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3 years ago

10

Allan ran 8 laps in 14 minutes. What is his time per lap?

2 answers:

Darina [25.2K]3 years ago

8 0

I believe you divide 14 by 8 to figure out his time per lap.

Arte-miy333 [17]3 years ago

8 0

1.75 is the time per Lap

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The product of 8 and b is less than or equal to 13

Ugo [173]

Answer:

1 or 0

Step-by-step explanation:

8 x b = 13

You can't divide 8 by two because that equals 16 so 8 x 1 is less than 8.

And 8 x 0 is 0

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3 years ago

Which is greater 20.903 or 2.209

goldenfox [79]

Answer:

20.903

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,

IrinaK [193]

Answer:

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

Step-by-step explanation:

We are given the following data in the question:

10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{225}{15} = 15$

Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128

$S.D = \sqrt{\dfrac{128}{14}} = 3.02$

Empirical rule:

According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
About 68% of data lies within one standard deviation of the mean.
About 95% of data lies within two standard deviations of mean.
Arround 99.7% of data lies within three standard deviation of mean.

Thus, by empirical rule,

$\mu \pm 1\sigma = 15\pm (3.02) = (11.98,18.02)$

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

5 0

2 years ago

What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

andre [41]

Answer:

The perimeter is 38.25 units

Step-by-step explanation:

The perimeter of the tra-pezoid is the distance around it.

The length of the bases can be found using the absolute value method.

|RS|=|20-14|=6 units.

|TQ|=|22-8|=14

Recall the distance formula;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We use the distance to find the non parallel sides.

$|ST|=\sqrt{(20-22)^2+(16-8)^2} =8.25$ units.

and

$|QR|=\sqrt{(8-14)^2+(16-8)^2} =10$ units.

The perimeter of the tra-pezoid is

=14+10+6+8.25=38.25

7 0

3 years ago

Read 2 more answers

You take out $50,000 for loans during your college career. You must pay it back with 7% APR for 20 years, making monthly payment

Ad libitum [116K]

Answer:

The monthly payment for the loan amount for 20 years is $806.167

Step-by-step explanation:

The principal loan amount= $ 50,000

The rate of interest = 7 %

the time period of loan = 20 years = 20 × 12 = 240 months

let the amount after 20 years = $ A

<u>From Compounded method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm Time}$

or, A = 50,000 × $(1+\dfrac{\textrm 7}{100})^{\textrm 20}$

or, A = 50,000 × $(1.07)^{20}$

Or, A = 50,000 × 3.8696

∴ Amount = $ 193,480

So, The amount after 20 years = $ 193,480

The monthly payment amount = $ $\frac{193480}{240}$ = $ 806.167

Hence The monthly payment for the loan amount for 20 years is $806.167 Answer

3 0

3 years ago