Please help, I have 20 min to do this.

In the diagram below, BD <-> is parallel to XY<-> . What is the value of y?

Veronika [31]

Your answer would be A.83

8 0

4 years ago

Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of

DochEvi [55]

Answer: The correct option is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: Given that eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag.

The sample space, S will be

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag.

Let, 'B' represents the event in which the number 6 is drawn from the bag.

So, B = {6}.

Since 'A' is the complement of 'B', so the set 'A' will contain those element of the sample space 'S' that are not in the set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

⇒ A = {1, 2, 3, 4, 5, 7, 8}.

Thus, (C) is the correct option.

7 0

3 years ago

Read 2 more answers

The point (5, −2) is on the terminal ray of angle θ, which is in standard position. Without evaluating, explain how you would fi

Anni [7]

1. Check the picture attached.

let P, M, N be the points :P(5, -2), M(5, 0), N(0, -2)

ABP is the angle with measure ∅, where BA is the initial ray and BP the terminal ray.

2. m(PNM)=∅ as can be easily checked

In triangle PNM, NP=5, PM=2 and NM= $\sqrt{ 5^{2} + 2^{2} }= \sqrt{25+4}= \sqrt{29}$ units

3. let opp=opposite side, adj=adjecent side, hyp=hypothenuse

sin ∅ = opp/hyp= $\frac{2}{\sqrt{29}}$

cos ∅ = adj/hyp= $\frac{5}{\sqrt{29}}$

tan ∅ = opp/adj=2/5

cot ∅ = adj/opp=5/2

sec ∅ = hyp/adj= $\frac{\sqrt{29}}{5}$

csc ∅ = hyp/opp= $\frac{\sqrt{29}}{2}$

4 0

4 years ago

Read 2 more answers

A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8 feet longer than it is wide. Find the leng

Mekhanik [1.2K]

This is a bit of algebra.. you do not know either side so the width you will label x and the length you will label x +8. we know that if you add all 4 sides, you will have 256 feet. x + x + (x+8) + (x+8)=256 4x+16=256, Subtract 16 from both sides and you have 4x=240. divide by 4 on both sides and you get. x=60.. That makes the width = 60ft and the length = 68ft

3 0

3 years ago

A person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to hig

olya-2409 [2.1K]

Answer:

The minimum score a person must have to qualify for the society is 162.05

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:

Test scores are normally distributed with a mean of 140 and a standard deviation of 15. This means that $\mu = 140, \sigma = 15$ .