Simplify x + (7+14x)

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

8 0

Answer:

15x + 7

Step-by-step explanation:

x + (7 + 14x)

x + 7 + 14x

15x + 7

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On the ceiling of a cavern, a stalactite grows downward

Tcecarenko [31]

The stalactites become 0.004 + 0.006 = 0.01 inches closer each year, and begin 10 feet apart, or 120 inches apart.

let y be the distance between them, and x be the number of years that go by:
y = -0.01x + 120

We want to find where y = 0, where they meet:
0 = -0.01x + 120 Add 0.01x to both sides
0.01x = 120 Multiply both sides by 100
x = 12,000

The stalagmite and stalactite will meet in 12,000 years

4 0

3 years ago

I think of a number, multiply it by 2, add 7 and the result is 10

timama [110]

Answer:

3/2

Step-by-step explanation:

if you multiply 3/2 by 2 and add 7 you will get 10.

3/2 * 2 = 3

3 + 7 = 10

5 0

3 years ago

Calculate the sample standard deviation and sample variance for the following frequency distribution of hourly wages for a sampl

lidiya [134]

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

$\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}$

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

$x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13$

$x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88$

$x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63$

$x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38$

$x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13$

So, the table becomes:

$\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}$