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3 years ago

If y = x + 5 and y = 11, then x = what?

Mathematics

2 answers:

Anestetic [448]3 years ago

5 0

Answer:

Step-by-step explanation:

Solnce55 [7]3 years ago

4 0

Answer:

x=6

Step-by-step explanation:

y(11)= x + 5

-5 -5

6= x or x = 6

Hope this helps!!

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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

If 6x-4 is 11 less than 25,what is the value of 9x

sashaice [31]

Answer:

Step-by-step explanation:

If 6x-4 is 11 less than 25, what is the value of 9x can be rewritten as:

6x-4=25-11, what is the value of 9x?

Let's solve for x first by using the given information: 6x-4=25-11

1. 6x-4=25-11

2. 6x-4=14

3. (isolate x by adding 4 on both sides) 6x=18

4. x=3

The question asks for the value of 9x. Since we know x=3...

9x=9 times 3=27

9x=27

6 0

3 years ago

A pizza has a diameter of 14 inches each piece has a central angle of 30° what is the distance around the outside of the crust t

jonny [76]

Answer:

The distance is 2.33 π

Step-by-step explanation:

First we have to calculate the perimeter of the circle with the following formula:

r = 14in

c = π * 2r

Now we replace the value of r

c = π * 2 * 14

c = π * 28

c = 28π

Now we have to multiply it by 30/360 which is the fraction that represents the arc over the entire circumference

28π * 30/360 = 2 1/3 π = 2.33 π

6 0

3 years ago

What happens to the value of f(x)=log4x as x approaches 0 from the right

SpyIntel [72]

The value of any log function approaches negative infinity as the argument approaches zero from above.

3 0

3 years ago

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Andy paid $1.40 for 4 grapefruits. Write a proportion and solve it to find how many grapefruits he can purchase for $2.10

ANEK [815]

6 grapefruits
because each grapefruit is .35

5 0

3 years ago

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