The height of players on a football team is normally distributed with a mean of 74 inches, and a standard deviation of 1 inch. If there are 50 football players on the team, how many are less than 74 inches tall?
Answers
Answer:
Step-by-step explanation:
Let x be the random variable representing the height of players on the football team. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 74 inches
σ = 1 inch
n = 50
x = 74 inches
the probability that a player is less than 74 inches tall is expressed as
P(x < 74)
For x = 74,
z = (74 - 74)/(1/√50) = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
Therefore,
P(x < 74)
The players less than 74 inches is
0.5 × 50 = 25 players
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Jackie's broker charges her a commission of $8.25 per ten of stocks she buys or sells. If Jackie buys 69 shares of Alesia Insurance at $10.34 per share, how much will Jackie spend in commission?
Why is -√10 an irrational number?
B) to draw arcs of a given size
C) to draw perpendicular lines
D) to draw straight lines
Answers
The most direct use of a compass in geometric constructions is to draw arcs of a given size.
What is the compass in geometry?
In geometry, a compass is a tool for drawing circles and arcs.
It consists of two arms, one with a pointed end and the other with a pencil or pen.
We have,
A compass is a tool used for drawing circles and arcs.
By adjusting the distance between the two arms of the compass, it can be used to draw circles and arcs of various sizes.
While a compass can also draw congruent angles and perpendicular lines, these constructions often require additional steps beyond simply drawing an arc of a given size.
Drawing straight lines typically requires using a straightedge, which is a different tool than a compass.
Thus,
The most direct use of a compass in geometric constructions is to draw arcs of a given size.
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Line B: x + y = 3
Which statement is true about the solution to the set of equations?
It is (1, 2).
There are infinitely many solutions.
It is (2, 2).
There is no solution.
Answers
Line B: x+y=3 ⇒y=-x+3
Therefore: y=y then:
-x+4=-x+3
-x+x=3-4
0≠-1 ⇒There is no solution because the lines are parallels
Answer: There is no solution
Answer:
D. There is no soltution sorry this answer is reallyyyy late :(
Step-by-step explanation:
b
y=7/4x+2
y=-7/4x-2
y=-4/7x-2
y=4/7x-2
C С
d
Answers
Answer:
Hey there!
Slope: 7-3/1-(-1), which is equal to 4/2, or 2.
Point slope: y-7=2(x-1)
So choice B is correct.
Step-by-step explanation:
Answers
hope it helps
Answers
1. Do a proportion
152.5/61 times x/100
2. Do 152.5 times 100 which equals 15,250
3. Divide 15,250 by 61 which equals 250
4. Your answer is 250%
The number 152.5 is 250 percent of 61.
To find the chance, we can use the following formula
(Percentage / 100) Whole = Part
In this case, we want to find the chance, which is the unknown value. Let's denote it as "x."
(x/ 100) 61 = 152.5
To break for x, we can rearrange the equation
x = (152.5/ 61) 100
x ≈ 250
Thus, 152.5 is roughly 250 of 61.
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AABC - ADEF.
Based on the dimensions in the diagram, what is the
perimeter of AABC?
A-9 in.
B-10 in.
C-9.5 in.
D-10.5 in.
Answers
Answer:
Perimeter of ΔABC is 9.5 in.
Step-by-step explanation:
Given:
ΔABC ΔDEF
DE = 6 in.
EF = 5.25 in.
DF = 3 in.
AB = 4 in.
We need to find the Perimeter of ΔABC.
Solution:
First we will find the sides of ΔABC.
Now By Triangle similarity property which states that:
"When two triangles are similar the the ratio of their corresponding sides are equal."
From Above property we can say that;
Now we will find BC and AC
Also;
Now In ΔABC
AB = 4 in
BC = 3.5 in
AC =2 in.
Now Perimeter of ΔABC can be calculated as sum of all sides.
Perimeter of ΔABC = AB +BC +AC = 4 + 3.5 + 2 = 9.5 in
Hence Perimeter of ΔABC is 9.5 in.