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I am Lyosha [343]

3 years ago

11

A dean must distribute salary raises to her faculty for next year. She has decided that the mean raise is to be $2,000, the stan

dard deviation of raises is to be $400, and the distribution is to be normal.

1 answer:

Bad White [126]3 years ago

8 0

Multiply & subtract then you will find your answer

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

6 0

3 years ago

I cant remember how to do this

Scrat [10]

Answer:

z = 80°

Step-by-step explanation:

ABCD ~ FECG

∠F ≅ ∠A = z

∠F = 360-100-60-120=80

z = 80°

3 0

3 years ago

Consider this three digit sequence 943. Is the first digit the largest or the second digit the smallest, and, is the third digit

maw [93]

Well, 9 is the largest, but 4 is the smallest and 3 is the second odd number. So it would go yes, no, no or if it's just one question, it would be no.

3 0

3 years ago

In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as

baherus [9]

Answer:

Probability that the cost will be less than $500 is 0.95994 .

Step-by-step explanation:

We are given that Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $348 with a standard deviation of $87.

Let X = cost of a hospital emergency room visit for this medical service

So, X ~ N( $\mu=348, \sigma^{2} =87^{2}$ )

The standard normal z score distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

(a) Probability that the cost will be less than $500 = P(X < $500)

P(X < 500) = P( $\frac{X-\mu}{\sigma}$ < $\frac{500-348}{87}$ ) = P(Z < 1.75) = 0.95994 {from z table}

Therefore, the probability that the cost will be less than $500 is 0.95994 .

3 0

3 years ago

Solve the equation 121x2+64=0

olganol [36]

Answer:

x = ± 8i/11

Step-by-step explanation:

121x2+64=0

121x^2 = -64

x^2 = -64/121

x = +/- √(-64/121)

x = +/- 8i/11

4 0

3 years ago