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MaRussiya [10]
2 years ago
7

Helpenejiriehdisnsjsos​

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
8 0

Answer:

2 + \sqrt{3}

Step-by-step explanation:

\dfrac{1}{\sqrt{4} - \sqrt{3}} =

= \dfrac{1}{2 - \sqrt{3}}

= \dfrac{1}{2 - \sqrt{3}} \times \dfrac{2 + \sqrt{3}}{2 + \sqrt{3}}

= \dfrac{2 + \sqrt{3}}{(2 - \sqrt{3})(2 + \sqrt{3})}

= \dfrac{2 + \sqrt{3}}{4 - 3}

= \dfrac{2 + \sqrt{3}}{1}

= 2 + \sqrt{3}

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Consider H0: μ = 45 versus H1: μ < 45. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025 and
a_sh-v [17]
Given
H0: \ \mu=45 \\  \\ H1: \ \mu\ \textless \ 45
This is a one-tailed test.

z= \frac{41.8-45}{6/ \sqrt{25} } = \frac{-3.2}{6/5} = \frac{-3.2}{1.2} =-2.6667

P(z\ \textless \ -2.6667)=0.00383

Since the p-value of the sample statistic (0.00383) is less that the significant level (0.025), we reject the null hypothesis.
5 0
3 years ago
The perimeter of a rectangle is 30 in. if its lenth is 3 times the width, find the deminsions​
MAXImum [283]

Step-by-step explanation:

2w+3(2w)=30

8w=30

w=3.75

l=11.25

7 0
3 years ago
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tatuchka [14]
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7 0
3 years ago
A gardener wishes to plant plants in such a way that each row contains as many plants as the number of rows. He has 2624 plants.
vagabundo [1.1K]

Answer:

80

Step-by-step explanation:

we search for a square number so that rows*plantsInARow gives us the number

The number should be around 50², guessed

50² = 2500 (to low)

51² = 2601 (still to low)

52² = 2704 (bingo)

now to get from 2624 to 2704 plants he needs 80 more. That is the least number.

He could also go to plant 60² plants an than need slot more.

(would really appreciate the brainliest)

8 0
3 years ago
Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.
emmasim [6.3K]

Answer:

-1

Step-by-step explanation:

You are asked to solve this set by substitution. Note that the first equation defines

the value of y in terms of x. Therefore, you can use the right side of this equation

(2x + 3) as a substitution for y in the second equation. When you substitute 2x +3 for y

in the second equation, the result is:

.

2x + 3 = 4x + 7

.

Let's set the goal of getting all the terms that contain x isolated on the left side of

the equal sign and all the constants by themselves on the right side. Begin by getting rid

of the +3 on the left side by subtracting 3 from the left side. But if you subtract

3 from the left side you must also subtract 3 from the right side. These subtractions

result in the following sequence:

.

2x + 3 - 3 = 4x + 7 - 3

.

Combining numbers on the left side and on the right side simplifies the equation to:

.

2x = 4x + 4

.

Now, in a similar fashion, let's get rid of the 4x on the right side by subtracting

4x from the right side. When we do this subtraction, to keep the equation in balance

we must also subtract 4x from the left side. This results in:

.

 

2x - 4x = 4x - 4x + 4

.

On both sides of the equation combine terms containing x to get:

.

-2x = 4

.

Finally, solve for x by dividing both sides of the equation by -2 because -2 is the multiplier

of x. This results in:

.

x = 4/-2 = -2

.

So now that we know x = -2, we can return to either one of the original equations  

in the equation set and substitute -2 for x. Then we can solve for y. Let's return

to the first equation and substitute -2 for x. This begins with:

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y = 2x + 3

.

Then substituting -2 for x gives:

.

y = 2*(-2) + 3 = -4 + 3 = -1

7 0
3 years ago
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