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Irina18 [472]
3 years ago
6

How do you solve this equation? 4 - 2x| + 5 = 9

Mathematics
1 answer:
Savatey [412]3 years ago
7 0

Answer:

x=−2

Step-by-step explanation:

−2x+5−5=9−5

−2x=4

-2x/-2 = 4/-2

x=−2

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Rewrite the equation below to express the cost (c) as a function of miles (m). The charge for a rental car is $20 plus $0.05 per
Alja [10]
The answer is 
c(m) = $20 + $0.05m
5 0
3 years ago
Suck at fractions and simplifying
galina1969 [7]

Answer:

7

Step-by-step explanation:

2(3) + 6²/6

Multiply 2x3 and 6² is just multiplying 6x6

6+36/6

Add 6+36

42/6

Divide 42 by 6

7

8 0
2 years ago
Read 2 more answers
in a program designed to help patients stop smoking 232 patients were given sustained care and 84.9% of them were no longer smok
grandymaker [24]

Answer:

z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869  

p_v =2*P(Z>1.869)=0.0616  

If we compare the p value obtained and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults were no longer smoking after one month is not significantly different from 0.8 or 80% .  

Step-by-step explanation:

1) Data given and notation

n=232 represent the random sample taken

X represent the adults were no longer smoking after one month

\hat p=0.849 estimated proportion of adults were no longer smoking after one month

p_o=0.80 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 0.8.:  

Null hypothesis:p=0.8  

Alternative hypothesis:p \neq 0.8  

When we conduct a proportion test we need to use the z statistic, 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 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869  

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 bilateral test the p value would be:  

p_v =2*P(Z>1.869)=0.0616  

If we compare the p value obtained and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults were no longer smoking after one month is not significantly different from 0.8 or 80% .  

6 0
3 years ago
How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?
Novosadov [1.4K]

Step-by-step explanation:

It is shifted down 2 units.

7 0
3 years ago
Read 2 more answers
The world's tallest building is the Burj Khalifa in Dubai at 828 m tall. The CN Tower in Toronto is 553 m tall. Ryan wants to co
Taya2010 [7]

Answer:

Volume of Burj Khalifa Prism = 4000 cm^2

Volume of CN Tower Prism = 2671 cm^2

Step-by-step explanation:

Given

Height of Burj Khalifa = 828 m

Height of CN Tower in Toronto = 553 m

Base of rectangular prism is a square with sides <em>10 cm </em>\times<em> 10 cm</em>.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

\Rightarrow 553 m is represented as \frac{40}{828 } \times 553 = 26.71\ cm

So, height of rectangular prism of CN Tower = 26.71 cm

Volume of a Prism is given by the Formula:

V=Area\ of\ Base \times Height

Base is a square, so Area of base = Side^2

Volume of Burj Khalifa Prism:

V_B=10^2 \times 40 = 4000\ cm^2

Volume of CN Tower Prism:

V_C=10^2 \times 26.71 = 2671\ cm^2

So, the answer is:

Volume of Burj Khalifa Prism = <em>4000</em> cm^2

Volume of CN Tower Prism = <em>2671 </em>cm^2

4 0
3 years ago
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