It is claimed that 95% of teenagers who have a cell phone never leave home without it. To investigate this claim, a random sample of 300 teenagers who have a cell phone was selected. It was discovered that 273 of the teenagers in the sample never leave home without their cell phone. One question of interest is whether the data provide convincing evidence that the true proportion of teenagers who never leave home without a cell phone is less than 95%. What are the values of the test statistic and P-value for this test?

using cos to get x

cos -1 of 13/20

= 49.45

then y = 40.54° using sin y= opp /hyp =13\15

then the sin-1 of 13/20 =40.54 •

9514 1404 393

Answer:

  y = -8x -15

Step-by-step explanation:

It can be useful to start with the point-slope form when you are given a point and a slope.

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

For the given line, this equation is ...

  y +7 = -8(x +1)

  y = -8x -8 -7 . . . . eliminate parentheses, subtract 7

  y = -8x -15 . . . . . slope-intercept form

Answer:

The 95% t-confidence interval for the difference in mean is approximately (-2.61, 1.16), therefore, there is not enough statistical evidence to show that there is a change in waiting time, therefore;

The change in the call waiting time is not statistically significant

Step-by-step explanation:

The given call waiting times are;

24.16, 20.17, 14.60, 19.79, 20.02, 14.60, 21.84, 21.45, 16.23, 19.60, 17.64, 16.53, 17.93, 22.81, 18.05, 16.36, 15.16, 19.24, 18.84, 20.77

19.81, 18.39, 24.34, 22.63, 20.20, 23.35, 16.21, 21.73, 17.18, 18.98, 19.35, 18.41, 20.57, 13.00, 17.25, 21.32, 23.29, 22.09, 12.88, 19.27

From the data we have;

The mean waiting time before the downsize, [tex]\overline x_1[/tex] = 18.7895

The mean waiting time before the downsize, s₁ = 2.705152

The sample size for the before the downsize, n₁ = 20

The mean waiting time after the downsize, [tex]\overline x_2[/tex] = 19.5125

The mean waiting time after the downsize, s₂ = 3.155945

The sample size for the after the downsize, n₂ = 20

The degrees of freedom, df = n₁ + n₂ - 2 = 20 + 20  - 2 = 38

df = 38

At 95% significance level, using a graphing calculator, we have; [tex]t_{\alpha /2}[/tex] = ±2.026192

The t-confidence interval is given as follows;

[tex]\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]

Therefore;

[tex]\left (18.7895- 19.5152 \right )\pm 2.026192 \times \sqrt{\dfrac{2.705152^{2}}{20}+\dfrac{3.155945^2}{20}}[/tex]

(18.7895 - 19.5125) - 2.026192*(2.705152²/20 + 3.155945²/20)^(0.5)

The 95% CI = -2.6063 < μ₂ - μ₁ < 1.16025996668

By approximation, we have;

The 95% CI = -2.61 < μ₂ - μ₁ < 1.16

Given that the 95% confidence interval ranges from a positive to a negative value, we are 95% sure that the confidence interval includes '0', therefore, there is sufficient evidence that there is no difference between the two means, and the change in call waiting time is not statistically significant.

Answer: 2, 1.5 , -0.75

(b) [tex]4x-3y-10=0[/tex]

Step-by-step explanation:

Given

line is [tex]3x+4y-6=0[/tex]

Converting it into intercept form

[tex]\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1[/tex]

So, the x-intercept is [tex]2[/tex] and y-intercept is [tex]1.5[/tex]

The slope is given by

[tex]-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75[/tex]

(b) the line perpendicular to the above line and passing through [tex](1,-2)[/tex]

The slope of the required line

[tex]m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}[/tex]

Equation of the line is given by

[tex]\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0[/tex]

Answer: son, estoy, estas, es, son, estamos, son, estan

Step-by-step explanation:

If it is talking about someone else then try to use, son. Like the first one. For words for yo use words like estoy. I don´t really know how to explain them but they make sense.

Answer:

[tex]VW = 50[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find VW

To find VW, we make use of the following equivalent ratios.

