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GuDViN [60]
2 years ago
13

3/5x + 5 = 4/5solve for x​

Mathematics
1 answer:
Marysya12 [62]2 years ago
7 0

Answer: x= -7

Step-by-step explanation:

3x/5 + 5 = 4/5

Put the fractions in 3x/5 +5 over a common denomintator.

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Heated-treated parts are specified to have a hardness of at least 45 (lower specification limit). Any parts that are below 45 ar
Nataly_w [17]

Answer:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

The figure shows the calculation for this case.

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".  

Solution to the problem

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

X \sim N(48.5,2)  

Where \mu=48.5 and \sigma=2

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(z

The figure shows the calculation for this case.

5 0
3 years ago
A bag contains 5 red marbles, 6 blue marbles and 9 yellow marbles.
lilavasa [31]

Answer:

Step-by-step explanation:

The total number of marbles is 20

Question A

P(Red) = 4/20 = 1/5

P(yellow) = 9/20

P(Red then Yellow) = 1/5 * 9/20 = 9 / 100

Question B

P(B) = 6/20

P(B again) = 5/19 because you  have 1 less total plus 1 less blue.

P(B and B) = 6/20 * 5/19

P(B and B) = 30/ 380 = 3/38

7 0
3 years ago
Find the missing side of the triangle
Leona [35]

Answer:

A

Step-by-step explanation:

Using Pythagoras theorem, we have

x^2+11^2=15^2, x^2=104, x=2*sqrt(26)

6 0
2 years ago
(x1,y1) is (-4,-2) and (x2,y2) is (2,4)
olga nikolaevna [1]

Answer:

y = x+2

Step-by-step explanation:

(x1,y1) is (-4,-2) and (x2,y2) is (2,4)

Slope intercept form is y = mx+b

m = slope

b = add on

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substitute numbers

Slope = \frac{4-(-2)}{2-(-4)}

Two negatives = one positive

Simplify

Slope = \frac{4+2}{2+4}=\frac{6}{6}=1

The slope is 1

We can substitute y, x, and the slope

4 = 2*1 + b

4 = 2+b

b = 2

Slope intercept form is y = mx+b

Answer is y = x+2

Hope this helps :)

6 0
2 years ago
In A 4 year period, About 80,000 acres of coastal wetlands in United States are lost each year. what integer represents the tota
mixer [17]

we are given

In A 4 year period, About 80,000 acres of coastal wetlands in United States are lost each year.

so, total area =80000 acres

total time = 4 years

now, we can use formula

total change in wetlands = ( total area)/(total time)

now, we can plug values

total change in wetlands is

=\frac{80000}{4} acre/year

=20000 acre/year................Answer


3 0
3 years ago
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