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elixir [45]
3 years ago
15

Which of the following is equal to 3m – 4n+5m+3n

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer: 8m-1n

Step-by-step explanation:

add 3m + 5m to get 8m

-4n+3n is -1n

thus the answer being 8m-1n

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The owner of a construction company would like to know if his current work teams can build room additions quicker than the time
frez [133]

Answer:

The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.

Step-by-step explanation:

We have to test the hypothesis to prove the claim that the work team can build room additions quicker than the time allotted for by the contract.

The null hypothesis is that the real time used is equal to the contract time. The alternative hypothesis is that the real time is less thant the allotted for by the contract.

H_0: \mu=0\\\\H_1: \mu

The significance level, as a storng evidence is needed, is α=0.01.

The estimated standard deviation is:

s_M=\frac{s}{\sqrt{n}}=\frac{0.2}{\sqrt{16}} =0.2/4=0.05

As the standard deviation is estimated, we use the t-statistic with (n-1)=15 degrees of freedom.

For a significance level of 0.01, right-tailed test, the critical value of t is t=2.603.

Then, we calculate the t-value for this sample:

t=\frac{x-\mu}{s_M} =\frac{-0.32-0}{0.05}= -6.4

As the t-statistic lies in the rejection region, the null hypothesis is rejected. The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.

8 0
3 years ago
2. To go to the next level in a certain video game, you must score at least 50 points. You currently have
Montano1993 [528]

Answer:

50 < 40 -5 + p

50 < 35 + p

-35    -35 + p

15 < p

p < 15

At least 15 points.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The terminal side of Ø is in quadrant II and cos ø = -5/13 What is sin ø?
Sliva [168]

the value of sin ∅ is 12/ 13

<h3>Quadrants and the "cast" Rule:</h3>
  • In the first quadrant, the values for sin, cos, and tan are positive.
  • In the second quadrant, the values for sin are positive only.
  • In the third quadrant, the values for tan are positive only.
  • In the fourth quadrant, the values for cos are positive only.

From the given question,

We have,  cos ∅= 5/13

From the trigonometric identities, we have that

sin^2\alpha  + cos^2\alpha  = 1

Then , let's substitute the value of cos ∅

sin^2\alpha +(\frac{-5}{13} )^2 = 1

Let make sin the subject of formula and find the squares of the fraction

sin²∅ = 1 - \frac{25}{169}

Find the LCM

sin²∅ = \frac{169 - 25}{169}

Find the difference

sin²∅ = \frac{144}{169}

Find the square root

sin∅ = \sqrt{\frac{144}{159} }

sin∅ = \frac{12}{13}

In quadrant II , sin is positive, so we have

sin ∅ = 12/ 13

Thus, the value of sin ∅ is 12/ 13

Learn more about quadrant  here:

brainly.com/question/863849

#SPJ1

7 0
1 year ago
Mike is 3 years old.joe is 6 times as old as mike whict equation shows how to find Joe's age?
xxTIMURxx [149]

Answer:

3x6=18

Step-by-step explanation:

3x6=18

6 times as old is the same as saying TIMES by 6 :)

3 0
3 years ago
Can someone help me with these?
ExtremeBDS [4]

Answer: You need to show us the graph for us to answer but the y intercept is where the line is on the vertical axis (Y)

Step-by-step explanation:

6 0
3 years ago
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