The given point with Cartesian coordinates (2', 0) cannot be directly converted into polar coordinates because the value of r is not provided.
To convert a point from Cartesian coordinates to polar coordinates, we need both the radial distance (r) and the angle (θ). In this case, the point is given as (2', 0), where ' represents an unknown value for r. Without knowing the specific value of r, we cannot determine the polar coordinates.
In the Cartesian coordinate system, the x-axis represents the horizontal axis, and the y-axis represents the vertical axis. The point (2', 0) lies on the x-axis at a distance of 2 units from the origin.
However, to express this point in polar coordinates, we need to know the radial distance from the origin, which is represented by r. Without the value of r, we cannot determine the position of the point in the polar coordinate system.
In summary, without the value of r, it is not possible to convert the point (2', 0) into polar coordinates. The conversion requires both the radial distance (r) and the angle (θ) to locate the point accurately in the polar coordinate system.
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!!!!HELLPPPP ASAP Jack, kirk, and joe each have a pet. One has a bird, one has a cat, and one has a dog the pets names are happy, goofy, and sleepy. Find out the name of each pet and who it belongs to.
The boy who has the bird did not call it sleepy
Even though kirk named his pet happy, he did not want a pet that barks
goofy who is not a bird loves his owner whose name does NOT have 4 letters in it
jack does not have a dog
(1) whats the dogs name?
(2) what boy has the bird?
(3)What animal is sleepy
(4)What's the name of leos pet?
(5)Whats the dogs name
1.The dog's name is happy
2. The name of the owner of the bird is Jack
3. The animal named sleepy is the bird
4. the name of Leo's pet is goofy
5.The name of the dog is happy
Explanations on how to find the answers is given below(1) what's the dogs name?
Even though kirk named his pet happy, he did not want a pet that barks.
The pet that barks is dog
(2) what boy has the bird?
The first answer eliminates Kirk. Answer to question 4 eliminates Leo. The last option remains the correct choice which is Jack
(3)What animal is sleepy
The boy who has the bird did not call it sleepy - gives the clue that the name of the bird is sleepy however the owner so not call it sleepy
(4)What's the name of Leo's pet?
goofy who is not a bird loves his owner whose name does NOT have 4 letters in it. - other names are 4 lettered except Leo and this is the clue to conclude
(5) What's the dogs name?
The first explanation serves for this
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PLEASEHELP 50 POINTS ALGEBRA 2
Write the equation of the line shown in the table below in slope intercept form.
I"VE BEEN STUCK ON THIS ASSIGNMENT ALL DAY
Answer:
i think it might be y=0.6x - 2
y=3/5x-2 is the equation of the line shown in the table in slope intercept form
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us consider any two values
(5,1) and (10, 4)
m=4-1/10-5
=3/5
Now let us find the y intercept
1=3/5(5)+b
1=3+b
b=-2
So the slope intercept form is y=3/5x-2
Hence, y=3/5x-2 is the equation of the line shown in the table in slope intercept form
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The critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is:_____.
The critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96
For given question,
We need to find the critical values for a 2-tailed sign test for 13-coin flips.
We have been given an alpha level of 0.05 that is 5%
⇒ α = 0.05
We know that in hypothesis testing, a critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.
These are the points on the distribution which have the same probability as your test statistic, equal to the significance level α.
The critical values are assumed to be at least as extreme at those critical values.
Now we find 1 - α
⇒ 1 - α = 1 - 0.05
⇒ 1 - α = 0.95
Because it is a two-tailed test, we are going to divide 0.95 by 2.
⇒ 0.95/2 = 0.475
Now we look in the z-table to find out cutoff points.
For the area of 0.475, the critical values is ± 1.96 .
Therefore, the critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96
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find a value of c so that p(z ≤ c) = 0.52.
The value of c 0.097 can satisfy the probability condition p(z ≤ c) = 0.52.
We need to find a value of c such that the probability of a standard normal random variable, Z, being less than or equal to c is 0.52, i.e., P(Z ≤ c) = 0.52.
