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AysviL [449]
2 years ago
13

-8 3/8+6 1/4 written in simplest form

Mathematics
1 answer:
natka813 [3]2 years ago
3 0

Step-by-step explanation:

-8 3/8 + 6 1/4 = -2 1/8 or you can also write -17/8

<h2>hope this help you!! ;))</h2>
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A recent survey found that 86% of employees plan to devote at least some work time to follow games during the NCAA Men's Basketb
trasher [3.6K]

Answer:

4.18% probability that less than 80% of this sample will devote work time to follow games

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use 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 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}}

In this question, we have that:

p = 0.86, n = 100

So

\mu = 0.86, s = \sqrt{\frac{0.86*0.14}{100}} = 0.0347

What is the probability that less than 80% of this sample will devote work time to follow games?

This is the pvalue of Z when X = 0.8. So

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

By the Central Limit Theorem

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

Z = \frac{0.8 - 0.86}{0.0347}

Z = -1.73

Z = -1.73 has a pvalue of 0.0418

4.18% probability that less than 80% of this sample will devote work time to follow games

7 0
2 years ago
Whats the most accurate estimation of 65 77
Gwar [14]
Addition: 70 + 80 = 150.  You round 65 up because the ones digit is greater than and the same with 77.
Multiplication: Round up since both ones digits are bigger than 5.  70 x 80= 5600.
5 0
3 years ago
A Gardner is planting two types of trees
Nina [5.8K]

It will take 6 years for the trees to have same height.

Step-by-step explanation:

Type A tree;

Initial height = 9 feet

We will convert feet into inches because growth is in inches.

1 feet = 12 inches

9 feet = 12*9 = 108 inches

Growth rate = 6 inches per year

Let,

x be the number of years.

A(x) = 108 + 6x

Type B;

Initial height = 4 feet = 4*12 = 48 inches

Growth rate = 16 inches per year

B(x) = 48 + 16x

The height will be same, when functions are equal

A(x) = B(x)

108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60

Dividing both sides by 6

\frac{10x}{10}=\frac{60}{10}\\x=6

It will take 6 years for the trees to have same height.

Keywords: function, division

Learn more about division at:

  • brainly.com/question/3614284
  • brainly.com/question/3799248

#LearnwithBrainly

4 0
3 years ago
The shapes below are mathematically similar​
s2008m [1.1K]

Answer:

5 cm is the answer brochacho

7 0
2 years ago
Marge cut 16 pieces of tape for mounting pictures on poster board. Each piece of tape was 3/8 inch long. How much tape did Marge
mafiozo [28]
Hi! :)

It sounds like you need to multiply this fraction. 

\frac{3}{8}*16=6

So, Marge used 6 total inches of tape. 

Hope this helps!
5 0
3 years ago
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