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2 years ago

100 POINTS!!!

Mathematics

2 answers:

vladimir2022 [97]2 years ago

3 0

7.76 is your answer

a_sh-v [17]2 years ago

3 0

<h3>Answer: B. $7.76</h3>

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

Explanation:

Ignore the info about how much Margo spent.

Anthony spent $10.24 on lunch, before the tip. Then we add on the $2 tip to get a total of 12.24 dollars spent.

The amount of change is 20-12.24 = 7.76

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Here's how the cashier can mentally figure out how much change to give

Start with the number of cents from $12.24

The jump from 24 cents to 100 cents is 76 cents (24+76 = 100)

This gets us from 12.24 to 13.00

The jump from 13 to 20 is another 7 dollars.

So that's how we get 7 + 0.76 = 7.76 in change

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A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weig

jenyasd209 [6]

Answer:

$z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625$

The p value for this case would be given by:

$p_v =P(z$

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

Step-by-step explanation:

Information provided

$\bar X=19.87$ represent the sample mean

$\sigma=0.4$ represent the population deviation

$n=25$ sample size

$\mu_o =68$ represent the value that we want to test

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:

Null hypothesis: $\mu \geq 20$

Alternative hypothesis: $\mu < 20$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625$

The p value for this case would be given by:

$p_v =P(z$

7 0

3 years ago

The mean lifespan of a sylvania light bulb is 1600 hours with a standard deviation of 300 hours, an iqr of 450 hours, and a rang

IgorLugansk [536]

Given that t<span>he mean lifespan of a sylvania light bulb is 1600 hours with a standard deviation of 300 hours, an iqr of 450 hours, and a range of 690 hours. the lifespan distribution is relatively symmetric.

Since, the distribution is relatively symmetric, the measure of spread that is the best measurement is the standard deviation.</span>

6 0

3 years ago

A population of mice is increasing exponentially. On Monday there were 120 mice. One month later there were 132 mice. Write a fu

den301095 [7]

Answer:

$y =120*1.1^x$

$r = 10\%$ --- Percentage increase

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y = ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 =a * 1$

$120 =a$

Rewrite as:

$a = 120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute $a = 120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

Recall that:

$y = ab^x$

Hence, the function is:

$y =120*1.1^x$

To get the monthly percentage increase (r), we have:

$y = a(1 + r)^x$

Compare to: $y = ab^x$

So:

$1+r =b$

Make r the subject

$r = b-1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

8 0

2 years ago

Whats the value of x

Pani-rosa [81]

An outside angle is equal to the sum of the two opposite inside angles.

The two opposite inside angles from X are 63 and 46.

X = 63 + 46 = 109 degrees.

6 0

2 years ago

Find the exterior angle of angle c.

Bingel [31]

Answer:

Step-by-step explanation:

This triangle is a polygon. By definition, all the exterior angles of ANY polygon add up to equal 360 degrees. So we add up all the exterior angles and solve for x. That's the first step.

7x - 2 + 9x - 31 + 4x + 33 = 360

Combining like terms gives us

20x + 0 = 360 or simply

20x = 360 so

x = 18

In order to find the value of the angle exterior to angle C, we sub 18 in for x:

7(18) - 2 = 124

4 0

3 years ago