Answer:
85.375%
Step-by-step explanation:
We would be using the z-score formula which is
z = (x-μ)/σ, where
x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
In the question, we are given:
x is the raw score = 47
μ is the population mean = Mean score = 43
σ is the population standard deviation = 3.8
z = (x-μ)/σ
z = (47- 43)/ 3.8
z = 4/3.8
z = 1.0526315789
The z score = 1.0526315789
Checking my z score on my normal distribution table,
The percentage of test takers that scored lower than you =
[1 - P(x>Z)] × 100
= ( 1 - 0.14625) × 100
= 0.85375 × 100
= 85.375%
Therefore, the percentage of test takers that scored lower than you is 85.375%
In parallelogram WXYZ, what is CY?
Answer:
The correct answer is 11 ft.
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.
Subtract x from each side:
x+4-x=2x-7-x
4=x-7.
Add 7 to both sides:
4+7=x-7+7
11=x
Answer:
11
Step-by-step explanation:
On edge
[tex](3 {x}^{3} ) + \sqrt{16 {x}^{12} } - 8 {x}^{4} [/tex]
solve
Answer:
3x^3 + 4x^6 - 8x^4 or
x^3( 4x^3 - 8x + 3).
Step-by-step explanation:
3x^3 + √(16x^12) - 8x^4
= 3x^3 + 4x^6 - 8x^4
We can factor this; to give
x^3( 4x^3 - 8x + 3)
Which is a better buy on apples
5lbs. for $5.25 OR 10lbs. for $10.25
Answer:
10lbs. for $10.25
Step-by-step explanation:
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
5/24
1/6
1/4
5/12
Answer:
Step-by-step explanation:
jan
m
m
jun
july
5/12
Probability month starts with the letter J or M is 5/12
Probability based problem:Computation:
Number of total month = 12
Number of month starts with the letter J or M = 5
Probability = Number of desired output ÷ Number of total output
Probability month starts with the letter J or M is = 5 / 12
So, Option 'D' is the correct answer to the following question.
Find out more information about 'Probability'.
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find the solutions to the equation (-3y)(6y)+9=0
Answer:
[tex]y=\pm\text{ }i\sqrt{\frac{1}{2}}[/tex]
Step-by-step explanation:
So we first multiply out the parentheses, which turns out to be [tex]-18y^2[/tex]. So our equation is [tex]-18y^2 + 9 = 0[/tex]. We factor out a 9, which turns into [tex]9(2y^2+1)[/tex]. So [tex]2y^2+1=0.[/tex] Solving, we have [tex]y^2=-\frac{1}{2}[/tex], and [tex]y=\pm\text{ }i\sqrt{\frac{1}{2}}[/tex]. I'm sorry everything is so messy, I hope you can still understand.
A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other three sides. The area A(x) in square meters of the field is a function of the length x in meters of each of the sides perpendicular to the barn wall
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
Sorry man i dont know they answer
Step-by-step explanation:
Which is the best reason why 4 5/6+2 4/6 not equal to eight
Answer:
I want brainliest >:)
Step-by-step explanation:
4 5/6 + 2 4/6 = 6 9/6 = 7 3/6 = 7 1/2 or 7.5
not 8!!!
Simplify.
Remove all perfect squares from inside the square root.
\sqrt{175}=
Answer:
First, simplify each square root: √175 , is 175 divisible by a perfect square (other than 1)? So √175=√25×7=√25×√7=5√7 . We cannot further simplfy √7 so we'll simplify the other square
Step-by-step explanation:
5 square
The simplified form of √175 is 5√7.
Here, we have,
To simplify the square root of 175, we can look for perfect square factors of 175 that can be taken out of the square root.
The largest perfect square that divides 175 is 25, which is the square of 5.
So, we can write √175 as √(25 × 7).
Using the property of square roots (√a × √b = √(a × b)),
we can split the square root:
√(25 × 7) = √25 × √7
The square root of 25 is 5, so we have:
√175 = 5√7
Therefore, the simplified form of √175 is 5√7.
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A radio station is giving away tickets to a game. They are giving 2
types of tickets: Front seats tickets cost 20 dollars and middle seats
tickets cost 10 dollars. They want to give away atleast 20 tickets.
But the total cost shouldn't be more than 280 dollars
Write a system of two inequalities that describes this situation.
Let x = number of $10 tickets and y = number of $20 tickets.
[A]
Graph the system to show all possible outcomes.
[B]
Write one possible solution to the problem in sentence form.
Answer:
10x+20y[tex]\leq[/tex]280
x+y[tex]\\\geq[/tex]20
Thank you so very much for helping
Answer:
Angle 2
Step-by-step explanation:
They are 90 degrees when added together
Answer:
<2
Step-by-step explanation:
Complementary angles add to 90 degrees ( form right angles)
<1 and <2 add to 90 degrees so they are complementary angles
Vijay's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?
Answer:3080”
Step-by-step explanation:
Micheal has a set of 5 cards shown below. Micheal wil randomly select a card, not replace it, then select another card. What is the probibality That he selects a prime number and then a 1?
Answer:
3/20 or 15%
Step-by-step explanation:
Out of 1,2,3,4, and 5, there are 3 prime numbers. This makes the odds of selecting one of those prime numbers 3/5. Then, saying that he does pick a prime number and discards that card, there are now four cards, one of them being the number one. His chances of selecting this card is 1/4.
To find the probability you need to multiply the two probabilities together.
3/5 times 1/4 is 3/20.
So your answer is 3/20 or 15%.
A polynomial p has zeros when x = 1/5, x = -4, and x = 2.
What could be the equation of p?
Answer:
-3
Step-by-step explanation:
and
= -3
What could be the equation of p?
Choose 1 answer:
©
p(x) = 2(6x + 1)(x+3)
©
p(x) = 2(6x – ) (2 – 3)
© p(x) = + (6 +) (+3)
© pla) = = (***) (2-3)
Answer:
p(x) = (5x - 1) (x + 4) (x - 2)
Step-by-step explanation:
Solve the system of equations and choose the correct ordered pair.
3x+2y= 12
6x + 3y = 21
A. (3,2)
B. (4.0)
C. (4,3)
D. 2, 3)
Answer:
(D)
Step-by-step explanation:
Solve by graphing:
Use a graphing tool to graph the lines 3x+2y= 12 and 6x + 3y = 21.
The line intercept at (2,3).
Therefore, option D is the correct answer.
Brainiest Appreciated.
Please help me with those questions please please help
Does the sign need to flip when solving?
-2x = 22
Answer:
no
Step-by-step explanation:
an equal sign can't be flipped
Answer: no
Step-by-step explanation:
A trapezoid was broken into a triangle and rectangle. The base of the triangle b is ______cm.
Solve this inequality (show your work), then graph the solution of the inequality.
-4(x-1)<12
Answer:
x >-2
Step-by-step explanation:
-4(x-1)<12
Divide each side by -4, remembering to flip the inequality
-4/-4(x-1)<12/-4
x-1 > -3
Add 1 to each side
x-1+1 > -3+1
x >-2
open circle at -2
line extending to the right
Out of the 12 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams
Answer:
The answer is 66 ways .
Step-by-step explanation:
You have to use Combination because it says choosing 10 out of 12 as the position is not important :
12C10 = 66 ways of arrangements
The number of different 10-person teams are 66.
What is Combination?A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.
We have out of the 12 girls who tried out for the softball team, 10 will be chosen for the team.
Using Combination
C(n, r) = n!/ r! (n- r)!
Here n = 12, r= 10
So, C(12, 10)= 12! / 10! (12- 10)!
= 12 x 11 x 10! / 10! x 2
= 6 x 11
= 66
There are 66 10-person teams.
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Julius dad bought a traffic cone to place at the end of their driveway. He hopes it will notify drivers to be cautious since children play in the area. He wants to fill the cone with cement so it won't fall over. Approximately how much cement will he need to fill traffic cone?
Answer:
Option (3). 1571 in³
Step-by-step explanation:
Amount of cement required to fill the cement = Volume of the cone
Formula for the volume of the cone is
Volume = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the cone
h = height of the cone
Volume = [tex]\frac{1}{3}\pi (10^{2})(15)[/tex]
= [tex]\frac{1}{3}\pi (100)(15)[/tex]
= [tex]\frac{1500\pi }{3}[/tex]
= 500π
= 1570.8
≈ 1571 in³
Therefore, Option (3) is correct.
