Answer:
0.76
Step-by-step explanation:
The mean of the data including the outlier is:
Mean = (40.55 + 41.51 + 42.01 + 38.76 + 36.32 + 34.28 + 35.38 + 37.48 + 40.87 + 48.32 + 41.59 + 42.71)/12 = 39.98 seconds.
In this case, the outlier comes to be the data: 48.32. If we don't consider that data point, the mean equals:
Mean = (40.55 + 41.51 + 42.01 + 38.76 + 36.32 + 34.28 + 35.38 + 37.48 + 40.87 + 41.59 + 42.71)/11 = 39.22
The difference is: 39.98 - 39.22 = 0.76
Answer:
C . 0.76
Step-by-step explanation:
We are given that on the first of each month , Shelly runs a 5 k race. She keeps track of her times to track her progress. Her time in minutes is recorded in the table:
Jan 40.55 Feb 41.51
March 42.01 Apr 38.76
May 36.32 June 34.28
July 35.38 Aug 37.48
Sept 40.87 Oct 48.32
Nov 41.59 Dec 42.71
We have to find the difference between the mean of the data , including the outlier and excluding the outlier
Outlier: That observation which is different from other observations.
The outlier in the given observations is 48.32 because is different from other observations.
Mean of the data including the outlier
Mean =[tex]\frac{Sum \;of\;observations}{Total\;number\;of\;observations}[/tex]
Mean=[tex]\frac{40.55+41.51+42.01+38.76+36.32+34.28+35.38+37.48+40.87+48.32+41.59+42.71}{12}[/tex]
Mean=[tex]\frac{479.78}{12}[/tex]
Mean=39.982
Mean of the data excluding the outlier
Mean=[tex]\frac{40.55+41.51+42.01+38.76+36.32+34.28+35.38+37.48+40.87+41.59+42.71}{11}
Mean=[tex]\frac{431.46}{11}[/tex]
Mean=39.224
Difference between mean of the data including the outlier and excluding the outlier=39.982-39.224=0.758
Difference between mean of the data including the outlier and excluding the outlier=0.76
Answer Answer:
Step-by-step explanation:
We are given that on the first of each month , Shelly runs a 5 k race. She keeps track of her times to track her progress. Her time in minutes is recorded in the table:
Jan 40.55 Feb 41.51
March 42.01 Apr 38.76
May 36.32 June 34.28
July 35.38 Aug 37.48
Sept 40.87 Oct 48.32
Nov 41.59 Dec 42.71
We have to find the difference between the mean of the data , including the outlier and excluding the outlier
Outlier: That observation which is different from other observations.
The outlier in the given observations is 48.32 because is different from other observations.
Mean of the data including the outlier
Mean =[tex]\frac{Sum \;of\;observations}{Total\;number\;of\;observations}[/tex]
Mean=[tex]\frac{40.55+41.51+42.01+38.76+36.32+34.28+35.38+37.48+40.87+48.32+41.59+42.71}{12}[/tex]
Mean=[tex]\frac{479.78}{12}[/tex]
Mean=39.982
Mean of the data excluding the outlier
Mean=[tex]\frac{40.55+41.51+42.01+38.76+36.32+34.28+35.38+37.48+40.87+41.59+42.71}{11}
Mean=[tex]\frac{431.46}{11}[/tex]
Mean=39.224
Difference between mean of the data including the outlier and excluding the outlier=39.982-39.224=0.758
Difference between mean of the data including the outlier and excluding the outlier=0.76
Answer :C . 0.76
What is the slope of the line that contains the point(-1,-2) and(4,3
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (4, 3)
m = [tex]\frac{3+2}{4+1}[/tex] = [tex]\frac{5}{5}[/tex] = 1
Given that the f(y) = y - 1 and g(y) = y^3 - 2y - 1, find (gof) (y)I and hence, (gof) (-6).
