Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3,800 kg (kilograms), and the median mass was 3,600 kg (kilograms). The heaviest elephant, named Omar, was recorded as 6,000 kg (kilograms). Liam then found out that Omar's mass was written down incorrectly, and that Omar actually has a mass of 7,000
How will increasing Omar's mass affects the mean and median?
Choose 1 answer:
A: Both the Median and Mean will increase
B: The median will increase, and the mean will stay the same.
C: The mean will increase, and the median will stay the same.
D: The mean will increase, and the median will decrease.
Answer:
Leo has b boxes of pencils. each box contains 6 pencils. he has a total of 42 pencils. the equation that represents this situation the value of b that makes the equation true the first one is b+6=42,6b=42,b=42+6,or 42b=6 the second one are 7,836 48
Step-by-step explanation:
/
Answer:
Here's the answer! The mean will increase and the median will stay the same.
Step-by-step explanation:
The mean is the average, so if you have larger numbers, the mean will go up, since 6,000 was changed to 7,000 the mean will increase.
For the median, the median is the number in the middle so the other numbers don't really matter, because 7,000 would be the last number in the data set, (it will be last because to find the median you have to order the numbers in least to greatest) it won't change anything because, only the number in the middle numbers
Unrelated to the question but if you need to find the median and the data set has an even amount of numbers, take the 2 numbers in the "middle" and add them together and then divide them by 2.
Example: 3, 8, 17, 23
add 8 and 17 together, divide by 2, you will get 12.5
hence the median is 12.5 of the data set in the example.
Tip: if you have a larger data set, (more numbers, i'm not talking about the value of a number) try crossing out one number from each side, repeat until you get to the middle then you have your median, if there's an even amount of numbers, remember, add then divide by 2!
Hope this helps!
Dang I really took the time to type all that-
If this does help, I'd appreciate getting brainliest.
Have nice day!
What type of associate is it ? I believe it’s a strong negative since the dots are going down and a straight line
Looking at the graph
we have that
A negative correlation is when one of two variables increases in value while the other decreases
In this problem, we have a negative correlation and a strong connection between the two variable
therefore
the answer is a strong negative correlation
The area of one of the bases of the figure shown above is about 6.9 cm^2. What is the surface area?
Answer:
Step-by-step explanation:
adadadadadadadadadadadada
HELP ASAP! 20 POINTS
Translate the sentence into an equation
the sum of 3 times a number and 8 is 5
(use the variable x for the unknown number
Answer:
3(x+8)=5
Step-by-step explanation:
Hope it's correct and sorry if it's not
Answer:
8+5 (3 times x)
Step-by-step explanation:
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A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers?
Answer:
D.)25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275
Step-by-step explanation:
A team t-shirt costs $3 per adult and $2 per child.
Let the number of children be = c
Let the number of adults be = a
A team t-shirt costs $3 per adult that is 3a and $2 per child that is 2c, also given is that the total money collected is $275, so equation becomes:
On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, equation becomes:
Now to know the number of children and adult, we can check by plugging in the values from options provided.
25 children and 75 adults = 25(2)+75(3)=50+225 =275
what is the ratio of 7:21:35?
Answer:
49
Step-by-step explanation:
49 because 14 is added everytime
9,15,21 because 6 is added everytime
Hope it helps!
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Solve by Factoring:
2x^2 - x - 3 = 0
Answer:
x = 3/2 or x = -1
Step-by-step explanation:
2x² - x - 3 = 0
2*(-3) = -6
Factors of -6:
(-1, 6), (1, -6), (-2, 3), (2, -3)
We need to find a pair that adds up to the co-eff of x which is (-1)
Factors :(2,-3)
2 - 3 = -1
so, 2x² - x - 3 = 0 can be written as:
2x² + 2x - 3x - 3 = 0
⇒ 2x(x + 1) -3(x + 1) = 0
⇒ (2x - 3)(x + 1) = 0
⇒ 2x - 3 = 0 or
x + 1 = 0
⇒ 2x = 3 or x = -1
⇒ x = 3/2 or x = -1
Please look at the photo for the question. Thank you!
The function g(x) = x² + 4x has a: A. minimum.
The minimum value occur at x = -2.
The function's minimum value is -4.
How to determine the axis of symmetry and vertex of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function g(x) = x² + 4x, we have:
a = 1, b = 4, and c = 0
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(4)/2(1)
Axis of symmetry, Xmax = -2
Next, we would determine vertex as follows;
g(x) = x² + 4x
g(-2) = -(-2)² + 4(-2)
g(-2) = -4.
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Find the slope of a line parallel
to 2y= 6x+8
The slope of a line parallel to 2y= 6x+8 is 3.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:
m₁ = m₂
By making y the subject of formula, we have:
2y = 6x + 8
y = 3x + 4
Therefore, the slope is 3.
