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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

1 answer:

Kitty [74]3 years ago

6 0

Answer: B) 1.6

<u>Step-by-step explanation:</u>

$P=100e^{(.70)t}\\\\\text{It is given that P = 300}\\300=100e^{(.70)t}\\\\\text{Divide both sides by 100}:\\3=e^{(.70)t}\\\\\text{Apply ln to both sides to eliminate e}:\\ln(3)=0.7t\\\\\\\text{Divide both sides by 0.7 to solve for t}:\\\dfrac{ln(3)}{0.7}=t\\\\1.569=t$

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I suck at geometry lol

Pavlova-9 [17]

Answer:

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2. Let the length of the legs be x, so 2x^2 = c^2. c is the hypotenuse, which means that 2x^2 = 64. Divide both sides by 2, and we get x^2 = 32. Square root both sides and we get sqrt 32 or 4 * sqrt 2.

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3 years ago

Five times five eighths

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25/8, or 3 1/8 simplified :0 hope this helps!

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3 years ago

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A box contains 15 yellow, 15 orange, and 15 green tennis balls. If Izzy draws a tennis ball at random out of the box, what is th

Orlov [11]

Add all is 45 and then you subtracted 30 it’s 15

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3 years ago

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A manufacturer makes chocolate squares that have a target weight of 8 g. Quality control engineers sample 30 chocolate squares t

posledela

Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.

<h3>Normal Probability Distribution</h3>

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

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is $\mu = 8.5$ .

The standard deviation is $\sigma = 0.87$ .

A sample of 30 is taken, hence $n = 30, s = \frac{0.87}{\sqrt{30}} = 0.1588$ .

The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:

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

By the Central Limit Theorem:

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

$Z = \frac{8 - 8.5}{0.1588}$

$Z = -3.15$

$Z = -3.15$ has a p-value of 0.0008.

1 - 0.0008 = 0.9992.

The power of the test is of 0.9992 = 99.92%.

To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213

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3 years ago

A student answered 44 questions correctly on a test with 55 questions. what percent of the test was answered correctly?

Zina [86]

Answer:

80%

Step-by-step explanation:

The basic idea of this problem is to convert $\frac{44}{55}$ into a percentage. $\frac{44}{55}$ can be simplified to $\frac{4}{5}$ which is also 80%.

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