Answer:
36
Step-by-step explanation:
one calculator price =30/5=6
cost price of 6 calculator=6*6=36
NEED HELP ASAP FIRST PERSON TO CORRECTLY ANSWER WILL BE MARKED BRAINLIEST!!!!Degree: The________ exponent of the polynomial determines the______
Answer:
If the highest exponent of a polynomial function is even then the range of the function is never all real numbers.
Step-by-step explanation:
Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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Monyne buys 8 pair of jeans and 15 t-shirts for $193. Steven buys 3 pair of jeans and 12 t-shirts for $117. Write a system of linear equations to find the cost of each t-shirt. Solve the linear system by elimination
The system of linear equations is 8x + 15y = 193 and 3x + 12y = 117. Then, the cost of each pair of jeans is $11, and the cost of each t-shirt is $7.
To find the cost of each t-shirt, we need to write a system of linear equations and solve it by elimination. Let's use the variables x to represent the cost of each pair of jeans and y to represent the cost of each t-shirt.
The first equation comes from Monyne's purchase: 8x + 15y = 193
The second equation comes from Steven's purchase: 3x + 12y = 117
Now we can use the elimination method to solve the system of equations. First, we'll multiply the first equation by -3 and the second equation by 8 to eliminate the x variable:
-24x - 45y = -579
24x + 96y = 936
Adding the two equations together gives us:
51y = 357
Dividing both sides by 51 gives us the cost of each t-shirt:
y = 7
Now we can plug this value back into one of the original equations to find the cost of each pair of jeans:
8x + 15(7) = 193
8x + 105 = 193
8x = 88
x = 11
So the cost of each pair of jeans is $11 and the cost of each t-shirt is $7.
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13. A refrigerator has a variety of drinks.
The contents are shown below. If one drink
is picked randomly, then which of the
following is not true?
A. You are twice as likely to select a cola than
a water.
B. You are half as likely to select a lemonade
than o water
C. You are more likely to select a cola than a
water or a lemonade.
D. You are twice as likely to select a water
than a cola.
Answer: D
Step-by-step explanation:
if you where twice as likely to select a water than a cola, they would be flip flopped.
2(x+9)=38
is x=12 viable or non-viable
Answer:
x = 10, so non-viable.
Explanation:
\(2(12+9)=42\)
\(2(10+9)=38\)
How do I write 4 4/5 as an improper fraction
Answer:
24/5Step-by-step explanation:
4 4/5 is the same as (4 x 5) +4
4x5=20
20+4=24
24/5
The original cost of a shirt was £40. It was reduced to £32.80 in a sale.
Calculate the percentage decrease.
Answer:
18% decrease
Step-by-step explanation:
-Subtract the ending value from the starting value.
40.00 - 32.80 = 7.20
-Divide this number by the starting value.
7.20 / 40.00 = 0.18
-Multiply by 100 to find the percentage change
0.18 * 100 = 18% decrease
Which expression is equivalent to 76× + 68
Answer:
You can just switch them around, 68 + 76×
Answer:
4(19x+17)
Step-by-step explanation:
3.) Light travels at a speed of 1.25 x 107 miles per minute. Pluto's average distance from the
Sun is about 3,550,000,000 miles. On average, how long does it take sunlight to reach Pluto?
I have no idea whether those numbers are correct, and I'm not gonna bother looking them up.
But you gave us a speed and a distance, and you asked for a time.
We can just go ahead and use the formula: Time = (distance) / (speed) .
IF your numbers are true, then
Time = (distance) / (speed)
Time = (3.55 x 10⁹ mi) / (1.25 x 10⁷ mi/min)
Time = (3.55 x 10⁹ / 1.25 x 10⁷) minutes
Time = 2.84 x 10² minutes
Time = 284 minutes
Time = 4 hours 44 minutes
Simplify the difference quotient f(x)-f(a)/x-a
for the given function.
f(x)=6?4x?x2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This is the simplified difference quotient for the function f(x) = 6 - 4x - x^2. The difference quotient is a formula used to find the average rate of change of a function over a given interval.
In this case, we are given the function f(x) = 6 - 4x - x^2 and asked to simplify the difference quotient (f(x) - f(a))/(x - a). To simplify this expression, we need to first substitute the given function into the formula and evaluate. So we have:
(f(x) - f(a))/(x - a) = (6 - 4x - x^2 - [6 - 4a - a^2])/(x - a)
Next, we can simplify the numerator by combining like terms and distributing the negative sign:
= (-4x - x^2 + 4a + a^2)/(x - a)
We can further simplify by factoring out a negative sign and rearranging the terms:
= -(x^2 + 4x - a^2 - 4a)/(x - a)
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Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
Which ordered pair is a solution to the system of linear equation? 2x+ 3y=6
-3x+5y=10
Answer:
x = (-2)y = 2Step-by-step explanation:
2x + 3y = 6________( 1 )
-3x + 5y = 10_______( 2 )
( 1 ) × 3 ---- 6x + 9y = 18_____( 3 )
( 2 ) × 2 ---- -6x + 10y = 20_____( 4 )
\((4) + (3) \\ 6x + 9y + ( - 6x + 10y) = 20 - 18 \\ 6x + 9y - 6x - 10y = 2 \\ y = 2\)
y = 2 ,
\(2x + 3y = 6 \\ 2x + 3(2) = 2 \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ 2x = - 4 \\x = \frac{ - 4}{2} \\ x = ( - 2) \\ \)
find the length of a square whose diagonal is 15cm
you ordered a laptop from a company in alaska. The laptop costs $150. they charge you 15% off the cost of the laptop to ship it. how much will you pay for shipping
Answer:
$127.5
Step-by-step explanation:
150*15%=22.5.
