Answer:
~62%
Step-by-step explanation:
Let n(A) be the number of students signed up for Algebra II.
Given that n(A) = 298
Let n(B) be the number of students signed up for Chemistry.
Given that n(B) = 328
n(A [tex]\cup[/tex] B) will be the number of students who have signed up for either one or both of two subjects.
n(A [tex]\cup[/tex] B) = 386
Formula for n(A [tex]\cup[/tex] B):
n(A [tex]\cup[/tex] B) = n(A) + n(B) - n(A [tex]\cap[/tex] B)
Where n(A [tex]\cap[/tex] B) is the number of students signed up for both the courses.
Putting the values in the formula above:
386 = 298 + 328 - n(A [tex]\cap[/tex] B)
n(A [tex]\cap[/tex] B) = 240
Formula for Probability of an event E:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(A \cap B) = \dfrac{n(A \cup B) }{n(A \cap B)}[/tex]
[tex]\Rightarrow P(A \cap B) = \dfrac{240 }{386}\\\Rightarrow P(A \cap B) = 62.17\%[/tex]
Hence, the required probability is ~62%
The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.
Calculation of the probability:
Since total of 386 students are taking either one or both of the two courses. If 298 students signed up for Algebra II and 328 have signed up for Chemistry
So here the no of students that signed up for both subjects should be
= 298 + 328 - 386
= 240
Now the probability is
[tex]= 240\div 386[/tex]
= 62%
Hence, The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.
Learn more about probability here: https://brainly.com/question/16923992
Below is the graph of y=bx. Find b. On a coordinate plane, an exponential function approaches the x-axis in quadrant 1 and increases exponentially in quadrant 2. b =
Answer:
b=0.5
and the other part is:
B.) The graph shows exponential decay
D.) The graph shows y=2^x reflected over the y-axis
Step-by-step explanation:
i just did this problem on edge 2020
Answer: 0.5, B&D
Step-by-step explanation:
Traduce el enunciado a expresión algebraica La suma de dos números pares consecutivos
Answer:
The answer is "Expression: x+(x+2)".
Step-by-step explanation:
Given:
The sum of two consecutive even numbers
Proving:
Let,
The First number is = x
The second consecutive number is = x+2
Calculating value by adding value:
Expression:
[tex]\Rightarrow x+(x+2)\\\\[/tex]
when x= 1, 2, 3 .... it gives:
[tex]\Rightarrow 1+(1+2)= 1+3=4\\\\\Rightarrow 2+(2+2)= 2+4=6\\\\\Rightarrow 3+(3+2)= 3+5=8\\[/tex]
That's why the sum of consecutive numbers is even.
A line passed through the origin and has a slope of 1/2.
Answer:
D. (2, 1)
Step-by-step explanation:
slope = 1/2
y-intercept = 0
Equation: y = 1/2 x
Choice A:
x = 0
y = (1/2)(0) = 0
Choice A does not work.
Choice B:
x = 1/2
y = (1/2)(1/2) = 1/4
Choice B does not work.
Choice C:
x = 1
y = (1/2)(1) = 1/2
Choice C does not work.
Choice D:
x = 2
y = (1/2)(1) = 1
Choice D works.
Answer: D. (2, 1)
To divide 1.89 ÷ 0.9, we need to change it. Choose the correct problem below to show what the “new” look would be.
A. 189 ÷ 9
B. 18.9 ÷ 0.9
C. 1.89 ÷ 9
D. 18.9 ÷ 9
Answer:
D. 18.9 ÷ 9
Step-by-step explanation:
we need to divide
1.89 ÷ 0.9 but write it in different form
so ,we need to eliminate decimal from 0.9
as 0.9*10 = 9
thus,we multiply both 1.89 and 0.9 with 10, then we will have
(1.89*10) ÷ (0.9*10)
=> 18.9 ÷ 9
Thus, based on above calculation new look would be D. 18.9 ÷ 9
4. In the hockey season, Chris had 150 shots on goal. She scored on 22% of her
shots. How many goals did she score?
Answer:
She scored on 33 of them
Step-by-step explanation:
You take 150 and multiply it by .22. which is 22%
Y
U(7,6)
T(3,4)
X
0
(k, k+8)
The figure shows a straight line passing through the points T(3, 4) and U(7,6).
(a) Find the gradient of TU.
(b) Find the equation of the line TU.
(c) A point (k, k+ 8) lies on the line TU produced. Find the value of k.
Answer:
a) 1/2
b) y = 0.5x + 2,5
c) k = -3
Step-by-step explanation:
Given are points T(3, 4) and U(7,6).
To find the gradient of TU, you look at the incline in value in the y-direction, divided by the incline in value in the x-diretion.
(Uy- Ty) / (Ux- Tx)
substitute the values given and you get:
(6-4) / (7-3)
2 / 4
This gives you the answer on question a) The gradient of TU = 1/2
Any line is of the form y = ax + b with a = the gradient found in answer a) an b is the the value on the y-coordinate on the y axis, where the line TU intersects with the y-axis.
