
(f * g)(x) = f(x) * g(x) = (5/(x + 6)) * (x/(x + 6))
(f * g)(x) = 5x/(x + 6)²
Next, let's find the domain of (f * g)(x). In this case, the only restriction is that the denominator (x + 6) should not equal zero.
So, the domain of (f * g)(x) is all real numbers except x = -6. In interval notation, it can be written as (-∞, -6) ∪ (-6, ∞).
To find (f / g)(x), we need to divide the function f(x) by g(x):
(f / g)(x) = f(x) / g(x) = (5/(x + 6)) / (x/(x + 6))
(f / g)(x) = 5/(x)
Now, let's find the domain of (f / g)(x). The only restriction is that the denominator x should not equal zero.
So, the domain of (f / g)(x) is all real numbers except x = 0. In interval notation, it can be written as (-∞, 0) ∪ (0, ∞).
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Related Questions
Graph the linear equation y=2/3x-5
Answers
Answer:
As the given equation is a linear equation, to graph it, we simply need to calculate two points on the line, plot these points, then draw a straight line through them.
Given equation:
\(y=\dfrac{2}{3}x-5\)
Calculating two points on the line:
\(\textsf{when }\: x=0 \implies \dfrac{2}{3}(0)-5=-5 \implies (0,-5)\)
\(\textsf{when }\: x=6 \implies \dfrac{2}{3}(6)-5=-1 \implies (6,-1)\)
Plot these points and draw a straight line through them (attached).
I need help with this please
Answers
The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = (5/2)^x - 5, we need to find the minimum and maximum values of y that can be obtained by plugging in all possible x values.
Since (5/2)^x is always greater than 0 for any x, the minimum value of f(x) is -5.To find the maximum value of f(x), we can take the limit as x approaches infinity:
lim (x → ∞) (5/2)^x - 5 = ∞ - 5 = ∞Therefore, the range of f(x) is (-5, ∞).The value of 0.001 + 1.01 + 0.11 is
Answers
Answer:
1.121
Step-by-step explanation:
We can align them:
0.001
1 .010
0.1 10
Then we can add each horizontal line.
We get, 1.121
The amount in marketing dollars (x) and their profits (y) were analyzed using regression analysis. The result is the equation that measures the relationship between the two variables: y=−0.05x +6500. Using Excel, find the profit (y) for the following values of x=10000,15000,20000,25000,30000.
Answers
The profits for the given values of x are:
x = 10000, y = 6000;
x = 15000, y = 5750;
x = 20000, y = 5500;
x = 25000, y = 5250;
x = 30000, y = 5000.
We are given the equation:
\(y = -0.05x + 6500\)
where y represents the profits and x represents the amount in marketing dollars.
We are required to find the profits for the given values of x which are 10000, 15000, 20000, 25000 and 30000.
Profit (y) for x = 10000:
Substituting x = 10000 into the equation, we get:
\(y = -0.05(10000) + 6500\\= -500 + 6500\\= 6000\)
Therefore, the profit for x = 10000 is 6000.
Profit (y) for x = 15000:
Substituting x = 15000 into the equation, we get:
\(y = -0.05(15000) + 6500\\= -750 + 6500\\= 5750\)
Therefore, the profit for x = 15000 is 5750.
Profit (y) for x = 20000:
Substituting x = 20000 into the equation,
we get:
\(y = -0.05(20000) + 6500\\= -1000 + 6500\\= 5500\)
Therefore, the profit for x = 20000 is 5500.
Profit (y) for x = 25000:
Substituting x = 25000 into the equation, we get:
\(y = -0.05(25000) + 6500\\= -1250 + 6500\\= 5250\)
Therefore, the profit for x = 25000 is 5250.
Profit (y) for x = 30000:
Substituting x = 30000 into the equation, we get:
\(y = -0.05(30000) + 6500\\= -1500 + 6500\\= 5000\)
Therefore, the profit for x = 30000 is 5000.
