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Naddik [55]
2 years ago
7

Solve for x: 4 = (–8) +3x show your work

Mathematics
1 answer:
Triss [41]2 years ago
6 0
4 = (-8) + 3x

Firstly, you can rearrange the equation to make it easier to read:
3x - 8 = 4

Add 8 on both sides to isolate the x:
3x = 12

Divide both sides by 3:
x = 4

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natima [27]

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Step-by-step explanation:

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3 years ago
A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco
sammy [17]

Answer:

No, we can't reject the dealer's claim with a significance level of 0.05.

Step-by-step explanation:

We are given that a local car dealer claims that 25% of all cars in San Francisco are blue.

You take a random sample of 600 cars in San Francisco and find that 141 are blue.

<u><em>Let p = proportion of all cars in San Francisco who are blue</em></u>

SO, Null Hypothesis, H_0 : p = 25%   {means that 25% of all cars in San Francisco are blue}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of all cars in San Francisco who are blue is different from 25%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 600 cars in San Francisco who are blue =   \frac{141}{600} = 0.235

            n = sample of cars = 600

So, <u><em>test statistics</em></u>  =  \frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }

                               =  -0.866

<em>Now at 0.05 significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that 25% of all cars in San Francisco are blue which means the dealer's claim was correct.

4 0
3 years ago
The base of a triangle is x in. The area is 14 in2. What is the height of the triangle?
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D

Step-by-step explanation:

5 0
3 years ago
Please help me answer this &lt;3
ludmilkaskok [199]

Answer:

x = 30

Step-by-step explanation:

15 = 1/2x

multiply both sides of equation by 2

30 = x

3 0
2 years ago
Which pair of numbers have a greatest common factor of 2?
zlopas [31]
10 and 2.
GCF of 2 is 10 and 2?
7 0
2 years ago
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