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2 years ago

2

Mathematics

1 answer:

rusak2 [61]2 years ago

7 0

Answer:

(1.13, 7.74) and (-4.13, 18.26)

Step-by-step explanation:

This can be solved in two ways: mathematically and graphically.

Graphing

Plot both lines and find where they intersect. See the attachment.

The intersection points are (1.13, 7.74) and (-4.13, 18.26)

Mathematical

y + 2x = 10

y = 10 - 2x

y = 3x² + 7x - 4

10 - 2x = 3x² + 7x - 4

3x² + 9x - 14 = 0

Solve this using the quadratic equation:

x = 1.13 and -4.13

Use these two values of x to find y:

y = 10 - 2x

y = 10 - 2(1.13)

y = 7.74

y = 10 -2x

y = 10 -2(-4.13)

y = 18.26

The two points are:

(1.13, 7.74) and (-4.13, 18.26)

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Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points betwee

prisoha [69]

Answer:

86.64% of the data points will fall in that range

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:

z = -1.5 has a pvalue of 0.0668

z = 1.5 has a pvalue of 0.9332

0.9332 - 0.0668 = 0.8664

86.64% of the data points will fall in that range

8 0

3 years ago

In 2009, a diabetic express company charged $38.85 for a vial of type A insulin and $30.34 for a vial of type B insulin. If a

Hoochie [10]

Answer:

The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

Step-by-step explanation:

Let a = number of type A vials.

Let b = number of type B vials.

38.85a + 30.34b = 1695.71

a + b = 50

38.85a + 30.34b = 1695.71

(+) -38.85a - 38.85b = -1942.50

---------------------------------------------------

-8.51b = -246.79

b = 29

a + b = 50

a + 29 = 50

a = 21

Answer: The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.

6 0

3 years ago

For f (x) - 4x +1 and g(x) = ? -5, find (fºg)(4).

Alona [7]

$(f\circ g)(x)=f(g(x))=4(x^2-5)+1=4x^2-19$

$(f\circ g)(4)=4\cdot4^2-19=64-19=\boxed{45}$

Hope this helps.

5 0

3 years ago

What number must be added to both sides of the equation to complete the square?

adelina 88 [10]

(x-8)²= x²-16x+64
x²-16x+8=0
Therefore 56 must be added.

Good luck

7 0

3 years ago

PLEASE HELP YOU’LL GET 15 POINTS 358.41x10^5 in standard form

Aleks04 [339]

Answer:

35,841,000

Step-by-step explanation:

358.41x10^5

Move the decimal 5 places to the right

35,841,000

5 0

3 years ago