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kati45 [8]
3 years ago
15

Decimal Numbers on Number Lines

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

What's Yo Question What Chu Need Help With ?

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Find the perimeter of the figure to the nearest hundredth. perimeter: about cm
nordsb [41]

The perimeter of the figure to the nearest hundredth is 50.26 cm.

<h3>Perimeter of a figure.</h3>

The perimeter of a figure is the sum of the whole sides of the figure.

The perimeter of the figure can be found as follows:

perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle

circumference of the semi circle  = πr

where

  • r = radius

perimeter of the figure = 22 + πr

perimeter of the figure = 22 + 3.14(9)

perimeter of the figure = 22 + 28.26

perimeter of the figure = 50.26 cm

learn more on perimeter here: brainly.com/question/11419989

#SPJ1

6 0
2 years ago
The average amount of water in randomly selected 16-ounce bottles of water is 16.15 ounces with a standard deviation of 0.45 oun
vekshin1

Answer:

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

Step-by-step explanation:

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

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.

In this question, we have that:

\mu = 16.15, \sigma = 0.45, n = 35, s = \frac{0.45}{\sqrt{35}} = 0.0761

What is the probability that the mean of this sample is less than 15.99 ounces of water?

This is the pvalue of Z when X = 15.99. So

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

By the Central Limit Theorem

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

Z = \frac{15.99 - 16.15}{0.0761}

Z = -2.1

Z = -2.1 has a pvalue of 0.0179

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

3 0
2 years ago
A=72 and c=75 solve b
Andrei [34K]

Answer:

b = 3 or -3 i suppose

Step-by-step explanation:

3 0
3 years ago
A company that manufactures cell phones has been given a quarterly operating budget of $1,176,912.42. The company's quarterly op
amm1812

Answer:

maximum is 16,853 cell phones

≤  18.853

Step-by-step explanation:

1,176,912.42.   per quarter budget

247,638.00    per quarter fixed cost

We subtract then divide the amount cost of phones and ensure its less or rounded down.

1,176,912.42 -247,638 = 929274.42

929274.42 / 55.14 = 16853

16,852 < m ≤ 16,853

6 0
2 years ago
A graph has a constant of proportionality of 2.54. Let y represent centimeters and x represent inches. What is the unit rate of
Helga [31]

Answer: 2.54 is the rate of the given equation.

Step-by-step explanation:

Let x is the independent variable and y is the dependent variable.

Since, By the definition of proportionality,

y = k x

Where k is the constant of proportionality.

And, Here k = 2.54

Thus, the equation of line is,

y = 2.54 x

since, rate of the equation is the slope of the line.

And, the general equation of line

y = m x +c

Where, m is the slope of the line.

By comparing the equation of line y = 2.54 x  with this.

The slope of the line = 2.54

Therefore, 2.54 is the rate of the given equation.



3 0
3 years ago
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