A survey asked 100 seventh graders if they have either a cell phone or a tablet. Of the 32 students that have a cell phone, 19 do not have a tablet. Of the 70 students that have a tablet, 57 do not have a cell phone. A total of 11 students stated they do not have a cell phone or a tablet. Some of this information is included in the frequency table.

help please!

Using the normal distribution and the central limit theorem, it is found that there is a 0.24 = 24% probability of observing a difference this large or larger.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, for each sample, the mean and standard error are given by:

[tex]\mu_I = 0.4, s_I = \sqrt{\frac{0.4(0.6)}{75}} = 0.0566[/tex]

[tex]\mu_{II} = 0.4, s_{II} = \sqrt{\frac{0.4(0.6)}{90}} = 0.0516[/tex]

Hence, for the distribution of differences, the mean and the standard error are given by:

[tex]\mu = \mu_I - \mu_{II} = 0.4 - 0.4 = 0[/tex]

[tex]s = \sqrt{s_I^2 + s_{II}^2} = \sqrt{0.0566^2 + 0.0516^2} = 0.0766[/tex]

The probability of observing a difference this large or larger is given by P(|Z| > Zx), in which Zx is the z-score when X = 0.0766. Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.09 - 0}{0.0766}[/tex]

Z = 1.175.

Hence the probability is P(|Z| > 1.175), which is 2 multiplied by the p-value of Z = -1.175. Then:

2 x 0.12 = 0.24.

0.24 = 24% probability of observing a difference this large or larger.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

The area of a rectangle is l*w. We have the length as 4.5 in and we can find the width by doing 3+2+4.5 = 9.5 in.

Then, we multiply them. 4.5*9.5 = 42.75 inches²

Answer:

x=74

Step-by-step explanation:

if angle ABE = 148. then, angle EBC = 32

and for angle ECB an BEC,

180-32 = 148

148/2 = 74

so, angle ECB and angle BEC  = 74

we know, angle BCE and angle CEF are equal because they are alternate angles

so, x = 74

Answer:

y intercept:(0,-13)
x intercept: (13/5,0)

Step-by-step explanation:

The way we find intercepts (both x and y) is to plug in zero.

x int:

We set y to 0:

0=5x-13

add thirteen to both sides

13=5x

x=13/5

y int:

set x to zero

y=5(0)-13

y= - 13

Answer:

it actually equals 5

Step-by-step explanation:

the reason it equals 5, is because there are 5 variables in there, so because of the addition sign, it becomes 1+1+1+1+1=5. you cannot prove me wrong.

Answer:

the correct answer is 4

Step-by-step explanation:

2 + 2 = 4

hope this helps

have an awesome day -TJ :)

The area of waffle in the cone is the amount of space covered by the waffle

The cone has 5630 square millimeter of waffle

The surface area of a cone is calculated using:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

For the complete 72 mm tall cone, we have:

Height (h) = 72 mm

Radius (r) = 42 mm/2 = 21 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 21 * (21+[tex]\sqrt{[/tex](72^2 + 21^2))

Evaluate

A = 3.142 * 21 * (21+75)

A = 6334.272

When the cone is cut at the top, we have:

Height (h) = 24 mm

Radius (r) = 14 mm/2 = 7 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 7 * (7+[tex]\sqrt{[/tex](24^2 + 7^2))

Evaluate

A = 3.142 * 7 * (7 + 25)

A = 703.808

Calculate the difference (d) between the areas

d = 6334.272 - 2.5*703.808

Evaluate

d = 5630.464

Approximate

d = 5630

Hence, the cone has 5630 square millimeter of waffle

Read more about surface area at:

https://brainly.com/question/6613758

Jessica’s adjusted balance for October with 3 purchases and 2 payments comes to be $1136.71.

In this method payment done by the borrower in between the month is adjusted in the final balance on which interest is to be levied.

Details of transactions for the month of October are given as:

Date     Transaction/amount            Details

10/1             $1,240.55                   beginning balance

10/2            $36.43                            purchase

10/10           $75.00                            payment

10/13          $131.79                             payment

10/20          $41.52                             purchase

10/22          $25.00                            purchase

Total balance at the end of October

= 1240.55+36.43-75-131.79+41.52-25

Total balance at the end of October =$1136.71

Therefore, Jessica’s adjusted balance for October is $1136.71.

To get more about the adjusted balance method visit:

https://brainly.com/question/1808408

Answer: b.) 1,033.76

Step-by-step explanation:

the line passes through the point ( - 8 ; - 2)

so f(-8) = - 2

Answer:

A

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

100° is an exterior angle of Δ MLN , then

∠ LMN + 60° = 100° ( subtract 60° from both sides )

∠ LMN = 40°

Answer:

C

Step-by-step explanation:

because density equal all the rest

The expression that represents waste reduction is w - 0.35x.

The paper waste produced now is 5.2 pounds per month.

The exression that represents waste production is the total amount of waste generated less athe reduction in waste.

w - 0.35x

Waste now produced = 8 - 0.35 x 8 = 5.2 pounds

To learn more about mathematical expressions, please check: https://brainly.com/question/11980704

Answer:

Step-by-step explanation:

there are 3 feet in a yard

1 foot = 12 inches

3 feet = 36 inches

36/12 = 3 feet

Answer:

9

Step-by-step explanation:

twice the value of 4.5 equals 9

Answer:

4/5

Step-by-step explanation:

5/5 - 1/5 = 4/5 is the probability that a person does not live in an industrialized country

The P( person does not lives in an industrialized country ) = 4/5

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

P( person lives in an industrialized country ) = 1/5

Now, using the Completement probability

P ( person lives in an industrialized country )  + P( person does not lives in an industrialized country ) = 1

P( person does not lives in an industrialized country )

= 1- P ( person lives in an industrialized country )

P( person does not lives in an industrialized country )

= 1- 1/5

= 4/5

Hence, P( person does not lives in an industrialized country ) = 4/5.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ2

Answer:

1572864

Step-by-step explanation:

the nth term of a geoemtric series can be calculated using the following rule : [tex]a_n=a_1(r)^n^-^1[/tex]

where an = nth term, a1 = first term , r = common ratio and n = term position.

here, the first term is 6, the common ratio is 4 and the term position is 10 ( because we want to find the 10th term )

so a1 = 6 , r = 4 and n = 10

using these values we plug them into the rule

recall rule : [tex]a_n=a_1(r)^n^-^1[/tex]

==> plug in a1 = 6 , r = 4 and n - 10

[tex]a_1_0=6(4)^1^0^-^1[/tex]

==> subtract 10 and 1

[tex]a_1_0=6(4)^9[/tex]

==> simplify exponent

[tex]a_1_0=6(262144)[/tex]

==> simplify multiplication

[tex]a_1_0=1572864[/tex]

and we are done!

Note:

the common ration was found by dividing the first term by the next term

Answer:

60 days.

Step-by-step explanation:

This is  a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.

12 = k/100                   Multiply both sides by 100

1200 = k

20 = k/x                       Multiply both sides by x

20x = k

20x = 1200                 Divide by 20

20x/20 = 1200/20

x = 60 days.  

An inverse proportion works by making a constant k. The  constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.

Answer:

a = ±6x

b = ±7

Step-by-step explanation:

1.

a² = 36x²

a = ±√(36x²)

a = ±6x

2.

b² = 49

b = ±√(49)

b = ±7

Answer:

11,682 the answer is that hope you get a A!

531

×22

+1062

+1062  

=11682

Therefore:

531 × 22 = 11,682

The rectangular point that represents (4, - pi/3) is the one in option b: (2, -2√3).

For a point (x, y), the polar coordinates are:

Then we must have:

R = 4 =  √(x^2 + y^2)

Notice that for all the given points we have the radius equal to 4, so the only part that we care is the angle one:

-pi/3 = Atan(y/x)

tan(-pi/3) = y/x = -1.73

So, y and x must have different signs, and because the angle is negative, we will say that the y-component must be negative.

So the correct option will be b: (2, -2√3)

y/x = -2*√3/2 = √3 = -1.73

If you want to learn more about polar coordinates, you can read:

https://brainly.com/question/14965899

Answer: Quiz answer Unit 4 lesson 6

all answers are right

Step-by-step explanation:

1.) Given the polar coordinates (4,-pi3)which of the following rectangular coordinate pairs represents the same point?

Answer is B: (2,-2sqrt3)

2.) Given the rectangular coordinates (-5 5) which of the following polar coordinate pairs in, radians, represent the same points?

the correct option is D. (5√2,3π4)

3.)Rewrite in rectangular form: r=8 sin theta -2 cos theta.

Answer:

The equation in rectangular form is:

4.)Rewrite in polar form: x^2+y^2-6y-8=0

the  Answer is B. r^2=6r sin 0+8

5.)The graph of r=-9 cos theta has which of the following characteristics?

Answer:

"circle; diameter of 9; center at (-4.5,0)"

6.)Which conic section is represented by the polar equation r=1/4-6 cos theta?

Answer:

Option 2 - Hyperbola

7.)Identify the horizontal and vertical intercepts of the limaçon represented by the equation r=7+3 cos theta ?

Answer:

vertical intercepts: (7, pi/2) and (-7, pi/2)

horizontal intercepts: (10,0) and (-4,0)

8.) Classify the limaçon represented by the equation r=1/2-1/2 sin theta.

A. Cardioid

9.)Write the equation for the graph of the rose curve.

answer C: r=9 sin 4 theta

10.) Write the equation for the graph of the lemniscate.

answer D: r^2=-49 sin 2theta

(pls don't report for me not explain it took a lot of time typing this and im just trying to help people have less stress on their shoulders :p )

1 glass..........1/4 liter

n glass.......... 5 liters

n = 1 x 5 : 1/4

n = 5 x 4

so there are 20 glasses

Answer:

Substitute P=7500, r=0.053 and t=1 in equation (1). Therefore, the balance of the loan be after one year is $7897.5

Answer:

37 is the answer for the first one because 600-45=555/15=37 and 270-15=255/15=17 for the second one.

Using the Central Limit Theorem, it is found that the mean of the sampling distribution is of 78 and the standard deviation is of 2.84.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, for the population, we have that [tex]\mu = 78, \sigma = 11[/tex].

Then, considering samples of n = 15, we have that the standard deviation is given by:

[tex]s = \frac{11}{\sqrt{15}} = 2.84[/tex].

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

The valid conclusions for the manager based on the considered test is given by: Option

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

Forming hypotheses:

where [tex]\mu_0[/tex] is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

[tex]z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094[/tex]

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

https://brainly.com/question/21477856

Answer:

A

Step-by-step explanation:

[tex]\rightarrow[/tex]Radius(r) of sphere = 3m

[tex]\rightarrow[/tex] Volume of the sphere.

[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex]

[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex](putting the value of r(radius) from the above given and pie(π) = [tex]\sf{\frac{22}{7}}[/tex])

[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×3^3}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×27}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\frac{2,376}{21}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=113.14m^3}[/tex]

Therefore, the volume of the sphere [tex]\sf{=113.14m^3}[/tex], which can be rounded off to it's nearest tenth as [tex]\sf{113.1m^3}[/tex]

____________________________________

Hope it helps you:)

Answer:

C. 7/20

Step-by-step explanation:

There are 20 arrival times on the table.

7 of those twenty are before 8:20.

p(before 8:20) = 7/20

Answer: C. 7/20

Answer: 11/2

Reciprocal: 2/11

Step-by-step explanation: 11/2 is 5.5 (between 5 and 6) the reciprocal or 11/2 is 2/11

The correct transformation of P(x) to get I(x) is I(x) = 2P(x)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

From the graph of I(x) and P(x), we can see that:

I(x) = 2P(x)

The correct transformation of P(x) to get I(x) is I(x) = 2P(x)

Find out more on transformation at: https://brainly.com/question/1548871