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nika2105 [10]
2 years ago
15

Solve the equation.

Mathematics
2 answers:
riadik2000 [5.3K]2 years ago
3 0
Answer:

e = 21
Step-by-step explanation:


e/3 = 7
e = 7 * 3
e = 21
nadezda [96]2 years ago
3 0

Answer:

\huge\boxed{\sf e =21}

Step-by-step explanation:

<u>Given equation:</u>

\displaystyle \frac{e}{3} = 7\\\\Multiply \ both \ sides \ by \ 3\\\\e = 7 \times 3\\\\e = 21\\\\\rule[225]{224}{2}

Hope this helped!

<h3>~AH1807</h3>
You might be interested in
An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 42 and σ = 5.5.
alexandr1967 [171]

Answer:

a)P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

b) For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(42,25.5)  

Where \mu=42 and \sigma=5.5

And we want this probability:

P( X

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

8 0
2 years ago
Sacha has 4 quarters in her pocket.she has 6 timés as many quarters in her piggy Bank. 
marin [14]
So 4X6=24 so i think the answer is 24 
6 0
3 years ago
Mandvil has one standard quarter and one special quarter with a Head on both sides. He selects one of these two coins at random,
Lana71 [14]

The probability that he selected the special quarter is 87.5%.

<h3><u /></h3><h3><u>Probability</u></h3>

Given that Mandvil has one standard quarter and one special quarter with a Head on both sides, and he selects one of these two coins at random, and without looking at it first, he flips the coin three times, to determine, if he flips a Head three straight times, what is the probability that he selected the special quarter, the following calculation must be made:

  • 1 - (standard quarter) = X
  • 1 - (0.50^3) = X
  • 1 - 0.125 = X
  • 0.875 = X
  • 0.875 x 100 = 87.5

Therefore, the probability that he selected the special quarter is 87.5%.

Learn more about probability in brainly.com/question/24217562

3 0
2 years ago
!!!PLEASE HELPP ME!!
Annette [7]

Answer:

negative :)

Step-by-step explanation:

hope this helps

6 0
2 years ago
Read 2 more answers
Solve, using linear combination. 11x + 4y = 18 3x + 4y = 2
antoniya [11.8K]
11x + 4y = 18
3x + 4y = 2.....multiply by -1
----------------
11x + 4y = 18
-3x - 4y = -2 (result of multiplying by -1)
---------------add
8x = 16
x = 16/8
x = 2

3x + 4y = 2
3(2) + 4y = 2
6 + 4y = 2
4y = 2 - 6
4y = -4
y = -4/4
y = -1

solution is : (2,-1)
8 0
3 years ago
Read 2 more answers
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