The combined weight of Maia and Vashti is 102.45kg. If Maia weighs 2.15kg more than Vashti, calculate Vashti's weight.
Answer:
50.32 I think
Step-by-step explanation:
52,13+50,32=102.45
The scale on a map is 1:30000 what is the actual distance represented by 1 centimetre give your answer in metres the scale on a different map is 1 inch represents 6 miles a road on the map measures 2.5 inches how long is the road in real-life?
Answer:
A. 1 cm will represent 300 metres in real life.
B. 2.5 inches will represent 15 miles on the road
Step-by-step explanation:
Part A.
The scale on the map is 1: 30000. This means that for every 1 unit drawn on the paper, it actually represents 30,000 units in real life.
To get the actual distance represented by 1 centimetre, we will first have to convert 1 cm to metre. this is because our answer is required in metres.
This will be 1 cm = 0.01 metres
We can no set up the relation.
if 1 unit represents 30,0000 units in real life
0.01 metres will represent x metres in real life.
This will be got by cross multiplying[tex]x= \frac{0.01 \times 30,000}{1}=300 metres[/tex]
it will represent 300 metres in real life.
Part B
following the same principle above, we can also set up a relation.
If 1 inch represents 6 miles
2.5 inches will represent x miles on the road.
cross multiplying, we will have
[tex]x= \frac{2.5 \times6}{1}= 15 miles[/tex]
2.5 inches will represent 15 miles on the road
Tell whether 12/8 and 3/6 form a proportion
Answer:
yes they do.... multiply 3/6 by 3 = 12/8
12/8 multiply by 1/3 = 3/6 or 1/2
Step-by-step explanation:
Don't you dare delete again eupora you are dum
my answer was correct you evil
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark’s investment double before age 52? What will his investment be worth? What would Mark’s investment be if he had invested at age 28?
Answer:
Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.
A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)
Step-by-step explanation:
Hope this helps. Stay healthy. No corona. Take Care
At the agre of 28 he had invested A=$2444.18.
The doubling time in years is 72/interest rate in per cent.
72/6 is 12 so it doubles every 12 years,
So, in 36 years it will double 3 times.
What is the formula for the investment?The formula of investment is
[tex]A=P(1+r)^{nt}[/tex]
[tex]A=300(1+.06)^{36}[/tex]
Without rounding, We get,
A=$2444.18.
That is doubling 3 times or increasing 8 fold.
Therefore at the age of 28 he had invested A=$2444.18.
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If Nick used 56 feet of fence to enclose a square garden.How long,in feet was each side of Nicks garden?
Answer:
Each side is 14 ft.
Step-by-step explanation:
If there are 4 equal sides, you divide 56 by 4. That equals 14.
HELP ME PLEASE! SIMPLIFY EACH EXPRESSION: 1.) a(5x7). 2.) c + ( 17 + 8)
Step-by-step explanation:
1.)
a(5 x 7)
a(35)
35a
2.)
c + ( 17 + 8)
c + (25)
c + 25
can someone give me some examples of statistics PLEASE
Answer:
Weather Forecasts,Genetics,Medical Studies i think
Step-by-step explanation:
Find the common difference of the arithmetic sequence 13,10,7
Answer:
-3 I think
Step-by-step explanation:
well 10-7=3 and 13-10=3
but since it is greater number first it would make it a -3
6 mor to go thanks you
Answer:
BGC
Step-by-step explanation:
They are both on a straight line and add up to 180 degrees.
Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand. y = 9x Part A: How many more dollars is the price of a box of Luke's original brand of cereal than the price of a box of the super-saving brand? Show your work.
Answer:
Part A:
Luke's original box of cereal costs $2 more than the super-saving brand.
y=9(1)
y=9
11-9=2
Part B:
y=9(6)
y=54
11x6=66
66-54=12
Luke saves $12 each month if he buys 6 boxes of the super-saving brand.
pls mark brainliest
