Answer:
Step-by-step explanation:
-14 + 2x + 3 = 4x - 13 - 7x
We can first add the numbers and coefficients on either side:
2x - 11 = -3x - 13
Then, we can add 3x to both sides:
5x - 11 = -13
We can add 11 to both sides
5x = -13 + 11 = -2
Lastly, we can divide both sides by 5
x = -2 / 5
What are the ratios and what are the different bins
Answer:
18.2 miles
Step-by-step explanation:
simple multiplication:
We know that 1 inch of distance on the map is equal to 5.2 miles.
Using this knowledge we can multiply the amount of inches by the miles per inch.
5.2*3.5=18.2 miles apart
Hope this helps!!
Answer:
cubic units.
Step-by-step explanation:
Let m represent length of the rectangular prism.
We have been given that the width of a rectangular prism is six times its length, so width of the prism would be
.
We are also told that the height is five times its length, so height of the prism would be
.
We know that volume of rectangular prism is height times width times length.



Therefore, the volume of the given rectangular prism would be
cubic units.
Answer:
The probability that no more than 70% would prefer to start their own business is 0.1423.
Step-by-step explanation:
We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.
Let
= <u><em>sample proportion of people who prefer to start their own business</em></u>
The z-score probability distribution for the sample proportion is given by;
Z =
~ N(0,1)
where, p = population proportion who would prefer to start their own business = 72%
n = sample of 18-29 year-olds = 600
Now, the probability that no more than 70% would prefer to start their own business is given by = P(
70%)
P(
70%) = P(
) = P(Z
-1.07) = 1 - P(Z < 1.07)
= 1 - 0.8577 = <u>0.1423</u>
The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.