Answer:
a. 228- 6th, 489- 17th, 524- 28th, 597- 39th, 623- 50th, 659- 61th, 736- 72th, 777- 83th, 804- 94th
b. 597
Step-by-step explanation:
arrange the data:
228, 489, 524, 597, 623, 659, 736, 777, 804
a. percentile = ((number of items below position + 0.5)/ number of items ) 100
for 228 = (0+0.5/ 9) 100 = 6th
for 489 = (1+0.5/ 9) 100 = 17th
for 524 = (2+0.5/ 9) 100 = 28th
for 597 = (3+0.5/ 9) 100 = 39th
for 623 = (4+0.5/ 9) 100 = 50th
for 659 = (5+0.5/ 9) 100 = 61th
for 736 = (6+0.5/ 9) 100 = 72th
for 777 = (7+0.5/ 9) 100 = 83th
for 804 = (8+0.5/ 9) 100 = 94th
b. The corresponding value for the 40th = number of item( percentile)/ 100
= 9( 40) / 100 = 3.6 approximately 4th which is 597
how to find rations in triangles
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
You can use the formula A = 252 + 4sh to find the surface area of a square prism
that has a base with edge length s and height h. A square prism has a base with
edges that are 12 centimeters long and a height of 15 centimeters. What is the
surface area of the square prism? Show your work.
Please answer fast!! I’m in a test. Give the full explanation
Answer:
The surface area is 972 square cm
Step-by-step explanation:
Numeric Value of Functions
Given the function:
A = 252 + 4sh
Where A is the surface area of a square prism , s is edge length of the base h is the height.
A square prism has a base with edges s=12 cm long and height of h=15 cm.
Substituting these values, we get:
A = 252 + 4(12)(15)
A = 252 + 720 = 972
A = 972
The surface area is 972 square cm
The surface area of the square prism is 1008 cm².
Surface area of a square prism:
Surface area = 2s² + 4shwhere
s = edge side
h = height
Therefore,
s = 12 cm
h = 15 cm
surface area = 2 × 12² + 4 × 12 × 15
surface area = 2 × 144 + 48 × 15
surface area = 288 + 720
surface area = 1008
surface area = 1008 cm²
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x divided by 39 = 1204 R38
Answer:
x=46994
Step-by-step explanation:
Just do 1204 38/39 * 39 to get x=46994
Caleb started with 50 bacteria for his science experiment, and the number of bacteria doubled in one day. Jenna also started with 50 bacteria for her experiment, and after one day the number of bacteria was equal to 50 to the second power. Who had more bacteria at the end of one day?
Answer:
100+50²=2600
Step-by-step explanation:
because 50x2=100 and 50² is 2500. Add those and you get 2600.
write the value of 50 times the sum of 64 and 36
Answer:
500 :)
Step-by-step explanation:
Find the 57th term of the following arithmetic sequence.
5, 14, 23, 32,
Answer:
509
Step-by-step explanation:
formula
L = a + (n - 1)*d
Givens
n = 57
a = 5
d = 9
Solution
t = 5 + (57 - 1)*9
t = 5 + 56*9
t = 5 + 504
t = 509
t = 556
Paul and Kristen have planned a long hike. They will both travel the same route and will not stop. Paul starts two hours before Kristen. He walks three miles per hour and does not slow down or speed up. If Kristen walks four miles per hour, and does not slow down or walk faster, how many miles must she walk to catch up with Paul?
Answer:
Kristen should walk 12 miles to catch up with Paul
Step-by-step explanation:
Paul = 2hrs earlier
= walks at 3 miles per hour
= 3miles x 2 hrs = 6 miles
covers 6 miles at the time Kristen starts
Kristen = 4 miles per hour
Paul has a lead of 6 miles.
if Kristen walks another hour of 4 miles she would have covered 8 miles and Paul would have covered 9 miles and if Kristen were to cover one more hour,
Kristen would be at 12 and so would Paul.
Kristen should walk 12 miles to catch up with Paul
a baseball player got 13 hits in 50 times at bat. what percent of her times at bat did she get a hit
Answer:
26%
Step-by-step explanation:
Which action would violate the Ninth Amendment?
speaking with a pharmacist about a prescription
accusing a political opponent of dishonest behavior
publishing a family recipe in a community cookbook
obtaining unauthorized personal information from a website
Answer:
d
Step-by-step explanation:
The action that would violate the Ninth Amendment would be:
d) Obtaining unauthorized personal information from a website.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Today, the Ninth Amendment is used mainly to stop the government from expanding their power rather than just limiting their power.
The 9th amendment means that even if a right is not specifically mentioned in the Constitution, it still belongs to the people.
For example, in this case, the right to privacy. It's not specifically mentioned in the Constitution, but it is still a right that the government cannot take away.
Thus, The action that would violate the Ninth Amendment would be:
d) Obtaining unauthorized personal information from a website.
Learn more about the mathematical expression visit:
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Which expression represents 6 less than a number, n?
Answer:
n-6
Step-by-step explanation:
less than is subtraction
6 is taken away from n
n-6
When the Fed is concerned about inflation, it will likely do which of the following?
Answerj, C v v .
Step-by-step explanation:
Mandy and her mom are making homemade play-dough. Besides the flour, the recipe calls for 1/4 cup of salt for every 3/4 cup of water
used. How much salt would they need if they used one cup of water?
Answer:
about a half teaspoon
Step-by-step explanation:
A number is chosen at random from 1 to 50. Find the probability of selecting factors of 36.
