Answer:
D
Step-by-step explanation:
a. The median, or line in the middle, is the same for both
b. This is the start to end of the box. For the top one, we have 39-33=6. For the bottom one, we have 36-30=6. These are the same.
c. The range is the highest minus the lowest value. For the top one, this is 41-31=10. For the bottom one, this is 38-28=10. These are the same.
This leaves D as our answer
A university's freshman class has 5000 students. 90% of those
students are majoring in Economics. How many students in the
freshman class are Economics majors?
Answer:
4,500
Step-by-step explanation:
To find the number of students majoring in economics, you must turn 90% into a decimal making it .9.
Then you multiply the decimal to how many students there are (5000x.9) and that gives you 4,500.
Let point C be on circle A. If ∠BAC 5 radians and segment BC is 12cm, what is the length of the radius
Answer:
2.4 cm
Step-by-step explanation:
The formula we would use
S = rθ
Where S = Arc length
θ = central angle in radians
r = radius of the circle or length of the radius.
From the question, we can see that if
If C = a point on circle A
The Segment BC = The arc length of the circle = 12cm
∠BAC = central angle in radians = 5 radians.
Since, S = rθ,
Length of the radius = S/θ
= 12cm/5 radians
Length of the radius = 2.4 cm
Write an integer that represents 5 inches of snow melting. *
Answer:
-5
Step-by-step explanation:
There was five inches of snow, correct? Now, the five inches are melting. It's kinda like subtraction.
5 - 5
what is the answer to 200% of 32?
Answer:
200% of 32 would be : 32 x 200/100 = 32 x 2 = 64
Hope this helps!
:)
Answer:
64
Step-by-step explanation:
When you want to know the 200% of a number just simply multiply it by 2.
In general, if you were to face with questions like this, just remove the zeros in the percentage and multiply.
200% of 32
2 × 32 = 64
Help!
Thank you so much to whoever can help me!
Answer:
D for A then for B is C
Step-by-step explanation:
so if you calculate me but it is going to help you in this
Andrea brought $54.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was one-sixths as much as the sketchbook, and the sketchbook cost three-fourths the cost of the paint set. Andrea had $1.50 left over after buying these items.
Answer:
See explanation below
Step-by-step explanation:
In this case, I'm assuming you want to know the price of all items purchased by Andrea.
Let's gather all the data.
Andrea has initially 54$. From that she got a Brush (B), a sketchbook (S) and a paint set (P). At the end, she has a left over of 1.5$, so she actually spends 52.5$, and our first equation would be:
B + S + P = 52.5 (1)
Now, the B cost 1/6 as the S, and S was 3/4 the paint set, so oru equations here would be:
B = 1/6S (2)
S = 3/4P (3)
Now, according to this we can write the (1) expression in function of (2) and (3).
Replacing (3) in (2):
B = 1/6 (3/4P)
B = 3/24P
B = 1/8P (4)
And replacing (3) and(4) in (1) we have:
1/8P + 3/4P + P = 52.5
From here we can solve for P:
15/8P = 52.5
P = 52.5 * 8 / 15
P = 28.16$
Now we can replace this value to get the Sketchbook, and then, the brush:
S = 3/4 * 28.16
S = 21.12$
B = 1/6 * 21.12
B = 3.52$
These values would be the price of all items.
A flagpole is 10 m tall and has a shadow that is 7 m long. At the same time how tall is a nearby building if its shadow is 28m long?
Answer:
40m
Step-by-step explanation:
28÷7=4
10 x 4= 40
Determine the solution that exists to the equation below.
8(j-4)=2(4j-16)
Answer:
infinite solutions
Step-by-step explanation:
8(j-4)=2(4j-16)
Distribute
8j - 32 = 8j - 32
Subtract 8j from each side
8j-8j -32 = 8j-8j -32
-32 = -32
This is always true so there are infinite solutions
Answer:
All Real Numbers Are Solutions
Explanation:
8(j − 4) = 2(4j − 16)
[ Simplify both sides of the equation ]
8(j − 4) = 2(4j − 16)
(8)(j) + (8)(−4) = (2)(4j) + (2)(−16) (Distribute)
8j + −32 = 8j + −32
8j − 32 = 8j − 32
[ Subtract 8j from both sides ]
8j − 32 − 8j = 8j − 32 − 8j
−32 = −32
[ Add 32 to both sides ]
−32 + 32 = −32 + 32
0 = 0
Therefore, all real numbers are solutions.
