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2 years ago

8

What is the sum of 5a2 - 4a + 3 and -7a2 +4a -6

2 answers:

Pavel [41]2 years ago

5 0

4a-3 it’s the correct answer

zimovet [89]2 years ago

4 0

-4a-3 i think that’s it

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What is the equation of a line that passes through points (2, 1)<br> and (3, 2)?

leva [86]

Good evening ,

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Answer:

A. y=x-1

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Step-by-step explanation:

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3 0

3 years ago

The length of a city’s bus routes are normally distributed with a mean of 14.5 mi and a standard deviation of 3.2 mi.

jeka57 [31]

Thank you for posting your question here at brainly. Please see below answer:

a) What percentage of city bus routes are less than 15 mi?
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c) What percentage of city bus routes are less than 10 mi?
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3 0

3 years ago

Baby's crib would be about how long? 1 m 2 m 10 m 1 km question #8truefalse score: the length of a small object, such as a penci

Dafna1 [17]

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7 0

2 years ago

Read 2 more answers

To study the output of a machine that fills boxes with cereal, a quality control engineer weighed 150 boxes of Brand X cereal. T

scoundrel [369]

Answer:

$\sigma = 0.07770$

Step-by-step explanation:

Given

The above table

Required

The standard deviation

First, calculate the class mid-point. This is the average of the class interval.

The mid-point x is:

$x_1 = \frac{1}{2}(15.3 + 15.6) =\frac{1}{2} * 30.9 = 15.45$

$x_2 = \frac{1}{2}(15.6 + 15.9) =\frac{1}{2} * 31.5 = 15.75$

$x_3 = \frac{1}{2}(15.9 + 16.2) =\frac{1}{2} * 32.1 = 16.05$

$x_4 = \frac{1}{2}(16.2 + 16.5) =\frac{1}{2} * 32.7 = 16.35$

$x_5 = \frac{1}{2}(16.5 + 16.8) =\frac{1}{2} * 33.3 = 16.65$

So, we have:

$\begin{array}{cccccc}x & {15.45} & {15.75} & {16.05} & {16.35} & {16.65} \ \\ f & {14} & {25} & {84} & {18} & {9} \ \end{array}$

Calculate mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{15.45 * 14 + 15.75 * 25 + 16.05 * 84 + 16.35 * 18 + 16.65 * 9}{14 + 25 + 84 + 18 + 9}$

$\bar x = \frac{2402.4}{150}$

$\bar x = 16.016$

The standard deviation is:

$\sigma = \sqrt{\frac{\sum(x_i - \bar x)^2}{\sum f}}$

$\sigma = \sqrt{\frac{(15.45 - 16.016)^2+ (15.75 - 16.016)^2+ (16.05 - 16.016)^2+ (16.35 - 16.016)^2+ (16.65 - 16.016)^2}{14 + 25 + 84 + 18 + 9}}$

$\sigma = \sqrt{\frac{0.90578}{150}}$

$\sigma = \sqrt{0.00603853333}$

$\sigma = 0.07770$

4 0

2 years ago

M(-1, 13) is the midpoint of segment RS. The coordinates of S are (4, 12). What are the coordinates of R? *

Cerrena [4.2K]

Answer:

R = (-6, 14)

Step-by-step explanation:

<h3>Given </h3>

Segment RS and midpoint M(-1, 13)
S = (4, 12)
R = ?

<h3>Solution</h3>

<u>Midpoint formula</u>

x = (x1 + x2)/2 and y = (y1 + y2)/2

<u>Coordinates of point R</u>

-1 = (4 + x)/2 ⇒ 4 + x = -2 ⇒ x = -6
13 = (12 + y)/2 ⇒ 12 + y = 26 ⇒ y = 14
R = (-6, 14)

8 0

3 years ago