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rusak2 [61]
3 years ago
8

When you multiply a function by -1, what is the effect on its graph?

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Answer:

A. the graph flip over the x - axis...


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Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un
spayn [35]

Answer:

60.26% probability that less than twenty students are absent

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 = 120, p = 0.15.

So

\mu = E(X) = np = 120*0.15 = 18

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.15*0.85} = 3.91

If a random sample of 120 names is called on a Monday, what is the probability that less than twenty students are absent?

This is the pvalue of Z when X = 20-1 = 19. So

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

Z = \frac{19 - 18}{3.91}

Z = 0.26

Z = 0.26 has a pvalue of 0.6026.

60.26% probability that less than twenty students are absent

3 0
3 years ago
Someone help meeee pleasee​
Sliva [168]

95° because the angle is mirrored with the other side

6 0
3 years ago
Last year, a factory produced 126 widgets per day. After retooling, production increased to 189 widgets per day. What was the pe
lys-0071 [83]
<h3>Answer:   50%</h3>

Work Shown:

change = new - old = 189-126 = 63

percent increase = (change/old)*100%

percent increase = (63/126)*100%

percent increase = (0.50)*100%

percent increase = 50%

50% of 126 = 0.50*126 = 63

126+63 = 189

The answer is confirmed.

5 0
3 years ago
What is 1,200/2,000 in a fraction
andreev551 [17]
1200/200 in a simplified form is
3/5
7 0
3 years ago
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution,
Gnom [1K]

Answer:

x1=-4/5, x2=18/5 and x3=7/5

Step-by-step explanation:

\left[\begin{array}{ccc|c}1&0&-3&-5\\3&1&2&4\\2&2&1&7\end{array}\right]

you can do linear combination between the rows:

2nd row=R2-3R1 and 3th row=R3-2R1

\left[\begin{array}{ccc|c}1&0&-3&-5\\0&1&11&19\\0&2&7&17\end{array}\right]

3th row=(3R2-R3)/15

\left[\begin{array}{ccc|c}1&0&-3&-5\\0&1&11&19\\0&0&1&\frac{7}{5} \end{array}\right]

1st row=R1+3R3 and R2-11R3

\left[\begin{array}{ccc|c}1&0&0&-4/5 \\0&1&0&18/5 \\0&0&1&7/5\end{array}\right]

x1=-4/5, x2=18/5 and x3=7/5

6 0
3 years ago
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