Find the value of x help 10 points

Mathematics

1 answer:

MrRissso [65]3 years ago

7 0

<u>Answer:</u>

x = 5.67

<u>Step-by-step explanation:</u>

We are given a right angled triangle with a length of the hypotenuse 8 with the remaining two sides (base and perpendicular) that are equal to each other.

Assuming the two equal legs of this right angled triangle to be x, we can use the Pythagoras Theorem to find the value of x.

$(x)^2+(x)^2=(8)^2$

$2x^2=64$

Taking square root at both the sides to get:

$\sqrt{2x^2} =\sqrt{64}$

$1.41x=8\\\\x=5.67$

Therefore, x = 5.67.

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The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation

Paraphin [41]

Answer:

0.13% of students have scored less than 45 points

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 60, \sigma = 5$