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Paladinen [302]
2 years ago
7

Square root of 110 - n

Mathematics
1 answer:
AlexFokin [52]2 years ago
8 0

Answer:

√(110 - n)

Step-by-step explanation:

This can't be simplified.  All we can do here is re-write "square root of 110 - n" symbolically, which comes out to √(110 - n).  The parentheses are essential for clarity.

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Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the
kifflom [539]

Answer:

sin(72°)=x÷20ft.

sin(72°)×20ft.= 19ft 252 inches

the ladder reach 19ft 252 inches tall on the building.

Step-by-step explanation:

7 0
2 years ago
Parts being manufactured at a plant are supposed to weigh 65 grams. Suppose the distribution of weights has a Normal distributio
andrew-mc [135]

Answer:

0.64%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 75 grams and a standard deviation of 22 grams.

This means that \mu = 75, \sigma = 22

Sample of 144:

This means that n = 144, s = \frac{22}{\sqrt{144}} = 1.8333

More than 80 or less than 70:

Both are the same distance from the mean, so we find one probability and multiply by 2.

The probability that it is less than 70 is the pvalue of Z when X = 70. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{70 - 75}{1.8333}

Z = -2.73

Z = -2.73 has a pvalue of 0.0032

2*0.0032 = 0.0064.

0.0064*100% = 0.64%

The probability is 0.64%.

3 0
3 years ago
A tree house costs $530. You plan to save $10 each week. Your parents will help pay $80 of the cost. Your savings plan can be mo
ivanzaharov [21]
The answer would be 45 weeks, since you do 530-80 since that is the part the parents will foot, which will be 450 left. Then you do that divided by 10 since you plan to save 10 dollars a week and therefore are left with 45 weeks.
5 0
3 years ago
Find the area of this circle.
SashulF [63]

Answer:

not sure man... goodluck tho

3 0
2 years ago
Read 2 more answers
Solve for s -7s+3s-6=14
NikAS [45]

Answer:

s=-20/3

Step-by-step explanation:

Line the numbers

7 0
2 years ago
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