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soldi70 [24.7K]
3 years ago
13

Simplify: -10(2r - 4) *​

Mathematics
1 answer:
zhuklara [117]3 years ago
7 0

Simplified Answer: -20r + 40

Step-by-step explanation:

Step 1: Use the distributive property. -10(2r - 4)    

-10 x 2r = -20r and -10 x (-4) = 40

(If you are multiplying two negative integers your answer will always be positive.)

Step 2: Simplified answer: (-20r + 40)

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College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall
Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

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

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

35\text{ min}=0.58\text{ Hour}

z=\frac{9.6-8.6}{0.58}

z=\frac{1}{0.58}

z=1.72

Now, we need to find P(z>1.72).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.72)=1-P(z

Using normal distribution table, we will get:

P(z>1.72)=1-0.95728

P(z>1.72)=0.04272

0.04272\times 100\%=4.272\%

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0
3 years ago
A customer purchased a furniture for Rs.3390 with 13% VAT . Find the cost of the furniture without VAT?
Sergeu [11.5K]
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3 0
3 years ago
Read 2 more answers
The GCF of two numbers is 850 neither number is divisible by the other what is the smallest these two numbers can be?
saul85 [17]
Began by dividing 850 by 1, then 2, then 3, and so on, and I made a list of the whole numbers.

They were 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, and 850

By inspection, the two smallest numbers which when multiplied together yielded 850 were 25 and 34.
5 0
3 years ago
The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.
3241004551 [841]
This is child's play. 

So, basically:
Y=Length of foot
X= Length of your forearm. 
This is simple. Your equation is Y=0.860x + 3.302
So, if you have a forearm (x) that is 17 inches long, then plug in x as 17. This leaves you to evaluate for Y.
New equation: Y=0.860(17) +3.302
Work it out, you get: Y=14.62 + 3.302
Work that out, you get: Y= 17.922 inches long. 
And of course, Y is the foot.

So, your answer: If the forearm is 17 inches long, then the foot is 17.922 inches long. Simple.

So, part 2:
Rate of change. Well, you need slope then, because that's the same thing.
Y=mx+b, Where m=slope
Your answer turns to be 0.860 inches per length of arm, for rate of change.

Skipping the data, as that's only something you'd know.

Yes, it is indeed a function. There can't be any exponents greater than 1 on the placeholder, and it's obviously not a straight line if you plug it in. 

So yeah, it's a function.

~Hope this helps m8







5 0
3 years ago
Read 2 more answers
Shannon delivered 135 muffins to each of 7 restaurants. How many muffins did Shannon deliver?​
Pani-rosa [81]

Answer:

945 muffins

Step-by-step explanation:

135 * 7 = 945

8 0
3 years ago
Read 2 more answers
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