All categories

3 years ago

Frances can complete 91 oil changes in 7 days.

Mathematics

2 answers:

baherus [9]3 years ago

8 0

91 / 7 = 13; 13 * 11 = (143 oil changes)

joja [24]3 years ago

5 0

Ratio problem:

91 changes = 7 days
----------------- --------
x 11 days

7x = 1001
x = 143

You might be interested in

Which of the following gives the correct intercept points and vertex point for the function ƒ(x) = x2 + 5x + 6?

Alex17521 [72]

Answer:

(-5/2,-1/4)

Step-by-step explanation:

7 0

3 years ago

What’s the area for this shape? I don’t know what the formula is

Reil [10]

Answer: 148.92in2

Step-by-step explanation: when dealing with the area of a triangle you do base X height giving you 20.4 as your base and 14.6 as your height so multiply those and you get 148.92 inches squares don’t forget that

3 0

3 years ago

Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7.20 per

gizmo_the_mogwai [7]

The answer is Plan B

7 0

3 years ago

Read 2 more answers

Suppose that 80 percent of all statisticians are shy, whereas only 15 percent of all economists are shy. Suppose also that 90 pe

Anna71 [15]

Answer:

37.21% probability that the person is a statistician.

Step-by-step explanation:

We have these following probabilities:

An 80% probability that a statistican is shy.

A 15% probability that an economist is shy.

At the gathering, a 90% probability that a person is an economist.

At the gathering, a 10% probability that a person is a statistican.

If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?

This can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

What is the probability that the person is a statistican, given that he is shy?

P(B) is the probability of the person being a statistican. So P(B) = 0.1.

P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.

P(A) is the probability of a person being a shy. This is 15% of 90%(economists) and 80% of 10%(statisticans). So

$P(A) = 0.15*0.9 + 0.8*0.1 = 0.215$

Finally

$P = \frac{P(B).P(A/B)}{P(A)}$

$P = \frac{0.1*0.8}{0.215} = 0.3721$

37.21% probability that the person is a statistician.

3 0

4 years ago

During a dig, an archaeological team starts at an elevation of −512 feet. At a rate of 234 feet per hour, the team digs deeper i

creativ13 [48]

Are you referring to this question?
During a dig, an archaeological team starts at an elevation of −5 1/2 feet. At a rate of 2 3/4 feet per hour, the team digs deeper into the surface for 3 1/2 hours. For the next 4 1/2 hours, the team digs at a rate of 1 5/12 feet per hour. Then the team quits for the day.
How many feet did the archaeological team dig after 3 1/2 hours?
<span>What was the team's elevation at the end of the day?
</span>
If so, then let us find out the elevation.

The rate of their dig is 2 3/4 ft per hr for 3 1/2 hours, then the total distance dug after 3 1/2 hours should be: 9 5/8 ft

Here’s how we get the total distance:

First, change mixed number into improper fraction and proceed to multiplication

2 3/4--> 11/4 and 3 1/2 becomes 7/2

Multiply.

11/4 x 7/2 = 77/8

Simplify 77/8--> 9 5/8 ft

Let us move on at the rate of 1 5/12 ft per hr for the next 4 1/2 hr,

Following the same procedure as above, the distance would be: 6 9/24 ft

Distance= 1 5/12 x 4 1/2

= 17/12 x 9/2

= 153/24

= 6 9/24 ft

Thus,to sum up everything, they have a total dug of:

9 5/8 + 6 9/24 = 9 15/24 + 6 9/24 = 16 ft

Then, their elevation on that day<span> is -5 1/2 - 16 = -21 1/2 ft</span>

5 0

4 years ago