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irina1246 [14]
2 years ago
7

What is the solution to the linear equation?

Mathematics
1 answer:
patriot [66]2 years ago
8 0
Equation:  2/5 + p = 4/5 + 3/5p

Simplify Both Sides:
p + 2/5 = 3/5p + 4/5

Subtract 3/5p from both sides:
p + 2/5 - 3/5p = 3/5p + 4/5 - 3/5p

2/5p + 2/5 = 4/5

Subtract 2/5 from both sides:
2/5p + 2/5 - 2/5 = 4/5 - 2/5

2/5p = 2/5

Multiply both sides by 5/2

(5/2) * (2/5p) = (5/2) * (2/5)

p  =  1


Answer:  p  =  1





Hope that helps!!! (Answer:   Letter Choice (A),  p  =  1







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Data is collected to perform the following the hypothesis test:
nekit [7.7K]

Answer:

option f is right

Step-by-step explanation:

Given that data is collected to perform the following hypothesis test.

H_0: \mu = 5.5\\H_a: \mu >5.5

(right tailed test)

Sample mean = 5.4

p value = 0.1034

when p value = 0.1034 we normally accept null hypothesis.  i.e chances of null hypothesis true is  the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct

f) If the mean µ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.

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5 0
3 years ago
The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.
Karolina [17]

Using the Pythagorean theorem:

Hypotenuse = sqrt( 20^2 + 15^2)

Hypotenuse = sqrt( 400 + 225)

Hypotenuse = sqrt(625)

Hypotenuse = 25

Answer: 25 inches

8 0
3 years ago
Read 2 more answers
Jerome spent $20 on supplies to make 50 cookies for a bake sale. Write and solve an inequality to find the price that Jerome sho
Semenov [28]

Answer:

Each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.

Step-by-step explanation:

The amount spent on supplies is $20.

The number of cookies baked is = 50.

If the profit to be made is more than $25.00 .

Then we can safely say that all the cookies have to be sold for

= $20.00 + $25.00

= $45.00

Therefor the required inequality can be written as

50 x ≥ $45.00            ⇒       x   ≥   \frac{45.00}{50}            ⇒      x   ≥  $0.90.

Therefore we can say that each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.

7 0
3 years ago
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kvv77 [185]

Answer:

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Step-by-step explanation:

hopefully you can get it ;)

3 0
3 years ago
Show that p(x)=2x3−5x2−10x+5 has a real root.
FromTheMoon [43]
Let's pick an arbitrary value of 5.

P(5) = 2(5)^{3} - 5(5)^{2} - 10(5) + 5
= 2(125) - 125 - 50 + 5
= 250 - 125 - 50 + 5
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Let's pick another arbitrary value: 1

P(1) = 2 - 5 - 10 + 5
= -8 < 0

Between these two values, the polynomial is continuous. This means for the two polynomial points to be satisfied, there must be at least one root between these two points.

We can either use the Intermediate Value Theorem or Newton's method to make a better approximation from there.
6 0
3 years ago
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