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3 years ago

I need help on this one please help! (listing BRAINLIST and giving points) :D

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Answer:

Step-by-step explanation:

The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.

All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.

The side proportions are the same.

x/2.5 = 6/7.5

solve for x:

7.5x = 15

x = 2

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3x+8=35 Show your work

ella [17]

Answer:

x=9

Step-by-step explanation:

So first subtract 8 on both Sides

3x+8-8=35-8

3x=27

Now divide 3 on both sides to isolate the variable x

x=9

So x=9

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3 years ago

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Simplify the expression 7x/9x

pantera1 [17]

7x/9x = 7/9

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3 years ago

A line has a slope of 1 and passes through the point (7,5). What is its equation in

GrogVix [38]

Answer:

$y=x-2$

Step-by-step explanation:

Slope-intercept form is $y=mx+b$ , so if $m=1$ , then we have $y=x+b$ and we'll need to plug in $(7,5)$ to get $b$ , the y-intercept:

$y=x+b$

$5=7+b$

$-2=b$

Therefore, the final equation in slope-intercept form is $y=x-2$

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2 years ago

What is the product of 2x+3 and 4x^2-5x+6 .

stira [4]

Answer:

Explanation:

We have:

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(

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(

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(

−

)

−

(

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(

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(

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(

)

(

)

(

−

)

−

(

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(

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And now we add them all up (I'm going to group terms in the adding):

−

And now simplify:

−

18Step-by-step explanation:

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2 years ago

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305$