[tex]YX : XW = ZX : XV[/tex]

Where:

[tex]YX = ZX - ZY = 42 - 28 = 14[/tex]

[tex]XV = XW + VW = 25 + VW[/tex]

So, we have:

[tex]14 : 25 = 42 : 25 + VW[/tex]

Express as fraction

[tex]\frac{14 }{ 25 }= \frac{42 }{ 25 + VW}[/tex]

Divide both sides by 14

[tex]\frac{1}{ 25 }= \frac{3}{ 25 + VW}[/tex]

Cross multiply

[tex](25 + VW) * 1 = 3 * 25[/tex]

[tex]25 + VW = 75[/tex]

Solve for VW

[tex]VW = 75 -25[/tex]

[tex]VW = 50[/tex]

Answer:

B. -(3/-2)

Step-by-step explanation:

If you would multiply out the negative you would get -3/2

Answer: y = x^2 + 6x+ 9 = 0. (X+3)^2= 0 when x=3. This has one root.

X^2-2x -24 = 0 a= 1 b=-1 and c= -24 x = {-(-1) +/- sqrt((-1)^2 -4 x 1 x (-24)}/2

X = [1 +/- sqrt(97)]/2

Step-by-step explanation:

Answer: look i learned a lesson to never cheat and dont do the same mistake you too plz here is a thing that can help you answer your question

Step-by-step explanation:

here is the the link that can help you do the questions

am not the link people

https://teachers.henrico.k12.va.us/math/HCPSAlgebra1/Documents/9-4/SolveSysByElimMult.ppt

Answer:

Step-by-step explanation:

So first we distribute -12 to 6 making that -72 then we distribute the -12 to the 4 making that -48.

So we have -72+-48 = -72 - 48 = -120

It is important to know that the answer is not -120 (10)(-12) = -120

because that is not the distributive property.

Hope this helps

:)

Answer:

2x²+7x-4

Step-by-step explanation:

2x²+8x-x-4

2x²+7x-4

Answer:

2x² + 7x - 4

Step-by-step explanation:

(2x + 1)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(x + 4) - 1 (x + 4) ← distribute parenthesis

2x² + 8x - x - 4 ← collect like terms

= 2x² + 7x - 4

Answer:

3, 12, 48 ... =

3(4)^0, 3(4)^1, 3(4)^2 ... =

3(1), 3(4), 3(16) ....

3, 12, 48 ...

it's geometric with common ratio of 4.  each term is 4 times the prior termStep-by-step explanation:

Answer:

Step-by-step explanation:

The zeroes of a function is where its graph intercepts the x axis:

in this case it happens in these points:

(-6;0) , (-4;0) , (0;0) , (2;0) , (4;0)

Answer:

k=-0.25

Step-by-step explanation:

In order:

72 x 8 = 576

47 x 7 = 329

(7 x 3) x 7

21 x 7 = 147

Answer:

where is the figure? to calculate the surface area

Answer:

each tangent is 20.785 ft long

Step-by-step explanation:

since the tangent forms a right angle with the radius, and a line from P to O bisects the 60° angle:

tan 30° = 12/x

0.5774 = 12/x

0.5774x = 12

x = 20.785 ft

Answer:

10c - 5

Step-by-step explanation:

" the product" tells you you're multiplying 10 and c, and "5 less" means subtracting 5 from the other part of the expression.

Answer:

I only know the first question, If you leave that money for 1 year it would equal $480 basically,  $300 x 1.6 = $480.

Step-by-step explanation:

The required amount in your account after 2 years will be $337.08.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,
If you deposit $300 in an account with a 6% interest rate, the amount in your account after 1 year can be calculated as follows:

Find the interest earned after one year:

Interest earned = (6/100) x 300 = $18

Add the interest earned to the original amount:

Total amount after 1 year = $300 + $18 = $318

Therefore, the amount in your account after 1 year will be $318.

