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3 years ago

Which system has infinitely many solutions?

Mathematics

1 answer:

GREYUIT [131]3 years ago

8 0

The answer is "b"
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The Comfy blanket is regularly priced at $39.99 online on amazon. The website is offering a 10% discount as part of their holida

Tanzania [10]

Answer:

Step-by-step explanation:

Step one:

we are told that the price online is $39.99

and that the discount is 10%

and also tax is 6%

Step two:

discount

let us solve for the deduction first

=10/100*39.99

=$3.99

Tax

=6/100*39.99

=$2.4

The final cost= cost online-10% discount+6% tax

Final cost= 39.99-3.99+2.4

Final cost = $38.4

8 0

3 years ago

We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 21

katen-ka-za [31]

Answer:

$F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996$

Step-by-step explanation:

Data given and notation

$n_A = 21$ represent the sampe size for A

$n_B =16$ represent the sample size for B

$s_A = 28.284$ represent the sample deviation for A

$s_B = 20$ represent the sample deviation for B

$\alpha$ represent the significance level provided

F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:

$F=\frac{s^2_1}{s^2_2}$

Solution to the problem

System of hypothesis

We want to test if we have the same variation, so the system of hypothesis are:

H0: $\sigma^2_A = \sigma^2_B$

H1: $\sigma^2_A \neq \sigma^2_B$

Calculate the statistic

Now we can calculate the statistic like this:

$F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996$

8 0

4 years ago

It was reported that in a survey of 4794 American youngsters aged 6 to 19, 15% were seriously overweight (a body mass index of a

iris [78.8K]

Answer:

The 99% confidence level for the proportion of all American youngsters who are seriously overweight is (0.137, 0.163)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 4794, \pi = 0.15$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.15 - 2.575\sqrt{\frac{0.15*0.85}{4794}} = 0.137$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.15 + 2.575\sqrt{\frac{0.15*0.85}{4794}} = 0.163$

The 99% confidence level for the proportion of all American youngsters who are seriously overweight is (0.137, 0.163)

3 0

3 years ago

What would you have to do to change 10 cubic ft into cubic inches

sweet-ann [11.9K]

The correct answer is: 17280 <span>cubic inches
</span>
Explanation:
As we are going to convert bigger unit (feet) into small unit (inches), we will need to multiple 10 with $12^3$ as there are 12 inches in 1 foot and the unit is in cubic form, therefore, we would need to take the cube of 12. Mathematically we can write it as:

$12^3 * 10 = 17280$ <span>cubic inches

Hence the correct answer is </span>17280 cubic inches.

5 0

4 years ago

Can someone help me fast pls

kykrilka [37]

Your answer would be C.) 18oz

5 0

3 years ago