Answer:
The probability is 0.0442
Step-by-step explanation:
If they all come from the same class, what it means is that we select 4 sophomores or , 4 juniors or 4 seniors
When we have or, it means we are to add each possible probability scenarios
The total number from which we want to select from is;
5 + 11 + 13 = 29
So the probability will be;
5C4/29C4 or 11C4/29C4 or 13C4/29C4
= 5C4/29C4 + 11C4/29C4 + 13C4/29C4
=0.0442
Use the graph below for this question: A 6 4 3 What is the average rate of change from x = -1 to x = -2? (1 point) 2 - 2 4 -1
Answer:
- 2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, - 1 ] , then
f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )
f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus
average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2
In square ABCD, diagonal DB is drawn. If the m
9514 1404 393
Answer:
x = 11
Step-by-step explanation:
The diagonal creates two isosceles right triangles, so ...
m∠CBD = 45°
3x +12 = 45
3x = 33 . . . . . . subtract 12
x = 11 . . . . . . . . divide by 3
Solve the system of linear equations by multiplying.
7x-2y=22
3x+9y=39
Answer: The answer (4,3) or x=4 and y=3
i am beyond confused
How do cells maintain homeostasis? Describe one way a cell will maintain stable internal conditions.
Answer:
One way that a cell maintains homeostasis is by controlling the movement of substances across the cell membrane. Cells are suspended in a fluid environment.
Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.
Answer: f(x) = -cos(x) + 4.584
Step-by-step explanation:
we know that f'(x) = sin(x)
if we integrate that, we get:
f(x) = -cos(x) + C
Where C is a constant of integration.
And we also want that:
f(2) = 5
with that relationship we can find the value of C.
f(2) = 5 = -cos(2) + C
(The calculation is done in radians)
5 = -(-0.416) + C
5 - 0.416 = C = 4.584
Then the function is:
f(x) = -cos(x) + 4.584
Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10
Answer:
M=10
N=5
Q=2
Step-by-step explanation:
if you look at the equation it says
M+M+M=30
Since there's 3 M's you can combine it and make it into 3M=30.
you could then divide 30 by 3 in order to get M by itself and you would get M=10.
Hope this helped :)
What is the value of V81
[tex] \sqrt{81} [/tex]
$5,000 is invested in two different accounts yielding 2% and 2.5% interest. The interest earned on the two accounts is $120. How much money was invested at 2% interest?
$1,000
$3,000
$4,000
$5,000
Answer:
1000
Step-by-step explanation:
can you simplify this?
[tex] \frac{a {}^{3} }{2} [/tex]
a 40ft flag pole has a rope tied from the top to the ground. the rope makes a 25 degree angle with the ground, how long is the rope
Answer:
The rope is 94.65 feet.
Step-by-step explanation:
find slope of the line passes through (7, 3)and (9, 6
Answer:
slope = 3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)
= (6-3)/(9-7)
= 3/2
Hope this helps! :3
plz mark as brainliest!
6. Triangle CDE with vertices C(-2,-2), D(1,-4), and E(-3,-4):
a) dilation with scale factor of 4 centered (-1.-3)
b) reflection in the line y = -x
The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)
How to work with transformation of objects?
We are given the vertices of Triangle CDE as;
C(-2,-2), D(1,-4), and E(-3,-4).
Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.
However, we are told that it is centered about the point (-1.-3).
Thus;
Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.
Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)
Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)
Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)
B) Reflection in the line y = -x gives;
C'(2, -2), D(-1, 4), and E(3, 4)
Read more about Objects Transformation at; https://brainly.com/question/3457976
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A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?
Answer:
The radius of the clock is 7.72 meters
Step-by-step explanation:
Here, we want to calculate the radius of a clock which has a circumference of 48.5 m
Mathematically;
Circumference C = 2 * pi * r
48.5 = 2 * 22/7 * r
7 * 48.5 = 44r
r = (7 * 48.5)/44
r = 7.72 meters
What is the y intercept of the line 2x + 3y = -15?
Answer:
y intercept: (0,-5)
Step-by-step explanation:
y = -2x+3 write in standard form
Answer:
y + 2x - 3 = 0
Step-by-step explanation:
You should learn the topic.
Answer:
2x+y-3=0
Step-by-step explanation:
The standard form is a representation of equations that start from the variable term towards the constant term, generally leaving the RHS empty.
Here,
[tex]y=-2x+3\\y+2x=3\\y+2x-3=0\\2x+y-3=0[/tex]
Find the discriminant and state the number and type of solutions.
-3.02 - 6x + 5 = 8
how many times does 67 117
What is the distance from QR?
Q
6n + 3
s
4n + 11
R
Answer:
The distance of QR is 54 units
Step-by-step explanation:
In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base
In ΔPQR
∵ PQ = PR
∴ Δ PQR is an isosceles triangle
∵ P is the vertex angle
∵ QR is the base
∵ PS ⊥ QR
→ By using the fact above
∴ PS bisects QR
∴ S is the midpoint of QR
→ That means S divided QR into 2 equal parts QS and SR
∵ QS = SR
∵ QS = 6n + 3
∵ SR = 4n + 11
→ Equate them to find n
∴ 6n + 3 = 4n + 11
→ Subtract 4 n from both sides
∵ 6n - 4n + 3 = 4n - 4n + 11
∴ 2n + 3 = 11
→ Subtract 3 from both sides
∵ 2n + 3 - 3 = 11 - 3
∴ 2n = 8
→ Divide both sides by 2
∴ n = 4
→ Find the length of QS by substitute x in its expression by 4
∵ QS = 6(4) + 3 = 24 + 3
∴ QS = 27
∵ QS = SR
∴ SR = 27
∵ QR = QS + SR
∴ QR = 27 + 27
∴ QR = 54 units
∴ The distance of QR is 54 units
Plz help i will mark branliest
Writing Equations From Two Points & Point-Slope Form
Answer:
problem #2:
y - 4 = 2 ( x + 1) , y - 1 = -1/3x ( x - 2)
problem #3:
slope: 2/3 point: -2, 4
slope: -3 point: -5, -1
Step-by-step explanation:
good luck!
In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.
Answer:
900
Step-by-step explanation:
434+285+176 is 895,895 to the nearest hundred is 900
i need help 5+(−4)+(−7)+2
can you guy help me for this questions
Answer:
-4
Step-by-step explanation:
first remove the parentheses
5-4-7+2
then calculate the sum or difference
-4
please help me :((((
Answer:
b i think
Step-by-step explanation:
Answer:
its G
Step-by-step explanation:
the y intercept (where the line crosses y line) is (0,2)
y = x2+x-30
what are the factors
Answer:
2 and x are the factors of 2
Step-by-step explanation:
PLEASE HELP!!!!!!!!
find the missing value
y=-4x-1
( ,11)?
Triangle CAT is an isosceles triangle with base angles C and T each represent by (3x + 11) degrees, while angle A is represented by (9x + 8) degrees. Find the measure of angle C.
Answer:
Angle C = 41°
Step-by-step explanation:
Given:
Angle C = (3x + 11) degree
Angle T = (3x + 11) degree
Angle A = (9x + 8) degree
Find:
Angle C
Computation:
Using angle sum property
(3x + 11) + (3x + 11) + (9x + 8) = 180
15x + 30 = 180
x = 10
So,
Angle C = (3x + 11) degree
Angle C = 3(10) + 11
Angle C = 41°
Devin has 48 gingerbread cookies and 60 candy canes that he will put in gift bags for his friends and family. What is the greatest number of gift bags he can make if each bag will have the same number of cookies and the same number of candy canes? Also, identify the number of cookies and candy canes each bag will have.
Answer:
12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,-6) and (-9,6)
Answer:
13
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]
8. The table shows the linear relationship between the balance of a student's savings
account and the number of weeks he has been saving.
Savings Account
Week
1 3
8 13
Balance
53
88
(dollars)
123
0
6
32
39
74
Based on the table, what was the rate of change of the balance of the student's
savings account in dollars and cents per week?
Answer:
7 dollars
Step-by-step explanation:
Emily's car broke down the weekend before she started a new job. She borrowed $880 from her parents, at an annual interest rate of 3%, to quickly pay for the car repairs. If Emily paid her parents a total of $893.20 in six months, how much simple interest did she pay?
Answer:
$13.2Step-by-step explanation:
Step one:
given data
principal=$880
rate= 3%
final amount = $893.2
time t= 6 months =0.5 years
Step two:
Required
Simple interest
SI=PRT/100
SI=880*3*0.5/100
SI=1320/100
SI=13.2
She paid Simple interest of $13.2