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prohojiy [21]
3 years ago
11

a lamppost casts a shadow that is 24 feet long. Tad,who is 6 feet tall, is standing directly next to the lamppost. His shadow is

15 feet long. How tall is the lamppost?
Mathematics
1 answer:
Fantom [35]3 years ago
7 0

The lamppost and Tad create similar right triangles. Set up a proportion comparing their equivalent sides.


\frac{lamppost height}{lamppost shadow}= \frac{tad height}{tad shadow}


\frac{x}{24} = \frac{6}{15}


Crossmultiply to solve.


24*6 = 15*x

144 = 15x

x = 9.6 feet



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Answer:

A 90% confidence interval to estimate the mean DRP score in Henrico County Schools  is =32±2.7280

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Step-by-step explanation:

Given:

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To Find:

90 % confidence interval and conclusion on it.

Solution:

Here for C.I. we required mean, standard deviation and no of students.

So mean =32,S.D.=11 and n=44

Therefore , For 90 % interval Zscore is Z=1.645

C.I.=mean±Z[Standard  deviation/Sqrt(n)]

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Now Here to commit on calculated interval we should check  value of Z-score

So we need to calculate the sample mean.

Sample mean =Sum of all values /Total no of values.

=[40+ 26 +39+ 14+ 42+ 18 +25+ 43+ 46 +27 +19+ 47+ 19 +26+ 35 +34+ 15+ 44 40+ 38+ 31+ 46 +52 +25+ 35 +35+ 33 +29 +34 +41 +49+ 28+ 42+ 47 +35 +48 +22 33+ 41 +51 +27 +14+ 54 +45]/44

=34.86

Z-score=(sample mean -true mean)/[standard deviation/Sqrt(n)]

=(34.86-32)/[11/Sqrt(44)]

Z=1.72465

For ,

P(Z≥1.72465)=0.08544

For 0.05 significance level  the results are not significant at  p<0.01.

Researcher claimed mean is not correct upto 0.05 significant level

i.e calculated mean and Sample mean are different.

Hence the results are not significant.

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gavmur [86]

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

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Dividing both sides by 2:

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We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

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