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3 years ago

The answer and the work that was needed to solve it .

Mathematics

2 answers:

cupoosta [38]3 years ago

7 0

First, you add up all the prices. 1.79 + 2.99 + 4.37 + 0.33 = 9.48. Then, you do 10.00 - 9.48 = 0.52 and that's your answer.

ANTONII [103]3 years ago

5 0

Well you would spend $9.48 meaning that you would have $0.52 cents change left.

Working Out -
$1.79 + $2.99 + $4.37 + $0.33 = $9.48. $10 - $9.48 = $0.52

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uppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.2 and a standard deviation of 1.49. Us

liubo4ka [24]

Answer:

99.85% of American women have shoe sizes that are less than 12.67

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

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.

In this problem, we have that:

Mean = 8.2

Standard deviation = 1.49

Using the empirical rule, what percentage of American women have shoe sizes that are less than 12.67

12.67 = 8.2 + 3*1.49

12.67 is 3 standard deviations above the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above. Of those 50% above, 99.7% are between the mean and 12.67. So

0.5 + 0.997*0.5 = 0.9985

99.85% of American women have shoe sizes that are less than 12.67

6 0

3 years ago

Plz i need this done quick thx

eduard

Answer:

106 degrees

Step-by-step explanation:

Sides AB and CD are equal in length and sides AD and BC are parallel to each other. This tells us that angles B and C are equivalent. Knowing this, we can set up the following equation to solve for x:

$4x+42=74+2x$

Subtract both sides by 42

$4x+42-42=74+2x-42\\4x=32+2x$

Subtract both sides by 2x

$4x-2x=32+2x-2x\\2x=32$

Divide both sides by 2

$\frac{2x}{2} =\frac{32}{2} \\x=16$

Now, to find angle ABC, or angle B, we can plug x back into its expression:

$4x+42\\= 4(16)+42\\=64+42\\= 106$

Therefore, the measure of angle ABC is 106 degrees.

I hope this helps!

5 0

3 years ago

Find the area of the figure

sweet [91]

Answer:

400 square yards

Step-by-step explanation:

square part = l x w = 20 x 15 = 300

triangle part = 1/2 b x h = 1/2 (20) (10) = 100

300 + 100 = 400

3 0

2 years ago

Zach has two savings accounts with a total of $9,000

Crazy boy [7]

4500 dollars! $9000 x 2 = 4500

7 0

3 years ago

To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

QveST [7]

Answer:

We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 31.7 milligrams

Sample mean, $\bar{x}$ = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 2.8 milligrams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}$

We use One-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429$

Now, $t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0

3 years ago