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saveliy_v [14]
3 years ago
7

The Egyptians used a ramp that could hold 1,000 pounds. If 6 people got on the ramp and they weighed 780 pounds total. What perc

entage of the ramp’s weight capacity is still available?
Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

Answer:

22%

Step-by-step explanation:

1000-780=220

220/1000=0.22, or 22%

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7. A machine produces memory sticks of varying lengths, distributed uniformly between 3mm and 13 mm. Memory sticks longer than 1
Mars2501 [29]

Answer:

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Distributed uniformly between 3mm and 13 mm.

This means that a = 3, b = 13

Calculate the proportion of memory sticks that will be scrapped:

P(X > 10) = \frac{13 - 10}{13 - 3} = \frac{3}{10} = 0.3

The proportion of memory sticks that will be scrapped is 0.3 = 30%.

6 0
2 years ago
Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. his sample data has
vova2212 [387]

The z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

<h3>How to find the value of z-statistic for population mean?</h3>

Suppose we're specified that:

  • The sample mean = \overline{x}
  • The population mean = \mu
  • The population standard deviation = \sigma
  • The sample size = n

Then the z-statistic for this data is found as:

Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}

For this case, we've got:

  • The sample mean = \overline{x} = 295
  • The population mean = \mu = 310
  • The population standard deviation = \sigma = 20
  • The sample size = n = 50

Thus, we get:

Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{295 - 310}{20/\sqrt{50}} \approx -5.30

Thus, the z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

Learn more about z-statistic here:

brainly.com/question/1640298

6 0
2 years ago
Read 2 more answers
10x + 7y = –8<br> 7x + 7y = –14
Georgia [21]

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

10x + 7y = - 8 → (1)

7x + 7y = - 14 → (2)

Subtract (2) from (1) term by term to eliminate y

(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

10(2) + 7y = - 8

20 + 7y = - 8 ( subtract 20 from both sides )

7y = - 28 ( divide both sides by 7 )

y = - 4

solution to the system of equations is (2, - 4 )

4 0
3 years ago
Elizabeth works for Picasso paint supplies. Her annual salary is $72,580. What is Elizabeth’s annual social security deduction?
Nikolay [14]

Social Security's Old-Age, Survivors, and Disability Insurance (OASDI) tax rate for wages paid in 2018 is set by the state at 6.2 % for employees and employers, each. An individual with wages equal to or larger than $128,400 would contribute $7,960.80 to the OASDI program. Since Elizabeth receives a salary of $72,580 from Picasso paint supplies, a lot lower than <span>$128,400, there will be no deduction. </span>

8 0
3 years ago
On a scale drawing of a museum, two water fountains are 10 inches apart. The actual distance between them is 400 feet. On the sa
AysviL [449]
The answer is 125 feet. I hope I helped.
6 0
3 years ago
Read 2 more answers
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