If you leave this money in the account for another year, the amount in your account after 2 years can be calculated as follows:

Find the interest earned after two years:

Interest earned in year 1 = $18

Interest earned in year 2 = (6/100) x $318 = $19.08

Add the interest earned to the original amount and the interest earned in year 1:

Total amount after 2 years = $300 + $18 + $19.08 = $337.08

Therefore, the amount in your account after 2 years will be $337.08.

Learn more about compound interest here: https://brainly.com/question/14295570
#SPJ7

Answer:

hi

Step-by-step explanation:

i think QR=24

QT=12

ST=37

hope it helps

Answer:

Yes, they are proportional

Step-by-step explanation:

First, simplify each fraction

30/80 can be simplified by dividing each number by 10

30/80

= 3/8

24/64 can be simplified by dividing each number by 8

24/64

= 3/8

So, each fraction will simplify to 3/8, meaning that they are proportional.

Answer:

28% of 250 is 70

Step-by-step explanation:

If you turn 28% into a decimal it will turn into 0.28 so then multiply that by 250 and you'll get 70

The answer is 70.......

Answer:

The answer is "Parameter: 8 ounces and  Statistics: 7.6 ounces"

Step-by-step

Amount of restaurant hamburger packers = 200

Mean weight of its patties = 8 ounces

Specification Patty Deviation=0.54 ounces

Those who went to the supermarket and bought five hamburgers picked randomly.

The important weight of hamburgers  = 7.6 ounces 

For this case, we need to classify the sample population and test statistics.

The group comprises all elements that may probably be predefined, while a small number of findings from this wider group are taken from either the sample. The restaurants achieved a list of 200 hamburgers. Consequently, the population is made up of 200 patties. From 200 hamburgers accessible, I visit the shop or pick 5 hamburgers. So, five hamburgers arbitrarily selected are samples.

parameters:

The parameter is known for just about any value or metric representing or reflecting the entire nation. They know from the information that the average weight of 200 burger patties is eight pounds. Because as mean(center) of a whole population is 8 ounces, this is a parameter.

Statistics:

The statistic is any quality or measure defining or representing its specimen. We purchased 5 randomly selected hamburgers, which meant 7.6 ounces for mean weight. 7.6 is a statistic, thus.

Answer:

it rose three eighths of a pound

Answer:

c

Step-by-step explanation:

it grows 2% compunding so its size muntiplies by 1.02 each year

Answer:

Soln

At first find the total area of figure then decrease the area with shaded region.

You can get answers.

Answer:

The first blank is 9  for 9 cucumbers

The second blank is 8 dollars

Step-by-step explanation:

We can use ratios to solve

3 cucumbers           x cucumbers

--------------------- = ----------------------

2 dollars                   6 dollars

Using cross products

3*6 = 2x

18 = 2x

Divide by 2

18/2 = 2x/2

9 =x

We need 9 cucumbers

For the third row

3 cucumbers           12 cucumbers

--------------------- = ----------------------

2 dollars                   y dollars

Using cross products

3*y = 2*12

3y = 24

Divide by 3

3y/3 = 24/3

y = 8

We need 8 dollars

Answer:

I don't know

Step-by-step explanation:

Dapat kasi mag-aaral ka mabuti para ikaw ay magiging matalino

Answer:The Cost of one rose bush is $11 and the cost of one shrub is $5

Step-by-step explanation: Well it took me 40 mins to get the answer and yes i know it shouldn't take that long but for a freshmanbut wow that was hard  , well 11 x 8 = 88 and 5 x 8 = 40 add that up 128 and for the 2nd question 11x 11= 121 then 5x 12= 60 and when you add it up you got 181 so what would the main numbers be that you used for both problems? it would be 11 for one  rose  and 5  for one shrubs. thanks for wasting my time on a hard question that took me 40 mins to answer

0.7 = 7/10 = 14/20

The missing numbers are 10 and 14

Answer: 7/10 14/20

Step-by-step explanation: Convert to a mixed number by placing the numbers to the right of the decimal over

10. Reduce the fraction

Answer:

x^4

Step-by-step explanation:

any variable when multiplied by the same variable will result in the exponent to increase.