We can use a standard normal table or a calculator to find the value of c that corresponds to a probability of 0.52. For example, using a calculator or a table, we can find that the 0.52 percentile of the standard normal distribution is approximately 0.097.
Therefore, we have:
P(Z ≤ c) = 0.52
c = 0.097 (from the standard normal table or calculator)
So, the value of c that satisfies the given probability condition is approximately 0.097.
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What are the 4 major rules when dealing with Big O?
Answer:
Big O notation is used to describe the performance or complexity of an algorithm. Here are four rules to keep in mind when working with Big O notation:
Coefficients do not matter: When analyzing the performance of an algorithm, the coefficients of the terms in the Big O expression are not important. For example, O(2n) and O(n) are equivalent.
Ignore lower order terms: When analyzing the performance of an algorithm, only the highest order term is important. For example, O(n^2 + n) is equivalent to O(n^2).
Different inputs, different variables: When analyzing the performance of an algorithm with multiple inputs, use different variables to represent the size of each input. For example, if an algorithm takes two arrays as input, use n to represent the size of the first array and m to represent the size of the second array.
Worst case analysis: When analyzing the performance of an algorithm, consider the worst case scenario. For example, if an algorithm takes longer to run when the input is sorted in reverse order, use that scenario when calculating its Big O notation.
Step-by-step explanation:
Xavier needs to print some color copies for a presentation, and he has a coupon. His cost y in dollars to print x copies is y = 0.08x – 2.50.
2.50 is the coupon amount and 0.08 is the cost for one copy from the equation y = 0.08x - 2.50.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 8 is an equation.
We have,
y = 0.08x - 2.50
Where x is the number of copies and y is the cost of printing x copies.
Now,
From the equation,
y = 0.08x - 2.50
2.50 is the coupon amount.
0.08 is the cost for one copy.
Thus,
2.50 is the coupon amount.
0.08 is the cost for one copy.
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Write an equation in which the distributive property, commutative property, associative property, addition or subtraction property, and multiplication property can be used to find the solution. Then solve the equation. Justify each step.
Answer:
There are many times in algebra when you need to simplify an expression. The properties of real numbers provide tools to help you take a complicated expression and simplify it.
The associative, commutative, and distributive properties of algebra are the properties most often used to simplify algebraic expressions. You will want to have a good understanding of these properties to make the problems in algebra easier to work.
Step-by-step explanation:
Commutative Property of Multiplication
For any real numbers a and b, a · b = b · aOrder does not matter as long as the two quantities are being multiplied together. This property works for real numbers and for variables that represent real numbers.
just as subtraction is not commutative, neither is division commutative. 4 ÷ 2 does not have the same quotient as 2 ÷ 4.Associative Property of Addition
For any real numbers a, b, and c, (a + b) + c = a + (b + c).
Associative Property of Multiplication
For any real numbers a, b, and c, (a • b) • c = a • (b • c).Multiplication has an associative property that works exactly the same as the one for addition. The associative property of multiplication states that numbers in a multiplication expression can be regrouped using parentheses. For example, the expression below can be rewritten in two different ways using the associative property.
The parentheses do not affect the product, the product is the same regardless of where the parentheses are.
The distributive property of multiplication is a very useful property that lets you rewrite expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as 6(5 – 2), is equal to the sum or difference of products, in this case, 6(5) – 6(2).
6(5 – 2) = 6(3) = 18
65) – 6(2) = 30 – 12 = 18
The distributive property of multiplication can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2.3(10 + 2) = ?
According to this property, you can add the numbers 10 and 2 first and then multiply by 3, as shown here: 3(10 + 2) = 3(12) = 36. Alternatively, you can first multiply each addend by the 3 (this is called distributing the 3), and then you can add the products. This process is shown here.
3 (10 + 2) = 3(12) = 36
3(10) + 3(2) = 30 + 6 = 36
The products are the same.
since multiplication is commutative, you can use the distributive property regardless of the order of the factors.
