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3 years ago

Jane made a poster that had a length: 1 2/3 of feet and a width: 5/6 of feet. What is the perimeter of her poster?

Mathematics

1 answer:

slamgirl [31]3 years ago

5 0

Answer:

P = 6 2/3 ft

Step-by-step explanation:

The formula for the perimeter of a rectangle of length L and width W is

P = 2(L + W).

Here the perimeter is P = 2(1 2/3 + 5/6) = 2(5/2 + 5/6)

= 2(15/6 + 5/6) = 2(20/6)

= 40/6 = 20/3

P = 6 2/3 ft

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How do we do improper faction

viktelen [127]

1. Divide the numerator by the denominator.
2. Write down the whole number answer.
3. Then write down any remainder above the denominator.

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3 years ago

In the 1996 presidential election, Bill Clinton and Bob Dole together received 538 electoral votes. Clinton received 220 more vo

Korvikt [17]

Answer:

Step-by-step explanation:

Bill + 220

Total is 538 so subtract 220 which gives you 318.

318/2 = 159

159+220 for Bill = 379

Bob has 159

Add 159 + 220 for Bill and 159 for bob = 538

So Bill has 379

and Bob has 159

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3 years ago

okay so the problem is "A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is

Nesterboy [21]

Answer:

A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.

Step-by-step explanation:

equation of circle is

(X-center_X)^2 + (y-center_Y)^2 = r^2

==> (x+3)^2 + (y-2)^2 = r^2

Now it passes 1,5 so

4^2+3^2 = 5^2

==> r = 5

when x = -7

y = -1 or 5

5 0

3 years ago

What is the value of x? Enter your answer in the box. x =

Zina [86]

It’s 25 because (24x24)+(7x7) squared is 25

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3 years ago

1. A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed below are the amounts o

Sauron [17]

Answer:

The confidence interval estimate of the population mean is :

(0.61 ppm, 0.90 ppm)

The correct option is (A).

Step-by-step explanation:

The amounts of mercury (ppm) found in tuna sushi sampled at different stores in a major city are:

S = {0.58, 0.82, 0.10, 0.98, 1.27, 0.56, 0.96}

A $(100-\alpha )\%$ confidence interval for the population mean (μ) is an interval estimate of the true value of the mean. This interval has a $(100-\alpha )\%$ probability of consisting the true value of mean.

⇒ Since the population standard deviation is not provided we will use the t-distribution to construct the 99% confidence interval for mean.

⇒ The formula for confidence interval for the population mean is:

$\bar x\pm t_{\alpha/2,(n-1)}\times \frac{s}{\sqrt{n}}$

Here,

$\bar x$ = sample mean

s = sample standard deviation

n = sample size

$t_{\alpha/2,(n-1)}$ = critical value.

The degrees of freedom for the critical value is, (n - 1) = 7 - 1 = 6.

The significance level is: $\alpha =1-Confidence\ level=1-0.99=0.01$

The critical value is:

$t_{\alpha/2,(n-1)}=t_{0.01/2, 7}=t_{0.05,7}=3.143$

**Use the t-table for the critical value.

Compute the sample mean and sample standard deviation as follows:

$\bar x=\frac{1}{7}(0.58+ 0.82+ 0.10+ 0.98+ 1.27+ 0.56+ 0.96) =0.753$

$\int\limits^a_b {x} \, dx s=\sqrt{\frac{\sum (x{i}-\bar x)^{2}}{n-1} } =\sqrt{\frac{1}{6} \times 0.859743} =0.379$

The 99% confidence interval for μ is:

$x^{2} CI=0.753\pm 3.143\times\frac{0.379}{\sqrt{7}} \\=0.753\pm0.143\\=(0.61, 0.896)\\\approx(0.61, 0.90)$

The confidence interval estimate of the population mean is:

(0.61 ppm, 0.90 ppm)

The upper and lower limit of the 99% confidence interval indicates that the true mean value is less than 1 ppm. This implies that there is not too much mercury in tuna sushi

Because it is possible that the mean is not greater than 1 ppm. Also, at least one of the sample values is less than 1 ppm, so at least some of the fish are safe.

Thus, the correct option is (A).

6 0

3 years ago