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n200080 [17]
4 years ago
8

Evaluate 3a2 + 4b2 for a = 2 and b = 3

Mathematics
1 answer:
Crank4 years ago
4 0
<span>3a^2 + 4b^2 for a = 2 and b = 3

</span><span>3(2)^2 + 4(3)^2 = 12 + 36 = 48</span>
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Find a quadratic function that includes the set of values below.
CaHeK987 [17]

9514 1404 393

Answer:

  y = -2x^2 +7x +4

Step-by-step explanation:

A graphing calculator or spreadsheet can tell you the quadratic regression formula that will fit these points:

  y = -2x^2 +7x +4

__

If you'd like to do this "by hand", you can substitute the given points into the equation y = ax^2 +bx +c to get three linear equations in a, b, c.

  4 = 0 +0 +c

  10 = a(2^2) +b(2) +c

  0 = a(4^2) +b(4) +c

Using the value of c from the first equation, these reduce to ...

  6 = 4a +2b

  -4 = 16a +4b

Dividing the second of these equations by 2, and subtracting the first, we have ...

  (16a +4b)/2 -(4a +2b) = (-4)/2 -(6)

  4a = -8

  a = -2

From the first of the reduced equations, we find ...

  b = (6 -4a)/2 = 3 -2a = 3 -2(-2) = 7

So, a=-2, b=7, c=4, and the equation is ...

  y = -2x^2 +7x +4

5 0
3 years ago
The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation
liraira [26]

Answer:

d. 76.98%

Step-by-step explanation:

Problems of normally distributed samples are 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:

\mu = 40000, \sigma = 5000

What percentage of MBA's will have starting salaries of $34,000 to $46,000?

This is the pvalue of Z when X = 46000 subtracted by the pvalue of Z when X = 34000. So

X = 46000

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

Z = \frac{46000 - 40000}{5000}

Z = 1.2

Z = 1.2 has a pvalue of 0.8849

X = 34000

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

Z = \frac{34000 - 40000}{5000}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

0.8849 - 0.1151 = 0.7698

So the correct answer is:

d. 76.98%

7 0
3 years ago
An amount of $35,000 is borrowed for 9 years at 3.5% interest, compounded annually. If the loan is paid in full at the end of th
Luden [163]
<span>In 9 years, you will have $47,701.41 paid.</span>
8 0
3 years ago
Find the amount of simple interest earned for depositing the given principle in an account.
jok3333 [9.3K]

Answer:

kkrg=u/d

-678/09

=12 ans

6 0
2 years ago
A student is raising money for cancer research. A local business agrees to donate an additional 25% of what the student raises,
bixtya [17]

Answer: 585 maybe??

Step-by-step explanation:

450/100 = 4.5

4,5 = 1 percent of the total amount.

4.5 x 25 = 112.5

112 = 25 percent of 450

4.5 x 5 = 22.5

22.5 = 5 percent of 450

Hope u understand and that this helps:)

4 0
3 years ago
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