can someone help me with this please
(3/5)/2=(1/4)/x solve for x
Answer:
[tex]x=\frac{6}{5}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} / 2=\frac{3}{10}[/tex]
[tex]\frac{3}{10} =\frac{1}{4} x[/tex]
[tex]x=\frac{6}{5}[/tex]
Answer:
x=
[tex] \frac{5}{6} [/tex]
Step-by-step explanation:
(3/5)/2=(1/4)x
3/10=1/4x
12x=10
x=10/12=5/6
find the relative minimum of y = 3x^3 + 12x^2 - 10x - 56
(___, __)
Round your answers to the nearest tenth
Answer:
(0.4, -57.9)
Step-by-step explanation:
y = 3x³ + 12x² - 10x - 56
dy/dx = 9x² + 24x - 10 = 0
x = [-24 +/- sqrt(24² - 4(9)(-10))]/(2×9)
x = -3.033006505, 0.3663398379
d²y/dx² = 18x + 24
For minima, d²y/dx² > 0 which is at x = 0.3663398379
y = 3(0.3663398379)³ + 12(0.3663398379)² - 10(0.3663398379) - 56
y = -57.90544608
What is the greatest common factor of 9 and 14?
Answer:
1
Step-by-step explanation:
The factors of 9 are 9, 3, 1The factors of 14 are 14, 7, 2, 11 is the only number that can be divided into 9 and 14 without a remainder.The greatest common factor GCF of 9 and 14 is 1.
What is the greatest common factor of the given numbers?Given the numbers in the question:
9 and 14
To find the greatest common factor of two numbers, we need to identify all the factors of each number and then determine the greatest number they have in common.
First:
Factors of 9 are 1, 3, and 9, as these are the whole numbers that divide 9 without leaving a remainder.
Next,
Factors of 14 are 1, 2, 7, and 14, as these are the whole numbers that divide 14 without leaving a remainder.
The common factors of 9 and 14 are 1 since it is the only number that divides both 9 and 14.
Therefore, the greatest common factor of 9 and 14 is 1.
Learn more about greatest common factors here: https://brainly.com/question/29584814
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what is the answer to x= ??
Answer:
x=3.8
Step-by-step explanation:
Divide 5 by 9 to get the ratio in which the figure was reduced, then multiply this by 7 to get the value of x. In other words, 5/9x7= x
Mr. Chandra drives to and from work each weekday. His trip is 15 miles one way. How many miles does he drive to and from work each week?
Answer:
150 is the answer I hope it helps
Answer:
150 miles
Step-by-step explanation:
15 x 2 x 5 = 150
2 times a day for 5 days
18 - 3 x 2/ 5-1 squared
Answer:-3/5x(squared)+17
Step-by-step explanation:
Simplify and combine like terms
Anne Deno purchased a house to fix up and use as a rental property. The house sold for $123,400. Anne made a $23,400 down payment and mortgaged the rest. Her annual expenses for mortgage interest, taxes, repairs, insurance, and depreciation totaled $8,750. Anne rented the house for $960 per month. What is the annual net income?
Answer:
The annual net income is $2770
Step-by-step explanation:
The annual net income on the rental property is the yearly rental minus the yearly annual expenses which consist mortgage interest,taxes, repairs,insurance as well as annual depreciation totaling $8,750
Annual rental =monthly rental* 12 months=$960*12=$ 11,520.00
Annual net income=$ 11,520.00-$8,750.00=$2,770
The annual net income is the gain that accrues to Anne Deno for purchasing the rental property and the subsequent letting to tenants
use the rules of significant figures to simplify the following expression: 31.5 x 10.51
Answer:
31.5×10.51
315/10×1051/100
331065/1000
331.065
HELP PLEASE!!!! Both of the questions follow with the chart
Answer:
1. 0.75
2. 0.25
Step-by-step explanation:
Let's start off with number 1
There is only 2 answers that would make sense.