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Find the value of 35÷c when c= 7.
Answer:
5
Step-by-step explanation:
when c = 7,
substitute 7, into 35÷c
35 ÷ 7 = 5
The line AB is shown on the grid.
0%
6-
a) Find the gradient of a line
perpendicular to AB.
5-
3-
b) Find the equation of the line
perpendicular to AB and passing
through the midpoint of AB.
B В
+
Х
-B
LE
0
ab
А
2-
Answer:
1) The gradient of a line perpendicular to AB.→ [-2}
2) The equation of the line perpendicular to AB and passing
through the midpoint of AB. →[y=-2x+6]
\(---------\)
hope it helps....
have a great day!!
Answer:
-2
Step-by-step explanation:
yep
pls help will give brainliest
Given f(x)=2/x^2+3x-10, which of the following is true?
A. f(x) is positive for all x<-5
B. f(x) is negative for all x<-5
C. f(x) is positive for all x<2
D. f(x) is positive for all x>2
The only true statement about the domain of the given function is:
B. f(x) is negative for all x < -5
How to solve for the domain of the function?The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).
Now, we are given the function as:
f(x) = \(\frac{2}{x^{2} } + 3x - 10\)
When x < -5, we have:
f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)
f(-4) = -21.875
This suggests that for all values below x = -5 will result in negative values
When x > 2
f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)
f(3) = -0.78
Thus, it will get positive for higher values but it can also be negative as seen here.
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Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
what number represents the same amount as 2 hundreds + 12 tens + 6 ones ?
Answer:
326
Step-by-step explanation:
The value of the given expression is 326.
Given:
The given expression 2 hundreds + 12 tens + 6 ones.
To find:
The value of the given expression.
Explanation:
The numeric form of given expression is:
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
Therefore, the value of the given expression is 326.
Look at this set of 7 numbers. 3275951 by how much would the median decrease if the number 3 were added to the set? Hurry pleaseeeeee
3 1/3(1+2x)= 5 1/2(2x-1)
Step-by-step explanation:
=> The simplest form of
56
:
98
56:98 is
4
:
7.
4:7.
Step-by-step explanation:
Given ratio -
56
:
98
56:98
We have to reduce it to its simplest form,
For that, we have to find the GCD of the numerator as well as the denominator:
So, the GCD for
56
56 and
98
98 is
14.
14.
Now, divide both the numerator and denominator by the GCD:
=
>
56
÷
14
98
÷
14
=>
98÷14
56÷14
=
>
4
7
=>
7
4
Hence, the simplest form is
4
:
7.
4:7.
Find the missing sides
Answer: x =1/2
y = \(\sqrt{3}\)/2
Step-by-step explanation:
5 Signs for science project displays are cut of poster board that measure 1 yard on each side. Each sign is-yard long and-yard wide. How ma signs can be cut from 1 piece of poster board? Wh the area of each sign? Show your work.
Answer:
\(\text{27}\)
Step-by-step explanation:
Given that :
\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)
\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)
Number of poster signs that can be cut :
\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)
\(\text{Area of poster board} = 1 \ \text{yard}^2\)
Number of poster signs that can be cut :
\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)
\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)
\(1 \div \dfrac{1}{27}\)
\(1 \times \dfrac{27}{1}\)
\(\bold{= 27 \ poster \ signs}\)
How to workout 2 3/5 x 3 1/3
Answer:
26/3 or 8 2/3
Step-by-step explanation:
= 13/5 x 10/3
= 13 x 10
5 x 3
= 130/5
= 26/3
= 8 2/3
Kwame is given the graph below.
Which of the following best describes the graph?
a quadratic equation with differences of 1, then 2, then 4, ...
an exponential function with a growth factor of 2
a quadratic function with a constant difference of 2
an exponential function with growth factors of 1, then 2, then 4, ..
The best description of the graph is "a quadratic function with a constant difference of 2."
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.
In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.
On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.
Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.
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Suppose tan(b) = -2, and the terminal side of b is located in quadrant II. What is cot(b)?
Suppose tan(b) = -2, and the terminal side of b is located in quadrant II, then cot(b) = -1/2
Note that:
tan(b) = Opposite/Adjacent
Comparing the above relationship with tan(b) = -2/1:
Opposite = -2
Adjacent = 1
Also note that:
cot(b) = 1/tan(b)
cot(b) = Adjacent/Opposite
Substitute opposite = -2 and adjacent = 1 into the expression for cot(b)
cot(b) = -1/2
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What is the rate of return when 12 shares of Stock
A, purchased for $22/share, are sold for $465? The
commission on the sale is $9.
Rate of Return = profit or loss
total cost
First, calculate the total cost.
Hint: 12 shares were purchased for $22
each. So first, we'll multiply 12 - 22.
12- $22= $[?]
The rate of return of the 12 shares purchased by A is 72.72%.
Here, we are given that A purchases 12 shares at $22 per share.
So the cost price of 12 shares will be = 12 × 22
= 264
A sold these shares at $465.
The commission on sale = $9.
Thus, the total cost of the shares will be = 264 + 9
= $273
Hence, the total profit of A will be-
465 - 273
= 192
The rate of return is calculated as-
Rate of return = profit/cost price × 100
Thus, here-
Rate of return = 192/264 × 100
= 0.7272 × 100
= 72.72%
Thus, the rate of return on these 12 shares purchased by A is 72.72%.
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HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??
Step-by-step explanation:
slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.
y=mx+b
the y-intercept is always be so graphing is now easy
put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical
now to make a equation for a point you put it in y=mx+b.
please mark me brainliest if this helped
If you know the answer I will give a hundred brainist
Answer:
18.09
Step-by-step explanation:2.4x2.4, then x3.14
Answer:
answers below
Step-by-step explanation:
If you are trying to find the area the answers are:
Earth= 289.52918
Saturn=6,532.5021
The formula for area for a sphere is:
4 x pie x r2
If you are trying to find the volume the answers are:
Earth=57.90584
Saturn=46,647.01596
The formula for volume for a sphere is:
4/3 x pie x r3
Also the radius (r) is half of the diameter, so you divide the diameter by 2.
a piece of pipe is 40in. long. It is cut in to 3 pieces. the longest piece is 3 times as long as the middle sized piece and the shortest piece is 23 in. shorter than the longest piece. Find the lengths of all 3 pieces of pipe.
The length of shortest piece is 4 inches, middle sized piece is 9 inches and that of longest piece is 27 inches.
According to the question,
We have the following information:
A piece of pipe is 40in. long. It is cut in to 3 pieces. The longest piece is 3 times as long as the middle sized piece and the shortest piece is 23 in. shorter than the longest piece.
Let's take the length of middle sized piece to be x inches.
Length of longest piece = 3x inches
Length of shortest piece = (3x-23) inches
Now, we have the following expression:
x+3x+3x-23 = 40
7x-23 = 40
Adding 23 on both the sides:
7x = 40+23
7x = 63
Dividing by 7 on both the sides:
x = 63/7
x = 9 inches
Length of longest piece = 3*9 inches
Length of longest piece = 27 inches
Length of shortest piece = (27-23) inches
Length of shortest piece = 4 inches
Hence, the length of shortest piece is 4 inches, middle sized piece is 9 inches and that of longest piece is 27 inches.
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help me fast plsssdsssssss
Mr Tan bought a house for $410 000. He paid a deposit of 30% and took on a loan for the remaining amount. How much was his loan? Give your answer
correct to the nearest ten thousands.
Answer:
The amount of the loan Mr. Tan borrowed was $ 287,000.
Step-by-step explanation:
Since Mr. Tan bought a house for $ 410,000, paying a deposit of 30% of its value and requesting a loan for the rest of its value, to determine the amount of the loan, the following calculation is required:
100 - 30 = 70
410,000 x 0.70 = X
287,000 = X
Therefore, the amount of the loan Mr. Tan borrowed was $ 287,000.
D is 12.5% if you were wondering I really need help
Answer:
b 15% light green is the correct answer
Answer:
D - 12.5%
Step-by-step explanation:
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Determine how many two-digit numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum is $132.$
$\textbf{(A) }5\qquad\textbf{(B) }7\qquad\textbf{(C) }9\qquad\textbf{(D) }11\qquad \textbf{(E) }12$
132 is the total of all two-digit numbers and their reversal digits. The solution is (C) 9. Nine two-digit numbers, including 21 + 12 = 33, 32 + 23 = 55, 43 + 34 = 77, 54 + 45 = 99, 65 + 56 = 121, 76 + 67 = 143, 87 + 78 = 165, 98 + 89 = 187, and 109 + 901 = 132, meet this characteristic.
132 is the total of all two-digit numbers and their reversal digits. We must look at all potential two-digit numbers and add the number to its reversed digits in order to count the number of two-digit numbers that satisfy this property. The range of the two-digit numbers is 10 to 99. Starting with the number 11, which does not satisfy the stated criteria because 10 + 01 = 11 is not equal to 132. Then, we will look at 11 + 11, which is not equal to 132, and find that it is 22. This method will be repeated until a two-digit number is found that meets the specified attribute. As an illustration, 21 + 12 Equals 33, which is not the same as 132. This technique will be repeated until a two-digit number, such as 65 + 56 = 121, is found that satisfies the property. This operation will be repeated until nine two-digit values, such as 109 + 901 = 132, satisfy the property. As a result, the response is (C) 9.
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