A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 39 subscribers to Plan A is $55,575 with a standard deviation of $8,970. For a sample of 29 subscribers to Plan B, the mean income is $59,475 with a standard deviation of $6,942.
At the .025 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? Hint: For the calculations, assume the Plan A as the first sample.
The test statistic is ______. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
The decision is _______
the null hypothesis that the mean of Plan B is larger.
The p-value is ______
(Round your answer to 2 decimal places.)

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes 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].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Answer: 58,080 yards in one hour.

Step-by-step explanation:

1. 165 miles ÷ 5 = 33 miles per hour

2. 1 mile = 1760 yards

3. 1760 x 33 = 58,080 yards.

4. 58,080 yards per hour.

Therefore the car travels 58,080 yards in 1 hour.

Answer:

Commutative Property of Multiplication

I hope this helps you :D

Commutative

The commutative property tells us that two addition and multiplication sentences are equal no matter the order.

For example:

3+4=4+3

6 x 5= 5 x 6

Hope this helps. Please give brainiest.

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆[tex]y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } [/tex]

☆Using the information we gathered and was given, we just to put them together.

☆[tex]y = 4x - 1[/tex]

Answer:

y=4x-1

Step-by-step explanation:

Answer:

6,500

Step-by-step explanation:

5000x.03=150

150=3%

150x10=1500

1,500+5,000= 6,500

Answer:

I think Your best answer would be 117 yards.

Step-by-step explanation:

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units

Answer:

His school is 1.5 miles away :)

Step-by-step explanation:

6/4 = 1.5 miles

1.5 miles means his house is 1.5 miles from his school

Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.

4.5 + 1.5 = 6 miles

The distance between Salvador's house and his school is 1.5 miles

Let :

Therefore;

Then ;

Since, house is in between job and school :

The distance from house to school = d ; hence, distance between his house and school is 1.5 miles.

Learn more : https://brainly.com/question/8018593?referrer=searchResults

Answer:

Step-by-step explanation:

20 + g = 25

-20        -20

        g = 5

Answer:

x = (-150)/49

Step-by-step explanation:

Solve for x:

49 x + 150 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 150 from both sides:

49 x + (150 - 150) = -150

Hint: | Look for the difference of two identical terms.

150 - 150 = 0:

49 x = -150

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 49 x = -150 by 49:

(49 x)/49 = (-150)/49

Hint: | Any nonzero number divided by itself is one.

49/49 = 1:

Answer: x = (-150)/49

Answer:

$5

Step-by-step explanation:

25-80%=5

Answer:

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Step-by-step explanation:

We have to find the formula for f(x)

Let x be the number

According to question

Now,

[tex]\sqrt{x}+x+3[/tex]

Now,

After squaring  we get

[tex](\sqrt{x}+x+3})^2[/tex]

Add x+2 to above result then, we get

[tex](\sqrt{x}+x+3})^2+2+x[/tex]

Then,

[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Therefore, the formula for f(x) is given by

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Answer:

The amount of sale is approximately 5714.

Step-by-step explanation:

Let x be the sales made that will result to the same salary and let y be the same weekly salary.

We can represent both salaries as follows:

300 + 0.04x = y

100 + 0.075x = y

Subtracting the second equation from the first, we have:

200 – 0.035x = 0

0.035x= 200

x = 200/0.035

x ≈ 5714.

Therefore, the amount of sale is approximately 5714.

Answer:

numbers 1,4,6,7 are all equations

Step-by-step explanation:

just look for the equal sign if there's no equal sign then its an expression not an equation

Answer:

All of the equations are the ones with the equal signs (=)

I hope this helps!

Answer:  90 words per minute

====================================================

Work Shown:

270 words : 3 minutes

270/3 words : 3/3 minutes ..... divide both parts by 3

90 words : 1 minute

Brayden can type 90 words per minute (wpm).

Answer:

6

Step-by-step explanation:

10, 10, 10, 10, 10, 10. Those are 6 tens

Hi there!

[tex]\large\boxed{x = 16}[/tex]

x / 2 - 5 = 3

Begin by adding 5 to both sides to isolate for x:

x / 2 - 5 + 5 = 3 + 5

x / 2 = 8

Multiply both sides by 2 to have "x" alone on the left-hand side:

(x / 2) × 2 = 8 × 2

x = 16

Answer:

because if x is 16

16/2 = 8 and so on 8 - 5= 3 so that is the answer

Step-by-step explanation:

Answer:

Smaller

Step-by-step explanation:

Example: say the original size is 100

increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120

reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is  96.

100>96

Answer:

15 parents

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combine like terms.Like terms have same variable with same exponent

4x³ + 6x - 7 + 3x³ - 5x² - 5x + 9 = 4x³ + 3x³ - 5x² + 6x - 5x  - 7 + 9

                                                  = 7x³ -5x² + x + 2

Answer:

2 2/5

Step-by-step explanation:

3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5

Answer:

3/10 of the pizza is given to each person

Step-by-step explanation:

total number of people= 10

number of pizzas=3

as a fraction, this would be 3/10

you can also use this as 30 out of 100 if that's easier to understand.

Hope this helps ༼ つ ◕_◕ ༽つ

Answer:

y=7/5x-3 is the slope intercept form

Answer:

Kiara is correct

.............

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the figure

Slope between A and B = rise/ run 3/3 = 1

and, slope between B and C = 5/5 = 1

So, the slope between A and B is same as the slope between B and C.

Hence, Kiara has correct statement.

Learn more about slope here:

https://brainly.com/question/3605446

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Answer:

[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces\: \: of \: \: candy[/tex]

Step-by-step explanation:

[tex] \frac{x}{128} = \frac{25}{100} [/tex]

[tex](x)100 = (25)128[/tex]

[tex](x)100 = 3200[/tex]

[tex] \frac{(x)100}{100} = \frac{3200}{100} [/tex]

[tex]x = \frac{3200}{100} [/tex]

[tex]x = 32[/tex]

[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces \: \: of \: \: candy[/tex]

Answer:

y=x+2.

Step-by-step explanation:

1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:

[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]

2. if to evaluate the equation, then

x+3=y+1; ⇔ y=x+2 (slope-interseption form).