The profits for the given values of x are:
x = 10000, y = 6000;
x = 15000, y = 5750;
x = 20000, y = 5500;
x = 25000, y = 5250;
x = 30000, y = 5000.
Hence, we are done with the given problem.
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compare 5.7145 repeating and the square root of 29
Answers
Answer:0.3293
Step-by-step explanation:
Hilda filled her aquarium with
water. On Monday, she put 8 cups
into the aquarium. On Tuesday she
put 2 pints. On Wednesday, she put
quarts. How many cups of water dic
she put into her aquarium in all?
Answers
The domain and scope of the identity function are the same. Equation for the identity function is f(x) = x, or y = x.
What is function?An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable. A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.
identity function are the same.
Equation for the identity function is
f(x) = x, or y = x.
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1) Jo Anne needs to do a speech in her English class that can't be more than 4 minutes
long. She timed herself when she practiced last night and was within the time limit. In class,
her speech was 10 seconds less than the one that she did at home. What are the possible
times for her speech at school?
Answers
Answer:
( 0 < y < 23 / 6 ) mins
Step-by-step explanation:
Solution:-
We will define a variable ( x ) as the time it took for Jo Anne to give her speech at home.
The time taken to give her speech must always be less than 4 minutes. We can express this mathematically using an inequality as follows:
( 0 < x < 4 ) minutes
Jo Anne gave her speech which was 10 seconds less than the one she practised at home. We will convert the time in seconds to minutes as follows:
\(10 s * \frac{min}{60 s} = \frac{1}{6} min\)
The time taken by Jo Anne to complete her speech in English class can be represented as:
y = x - 1/6
Using the range of time that Jo Anne could take in delivering her speech in the class would be:
0 < x < 4
0 - 1/6 < y < 4 - 1/6
-1/6 < y < 23 / 6
Since time can not be less than zero. We correct the lower limit to " 0 " as follows:
( 0 < y < 23 / 6 ) mins
The possible times for her speech of her at school vary between 0 and 3:50 minutes.
Since Jo Anne needs to do a speech in her English class that can't be more than 4 minutes long, and she timed herself when she practiced last night and was within the time limit, and in class, her speech was 10 seconds less than the one that she did at home, to determine what are the possible times for her speech at school the following calculation must be performed:
If she in her house was within the time limit, at most her speech had a duration of 4 minutes, with which the maximum limit here is 3 minutes and 50 seconds.Therefore, the possible times for her speech of her at school vary between 0 and 3:50 minutes.Learn more in https://brainly.com/question/22690925
Find the measurements of angle WXZ, XZW, and XWZ
Answers
Answer:
WXZ = 123
XZW = 28.5
XWZ = 28.5
Step-by-step explanation:
The product of a number, x, and 3 is six more than the product of the number and 2.
Which equation represents the situation? (50 points)
3x=6(x+2)
3x=6+2x
x3=6+x2
3+x=6x+2
Answers
Answer:
3x = 6 + 2xStep-by-step explanation:
The word "product" defines multiplication between two numbers. Those numbers are x and 3. The word "is" defines the "equal sign". The word "more" defines addition. Now, using these definitions, let's create an equation.
=> (3 × x) = 6 + (2 × x)=> 3x = 6 + 2xHence, Option C is correct.
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
The average change in water volume is (answer here)iter(s) per day.
Answers
The average change in the volume of water per day is obtained as 0.625 litres.
What is the rate change of volume?The rate change of volume is the change of volume with respect to time.
For instantaneous change the derivative of the expression of volume can be taken.
The average change in the volume of water can be obtained as follows,
Average change = Volume of water ÷ Number of days
= 2.5 ÷ 4 = 0.625
Hence, the average change in water volume is given as 0.625 liters per day.
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3x + 2y = 3 / 2x + 3y = 2
Answers
Answer:
Step-The solution of the set of equations 3x-2y=3 and 2x+3y=2 has to be determined.
