Answer:
The standard deviation of the number of females in the sample is 3.21.
Step-by-step explanation:
For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.
Standard deviation of the hypergeometric distribution:
We have that:
N is the population size.
n is the sample size.
s is the number of successes in the sample.
The standard deviation is given by:
[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]
A small liberal arts college in the Northeast has 350freshmen.
This means that [tex]N = 350[/tex]
One hundred five of the freshmen are female.
This means that [tex]s = 105[/tex]
Suppose sixty freshmen are randomly selected
This means that [tex]n = 60[/tex]
Find the standard deviation of the number of females in the sample.
[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]
The standard deviation of the number of females in the sample is 3.21.
-12(5/6a-7/8)+1/14(3 1/2a-1 2/5)
what is the measurement of YVX?
Answer:
the measurement of YVX is 88°
A study was conducted to investigate the effectiveness of a new aspirin-derivative in reducing pain. Results for randomly selected subjects are presented in the Assignment # 8 Excel worksheet. A lower score indicates less pain. The "before" value is matched to an "after" value and the differences are calculated ( on your excel worksheet ) . The differences have a normal distribution. Are the pain-reduction measurements, on average, lower after taking the new aspirin-derivative ? Test at a 1 % significance level.
Mrs. Daniel packs reams of paper into boxes. The box has a mass of 18
ounces, and each ream of paper weighs 22 ounces. If the function
y = 22x + 18 describes the total mass, the variable x represents the —
A.total mass of a box filled with reams of paper
B.total number of boxes filled with reams of paper
C.mass of each ream of paper inside a box
D.number of reams of paper packed in a box
A bike shop is having a sale 40% off all bikes. If you see a bike for $280, how much will you pay after receiving the 40% discount?
Find the missing probability.
P(A) = ?
P(B) = 2/5
P(A and B) = 6/25
The missing probability will be P(A) = 3/25. The correct option is C.
What is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. Probability is used in mathematics, statistics, and many other fields to quantify uncertain or random events.
To find the missing probability P(A), we can use the formula for the probability of the intersection of two events:
P(A and B) = P(A) * P(B|A)
Where P(B|A) is the conditional probability of B given A.
Rearranging this formula, we get:
P(A) = P(A and B) / P(B|A)
To find P(B|A), we can use the formula for conditional probability:
P(B|A) = P(A and B) / P(A)
Substituting this into the first formula, we get:
P(A) = P(A and B) / (P(A and B) / P(A))
Simplifying, we get:
P(A) = P(A and B) / P(B)
Substituting the given values, we get:
P(A) = (6/25) / (2/5)
Simplifying, we get:
P(A) = (6/25) x (5/2)
P(A) = 3/25
Therefore, the missing probability is P(A) = 3/25.
To know more about probability follow
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Please no links!! Can’t open them! Thanks
When you roll a number cube, there are 6 possible _____.
a.) dots
b.) sides
c.) outcomes
b.) none of these
Answer:
c. outcomes
Step-by-step explanation:
A company installs a rectangular septic tank 30 ft long by 15 ft wide and 2 ft deep. Calculate the capacity of the tank in gallons. (Use 1ft3 = 7.48 gal.)
Answer:
V = lwh
V = 15 x 2 x 30
V = 900 cu.ft
V = 900 cu.ft x 7.48 gal/ cu.ft
V= 6,732 gal
A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Answer:
Expected value for 4 tickets = $ -7.6
Step-by-step explanation:
Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.
To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Proof -
Given that,
A lottery offers
one $ 900 prize
one $ 600 prize
three $ 400 prizes
Four $ 100 prizes
And
One thousand tickets are sold at $ 5 each
Now,
If the person bought 1000 tickets then the prize he gets is
= 900 + 600 + 3×400 + 4×100
= 900 + 600 + 1200 + 400
= $3100
And
The cost of 1000 tickets = 5×1000 = $ 5000
Now,
Price 1 ticket = [tex]\frac{3100}{1000}[/tex] = $ 3.1
⇒Expectation of 1 ticket = $ 3.1 - 5 = $ -1.9 (Here $5 is price of 1 ticket)
⇒Expected value for 4 tickets = $ 4× -1.9 = $ -7.6
⇒Expected value for 4 tickets = $ -7.6
what an expression that is equivalent to 7/8
Answer:
0.875 is the equivalent fraction
30 beads divided into 5 groups is represented by which fraction
Answer:
30/5=6 the fraction is 30/5
Step-by-step explanation:
find the mad: 250, 249, 251, 253, and 253
Its 250 for sure i have not done mads for a while now.
