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leonid [27]
3 years ago
6

Pls help with my geometry!(question 3)

Mathematics
1 answer:
diamong [38]3 years ago
7 0
It’s either 30° or 45° bc of the quality I can’t really see, the trick is look at the corner and see if it’s a right angle, and every right angle is 90° if the line is straight across, it’s 45° if it’s uneven, it’s 30°
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Suppose an isosceles triangle abc has a=pi/4 and b=c=4. What is the length of a^2?
Zanzabum

The law of cosines states that, if \alpha is the angle between sides b and c,

a^2 = b^2+c^2-2bc\cos(\alpha)

So, plugging our values, we have

a^2 = 16+16-2\cdot 4\cdot 4\cdot\cos\left(\dfrac{\pi}{4}\right)

This is equal to

a^2 = 32-32\cdot\dfrac{\sqrt{2}}{2} = 32-16\sqrt{2}

3 0
3 years ago
The population of a town is 15,000. If the population is growing by 5% per year, how long will it take for the population to rea
nikdorinn [45]

by 10 years it'll be 24439 but by 11 it'll be 25661 so it's technically 11 years

6 0
3 years ago
Please help. i will mark you brainleist ​
djverab [1.8K]

Answer:

w = 1/8t

Step-by-step explanation:

So this is basically saying that for every 1 second that passed, 8 oz of water drip steadily into the bucket which can be expressed like this:

8w = t

Since t represents x and w represents y, we can simplify the equation by moving the 8 to the other side

w = 1/8t

4 0
3 years ago
Can you choose any two distinct points on a line to calculate the slope? True or False?
marin [14]
True, u can choose any two distinct points on a line to calculate the slope
4 0
3 years ago
Read 2 more answers
The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, 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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

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

By the Central Limit Theorem

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

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0
3 years ago
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