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ikadub [295]
3 years ago
7

If a ⊥ y and x ∥ y, then _____ x ⊥ a. x ∥ z. a ∥ b. a ⊥ z.

Mathematics
2 answers:
kykrilka [37]3 years ago
8 0

Answer:

A⊥X

Since

A is perpendicular to Y

A⊥YAnd, X is parallel to Y

X || Y

That implies that A must be also perpendicular to X

A⊥X

Which means that they have the same slope (same inclination)

Step-by-step explanation:

Studentka2010 [4]3 years ago
5 0

Answer:

lltsrsyd7rsts7ra

Step-by-step explanation:

hzt7 srd 7t

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the local farm sell a 4 pound basket of apples for 5.60 each apple weighs 4 ounces. what is the price per apples
valina [46]
Because there are 16 ounces in a pound, we can multiply 16 by 4 to get 64, there are 64 ounces of apples which is also the same as 4 pounds of apples. If 64 ounces of apples equals $5.60, and each apple is 4 ounces, we have to also divide 64 by 4 to find the number of apples. 64 divided by 4 is 16, so 16 apples for $5.60. To get the price PER apple, or for one apple, we have divide $5.60 by 16, which will give us $0.35, or $.35 per apple, which is actually a good price.
4 0
3 years ago
The slope of a line is -5 and its y-intercept is 8. Discuss how you will write the equation in
Irina-Kira [14]
Y=-5x+8 I guess this is the y-intercept way
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3 years ago
Read 2 more answers
In the university library elevator there is a sign indicating a 16-person limit as well as a weight limit of 2750 pounds. Suppos
Alona [7]

Answer:

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

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.

If n variables are added, the mean is n\mu and the standard deviation is s = \sqrt{n}\sigma

In this problem:

n = 16, \mu = 160*16 = 2560, s = \sqrt{16}*27 = 108

What is the probability that the random sample of 16 people in the elevator will exceed the weight limit?

This is 1 subtracted by the pvalue of Z when X = 2750. So

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

By the Central Limit Theorem

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

Z = \frac{2750 - 2560}{108}

Z = 1.76

Z = 1.76 has a pvalue of 0.961

1 - 0.961 = 0.039

0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

7 0
2 years ago
How do I simplify the expression 2-^1/3 times 2^7/3<br> A. 64<br> B. 1/4<br> C. 4<br> D. 8
mihalych1998 [28]

Answer:

C.4

Step-by-step explanation:

Since the values are of the same base....

we add the powers..because its multiplication...

;2^(-1/3 + 7/3)

;2^(6/3) = 2^2

;Ans = 2^2 = 4

8 0
2 years ago
A rectangular storage box is 12 inches wide, 15 inches long, and 9 inches high. How many square inches of colored paper are need
wolverine [178]
Answer is 846 square inches.
5 0
3 years ago
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