A company needs to determine the optimum power and time settings for their new licorice-flavored microwaveable popcorn. They want to find a combination of power and time that delivers high-quality popcorn with less than 11% of the kernels left unpopped, on average-a value that their market research says is demanded by their customers. Their research department experiments with several settings and determines that power 9 at 4 minutes is optimum. Their tests confirm that this setting meets the less than 11% requirement. They change the instructions on the box and promote a new money back guarantee of less than 11% unpopped kernels. Complete parts a) and b) below.
a) If, in fact, the setting results in more than 11% kernels unpopped, what kind of error have they made? What will the consequence be for the company? What are the null and alternative hypotheses in this case?
A. H_o: μ< 11 vs. H_A: μ = 11
B. H_o: μ= 11 vs. H_A: μ> 11
C. H_o: μ= 11 vs. H_A: μ< 11
D. H_o: μ> 11 vs. H_A: μ = 11
b) To be sure that the method was successful, the research department popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels being 6.7,12.9, 10.6, 7, 7.1, 3.1, 2.0, and 4.8. Does this provide evidence that they met their goal of an average of fewer than 11% unpopped kernels? Assume α=0.05.
c) Find T
d) Find P
A The null and alternative hypotheses in this case are:
Null hypothesis: H_o: μ ≥ 11
Alternative hypothesis: H_A: μ < 11
B We have statistically significant evidence to conclude that the setting results in less than 11% kernels unpopped.
C The t-statistic is -2.94.
d) The p-value is 0.004.
How to explain the informationa) In this case, the company has made a Type I error. This is when the null hypothesis is rejected, even though it is true. In this case, the company would be rejecting the hypothesis that the setting results in less than 11% kernels unpopped, even though it is actually true. The consequence of this would be that the company would be losing money on refunds for popcorn that is not actually defective.
b) In order to answer this question, we need to calculate the t-statistic and the p-value.
The t-statistic is calculated as follows:
t = (x - μ) / (s / √n)
Substituting these values into the formula for the t-statistic, we get:
t = (6.7 - 11) / (3.5 / √8)
= -2.94
The p-value is the probability of obtaining a t-statistic that is at least as extreme as the one we observed, assuming that the null hypothesis is true. In this case, the p-value is 0.004.
c) The t-statistic is -2.94.
d) The p-value is the probability of obtaining a t-statistic that is at least as extreme as the one we observed, assuming that the null hypothesis is true. In this case, the p-value is 0.004.The p-value is 0.004.
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Rebecca and Stephanie are earning money by walking their neighbor's dogs. They get a flat rate of $25 plus $5 for every dog they walk. If they earned $75, how many dogs did they walk? (show the equation) (how you solved it) (and what the answer is)
Rebecca and Stephanie are earning money by walking their neighbor's dogs. They get a flat rate of $25 plus $5 for every dog they walk. If they earned $75, then Rebecca and Stephanie walked 10 dogs in total.
The subject of the question is related to earnings and arithmetic calculations. Let's denote the number of dogs walked by "x". According to the given information, Rebecca and Stephanie earn $5 for every dog they walk, in addition to a flat rate of $25. Therefore, the equation representing their earnings can be written as:
Total earnings = Flat rate + (Earnings per dog * Number of dogs)
$75 = $25 + ($5 * x)
To solve the equation, we isolate the variable "x" by subtracting $25 from both sides:
$75 - $25 = $5x
$50 = $5x
Next, we divide both sides of the equation by $5 to solve for "x":
$50/$5 = x
10 = x
Therefore, Rebecca and Stephanie walked 10 dogs in total.
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police departments continue to control the sole statistical data available to measure homicide rates in the united states. true or false?
The given statement , police departments continue to control the sole statistical data available to measure homicide rates in the united states is false.
Domestic disagreements, interpersonal violence, violent fights over land resources, intergang violence over turf or control, and predatory violence and murders by armed organizations are all examples of intentional homicides.
Intentional homicide does not cover all intentional killing; the distinction is usually in the manner in which the killing is carried out.
