Myles is tracking the growth of his palm tree. It was 62 inches when he bought it, and it has grown 6 inches per year.

Is 120% less than, more than or equal to 1

kati45 [8]

120% is the same as 120/100

Divide 120 with 100

120/100 = 1.2

1.2 > 1 ∴ 120% is 'more than' 1

hope this helps

6 0

2 years ago

Show the work please.

sladkih [1.3K]

In any given right triangle, the Pythagorean Theorem can be used to show that it is a right triangle.

The Pythagorean Theorem is a^2+b^2=c^2. In a right triangle, a and b would be the shorter legs of the triangle, while c would be the hypotenuse.

So for this problem, you would plug in the numbers in the order that they are listed to see if it is a right triangle.

F would be: 2^2+4^2=7^2. In this case, the sides are not equal.

G would be: 6^2+8^2=10^2. In this case, 100=100. So this is a right triangle.

H would be: 4^2+9^2=12^2. The sides are not equal.

J would be: 5^2+10^2=15^2. The sides are not equal.

Your answer would be G, since the sides are equal. Hope this helps! :)

3 0

2 years ago

Alejandra Plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 48 inches. The width

tankabanditka [31]

Answer:

1152 inches of fringe

Step-by-step explanation:

l multiplies with width to get the area so

w is one half of 48 which 24

so 24x48 which is 1152 inches of fringe

5 0

2 years ago

A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than

vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

$H_0: p \leq 0.05$

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

$H_a: p > 0.05$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that $\mu = 0.05, \sigma = \sqrt{0.05*0.95}$

A random sample of 300 items taken from the production line contained 27 defective items.

This means that $n = 300, X = \frac{27}{300} = 0.09$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}$

$z = 3.18$

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0

2 years ago

If A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}, find A Intersects with B.

kirill115 [55]

Answer is <span>A.
{2, 4}
................................................</span>

8 0

2 years ago