All categories

3 years ago

:)pleas helppppp:)))))

Mathematics

1 answer:

krek1111 [17]3 years ago

8 0

Answer:

B) 1 < x < 13

Step-by-step explanation:

use triangle inequality theorem which states that the sum of any two sides must be greater than the third side

let x = third side

6 + 7 > x; x < 13

6 + x > 7; x > 1

x + 7 > 6; x > -1

there will always be one inequality which produces a negative value which you can exclude from your answer because a length cannot be negative

You might be interested in

Which equation matches the solutions

Lelu [443]

Answer: The answer is #3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A team averaging 110 points is likely to do very well during the regular season. The coach of your team has hypothesized that yo

aev [14]

Answer:

1. M=108

2. μ=110

3. In the explanation.

4. Test statistic t = -1.05

5. P-value = 0.1597

Step-by-step explanation:

The question is incomplete: to solve this problem, we need the sample information: size, mean and standard deviation.

We will assume a sample size of 10 matches, a sample mean of 108 points and a sample standard deviation of 6 points.

1. The mean points is the sample points and has a value of 108 points.

2. The null hypothesis is H0: μ=110, meaning that the mean score is not significantly less from 110 points.

3. This is a hypothesis test for the population mean.

The claim is that the mean score is significantly less than 110.

Then, the null and alternative hypothesis are:

$H_0: \mu=110\\\\H_a:\mu< 110$

The significance level is 0.05.

The sample has a size n=10.

The sample mean is M=108.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{10}}=1.9$

4. Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{108-110}{1.9}=\dfrac{-2}{1.9}=-1.05$

The degrees of freedom for this sample size are:

$df=n-1=10-1=9$

5. This test is a left-tailed test, with 9 degrees of freedom and t=-1.05, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t$

As the P-value (0.1597) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean score is significantly less than 110.

7 0

3 years ago

What goes into 70 and 95?

Kruka [31]

What goes into 70 and 95 is 5

5 0

3 years ago

Read 2 more answers

Which angle pairs are supplementary? Check all that apply.

Greeley [361]

Answer:

4 and 3, 4 and 5, 3 and 6

Step-by-step explanation:

Those angles make 180 degrees.

3 0

4 years ago

Read 2 more answers

Question:70% of x is 63. 1.Write an equation that shows the relationship of 70%, x, and 63. 2. Use your equation to find x. Show

a_sh-v [17]

"x" represents an unknown number, we know that 70% of x equals 63.

To calculate the percentage of a number you have to multiply the said number by the percentage, in this case, 70%, and divide the result by 100:

So the 70% of x can be calculated as:

$\frac{70\cdot x}{100}=63$

You can simplify this expression by solving the division

$\begin{gathered} \frac{70}{100}x=63 \\ \frac{7}{10}x=63 \\ 0.7x=63 \end{gathered}$

Then the expression that shows you the relationship is

$0.7x=63$

Using this expression you can determine the value of x, to do so you have to divide both sides of the equal sign by 0.7

$\begin{gathered} \frac{0.7x}{0.7}=\frac{63}{0.7} \\ x=90 \end{gathered}$

The value of x is 90

3 0

1 year ago