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miskamm [114]
3 years ago
10

"4(x - 4) - 4 = - 32" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
defon3 years ago
6 0
4( x - 4) -4= -32
4x - 16 - 4 = -32
4x - 20 = -32
4x - 20 + 20 = -32 + 20
4x = -12
4x/4 = -12/ 4
x = - 3

Check answer

4(-3 - 4) - 4 = -32
4 x -7 - 4 = -32
-28 - 4 = -32
-32 = -32
Leto [7]3 years ago
5 0
X= -7 I need 20 characters to answer
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A microscope has a setting that magnifies an object so that it appears 100 times as large when viewed through the eyepiece. If a
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The length of the insect in the final image is \boxed{9.5\text{ centimeter}}.

Further explanation:

In the question it is given that if an object is viewed under a microscope then the object appears 100 times large than its original size.

It is given that the length of a insect is 0.095 centimeter.

This question is based on the concept of multiplication of decimals.

Consider the length of the insect as x\text{ cm}.

Since, the length of insect is 0.095 centimeter so, trhe value of x is 0.095.

As per the question the size of the final image is 100 times large as the original size so, the size of final image is calculated as follows:

\boxed{S=x\times 100}

Substitute 0.095 for x in the above equation.

\boxed{\begin{aligned}S&=x\times 100\\&=0.095\times 100\\&=9.5\end{aligned}}

From the above calculation it is concluded that the length of the insect in the final image is 9.5\text{ centimeter}.

Therefore, the length of the insect in the final image is \boxed{9.5\text{ centimeter}}.

Learn more:

1. Learn more about numbers brainly.com/question/4736384

2. Learn more about scientific notation of numbers brainly.com/question/4736384

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Simplification

Keywords: Microscope, insect, cenimeter, magnifies, 0.095cm, 100 times, eyepiece, viewed, 9.5cm, simplification, multiplication, decimals, final image.

5 0
4 years ago
Read 2 more answers
Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).
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Step-by-step explanation:

y-y₁=m(x-x₁) 

1-(-4)=m(4-3)

5=m

5 0
3 years ago
What is the product of — 12 and 4?<br> O 48<br> O -16<br> O 16<br> O 48
PolarNik [594]

Answer:

-48

Step-by-step explanation:

A couple things to note:

  1. In math, product means multiply. So the question wants you to multiply -12 and 4.
  2. When you multiply two numbers, and one of them is negative, the entire problem is negative. If two of them are negative, the answer is positive. Basically, an odd number of negatives means the answer is negative, and an even number of negatives means the problem is positive.

Using both of those things, we can now just multiply 12 and 4 like normal, and then add the negative to get -48 :)

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In engineering and product design, it is important to consider the weights of people so that airplanes or elevators aren't overl
Sholpan [36]

Answer:

There is a 2.28% probability that the average weight of these 64 adult males is over 205 pounds.

Step-by-step explanation:

To solve this question, we have 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, a large sample size 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 = 197, \sigma = 32, n = 64, s = \frac{32}{\sqrt{64}} = 4

What is the probability that the average weight of these 64 adult males is over 205 pounds?

This is 1 subtracted by the pvalue of Z when X = 205.

So

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

Z = \frac{205 - 197}{4}

Z = 2

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There is a 2.28% probability that the average weight of these 64 adult males is over 205 pounds.

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