3x-2y=3 ...(1)
2x+3y=2 ...(2)
3*(1) - 2*(2)
=> 9x - 6y - 4x - 6y = 9 - 4
=> 5x = 5
=> x = 1
Substituting x = 1 in (1)
3 - 2y...
by-step explanation:
Answer:
x = 1 , y = 0
Step-by-step explanation:
3x + 2y = 3 ------> (1)
2x + 3y = 2 --------> (2)
(1) × 2
2 × ( 3x + 2y = 3 )
6x + 4y = 6 -------> (3)
(2) × 3
3 × ( 2x + 3y = 2 )
6x + 9y = 6 ------> (4)
(4) - (3)
6x + 9y - ( 6x + 4y ) = 6 - 6
6x + 9y - 6x - 4y = 0
5y = 0
y = 0
If y = 0,
2x + 3y = 2
2x + 3y = 2
2x + 3 × 0 = 2
2x + 0 = 2
2x = 2
x = 1
Hope this helps you :-)
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which statement is true? a.) there are a total of 25 elements shown in the venn diagram. b.) set p has 17 elements. c.) set q has 38 elements. d.) sets p and q have 30 common elements. submit my answer
Answers
Answer:
b gang
Step-by-step explanation:
The Wagner Corporation has a $22 million bond obligation outstanding, which it is considering refunding. Though the bonds were initially issued at 12 percent, the interest rates on similar issues have declined to 10 percent. The bonds were originally issued for 20 years and have 16 years remaining. The new issue would be for 16 years. There is a 7 percent call premium on the old issue. The underwriting cost on the new $22 million issue is $680,000, and the underwriting cost on the old issue was $530,000. The company is in a 40 percent tax bracket, and it will allow an overlap period of one month ( 1/12 of the year). Treasury bills currently yield 5 percent. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answers to nearest whole dollar.) a. Calculate the present value of total outflows. Total outflows b. Calculate the present value of total inflows. Total inflows $ c. Calculate the net present value. Net present value $ d. Should the old issue be refunded with new debt? Yes No
Answers
The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes
To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.
Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.
Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax. Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.
Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows. If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.
Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,
CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080. NPV ≈ $824,179. Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.
Therefore, the answers are:
a. Total outflows: $2,007,901
b. Total inflows: $827,080
c. Net present value: $824,179
d. Should the old issue be refunded with new debt? Yes
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How do you calculate this expression (3d) (-5d^2) (6d)^4
Answers
The simplified form of the expression (3d) (-5d²) (6d)⁴ is -19440d⁷.
What is the simplified form of the expression?Given the expression in the question:
(3d) (-5d²) (6d)⁴
To simplify the expression (3d)(-5d²)(6d)⁴, we need to expand the brackets and perform the multiplication of the terms.
(6d)⁴ = ( 6⁴ d⁴) = 1296d⁴
Hence, we have:
(3d)(-5d²)(1296d⁴)
Next , we can multiply the coefficients 3, -5, and 1296, to get -90:
-19440
Next, we can multiply the variables d, d², and d⁴, to get:
d⁷
So putting it all together, we get:
-19440d⁷
Therefore, the simplified form is -19440d⁷.
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Please please help I will give brainiest is I get 100% on this question. (actauly give me answers)
Provide a proof for the following.
Provide a proof using any method (two-column, flow-chart, or paragraph). For whichever method you choose, include the statements that lead you to the necessary conclusion, as well as corresponding reasons for each statement.
Hint: You may use the template provided below, and simply fill in the missing reasons for the proof.
