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Readme [11.4K]
3 years ago
5

Max spends three times as long on his math homework than he does on his science homework. If he spent total of 64 minutes on mat

h and science homework last night how long did i he spend on homework?
Mathematics
1 answer:
den301095 [7]3 years ago
6 0

Let X = science homework.

Then math homework would be 3x ( three times as long).

Now you have math plus science = 64 minutes:

x  + 3x = 64

Combine like terms:

4x = 64

Divide both sides by 4:

x = 64 / 4

x = 16

He spent 16 minutes on science and 48 minutes on math.

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Since the communative property shows you can add or multipy in any order, this means you can add all three of these in a different order and still get the same answer.....For example, you can do $1.25 + $0.80 + $2.75 or you can switch it around and do it in another way
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3 years ago
A counselor records the number of disagreements (per session) among couples during group counseling sessions. If the number of d
Shalnov [3]

Answer:

P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)

And we can find this probability with the complement rule:

P(z>-1)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:

X \sim N(4.4,0.4)  

Where \mu=4.4 and \sigma=0.4

We are interested on this probability

P(X>4)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)

And we can find this probability with the complement rule:

P(z>-1)=1-P(z

3 0
3 years ago
5 yards 2 feet × 2=​
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Answer:

11 1/3 yards or 34 feet

6 0
3 years ago
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Jasmine knows that the area of a rectangle is the product of its base and height. Help her write an expression that represents t
Arlecino [84]

Answer:

Area of rectangle = H × B

Area of rectangle = 10(H)

Step-by-step explanation:

Given:

Base (B) = 10

Height = H

Find:

Area of rectangle

Computation:

Area of rectangle = Height × Base

Area of rectangle = H × B

So,

Area of rectangle = H × B              [Base (B) = 10]

⇒ Area of rectangle = H × 10

⇒ Area of rectangle = 10(H)

6 0
2 years ago
Natasha rode her
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Answer:

130 minutes total and 2 hours and 10 minutes

Step-by-step explanation:

Its correct

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2 years ago
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