Answer:
The probability is [tex]P( p < 435.82 ) = 0.54094[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 54% = 0.54
The sample size is n = 808
Generally the distribution of the population with college degree follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n * p[/tex]
=> [tex]\mu = 808 * 0.52[/tex]
=> [tex]\mu = 420.16[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{np(1- p )}[/tex]
=> [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]
=> [tex]\sigma = 14.2[/tex]
Generally 54% of the population proportion is
[tex]\^ p = 0.54 * 808[/tex]
=> [tex]\^ p = 436.32[/tex]
Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as
[tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]
applying continuity correction
[tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]
From the z table the area under the normal curve to the left corresponding to 0.1028 is
[tex]P( Z < 0.1028 ) = 0.54094[/tex]
=> [tex]P( p < 435.82 ) = 0.54094[/tex]
You recently discovered that your job provides a 25% matching towards your retirement.
If you deposit $300 each month into a retirement account with an APR of 8.99%, what
would you type in Excel to find the balance after 30 years?
Answer:
What is typed in the attached Excel file is =FV(B4,B5,-B3,0,0).
Step-by-step explanation:
Note: See the attached excel file for the calculation of future value of an ordinary annuity.
Since we want to find the balance after 30 years, the function in the Excel is the FV function which is used to calculate the future value (FV) of an ordinary annuity as follows:
=FV(rate,nper,-pmt,0,0) …………………… (1)
rate = Monthly interest rate = APR / 12 = 8.99% / 12 = 0.0899 / 12 = 0.00749166666666667. Note: This is typed in cell B4 in attached excel file.
nper = periods = number of months = 30 years * 12 months = 360. Note: This is typed in cell B5 in attached excel file.
pmt = monthly payment = $300. Note: This is typed in cell B3 in the attached excel file. And also typed as a negative value in cell B7, i.e. as -B3.
pv = present value = 0. Note: This is the first 0 typed in cell B7 in the attached excel file.
type 0 = 0 this is typed to indicate that deposit is made at end of period as a regular or ordinary annuity. This is the second 0 typed in cell B7 in the attached excel file.
Based on the above, the FV function in equation (1) above is converted to the following which is typed in the attached Excel file to find the balance after 30 years:
=FV(B4,B5,-B3,0,0)
The above then gives a future value of $548,080.11 which is the balance after 30 years.
each chicken has 2 legs. how many legs are there in a group of 9 chickens? show how you decided
Answer:
18 legs
Step-by-step explanation:
2 legs 9 chickens.
2*9 which is 18.
Hope this helps ;D
Help please !!!!! Thanks
Answer:
7) y = -2
8) x = 4
Step-by-step explanation:
Any straight horizontal/vertical line you find will be x= or y=. The vertical lines are always x= because they only touch the x axis. It's the opposite for horizontal lines. For example, on number 7, the line touches -2 on the y axis. That's why it's "y=-2". Same goes for 8. the line only touches 4.
I hope this helped and wasn't confusing!
1. What is the range? Write your answer like #
(Don’t worry that it’s not the less than or equal sign)
Helppppppp
3y
Step-by-step explanation:
how do i ask the community?
just do whatever you did now
Circle circumference
Will mark brainliest
4. To make te cups of hot chocolate, 4 tablespoons of cocoa mix
must be used. If a snack bar wants to make 36 cups of hot chocolate,
how much mix will they need?
Answer:
144
Step-by-step explanation:
You will multiply 4 tablespoons by the number of cups, that is how you get your answer. ; )
A coin is tossed 5 times; find the probability of getting at least 1 tail. Would you consider this event likely to happen?
Answer: 0.96875
Step-by-step explanation:
Probability of obtaining at least one tail on a toss of coin 5 times ;
P(success) in a coin toss = 1/2 = 0.5
Using the binomial distribution formula :
P(x) = nCx * p^x * (1 - p)^(n-x)
P(at least one tail) = 1 - p(0 tails)
P( 0 tails) = 5C0 * 0.5^0 * 0.5^(5-0)
= 1 * 1 * 0.03125
= 0.03125
P(at leat 1 tail) = 1 - 0.03125
P(atleast 1 tail) = 0.96875
HELLLLP ASAP I NEED SOMEONE TO EXPLAIN PLEASE
Step-by-step explanation:
When it says you need to prove something
you need to place a statement about what you need to prove
and then a reason for why.
In this case
You need to prove that
Side AB is congruent (identical in form) to Side ED
A school eams S70 from selling 50 tickets for the school play. Each ticket costs the same amount
How much does the school eam for 1 ticket?
Enter your answer in the box below.
Answer:
$1.40
Step-by-step explanation:
I used a unit rate to understand it.
$70/50
70÷ 50= 1.4
50÷50=1
1.4/1 = 1.4 OR $1.40, adding a zero doesn't change it amount, it just places a filler, so the final answer is, one dollar and forty cents.
