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vlabodo [156]
3 years ago
6

Angie and Kim are sharing a large sub sandwich. Angie ate

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

They ate 2/3 together. And, they have 1/3 left!

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Will correctly calculated 45 ÷ 6 as 7.5. How can he find 4,500 ÷ 6 without dividing?
Anastasy [175]
Add the zeros on to 7.5 to which you would move the decimal and it should be like this 750.0 or 750
5 0
3 years ago
Normal form [see attachment]
musickatia [10]

I just did one of these. I guessed that normal form is


x \cos \phi + y \sin \phi -  p = 0


Here' that's


x (\sqrt{3}/2) + y (1/2) - 10 = 0


\sqrt{3} x + y - 20 = 0


Choice b




4 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
The quotient of 45 and 4 2/5? What is the expression for that ?
Andru [333]

Answer:

Expression: 45 ÷ 4\frac{2}{5}  

Answer: 45 ÷ 4\frac{2}{5} = \frac{225}{22}

3 0
3 years ago
What is the slope of the line that contains the points in the table?
Debora [2.8K]

Answer:

D

Step-by-step explanation:

The boxes with whole numbers in them written as coordinates:

(-4, -11)

(8, -8)

we know gradient is rise over run, or (y2 - y1) / (x2 - x1)

gradient = (-8 - -11) / (8 - -4)

gradient = 3 / 12

gradient = ¼

4 0
2 years ago
Read 2 more answers
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