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Amanda [17]
4 years ago
10

Solve the equation. |x + 7|= 12

Mathematics
2 answers:
qaws [65]4 years ago
7 0
X+7=12
x=5
x+7=-12
x=-19
hope this helps!
grandymaker [24]4 years ago
7 0

If |x + 7| = 12

That means x + 7 either equals 12 or -12. So, you solve for both cases.

x + 7 = 12

Subtract 7 from both sides.

x = 5

---

x + 7 = -12

Subtract 7 from both sides.

x = -19

So, x can be 5 or -19.

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3 years ago
Find the measure of each angle :Supplementary angles with measures (2x+4) and (3x+1)
denpristay [2]
First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
=74°

(3x+1)
=3x+1
=3(35)+1
=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
4 0
3 years ago
Read 2 more answers
What is a prime expression?
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A prime expression is a math term. It is a expression that can't be divided by anything other than a 1. 
6 0
4 years ago
The table below compares the cost of living in New York and Los Angles, with the number representing percentages of national ave
frosja888 [35]

Answer:

The correct option for the answer is C.) $3.29 / $2.96

Step-by-step explanation:

i) national average for a gallon of gas = $2.74

ii) for transportation New York is 1.2 times the National average

   therefore one gallon of gas in New York will cost = 1.2  $2.74 = $3.29

iii)for transportation Los Angeles is 1.08 times the National average

   therefore one gallon of gas in New York will cost = 1.08  $2.74 = $2.96

Therefore you should expect to pay for gas in New York versus Los Angeles C.) $3.29 / $2.96

4 0
3 years ago
According to Inc, 79% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the
Fynjy0 [20]

Answer:

Null hypothesis:p\leq 0.79  

Alternative hypothesis:p > 0.79  

z=\frac{0.849 -0.79}{\sqrt{\frac{0.79(1-0.79)}{370}}}=2.786  

p_v =P(z>2.786)=0.00267  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the true proportion is higher than 0.79.  

Step-by-step explanation:

1) Data given and notation

n=750 represent the random sample taken

X=314 represent the respondents that use social media in their job search.

\hat p=\frac{314}{370}=0.849 estimated proportion of respondents that use social media in their job search

p_o=0.79 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)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is hgiher than 0.79.:  

Null hypothesis:p\leq 0.79  

Alternative hypothesis:p > 0.79  

When we conduct a proportion test we need to use the z statisticc, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

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

z=\frac{0.849 -0.79}{\sqrt{\frac{0.79(1-0.79)}{370}}}=2.786  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

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

Since is a right tailed test the p value would be:  

p_v =P(z>2.786)=0.00267  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the true proportion is higher than 0.79.  

7 0
3 years ago
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