0.6 and 0.75
But only one is the answer
To find the answer you have to go to the columns that represent the equation
Then you divide
108/144
= 0.75
Now in number 2
You have to place the information in the graph where it corresponds and you get the numbers 24/96
Now divide
24/96
=0.25
Hope this helped :)
Have a good one!
Answer:
Let's denote:
probability that a person paid regular admission P(A)
probability that a person purchased no snack P(B)
probability that a person got discount on admission P(C)
probability that a person purchased snack P(D)
For picture 1
Applying Bayes theorem, we have:
probability that a person paid regular admission, given that person purchased no snack : P(A|B) = P(A ∩ B)/P(B) = (108/240)/(144/240) = 108/144 = 0.75
=> Option D is correct
For picture 2
As shown in picture, we have:
probability that a person got discount on admission and purchased snack:
P(C ∩ D) = 24/240 = 0.1
=> Option C is correct
Hope this helps!
:)
If there is a bag of 3 blue cubes, 8 red cubes, and 4 yellow cubes and you drew from the bag 360 times, what is the probability of pulling a blue cube.
Answer:
After 360 attempts, there's a 100% probability of picking a blue cube.Step-by-step explanation:
There are 3 blue cubes, 8 ref cubes and 4 yellow cubes, which gives a total of 15 cubes.
Now, if you pick 360 times from the bag, the chances to get a blue cube is 100%, because there's only 15 cubes in total. For trial number 16, you wouldn't have any more cubes.
Therefore, after 360 attempts, there's a 100% probability of picking a blue cube.
Rewrite the function by completing the square.
h(x)=4x^2-36x+81
Answer:
y = 4 (x - 9/2) +0
Step-by-step explanation:
hope ot helps you
Answer:
here
Step-by-step explanation:
A soccer player uses her head to hit a ball up in the air from a height of 1 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by h = −4.9t2 + 5t + 1, where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it? Enter the time to two decimal places.
Answer:
It will take 1.19 seconds for the ball to hit the ground if no other players touch it
Step-by-step explanation:
The height of the ball after t seconds is given by the following equation:
[tex]h(t) = -4.9t^{2} + 5t + 1[/tex]
How long will it take the ball to hit the ground if no other players touch it?
This is t when h(t) = 0. So
[tex]-4.9t^{2} + 5t + 1 = 0[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]-4.9t^{2} + 5t + 1 = 0[/tex]
So [tex]a = -4.9, b = 5, c = 1[/tex]
So
[tex]\bigtriangleup = 5^{2} - 4*4.9*1 = 44.6[/tex]
[tex]t_{1} = \frac{-5 + \sqrt{44.6}}{2*(-4.9)} = -0.17[/tex]
[tex]t_{2} = \frac{-5 - \sqrt{44.6}{2*(-4.9)} = 1.19[/tex]
Since we want a time measure, the answer cannot be negative.
It will take 1.19 seconds for the ball to hit the ground if no other players touch it
Sharon has a rectangular bedspread that measures 3 feet by 5 feet. She wants to
sew a fringe around the edge of the bedspread.
What length of fringe does Sharon need to purchase?
feet
Sharon gets a new bedspread that is 1.25 feet longer.
What length of fringe does Sharon need for the longer bedspread?
feet
Answer:
18.5
Step-by-step explanation:
The length of fringe Sharon needs to purchase is: 16 feet
If Sharon gets a new bedsheet of 1.25 feet longer, she will need a new length of fringe of: 18.5 feet
Recall:
Perimeter of a rectangular = 2(length + width)
Given the following:
length of Sharon's rectangular bedspread = 3 feetwidth of Sharon's rectangular bedspread = 5 feetThe length of fringe Sharon will need to purchase = perimeter of Sharon's rectangular bedspread
Perimeter = 2(3 + 5) = 16 feet
For a new bedspread that is 1.25 feet longer, she would get the following length of fringe:
Length = 3 + 1.25 = 4.25 feet
Width = 5 feet
New Perimeter = 2(4.25 + 5) = 18.5 feet
Learn more about perimeter of rectangle on:
https://brainly.com/question/17297081
Jeff collected 100 baseball cards. Thirty-three of the cards are Cincinnati Reds players, and 22 of them are Cleveland Indians. Part B What decimal represents the part of the cards that are neither Cincinnati Reds nor Cleveland Indians?
