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4 years ago

How can you model division by a mixed number?

1 answer:

4 0

Change each mixed number to an improper fraction.Multiply by the reciprocal of the divisor, simplifying if possible.Put answer in lowest terms.Check to be sure the answer makes sense.

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Find the minimum sample size needed to estimate the percentage of Democrats who have a sibling. Use a 0.1 margin of error, use a

Brums [2.3K]

Answer:

The minimum sample size is $n =135$

Step-by-step explanation:

From the question we are told that

The confidence interval is $( lower \ limit = \ 0.44,\ \ \ upper \ limit = \ 0.51)$

The margin of error is $E = 0.1$

Generally the sample proportion can be mathematically evaluated as

$\r p = \frac{ upper \ limit + lower \ limit }{2}$

$\r p = \frac{ 0.51 + 0.44}{2}$

$\r p = 0.475$

Given that the confidence level is 98% then the level of significance can be mathematically evaluated as

$\alpha = 100 - 98$

$\alpha = 2\%$

$\alpha =0.02$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is

$Z_{\frac{\alpha }{2} } = 2.33$

Generally the minimum sample size is evaluated as

$n =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p (1- \r p )$

$n =[ \frac { 2.33}{0.1} ]^2 * 0.475(1- 0.475 )$

$n =135$

6 0

4 years ago

A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks d

Nata [24]

Answer:

the answer is $8.29

Step-by-step explanation:

1.60 marked up by 60% in decimal form is .60

multiply that .60 by 1.60 and you get .64

you add .64 to 1.60 and you get 2.56

you multiply 2.56 by 3 and you get 7.68

you have a 8% sales tax so you multiply 0.08 by 7.68

you will get .61 you add that to 7.68 to get $8.29

4 0

3 years ago

Read 2 more answers

Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should

Dahasolnce [82]

Answer:

45 mph

Step-by-step explanation:

This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)

Let's keep track of what he does in the time allotted.

How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.

convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour

d = r*t

r = 30 km/hour

t = 1/12 hour

d = 30 km/hr * 1/12 hour = 2.5 km

Now she's about to start. She wants to catch him in 10 minutes

d = r*t

r = x mph

t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.

How far does he go in the 10 minute time?

d = 30 * 1/6 = 5 km

What is his total distance

5 km + 2.5 km = 7.5 km

Finally how fast does she need to go to catch him

d = 7.5 km

r = ? This is what you are trying to find

t = 1/6 of an hour

d = r*t

7.5 km = r * (1/6)hour divide by 1/6 hour

7.5 km // 1/6 hour = r

r = 7.5 * 6 = 45 mph

6 0

3 years ago

What is the slope of the line passing through the points (1, -5)and (4, 1)

Brums [2.3K]

Answer:

Step-by-step explanation:

The slope (m) can be found using the formula ...

m = ∆y/∆x = (y2 -y1)/(x2 -x1)

= (1 -(-5))/(4 -1) = 6/3

m = 2

The slope of the line is 2.

3 0

3 years ago

Which graph represents the function?

nydimaria [60]

Answer:

Top right graph.

Step-by-step explanation:

The graph of f(x) = x has a slope of 1, and is increasing to the right until the point where x = -1.

The graph of f(x) = -x has a slope of -1 decreasing to the right from the point where x = -1.

The clear small circle means that the point is not included in the function ( because of the '<' ).

The filled circle means it is included ( the '≥').

7 0

3 years ago