Answer:
1/50 2%
Step-by-step explanation:
1 divided by 50
Find the angle PQR [Geometry]
Answer:
5⁰
Step-by-step explanation:
Angle on A STRAIGHT line sums up to 180⁰
angle PQR and angle RQS are both on a straight line therefore they sum up to 180⁰
4x+129+5x+6=180
then here you group like terms
4x+5x=150-129-6
9x=45
divide both sides by 9
9 dividing 45 is 5
5/6 + 3/4 + 2/3 pls
Answer:
2.25 i believe
Step-by-step explanation:
What is the value of n in this equation?
7^6·7^3=7^n
Answer: n = 9
Step-by-step explanation:
first, we calculate the first equation.
7^9 = 7^n
then, we set the exponents as equal.
9 = n
then, we simply swap the sides.
n = 9
How many different combinations are there for the word MATH
Answer:
[tex]Combination = 24[/tex]
Step-by-step explanation:
Given
MATH
Required
Number of combination
First, we count the letters in MATH
There are 4 letters;
So:
[tex]n = 4[/tex]
Since, no letter is repeated.
The number of combination is n!
This gives:
[tex]Combination = 4![/tex]
[tex]Combination = 4*3*2*1[/tex]
[tex]Combination = 24[/tex]
What is the value of the expression
4.8-(2.5-6.3)
The sum of the measures of the interior angles of a polygon is known to be
between 2100 and 2200. How many sides does the polygon have?
Answer: 5 sides
Step-by-step explanation:
Can y’all please help me with this y=-16 + 29t+ 6
Answer: m=29
Step-by-step explanation:
Working alone, it takes Trevon eight hours
to pick forty bushels of apples. Brenda
can pick the same amount in 10.8 hours.
Find how long it would take them if they
worked together.
Answer
18.8 if they are picking 80 bushes and 9.4 if their
picking the forty bushes together
Step-by-step explanation:
What is the value of A if sin (A) = 3√2?
Not here
60
45
30
Answer:
sin A = √3/2sin A = sin 60°A = 60°Now, cot A = cot 60° = 1/√32cot² A - 1 = 2cot² 60° - 1= 2(1/√3)² - 1= 2/3 - 1 = -1/3Hence your required answer is -1/3Hope This Helps You!
Step-by-step explanation:
it might work
Kevin wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 28 feet and its width is 25 feet. Suppose each pack of seed
covers 14 square feet. How many packs of seed will he need to cover the backyard?
Answer:
50 packs.
Step-by-step explanation:
Given the following data;
Length = 28 feet
Width = 25 feet
Pack of seeds = 14 ft²
Since Kevin's backyard is a rectangle, we would find its area.
Area of rectangle = length * width
Substituting into the equation, we have;
Area of rectangle = 28 * 25
Area of rectangle = 700 ft²
Now to find the amount of pack of seeds required to cover the backyard.
Amount of pack of seeds = 700/14
Amount of pack of seeds = 50 packs.
What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
Answer:
y = - 1.5x - 15
Step-by-step explanation:
Step 1:
- 3x - 2y = 30 Equation
Step 2:
- 2y = 3x + 30 Add 3x on both sides
Step 3:
y = - 1.5x - 15 Divide 2 on both sides
Answer:
y = - 1.5x - 15
Hope This Helps :)
Answer: y = - 1.5x - 15
Step-by-step explanation:
First, we will add 3x to both sides of the equation.
-2y = 3x + 30
Next, we will divide 2 on both sides of the equation.
y = -1.5x - 15
Answer - y = -1.5x - 15
AE is an angle bisector of BAC if the measure of BAE = x + 30 and masure of angle EAC = 3x-10 determine Measure of angle EAC
The value of x for the given geometry will be 20°.
What is an angle?The angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that AE is a bisector of ∠BAE and ∠EAC
so,
∠BAE = ∠EAC
x + 30 = 3x - 10
x = 20°
Hence 20° will be the answer to the given question.
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Please help as soon as you can! Which of the following inequalities matches the graph?
(A) x> 4
(B) x< 4
(C) y > 4
(D) y < 4
Answer:
i believe the answer is B
1.Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method?
3x−6y=4
6x+11y=−2
(1 point)
Multiply the second equation by 12, so the x-variables are eliminated.
Multiply the first equation by 2, so the x-variables are eliminated.
Multiply the first equation by −11 and the second equation by 6, so the y-variables are eliminated.
Multiply the first equation by −2, so the x-variables are eliminated.
2.Given the following system, what should the second equation be multiplied by so that x is eliminated?
4x−y=9
x+3y=12
(1 point)
13
−4
−13
4
3.Solve the following system by the elimination method.
4x−2y=16
3x+6y=−18
(1 point)
(1, −5)
(3, −2)
(2, −4)
(0, −3)
4.Solve the system by the elimination method.
3x−5y=4
−9x+3y=−24
(1 point)
(8, 4)
(1, −1)
(3, 1)
(2, −2)
5.Manny says he should multiply the first equation in the system of equations below by 3 and the second equation by 2, then add to eliminate x. Is there a more efficient way to solve this system? Explain your answer.
−2x+y=15
3x+4y=−12
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
Answer:
456
Step-by-step explanation:
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
ANSWER FAST PLZ
find the height of a cone with a diameter of 12m whose volume is 113m3
A.2m
B.1m
C.9m
D.3m
Answer:
I'm pretty sure it's 3
Step-by-step explanation:
h=3(V/πr2)
I just plugged it into this equation
what does n equal? btw this is 6th grade! also < Is between 3 and 5
Answer:
n < 4
Step-by-step explanation:
[tex]\frac{1}{2} n+3<5[/tex]
-3 -3
[tex]\frac{1}{2} n[/tex] < 2
divide both sides by [tex]\frac{1}{2}[/tex]
n < 4
Hope this helps!!!
Pleaseeeeeeeeeee help :)
Answer:
12: 21 16:28
Step-by-step explanation:
4 pounds are equal to 7 packs. 4x3=12, and 7x3=21, and so on.