A cylinder has a diameter of 14 centimeters and a volume of 112π cubic centimeters. What is the height in centimeters of the cylinder?

Answer:

  -1

Step-by-step explanation:

The average rate of change is the ratio of the difference in y-values to the difference in x-values of corresponding points.

At x=-1, f(x) = (-1)^2 -(-1) -1 = 1

At x=1, f(x) = (1)^2 -(1) -1 = -1

So, points on the graph are (-1, 1) and (1, -1).

Then the change in y over that interval is -1 -1 = -2.

The change in x over that interval is 1 -(-1) = 2.

The average rate of change is ...

  ∆y/∆x = -2/2 = -1 . . . . average rate of change on (-1, 1)

Answer:

13.44% probabilith that at most 3 are in excellent health.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are in excellent health, or they are not. The probability of an adult being in excellent health is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

43% of adults questioned reported that their health was excellent.

This means that [tex]p = 0.43[/tex]

13 adults randomly selected

This means that [tex]n = 13[/tex]

Find the probability that when 13 adults are randomly selected, at most 3 are in excellent health.

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{13,0}.(0.42)^{0}.(0.58)^{13} = 0.0008[/tex]

[tex]P(X = 1) = C_{13,1}.(0.42)^{1}.(0.58)^{12} = 0.0079[/tex]

[tex]P(X = 2) = C_{13,2}.(0.42)^{2}.(0.58)^{11} = 0.0344[/tex]

[tex]P(X = 3) = C_{13,3}.(0.42)^{3}.(0.58)^{10} = 0.0913[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0008 + 0.0079 + 0.0344 + 0.0913 = 0.1344[/tex]

13.44% probabilith that at most 3 are in excellent health.

Answer:

over 90 percent said that the experience was a key influence on the direction of their lives.

Step-by-step explanation:

This is the most helpful reason to implement study abroad programs in high schools.

Answer:

C

Step-by-step explanation:

i took the test

Answer :

34.56

I hope it helps

Answer:

Marisol made $138.75 on the sale of the jacket

Step-by-step explanation:

First we are told that Fernando bought a jacket for $185, and sold it for 1 1/12 what he paid.

Therefore, 1 1/2 of 185;

= 1.5 × 185 = $277.5

Therefore, Fernando sold the Jacket for $277.5

Next, we are told that:

Marisol spent 1/5 as much as Fernando on the same jacket

This means that Marisol spent 1/5 of $185 on the jacket

= 1/5 × 185 = 0.2 × 185 = $37

Therefore, Marisol spent $37 to buy the same jacket

Next, Marisol sold the jacket for 1/2 as much as Fernando. Since Fernando sold the Jacket for $277.5, Marisol sold the jacket for 1/2 of 277.5, and this is calculated as:

1/2 of 277.5 = 0.5 × 277.5 = 138.75

Therefore, Marisol made $138.75 on the sale of the jacket.

Answer:

x = 37.4

Step-by-step explanation:

Answer:

37.4

Step-by-step explanation:

If you plug in 157, we get 5x-157=30. Then we will add 157 to both sides to get 5x=187 and then divide by 5 on both sides leaving x on one side and the answer on the other so, 187/5=37.4.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

Step-by-step explanation:

A quadrilaterals are plane figures bounded by four sides. Examples are; square, rectangle, parallelogram, kite, trapezium etc.

Given: parallelogram WXYZ

           ZX ≅ WY

Prove: WXYZ is a rectangle

WZ ≅ XY (opposite sides property)

YZ ≅ WX (opposite sides property)

<WZY ≅ <ZWX ≅ <WXY ≅ <XYZ = [tex]90^{0}[/tex] (angle property of a rectangle)

<YZW ≅ <WXY (opposite angles are congruent)

ΔZYW ≅  ΔXTW (Side-Angle-Side property)

ZX ≅ WY

Therefore, the parallelogram is a rectangle.

Answer: This is the right answer

Step-by-step explanation:

Below

Answer:

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

Answer:

544

Step-by-step explanation:

It is right on Khan academy so I hope this helps!!!

Answer:

D

Step-by-step explanation:

because i took the test

Answer:

Option D: (9,3)

Step-by-step explanation:

Answer:

4( x+6) (x-1)

Step-by-step explanation:

4x^2+20x-24

Factor out the greatest common factor

4(x^2 +5x-6)

What 2 numbers multiply to -6 and add to 5

6*-1 = -6

6+-1 = 5

4( x+6) (x-1)

Answer:

[tex]4(x-1)(x+6)[/tex]

Step-by-step explanation:

→Take out the GCF (Greatest Common Factor), which is 4:

[tex]4x^2+20x-24[/tex]

[tex]4(x^2+5x-6)[/tex]

→Split the middle term into two numbers that can be added to get 5 and multiplied to get 6:

[tex]4(x-1)(x+6)[/tex]

Answer: 21 is the least common denominator

Step-by-step explanation:

The least common denominator of 7 and 6 is 42, but will be simplified.

The fractions would turn into 30/42 and 28/42.

Now simplify.

15/21 and 14/21

This cannot be simplified any further without losing the common denominator

Answer:

The least common denominator is 21.

Step-by-step explanation:

Put the fractions out of a denominator of 42

5/7 = 30/42          4/6 = 28/42

Divide both fractions by 2

35/42 = 15/21       4/6 = 14/21

Answer: 14

Step-by-step explanation:

Answer:

[tex]\sigma = 5.5[/tex]

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution [tex]\bar X[/tex] and for this case we know that the distribution is given by:

[tex] \bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})[/tex]

And the standard error would be:

[tex]\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}[/tex]

And replacing we got:

[tex]\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611[/tex]

Step-by-step explanation:

For this case we know the population deviation given by:

[tex]\sigma = 5.5[/tex]

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution [tex]\bar X[/tex] and for this case we know that the distribution is given by:

[tex] \bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})[/tex]

And the standard error would be:

[tex]\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}[/tex]

And replacing we got:

[tex]\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611[/tex]

Answer:

90 degree

Step-by-step explanation:

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = 90 deg

Hope this helps!

Answer:

2x^2 -8x

Step-by-step explanation:

2x(x-4)

Distribute

2x*x -2x*4

2x^2 -8x

The right answer is 2x^2-8x

please see the attached picture for full solution

Hope it helps

good luck on your assignment

Answer:

(a)f(0)=-3

(b)f(1)=-1

(c)f(5)=7

(d)f(6)=211

Step-by-step explanation:

[tex]f(x)=\left\{\begin{array}{ccc}2x-3, &-2\leq x \leq 5 \\x^3-5, &5<x\leq6 \end{array}\right[/tex]

(a) f(0)

For x such that , [tex]-2\leq x \leq 5, f(x)=2x-3[/tex]

Since [tex]-2\leq 0\leq 5[/tex]

[tex]f(0)=2(0)-3=0-3\\f(0)=-3[/tex]

(b)f(1)

For x such that , [tex]-2\leq x \leq 5, f(x)=2x-3[/tex]

Since [tex]-2\leq 1\leq 5[/tex]

[tex]f(1)=2(1)-3=2-3\\f(1)=-1[/tex]

(c)f(5)

For x such that , [tex]-2\leq x \leq 5, f(x)=2x-3[/tex]

Since [tex]-2\leq 5\leq 5[/tex]

[tex]f(5)=2(5)-3=10-3\\f(5)=7[/tex]

(d)f(6)

For x such that [tex]5<x\leq6, f(x)=x^3-5[/tex]

[tex]f(6)=6^3-5\\f(6)=211[/tex]

Answer: 5

Step-by-step explanation:

sqrt of 100 = 10

10/2 = 5

Answer:

7.61

Step-by-step explanation:

Sum all of the values

2.22+2.97+2.42=7.61

Answer:

761

Step-by-step explanation:

Answer:

$0.95 per song.

Step-by-step explanation:

If it is $6.65 for 7 songs, divide that cost by the number of songs and you get the unit rate. Hope this helps!

Answer:

The initial amount of cupcakes = 48

If they sold each cupcake for $2.75, they would make $132 which is more than the required $100 to go on band field trip to New York.

The excess money available for spending is thus $32

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

They need to make $100

Let x be the initial amount of cupcakes

During the first hour, Brady sold (1/3) of the cupcakes and Jaquan sold (3/8)

Total amount of cupcakes sold in the first hour = [(1/3) × x] + [(3/8) × x] = (17x/24)

Amount of cupcakes remaining after the first hour = x - (17x/24) = (7x/24)

After the first hour, they sold 2 cupcakes

Amount of cupcakes left after the first hour = (7x/24) - 2 = (0.292x - 2)

During the second hour, they sold 75% of the remaining cupcakes, meaning they had 25% of the remaining cupcakes left.

Amount of cupcakes left = 25% × (0.292x - 2)

= (0.07292x - 0.5)

During the third hour, they sold the remaining 3 cupcakes

Meaning that the amount of cupcakes left from the second hour = 3

(0.07292x - 0.5) = 3

0.07292x = 3.5

x = (3.5/0.07292) = 47.998 = 48 cupcakes.

Hence, the initial amount of cupcakes = 48.

If they sold each cupcake for $2.75, they would make 2.75 × 48 = $132

Which is more than the required $100 to go on band field trip to New York.

The excess money available for spending is thus $132 - $100 = $32.

Hope this Helps!!!

Answer:

Step-by-step explanation:

For brand A,

Mean, x1 = (34.36 + 31.26 + 37.36 + 28.52 + 33.14 + 32.74 + 34.34 + 34.33 + 34.95)/9 = 33.44

standard deviation, s1 = √(summation(x - mean)²/n

Summation(x - mean)² = (34.36 - 33.44)^2 + (31.26 - 33.44)^2 + (37.36 - 33.44)^2 + (28.52 - 33.44)^2 + (33.14 - 33.44)^2 + (32.74 - 33.44)^2 + (34.34 - 33.44)^2 + (34.33 - 33.44)^2 + (34.95 - 33.44)^2 = 49.6338

Standard deviation = √(49.6338/9

s1 = 2.35

For brand B,

Mean, x2 = (41.08 + 38.22 + 39.59 + 38.82 + 36.24 + 37.73 + 35.03 + 39.22 + 34.13 + 34.33 + 34.98 + 29.64 + 40.60 )/13 = 36.89

Summation(x - mean)² = (41.08 - 36.89)^2 + (38.22 - 36.89)^2 + (39.59 - 36.89)^2 + (38.82 - 36.89)^2 + (36.24 - 36.89)^2 + (37.73 - 36.89)^2 + (35.03 - 36.89)^2 + (39.22 - 36.89)^2 + (34.13 - 36.89)^2 + (34.33 - 36.89)^2 + (34.98 - 36.89)^2 + (29.64 - 36.89)^2 + (40.60 - 36.89)^2 = 124.5024

Standard deviation = √(124.5024/13

s2 = 3.09

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

For a 98% confidence interval, we would determine the z score from the t distribution table because the number of samples are small.

Degree of freedom =

(n1 - 1) + (n2 - 1) = (9 - 1) + (13 - 1) = 20

z = 2.528

x1 - x2 = 33.44 - 36.89 = - 3.45

Margin of error = z√(s1²/n1 + s2²/n2) = 2.528√(2.35²/9 + 3.09²/13) = 2.935

The 98% confidence interval is

- 3.45 ± 2.935

Answer:

x - 15 = 30

x = 45

Step-by-step explanation:

Answer:

D: 200

Step-by-step explanation:

1/5x-2/3 times 15=30

Simplify each term

x/5 -10=30

Move all terms not containing x to the right side of the equation

x/5=40

Multiply both sides of the equation by 5

5 times x/5=5 times 40

Simplify both sides of the equation

x=200

Hope this helped!

Answer:

f(x) has a slope of -1 and has a range of all real numbers.

Step-by-step explanation:

A linear function is a continuous function, so that exist a range value for all value of the domain, which corresponds to all real numbers. Regarding the function described above, the y- and x-intercepts are, respectively:

x-Intercept

[tex]0 = - x-24[/tex]

[tex]x = -24[/tex]

f(x) has a x-intercept of (-24,0).

y-Intercept

[tex]f(x) = 0 - 24[/tex]

[tex]f(x) = -24[/tex]

f(x) has a y-intercept of (0, -24).

Lastly, the linear function has a slope of -1.

Answer:

D AND E

Step-by-step explanation:

edu I took it

Answer:

30

Step-by-step explanation:

Answer:

[tex] \bar X \sim N (\mu ,\frac{\sigma}{\sqrt{n}})[/tex]

Then the mean would be:

[tex] \mu_{\bar X}= 2.02[/tex]

And the deviation:

[tex] \sigma_{\bar X}= \frac{3.00}{\sqrt{45}}= 0.447[/tex]

And the distribution would be given by:

[tex] \bar X \sim N(2.02, 0.447)[/tex]

Step-by-step explanation:

For this case we can define the variable of interest X as the amount of change in UF student's pockets and we know the following parameters:

[tex] \mu = 2.02, \sigma =3.00[/tex]

And we select a sample of n=45. Since this sample size is higher than 30 we can apply the central limit theorem and the distirbution for the sample size would be given by:

[tex] \bar X \sim N (\mu ,\frac{\sigma}{\sqrt{n}})[/tex]

Then the mean would be:

[tex] \mu_{\bar X}= 2.02[/tex]

And the deviation:

[tex] \sigma_{\bar X}= \frac{3.00}{\sqrt{45}}= 0.447[/tex]

And the distribution would be given by:

[tex] \bar X \sim N(2.02, 0.447)[/tex]

Answer:

B because when you compare y= mx+ c where M is the slope or gradient

Answer:

Solution,

y-x+z

=6-4.6+0.59

=6+0.59-4.6

=6.59-4.6

=1.99

Hope this helps...

good luck on your assignment

Answer:

(7-2x)3 =9-10x

x= -3

Step-by-step explanation:

we let the number to be x.

twice a number=2x is decreased by 7 that is to say 7-2x, is multiplied by 3, we have (7-2x)3.

the result is 9 less than 10times the number which is =9-10x.

so bringing all these together we have;

(7-2x)3=9-10x.

what is the number?

solving, we have:

(7-2x)3=9-10x

21-6x=9-10x

21-9= -10x+6x

12= -4x

dividing both sides by -4 we have our number

x= -3.

for proof we can substitute x=-3 into the equation.

21-6(-3) =9-10(-3)

21+18=9+30

39=39

Answer:

120

Step-by-step explanation: