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julsineya [31]
3 years ago
7

A person is walking at a rate of 9 feet every 4 seconds.(b) Given the rate in (a), how far would this

Mathematics
1 answer:
Crank3 years ago
8 0

Answer:

2.25 feet

31.5 feet

Step-by-step explanation:

Given that the person travels 9 feet every 4 seconds, it means that in one second, the distance walked

= 9/4

= 2.25 feet

If the person walks 2.25 feet in a second then in 14 seconds, the distance walked

= 2.25*14/1

= 31.5 feet

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Suppose that y varies directly as the square of x, and that y=567 when x=9. What is y when x=4
Gwar [14]

Answer:

y  = 112

Step-by-step explanation:

If  y varies directly as the square of x

mathematically;

y ∝ x²

y = kx² where 'k' is the constant of proportionality

let u know the value of k for this equation by making k the subject of the formular from y = kx²

divide both sides by x²

k = y / x²

given that  y = 567 x = 9

k = 567/(9)²

k = 567/81

k = 7

now to get the value of  y when x = 4

from the equation conneting x, y,

y = kx²

y = 7 × (4)²

y = 7 × 16

y  = 112

6 0
3 years ago
A baseball coach order hats for his team. Each hat cost $10. The shipping charger is $6. The total cost of the order must be les
NeTakaya
The answer should be:

10h + 6 < 125
3 0
3 years ago
Read 2 more answers
Bridget rolls a fair dice 84 times.<br> How many times would Bridget expect to roll an odd number?
cluponka [151]

Answer:

42 times

Step-by-step explanation:

Since there are 6 sides on a fair dice, each having a number 1 thru 6 with no numbers repeating and half those numbers being odd, Bridget can expect to roll an odd number 84*(1/2) times. So our answer is 42.

Also, if you could please mark this "brainliest" (the crown) it would help a lot!

6 0
3 years ago
It is 4 kilometers from Ravi's house to the nearest mallbox. How far is it in meters
DIA [1.3K]

Answer:

4,000 meters

Step-by-step explanation:

The conversion from kilometers to meters is 1 kilometer equals 1,000 meters. So times the conversion by 4 to get 4,000 meters.

8 0
2 years ago
Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation o
Harlamova29_29 [7]

Answer:

The probability is 0.0643

Step-by-step explanation:

* Lets revise some definition to solve the problem

- The standard deviation of the distribution of sample means is called σM

- σM = σ/√n , where σ is the standard deviation and n is the sample size

- z-score = (M - μ)/σM, where M is the mean of the sample , μ is the mean

 of the population  

* Lets solve the problem

- The mean of the washing machine is 9.3 years

∴ μ = 9.3

- The standard deviation is 1.1 years

∴ σ = 1.1

- There are 70 washing machines randomly selected

∴ n = 70

- The mean replacement time less than 9.1 years

∴ M = 9.1

- Lets calculate z-score

∵ σM = σ/√n

∴ σM = 1.1/√70 = 0.1315

∵ z-score = (M - μ)/σM

∴ z-score = (9.1 - 9.3)/0.1315 = - 1.5209

- Use the normal distribution table of z to find P(z < -1.5209)

∴ P(z < -1.5209) = 0.06426

∵ P(M < 9.1) = P(z < -1.5209)

∴ P(M < 9.1) = 0.0643

* The probability is 0.0643

5 0
3 years ago
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