Use the figure to complete the statements.
The area of the base, B, of the pyramid is cm2.
The volume of the pyramid is cm3.asap

Answer:

We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.

Step-by-step explanation:

We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.

A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.

Let [tex]\mu[/tex] = mean number of movies watched by college students last month.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 7.6 movies      {means that college students watch higher or equal movies a month than high school students}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 7.6 movies     {means that college students watch fewer movies a month than high school students}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                          T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean number of movies watched last month = 7.1

            σ = population standard deviation = 0.9

            n = sample of college students = 39

So, the test statistics  =  [tex]\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }[/tex]

                                       =  -3.47

The value of z test statistics is -3.47.

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is less than the critical value of z as -3.47 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that college students watch fewer movies a month than high school students.

Answer:

[tex]{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}[/tex]

Step-by-step explanation:

The hyperbola has x-intercepts, so it has a horizontal transverse axis.

The standard form of the equation of a hyperbola with a horizontal transverse axis is  [tex]\dfrac{(x - h)^{2}}{a^{2}} - \dfrac{(y - k)^{2}}{b^{2}} = 1[/tex]

The center is at (h,k).

The distance between the vertices is 2a.

The equations of the asymptotes are[tex]y = k \pm \dfrac{b}{a}(x - h)[/tex]

1. Calculate h and k. The hyperbola is symmetric about the origin, so  

h = 0 and k = 0

2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6

a = 6/2 = 3  

3. For 'b': The equation for the asymptote with the positive slope is  

[tex]y = k + \dfrac{b}{a}(x - h) = \dfrac{b}{a}x[/tex]

Thus,  asymptote has the slope of

[tex]\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}[/tex]

4.  The equation of the hyperbola is

[tex]\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}[/tex]

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.

Answer: c

Step-by-step explanation: edge 23

Answer:

18.85

Step-by-step explanation:

The area of a circle is A= pi × r² (r being the radius)

The radius is half the diamter so the radius would be 6

Plug 6 into the equation for the radius

A = pi × 6²

A = pi ×36

A= 18.85

Answer:

  point (-1, 2)

Step-by-step explanation:

Your equation is shown here in point-slope form, so a point on the graph can be read from the given equation. (No further rewrite is necesary.)

The point-slope form is ...

  y -k = m(x -h)

Comparing this to your given equation ...

  y -2 = (-2/3)(x -(-1))

we see that ...

  k = 2, m = -2/3, h = -1

The point on the graph is (h, k) = (-1, 2).

Answer:

point (-1,2)

Step-by-step explanation:

Answer:

x =1

Step-by-step explanation:

Assuming the figures are similar, we can use ratios to solve

x        2

---- = -----

4         8

Using cross products

8x = 2*4

8x = 8

Divide by 8

8x/8 = 8/8

x=1

Answer:

a) 0.426 = 42.6% probability that a customer waits less than a second for credit card approval.

b) 0.189 = 18.9% probability that a customer waits more than 3 seconds.

c) The minimum approval time for the slowest 5% of transactions is 5.39 seconds.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

An online retailer has determined that the average time for credit card transactions to be electronically approved is 1.8 seconds.

This means that [tex]m = 1.8, \mu = \frac{1}{1.8} = 0.5555[/tex]

(a) Use an exponential density function to find the probability that a customer waits less than a second for credit card approval.

This is [tex]P(X \leq 1)[/tex].

[tex]P(X \leq 1) = 1 - e^{-0.5555*1} = 0.426[/tex]

0.426 = 42.6% probability that a customer waits less than a second for credit card approval.

(b) Find the probability that a customer waits more than 3 seconds.

This is P(X > 3).

[tex]P(X > x) = 1 - P(X \leq 3) = 1 - (1 - e^{-0.5555*3}) = 0.189[/tex]

0.189 = 18.9% probability that a customer waits more than 3 seconds.

(c) What is the minimum approval time for the slowest 5% of transactions

This is x for which [tex]P(X \leq x) = 0.95[/tex]

So

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

[tex]0.95 = 1 - e^{-0.5555x}[/tex]

[tex]e^{-0.5555x} = 0.05[/tex]

[tex]\ln{e^{-0.5555x}} = \ln{0.05}[/tex]

[tex]-0.5555x = \ln{0.05}[/tex]

[tex]x = -\frac{\ln{0.05}}{0.5555}[/tex]

[tex]x = 5.39[/tex]

The minimum approval time for the slowest 5% of transactions is 5.39 seconds.

B: M; total amount of money

Step-by-step explanation:

because the time is a independent variable

Answer:

b id the answer

Step-by-step explanation:

becasue i just finished my test

Answer:

Yes

Step-by-step explanation:

There are total 10+4 = 14 cards

P(higher than 5) = 10/14 = 5/7

P(lower than 5) = 4/14 = 2/7

There's a higher chance of the card being greater than 5

Step-by-step explanation:

Step 1:  Determine if Gareth is correct

Total number of cards → 10 + 4 → 14

Probability of choosing lower → 4/14 → 2/7

Probability of choosing higher → 10/14 → 5/7

Since 5/7 > 2/7, that means that Gareth is correct be choosing a higher card.

