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Lera25 [3.4K]
2 years ago
10

40% of attendees at Martika's wedding order

Mathematics
1 answer:
Harrizon [31]2 years ago
6 0

Answer:

400 people

Step-by-step explanation:

equation: 40/100 = 160/x

cross multiply: 40 * x = 100 * 160

multiply: 40x = 16000

divide each side by 40: x = 400

there is 400 people

I hope this helped, please mark Brainliest, thank you !!

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A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoe
Morgarella [4.7K]

Answer: 12

Step-by-step explanation:

There are 12 different combinations

If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once

7 0
2 years ago
If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar
Shkiper50 [21]

Answer:

<u><em>The area increase by 225%</em></u>

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

<em><u>attachment of a triangle</u></em>

<em><u>The area of a triangle equilateral is calculated with the next formula:</u></em>

<em><u>A=\frac{a*h}{2}</u></em>

<em><u>h^{2} +(\frac{a}{2})^{2}=a^{2}</u></em>

<em><u>h^{2} = a^{2} - \frac{a^{2} }{4}= \frac{a^{2} }{4}*3</u></em>

<em><u>h=\sqrt{\frac{a^{2}*3 }{4} }</u></em>

<em><u>h=\frac{\sqrt{3}*a }{2}</u></em>

<em><u>replacing in the A equation:</u></em>

<em><u>A=\frac{a*\sqrt{3}*a }{2*2}</u></em>

<em><u>A=\frac{\sqrt{3}*a^{2} }{4}</u></em>

<em><u>Now each side increse by 50% ⇒ a=1.5a</u></em>

<em><u>A= \frac{\sqrt{3}*(1.5a)^{2} }{4}</u></em>

<em><u>A=\frac{\sqrt{3}*a^{2}* 2.25 }{4}</u></em>

<em><u>A=2.25 * \frac{\sqrt{3}*a^{2} }{4}</u></em>

<em><u>It means that the area incrase by 225%</u></em>

6 0
3 years ago
write an equation of the line that passes through -3,0 and has a slope of 6 put your answer in standard form
Alinara [238K]

Answer:

y=-9

Step-by-step explanation:

slope intercept form: y=mx+b, m being the slope

y=6 times -3

since there isn't a y intercept, you can't really put it in standard form unless I missed a step.

y= -9

4 0
3 years ago
The time for a visitor to read health instructions on a Web site is approximately normally distributed with a mean of 10 minutes
klio [65]

Answer:

a) The mean is 10 and the variance is 0.0625.

b) 0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.

c) 10.58 minutes.

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 establishes 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.

Normally distributed with a mean of 10 minutes and a standard deviation of 2 minutes.

This means that \mu = 10, \sigma = 2

Suppose 64 visitors independently view the site.

This means that n = 64,  = \frac{2}{\sqrt{64}} = 0.25

a. The expected value and the variance of the mean time of the visitors.

Using the Central Limit Theorem, mean of 10 and variance of (0.25)^2 = 0.0625.

b. The probability that the mean time of the visitors is within 15 seconds of 10 minutes.

15 seconds = 15/60 = 0.25 minutes, so between 9.75 and 10.25 seconds, which is the p-value of Z when X = 10.25 subtracted by the p-value of Z when X = 9.75.

X = 10.25

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

By the Central Limit Theorem

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

Z = \frac{10.25 - 10}{0.25}

Z = 1

Z = 1 has a p-value of 0.8413.

X = 9.75

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

Z = \frac{9.75 - 10}{0.25}

Z = -1

Z = -1 has a p-value of 0.1587.

0.8413 - 0.1587 = 0.6826.

0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.

c. The value exceeded by the mean time of the visitors with probability 0.01.

The 100 - 1 = 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

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

2.327 = \frac{X - 10}{0.25}

X - 10 = 2.327*0.25

X = 10.58

So 10.58 minutes.

6 0
3 years ago
A point is a ______.
Ksju [112]
A point is a geometry figure named with lowercase letters (I'm pretty sure)
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