Homicide is typically committed by individuals or small groups, but killing in armed conflict is typically performed by highly cohesive organisations of up to several hundred members and is thus typically omitted.
The 2020 murder/homicide rate in the United States was 6.52,
a 28.64% rise over 2019.
The murder/homicide rate in the United States in 2019 was 5.07,
up 1.19% from 2018.
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Find Mack's debt-to-income ratio if his monthly expenses are $2850 and his monthly salary is $4000
PLS SHOW WORKKKK!!!
Will give brainillest to person that shows work :)
Answer:
debt-to-income ratio= 0.7125
Step-by-step explanation:
Giving the following information:
Monthly expenses= $2,850
Monthly income= $4,000
To calculate the debt-to-income ratio, we need to use the following formula:
debt-to-income ratio= monthly debt payment / gross monthly income
debt-to-income ratio= 2,850/4,000
debt-to-income ratio= 0.7125
As a percentage:
debt-to-income= 0.7125*100
debt-to-income= 71.25%
The debt-to-income ratio is the percentage of your income dedicated to paying your debts.
If Oliver actually worked a total of fourteen hours doing his 14 shifts at Slow Food to Go, how many hours was he scheduled to work each shift
Answer:
His shifts were 1 hour each
Step-by-step explanation:
If Oliver worked a total of 14 hours in a span of 14 shifts, that would mean he worked 1 hour per shift because 1(14) = 14.
14/14 = 1 hour
Help with this problem please
Answer:
2/3
Step-by-step explanation:
Have a good day :)
Is the fraction 6 1/4 a natural number, whole number, integer, rational number, or a irrational number?
*FYI, I think it is a rational number. Lmk if I am wrong :)*
Answer:
your right it is a rational number
5,2,-1,-4,-7 arithmetic
PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY*
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer. (First Picture)
2. Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer. (Second Picture)
1:
cos (37)= 11/x
x(cos(37))= 11
x= 11/cos(37)
x= 14.4
2:
tan (0)= 4/13
0= tan^-1/ 4/13
0= 0.3
x= 0.3
have a nice day :)Step-by-step explanation:
solution:
A.
relation between hypotenuse and base is given by cos angle
so
\( \cos(ø) \)=base/hypotenuse=11/x
cos37°=11/x
x=11/(cos37°)=13.77units
side indicated =x=13.77units
solution:
B.
relation between perpendicular and base is given by tan angle
so
\( \tan(ø) \)=perpendicular/base=4/13
ø=tan-¹ (4/13)=17.10°
angle indicated =ø=17.10°
pls help!
graph the function f(x) = x^2+7x+10 on the coordinate plane.
Think of two numbers that
Multiply to 10Add to 7Trial and error will get us to the values 2 and 5
2*5 = 102+5 = 7This would mean x^2+7x+10 = (x+2)(x+5)
Set each factor equal to zero and solve for x.
x+2 = 0 solves to x = -2x+5 = 0 solves to x = -5The roots or x intercepts are -2 and -5, which is where the parabola crosses the x axis. This represents the locations (-2,0) and (-5,0) respectively.
Side note: The quadratic formula can be used to solve x^2+7x+10 = 0 as an alternative route.
-------------
The roots found were -2 and -5.
The x coordinate of the vertex is found at the midpoint of these roots.
Add them up and divide in half
(-2 + -5)/2 = -7/2 = -3.5
Plug this value into the function to find the y coordinate of the vertex.
f(x) = x^2+7x+10
f(-3.5) = (-3.5)^2+7(-3.5)+10
f(-3.5) = -2.25
The vertex is located at (-3.5, -2.25)
------------
In conclusion we have these three points on the parabola
(-2,0) = x intercept(-5,0) = x intercept(-3.5, -2.25) = vertexCheck out the graph below. I used GeoGebra to make the graph, but Desmos is another good option.
How many terms are in the binomial expansion of (2x 3)5? 4 5 6 7
In the binomial expansion (2x + 3)^5 , there are 6 terms.
