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kumpel [21]
4 years ago
6

Scott likes to run long distances. He can run 20 km in 85 minutes. He wants to know how many minutes (m) it will take him to run

52 km at the same pace.
Which proportion could Scott use to model this situation?
Please choose from one of the following options.

m/20=85/52

m/85=52/20

Solve the proportion to determine how long it will take Scott to run 52 km.
___ minutes
Mathematics
1 answer:
Nikolay [14]4 years ago
7 0
You wanna 
divide 85 and 52 
because he can run 20 KM in 85 min 
and he wants to see how long it takes him to run 52 KM
So the first one is correct
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Answer:

\large\boxed{B.\ a=8,\ b=4\sqrt5}

Step-by-step explanation:

We have three similar triangles:

\triangle ABC\sim\triangle DBA\sim\triangle DAC

therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{BD}{AD}

We have AD = a, CD = 16 and BD = 4. Substitute:

\dfrac{a}{16}=\dfrac{4}{a}              <em>cross multiply</em>

(a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8

and other proportion:

\dfrac{AB}{BC}=\dfrac{BD}{AB}

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:

\dfrac{b}{20}=\dfrac{4}{b}             <em>cross multiply</em>

(b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}

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C

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<span>12 is AT MOST a number n decreased by 7, thus 12≤n-7.</span>
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Find z0.755.
babunello [35]

Answer:

Option A is correct.

0.7734.

Step-by-step explanation:

Definition:  z-score indicates that how many standard deviations an element is from the mean.

It can be calculated from the following formula.

z = \frac{X-\mu}{\sigma}

where;  

z is the z-score,    

X is the value of the element,

\mu is the mean, and σ is the standard deviation.

To interprets z- score:

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Given:  z < 0.755

then,

to find the value of z, look up the standardize normal distribution to the left of a z-score.

we get

z = 0.7734

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