Answers
The proof for the given statements is as follows:
Statements:
1. overline AB || overline PQ
2. overline AP || overline BQ
3. overline BP || overline CQ
Reasons:
1. Since AB || PO, then AB || PQ
2. Since AP || BQ and AB || PQ, then AP || BQ
3. Since BP || CQ and AB || PQ, then BP || CQ
Therefore, by the properties of parallel lines, we can conclude that angle ABP congruent to angle BCQ and angle BAP congruent to angle CBO. Since angles ABP and BCQ are congruent, and angles BAP and CBO are congruent, this implies that angle ABP is congruent to angle QPB, and angle CBQ is congruent to angle PQB.
By the definition of similar triangles, two triangles are said to be similar if their corresponding angles are congruent. Therefore, triangle ABP is similar to triangle QPB, which is similar to triangle BCQ, proving the statement.
slope:1/6 point: (24 ,4)
Answers
Answer:
y -4 = 1/6(x-24)
y = 1/6x -2
Step-by-step explanation:
We can point slope form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -4 = 1/6(x-24)
Or we can write slope intercept form
y = mx+b where m is the slope and b is the y intercept
Substituting the points
4 = 1/6(24)+b
4 = 6+b
4-6 = b
-2 =b
y = 1/6x -2
Answer:
\(y = mx + c \\ 4 = (\frac{1}{6} \times 24) + c \\ 4 = 4 + c \\ c = 0 \\ y = \frac{1}{6} x\)
What is the result of the expression =50+20/10*5?* 45 0 1 O 25 O 50 O 60
Answers
The result of the expression is 60.
The given expression can be solved by applying the principle of BODMAS.
BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction. The BODMAS is used to explain the order of operation of a mathematical expression.
This indicates that numerous operator expressions must only be spelled out in this order, from left to right. We begin by resolving the brackets, then move on to powers or roots, division or multiplication (depending on which comes first from the left side of the expression), and lastly subtraction or addition (depending on which comes on the left side).
Given, 50+20/10*5 = 50+2*5=50+10=60
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Data analysis and probability unit test
Answers
Students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific Experiment.
The probability is a measure of the possibility of an event happening. It is expressed as a fraction or decimal between 0 and 1, or as a percentage between 0% and 100%. Probability can be used to determine the likelihood of an event happening or not happening.
Data analysis is the process of analyzing data to extract valuable insights from it. It involves examining data sets to uncover trends, patterns, and relationships that can be used to make informed decisions. Data analysis is an important tool in many fields, including business, finance, and science.
The data analysis and probability unit test assesses students' understanding of these concepts and their ability to apply them in real-world situations.
The test typically includes questions that require students to use probability to determine the likelihood of an event happening or not happening, as well as questions that ask students to analyze data sets to extract valuable insights.In order to prepare for the data analysis and probability unit test, students should review the key concepts and formulas related to probability, such as the addition rule, the multiplication rule, and the complementary rule.
They should also practice analyzing data sets using tools like histograms, scatter plots, and box plots, and should be familiar with key concepts like mean, median, and mode.
Finally, students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific experiment.
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what is the 6th term of an arithmetic sequence with a9 = 120 and a14 = 195?
Answers
Step-by-step explanation:
a9 = 120 ----> a + 8d = 120
a14 = 195 ---> a + 13d = 195
subtract them
5d = 75
d = 15
then a+8(15) = 120
a = 0
Please help me and answer
Answers
4 > |x+1| + 2
======================================================
Explanation:
Choice A can be ruled out because the result of any absolute value is never negative.
This means |x+1| cannot be smaller than -3.
In other words: -3 > |x+1| has no solutions
Similarly, choice B also leads to "no solutions" because we subtract 2 from both sides to get -1 > |x+2|. Therefore, we rule out choice B as well.
------------------
Choice C can be solved through these steps
2 < |x+3| - 2
2+2 < |x+3|
4 < |x+3|
|x+3| > 4
x+3 > 4 or x+3 < -4
x > 4-3 or x < -4-3
x > 1 or x < -7
x < -1 or x > 1
The graph of this will have open holes at -7 and 1. Then you shade to the left of -7 and to the right of 1. This does not match the graph given to us.