According to the question, given that
Binomial expansion (2x + 3)^5
Number of terms in a binomial expansion of (x + y)^n is
N = n + 1 words in total
In the binomial expansion (2x + 3)^5
n = 5
N = 5 + 1 = 6
Therefore, In Binomial expansion (2x + 3)^5 there are 6 terms.
The algebraic expression (x + y)n can be expanded according to the binomial theorem, which represents it as a sum of terms using separate exponents of the variables x and y. Each word in a binomial expansion has a coefficient, which is a numerical value.
The formula for expanding the exponential power of a binomial expression is provided by the binomial theorem, sometimes referred to as the binomial expansion. The following is the binomial expansion of (x + y)n using the binomial theorem:
\((x+y)^n = n_C_{0} * n_y_{0} + n_C_{1} * n-1_y_{1} + n_C_{2} * n-2_ y_{2} + ... + n_C_{n-1} * 1_y_{n-1} + n_C_{n} * 0_y_{n}\)
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hi im back pls help me :) i'll give brainliest
Answer:
b
Step-by-step explanation:
What are the solutions to the equation below:
4x^x+1 = 5^-x
Answer:
I think it's E?
Step-by-step explanation:
hope this is right, if so then...
Pls, choose me as brainliest!
Help!!! Help!!! Help!!!
Answer:
B
Step-by-step explanation:
sin(theta) = sqrt(1-cos^2(theta)
sin(theta)=sqrt(1-1/2)=sqrt(1/2)=sqrt(2)/2 but as theta is in IV quadrant, sin(theta) will be negative
You have a deck of 52 cards. What is the probability of getting a 4 or a 7?
Answer:
Step-by-step explanation:
There are four 4s and four 7s in a deck of 52 cards, so the probability of drawing a 4 or a 7 is:
P(4 or 7) = P(4) + P(7) = 4/52 + 4/52 = 8/52
Simplifying this fraction, we get:
P(4 or 7) = 2/13
Therefore, the probability of getting a 4 or a 7 from a deck of 52 cards is 2/13, or approximately 0.1538 or 15.38%.
The probability of getting a 4 or a 7 is 2/13.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
You have a deck of 52 cards.
Number of cards which are 4 = 4
Number of cards which are 7 = 4
Number of cards which are either 4 or 7 = 4 + 4 = 8
Total number of cards = 52
Probability = 8/52 = 2/13
Hence the probability is 2/13.
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prove that any nonzero rational number may be written as the product of two irrational numbers.
If r is a nonzero rational number, then r is a product of two irrational numbers.
If q≠0 is rational and y is irrational, then qy is irrational.
: You know that if G
is a group and H≠G
is one of its subgroups then h∈H
and y∈G∖H
implies that hy∈G∖H
Proof: suppose hy∈H
You know that h−1∈H, and therefore y=h−1(hy)∈H
Contradiction
In our case, we have the group (R∗,⋅) and its proper subgroup (Q∗,⋅). By the arguments above q∈Q∗ and y∈R∖Q implies qy∈R∖Q
.
Simply multiply it by the square root of two to obtain an irrational number. A product of two irrational numbers, your original number is obtained by multiplying this irrational number by the square root of two, which is itself irrational.
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Priya wants to transform the graph of f by stretching it horizontally by a factor of 5 . She says that an equation for her new function p in terms of f is p(x)=f(5x) which means p(x)=(5x)2+3 . Is Priya's equation correct?
