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4 years ago

11

find the perimeter of a trapezoid with sides that measure 16.1 inches, 6.32 inches, 8.0 inches, and 13 inches.

1 answer:

seraphim [82]4 years ago

5 0

Perimeter = 16.1 + 6.32 + 8.0 + 13 = 43.42 inches

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Find y<br> y= |x−5| + |x+5| (if x>5)

velikii [3]

Answer:

$y=2x$ if $x>5$ .

Step-by-step explanation:

$|x-5|=x-5 \text{ if } x-5 \ge 0$ . This means when $x \ge 5$ .

$|x-5|=-(x-5) \text{ if } x-5 \le 0$ . This means when $x \le 5$ .

It doesn't matter where the 5 is included since either $x-5$ or $-(x-5)$ would product 0 at $x=5$ .

$|x+5|=x+5 \text{ if } x+5 \ge 0$ . This means when $x \ge -5$ .

$|x+5|=-(x+5) \text{ if } x+5 \le 0$ . This means when $x \le -5$ .

The same statement here about $x=-5$ as I about $x=5$ with the earlier expression.

So anyways we have $x>5$ .

This means $y=|x-5|+|x+5|$ can be rewritten as

$y=(x-5)+(x+5)=(x+x)+(-5+5)=2x+0=2x$ .

$y=2x$

6 0

3 years ago

To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certai

Nataliya [291]

Answer:

a

$\frac{\alpha }{2} = 2.5 \%$

b

$N = 25$

Step-by-step explanation:

From the question we are told that

The number of bootstrap samples is n = 1000

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally the percentage of values that must be chopped off from each tail for a 95% confidence interval is mathematically evaluated as

$\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%$

=> $\frac{\alpha }{2} = 2.5 \%$

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

$N = 1000 * \frac{\alpha }{2}$

=> $N = 1000 * 0.025$

=> $N = 25$

4 0

3 years ago

I need help with number 11 please

ryzh [129]

Answer:

3

Step-by-step explanation:

because if 3 kids are in the front and kids only sad behind those three kids

three kids sat behind them

5 0

4 years ago

The quantities xxx and yyy are proportional. xxx yyy 111111 1\dfrac{2}{9}1 9 2 1, start fraction, 2, divided by, 9, end fracti

jolli1 [7]

Question:

The quantities x and y are proportional.

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

Find the constant of proportionality (r)

Answer:

$r = 1\frac{10}{11}$

Step-by-step explanation:

Given

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

Required

Determine the constant of proportionality (r)

Constant of proportionality (r) is calculated as

$y = rx$

When

$y = 2\frac{1}{3}$ $x = 1\frac{2}{9}$

Substitute these values in the given formula

$2\frac{1}{3} = r * 1\frac{2}{9}$

Convert both fractions to improper fractions

$\frac{7}{3} = r * \frac{11}{9}$

Multiply both sides by $\frac{9}{11}$

$\frac{7}{3} * \frac{9}{11}= r * \frac{11}{9} * \frac{9}{11}$

$\frac{7}{3} * \frac{9}{11}= r$

Reorder

$r = \frac{7}{3} * \frac{9}{11}$

$r = \frac{7 * 9}{3 * 11}$

Divide the numerator and denominator by 3

$r = \frac{7 * 3}{11}$

$r = \frac{21}{11}$

Convert to mixed fraction

$r = 1\frac{10}{11}$

<em>Hence, the constant of proportionality is </em> $1\frac{10}{11}$ <em></em>

4 0

3 years ago

How do you solve this?

liberstina [14]

Answer:

The answer is

<h2> ${13}^{3}$ </h2>

Step-by-step explanation:

<h3> $( {13})^{2}( {13})^{ - 4} ( {13})^{5}$ </h3>

To solve the expression , use the rules of indices

Since the bases are the same and are multiplying we add the exponents

That's

<h3> ${a}^{x} \times {a}^{y} \times {a}^{z} = {a}^{x + y + z}$ </h3>

So we have

<h3> $( {13})^{2}( {13})^{ - 4} ( {13})^{5} = {13}^{2 - 4 + 5} \\ = {13}^{ - 2 + 5}$ </h3>

We have the final answer as

<h3> ${13}^{3}$ </h3>

Hope this helps you

3 0

4 years ago