We'll rule out choice C.
-------------------
Choice D can be solved through these steps
4 > |x+1| + 2
4-2 > |x+1|
2 > |x+1|
|x+1| < 2
-2 < x+1 < 2
-2-1 < x < 2-1
-3 < x < 1
The graph will have open holes at -3 and 1, with shading in between. This matches perfectly with the given graph.
This is why choice D is the answer.
Find the smallest number by which 350
must be multiplied to give a perfect square.
Answers
Answer:
the smallest number by which 350 by answer is 15
help me to do 10(b) answer
Answers
Answer:
Step-by-step explanation:
Big circle:
R = radius = diameter ÷2 = 42 ÷ 2 = 21 cm
Area of big circle= πR²
\(=\dfrac{22}{7}*21*21=22*3*21\\\\\\= 1386 \ cm^{2}\)
Small circle:
Diameter of small circle = radius of big circle = 21 cm
r = 21/2 = 10.5 cm
Area of small circle = πr²
\(=\dfrac{22}{7}*10.5*10.5 = 22 * 1.5*10.5\\\\\\= 346 .5 \ cm^{2}\)
Area of shaded region = area of big circle - area of small circle
= 1386 - 346.5
= 1039.5 cm²
What is the probability that either event will occur? A is 29 and B is 14 and there is an extra 17
Answers
The probability that either event will occur is approximately 0.4028.
To find the probability that either event will occur, we need to add the probabilities of A and B and subtract the probability of their intersection (i.e., the probability that both A and B occur).
Let P(A) be the probability of event A occurring, P(B) be the probability of event B occurring, and P(A ∩ B) be the probability of their intersection (i.e., the probability that both A and B occur).
Then the probability that either event will occur is given by:P(A ∪ B) = P(A) + P(B) - P(A ∩ B)Let n(S) be the number of ways the experiment can be conducted. Then:1. P(A) = 29/180,
since there are 29 words containing A and there are a total of 180 words.2. P(B) = 14/180,
since there are 14 words containing B and there are a total of 180 words.3. P(A ∩ B) = P(A) × P(B) = (29/180) × (14/180) = 203/32400.4. P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 29/180 + 14/180 - 203/32400 = 217/540 ≈ 0.4028.
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simplify the following expression as a monomial -65a3/5a
Answers
\(\large\huge\green{\sf{Answer:-}}\)
\( \frac{65 {a}^{3} }{5a} = \frac{65 {a}^{2} }{5} = 13a {}^{2} \)
Express 48 as sum of two odd prime
Answers
Answer:
19 , 29
Step-by-step explanation:
19 + 29 = 48
mark brainiest pls
What is the missing step in this proof?
A.
∠CAB ≅ ∠ACB, ∠EDB ≅ ∠DEB
B.
∠ADE ≅ ∠DBE, ∠CED ≅ ∠EBD
C.
∠CAD ≅ ∠ACE, ∠ADE ≅ ∠CED
D.
∠CAB ≅ ∠EDB, ∠ACB ≅ ∠DEB
Answers
D. ∠CAB ≅ ∠EDB, ∠ACB ≅ ∠DEB (corresponding angles formed by transversals AC and DE with lines AB and EB, and transversals AC and DE with lines CB and DB, respectively).
In order to determine the missing step in the proof, we need to analyze the given information and identify the corresponding congruent angles. Let's evaluate the options provided:
A. ∠CAB ≅ ∠ACB, ∠EDB ≅ ∠DEB
B. ∠ADE ≅ ∠DBE, ∠CED ≅ ∠EBD
C. ∠CAD ≅ ∠ACE, ∠ADE ≅ ∠CED
D. ∠CAB ≅ ∠EDB, ∠ACB ≅ ∠DEB
Looking at the given information, we observe that the congruent angles are:
∠CAB ≅ ∠ACB (corresponding angles formed by transversal AC and lines AB and CB)
∠EDB ≅ ∠DEB (corresponding angles formed by transversal DE and lines EB and DB)
Comparing these angles to the options, we find that option D, ∠CAB ≅ ∠EDB, ∠ACB ≅ ∠DEB, is the missing step in the proof.