[tex](g \circ f)(y)=(y-1)^3-2(y-1)-1\\(g \circ f)(y)=y^3 - 3 y^2 + 3 y - 1-2y+2-1\\(g \circ f)(y)=y^3 - 3 y^2 +y\\\\(g \circ f)(-6)=(-6)^3-3\cdot(-6)^2+(-6)\\(g \circ f)(-6)=-216-108-6\\(g \circ f)(-6)=-330[/tex]
In the figure angle ZYX is measured in degrees The area of the shaded sector can be determined using formula m
Answer:
A sector is a portion of a circle, it is the area between to radii and the connecting arc. Imagining a circle as a cake, a sector would be equivalent to a slice of cake. Therefore the formula for the area of a sector is equivalent to the total area of the circle multiplied by the angle proportion of the sector. Where, angle proportion of the sector = angle of sector / total angle of circle (360 degree) With this, the correct answer is: "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer: Option A
The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.
Step-by-step explanation:
What is the range of the function y=square root x+5
Answer:
Range of the given function is [ 5 , ∞ )
Step-by-step explanation:
Given function is [tex]y\:=\:\sqrt{x}+5[/tex]
We need to find Range of the given function.
The Range of function is the set of all possible values of the dependent variable ( here, y ) , after substituting the value of domain.
We know that square root can not have negative value. So, Domain of the given function is all non negative real number.
That is Domain = { x : x ∈ R and x ≥ 0 } = [ 0 , ∞ )
Now for range,
put x = 0 in given function,
[tex]y\:=\:\sqrt{0}+5=5[/tex]
⇒ Minimum value of range is 5
put x = ∞ in given function,
[tex]y\:=\:\sqrt{\infinity}+5=\infinity+5=\infinity[/tex]
⇒ Maximum value of range is ∞
Thus, Range = { y : y ∈ R and y ≥ 5 } = [ 5 , ∞ )
Therefore, Range of the given function is [ 5 , ∞ )
Answer this question thanks
for this question, it ask you to draw out.
j + 6 ≥ 7
j ≥ 7 - 6
j ≥ 1
How to draw it:
1. draw a Solid point on the number"1".
2. draw a small vertical line on the top of the point.
3. draw a long horizontal line to number "1" 's right side, and add an arrow in the end of the line.
First bring 6 to the right side by subtracting 6 to both sides (what you do on one side you must do to the other). Since 6 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.
j + 6 ≥ 7
j + 6 - 6 ≥ 7 - 6
j + 0 ≥ 1
j ≥ 1
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
j ≥ 1
aka j is greater then or equal to one
This means that the graph will have an colored circle and the arrow will go to the right of 1. (look at the image below)
Hope this helped!
~Just a girl in love with Shawn Mendes
Please answer now!! (Math)
Answer:
2nd option
Step-by-step explanation:
Simplify first what is in the parenthesis before distributing the exponent outside would help.
Remember that negative exponents simply means that their on the wrong side of the fraction. So if you find a variable with a negative exponent as a numerator, you bring them down and when it is found as a denominator, you bring them up.
Also when you distribute your exponents, you always multiply it to each exponent inside the parenthesis.
Look at the attached picture for the solution
Answer:
[tex] \frac { 1 } { x ^ 2 1 y ^ { 1 2 } }[/tex]
Step-by-step explanation:
We are given the following expression and we are to simplify it:
[tex] [ \frac { ( x ^ { - 3 } ) ( y ^ 2 ) } { ( x ^ 4 ) ( y ^ 6 ) } ] ^ 3[/tex]
[tex]\frac{x^{-3\times 3}.y^{2\times 3}}{x^{4\times 3}.y^{6\times3} }[/tex]
[tex]\frac{x^{-9}y^6}{x^{12}y^{18}}[/tex]
[tex]x^{-9-12}.y^{6-12}[/tex]
[tex]x^-21.y^{-12}[/tex]
This can also be written as:
[tex]\frac{1}{x^21y^{12}}[/tex]
The price of a share of one stock fell from $8.75 to $8.54. Find the percent decrease. Round your answer to the nearest tenth of a percent.
8.54 / 8.75 =0.975
1 - 0.975 = 0.025
0.025 x 100% ( and nearest thenth)
=2.5%
Answer:
2.4%.
Step-by-step explanation:
Consider the formula for percentage change (Mathisfun)
[tex]\displaystyle \rm \text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\times 100\%[/tex].
Note that the old value shall be the one on the denominator.
For this question:
[tex]\displaystyle \rm \begin{aligned}\text{Percentage Change} &= \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\times 100\%\\ &= \frac{8.75 - 8.54}{8.75}\times 100\%\\&= -2.4\%\end{aligned}[/tex].
The value here is negative, but don't be alerted. A positive value of change indicates an increase, while a negative value of change indicates a decrease. In other words, the stock price dropped by 2.4%.
The school band sold T-shirts to raise money for an upcoming trip. The band sold 400 T-shirts on Saturday. On Sunday, it will sell 30 percent of that amount. Which statements are true about the number of T-shirts that the band will sell on Sunday?
Check all that apply.
A)The answer will be less than 400 because 30 is less than 100.
B)The answer will be greater than 400 because 30 percent is greater than 100.
C)(100)(4) = 400, so 30(4) is the number of T-shirts the band will sell on Sunday.
D)400 + 30 is the number of T-shirts the band will sell on Sunday.
E)The band will sell 430 T-shirts on Sunday.
F)The band will sell 120 T-shirts on Sunday.
multi choice question plz help
Answer:
The answer is A. C, and F i took a test and i got it right on edgnuity sis hope this helps
Add -3/x + 7y/x .
please
Answer:
7y - 3 / x
Step-by-step explanation:
So , first you have to Simplify y/x
( 0 - 3/x ) + ( 7 • y/x )
Then simplify 3/x
( 0 - 3/x ) + 7y/x
Then add the fractions which have a common denominator
(Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible)
-3 + 7y/x = 7y - 3/x
you'll get your answer as : 7y-3 / x
Answer:
[tex]\frac{7y-3}{x}[/tex]
Step-by-step explanation:
Since the fractions have a common denominator of x, combine them by adding the numerators and leaving the denominator, that is
[tex]\frac{-3+7y}{x}[/tex] = [tex]\frac{7y-3}{x}[/tex]
Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1?
6f – 1 evaluated at f = 9 is 53.
2f + 4f + 2 – 3 evaluated at f = 9 is also 53.
6f – 1 evaluated at f = 3 is 17.
What is 2f + 4f + 2 – 3 evaluated at f = 3?
iv been stuck for 10 min now
Answer:
Yes it is equivalent.
Step-by-step explanation:
In this case the only thing that you have to do to know if the two expressions are equivalent are put them on opposite sides of the equation like this:
6f-1= 2f+4f+2-3
When you simplify this you´ll end up with the next equation:
6f-1= 6f -1
In this case you can see that both expressions are equivalent because they are the same once you put them on opposite sides of the equation.
slope (4, -8), (4, 13)
Answer:
∞ or undefined
Step-by-step explanation:
The slope of a line that passes through two points A(x₁,y₁) and B( x₂,y₂) is found by finding the ratio of the change in y (y₂-y₁) to the change in x (x₂-x₁)
Thus the provided line has a slope of:
(13-⁻8)/(4-4)= 21/0
= ∞
This is a vertically perpendicular line through x=4
Find the area of the polygon.
Please helppp
Answer:
Step-by-step explanation:
area= base ×altitude
=9×4
=36 square units
Answer:
I Do RSM as well.
Step-by-step explanation:
The answer is going to be the base times the altitude. 9x4=36 sq units
Which of the following is the rule for the geometric
sequence 1, 3, 9, 27, ...?
Answer:
Multiply by three for every number 1*3 =3 3*3=9 9*3=27
Step-by-step explanation:
Common ratio of the geometric sequence is 3.
What is a geometric sequence?A geometric sequence is a sequence in which the ratio of two consecutive terms is a fixed ratio.
Given,
Geometric sequence: 1, 3, 9, 27
The ratio of second and first term = 3/1
= 3
Similarly, the ratio of third and second term = 9/3
= 3
Hence, the common ratio of the geometric sequence is 3.
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Find the roots of (x+2)(x-7)=0
Answer:
x = -2 or x = 7
Step-by-step explanation:
x - 7 = 0 or x + 2 = 0
x = 7 or x = - 2
Answer:
the roots are x = -2, +7
Step-by-step explanation:
The roots are the values of x that make one of the factors be zero. Whenever a factor is zero, the product is zero.
To make x+2 = 0, x = -2.
To make x-7 = 0, x = 7.
Find the value of Z.
A)7
B)9
C)11
D)12
[tex]2z-15=9\\2z=24\\z=12[/tex]
Which of the sequences is an arithmetic sequence?
O A. -3, -10,-17, -24, -31,...
O B. 1, -2,3,-4,5,
O C. 3,6,9,15, 24,
O D. 1, 8, 16, 24, 32,
Answer:
A
Step-by-step explanation:
there is a constant pattern from one term to another
add -7 to get to the next term
sequences A is an arithmetic sequence.
The answer is option A. -3, -10,-17, -24, -31.
What is an arithmetic sequence?
An arithmetic sequence is a chain wherein every time period will increase via including/subtracting some constant. It is in the evaluation of a geometric series wherein every term will increase by way of dividing/multiplying.
collection decided by a = 4 and d = 5. solution: To find a selected term of a mathematics collection, we use the formulation for finding the nth time period. Step 1: The nth term of a mathematics series is given by way of an = a + (n – 1)d. So, to locate the nth time period, substitute the given values a =4 and d = three into the components.
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Solve y = x + 6 for x.
A.x = y + 6
B.x = −y + 6
C.x = y − 6
D.x = −y − 6
Answer:
C) x = y - 6
Step-by-step explanation:
you have to make it in terms of x, or isolate x:
y = x + 6
- 6 from both sides
y - 6 = x + 6 - 6
combine 6 and -6
y - 6 = x
so, x = y - 6
Manny worked as a produce manager for
Harris Teeter. If 32 out of 50 customers
purchased bananas, what percent of customers
purchased bananas?
Answer: 64%
Step-by-step explanation:
You would divide 50 by 32 (32/50), and get the decimal 0.64. Multiply 0.64 by 100 and you will get 64, your percent.
The function y = 50x describes the distance Gary has traveled in miles after x hours. Use the graph to estimate how many miles Gary will travel in 8 hours.
We know that the equation is y = 50x and that x is the hours, since we need to know how many miles Gary will travel in 8 hrs plug 8 in for x and solve.
y = 50*8
y = 400
In 8 hrs Gary will travel 400 mi
Hope this helped!
~Just a girl in love with Shawn Mendes
PLEASE HELP: Choose the function whose graph is given by:
Answer:
The function of the graph is y = 3 cos (4x) ⇒ answer A
Step-by-step explanation:
- If the equation is y = A cos (B x)
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
* Lets look to the graph
- The maximum value is 3 and the minimum value is -3
∵ The height from the maximum point to the minimum point is
3 - (-3) = 3 + 3 = 6
∴ The amplitude is 6/2 = 3
∵ A is the amplitude
∴ A = 3
- The distance between two consecutive peaks is π/2
∵ The period is the distance from one peak to the next peak
∴ The period = π/2
∵ The period = 2π/B
∴ 2π/B = π/2 ⇒ divide both sides by π
∴ 2/B = 1/2 ⇒ by using cross multiplication
∴ B = 4
- Lets write the form of the function
∵ y = A cos (Bx)
∵ A = 3 and B = 4
∴ y = 3 cos (4x)
* The function of the graph is y = 3 cos (4x)
Find one value of x that is a solution to the equation:
(3x - 1)2 + 12x – 4= 0
Answer:
⅓, -1⃣ = x
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Find g(1) if g(x) = x2 +1.
A.2
B.3
C.4
لا
Answer:
A
Step-by-step explanation:
To evaluate g(1) substitute x = 1 into g(x), that is
g(1) = 1² + 1 = 1 + 1 = 2 → A
Solve for m.
4m2n=49
m=±7n√2n
m=±7n√2n
m=±7n√2
m=±7n√2
Answer:
[tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]
Step-by-step explanation:
We have the following expression: [tex]4m^{2}n = 49[/tex] and we need to solve it for 'm'. Above the steps:
[tex]4m^{2}n = 49[/tex] ⇒ [tex]m^{2} = \frac{49}{4n}[/tex]
Taking the square rooth of both sides:
[tex]m = \sqrt{\frac{49}{4n}}[/tex] ⇒ [tex]m = \frac{7}{2\sqrt{n}}[/tex]
⇒ [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]
Then, the result is: [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]
The bedroom is 17 feet long by 18 feet wide, and the ceiling is 9 feet high.
The inside of the bedroom door will be painted the same color as the walls. Two coats of paint will be applied to all of the painted surfaces.
The room has one window, measuring 3 feet, 9 inches by 4 feet, which will not be painted.
List the facts that you know. First, find the room dimensions in feet that make a good model for this situation. One strategy would be to sketch the room as follows. Please use this model to complete the following table below.
Answer: 615 ft²
Step-by-step explanation:
There are 4 walls - assume that the floor and ceiling are not being painted.
2 walls are 17 ft by 9 ft ⇒ 2(17)(9) = 306 ft²
The other 2 walls are 18 ft by 9 ft ⇒ 2(18)(9) = 324 ft²
1 window is 3.75 ft by 4 ft ⇒ 1(3.75)(4) = 15 ft²
2 walls + other 2 walls - 1 window ⇒ 306 + 324 - 15 = 615 ft²
Answer:
The total area that must be paintedis 615ft^2
Step-by-step explanation:
Here we need to calculate the total surface of the room that will be painted, this would be:
The 4 inner walls.
Minus the area of the window, that will not be painted.
I also assume that the floor and the ceiling will not be painted.
the dimensions of the room are:
17 feet long.
18 feet wide.
9 feet high.
So we will have:
two walls of 17 feet by 9 feet.
two walls of 18 feet by 9 feet.
Then the total surface of the walls is:
S = 2*(17ft*9ft) + 2*(18ft*9ft) = 630 ft^2
And the window is 3 feet 9 inches bt 4 feet.
first, we have that 1 feet = 12 inches.
then 9 inches is equivalent to:
9/12 feet = 0.75 feet.
So the area of the window is:
W = 3.75ft*4ft = 15ft^2
the difference is:
A = 630ft^2 - 15ft^2 = 615ft^2
You deposit $3000 in an account earning 8% interest compounded monthly. How much will you have in the account in 10 years?
Answer:
You will have approximately
4 , 049.58 in your account in 10 years
Step-by-step explanation:
To calculate the future value of $3000 deposited in an account with an 8% annual interest rate compounded monthly over 10 years, use the compound interest formula [tex]A = P(1 + r/n)^{(nt)}[/tex], resulting in approximately $6,658.93.
You want to find out how much money you will have in an account after 10 years when you deposit $3000 with an annual interest rate of 8% compounded monthly. To solve this, you can use the compound interest formula:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the time the money is invested or borrowed for, in years
Given the data:
P = $3000
r = 0.08 (since 8% = 0.08 when converted to a decimal)
n = 12 (monthly compounding)
t = 10 years
You can now calculate:
A = 3000(1 + 0.08/12)¹²⁰
Then:
A ≈ 3000(1 + 0.0066667)¹²⁰
A ≈ 3000(1.0066667)¹²⁰
A ≈ 3000(2.21964)
A ≈ $6,658.93
the graph of f(x)=|x| is transformed to g(x)=|x+1|-7 on which interval is the function decreasing
Answer:
(-infinity, -1)
Step-by-step explanation:
If you draw it, it should be easy to see. The vertex is (-1,-7).
There has been no reflection meaning the absolute function is open like the parent is.
So the absolute value function is decreasing on (-inf,-1)
And increasing on (-1,inf)
The interval in which the funciton g(x) = |x + 1| - 7 decreasing is (-∞,-1).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given function,
f(x) = |x|
The plot of this has been graphed below,
Now,g(x) |x + 1| - 7
Since x → x + 1 thus the function has shifted left -1 and 7 units down.
So, the interval at which it is decreasing is (-∞,-1).
Hence "The interval in which the funciton g(x) = |x + 1| - 7 decreasing is (-∞,-1)".
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how to graph 3 ordered pairs
Answer: I'm assuming you just need to graph each ordered pair without doing anything else to them. The first number in the ordered pair is called the x-intercept, the second number is the y-intercept. To graph an ordered pair you need to count the x-intercept number and go to that number on the x-axis (horizontal), do the same for the y-intercept on the y-axis (vertical) and make a point/dot. Repeat this for the other two ordered pairs.
Answer,
Determine the x-intercept and y-intercept and plot on the graph.
Explanation,
If you already have your three ordered pairs simply start off by determining the x and y intercepts. After you have done this you can plot the x intercept on the x-axis and the y intercept on the y-axis. Repeat for the other two as well.
Here is an example, (5,7)
Our x intercept is (5) and our y intercept is (7).
You should have a graph that looks somewhat like the first picture.
Then you will find where the (5) goes which is on the x-axis. (The x-axis is the horizontal line)
Then you will find where the (7) goes which is on the y-axis. (The y-axis is the vertical line.)
The second picture shows the plotted graph.
Type the correct answer in the box. Round your answer to the nearest hundredth. A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is .
the probability is 7/9
The probability that a student is a girl given that they scored an A on the test is 0.54.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We can use Bayes' theorem to find the probability that a randomly chosen girl scored an A on the test.
Let's define the following events:
A = student scored an A on the test
G = student is a girl
We want to find P(A|G), the probability that a randomly chosen girl scored an A on the test.
First, we can use the law of total probability to find the probability that a randomly chosen student scored an A:
P(A) = P(A|B) x P(B) + P(A|G) x P(G)
where B represents the event that a student is a boy.
From the problem statement, we know that 55% of the class are boys and 45% are girls, so:
P(B) = 0.55
P(G) = 0.45
We also know that 25% of the boys and 35% of the girls scored an A on the test, so:
P(A|B) = 0.25
P(A|G) = 0.35
Plugging in these values, we get:
P(A) = (0.25)(0.55) + (0.35)(0.45) = 0.29
Next, we can use Bayes' theorem to find P(A|G):
P(A|G) = P(G|A) x P(A) / P(G)
where P(G|A) is the probability that a student is a girl given that they scored an A on the test. This is what we want to find.
To find P(G|A), we can use the formula:
P(G|A) = P(A|G) x P(G) / P(A)
Plugging in the values we know, we get:
P(G|A) = (0.35)(0.45) / 0.29 = 0.54
Rounding to the nearest hundredth, we get:
P(A|G) ≈ 0.54.
Thus,
The probability that a student is a girl given that they scored an A on the test is 0.54.
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Please help
WILL MARK BRAINLYIST
Answer: (4,-5) is the answer
Look at the first image below for the known points...
Since this is a rectangle the missing point must align underneath the point (4, -3). This means that the missing point will need to have an x value of 4
The missing point must also align to the right to the point (-2, -5). This means that the missing point will need to have a y value of -5
This makes the missing point...
(4, -5)
Hope this helped!
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4x + 6y = -5
8x = 12y - 10
Solve the system
Answer:
x = -5/4, y = 0
Step-by-step explanation:
Solve the following system:
{4 x + 6 y = -5 | (equation 1)
{8 x = 12 y - 10 | (equation 2)
Express the system in standard form:
{4 x + 6 y = -5 | (equation 1)
{8 x - 12 y = -10 | (equation 2)
Swap equation 1 with equation 2:
{8 x - 12 y = -10 | (equation 1)
{4 x + 6 y = -5 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{8 x - 12 y = -10 | (equation 1)
{0 x+12 y = 0 | (equation 2)
Divide equation 1 by 2:
{4 x - 6 y = -5 | (equation 1)
{0 x+12 y = 0 | (equation 2)
Divide equation 2 by 12:
{4 x - 6 y = -5 | (equation 1)
{0 x+y = 0 | (equation 2)
Add 6 × (equation 2) to equation 1:
{4 x+0 y = -5 | (equation 1)
{0 x+y = 0 | (equation 2)
Divide equation 1 by 4:
{x+0 y = (-5)/4 | (equation 1)
{0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = -5/4, y = 0
The system of linear equations provided has an infinite number of solutions. This is concluded after subtracting the second equation from twice the first equation, resulting in 0 = 0, which implies the system's equations are equivalent.
Explanation:The system given is a system of linear equations. We can solve it using either substitution or elimination method. However, in this case, the elimination method seems easier as you can simply subtract the second equation from twice the first equation.
Multiply the first equation with 2, we get: 8x + 12y = -10. Subtract the second equation from the resulting equation, we have: 0x = 0, which signifies that the two equations are equivalent. Therefore, there are infinitely many solutions to this system, and any pair (x, y) that makes either of the equations true will also make the other equation true.Learn more about Systems of linear equations here:
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