Identify the type of triangle that can be drawn using the measures of sides 13.5 cm, 5 cm, and 9.5 cm.

Mathematics

1 answer:

KIM [24]2 years ago

6 0

Answer: Scalene triangle

Step-by-step explanation:

A Scalene triangle has all of its three lengths to be different. The traingle above can not be an equilateral triangle too because all the sides aren't equal.

Also, it's not an isosceles triangle since two of its sides are not thesame. It's not a right angle triangle as the square of the hypothenuse isn't equal to the addition of the square of the other two sides.

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If BC = CD and AB = 23, what is BD?

True [87]

BD = 46

Explanation:
BC = CD and AC is used for both triangles so AD MUST = AB.
If AB = 23, then AD = 23.
BD = AB + AB
BD = 23 + 23
BD = 46

7 0

2 years ago

5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.

Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that $\mu = 1511, \sigma = 312$