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2 years ago

Question 2) The measures of the angles of a triangle

Mathematics

1 answer:

Nana76 [90]2 years ago

5 0

Answer:

15 18 21 are the answer hope it's useful

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Neil is making colorful friendship bracelets for 6 of his friends. He has all of the colors of

garri49 [273]

Answer:

your answer is 11 feet, or 132 inches.

Step-by-step explanation:

one bracelet needs 22 inches, but he's making six, so multiply.

you should get 132, which can be divided by 12 to see how many feet you need, since this is what the question requires.

Hope I Helped!

3 0

2 years ago

Rodney can wash 24 windows in an hour how many windows can he wash in 1/8 of an hour

Viktor [21]

Answer:

Step-by-step explanation:

24x (1/8) = 3

hope this helps

3 0

2 years ago

Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont

solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that $\mu = 36, \sigma = 2$

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

$Z = \frac{X - \mu}{\sigma}$

$-2.054 = \frac{X - 36}{2}$

$X - 36 = -2.054*2$

$X = 31.89$

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0

2 years ago

The sides of a triangle are in the ratio 5 : 12 : 13. What is the length of each side of the triangle if the perimeter of the tr

Ganezh [65]

Answer:

2.5, 6 and 6.5 inches.

Step-by-step explanation:

5 + 12 + 13 = 30

So the shortest side = 5/30 * 15 = 1/6 * 15

= 2.5 inches.

The longest = 13 / 30 * 15 = 13/2

= 6.5 inches,

and the third = 12/30 * 15

= 6 inches.

4 0

2 years ago

4^(4x-1)=32 <br><br> How do I solve this problem? Do I do 4 to the fourth power first?

yKpoI14uk [10]

Answer:

$\large\boxed{x=\dfrac{7}{8}}$

Step-by-step explanation:

$4^{(4x-1)}=32\\\\(2^2)^{4x-1}=2^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-1)}=2^5\iff2(4x-1)=5\ \ \text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-1)=5\\\\8x-2=5\qquad\text{add 2 to both sides}\\\\8x=7\qquad\text{divide both sides by 8}\\\\x=\dfrac{7}{8}$

7 0

2 years ago

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