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3 years ago

The expressions a(8x+7) and 4x+3.5 are equivalent. What is the value of a?

Mathematics

1 answer:

valentina_108 [34]3 years ago

4 0

Answer:

a=1/2

Step-by-step explanation:

From the question, the expression a(8x+7) is equivalent to 4x+3.5

Which means that multiplying 8x by a gives 4x and multiplying 7 by a gives 3.5

So, we can write the following to find the value of a

$a(8x+7)\equiv 4x+3.5$

we can write the following

8ax=4x

$\implies a=\frac{4x}{8x}= \frac{1}{2}$

Hence the value of a is 1/2

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The Paralyzed Veterans of America is a philanthropic organization that relies on contributions. They send free mailing labels an

lions [1.4K]

Answer:

Confidence interval: (0.04649,0.04913)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100,000

Number of people who donated, x = 4781

$\hat{p} = \dfrac{x}{n} = \dfrac{4781}{100000} = 0.04781
$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.04781
\pm 1.96(\sqrt{\dfrac{0.04781
(1-0.04781
)}{100000}})\\\\=0.04781
\pm 0.00132\\\\=(0.04649,0.04913)$

is the required 95% confidence interval for the true proportion of their entire mailing list who may donate.

3 0

2 years ago

the Spanish club is selling churros as a fundraiser. If its goal is to raise at least $150, how many churros must it sell at $1.

nekit [7.7K]

Let

x-------> the number of churros sold

we know that

$1.25x \geq 150$ -----> inequality that represent the situation

Solve for x

Divide by $1.25$ both sides

$x \geq 150/1.25$

$x \geq 120\ churros$

therefore

<u>the answer is</u>

The minimum number of churros that must be sold is $120$

4 0

3 years ago

Read 2 more answers

Find the distance between points (2,-9) and (-1,4) using the distance formula

defon

If you use the square root and put it in (-1-2)^2+(4--9)^2 it will equal = 13.34166406

8 0

3 years ago

In a recent NFL game, the Green Bay Packers scored 14 points less than the tennessee titans. Write and solve an equation to find

irakobra [83]

So the green bay packers scored 14 less so this means that the Tennessee titans must of had 14 more points than the green bay packers so this means that Tennessee titans had 14+14=28 points

6 0

3 years ago

Help I don't have a clue on what to do

katen-ka-za [31]

#18 Supplementary means two angles add up to 180 degrees. Angles JHF
#19. Complementary means two angles that add up to 90 degrees. Angles GHF
#20. Adjacent means two angles that have a common side and vortex that's why it does not work.

Hope this helps :)

7 0

3 years ago