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KonstantinChe [14]
3 years ago
12

Joe is 5 years older than sally. in 15 years joe will be 3 times as old as sally is now. how old is sally now

Mathematics
1 answer:
Harrizon [31]3 years ago
6 0
Right now sally is 10 years old. Hope this helps!
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A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of co
Bogdan [553]

Answer:

We conclude that the majority of people prefer the taste of fresh-brewed coffee.

Step-by-step explanation:

We are given that of the 50 subjects who participate in the study, 16 prefer the instant coffee.

We have to test the claim that a majority of people prefer the taste of fresh-brewed coffee.

<em />

<u><em>Let p = proportion of the population who prefer fresh-brewed coffee</em></u>

So, Null Hypothesis, H_0 : p \leq 50%     {means that the majority of people does not prefer the taste of fresh-brewed coffee}

Alternate Hypothesis, H_A : p > 50%     {means that the majority of people prefer the taste of fresh-brewed coffee}

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

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

where, \hat p = sample proportion who prefer fresh-brewed coffee = \frac{34}{50} = 0.68

            n = sample of subjects = 50

So, <u><em>test statistics</em></u>  =  \frac{0.68-0.50}{\sqrt{\frac{0.68(1-0.68)}{50} } }  

                               =  2.73

The value of z test statistics is 2.73.

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 2.73) = 1 - P(Z \leq 2.73)

                       = 1 - 0.99683 = 0.0032

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of 1.645 for right-tailed test.

<em>Since our test statistics is more than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the majority of people prefer the taste of fresh-brewed coffee.

4 0
3 years ago
If you help out can you please explain it so I can understand?
rjkz [21]
Simplify just means put together everything into one big thing. In this case that is just adding. To add a fraction and a decimal we have to convert the fraction into a decimal as well. The decimal form of 1/4 is 0.25, and as such, 3/4 is .75. This means we have -0.75+1.5. Adding a positive to a negative is the same thing as simply subtracting the first number from the second, or 1.5-0.75. This is .75. The answer is C.
8 0
2 years ago
If the height of a right triangle is 24 inches and the the area of the triangle is 120 square inches, what is the length of the
Rus_ich [418]
(120×2)/24 = 10inches
3 0
3 years ago
P and a are both prime numbers. Find the values of p and q so that 6*54*p/q is a perfect cube.
daser333 [38]

6x54= 324

6x50=300

6x4=24

300+24=324

The previous nearest cube root is 216 and the next cube root would be 343.

p/q could be any prime number which there are a lot of.

im going to say p is 1 and q is 3

next you would divide 1 by 3

1/3=0.666666667

324x0.666666667=216 exact

3 0
3 years ago
Help me please please help
Vilka [71]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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