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2 years ago

Sally plans to run 12 miles. She ran 5 1/8 miles and then stopped for a water break. How many miles does Sakky have left to run?

1 answer:

3 0

So,

We can just subtract the fractions without converting any denominators. To do that, we can split the subtraction problem up as follows:

12 - 5 - 1/8
7 - 1/8
6 7/8

Sally still has 6 7/8 or 6.875 miles to run.

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As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f

kondor19780726 [428]

Answer:

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 96-1 = 95$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{5.6}{\sqrt{96}} = 0.57$

Now, we multiply T and s

$M = T*s = 1.9855*0.57 = 1.31$

For the lower end of the interval, we subtract the mean by M. So $19.6 - 1.31 = 18.29$

For the upper end of the interval, we add the mean to M. So $19.6 + 1.31 = 20.91$

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0

3 years ago

When Sarah turned 18, she took $500 from her savings and opened a

Montano1993 [528]

The worth of Sarah's investment when she is 68 is $14,728.51.

<h3>What is the worth of the investment?</h3>

The formula that can be used to determine the worth of the investment is:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years = 68 - 18 = 50

$500 x (1.07)^50 = $14,728.51

To learn more about future value, please check: brainly.com/question/18760477

6 0

1 year ago

Use the number line. Enter the integer value that point D represents.

GenaCL600 [577]

Given:

A number line from -10 to 10 with 20 tick marks.

Point D is 1 tick mark to the left of 5.

To find:

The integer value that represents point D.

Solution:

A number line from -10 to 10 with 20 tick marks. It means, each mark represents the integer values from -10 to 10.

We know that, as we move towards left on a number line the value decreases and as we move towards right the value increases.

Point D is 1 tick mark to the left of 5. It means, point D represents the integer value which is 1 less than 5.

$5-1=4$

Therefore, point D represents the integer 4.

4 0

2 years ago

Please help!!!!! Pre algebra (8th grade math) 2 questions double the points!!! At least help me with one;( Very easy but I’m not

dusya [7]

Answer:

11.)

We can let the scores we don't know by x, and we know that tokay had 14 more points than Lodi. This can be shown as the following:

x + (x+14) = 162

2x+14=162

162-14= 148

148/2 = 74

Therefore Lodi scored 74 points.

12.)

We can substitute the prices we don't know by x and have the following:

4x+x=6.50

5x=6.50

6.50/5= 1.3

4x1.3= 5.2

Therefore the sandwich cost $5.20 and the drink costs $1.30

8 0

2 years ago

Read 2 more answers

Solve the system.

liraira [26]

Answer:

Option D is right,.

Step-by-step explanation:

-a+4b+2c=-8 ... i

3a+b-4c=9 ... ii

b=-1 ... iii

Substitute the value of b, in i and ii

-a-4+2c =-8 or -a+2c = -4

and 3a-1-4c = 9 or 3a -4c =8

Now we have two equations in two variables

-a+2c =-4 and 3a-4c =8

a = 2c+4: substitute this in the other equatin.

3(2c+4)-4c =8 Or 2c +12 =8

2c =-4 or c = -2

Substitute in -a+2c =12

-a-2 = -4

a = -2+4 =2

a=2, b=-1 and c =-1 is the solution.

6 0

2 years ago