Answer:
D. 4in, 12in
Step-by-step explanation:
Area of triangle = 24in²
Unknown:
Base and height of the triangle = ?
Solution:
The area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
From the problem,
base = [tex]\frac{1}{3}[/tex] x height
let the base = b
height = h
b = [tex]\frac{1}{3}[/tex]h
h = 3b
Input into the formula of area;
24 = [tex]\frac{1}{2}[/tex] x b x 3b
Mulitply through by 2;
48 = 3b²
b² = 16
b = √16 = 4
So, h = 3b= 3 x 4 = 12in
Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5%5%? Round your answer to four decimal places.
Answer:
The value is [tex]P(| \^ p - p| < 0.05 ) = 0.9822 [/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.52[/tex]
The sample size is n = 563
Generally the population mean of the sampling distribution is mathematically represented as
[tex]\mu_{x} = p = 0.52[/tex]
Generally the standard deviation of the sampling distribution is mathematically evaluated as
[tex]\sigma = \sqrt{\frac{ p(1- p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }[/tex]
=> [tex]\sigma = 0.02106 [/tex]
Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as
[tex]P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))[/tex]
Here [tex]\^ p[/tex] is the sample proportion of persons with a college degree.
So
[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )[/tex]
Here
[tex]\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))[/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }][/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ][/tex]
=> [tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )[/tex]
From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is
[tex]P(Z < 2.37 ) = 0.9911[/tex]
and
[tex]P(Z < - 2.37 ) = 0.0089[/tex]
So
=>[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089[/tex]
=>[tex]P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822 [/tex]
=> [tex]P(| \^ p - p| < 0.05 ) = 0.9822 [/tex]
which fraction is equivalent to -3/2?
PLSS I NEEED HELPP!!
Answer:
-6/4 is equivalent to that
Step-by-step explanation:
At first Davian has $120 less than Jeremy.
Jeremy then spends half his money and Davian spends
none.
Davian now has $20 more than Jeremy.
Directions:
1) Assume that Jeremy originally has J dollars.
2) Fill in the algebraic expressions in the table below using
the variable J.
3) Solve the equation to get number of dollars Jeremy had
originally, and fill it into the entry in the last row.
English
Algebraic Expression
Correct?
Number of dollars
Jeremy has at first
Х
Number of dollars Davian
has at first
Х
Number of dollars
Jeremy has after
spending half his money
the equation
xx x
Number dollars Jeremy
had originally (as a
number)
Answer: YOU SHOULD DIVIDE ALL OF THEM TO GET YOUR ANSWER
Select the correct answer. What is the simplest form of the ratio 40: 167 ; A 20:8 ,B10:4 ,C5:4, D. 5:2, E. 10:8. Will give brainlyest. NEED ANSWERS ASAP
Answer:
It is in the simplest form and cannot be simplified.
Step-by-step explanation:
Answer:
5:2
Step-by-step explanation:
40/8 = 5 16/8 = 2
A package in the shape of a rectangular prism has a length of 4 1/2 feet, a width of 2 3/4 feet, and a height of 2 1/3 feet.
What is the volume, in cubic feet, of the package?
Answer:
28.875
Step-by-step explanation:
you would just multiply the three together
I need help ASAP because this has to be turned in tomorrow
Answer:
You should look for this assignment quizlet. quizlet has pretty much every assignment!
Step-by-step explanation:
Go online, go to the search bar, type quizlet.com, look for assignment. boom. answers.
Write a equivalent expression for the expression 6x-18-12y using a negative factor
Answer:
-2*(6y-3x+9)
Step-by-step explanation:
Answer:
-6(-x+3+2y)
Step-by-step explanation:
The figure shows a pair of parallel lines
intersected by another pair of parallel lines.
Are the measures of Z4 and 214 related in
the same way as the measures of 29 and
Z7? Show your work.
