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3 years ago

5. Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more

Mathematics

1 answer:

Setler [38]3 years ago

5 0

Answer:

Step-by-stepc explanation:

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A random sample of 64 students at a university showed an average age of 20 years and a sample standard deviation of 4 years. The

adelina 88 [10]

Answer:

The 90% confidence level is $19.15< L < 20.85$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 64$

The mean age is $\= x = 20 \ years$

The standard deviation is $\sigma = 4 \ years$

Generally the degree of freedom for this data set is mathematically represented as

$df = n - 1$

substituting values

$df = 64 - 1$

$df = 63$

Given that the level of confidence is 90% the significance level is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha =$ 10 %

$\alpha = 0.10$

Now $\frac{\alpha }{2} = \frac{0.10}{2} = 0.05$

Since we are considering a on tail experiment

The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

$t_{df, \frac{ \alpha}{2} } = t_{63, 0.05 } = 1.669$

The margin for error is mathematically represented as

$MOE = t_{df , \frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

substituting values

$MOE = 1.699 * \frac{4 }{\sqrt{64} }$

$MOE = 0.85$

he 90% confidence interval for the true average age of all students in the university is evaluated as follows

$\= x - MOE < L < \= x + E$

substituting values

$20 - 0. 85 < L < 20 + 0.85$

$19.15< L < 20.85$

4 0

3 years ago

Tracy is running in a 5.25-kilometer race on Saturday. A marathon is approximately 42 kilometers. How many time as long as Tracy

Naddik [55]

Answer:

i needed points sorry

8 0

3 years ago

How do you find inverses

MrMuchimi

How To Find Inverses:

1. First, replace f(x) with y . ...

2. Replace every x with a y and replace every y with an x .

3. Solve the equation from Step 2 for y . ...

4. Replace y with f−1(x) f − 1 ( x ) . ...

5. Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

5 0

3 years ago

Read 2 more answers

Find the area of a triangle that has a base of 16 inches and a height of 5 inches.

sertanlavr [38]

You’d do 16x5 and that would give you 80in^2 your welcome! Hope this helps!

6 0

3 years ago

Multiply each pair of numbers -4.25x(-1.25)=

hoa [83]

The answer is 5.31245

7 0

3 years ago