So maybe double check me with someone else
Answer:
It's 1.44
Step-by-step explanation:
y = x^3 + 5x^2 + 3x x= -3
Answer:
9
Step-by-step explanation:
-3^3 +5*(3)^2 +3*-3
-27+5*9+(-9)
-27+45-9
=9
Answer:
Step-by-step explanation:
Wherever you see an x, put in -3
y=(-3)^3 + 5(-3)^2 + 3(-3)
y = - 27 + 5 * 9 + -9
y = -27 + 45 - 9
y = 9
In a school of 1,450 students, 32% of the students went on the field trip. How many students didn't go on a field trip?
_______did not go on the field trip.
Choose all equivalent expression(s). ab^-3x=
Answer:
Is there a photo the problem or is that just it?
Answer:
The answer is the last two.
Step-by-step explanation:
The stem-and-leaf plot shows the amount of money each student in Spanish club collected for charity this semester. How many
male students are represented in the stem-and-leaf plot?
A)
14
B)
26
40
D)
72
Its 72 I hope it helped.
find 3/4 of 32
please show all your work for full credit
Answer:
24
Step-by-step explanation:
[tex]\frac{3}{4} *32\\=\frac{3}{4}*\frac{32}{1} \\=\frac{96}{4} =24[/tex]
help me plz i will give you all my points
Answer:
3.8
Step-by-step explanation:
The difference of two numbers is 8 and their quotient is 2.
Answer:
16 ÷ 8 = 2
Step-by-step explanation:
It was really simple actually
Answer:
16 - 8 = 8
Step-by-step explanation:
16 divided by 8 = 2
list five causes of egg breakage in poultry production
1. Overweight pullets
2. Pullets coming into lay
3. Poor hygiene: Cage, trays
4. Heat stress
5. Bird age
Answer:
Aging hens, decreased lighting conditions, molting, omission of feed ingredients
Step-by-step explanation:
what is log17 60 evaluated?
Answer:
1.77815125038
Step-by-step explanation:
What is 0.06 x 0.4 =
Answer:
0.024
Step-by-step explanation:
First, multiply 6 by 4 to get 24. Since there is a hundredth and a tenth, you have to move the digit 3 units right to get 0.024.
Sorta don't know how to explain this but hope this helps
SOLVE FOR X!!
(will mark brainliest))
Answer:
x=15
Step-by-step explanation:
Hello there!
The shown angles are vertical angles
if you didn't know vertical angles are congruent
That being said we can create equation
5x + 40 = 115
now we solve for x
step 1 subtract 40 from each side
40 - 40 cancels out
115 - 45 = 75
now we have 75 = 5x
step 2 divide each side by 5
5x/5=x
75/5=15
we're left with x = 15
Write an equivalent expression that does not use parentheses.
9(3 - x)
Answer:
i'm going to be honest and say sorry if i its wrong but
i think its 27 - 9x
and ageing sorry if its wrong
Step-by-step explanation:
please help me w ith thsi
Hi there! :)
[tex]\large\boxed{A = 12.5 \text{ units}^{2}}[/tex]
Find the area of the shape using the formula for the area of a trapezoid:
A = 1/2(b1 + b2) · h
Where:
b1 = base 1
b2 = base 2
h = height
A = area
Plug in the given bases and height:
A = 1/2(7.5 + 2.5) · 2.5
Simplify:
A = 1/2(10) · 2.5
A = 5 · 2.5
A = 12.5 units²
Surface are of prisms
Answer:
Area of cube formula - A=6a2
Area of rectangular prism - A=2(wl+hl+hw)
Answer:
1. Nets
2. Surface Area
3.area
4. add
5. A= 1/2 bh
Step-by-step explanation:
Side A- 8x5 = 40 sq.m
Side B - 3x8 = 24 sq.m
side c - 5x8 = 49 sq.m
side d - 1/2 ( 3x 2) = 3
side E- 1/2 (3x2) = 3
Area of rectangular prism - 2 (wl + wh + lh)
surface area of cube = 6a^2 ( a is edge)
Solve for x. Each figure is a trapezoid.
12) MK = 23
LJ = 4x - 9
Answer:
32
Step-by-step explanation:
23
Suppose that an airplane is currently flying at an altitude
of 31,680 feet and will be landing on a tarmac 120 miles
away. Find the average angle at which the airplane must
descend for landing. Round your answer to the nearest
unit.
Answer:
i just want points
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
15 Points for this and brainliest pls help I am soooooo desparateeeeeeeeee
Answer:
cant see the words clearly please type the words and answers !!