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Pepsi [2]
3 years ago
5

What is the unit rate of 144 miles on 4.5 gallons

Mathematics
2 answers:
Vinvika [58]3 years ago
3 0
Miles using 4.5 gallons = 144 miles
Miles using 1 gallon
(144 miles / 4.5 gallons)
32 miles / gallon
zubka84 [21]3 years ago
3 0
815 calories in 4 servings

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In a mathematics class, half of the students scored 52 on an achievement test. With the exception
natali 33 [55]

Answer:

C. The mean and the median are the same.

7 0
3 years ago
Solve the inequality and express your answer in interval notation. X^2-6x+7<0
kakasveta [241]

Answer:

15

Step-by-step explanation:

2×6=8

8+7 =15

2+7 =9

9

8 0
3 years ago
If t follows a t7 distribution, find t0 such that (a) p(|t | < t0) = .9 and (b) p(t > t0) = .05.
Thepotemich [5.8K]

Answer:

a) P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

b) For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case we know that t \sim t(df=7)

And we want to find:

Part a

P(|t|

We can rewrite the expression using properties for the absolute value like this:

P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

Part b

P(t>t_o) =0.05

For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

5 0
3 years ago
The specific gravity of a substance is the ratio of its weight to the weight of an equal volume of water. Kerosene weighs 0.82 g
netineya [11]

Answer:

The specific gravity of kerosene is 0.82

Step-by-step explanation:

Let

x -----> the weight in grams of a cubic centimeter of Kerosene

y ----> the weight in grams of a cubic centimeter of water

z ---> the specific gravity of a substance

so

z=\frac{x}{y}

we have

x=0.82\ g\\y=1\ g

substitute the values

z=\frac{0.82}{1}=0.82

8 0
3 years ago
Read 2 more answers
Find an equation for line perpendicular to 2x+6y=18 and goes through the point (8,-1)
bazaltina [42]

Answer:

3x +y = -2

Step-by-step explanation:

First of all, it is helpful to put the given equation in standard form. We can do that by dividing it by 2 to eliminate the common factor from the numbers.

 x -3y = 5

Next, since you want the perpendicular line, you can swap the coefficients of x and y, and negate one of them. This can give you ...

 3x +y = (some constant)

The constant will be found using the given point.

 3x +y = 3(2) +(-8) = -2 . . . the perpendicular line

An equation is ...

 3x +y = -2

8 0
2 years ago
Read 2 more answers
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