150-22.5=127.5
Don't buy this, totally not worth it.
Answer:
$22.5
Step-by-step explanation:
We will pay 15% of 150 for shipping: 150 * 0.15 = 22.5
PLEASE GIVE BRAINLIEST MEANS ALOT
Find the unit rate for this situation: type 145 words in 5 minutes
Answer:
29 words per minute
Step-by-step explanation:
\( \frac{145}{5} = 29 \\ \frac{29}{1} = 29\)
Answer:
29 words per minute
Step-by-step explanation:
145/5 = 29 words per minute
Hope that helps!
What is the y value of the solution to the system of equations 3x 5y 17x 4y − 13?.
So, the y-value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13 is not possible to find, because the system is inconsistent and has no solution.
To find the y-value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13, we can use one of the methods for solving systems of equations, such as substitution, elimination, or graphing. In this case, we will use elimination method.
The first step of elimination method is to eliminate one of the variables by adding or subtracting the equations. In this case, we will multiply the first equation by 4 and the second equation by -3 and add them:
4(3x + 5y) = 4(17)
12x + 20y = 68
-3(4x + 4y) = -3(-13)
-12x - 12y = 39
then we can add these two equations:
12x + 20y = 68
-12x - 12y = 39
0 = 29
This is an impossible equation, which means that the system has no solution.
Therefore, the y value of the solution to the system of equations 3x + 5y = 17 and 4x + 4y = -13 is not possible to find, because the system is inconsistent and has no solution.
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( Cosec A - Cot A )^2=1- cos A/1+cos A
\(( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2=\cfrac{1-\cos(\theta )}{1+\cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2\implies \csc^2(\theta )-2\csc(\theta )\cot(\theta )+\cot^2(\theta ) \\\\\\ \cfrac{1^2}{\sin^2(\theta )}-2\cdot \cfrac{1}{\sin(\theta )}\cdot \cfrac{\cos(\theta )}{\sin(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\implies \cfrac{1}{\sin^2(\theta )}-\cfrac{2\cos(\theta )}{\sin^2(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\)
\(\cfrac{\cos^2(\theta )-2\cos(\theta )+1}{\sin^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{\sin^2(\theta )} \\\\\\ \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{1-\cos^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1]}\)
\(\cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1^2]}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos(\theta )-1][\cos(\theta )+1]} \\\\\\ \cfrac{\cos(\theta )-1}{-[\cos(\theta )+1]}\implies \cfrac{-[\cos(\theta )-1]}{\cos(\theta )+1}\implies \cfrac{1-\cos(\theta )}{1+\cos(\theta )}\)
If x−2/4=2, then x=10
Answer:
True.
Step-by-step explanation:
\(\frac{(10)-2}{4}=2\\\\\frac{8}{4}=2\\\\2=2\)
a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
Please help. I keep getting these wrong and I am not sure why!
Solution
\(f\left(x\right)=-\left(x-4\right)^{2}\)The graph
The vertex of a parabola is the point at the intersection of the parabola and its line of
symmetry
Any other point is a point on the graph, you can choose any desired point on the graph
A rectangular pool has a 6 ft
walkway around it. How many
more feet is the outer perimeter of the walkway than the perimeter of the pool? (Step by step response please)
How more feet is the outer perimeter of the walkway than the perimeter of the pool is 48 ft
Since 6ft is the width of walkaway
Hence:
Let increase in width be 12
Let increase in length be 12
Now let determine How many
more feet is the outer perimeter of the walkway than the perimeter of the pool
Outer perimeter Number of feets = 2×(12+12)
Outer perimeter Number of feets = 2×24
Outer perimeter Number of feets = 48 ft
Inconclusion How more feet is the outer perimeter of the walkway than the perimeter of the pool is 48 ft
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A'B is a translation of AB . Write the translation rule. Image of questions and answers below. POINTS UP FOR GRABS! MATHEMATICS GEOMETRY!
(x,y)⇒(x+5,y+10) is the translation rule for A'B, which is a translation of AB.
What is translation?A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be thought of as adding a constant vector to each point or changing the coordinate system's origin. A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction. A translation in mathematics moves a form left, right, up, or down but does not turn it. The translated (or picture) shapes appear to have the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.
Here,
A translation is a sort of transformation in which every point in a figure moves the same distance in the same direction. Slides are another term for translations. A translation can be described with words like "moved up 3 and over 5 to the left" or using notation.
The translation rule for A'B is a translation of AB is (x,y)⇒(x+5,y+10).
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Use the definition of Taylor series to find the Taylor series (centered at c ) for the function. f(x)=e 4x
,c=0 f(x)=∑ n=0
[infinity]
The answer is , the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.
The Taylor series of a function f(x) centered at c is given by the formula:
\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)
Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)
Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
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The Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:
f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...
First, let's find the derivatives of f(x) = e^(4x):
f'(x) = d/dx(e^(4x)) = 4e^(4x)
f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)
f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)
Now, let's evaluate these derivatives at x = c = 0:
f(0) = e^(4*0) = e^0 = 1
f'(0) = 4e^(4*0) = 4e^0 = 4
f''(0) = 16e^(4*0) = 16e^0 = 16
f'''(0) = 64e^(4*0) = 64e^0 = 64
Now we can write the Taylor series expansion:
f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...
Substituting the values we found:
f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...
Simplifying the terms:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
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Jason is closing on a $430,000 home. He made a 13% down payment and is borrowing the rest. What is the approximate range of costs that he might expect to pay at the closing?
Answer:
$8,600 - $31,100
Step-by-step explanation:
Hope this helps :)
Please help Asap. No links or files, i will report! Show work Please!
The value of x is 13.85.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
(7x + 1)° and (6x - 1)° makes a straight angle.
This means,
(7x + 1) + (6x - 1) = 180
7x + 1 + 6x - 1 = 180
13x = 180
x = 180/13
x = 13.85
Thus,
x is 13.85°
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The following table represents the highest educational attainment of all adultresidents in a certain town. If a resident who has a master's degree is chosen atrandom, what is the probability that they are aged 40 or over? Round your answer tothe nearest thousandth.
The answer is: 0.0362
The total number of Master's degree holders = 2848 (from the question)
In order to choose people 40 and above from this Master's degree holder subset,
You choose:
People 40-49 AND People 50 and over.
Number of people 40-49 = 475
Number of people 50 and over = 699
But we also need to take into consideration, the probability of picking a person 40-49 years old OR 50 and over
total Number of people 40 - 49 are 3518
The total Number of people 50 and above are 6518
Thus, we can write the probability as:
\(\begin{gathered} P(\text{choosing 40-49)=}\frac{475}{3518} \\ P(\text{choosing 50 and above)=}\frac{699}{6518} \\ P(choo\sin g\text{ Master's degre}e)=\frac{2848}{19076} \\ \\ \text{Thus, for choosing 40-49 AND Master's degre}e\colon \\ P(\text{choosing 40-49 AND Master's degr}ee)=\frac{475}{3518}\times\frac{2848}{19076}=0.0202 \\ \\ \text{For choosing 50 and above AND Master's degre}e\colon \\ P(\text{choosing 50 and above AND Master's degree)=}\frac{699}{6518}\times\frac{2848}{19076}=0.016 \\ \\ \text{Thus choosing Master's degree holder, 40 or over:} \\ P(\text{choosing 40-49 AND Master's degr}ee)+ \\ P(\text{choosing 50 and above AND Master's degree)} \\ =0.0202+0.016=0.0362 \end{gathered}\)The final answer is: 0.0362
Someone plz help I’m timed
Answer:
-8x^3 + 9x^2 - 28 (Last choice)
Step-by-step explanation:
The question is asking what f(x) - g(x) is.
Use the given equations and add/subtract like-terms,
-8x^3 +20x^2 - 5 - 11x^2 -23 = The solution above
PLEASE HELP ASAP!!!!
Answer:
1/5
Step-by-step explanation:
There are 5 numbers and 5 sides on the shape making the chance 1/5
if you have 2, 6 sided cubes and you can add any numbers to them, which numbers do you put on them so that you can display every day of the month?
Answer: its 12 and 8 10 12 14 16 either of those
Step-by-step explanation:
yellowstone national park is a popular field trip destination. this year the senior class at high school a and the senior class at high school b both planned trips there. the senior class at high school a rented and filled 14 vans and 11 buses with 531 students. high school b rented and filled 7 vans and 7 buses with 315 students. every van had the same number of students in it as did the buses. how many students can a van carry? how many students can a bus carry?
The van contains 12 students and the bus contain 33 students.
The given information is:
The senior class at the high school rented and filled 14 vans and 11 buses with 531 students.
For this, we have to convert it into an equation:
14v+11b=531---------(1)
A High school b rented and filled 7 vans and 7 buses with 315 students.
For this, we have to convert it into an equation:
7v+7b=315----------(2)
To, find the number of students in the van and bus we have to solve two equations :
14v+11b=531
7v+7b=315*2
---------------------
14v+11b=531
14v+14b=630
----------------
-3b=-99
b=33
The total number of students on the bus is 33 members.
Now substitute the b value in any equation, and substitute in equation(2) we get the v value:
7v+7(33)=315
7v+231=315
7v=84
v=12
The total number of students in the van is 12 members.
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