Kiki divides 14 yard of tape into 4 equal pieces.<br><br> What is the length of each piece of tape?

A straight slide in a playground design makes an isosceles triangle with the

julia-pushkina [17]

Answer:

Option D.

Step-by-step explanation:

First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
Next, we know that the formula for calculating the area of a right angled triangle is given by:

A = 1/2 (base × perpendicular height)

The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
Therefore, the formula will be:

A = 1/2 (x.x)

=1/2 (x²)

32 = 1/2 (x²)

Multiplying both sides by 2 gives:

32×2 = x²

64 = x²

8 = x

To find the third side, we use the Pythagoras theorem:

C² = A² + B²

= 8² + 8²

= 128

C = √128

= 8√2

However, the answer will not be exact, so we multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

= √256

This corresponds to option D.

3 0

3 years ago

An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state ins

BlackZzzverrR [31]

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:

$H_0: p \geq 0.85$

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:

$H_0: p < 0.85$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

p is the proportion tested at the null hypothesis.

n is the sample size.

For this problem, the parameters are:

$p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812$

Hence the test statistic is:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

$z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}$

z = -1.68

<h3>What is the p-value and the conclusion</h3>

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.

Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

4 0

1 year ago

3 miles per minute is equivalent to feet per minute.

Sidana [21]

Answer: 15840 feet per minute.

Step-by-step explanation:

Convert 3 miles to feet and let the minute stay the same.

3 miles is the same is 15840 feet.

So it means the 3 miles is equivalent or equal to the same as 15840 feet per minute.

8 0

3 years ago

Graph the line using a point and a slope. Write the equation of each line.

SpyIntel [72]

Answer:

y=1.2x-3

Step-by-step explanation:

I had this as an rsm problem a few weeks ago and forgot how to solve it lol hope this helps

6 0

3 years ago

I BET YOU CANT SOLVE THIS...

e-lub [12.9K]

The answer is 61 7/20

8 0

3 years ago

Kiki divides 14 yard of tape into 4 equal pieces. What is the length of each piece of tape?