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3 years ago

How do you determine if the line segments are congruent

Mathematics

2 answers:

Jet001 [13]3 years ago

6 0

You can know if they are congruent by the length of both lines!

Gemiola [76]3 years ago

4 0

You must calculate the length of the segments.

Suppose segments AB and CD
Being A (m, n), B (p, q) C(r,s) and D(t,u)

They are congruent if:

 $\boxed{(p-m)^2+(q-n)^2=(t-r)^2+(u-s)^2}$

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The weight distribution of parcels sent in a certain manner is normal with meanvalue 12 pounds and standard deviation 3.5 pounds

tino4ka555 [31]

Answer:

The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 pounds

Standard Deviation, σ = 3.5 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.99

$P( X < x) = P( z < \displaystyle\frac{x - 12}{3.5})=0.99$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 12}{3.5} = 2.326\\\\x = 20.141\approx 20.14$

Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

7 0

2 years ago

0.5 is what type of number?

zepelin [54]

0.5 is a rational number.

4 0

2 years ago

Read 2 more answers

What is the Compound Inequality that is true for the missing side length? 3cm, 4cm, Xcm

Brrunno [24]

Answer:

$x< 3+4\: and\\\left | 3-4 \right |$

Step-by-step explanation:

1. Well, when it comes to triangles. Mainly Pythagorean Triple, right triangles whose sides are 3,4,5 or 5,11,12

2. Keeping in mind this a Pythagorean Triple, then x=5

3. Then we can write it as Compound Inequality by combining the Statements for an Inequality of Triangle:

We can write it as

$5$

Or we can do:

$4$

and:

$3$

4. Writing in terms of x:

$x$

3 0

3 years ago

PLZZZ HELP DUE IN 30 MINUTESSS!!!!!

s344n2d4d5 [400]

Look to be honest this is what I got hopefully it is right my bad if they aren’t.

4 0

2 years ago

A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life

alisha [4.7K]

Answer:

The null hypothesis is $H_0: \mu \leq 10$

The alternative hypothesis is $H_1: \mu > 10$

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

$H_0: \mu \leq 10$

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

$H_1: \mu > 10$

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

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

10 is tested at the null hypothesis:

This means that $\mu = 10$

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that $n = 45, X = 10.5, s = 1.8$

Then

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}$

$t = 1.86$

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0

2 years ago