All categories

3 years ago

Two sides of a triangle have the following measures.Find the range of the

Mathematics

2 answers:

Sedaia [141]3 years ago

8 0

Answer:

Step-by-step explanation:

The range of values is found as

difference < x < sum, that is

12 - 8 < x < 12 + 8, thus

4 < x < 20 ← range of values for third side

jasenka [17]3 years ago

3 0

I believe it it B(4&ITxit 20)

You might be interested in

Find the measure of the missing angles in the kite

ser-zykov [4K]

Answer:

x = y = 104°

Step-by-step explanation:

The sum of the interior angles = 360°

The opposite angles x and y are congruent , that is y = x , then

92 + 60 + x + x = 360

152 + 2x = 360 ( subtract 152 from both sides )

2x = 208 ( divide both sides by 2 )

x = 104

Then

x = y = 104°

7 0

3 years ago

The attention span of children (ages 3 to 5) is claimed to be Normally distributed with a mean of 15 minutes and a standard devi

Agata [3.3K]

Answer:

If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 minutes

Sample size, n = 10

Alpha, α = 0.05

Population standard deviation, σ = 4 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 15\text{ minutes}\\H_A: \mu > 15\text{ minutes}$

Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Now, $z_{critical} \text{ at 0.05 level of significance for one tail} = 1.64$

Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.

Thus, we can write:

$z_{stat} = \displaystyle\frac{\bar{x} - 15}{\frac{4}{\sqrt{10}} } > 1.64\\\\\bar{x} - 15>1.64\times \frac{4}{\sqrt{10}}\\\bar{x} - 15>2.07\\\bar{x} > 15+2.07\\\bar{x} > 17.07$

Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.

6 0

4 years ago

Find the slope<br>.....

balandron [24]

The picture is blurry

4 0

3 years ago

What does x equal to x/7 - 4 = -5

beks73 [17]

Answer:

x = -7

Step-by-step explanation:

So we are asked to find what x is equal to in the equation:

$\frac{x}{7}-4=-5$

In other words, we are asked to solve for x.

$\frac{x}{7}-4=-5$

Add 4 to both sides of the equation.

$\frac{x}{7}=-1$

Multiply both sides by 7.

x = -7

So we have solve the equation for x and have found that x = -7.

I hope you find my answer and explanation to be helpful. Happy studying.

7 0

3 years ago

Read 2 more answers

The bearing of a staff room from the assembly ground is 195degrees, what is the bearing of the assembly ground from the staff ro

dlinn [17]

Answer:

15°

Step-by-step explanation:

the bearing of the assembly ground from the staffroom is

195-180=15°

6 0

3 years ago