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3 years ago

Please help! Thanks.

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

6 0

Answer:

because it has the same angle

Alenkinab [10]3 years ago

3 0

Step-by-step explanation:

You need to find one of the following proves:

SSS (side, side, side)
SAS (side, angle, side)
ASA (angle, side, angle)

1) The firs one is mentioned - ∡MRQ = ∡NQR

2) QR is common for both triangles

3) PQ = PR -> that means triangle is equilateral and angles ∡PQR = ∡QRP

Now you now 2 angles and 1 side are the same.

Using ASA (angle, side, angle) that's prove both triangles are congruent.

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Answer:

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Step-by-step explanation:

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3 years ago

The probability is 51% that the sample mean will be between what two values, symmetrically distributed around the population

Alisiya [41]

Answer:

The lower bound is, $-z=-0.69$ and the upper bound is $z=0.69$ .

Step-by-step explanation:

Let the random variable X follows a normal distribution with mean μ and standard deviation σ.

The the random variable Z, defined as $Z=\frac{X-\mu}{\sigma}$ is standardized random variable also known as a standard normal random variable. The random variable $Z\sim N(0, 1)$ .

The standard normal random variable has a symmetric distribution.

It is provided that $P(-z\leq Z\leq z)=0.51$ .

Determine the upper and lower bound as follows:

$P(-z\leq Z\leq z)=0.51\\P(Z\leq z)-P(Z\leq -z)=0.51\\P(Z\leq z)-[1-P(Z\leq z)]=0.51\\2P(Z\leq z)-1=0.51\\2P(Z\leq z)=1.51\\P(Z\leq z)=0.755$

Use a standard normal table to determine the value of z.

The value of z such that P (Z ≤ z) = 0.755 is 0.69.

The lower bound is, $-z=-0.69$ and the upper bound is $z=0.69$ .

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