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3 years ago

The odds against Carl beating his friend in a round of golf are 9:7. Find the probability that Carl will lose?

Mathematics

1 answer:

grandymaker [24]3 years ago

7 0

The ratio 9:7 gives you following statement:

Carl will win in 9 cases from 9+7=16;
Carl will lose in 7 cases from 16.

Then the probability that Carl will lose is

$Pr(\text{Carl will lose})=\dfrac{7}{16}.$

Answer: $Pr(\text{Carl will lose})=\dfrac{7}{16}.$

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What is 144.44 rounded to the nearest tenth?

Lunna [17]

144.4 is the answer when rounded of to the nearest tenth(1/10 or 0.1)

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3 years ago

Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

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3 years ago

-100/-20 multiplying integers

VLD [36.1K]

The answer is 20!

−100×(−20)=?
2000

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2 years ago

Solve for x. Show each step of the solution. 4.5(4 − x ) + 36 = 202 − 2.5(3x + 28)

Marrrta [24]

Answer:

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Step-by-step explanation:

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3 years ago

The bottom plzz help me

gladu [14]

The answer uses NMF for formatting, which you can find out about in my profile if needed:

the equation is this:
time = {total paid - 35}/{15}

Put in what we know:
time = {95 - 35}/{15}
time = {60}/{15}
time = 4 hours

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3 years ago