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3 years ago

Multiply it by 2, add 50 & my answer is 74, what was my number

2 answers:

6 0

your number was 12.

let x be the number:

(x * 2) + 50 = 74

To solve for x, we need to reverse what was done to get the answer of 74.

Since 50 was added to arrive at 74, we deduct 50 from 74.

74 - 50 = 24

We then divide 24 by 2 to get the original number.

24/2 = 12.

Your number was 12.

To check:
(12 * 2) + 50 = 74
24 + 50 = 74
74 = 74

Brilliant_brown [7]3 years ago

4 0

74 - 50 = 24
24 / 2 = 12
12 * 2 + 50 = 74
Hope this helped :)

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The government of Preon (a small island nation) was voted in at the last election with 58% of the votes. That was 2 years ago, a

mel-nik [20]

Answer:

a) $z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250$

b) $p_v =2*P(z>2.250)=0.0244$

If we compare the p value and the significance level given we see that $p_v$ we have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Data given and notation

n=114 represent the random sample taken

$\hat p=0.684$ estimated proportion of people that their approval rating might have changed

$p_o=0.58$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Hypothesis

We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:

Null hypothesis: $p=0.58$

Alternative hypothesis: $p \neq 0.58$

Part a

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250$

Part b: Statistical decision

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.250)=0.0244$

If we compare the p value and the significance level given we see that $p_v$ we have enough evidence to reject the null hypothesis at 5% of significance.

7 0

3 years ago

The vertices of a parallelogram are shown below.

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The vertices for the dilated image can be found by multiplying the coordinates of the original image by the scale factor. In this problem, the scale factor is 1/3.

(0,0) ⇒ 0 x 1/3 = 0 ; 0 x 1/3 = 0 ⇒ (0,0)
(27,0) ⇒ 27 x 1/3 = 9 ; 0 x 1/3 = 0 ⇒ (9,0)
(36,30) ⇒36 x 1/3 = 12 ; 30 x 1/3 = 10 ⇒ (12,10)
(9,30) ⇒ 9 x 1/3 = 3 ; 30 x 1/3 = 10 ⇒ (3,10)

Answer is choice D. (3,10)

4 0

3 years ago

The primeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Write and solve an equation to ind

lys-0071 [83]

The perimeter is the total of adding all of the sides together. A rectangle has 2 lengths and 2 widths. The equation would be:

P = 2l + 2w or P = l + l + w + w

Since you know the perimeter, you can plug it into the equation

53 = 2l + 2w

You can divide the 2 on both sides

26.5 = l + w

l = w + 2.3 because the length is 2.3 meters longer/more than the width. You can substitute (w + 2.3) for "l" in the equation. So instead of:

26.5 = l + w

It will be:

26.5 = (w + 2.3) + w

26.5 = w + 2.3 + w

Subtract 2.3 on both sides

24.3 = w + w

24.3 = 2w

Divide 2 on both sides

12.1 = w

The width is 12.1 meters

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3 years ago

Describe the value of the 9 in 926,415.

NeTakaya

900,000 because that is where the value of 9 is placed in the number.

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3 years ago

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Six more than eight times a number equals thirty. what is that number?

kkurt [141]

6 + 8x = 30
Problem written out
8x = 24
Subtracted 6 to get 8x alone
x = 3
Divided 8 to get your answer!

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3 years ago

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