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3 years ago

^ { (5x ^ { 3 } -7x ^ { 2 } +3x-4)-(8x ^ { 3 } +2x ^ { 2 } +3x-7) }

Mathematics

1 answer:

Tomtit [17]3 years ago

6 0

Answer:

$-3x^{3} -9x^2+3$

Step-by-step explanation:

Given

$(5x^{3} -7x^{2} +3x-4)-(8x ^ { 3 } +2x ^ { 2 } +3x-7) }$

Required

Simplify

$(5x^{3} -7x^{2} +3x-4)-(8x ^ { 3 } +2x ^ { 2 } +3x-7) }$

Open brackets

$5x^{3} -7x^{2} +3x-4-8x^3 -2x^2 -3x+7$

Collect Like Terms

$-8x^3+5x^{3} -7x^{2} -2x^2+3x -3x-4+7$

Simplify like terms

$-3x^{3} -9x^2+3$

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Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100

Taya2010 [7]

Answer:

IQ score of 102.55

Step-by-step explanation:

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, which is also the shaded area under the curve, 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:

$\mu = 100, \sigma = 15$

The shaded area under the curve is 0.5675.

This means that Z has a pvalue of 0.5675.

So, we have to find X when Z = 0.17.

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

$0.17 = \frac{X - 100}{15}$

$X - 100 = 15*0.17$

$X = 102.55$

IQ score of 102.55

8 0

3 years ago

Kevin reads 5 pages in 15 minutes at this rate how many pages will he read in 45 minutes

Aleksandr-060686 [28]

Answer:

15 pages

Step-by-step explanation:

45/15=3

3x5=15

4 0

3 years ago

On a test, shelly got approximately 93% of the items correct. she got 76 questions right. how many questions were on the test? a

svetlana [45]

You multiply 76 by 0.93. That is 70.68 which rounds to 71. To check, (71/76) = ~93.

8 0

3 years ago

Miguel draws a square on a coordinate plane. One vertex is located at (5,4). The length of each side is 3 units. Circle the lett

Ulleksa [173]

Answer:

A, B, and E.

Step-by-step explanation:

We know that one vertex is at (5, 4), and each side of our square is 3 units long.

Then the distance between the known vertex and another vertex is 3 units (if those vertexes are connected by a side of the square) or (√2)*3 units (if those vertexes are connected by the diagonal of the square).

Also remember that the distance between two points (a, b) and (b, c) is:

distance = √( (a - c)^2 + (b - d)^2)

So we need to find the distance between our point and all the ones given in the options:

A) the distance between (5, 4) and (5, 1) is:

distance = √( (5 - 5)^2 + (4 - 1)^2) = 3

Then point (5, 1) can be a vertex.

B) The distance between (5, 4) and (5, 7) is:

distance = √( (5 - 5)^2 + (4 - 7)^2) = 3

Then (5, 7) can be a vertex.

C) The distance between (5, 4) and (7, 8) is:

distance = √( (5 - 7)^2 + (4 - 8)^2) = √( 2^2 + 4^2) = √20

Point (7, 8) can not be a vertex.

D) The distance between (5, 4) and (2, 6) is:

distance = √( (5 - 2)^2 + (4 - 6)^2) = √( 3^2 + 2^2) = √13

Point (2, 6) can not be a vertex.

E) The distance between (5, 4) and (2, 1) is:

distance = √( (5 - 2)^2 + (4 - 1)^2) = √( 3^2 + 3^2) = √18 = √(2*9) = √2*√9 = √2*3

Then point (2, 1) can be a vertex.

8 0

3 years ago

What is the solution to the equation x - 3.9 = 12.4

yuradex [85]

Answer:

16.8

Step-by-step explanation:

equation: x - 3.9 = 12.9

add 3.9 to 12.9

answer is 16.8

6 0

3 years ago