Answer:  Yes

Answer:

0.4

Step-by-step explanation:

Round 0.600 - 0.200 = 0.4

Answer:

140000000

Step-by-step explanation:

Answer:  2.3

Step-by-step explanation:

9.2 is divided  by 4 is 2.3 so the last quarter is 2.3

Answer:

Step-by-step explanation:

The given function is

[tex]f(c)=7c[/tex]

Where [tex]c[/tex] represents cars. This function models the profits they make.

Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.

The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.

Therefore, the domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].

(Notice that we specify that the independent valur can only use whole positive numbers only).

Answer:

144

Step-by-step explanation:

4ac=

4(3)(12)=

144

Hope this helps!

So the right answer is 7.

Look at the attached picture

Hope it will help you..

good luck on your assignment

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

[tex]4(x - 3) = 16 \\ 4x - 12 = 16 \\ 4x = 16 + 12 \\ 4x = 28 \\ \frac{4x}{4} = \frac{28}{4} \\ x = 7[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

Put the given number into the formulas and do the arithmetic:

  Volume = s³ = (4 in)³ = 64 in³

  Area = 6s² = 6(4 in)² = 96 in²

Find the value of the expression when p equals 9.

So to solve the expression: 6p + 5

We have to plug in the 9 for p

6p + 5 = ?

6(9) + 5 = ?

Then, we multiply solve.

6 x 9 = 54

54 + 5 = 59

Thus, the final value of the expression is 59.

The value of the expression when p is equal to 9 is 59.

Given that,

Expression; [tex]\rm 6p+5[/tex]

We have to determine,

The value of p when p is equal to 9?

According to the question,

Expression; [tex]\rm 6p+5[/tex]

To determine the value of p the calculation must be done in following steps following all the steps given below.

                   [tex]= 6p+5\\\\= 6 \times 9 + 5\\[/tex]

                    [tex]= 6 \times 9 + 5\\\\= 54 +5\\\\=59[/tex]

Hence, The required value of the expression when p is equal to 9 is 59.

For more details refer to the link given below.

https://brainly.com/question/18334317

Answer:

BC or n=72

Step-by-step explanation:

ABC≈DEF

[tex]\frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}=k[/tex]

[tex]\frac{54}{9} =\frac{n}{12}[/tex]

[tex]9n=54*12[/tex]

[tex]9n=648[/tex]  (then divide both sides by 9.)

[tex]n=72[/tex]

to find the surface area you have to find the area of EACH faces then just add them together and you'll get the answer :) im sorry if i cant give tje. answer because i dont know how the diagram looks like :(

hope this helps

Answer:

9 and 11

Step-by-step explanation:

The squareroot of 202 is 14... so the numbers are both less than 14.

9*9= 81

11*11= 121

121+81= 202

Answer:

9 and 11

Step-by-step explanation:

(9^2) + (11^2) Simplify the exponents

81 + 121 = 202

Answer:

idk

Step-by-step explanation:

Answer:

  y = -3/4x -15/4

Step-by-step explanation:

We assume you mean the given line to be ...

  y = -3/4x -21/4

The slope of this line is -3/4. The parallel line will have the same slope.

__

In point-slope form the equation of the line you seek is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y = -3/4(x -(-5)) . . . . .substitute m=-3/4 and (h, k) = (-5, 0)

  y = -3/4x -15/4

Answer:

E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.

Step-by-step explanation:

x% confidence interval between a and b.

Interpretation: We are x% sure that the true value is between a and b.

In this question:

95% confidence level

30% with a margin of error of 2.2%.

So

30 - 2.2 = 27.8%

30 + 2.2 = 32.2%

So the correct answer is:

E. We are 95% confident that 27.8% to 32.2% of all Chinese adults smoke.

Answer:

0.512xx

Step-by-step explanation:

100% - 36% = 64%

64% = 0.64

thus after 1st yr, she is left with the value of 0.64xx

100% - 20% = 80%

80% = 0.8

thus after 2nd yr, she is left with the value of 0.8 x (0.64xx) = 0.512xx

Answer:

False

Step-by-step explanation:

All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.

Answer:

A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.

Step-by-step explanation:

Answer:

My opinion is that you can exist any many things as you navigate through life. This quote is very wrong because you can exist in doing things for other people and not just yourself! You can not be selfish your entire life! I think that you should be for other people! I think that doing stuff for yourself is okay to a certain extent!

Step-by-step explanation:

THIS IS SOOO WRONG( idk tho)

This quote is telling us that you can't exist unless you are doing something worth being remembered for. Through out our lives we all listen to what the world tells us, but not many of us actually do what we want to. We live our lives for someone else, but I plan to change that. Instead of letting the public decide how I should live my life I will live for me. I will work harder in school, become smarter than my parents and grow as a person. I want to be remembered for stepping out of my comfort zone and being different. This is the year that I exist, and show people that I exist for a purpose.

Step-by-step explanation:

Went really deep with this one.

Answer:

A.8X-8

Step-by-step explanation:

because you cannot subtract a variable from a non variable hope this helps

Answer

8 * -8

Step-by-step explanation:

Hope this helps have a wonderful day