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Pavel [41]
1 year ago
5

Erica went shopping for new clothes for school. She bought a pair of jeans for $35.99 and several shirts for $11.33 each. If x

Mathematics
1 answer:
GuDViN [60]1 year ago
7 0

Answer:

Simplify

x

=

35.99

dollar

11.33

dollar

.

x

=

3.1765225

Step-by-step explanation:

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Murljashka [212]

Answer:

see below

Step-by-step explanation:

65 - 32 = 13

13 divide by 65 = 0.20

0.20 x 100% = 20%

so the percentage drop is 20%

therefore, Marcus is correct.

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4 years ago
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Arisa [49]

Answer:

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Step-by-step explanation:

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Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t
rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

Mean = \frac{208}{10} = 20.8

Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39

Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

Mean = \frac{124}{10} = 12.4

Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13

Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

6 0
3 years ago
How to use an array to find how many rows of 8 are in 40
Lady_Fox [76]
X x x x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x x x
x x x x x x x x

This array shows that there are 5 rows of 8 in 40.
8 0
3 years ago
For a large supermarket chain in a particularâ state, aâ women's group claimed that female employees were passed over for manage
PolarNik [594]

Answer:

1) As the P-value (0.097) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the women's claim that female employees were passed over for management training in favor of their male colleagues.

2) The 95% confidence interval for the population proportion is (0.173, 0.427).

The populations proportion (π=0.4) is included in this confidence interval, so the claim has no enough evidence to be supported.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that female employees were passed over for management training in favor of their male colleagues.

We use the women's part for sample and population proportions.

Then, the null and alternative hypothesis are:

H_0: \pi=0.4\\\\H_a:\pi

The significance level is 0.05.

The sample has a size n=50 persons.

The sample proportion is p=0.3.

p=X/n=15/50=0.3

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.4*0.6}{50}}\\\\\\ \sigma_p=\sqrt{0.0048}=0.069

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.3-0.4+0.5/50}{0.069}=\dfrac{-0.09}{0.069}=-1.299

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z

As the P-value (0.097) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that female employees were passed over for management training in favor of their male colleagues.

b) We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.3.

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.3*0.7}{50}}\\\\\\ \sigma_p=\sqrt{0.0042}=0.0648

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.0648=0.127

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.3-0.127=0.173\\\\UL=p+z \cdot \sigma_p = 0.3+0.127=0.427

The 95% confidence interval for the population proportion is (0.173, 0.427).

The populations proportion (π=0.4) is included in this confidence interval, so the claim has no enough evidence to be supported.

5 0
3 years ago
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