Mike earned $11.76 per hour for working 23.5 hours last week. how much money did mike earn last week?

For a certain population of sea turtles, 18 percent are longer than 6.5 feet. A random sample of 90 sea turtles will be selected

nika2105 [10]

Answer:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

18 percent are longer than 6.5 feet.

This means that $p = 0.18$

A random sample of 90 sea turtles

This means that $n = 90$

What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405$

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

8 0

2 years ago

Grace rakes leaves everyday for one week. She fills the same number of bags with leaves on each of the 5 weekdays. She fills 11

svlad2 [7]

Answer:

3 bags per weekday

Step-by-step explanation:

Total bags of leaves at the end of the week = 26 bags

Bags of leaves she fills over the weekend = 11 bags

Bags of leaves she fills during weekdays = x bags

Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays

26 = 11 + x

Subtract 11 from both sides

26 - 11 = 11 - 11 + x

15 = x

x = 15 bags

If she fills the same number of bags with leaves on each of the 5 weekdays.

how many bags she filled each weekday.

Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays

= 15 bags / 5 weekdays

= 3 bags per weekday

7 0

2 years ago

You are in charge of a crew that inspects cars. Each car takes approximately 1/2 hour for 1 person to inspect. The normal crew h

jonny [76]

Answer:

Each inspectors NEEDS to work 20 hours in order to review 320 cars.

Step-by-step explanation:

The amount of time taken to inspect 1 car = 1/2 hr = 0.5 hr

The total people in crew are supposed to be 10

But 2 people are MISSING.

So, the total number of present people in crew = 10 - 2= 8

The total number of cars to be inspected = 320 cars.

Since each car takes 0.5 hour to be reviewed.

So, the time required to review 320 cars = 320 x 05 = 160 hours.

So, the total hours needed to inspect all 320 cars = 160 hours

Now,as there are total 8 crew members.

$\implies \textrm{The number of hours each inspector needs to work} = \frac{\textrm{Total working hours needed}}{\textrm{Toal number of inspectors}} \\= \frac{160}{8} = 20$

Hence , each inspectors NEEDS to work 20 hours in order to review 320 cars.

7 0

1 year ago

The minimum length L of a highway sag curve can be computed by where θ 1 is the downhill grade in degrees (θ 1 < 0°), θ 2 is

8_murik_8 [283]

Answer:

The answer to the nearest foot is = 15 feet

Step-by-step explanation:

Solution

The first set taken is to Compute L for a 55-mph speed limit

Given that

L =(θ2 -θ1)/200 (h +S Tan ∝) =

= ( u + 5) 336²/200 (1.9 +336 tan 0.7°)

= 9° (336)²/200 (1.9 +336 tan 0.7°) = 14.7652094

= 15 feet { 9° = 9*π/180 = π/20}

Note: Kindly find an attached image for the complete question given and answered

5 0

1 year ago

Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 3 hats. She pla

horsena [70]

Answer:

y=3+x

Step-by-step explanation:

If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me

At the very beginning, when

x=0, Laurel hasn't bought any new hats yet, she owns 3 hats, so y=3.

After the first month, when x=1, laurel owns 3 hats, plus the 1 hat she just bought. She now owns y=3+1 hats.

After the second month, when

x=2, laurel owns 3 hats, plus the 2

new hats she bought after she started collecting hats. She now owns y=3+2

hats.

Now, we can write the function.

y=3+x

7 0

2 years ago