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2 years ago

Help me plssssssssss

Mathematics

2 answers:

elena55 [62]2 years ago

7 0

Answer:

<h2><u>4 quarters, 10 dimes</u></h2>

Step-by-step explanation:

x + y = 14 --> x = 14 - y

$0.10x + $0.25y = $2.00, or 10x + 25y = 200

- we can plug this value for x from the first equation into the second:

10(14 - y) + 25y = 200

140 - 10y + 25y = 200

140 + 15y = 200

15y = 60

y = 4 --> 4 quarters ($0.25 x 4 = $1.00)

if y = 4, then x = 14 - y --> x = 10 --> 10 dimes (0.10 x 10 = $1.00)

matches the second equation where these add up to $2.00

prisoha [69]2 years ago

7 0

Answer:

1 way is 10 dimes and 4 quartes

I can only come up with one way

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Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States is 22 feet. Suppose clear he

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Given Information:

Mean clear height = μ = 22 feet

Standard deviation of clear height = σ = 4 feet

Required Information:

a) P(X > 16) = ?

b) P(X < 14) = ?

c) P(25 < X < 30) = ?

Answer:

a) P(X > 16) = 93.12%

b) P(X < 14) = 2.27%

c) P(25 < X < 30) = 20.39%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

a) We want to find out the probability that the clear height is greater than 16 feet.

$P(X > 16) = 1 - P(X < 16)\\\\P(X > 16) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 16) = 1 - P(Z < \frac{16 - 22}{4} )\\\\P(X > 16) = 1 - P(Z < \frac{-6}{4} )\\\\P(X > 16) = 1 - P(Z < -1.5)\\\\$

The z-score corresponding to -1.5 is 0.0668

$P(X > 16) = 1 - 0.0668\\\\P(X > 16) = 0.9312\\\\P(X > 16) = 93.12 \%$

Therefore, the probability that the clear height is greater than 16 feet is 93.12%

b) We want to find out the probability that the clear height is less than 14 feet

$P(X < 14) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 14) = P(Z < \frac{14 - 22}{4} )\\\\P(X < 14) = P(Z < \frac{-8}{4} )\\\\P(X < 14) = P(Z < -2)\\\\$

The z-score corresponding to -2 is 0.02275

$P(X < 14) = 0.02275\\\\P(X < 14) = 2.27 \%$

Therefore, the probability that the clear height is less than 14 feet is 2.27%

c) We want to find out the probability that the clear height is between 25 and 30 feet.

$P(25 < X < 30) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(25 < X < 30) = P( \frac{25 - 22}{4} < Z < \frac{30 - 22}{4} )\\\\P(25 < X < 30) = P( \frac{3}{4} < Z < \frac{8}{4} )\\\\P(25 < X < 30) = P( 0.75 < Z < 2 )\\\\$

The z-score corresponding to 0.75 is 0.7734 and 2 is 0.9773

$P(25 < X < 30) = P( Z < 2 ) - P( Z < 0.75 ) \\\\P(25 < X < 30) = 0.9773 - 0.7734 \\\\P(25 < X < 30) = 0.2039\\\\P(25 < X < 30) = 20.39 \%$

Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 20.39%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

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3 years ago

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Tanya [424]

Answer:

Hello. It does have a maximum and minimum. You would have to use the formula x=-b/2a to find both of them. So first you have the equation which is x=2(x-2)^2+3, which you would have to make it an equation which is equals to F(x)=2x^2-8x+11. So b would be 8 and a would be 2. Enter them into the formula. So the answers would be (2,3)

Step-by-step explanation:

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3 years ago

enrico buys 3/8 pound of cheddar cheese and 4/8 pound swiss cheese how many cheese does enrico buy in all

creativ13 [48]

<h2>Greetings!</h2>

Answer:

They buy $\frac{7}{8}$ of cheese.

Step-by-step explanation:

When adding two fractions with the same denominator, you simply add the two numerators (numbers on top):

$\frac{3}{8} + \frac{4}{8} = \frac{7}{8}$

So they buy $\frac{7}{8}$ of cheese.

<h2>Hope this helps!</h2>

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3 years ago