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liraira [26]
2 years ago
6

ABCD is a parallelogram. Determine the measure of ∠B.

Mathematics
2 answers:
Dafna1 [17]2 years ago
7 0
Measure B is 90 because 17x+=180/2
and x=5
when you plug that into 17x+5 you get 90
Nesterboy [21]2 years ago
6 0

Answer:

Measure B is 90 because 17x+=180/2

and x=5

when you plug that into 17x+5 you get 90

Step-by-step explanation:

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Put this equation in standard form Y+5=-(x+3)?
lisabon 2012 [21]

Answer: y = x - 2

Step-by-step explanation:

Subtract 5 from both sides.

4 0
3 years ago
The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play
Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 75, \sigma = 4, n = 64, s = \frac{4}{\sqrt{64}} = 0.5

Find the probability that the average score of the 64 golfers exceeded 76.

This is 1 subtracted by the pvalue of Z when X = 64.

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{76 - 75}{0.5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

6 0
3 years ago
Find the output for each input of y = -2x.
Bezzdna [24]
Its the first one because -3(-2)=6, 1(-2)=-2, 2(-2)=4 are all correct 

3 0
3 years ago
Read 2 more answers
PLEASE HELP WITH QUESTIONS 4 AND 5
agasfer [191]

Answer:

4 - Complementary

5 - Supplementary

Step-by-step explanation:

i can't find the value of X

6 0
3 years ago
What is 0.00837 written in scientific notation?
Angelina_Jolie [31]

Answer:

8.37 x 10^-3

(Scientific Notation)

 

8.37 x 10^-3

(use the caret symbol [^] to type or write)

8.37E-3

(Scientific E-notation)

0.00837

(Real Number)

Step-by-step explanation:

How to convert numbers or decimals to scientific notation?

In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).

7 0
3 years ago
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