Answer:
Step-by-step explanation:
m∠4 + m∠16 = 180° [Consecutive exterior angles]
m∠16 = m∠14 [corresponding angles]
Therefore, m∠4 + m∠14 = 180°
m∠7 + m∠11 = 180° [Consecutive interior angles]
m∠11 = m∠9 [Corresponding angles]
Therefore, m∠7 + m∠9 = 180°
In both the cases sum of the given angles is 180°.
Therefore, measure of ∠4 and ∠14 are related in the same way as the measurement of ∠9 and ∠7.
19. passes through (1, 4) and (-1, 1)
Answer:
y = 3/2x + 2.5
Step-by-step explanation:
Use this formula to find the slope. y2-y2/x2-x1
Plug in
1-4/-1-1= -3/-2 = 3/2
So the slope is 3/2
To find the y-intercept use one of the points you were given. (1,4)
Plug in (1,4)
4 = 3/2(1) + b (b is the y-intercept)
4 = 3/2 + b (minus 3/2 on both sides)
2.5 = b or 5/2 = b
y = 3/2x + 2.5
X+2/8=4-x/5 please hurry I’m in a rush
Wrap
Step-by-step explanation:
xsamksa
Divide 1/5 divided by 1/12
Answer:
I believe it's 2 2/5
Step-by-step explanation:
1 /5 ÷ 1 /12 = 1 / 5 × 12 /1
=
1 × 12
---------
5 × 1
=
12 /5 = 2 2 /5
Determine the slope of the line passing through the points (2,6) (1,6)
Answer:
0
Step-by-step explanation:
(6-6)/(1-2)=0
Answer:
The slope is zero
Step-by-step explanation:
it is zero because if you graph the two points the line is horizontal meaning that only the x value goes up as the y value stays put meaning that the slope of this line is zero
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8). M(1,6), S(-2,-6), T(2, 10) plz help!!!
Answer:
they are neither
Step-by-step explanation:
because if you connect the dots they are neither parallel or perpendicular
please help thank you !!
Answer:
80 gallons
Step-by-step explanation:
First to find this, we must divide 10 by 4, and yes I know this will give us a decimal, but it must be done. This division will give us 2.5, we must then multiply 2.5 by 32, as we are given 32 gallons for 4 loads of dishes, and if 2.5 times 4 loads is 10 loads, then we must multiply 32 by 2.5 as well, giving us the answer, 80 gallons
Answer:
80 gallons
Step-by-step explanation:
The answer is 80 gallons when using the distributive, and communitive property of multiplication and division.
Feel free to give brainliest. I hope everyone has an excellent day!
What is |-24| + |13| =?
Answer:
37
Step-by-step explanation:
just add the two numbers like they are not negative.
Which graph represents the function y2 = -16X?
Answer:
i think it is first, but i'm not sure.
Step-by-step explanation:
the first one is the most logical (to me)
Answer:
the first graph
Step-by-step explanation:
Plllzzzz illl give a brainliest plz help
Answer:
d.
Step-by-step explanation:
10^-2 = .01
times 6= .06 and 60%= .6
Answer:
3rd one or 36 i dont have that symbol-
Step-by-step explanation:
well 2/3 is 66 percent, 6.5 is 650% 6x10 2 is 600 and so its the third circle or answer
what monthly amount is needed for a car loan with a starting balance of 8000 over 3 years with a fixed APR of 0.65%?
Answer:
80,341.99
Step-by-step explanation:
pay each Month $80 for 19 years , interest measured 3%
If Megan's tuition, fees, and expenditures for books this year total $19,000, what will they be during her senior year (three years from now),
assuming costs rise 7 percent annually? Round Future value of a Single
Amount in intermediate calculations to four decimal places.
Answer:
$23,275.817
Step-by-step explanation:
To get this answer, multiply 19,000 by 1.07.
$19,000 x 1.07 = 20,330 (one year later)
$20,330 x 1.07 = $21,753.10 (two years later)
$21,753.10 x 1.07= $23,275.817 (three years later)
The answer round to cents would be $23,275.82
how do you simplify 50 1/2 + -12.3
Answer:
I believe you divide it
Step-by-step explanation:
hope this helps u
Answer:
38.2
Step-by-step explanation:
50 1/2=50.5 1/2=.5
50.5 + -12.3 is the same as 50.5 - 12.3
50.5 + -12.3= 38.2
50.5 - 12.3 = 38.2
What is the solution to the system of equations?
x=-3y-6 3x+4y=2
A) (-30, 8)
B) (-18, 4)
C) (6, -4)
D) (-18, -4)
Hurry!!!!!
Choose an equivalent expression for 123 • 129 • 124 • 122.
124
1218
1235
12216
Question:
Choose an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2
A. 12^4 B. 12^18 C. 12^35 D. 12^216
Answer:
[tex]12^{18}[/tex]
Step-by-step explanation:
Given
[tex]12^3 . 12^9 . 12^4 . 12^2[/tex]
Required
Determine the equivalent
Applying law of indices, we have:
[tex]12^{3 + 9 + 4 + 2}[/tex]
[tex]12^{18}[/tex]
Hence:
[tex]12^3 . 12^9 . 12^4 . 12^2 = 12^{18[/tex]
What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(1/3x) + 6?
A. Stretched horizontally and shifted up
B. Stretched vertically and shifted right
C. Compressed vertically and shifted left
D. Compressed horizontally and shifted down
Answer:
A but im not sure
Step-by-step explanation:
PLEASE HELP!?!?!
a. c + 7 less than or equal to 3
b. c – 3 > 1
c. c – 7 < 3
Matching
Match the inequality to the graph of its solution.
Please help me ...............,..
Answer:
Angle A and H are Alternate exterior angles and they are congruent.
Hey! I'm having trouble with this one problem in precalc.
Verify the identity: cot x minus pi divided by two = -tan x
Answer:
O-O is this highschool stuff sorry couldnt help
Step-by-step explanation:
Can you help me i wil give you a branlist and please help me
Answer:
i love free points dont you
Please awnser correct, I Will give you $Brainlyest$ and pls no wRoNg AwNsErS. lol
Answer:
b
Step-by-step explanation:
Rosa believes she can use a division expression to find the cost per pound of ground beef when 2/3 pound sells for $4. Which statement best explains why Rosa is correct or incorrect? A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word. B. Rosa is correct in using a division expression because the cost per pound should be less than $4. C. Rosa is incorrect in using a division expression because ""cost per pound"" refers to the product of the price and weight. D. Rosa is incorrect in using a division expression because the cost per pound must be an integer.
Answer: A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word.
Step-by-step explanation:
The term ; Cost per pound can be interpreted mathematically to mean;
Cost / pound ; where per means division. In the context above ;
cost per pound = cost of 1 pound of an item ;
(Stated Cost of the item ÷ pound of the item at the stated cost)
For the question above ;
2/3 pounds of ground beef cost $4;
Cost per pound = cost of 1 pound of ground beef ;
= $4 ÷ (2/3)
= $6
Hence, 1 pound of ground beef cost $6
Answer:
so the answer is a. 1/25 hope this helps can my reward be brainlest???
Step-by-step explanation: What is the result of 5 divided by one-fifth?
5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath.
StartFraction 1 Over 25 EndFraction
One-fifth
1
25
Una caja de 30 kg esta apoyada sobre una de sus caras que tiene 40 cm de ancho y 50 cm de largo. La presion que ejerce sobre el suelo sera
Answer:
294N
Step-by-step explanation:
La presion que ejerce sobre el suelo seria la fuerza de la caja contra el suelo. Esto se calcula multiplicando el peso de la caja por el valor de la gravedad de nuestra tierra. En esta situacion no se necesitaria las dimensiones de la caja.
Fuerza = 30kg * 9.8[tex]m/s^{2}[/tex]
Fuerza = 294N
Fuerza tiene un simbolo de N que significa Newtons que serian calculados como kg * m/s^{2} ... entonces la caja ejerce una fuerza de 294N sobre el suelo.
