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asambeis [7]
3 years ago
14

PLEASE HELP h(3) = 5x2^-x , Evaluate the function h (3)

Mathematics
1 answer:
Ksju [112]3 years ago
6 0
H (x) = 5 x 2^-x

2^-x is the same as saying 1/2^x .

h (x) = 5 x 1/2^x

h (3) = 5 x 1/2^3
= 5 x 1/8
= 5/8

Therefore h (3) = 5/8
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Two gubernatorial aspirants amp in two different states in Nigeria have probabilities of 2/9 and 4/11 respectively of winning an
allsm [11]

Probability of First = 2/9

Probability of Second = 4/11

Probability of both winning = 2/9 + 4/11

= 22/99 + 36/99

= 58/99

Answer is 58/99 probability of them both winning

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8 0
2 years ago
Solve a=9y+3xy for y
Sauron [17]

Answer:

y=a/(9+3x)

Step-by-step explanation:

Reverse: 9y+3xy=a

y(9+3x)=a

y=a/(9+3x)

4 0
3 years ago
Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably
USPshnik [31]

Answer:

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given  

n=297 represent the random sample of male taken

X=183 represent the  men who said yes, they had driven a car when they probably had too much alcohol

\hat p=\frac{183}{297}=0.616 estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

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

After replace we got:

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

z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998  

Decision

We have a right tailed test so then the p value would be:  

p_v =2*P(z>3.998)=0.0000639  

With the most common significance levels used \alpha= 0.1, 0.05, 0.01 we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0
3 years ago
What is the slope line through (-9,-6) and (3,-9)?
chubhunter [2.5K]

Answer:

-1/4

Step-by-step explanation:

We can find the slope of the line given two points

m = (y2-y1)/(x2-x1)

   = (-9- -6)/(3- -9)

   = (-9+6)/(3+9)

    =-3/12

    = -1/4

8 0
3 years ago
Which answer describes the transformation of f(x)=x2−1 to g(x)=(x+2)2−1 ?
notsponge [240]
That would be the second choice. Translation of 2 to the left
4 0
2 years ago
Read 2 more answers
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