The whole next part is my attempt to explain to you something about getting the answer for b. Sorry if it is so long, but please take the time to read the explanation, and I hope it will help you to understand what is going on.
The gradient of TU = 1/2 which means that if you start on any point on the line, and then you go 2 units to the right and 1 up you will end upon another point on the line. That is because the quotient is the same. 2/4 = 1/2 = 0,5/1
The last quotient, 0,5/1 , also has the resulting value of 0,5.
This means that if you start on any point on the line, and then you go 1 unit to the right and 0.5 up, you will be on another point on the line.
ATTENTION : This means also, that if you start on any point on the line TU, and then you go 1 unit to the LEFT and 0.5 DOWN, you will be on another point on the line TU. If you understand this, than you have learned something important!
We need to know where the line TU intersects with the y-axis, and now we can use this to find that value?
Since point T(3,4) lies 3 units to the right of the y-axis, we need to go 3 units to the LEFT. But remember the incline of 0.5/1 ... For every unit you go to the left you need to go 0,5 unit DOWN to remain on the line.
If you go 3vunits to the left, how many units do you need to go down?
3 * 0.5 units which is 1.5.
Point T has an y coordinate of 4 so ... what will the y coordinate be if you go 3 units to the left?
4 - (1.5) = 2.5
So now finally we can write down the answer to question b).
y = 0.5x + 2,5
c) (k, k+ 8) lies on the line TU. So substitute that in y = 0.5x + 2,5
inplace of x you write kinplace of y you write k+8y = 0.5 * ( x ) + 2,5
k+8 = 0.5 * ( k + 8 ) + 2,5
k+8 = 0.5*k + 4 + 2,5
Bring all k values to the left of the equality sign, and all number values to the right.
k - 0.5*k = 4 + 2,5 - 8
0.5*k = 6,5 - 8
0.5*k = -1,5
multiply left and right of the = sign by 2 and you get your answer on question c).
k = -3
A sector with a radius of 15cm has a central angle measure of 8pi/5 (in radians)
Answer:
565.49 cm2
Step-by-step explanation:
The area of a circle is given by:
Area = pi * r^2
And the whole area represents a central angle of 2pi.
Then, to find the area of this sector, we just need to use a rule of three:
area of pi * r^2 -> central angle of 2pi
area of x -> central angle of 8pi/5
x * 2pi = pi * r^2 * 8pi/5
2x = r^2 * 8pi/5
x = r^2 * 4pi/5 = 15^2 * 4pi/5 = 565.49 cm2
Answer:180pi cm^2
Step-by-step explanation:
Cuz I got it right
Please help I don’t get it!!!
( I will mark brainliest!)
Answer:
15/4 OR 3 whole number 3/4
Step-by-step explanation:
Katherine earned 84, 92, 84, 75, and 70 on her first 5 tests.
What is the minimum grade Katherine needs to earn on the next test to have a mean of 84?
Answer:
D
Step-by-step explanation:
Okay, so the best way to find is too plug in the answer choices.
to find the mean you: add all the numbers up and then, you divide it by however many numbers there are.
minimum meaning exactly 84 no greater!
Start with letter choice A
84+92+84+75+70+81=486
486/6=81 which is below minimum
Next is letter choice B
84+92+84+75+70+84=489
84/6=81.5 which is below minimum
Next is letter choice C
84+92+84+75+70+95=500
500/6=83.3 which is below minimum
Next is letter choice D
84+92+84+75+70+99=504
504/6=84 which is the correct answer
pls mark me brainliest
Graph the points ( 0, 2 ), ( 6, 2 ), ( 7, 4 ), ( 1, 4 ) and connect the points in order to create a parallelogram. What is the perimeter of the parallelogram? Is the perimeter a rational or irrational number? How do you know?)
Answer: 16, rational
Step-by-step explanation: because its a real number
Find the inverse of the function Y=(X -4) cubed
Step-by-step explanation:
replace x with y and y with x
what is the volume of this container
Answer:
1468 in³
Step-by-step explanation:
First get get the total volume of the rectangular prism:
length l = 10 in
width w = 15 in
height h = 10 in
diagonal d = 20.6155281 in
total surface area Stot = 800 in²
lateral surface area Slat = 500 in²
top surface area Stop = 150 in²
bottom surface area Sbot = 150 in²
volume V = 1500 in
Now get get the volume from the missing rectangular prism:
ength l = 4 in
width w = 4 in
height h = 2 in
diagonal d = 6 in
total surface area Stot = 64 in²
lateral surface area Slat = 32 in²
top surface area Stop = 16 in²
bottom surface area Sbot = 16 in³
volume V = 32 in³
So 1500in³- 32 in³ =1468 in³
Answer:
1468
Step-by-step explanation:
10*10*15 = 1500
1500 - (4*4*2) = 1468
1500-32=1468
Therefore the answer is 1468
Which line is a slop that is positive
Answer: A
Step-by-step explanation:
Answer:
the correct answer i believe is A. :)
How many solutions does the system have
Answer:
Step-by-step explanation:
28x-12y=16 and -6x-12y=3
or
14x-6y=4 and -14-28y=1
or
-28x-12y=16 and 28x-56y=14
How do you calculate the interquartile range of a dot plot or data set?
Answer:
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Step-by-step explanation:
hope this helps
correct me if this is wrong
3. A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for the year is $170, then how much is invested in each account?
Answer:
threee
Step-by-step explanation:
An article is purchased for Rs.5000 andsold for Rs.4500.Find loss percent
Answer:
10% loss
Step-by-step explanation:
the difference = Rs. 5000 -Rs. 4500 = Rs. 500
Rs. 500/Rs. 5000*100%= 10%
Since it was reduction in price, it is 10% loss
HELP ME PLEASE!!! URGENT!!
Answer:
False
Step-by-step explanation:
See how the bottom of the line F(x) just drops off? That means there isn't an even decline, meaning even the inverse would have an uneven slope.
This line cannot be a function, no matter which way you turn it.
Answer:
false
Step-by-step explanation:
f is on the Opisite side.
find 8x^3 -22x^2 -4
divided by 4x-3
a is the point with coordinates (4,6)
b is the point with coordinates (d,21)
the graident of line AB is 3
what is the value of d
Answer:
d = 9
Step-by-step explanation:
Calculate the slope of ab then equate to 3.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)
m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )
3(d - 4) = 15 ( divide both sides by 3 )
d - 4 = 5 ( add 4 to both sides )
d = 9
Which Earth feature was created in a similar way to how much of the solar system was formed? A. Meteor Crater B. the Grand Canyon C. the Petrified National Forest D. Half Dome in Yosemite National Park
Answer: i think its b.
Step-by-step explanation:
What is the ratio of the volume of Cylinder A to the volume of Cylinder B? If cylinder A has a radius of 3 and a height of 4 and cylinder B has a radius of 4 and a height of 3
Answer:
3:4
Step-by-step explanation:
Volume of cylinder A = V= π[tex]r^{2}[/tex]h = r,3 h,4 = [tex]\pi[/tex]36
Volume of cylinder B = V= π[tex]r^{2}[/tex]h = r,4 h,3 = [tex]\pi[/tex]48
Ratio of the volume = [tex]\frac{36}{48}[/tex]
= [tex]\frac{18}{24}[/tex]
= [tex]\frac{9}{12}[/tex]
= [tex]\frac{3}{4}[/tex]
= 3:4
Hope it helps!
Mark as brainliest!
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
Quadratic formula: x =
- Vb2 - 4 ac
2a
Answer: ([tex]\frac{-5 +\sqrt{5} }{2}[/tex], 0), ([tex]\frac{-5 -\sqrt{5} }{2}[/tex], 0)
Step-by-step explanation: Let me know if you need an explanation.
How do you solve for all values of x by factoring
Answer:
Just follow the guideline given below.
Step-by-step explanation:
To solve values of x by factoring, you need to follow these steps:
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve it.
4. List each solution from 3 as a solution to the original equation.
You usually end up with an answer like x =.. or x = ... and so on.
The total cost for my brother's bowling party was \$140 sign, 140. It cost \$50$ sign, 50 to reserve a bowling lane plus the cost of renting shoes for the 9 c people attending.
Answer:
$10
Step-by-step explanation:
see attachment for the complete question.
140 - 50=90
90 divided by 9 is 10
Therefore,the cost of shoes per person is $10.
Plsss he helppp fasttttt
Answer:
c d
Step-by-step explanation:
no explanation
take out a minus from first two fractions
5y + 3 > −7y + 13 Multi-step linear inequalities
Answer:
y > [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given
5y + 3 > - 7y + 13 ( add 7y to both sides )
12y + 3 > 13 ( subtract 3 from both sides )
12y > 10 ( divide both sides by 12 )
y > [tex]\frac{10}{12}[/tex] , that is
y > [tex]\frac{5}{6}[/tex]
107.843137255 to 1 decimal point
Answer:
107.8
Step-by-step explanation:
1 decimal point is the tenths place, thus we have 107.8
84 ounces is how many pounds?
Answer:
5.25 pounds
Step-by-step explanation:
We know that 16 ounces = 1 pound
Divide 84 ounces by 1 pound
84/16 = 5.25 pounds
Answer:
[tex]5.25 \: \: pounds[/tex]
Step-by-step explanation:
[tex]1 \: \: pounds = 16 \: ounces \\ [/tex]
so,
[tex]84 \: \: ounce = 5.25 \: \: pounds[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
can someone help and where do I put the,
Answer:
[tex]4000[/tex]
Step-by-step explanation:
[tex]8949-5324[/tex]
[tex]=3625[/tex]
