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2 years ago

Which mathematical statement shows the relationship between gravity and mass?

Mathematics

1 answer:

Alona [7]2 years ago

4 0

Answer:

F (force of gravity) = M (mass of an object) × G (acceleration due to gravity)

Step-by-step explanation:

Force of gravity (F) = Mass (M) × Gravitational acceleration (G)

The weight of an abject is equal to its gravitational force!

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In measuring reaction time, a psychologist estimates that a standard deviation is .05 seconds. How large a sample of measurement

blondinia [14]

Answer:

Step-by-step explanation:

We are asked to find the size of sample to be 95% confident that the error in psychologist estimate of mean reaction time will not exceed 0.01 seconds.

We will use following formula to solve our given problem.

$n\geq (\frac{z_{\alpha/2}\cdot\sigma}{E})^2$ , where,

$\sigma=\text{Standard deviation}=0.05$ ,

$\alpha=\text{Significance level}=1-0.95=0.05$ ,

$z_{\alpha/2}=\text{Critical value}=z_{0.025}=1.96$ .

$E=\text{Margin of error}$

$n=\text{Sample size}$

Substitute given values:

$n\geq (\frac{z_{0.025}\cdot\sigma}{E})^2$

$n\geq (\frac{1.96\cdot0.05}{0.01})^2$

$n\geq (\frac{0.098}{0.01})^2$

$n\geq (9.8)^2$

$n\geq 96.04$

Therefore, the sample size must be 97 in order to be 95% confident that the error in his estimate of mean reaction time will not exceed 0.01 seconds.

5 0

2 years ago

Jeremy opens a chocolate shop in the city. He pays $1,500 a month for rent and maintenance of the shop. The price of raw materia

KATRIN_1 [288]

Amount of money paid by Jeremy as rent and maintenance of shop per month = $1500
Cost of raw materials and manufacturing per month = $6000
Total cost that Jeremy has to spend per month = (1500 + 6000) dollars
      = 7500 dollars
Number of individual chocolates sold = 2400
Number of chocolates sold in boxes = 50 boxes
   = (12 * 50) chocolates
   = 600 chocolates
Then
Total number of chocolates sold by Jeremy = 2400 + 600
   = 3000
Now
Price of each chocolate = 7500/3000 dollars
   = 75/30 dollars
   = 5/2 dollars
   = 2.5 dollars
Price of 600 chocolates = 600 * (5/2) dollars
   = 300 * 5 dollars
   = 1500 dollars
Price of 12 chocolates = (1500/600) * 12
   = 15 * 2
   = 30 dollars
Then
We can say that each box of chocolate should be sold at $30. All the loose chocolates should be sold at $2.5 each.

8 0

2 years ago

Which number has the greatest absolute value? <br> a. 0 <br> b. 10 <br> c. –10 <br> d. –20?

Triss [41]

Keep in mind, absolute values are always positive, even when they say negative.That is because the absolute value of a number is just the distance that number is from 0. Example : -5 and 5...they are both 5 spaces from 0...doesn't matter if it is negative or positive, it is still 5 spaces.

|0| = 0
|10| = 10
|-10| = 10
|-20| = 20

so ur answer is : | -20 |

6 0

2 years ago

The cost of a car is $15,570. You plan to make a down payment of $1,500, and a monthly payment of $338.08 for 60 months. What is

Helga [31]

Hi there
1) b
15,570−1,500
=14,070
2) a
338.08×60
=20,284.8
3)d
20,284.8−14,070
=6,214.8
4) c
338.08×60+1,500
=21,784.8

Hope it helps

4 0

2 years ago

Read 2 more answers

A rectangular patio has area of 180 square feet. The width of the patio is 3 feet less than the length. Find the length and widt

kondaur [170]

My calculations got to a decimal so it’s about.