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Ratling [72]
2 years ago
8

If 2 inches in the drawing represents 1 mile, which distance is closest to the length of

Mathematics
1 answer:
Delvig [45]2 years ago
7 0

wheres the picture

Step-by-step explanation:

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How would I solve this equation?
Assoli18 [71]
2(7/2)^x = 49/2

Divide both sides by 2:

(7/2)^x = 49/4

I notice that 49/4 can be rewritten as (7/2)^2, so we now have:

(7/2)^x = (7/2)^2

The only way for this to be true is if x = 2.  Thus, we are done.

6 0
3 years ago
The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 . a.
Anastasy [175]

Answer:

a) 0.073044

b) 0.75033

c) The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 .

a. Find the probability that an individual distance is greater than 218.00 cm.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 218

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

For x > 218

z = 218 - 205.5/8.6

z = 1.45349

Probability value from Z-Table:

P(x<218) = 0.92696

P(x>218) = 1 - P(x<218) = 0.073044

b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00

When = random number of samples is given, we solve using this z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 204

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

n = 15

For x > 204

Hence

z = 204 - 205.5/8.6/√15

z = -0.67552

Probability value from Z-Table:

P(x<204) = 0.24967

P(x>204) = 1 - P(x<204) = 0.75033

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

3 0
3 years ago
Perimeter of a quarter circle is 17.85 what is the quarter circles radius
givi [52]

The radius of the given circle  is 2.84 units

Step-by-step explanation:

Step 1 :

Given

The perimeter of a quarter table is 17.85

We need to find the circle's radius.

Step 2 :

The circle's perimeter is given by the formula, 2 \pi r where r represents the circle's radius

So from this we have ,

2 \pi r = 17.85

We can determine the radius by dividing the perimeter value by 2 \pi

= >  r = 17.85 divided by 2 \pi r

        = 2.84 [ taking  \pi  = \frac{22}{7}]

Step 3 :

Answer :

The radius of the given circle  is 2.84 units

4 0
3 years ago
Find the missing length
krek1111 [17]
Ok so what u do first is



Smsmsnms SMA
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A
7 0
2 years ago
5 students each brought in 8 boxes with 10 pencils per box and 10 students each brought in 8 boxes with 5 pencils per box how ma
Viefleur [7K]

Answer:

800 pencils

Step-by-step explanation:

because if 5students brought in a set of 8 box's with ten in it you get 80 times 5 you get 400 then you add the ten students that brought in a set of 40 each which is another 400 so400 +400= 800

3 0
3 years ago
Read 2 more answers
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