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Mekhanik [1.2K]
3 years ago
11

Is square root 1 minus cosine squared theta = −sin Θ true? If so, in which quadrants does angle Θ terminate?

Mathematics
1 answer:
slamgirl [31]3 years ago
8 0
The trigonometric identity states that the sum of the square of cosine and sin is equal to 1. In this case, the identity is tried to rearrange and tried to verify if the statement above is true. 

<span>Square root 1 minus cosine squared theta = −sin Θ 
This is only true in angles tried such as (360-45) or (270-45). hence </span><span> Θ should be in quadrant III and IV only</span>
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A cylindrical container has a base area of 100 m2 and is 12m high. if the container is one-third filled with water, what's the v
docker41 [41]
Volume of water=\frac{1}{3}*BA*H
V=\frac{1}{3} *100 m^{2} *12m
V=400m^{3}
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3 years ago
Why does the fact family for 81 and 9 have only two number sentences
Julli [10]
It only has two number sentences because 81 divided by anything else wont work only 9 would. Also since 9 times 9 is equal to 81
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Read 2 more answers
The number is three digits, the number is even, the tens digit is half the hundreds digit, the sum of the digit is 14 what is th
ser-zykov [4K]

Let x represent the digit in the hundreds place, y represent the digit in the tens place, and z represent the digit in the ones place. What do we know about each digit?

x: twice y (2, 4, 6, or 8)

y: half of x (1, 2, 3, or 4)

z: an even number (0, 2, 4, 6, or 8).

The sume of the digits is 14. So, x + y + z = 14

Choose one of the digits and look at your options (if any).

when x=2, then y = 1, which means z has to be 11 (NOT VALID)

when x=4, then y = 2, which means z has to be 8 (428 works!)

For fun, let's see if any other numbers work:

when x=6, then y = 3, which means z has to be 5 (NOT VALID)

when x=8, then y = 4, which means z has to be 2 (842 works!)

Answer: 428 and 842 both work



5 0
3 years ago
Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distribut
defon

Answer:

0.8665 = 86.65% probability that the sample mean would be at least $39000

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 $39725 and standard deviation $7320.

This means that \mu = 39725, \sigma = 7320

Sample of 125:

This means that n = 125, s = \frac{7320}{\sqrt{125}} = 654.72

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

Z = \frac{39000 - 39725}{654.72}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample mean would be at least $39000

4 0
3 years ago
Which smallest number must be assigned to # to make the number 378#96 divisible by 8?
skelet666 [1.2K]

Answer:

2

Step-by-step explanation:

378296/8=47287

5 0
3 years ago
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