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nalin [4]
3 years ago
13

If−3x − 7 = 23, then 6x =_____?

Mathematics
1 answer:
Greeley [361]3 years ago
4 0

Answer:

22

Step-by-step explanation:

We will first find the value of x .

Then we will multiply 6 to the value of x

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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
1 and ⅝ as a percent​
bixtya [17]
162.5 % convert the fraction to a decimal, then multiply by 100.
4 0
3 years ago
Which twos ratios represent quantities that are proportional?
Inessa05 [86]

Answer: it’s 10/15 and 14/21 ;)

Step-by-step explanation:

8 0
3 years ago
The hypotenuse of a right triangle is 55 inches long. One leg is 2 inch(es) longer than the other. Find the
Allisa [31]

Answer:

Step-by-step explanation:

Angles: 45°: 45°: 90°

Ratio of sides: 1:1:√2

Given c= 55

a =c/√2

a=55/√2 = 38.9

b=a+2 = 38.9+2 =41.9

8 0
3 years ago
Which system of equations can be used to find the roots of the equation 4x^2=x^3+2x
Viktor [21]

The given equation is 4x^2=x^3+2x.

On the left side it has 4x² and on the right side the expression is x³+2x.

So, if we have any system of equations in which we have these two expression which will be equal to any other variable then we can use that system of equations to find the roots.

Now notice that in option D it's given,

y=4x² and y=x³+2x.

So, if we will equate this equations then we will get the same above equation which will be use to find the roots.

So, D is the correct choice.

4 0
3 years ago
Read 2 more answers
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