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3 years ago

Each lap of the track at Oak Middle School is 1/4 of a mile. Jacob jogged around the track and completed 9 laps in 30 minutes.

1 answer:

4 0

<span>Figure out what distance was walked if he walked 7 laps at 1/4 mile each (7/4 of a mile). Divide that by the 30 minutes and then convert that to miles per hour.
</span>Hope this helps :)

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Find the unit rate. round to the nearest hundred if necessary

Lina20 [59]

360÷60=60 60 miles per hour 6840÷45=152 152 costumes per day 45.5÷13=3.5 rounded to nearest hundred= 4 4 meters per second $7.40<span>÷5=$1.48 rounded to nearest hundred = 1 $1 per pound</span>

3 0

3 years ago

Find the values of the 30th and 90th percentiles of the data. Please show your work.

MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= $100,100,105,113,129,132,146,176,200$

The 30th percentile is located at

$(\frac{30}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = $\frac{105+113}{2}=\frac{218}{2}=109$

The 90th percentile is located at

$(\frac{90}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = $\frac{176+200}{2}=\frac{376}{2}=188$

6 0

3 years ago

A and B share the cost in a ratio of 3:2. A pays £125 how much does b pay?

german

Hello!
3 + 2 = 5
125 divided by 5 = 25
25 x 3:2 = 2
25 x 2 = 50

5 0

3 years ago

Read 2 more answers

Can someone help me solve these three problems please??

Tasya [4]

I'll solve 21, and you then should be able to solve the rest on your own!

Since ADC is 135, that means that that whole angle is 135 degrees. In addition, since angles ADB and BDC add up to ADC, we get ADB+BDC=ADC=135=11x+9+7x=18x+9. Subtracting 9 from both sides, we get 126=18x. Dividing both sides by 18, we get x=7. Plugging that into 11x+9=BDC, we get 11*7+9=77+9=86

4 0

3 years ago

Solve the Equation p+5/8=15/16?

Sphinxa [80]

So the first thing you want to do when faced with two fractions with different denominators (when subtracting or adding) is to make the denominators the same. So for this equation they would turn out to be p+10/16=15/16 (because 16 is the lowest common denominator, 8 times two) so then you want to subtract 10/16 from 15/16 to isolate the variable (p) which would get:
p=5/16
This is the final answer because it cannot be simplified.
Hope this helps!

6 0

3 years ago