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mixer [17]
3 years ago
6

Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hou

r?
a 0.8 of an inspection in 1 hour
b 4 inspections in 5 hours
c 1.25 inspections in 1 hour
d 5 inspections in 4 hours
Mathematics
2 answers:
Doss [256]3 years ago
7 0

Answer:

Option: c is the correct answer.

He completes 1.25 of inspection in 1 hour.

Step-by-step explanation:

Robert can complete 10 inspections in 8 hours.

Unit rate is defined as how much of something per unit of something else.

He completes 10 inspection in 8 hours.

or we can say that in 8 hour he completes 10 inspections.

So, in 1 hour he completes: 10/8 inspections=1.25 inspections.

Hence, option:c is correct.

He completes 1.25 of inspection in 1 hour.

polet [3.4K]3 years ago
3 0
The correct answer would be 1.25 inspections an hour because you just need to divide 10 by 8 and you should get 1.25. Hope this helps.
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A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles 3:4; but today the greedy h
poizon [28]

The weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4

<h3>What is the ratio?</h3>

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles was 3:4

Let 3x and 4x are the seeds from the smaller and bigger pile.

= 4x + 2  (greedy hamster placed another 2 pounds of seeds in the bigger pile)

= 3x - 1/4 (ate 1/4 pound from the smaller pile)

4x + 2 = 5x

Because the quantities of seeds in those piles is in the ratio of 5:16

After solving:

x = 2

Smaller pile weight = 3x = 3(2) = 6

Bigger pile wieght = 4x = 4(2) = 8

Thus, the weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ1

6 0
2 years ago
Identify three solutions of the graph shown. Please help
barxatty [35]
From the graph, we can see that the graph crosses the x-axis at the point (1.5, 0) the graph also passes through point (1, 1) and the graph crosses the y-axis at the point (0, 3).

Therefore, points (1.5, 0), (1, 1) and (0, 3) are some of the solutions of the graph.
5 0
4 years ago
Someone check my answers please
Anna007 [38]

Answer:

its right

Step-by-step explanation:

4 0
3 years ago
A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes a
Sati [7]

Answer:

P(X \geq0.55) \leq 0.22

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

Y=X_1+X_2+...+X_{100} is approximately normally distributed with

Y ~ N (100 × \frac{1}{3^2} ) = N ( 50, \frac{100}{9} )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, \frac{100}{9} )

P(Y>55) =P(Z>\frac{55-50}{10/3})

P(Y>55) =P(Z>1.5)

P(Y>55) =\phi (-1.5)

P(Y>55) =0.0668

Using Chebyshev's inequality:

P(|X-\mu\geq K)\leq \frac{\sigma^2}{K^2}

Let assume that X has a symmetric distribution:

Then:

2P(X-\mu\geq K)\leq) \frac{\sigma^2}{K^2}

2P(X \geq \mu+K)\leq) \frac{\sigma^2}{K^2}

2P(X\geq0.5+0.05)\leq \frac{\frac{1}{\frac{3^2}{100} } }{0.05^2}               where: (\sigma^2 = \frac{1}{3^2/100})

P(X \geq0.55) \leq 0.22

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3 years ago
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