Priya's equation for p(x) is not correct. The correct equation for horizontally stretching f(x) by a factor of 5 is\($$p(x) = f\left(\frac{x}{5}\right) = \left(\frac{x}{5}\right)^2 + 3 = \frac{x^2}{25} + 3$$\)
How transform the graph of f by stretching it horizontally by a factor made?We are given the original function $f(x)$ and the proposed new function p(x), which is obtained by horizontally stretching $f(x)$ by a factor of 5. The proposed equation for p(x) is:
p(x) = f(5x)
And we are also given a specific expression for $f(x)$:
\($$f(x) = x^2 + 3$$\)
To check whether Priya's equation for p(x) is correct, we need to substitute f(5x) with its expression in terms of $x$ and simplify:
\($$p(x) = f(5x) = (5x)^2 + 3 = 25x^2 + 3$$\)
So Priya's equation for p(x) is not correct. The correct equation for horizontally stretching f(x) by a factor of 5 is:
\($$p(x) = f\left(\frac{x}{5}\right) = \left(\frac{x}{5}\right)^2 + 3 = \frac{x^2}{25} + 3$$\)
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The price of a notebook was 3.70 yesterday. Today, the price fell to 3.20. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
The price was dropped around 15%
Step-by-step explanation:
You will pay $3.15 for a item with original price of $3.70 when discounted 15%. In this example, if you buy an item at $3.70 with 15% discount, you will pay 3.70 - 0.555 = 3.15 dollars.
Use the fact that for points (a1, b1) and (a2, b2) in the coordinate plane, we can calculate the slope of the line through these points using the following formula. Slope = Δy Δx = b2 − b1 a2 − a1 Find the point where the line through (5, 2) with slope 4 crosses the vertical axis. (x, y) =
The values: y - 2 = 4 * (x - 5) Now, set x = 0 and solve for y: y - 2 = 4 * (0 - 5) y - 2 = -20 y = -18 So, the point where the line crosses the vertical axis is (0, -18).
To find the point where the line through (5, 2) with slope 4 crosses the vertical axis, we first need to use the given formula to find the equation of the line.
Using the point-slope form of a line, we have:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the given point (5, 2).
Plugging in m = 4 and (x1, y1) = (5, 2), we get:
y - 2 = 4(x - 5)
Simplifying, we get:
y = 4x - 18
To find the point where this line crosses the vertical axis, we set x = 0 and solve for y:
y = 4(0) - 18
y = -18
So the point where the line crosses the vertical axis is (0, -18).
Therefore, the answer is (x, y) = (0, -18).
To summarize, we used the given formula to calculate the equation of the line through (5, 2) with slope 4, and then found the point where this line crosses the vertical axis by setting x = 0 and solving for y.
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A computer selects a number
X
X
from 4 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible.
What is the distribution of
X
X
?
X
X
~ U(,)
Suppose that the computer randomly picks 35 such numbers. What is the distribution of
¯
x
x
¯
for this selection of numbers.
¯
x
x
¯
~ N(,)
What is the probability that the average of 35 numbers will be less than 7.9?
Answer:
22.5
Step-by-step explanation:
The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.
(a) Distribution of X is uniform distribution X to U(4,11).
(b) Sample size (n) = 35, distribution of mean would be moderate with value = (4+11)/2 = 7.5
Standard deviation = √ [(11-4)^2/(12*35] = 0.3415
Now
x to N (7.5, 0.3415)
(c) We have to find probability that the average of 35 numbers will be less than 7.9.
P(x < 7.9) = P(x < 7.9; 7.5; 0.3415)
Z = (7.9 -7.5)/0.3415
Z = 1.1713
P(x< 7.9)= P(Z < 1.1713)= 0.87932.
Thus, The required Distribution, selection and probability is X to U(4,11), x to N (7.5, 0.3415) and 0.87932 respectively.
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A dog eats 3 cans of dog food in 12 days. Write an equation to represent th
proportional relationship. Then find k, the constant of proportionality.
Let c =
Let d =
Equation:
= k•
k=-
The equation to represent the proportional relationship is c = 0.25d
How to determine the equation?Let c = the number of cans
Let d = the number of days
So, we have:
c = kd
Where k represents the constant of proportionality.
From the given parameters, we have:
3 = 12k
Divide both sides by 12
k = 0.25
Substitute k = 0.25 in c = kd
c = 0.25d
Hence, the equation to represent the proportional relationship is c = 0.25d
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an ecology center wants to set up an experimental garden in the shape of a rectangle. the length of the rectangle is 4 yards longer than the width. what are the dimensions of the garden if the enclosed area is 21 square yards. state units.