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stira [4]
4 years ago
9

At 5 p.m., boy 5 feet tall casts a shadow 14 feet long. What is the length of a shadow of something that is 25 feet high?

Mathematics
1 answer:
Dafna11 [192]4 years ago
5 0
Set up a proportion: 5/14=25/x and you know 25=5*5 so you do the same to the bottom 14*5=70 so the shadow of something 25 feet high is 70 feet long.

Answer: 70 feet
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A frequency table of grades has five classes (A, B, C, D,F) with frequencies of 4, 10, 17, 6, and respectively. Using percentage
fiasKO [112]

We have the frequencies for each of the grades. We can estimate the number of students graded by adding all those frequencies. Let's call N the total number of grades:

\begin{gathered} N=4+10+17+6+2 \\ N=39 \end{gathered}

We have then a total number of grades of 39.

The corresponding relative frequency for a grade is the ratio of the frequency to the total number of "samples", 39 in this case.

Then, for grade A, the relative frequency (RF) will be:

RF_A=\frac{4}{39}\approx0.10256\approx10.26\text{ \%}

This will be the fraction of the total grades that are A. Represented as a percentage will be 10.26%, rounded to two decimal places.

Now, to complete the table we do the same for the other frequencies:

For grade B:

RF_B=\frac{10}{39}\approx0.2564\approx25.64\text{ \%}

For grade C:

RF_C=\frac{17}{39}\approx0.4359\approx43.59\text{ \%}

For grade D:

RF_D=\frac{6}{39}\approx0.1538\approx15.38\text{ \%}

For grade F:

RF_D=\frac{2}{39}\approx0.0513\approx5.13\text{ \%}

4 0
1 year ago
Happy Monday Everybody<br><br><br> Free 100 points no joke
vlabodo [156]

Answer:

Thank you

Step-by-step explanation:

Have a great day :D

5 0
3 years ago
Read 2 more answers
Find the general term of the sequence<br>c.1 { 10, 5, 0, -5, -10 }<br>c.2 { 1, 4, 9, 16, 25 }​
Ivan

Answer:

1. 15 - 5n where n>=1

2. n² where n>=1

Step-by-step explanation:

1. {10, 5, 0, -5, -10} is an Arithmetic Progression

nth term is a + (n - 1)d

where a = first term, n= nth term, d= common difference.

a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))

Therefore, nth(General) term of the sequence:

= 10 + (n - 1)-5

= 10 + (-5n) + 5

= 10 + 5 - 5n

= 15 - 5n

Test:

if n = 1; 15 - 5(1) = 10

if n = 2; 15 - 5(2) = 5

if n = 3; 15 - 5(3) = 0 and so on.

2. {1, 4, 9, 16, 25}

The general term of the sequence is n²

Test:

if n = 1; 1² = 1

if n = 2; 2² = 4

if n = 3; 3² = 9 and so on.

5 0
3 years ago
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