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V125BC [204]
3 years ago
15

Fill in the missing number or pattern

Mathematics
1 answer:
jasenka [17]3 years ago
8 0

Answer:

1. 12,14 2. 50, 54 3. 68, 50

Step-by-step explanation:

1. +2

2. +4

3. -6

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Mrs. Williams is deciding between two field trips for her class. The Science Center charges $135 plus $3 per student. The Dino D
Marianna [84]
Set it up like a regular equation. I used:
3x+135 \ \textless \  6x

As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>x \ \textgreater \  45

This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.
5 0
3 years ago
In diagram below, ab and bc are tangent to o. what is the measure of abc.
hichkok12 [17]

Check the picture below.

5 0
3 years ago
Read 2 more answers
"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean
Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

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 normally distributed samples are solved using 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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

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

By the Central Limit Theorem

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

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0
3 years ago
Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to
viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

[70-(\pi )x -x]

Length = [70-(1+\pi )x]/2

Total area =

area of rectangle + area of the semi-circle.

Total area =

x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2

When we square it we would have

70x +[(\pi /4)-(1+\pi)]x^2

This gives

70x - [3.3562]x^2

From here we divide by 2

35x - 1.6781x^2

The maximum side would be at

x = 35/2*1.6781

This gives us 20.8569

Read more on areas and dimensions here:

brainly.com/question/19819849

#SPJ1

7 0
2 years ago
How many are 8 raised to 3 ???​
goldfiish [28.3K]
512 hope it’s right
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3 years ago
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