Answer:
Probability [Student wears contacts and has a car] = 0.1596
Step-by-step explanation:
Given:
Probability [Student in school wears contacts] = 0.38
Probability [Student in the same school has a car] = 0.42
Find:
Probability [Student wears contacts and has a car]
Computation:
P[A and B] = P(A) × P(B)
So,
Probability [Student wears contacts and has a car] = Probability [Student in school wears contacts] x Probability [Student in the same school has a car]
Probability [Student wears contacts and has a car] = 0.38 x 0.42
Probability [Student wears contacts and has a car] = 0.1596
The table and the graph below each show a different relationship between the same two variables, x and y: How much more would the value of y be on the graph than its value in the table when x = 12? (1 point) a 20 b 30 c 60 d 70
Answer:
c. 60
Step-by-step explanation:
in the table :
x = 12 , y = 12×25=300
on the graph :
x= 12 , y = 12×30=360
so, the difference is 360-300 = 60
In table
Rate of change
(125-100)/(5-4)25Whne x=12
y=12(25)=300In graph
Rate of change
(120-60)/230When x=12
y=12(30)=360
Difference
360-300=60At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in her department—11 males and 14 females. The employer wants to know how many ways there are to give vacation hours to 6 of the employees. How many possible groups of 6 employees can the employer choose?
Answer: There are 177100 possible groups.
Step-by-step explanation:
Given: Total employees = 25
Number of employees wants to choose = 6
The combination of n things taken r at a time is given by:-
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Put n = 25 and r= 6, we get
[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]
Hence, there are 177100 possible groups.
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased , the value of the savings bond was $156. Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.
Answer:
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156.
Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.
Step-by-step explanation:
If 5x + 2 = 17, then 12x =____?
36
Step-by-step explanation:
5x is 15
x is 3
12 times 3 is 36
Answer:
5x + 2 = 17
5x = 17 - 2
5x = 15
x = 3
Therfore, 12x = 12 (3) = 36
please please help me!!
Between 06 00 and 10 00,the same day, the volume of water in a reservoir decreased from 24 000 L to 18 000 L. What was the average rate of decrease in volume of water, giving your answer in L/h ?
Answer:
Step-by-step explanation:
Given,
Time taken (t) = 10 - 6 = 4hrs
Water decreased (V) = 24000l - 18000l = 6000l
Now,
average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h
what is the result of subtracting the second equation from the first?
2x+7y=-8 - 2x-5y=-1
Answer:
12y = -7
Step-by-step explanation:
Note: Angles not necessarily drawn to scale
Answer:
for finding x
x+133=180(being linear pair)
x=180-133
x=47 degree
Step-by-step explanation:
Answer:
47°
Step-by-step explanation:
→ Work out APD
133°
→ Find the sum of APC and DPB
360 - ( 133 + 133 ) = 94
→ Divide the answer by 2
94 ÷ 2 = 47°
please help me out with this equation!
i will mark you as brainliest
Answer:
A)-19,15,-9,-1,9
Step-by-step explanation:
that's the answer when I compute it
===================================================
Explanation:
If we plug in x = -2, then we get,
y = x^2 + 7x - 9
y = (-2)^2 + 7(-2) - 9
y = 4 - 14 - 9
y = -10 - 9
y = -19
So x = -2 leads to y = -19. The answer is between A and D.
---------
If you repeat those steps for x = -1, then you should get y = -15
Then x = 0 leads to y = -9
x = 1 leads to y = -1
Finally, x = 2 leads to y = 9
The outputs we get are: -19, -15, -9, -1, 9 which is choice A
Choice D is fairly close, but we won't have a second copy of -15, and we don't have an output of -19.
Heather's family has 2 adults and 3 kids. The tickets to the musical cost them $72.85.
Carl's family, on the other hand, paid $94.75 for 2 adults and 5 kids. How much higher
was the cost of an adult's ticket compared to a kid's ticket? Let the cost of an adult's
ticket be x and the cost of a kid's ticket be y.
Answer:
$9.05
Step-by-step explanation:
x = $adult
y = $kid
2x + 3y = 72.85 (Heather)
2x + 5y = 94.75 (Carl)
subtract the equations to get:
-2y = -21.90
y = 10.95
solve for 'x':
2x + 3(10.95) = 72.85
2x + 32.85 = 72.85
2x = 40
x = 20
Difference between 20 and 10.95 is $9.05
I need help. Please someone help. .......................................................................................................
Answer:
boi its 202 -1
Step-by-step explanation:
eiroiwzjsirgjzßπkgjπøˆß
HELP ME!! First to answer gets brainiest!!!
Answer:
11 1/5 minutes
Step-by-step explanation:
All you have to do is add up all the songs together.
3 1/2 = 3 30/60
2 57/60= 2 57/60
4 3/4 = 4 45/60
Add this all up
9 132/60
11 12/60
11 1/5
11 1/5 minutes
If this helps please mark as brainliest
Consider a triangle ABC like the one below. Suppose that =C109°, =a46, and =b36. (The figure is not drawn to scale.) Solve the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
take 109 degree as reference angle
using sin rule
sin 109=opposite/hypotenuse
0.94=c/36
c=0.94*36
c=33.84
c=33.8
hey! i’ll give brainliest please help
g(r)=25−3rg,
what does g(4) equal?
Answer:
g(4)= 25-12g
Step-by-step explanation:
g(r)= 25-3rg
g(4)= 25-3(4)g
g(4)= 25-12g
Answer:
13
Step-by-step explanation:
Khan
The ratio of the measurement of an angle to its complement is 1: 2. Find the measurement of the angle and it’s complement.
Answer:
1.x=90 degrees
2.smaller angles =30
3.larger angles =(30×2)=60
Step-by-step explanation:
Complement angle=90 degrees
90/3 (because need to separate into 3 parts) =30 degrees
1part =30 degrees
1:2
(1×30):(2×30)
30:60
use logarithm table to solve (0.7634)^4
Answer:
[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]
HELPPPPP PLEASEEEE HELPPPPP HELPPPP HELPPPPPPPPP
Answer:
x = 6
m∡ABC = 135°
Step-by-step explanation:
∡ABE ≅ ∡CBD therefore we can create the following equation:
3x + 27 = 45
3x = 18
x = 6
∡CBD and ∡ABC are supplementary so 180 - ∡CBD = m∡ABC
180 - 45 = m∡ABC
m∡ABC = 135°
What is the length of CD?
Round to one decimal place.
C
5.6
4
A
B
D
5.1
Answer:
CD = 4.4
Step-by-step explanation:
AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:
CD/CA = DB/AB
CD = ?
CA = 5.6
DB = 4
AB = 5.1
Therefore:
CD/5.6 = 4/5.1
Cross multiply
CD*5.1 = 4*5.6
CD*5.1 = 22.4
Divide both sides by 5.1
CD = 22.4/5.1
CD = 4.39215686
CD = 4.4 (1 decimal place)
Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17) .
f(x)=
Answer:
Step-by-step explanation:
Given,
Vertex (h, k ) = (1,0)
Now,
We know,
f(x) = a(x-h)²+k
Since, it passess through (2, −17)
Put x = 2 and y = - 17
or, -17 = a(2 - 1)² + 0
or, -17 = a
Now,
f(x) = a(x - h)² + k
= -17(x - 1)² + 0
= -17x² + 34x - 17
ALRIGHT 66% WE NEED AT LEAST AN 80, WHAT WONDERFUL PERSON IS GONNA HELP!?
Answer:
I got 45
Step-by-step explanation:
so I did the triangle first I did 5 times 6 divided by 2 and got 15 then I did 5 times 6 and got 30 then I added the 30 and 15 together.
Answer:
Formula of trapezoid:
B1(base 1) + B2(base 2) x Height(h) x 1/2
Area of Trapezoid:
10(base 1) + 6(base 2) = 16
16 x 5 = 80
80 x 1/2 = 40
The volume of a gas held at a constant temperature varies inversely with the pressure of the gas. If the volume of a gas is 5000 cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 500 millimeters of mercury?
Answer:
2,000 cubic centimeters
Step-by-step explanation:
if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable
the equation that represents inverse proportion :
[tex]v = \frac{b}{p}[/tex]
where b = constant of proportionality
5000 = b / 200
b = 5000 x 200 = 1,000,000
v = 1,000,000 / 500
v = 2000
12) What value of x makes : f(x) = 30
Answer:
f(5) = 30 so x=5
Step-by-step explanation:
We want to find the value of x which makes the y value of the function 30
Looking at the graph x=5 makes y=30
‼️ PLEASEEE HELPPP ‼️
Answer:
take out x+60 and = x+54 cross multiply for starters
B. The sum of 3 and a number is -2, what is the number?
how do i find the unit rate?
What is the value of the expression below?
Answer:
D. 2
Step-by-step explanation:
Multiply the exponents to simply equation
5/3 * 1/5 = 5/15 = 1/3
8^1/3 = 2
Cube root of 8 is 2
What is m<1?
A. 21°
B. 23°
C. 24°
Hi there!
[tex]\large\boxed{\text{B. }23^o}[/tex]
According to a circle theorem:
m∠1 = 1/2(a - b) where a and b are angles.
Thus:
m∠1 = 1/2(94 - 48)
Simplify:
m∠1 = 1/2(46) = 23°. The answer is B.
does anybody know how to solve this problem?
Answer:BC=68
DE=36
CE=34
Step-by-step explanation:
Since D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.
Please help me I don’t understand it and I really need help.
Answer:
b
Step-by-step explanation: