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olya-2409 [2.1K]
3 years ago
13

How do you show the remainder of 166/6 as a fraction

Mathematics
2 answers:
Sedaia [141]3 years ago
8 0
The remainder of 166 is:

4.

You put the remainder over the divisor and simplify.

Easy!
27 4/6
or
27 2/3
podryga [215]3 years ago
4 0
I think It's. 1 4/6.
You might be interested in
. Tommy gives baseball cards to four of his friends. He gives Kiana 3 cards less than he gives Gary.
Licemer1 [7]
We need to write system of equations for this problem. Reading text we write 1 equation by 1.
first lets name our variables
x - Kiana cards
y - Gary cards
z - Monty cards
m - Willa cards

x = y-3         which we can write as y = x+3
z = x + 7
m = 2z
x + y + z + m = 74

I think easiest way to solve this is to express all variables in last equation and solve for x.
x + x+3 + x + 7+ 2x + 14= 74
5x = 50
x = 10
now we just calculate cards given to each friend

y = 13
z = 17
m = 34
7 0
3 years ago
A patio in the shape of a regular octagon (8-sided figure) has a side length of 24 ft and an apothem length of 60 ft. What is th
Damm [24]
Given:
Octagon-shaped patio
Side length = 24ft
apothem length = 60ft

Area of a regular octagon = 2 * a² * (1 + √2)
a = side length

A = 2 * (24ft)² * (1 + √2)
A = 2 * 576ft² * (1 + 1.414)
A = 2 * 576ft² * 2.414
A = 2,780.93 ft²

8 0
3 years ago
At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine
Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The machine is known to have 99 green balls and 78 red balls.

This means that p = \frac{99}{99+78} = 0.5593

Mean and standard deviation:

\mu = p = 0.5593

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

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

By the Central Limit Theorem

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

Z = \frac{0.61 - 0.5593}{0.0373}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

8 0
2 years ago
1. Use the quadratic, x? + 18x = 25 to answer the following questions.
makvit [3.9K]

Answer:

FIRST PROBLEM:

Exact Form:

x  =  25 /19

Decimal Form:

x =  1.31578947

Mixed Number Form:

x  =  1  6 /19

SECOND PROBLEM

Exact Form:

x  =  − 9  +  √ 106 ,  − 9  − √ 106

Decimal Form: x  =  1.29563014 ,  − 19.29563014

Step-by-step explanation:

5 0
3 years ago
Select the correct answer.
exis [7]
F(x)=2^x is the answer
5 0
3 years ago
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