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3 years ago

0.05 is 1/10 the value of

Mathematics

2 answers:

tia_tia [17]3 years ago

7 0

Answer:

0.5

Step-by-step explanation:

Let x be our required number.

We are asked to find 0.05 is 1/10 of what number.

1/10 of x is equal to 0.05. We can represent this information in an equation as:

$\frac{1}{10}\cdot x=0.05$

$10*\frac{1}{10}\cdot x=10*0.05$

$x=0.5$

Therefore, 0.05 is 1/10 of 0.5.

posledela3 years ago

6 0

Let x = the number

.05 = .1x

5/100 = (1/10)x Multiply both sides by 10.

5/10 = x

1/2 = x

Hope this helps!

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3 years ago

A study is performed in San Antonio to determine whether the average weekly grocery bill per five-person family in the town is s

bogdanovich [222]

Answer:

No, the sample evidence is not statistically significant (P-value = 0.125).

To reject the null hypothesis, the P-value has to be smaller than the significance level, so the significance level to reject the null hypothesis has to be 0.125 or higher.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

Then, the null and alternative hypothesis are:

$H_0: \mu=131\\\\H_a:\mu\neq 131$

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=133.474.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=11.193.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{11.193}{\sqrt{50}}=1.583$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{133.474-131}{1.583}=\dfrac{2.474}{1.583}=1.563$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

This test is a two-tailed test, with 49 degrees of freedom and t=1.563, so the P-value for this test is calculated as (using a t-table):

$P-value=2\cdot P(t>1.563)=0.125$

As the P-value (0.125) is bigger 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 the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

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3 years ago

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GREYUIT [131]

Answer:

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3 years ago

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777dan777 [17]

Answer:

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Step-by-step explanation:

We know that coach Rivas can spend up to $750 on 30 swimsuits.

This means that the maximum cost that the coach can afford to pay is $750, then if the cost for the 30 swimsuits is C, we have the inequality:

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Then we have the inequality:

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To find the possible values of p, we just need to isolate p in one side of the inequality.

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Then the inequality that represents the possible values of p is:

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