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shepuryov [24]
3 years ago
6

According to a college survey, 55% of all students work full time. Find the standard deviation for the number of students who wo

rk full time in samples of size 284 (rounded to the nearest hundredth).
Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

Answer:

The standard deviation for the number of students who work full time = 8.38

Step-by-step explanation:

Given data

Sample size n = 284

No. of students work full time is  P = 55 % = 0.55

No. of students who not work full time is Q = 100- 55 % = 45 % = 0.45

The standard deviation is given by

S.D. = \sqrt{nPQ}

Put all the values in above equation we get

S.D. = \sqrt{(284)(0.55)(0.45)}

S.D. = 8.38

This is the standard deviation for the number of students who work full time.

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paloma eats 2/8 of an apple in the morning and 3/8 more in the afternoon. how much of an apple did she eat in total
marishachu [46]

Step-by-step explanation:

in this problem, we are solving for the amount of apple that Paloma eats

1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find  

  that remainder

2. she also ate 3/8 of the remainder for lunch

3. we then proceed to calculate all apple she ate in total

1. \frac{2}{8} *1= \frac{1}{4} \\\\1-\frac{1}{4}= \frac{4-1}{4}  = \frac{3}{4}

2 she ate 3/8 of the remaining 3/4 apple

1. \frac{3}{8} *\frac{3}{4} = \frac{9}{32}

3. in  total she ate 1/4+ 9/32

\frac{1}{4} +\frac{9}{32} = \frac{8+9}{32} = \frac{17}{32}

6 0
4 years ago
RST is dilated about the origin,O, to creat R’S’T’. Point R is located at (3,9) and point R is located at (1.2, 3.6). Which scal
sashaice [31]

Answer:

The scale factor used is 0.4

Step-by-step explanation:

Given

R = (3,9)

R' = (1.2, 3.6)

Required

Determine the scale factor of RST

The question can be solved using scale factor formula

Scale factor is calculated as thus;

Scale\ Factor = \frac{New\ Length}{Old\ Length}

In this case; R' is the new length and R is the old length

Scale\ Factor = \frac{R'}{R}

Substitute the values of R and R'

Scale\ Factor = \frac{(1.2,3.6)}{(3,9)}

Factorize the denominator

Scale\ Factor = \frac{(1.2,3.6)}{2.5(1.2,3.6)}

Scale\ Factor = \frac{1}{2.5}

Scale\ Factor = 0.4

<em>Hence, the scale factor used is 0.4</em>

5 0
3 years ago
Which of the following graphs best represents f(x) = 3 sin 4x + 2?
Lesechka [4]
The graph for
f(x) = sin x
is a sinusoidal graph with the origin as the middle point and the value increases up to the maximum point before going down crossing the x-axis and reaching the minimum point before increasing again until it crosses the x-axis. The graph continues as a wave on both sides indefinitely.
f(x) = 3 sin 4x
has an amplitude of 3 or the highest point is 3 and a period of
Period = 2π/4 = π/2
f(x) = 3 sin 4x + 2
the graph is shifted 2 points upward.
5 0
3 years ago
Distance between (1,2) and (4,6)
White raven [17]

Answer:

2

Step-by-step explanation:

6-4 over 2-1

2 over 1

=2

I hope this is correct and have a great day

6 0
3 years ago
Simplify this pleasee​
DochEvi [55]

Answer:

<em><u>48</u></em>

Step-by-step explanation:

<em><u>3</u></em><em><u>(</u></em><em><u>4</u></em><em><u>)</u></em><em><u>^</u></em><em><u>2</u></em>

<em><u>48</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em>

5 0
3 years ago
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