Can y'all answer my question: 3d + 45 = 150
Answer:
d=35
Step-by-step explanation:
Write the equation of the line to n slope intercept from (3,5) and (-3,-1)
Answer:
The equation of your line is y=1x+2
Step-by-step explanation:
first you take y2-y1/x2-x1
y2=-1 y1=5
x2= -3 x1= 3
that gives you your slope so (-1-5)/ (-3-3) = 1
y=mx+b
mx is your slope
y=1x+b
to solve for b you input your slope and one of your points (I used (3,5)
5=1(3) +b
solve for b and you get 2
then put your mx and b into the equation of a line
y=1x+2
and thats your answer
You can also check your work by using a graphing calculator and checking that the line goes through those two points.
2 6/7 ×3 1/4 idk what that answer is
Answer: The answer should be 9 2/7 I suppose.
what is the reciprocal of x^3 and a^2 ? please help!!!
Answer:
1/x^3 and 1/a^2
Step-by-step explanation:
what is 19+1 pls help me
pleaseeeeeeeeeeeeeeeeeeeeee help me i'm begging you so the questions is what is the multiplicative of 5 and 10-5k
Answer:
1/5 and -k/5+2
Step-by-step explanation:
inverse of 5= 1/5
swap the variables: y=10−5k becomes k=10−5y
Now, solve the equation k=10−5y
for y
y=−k/5+2
Please help please help
Answer:
b
Step-by-step explanation:
cause if you divided 5 by 4 you'd get 1.25 then times that by 8 it'll give you 10 thus the answer is b
please help me i rlly need help
Answer:
3
Step-by-step explanation:
Given a line with points; (2, 5) (3, 8).
1. Find the slope of the given line
The formula for finding the slope is:
[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]
Substitute in the values;
[tex]x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8[/tex]
[tex]\frac{8-5}{3-2}[/tex]
simplify;
[tex]\frac{3}{1}[/tex]
= 3
2. Find the slope of the parallel line;
Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.
1+7 pls help me nowwwww
a number subtracted from the product of
four and the number.
Answer:
x-(4+x)
Step-by-step explanation:
x is the number. and a number subtracted from the product of four and the number is basically saying x-(4+x)
If pand q vary inversely and pis 28 when Q is 29. determine q when p is equal to 14.
9514 1404 393
Answer:
q = 58
Step-by-step explanation:
If the variation is inverse, when p is multiplied by 1/2, q will be multiplied by the inverse (reciprocal) of 1/2, which is 2/1 = 2.
When p = (1/2)(28), q = (2)(29) = 59
q = 58
Please help I’m stuck on this question
Answer:
C. a => c
Step-by-step explanation:
a b c a => b a => c (not C)
0 0 0
0 0 1
0 1 0
0 1 1
1 0 0 F F
1 0 1 F
1 1 0 F
1 1 1
¬a b c a => b ¬a => c (not B)
1 0 0 F F
1 0 1 F
1 1 0 F
1 1 1
0 0 0
0 0 1
0 1 0
0 1 1
a b c a => b c => a (not D)
0 0 0
0 0 1 F
0 1 0
0 1 1 F
1 0 0 F
1 0 1 F
1 1 0
1 1 1
¬a b ¬c a => b ¬a => ¬c
1 0 1
1 0 0 F
1 1 1
1 1 0 F
0 0 1 F
0 0 0 F
0 1 1
0 1 0
answer: everything is false lol
Please help!! Time is almost up and I’m having trouble with this question. Giving 20 points
Use the graph to answer the question.
What is the average rate of change from x = 3 to x
= 11?
0 -8
1
001-
1
8
08
Answer:
Negative 1/8 is the answer
Evaluate the Expression: 8r - 4w - 9 when r = 7 and w = 4
Answer:
= 31
Step-by-step explanation:
So first plug in the numbers 8(7) - 4(4) - 16
then solve
56 - 16 - 9 = 31
Answer:
31
Step-by-step explanation:
8r - 4w - 9 when r = 7 and w = 4.
~Substitute
8(7) - 4(4) - 9
~Simplify
56 - 16 - 9
~Subtract
40 - 9
~Subtract
31
Best of Luck!
Which equation represents the line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5?
Answer:
y = 2x - 13
Step-by-step explanation:
Equation of a line is y = mx + c, m is the gradient and c is the intercept
The line passes through points 4 and -5, x is 4 and y is -5
-5 = 4m + c
When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1
x + 2y = 5
2y = -x + 5
y = (-1/2 * x) + 5
therefore m = -1/2
m1 * m2 = -1
m * -1/2 = -1
-m = -2 , therefore m = 2
-5 = 4 * 2 + c
c = -5 - 8, which is -13
Therefore the equation for the line is
y = 2x - 13
What’s the slope intercept equation
Answer:
y=mx + b
Step-by-step explanation:
y= y intercept coordinate
m=slope=x coordinate
b = y intercept
Find each missing measurement of the angle, and determine the name of the angle
Answer:
the first one is 101 degrees
the second one is 106 degrees
the third one is 106 degrees
Step-by-step explanation:
Answer:
1. x = 101, x is an opposite interior angle
2. x = 106, x is an opposite interior angle
3. x = 106, x is a same-side interior angle
Please help! BRAINLIEST to correct answer!!!
Answer:
−3x⋅(x+6)⋅(x−8)
Step-by-step explanation:
hp this helps
Complete the ordered pair for 4x - 5y = 23
Answer:
none of these
Step-by-step explanation: