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2 years ago

Find the inequality by the graph

Mathematics

1 answer:

lesya692 [45]2 years ago

7 0

Answer:

y > 1/3 x -3

Step-by-step explanation:

slope = 1/3

y intercept = -3

equation: y > 1/3 x -3

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A graduate student majoring in linguistics is interested in studying the number of students in her college who are bilingual. Of

Eddi Din [679]

Answer:

48.41% probability that 17 or fewer of them are bilingual.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 50, p = \frac{466}{1320} = 0.3530$

$\mu = E(X) = np = 50*0.3530 = 17.65$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.3530*0.6470} = 3.38$

Probability that 17 or fewer of them are bilingual.

Using continuity correction, this is $P(X \leq 17 + 0.5) = P(X \leq 17.5)$ , which is the pvalue of Z when X = 17.5. So

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

$Z = \frac{17.5 - 17.65}{3.38}$

$Z = -0.04$

$Z = -0.04$ has a pvalue of 0.4841

48.41% probability that 17 or fewer of them are bilingual.

8 0

3 years ago

What is the domain of this relation?<br><br> {(5,6), (5,3), (5,1), (5,0), (5,-6), (5,-10)}

mr Goodwill [35]

Answer:

Step-by-step explanation:

All of the x values are 5, so the domain is 5

7 0

2 years ago

cody is reading a 520-page book this summer. he read 1\5 of the pages on sunday. he read 1\2 of the pages on tuesday. he read th

kirill115 [55]

Assume that on Tuesday he read 1/2 pages out of 520 pages not what's left of the book minus 1/5 of the pages that he read on Sunday.
Cody read 260 pages on Saturday.

4 0

3 years ago

SOEINE HELP ME ASAPPP PLZ

blsea [12.9K]

Answer:

i attatched a picture of how it should look

Step-by-step explanation:

8 0

3 years ago

Consider an m-by-n chessboard with m and n both odd. To fix the notation, suppose that the square in the upper left-hand corner

beks73 [17]

There are two cases to consider.

A) The removed square is in an odd-numbered column (and row). In this case, the board is divided by that column and row into parts with an even number of columns, which can always be tiled by dominos, and the column the square is in, which has an even number of remaining squares that can also be tiled by dominos.

B) The removed square is in an even-numbered column (and row). In this case, the top row to the left of that column (including that column) can be tiled by dominos, as can the bottom row to the right of that column (including that column). The remaining untiled sections of the board have even numbers of rows, so can be tiled by dominos.

_____

Perhaps the shorter answer is that in an odd-sized board, the corner squares are the ones that there is one of in excess. Cutting out one that is of that color leaves an even number of squares, and equal numbers of each color. Such a board seems like it <em>ought</em> to be able to be tiled by dominos, but the above shows there is actually an algorithm for doing so.

7 0

3 years ago