Therefore, the missing step in the proof is:
D. ∠CAB ≅ ∠EDB, ∠ACB ≅ ∠DEB
This missing step indicates the congruence between the angles formed by transversals AC and DE with lines AB and EB, as well as the angles formed by transversals AC and DE with lines CB and DB, respectively.
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i need help
schoology
Answers
Answer: 37 degrees
Hope this helps :)
Step-by-step explanation:
(The box in the corner tells you this is a right angle)
A right angle is 90 degrees
90 - 53 = 37
Answer:
37 degrees
Step-by-step explanation:
Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37
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A botanist measured the height of 15 plants grown in direct sunlight and found a mean height of 12.5 in and a standard deviation of 1.6 in. a. Construct a 95% confidence interval for her sample mean and interpret your interval in words. b. Assume she repeated her experiment, this time measuring the height of 200 plants. Construct a 95% CI for this new experiment. Interpret your interval in words. c. Was the width of the 95% CI she created with 200 plants larger, smaller or the same as the 1% one she constructed? Explain your answer. d. If she wished to construct a 90% CI for this data would this interval be larger, smaller or the same as the 95% CI? Explain your answer. (Do NOT construct this interval)
Answers
a. Height of the plants grown in direct sunlight is (11.977, 13.023) inches. b. the 95% confidence interval for the sample mean height would have a similar interpretation but with a smaller margin of error. c. The width would likely be smaller than the one she constructed with 15 plants d 90% confidence interval would be narrower than a 95% confidence interval for the same data.
a. The 95% confidence interval for the sample mean height of the plants grown in direct sunlight is (11.977, 13.023) inches. This means that we are 95% confident that the true population mean height falls within this interval.
b. For the new experiment with 200 plants, the 95% confidence interval for the sample mean height would have a similar interpretation but with a smaller margin of error. The interval would provide an estimate of the true population mean height with 95% confidence.
c. The width of the 95% confidence interval she created with 200 plants would likely be smaller than the one she constructed with 15 plants. As the sample size increases, the standard error decreases, resulting in a narrower interval.
d. If she wished to construct a 90% confidence interval for this data, the interval would be smaller than the 95% confidence interval. A higher confidence level requires a wider interval to capture a greater range of possible values for the population mean. Therefore, a 90% confidence interval would be narrower than a 95% confidence interval for the same data.
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Write three other polar coordinates with the same Cartesian coordinates as the polar point ( 7 , 5 π/ 6 ) Give your answers in terms of π . Your third angle must have a negative value for either r or θ .
Answers
So, three other polar coordinates with the same Cartesian coordinates as (7, 5π/6) are (7, 17π/6), (7, -7π/6), and (7, 29π/6).
To find three other polar coordinates with the same Cartesian coordinates as (7, 5π/6), we can use the fact that polar coordinates have periodicity. Adding or subtracting multiples of 2π to the angle will give us equivalent points.
(7, 5π/6) - Given point.
(7, 5π/6 + 2π) - Adding 2π to the angle gives us an equivalent point.
=> (7, 17π/6)
(7, 5π/6 - 2π) - Subtracting 2π from the angle gives us another equivalent point.
=> (7, -7π/6)
(7, 5π/6 + 4π) - Adding 4π to the angle gives us another equivalent point.
=> (7, 29π/6)
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what is10 + 9
i really dont know
can someone help me
Answers
\( \huge \green{ \boxed{ANSWER}}\)
\(10 \: + \: 9 \: = {\boxed{19}}\)
USE CALCULATOR -_-
\( \mathfrak{JazmineChoi}\)
STAN TREASURE
Answer:
19
Step-by-step explanation: 10 +9 = 19