Answer:
0.45.
Step-by-step explanation:
To find the solution to this question, we will first need to determine how many cards are neither Cincinnati Reds and Cleveland Indians. We can do this by:
100 - 22 - 33 = 45. This is the number of cards that are neither the two teams.
To convert this to a decimal, simply divide by 100, giving us:
45 ÷ 100 = 0.45.
Which is greater, 4.87 x 109 or 9.212 x 108?
Answer:9.212 x 108 is greater
Step-by-step explanation:4.87 x 109 =530.83
9.212 x 108 = 994.896
Which shows how 9.212 x 108 has a greater outcome than 4.87 x 109
Please help!
Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.
To the nearest cent, how much will he have in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 4,425.69
Step-by-step explanation:
A = $ 4,425.69
A = P + I where
P (principal) = $ 4,253.00
I (interest) = $ 172.69
Does this statement: The number of girls is double than the number of boys , apply to this this equation : G=2B ,or the statement that I made is not correctly worded for that equation ???
•Would this statement be for that equation G=2B , : the number of boys is double the number of girls .
?? Someone help me I’ve been thinking about this and is making me bothersome.
Answer: It sounds as if you worded it correctly the first time, though for a math assignment, I probably wouldn't use the term "doubled" (though it is technically correct)
Step-by-step explanation:
G = 2B is "The total number of girls is two times the number of boys"
B = 2G is "The total number of boys is two times the number of girls"
Which equation can be used to solve for x?
Choose from the Equation Bank
Answer:
[tex]\frac{x-14}{2}=24[/tex]
Step-by-step explanation:
In the given figure two secants are intersecting outside the circle.
Angle formed by these secants = 24°
Measure of arcs intercepted = x° and 14°
Formula to get the unknown chord is,
24° = [tex]\frac{1}{2}(x-14)[/tex]
Therefore, equation (2) given in the equation bank will be used.
By further solving for the value of x,
24×2 = ( x - 14)
48 = x - 14
x = 48 + 14
x = 62°
Use the information provided to write the equation of each circle. Photo attached
Answer:
( x + 4 )^2 + ( y - 15 )^2 = 1; Option A
Step-by-step explanation:
~ Let us apply the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2, provided r ⇒ radius when centered at point ( a, b ) ~
1. If the center is provided to be ( -4, 15 ) we could substitute this value into the circle equation with variables x and y remaining such:
( x - ( - 4 ) )^2 + ( y - 15)^2 = r^2
2. Simplifying this equation, we have: ( x + 4)^2 + ( y - 15 )^2 = r^2
3. Now by point on the circle, it would be a point on the circumference, to be clear in more mathematical terms. So far we have eliminated two options, with two remain - and each of them has either a radius of 1 or 2. If the point on the circle is ( -4, 16 ) that would mean 1 more than 15, which means that with a radius of 1 ⇒ this point will be on the circle.
Answer: ( x + 4 )^2 + ( y - 15 )^2 = 1
Question 6 Nicole split 5/6 pounds of candy among 3 people. What is the unit rate in pounds per person? Write your answer in simplest form.
Answer:
I'm glad you asked!
Step-by-step explanation:
5/18 pounds per person.
he problem already says what to do, we need to divide because that's what Karen is doing, she is spliting or dividing the pounds of candy for 3 people. So, we just need to divide 5/6 by 3,
[tex]\frac{5}{6} \div 3 = \frac{5}{6} \times \frac{1}{3} =\frac{5}{18}[/tex]
5/18 per person.PLZZZZ HELP WILL MARK BRAINLIEST IF CORRECT
8. While doing bicep curls, Tamara applies 155 Newtons of force to lift the dumbbell. Her forearm is 0.366 meters long and
she begins the bicep curl with her elbow bent at a 15° angle below the horizontal, in the direction of the positive x-axis.
Determine the magnitude of the torque about her elbow.
(Show work)
Answer:
54.8 Nm
Step-by-step explanation:
Torque is the cross product of the radius vector and force vector:
τ = r × F
Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.
τ = rF sin θ
Here, r = 0.366 meters and F = 155 Newtons. F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.
τ = (0.366 m) (155 N) (sin 75°)
τ = 54.8 Nm
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