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3 years ago

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

1 answer:

4 0

Multiply the first equation by -2 gives:_
-2y = -8 + 2x

2y = 8 - 2x

adding these 2 equations:-

0 = 0

This shows that the 2 equations are equal so there are infinite solutions

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Consider the probability that greater than 94 out of 153 people will not get the flu this winter. Assume the probability that a

Hatshy [7]

Answer:

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

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:

$p = 0.65, n = 153$ . So

$\mu = E(X) = 153*0.65 = 99.45$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.65*0.35} = 5.9$

Consider the probability that greater than 94 out of 153 people will not get the flu this winter

This probability is 1 subtracted by the pvalue of Z when X = 94. So

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

$Z = \frac{94 - 99.45}{5.9}$

$Z = -0.92$

$Z = -0.92$ has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

7 0

3 years ago

There are 438 students at a middle school. If 38% of the students participate in after school sports what would the number of st

umka21 [38]

Answer:166

Step-by-step explanation:438x.38=166

438 being the total amount of students

.38 being the 38% involved (moved percentage two to the left to make it a decimal)

6 0

3 years ago

Absolute value /-3/-/-2/=

Anni [7]

Answer:

I think it is 1

Step-by-step explanation:

8 0

3 years ago

A jug contains some orange juice. After pouring 240 milliliters of the orange juice into a cup, there are 875 milliliters of ora

zubka84 [21]

Answer:

1,115 mL

Step-by-step explanation:

The original amount of OJ is what we're trying to find, so that will be our variable, x. Now, keep in mind the order of events to write the correct equation. We started with the x amount of OJ, then 240 mL was taken away, to leave us with 875 mL. So, x - 240 = 875. Then we solve this by adding 240 to both sides to get the x alone. This gives us x=1,115 mL!

4 0

3 years ago

In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the s

kaheart [24]

Answer:

positive slope

(0,3)

slope = 2

Step-by-step explanation:

Slope of the given line is positive

If the line is sloping upward from left to right, so the slope is positive (+).

or if the angle made by the line to the x axis is < 90 it's slope is positive.

y-intercept of the line is (0,3)
The y intercept is the point where the line crosses the y axis. At this point x = 0.
slope of the line is 2

slope = (y2 - y1) / (x2 - x1)

lines passing through points (1,5) (0,3)

slope = (3 - 5) / (0 - 1)

= -2 / -1 = 2

7 0

3 years ago

Read 2 more answers