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2 years ago

8

Race drivers must complete 200 laps in the Daytona 500. if Ticky Bobby only completed 57% of the race, how many laps did he co

mplete?

1 answer:

Nat2105 [25]2 years ago

6 0

Answer:

<u>114 laps</u>

Step-by-step explanation:

Multiply 200 x 57% :

200 x 57%
200 x 57/100
2 x 57
<u>114 laps</u>

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0.56 as a percent is 56%.

Multiply 0.56 times 100 to get 56%.

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In triangle abc shown below side ab is 6 and side ac is 4

kaheart [24]

Question is Incomplete, Complete question is given below:

In Triangle ABC shown below, side AB is 6 and side AC is 4.

Which statement is needed to prove that segment DE is parallel to segment BC and half its length?

Answer

Segment AD is 3 and segment AE is 2.

Segment AD is 3 and segment AE is 4.

Segment AD is 12 and segment AE is 4.

Segment AD is 12 and segment AE is 8.

Answer:

Segment AD is 3 and segment AE is 2.

Step-by-step explanation:

Given:

side AB = 6

side AC = 4

Now we need to prove that segment DE is parallel to segment BC and half its length.

Solution:

Now AD + DB = AB also AE + EC = AC

DB = AB - AD also EC = AC - AE

Now we take first option Segment AD is 3 and segment AE is 2.

Substituting we get;

DB = 6-3 = 3 also EC = 4-2 =2

From above we can say that;

AD = DB and EC = AE

So we can say that segment DE bisects Segment AB and AC equally.

Hence From Midpoint theorem which states that;

"The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side."

Hence Proved.

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3 years ago

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Vesnalui [34]

Answer:

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Step-by-step explanation:

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2 years ago

Share £40 in the ratio 1:4 between Tim and Sam

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 1.2$

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

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