Solution :
[tex]$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$[/tex]
[tex]$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$[/tex]
= 0.0836
P(B)= P(coin [tex]$C_1$[/tex] chosen and 4 heads in 10 trails) + P(coin [tex]$C_2$[/tex] chosen and 4 heads in 10 trail) + P(coin [tex]$C_3$[/tex] chosen and 4 heads in 10 trail)
[tex]$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$[/tex]
[tex]$=0.0836+0.0684+0.0294$[/tex]
[tex]$=0.1813$[/tex]
P(A|B) = [tex]$\frac{P(A \cap B)}{P(B)}$[/tex]
[tex]$=\frac{0.0836}{0.1813}$[/tex]
[tex]$=0.4611$[/tex]
Which of the following measures could be used to make triangle?
2,9, 12
4,4,7
3,5,8
3,5,8. I think.
have a great day :)
The Chicago Bears
finished their 2020-21
regular season winning
8 of their 16 games.
What is the ratio of
their wins to losses?
Answer:
I believe the answer is 8 to 8 (8/8) or 1
Step-by-step explanation:
16-8=8
Wins= 8
Loses= 8
Ratio= 8/8
8/8= 1
The answer depends how the question asks for it, so its either 8 to 8, or 1
HELPP I WILL GIVE BRAINLEIST!! PLSSSSS PLSSSSSSS
Answer:
x = 3 && y = - 1
Step-by-step explanation:
Just solving the two equations
the first equation
y = 4/3 x +3
y - 4/3 x = 3 ..............................................(1)
the second equation
y = -2/3x -3
y + 2/3 x = -3 ..............................................(2)
by substracting 2 from 1
-4/3x - 2/3x = -6
divide by -1
4/3x +2/3x = 6
6/3x = 6
2x = 6
x= 3
then subsititute by value x in any of given eqautions
which fraction is 16/64 in lowest terms
PLEASE SHOW HOW U DID UR PROBLEM
Answer:
16/64 simplified to lowest terms is 1/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 16 and 64 is 16
Divide both the numerator and denominator by the GCD
16 ÷ 16
64 ÷ 16
Reduced fraction:
1/ 4
Answer:
1/4
Step-by-step explanation:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 16 and 64 is 16
Divide both the numerator and denominator by the GCD
16 ÷ 16
64 ÷ 16
Reduced fraction:
1 / 4
Therefore, 16/64 simplified to lowest terms is 1/4.
Which data set is the most spread from its mean?
14, 26, 24, 28
22, 16, 18, 36
22, 28, 20, 22
21, 19, 27, 25
Answer:
Tha mean is 23 which means there is no answer:)
14, 26, 24, 28: still 23
22, 16, 18, 36:STILL 23
22, 28, 20, 22: 23
21, 19, 27, 25: STILL 23
Answer:
the answer is B
Step-by-step explanation: each number on a c and d is 7-5 away from 23 but b has 36 which is 13 away from 23 and in all is the farthest plz mark brainlest
36-40. The probability that a fatal car accident is alcohol related is over 40%. The probability that a fatal accident happens at night is 5 times more than the probability that it happens during the day.
What should drivers do to stay safe on the road? Write a probability facts that is based in your real life events?
Please help!
6:2(1+2)=??
[tex]6 \div 2(1 + 2) = 9[/tex]
Explanation :[tex]6 \div 2(1 + 2)[/tex]
[tex] = 3(3)[/tex]
[tex] = 9[/tex]
do this and show work
Answer:
first: x=1.3024
second: x=12.29
third: x=22 degrees
Step-by-step explanation:
sin 19=x/4
0.3256=x/4
x=1.3024
sin 19=4/x
0.3256=4/x
x=4/0.3256
x=12.29
sin x=3/8
sinx=0.375
x=22 degrees
Does anybody know how to do this or at least part of it anything would really help!!
Answer:
So the given equation is h= -5t^2+40t
the first question asks when it will be 75 meters above the ground. So plug in 75 for h and find t
75= -5t^2+40t
start by dividing everything by 5
15= -x^2 + 8x
then you can add x squared to both sides and subtract 8x
x^2 - 8x + 15 =0
then you can plug it into the quadratic formula, which is a pain to type so I did it on paper.
x = 5 or 3
so it will be 75 meters above the ground at 3 seconds and 5 seconds
Rewriting the equation
ok so I accidentally already factored it when I divided everything by 5...
I believe the answer here is x^2 - 8x + 15 =0
The meaning of the x intercepts is when h=0 or the object is 0 meters above the ground (basically when it starts and when it ends)
the maximum height is greater than 75 because it gets to 75 meters 3 seconds after it is thrown, and continues going higher before it comes back to 75 two seconds later.
The object is airborne for 8 seconds because the second x intercept is at (8,0)
what's 6 to the power of 900?
Answer:
5400
Step-by-step explanation:
6x900 =5400 this is the correct answer
I don’t remember doing this so can someone please help me!!!
Answer:
Step-by-step explanation:
10. m-56
11. 4r+3
Convert the angle from radians to degrees.
Answer:
first go to a diffrent site
Step-by-step explanation:
Help me! Pleaseeeeeeeeeeeeee
Answer:
Step-by-step explanation:
Two triangles are cut from a rectangle to form a trapezoid. What is the ratio of the area of the trapezoid to the combined area of the triangles? A 18:54 C 54:18 B 18:72 D 72:18 12 in group of students is painting a background piece
The image showing the trapezoid is missing, so i have attached it.
Answer:
C 54:18
Step-by-step explanation:
Formula for area of trapezoid is;
A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6
A_trap = ½(12 + 6) × 6
A_trap = 54 in²
Combined area of triangle:
A_tria = 2 × ½ × 3 × 6 = 18 in²
Thus;
A_trap:A_tria = 54 in²:18 in² = 54:18
The image showing the trapezoid is missing, so i have attached it.
Answer:
C 54:18
Step-by-step explanation:
Formula for area of trapezoid is;
A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6
A_trap = ½(12 + 6) × 6
A_trap = 54 in²
Combined area of triangle:
A_tria = 2 × ½ × 3 × 6 = 18 in²
Thus;
A_trap:A_tria = 54 in²:18 in² = 54:18
**100 points**
Which of the following is being constructed in the image?
A. a line parallel to a given line through a point, not on the line
B. a line perpendicular to a given line through a point not on the line
C. a line segment that is congruent to a given segment
D. a perpendicular bisector of a line segment
Alright, sorry for possibly wasting the answer, but its either D or B. i think its D, because its a bisector of the line segment, but B reads that it IS perpendicular, but on points not the line. You can rule out which one of the two it is, i would suggest asking a teacher for help or waiting for a better and more reliable answer.
Sorry if this doesn't help, if it does could I have Brainliest? Bless you, have a nice day.
Answer:
D
Step-by-step explanation:
write an expression to express y in terms of x use your equation to complete the table
PLS HELPPPP QUICKLYYYY
Answer:
The answer is 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
x - 5 = y
6 - 5 = 1
Hope that helps!
ORDER OF OPERATIONS
14 + 28 ÷ 4 − 2*4=
(64 + 6) ÷ 5 − 3*2=
(27 − 7) ÷ 2*2 =
5*2 × (20 ÷ 5) =
Answer:
pmdas perenthisis multiply divide add subtract
Step-by-step explanation:
Answer: 1. 13
2. 8
3. 20
4. 40
Step-by-step explanation:
a salesperson earns a commission of $476 for selling $3400 in merchandise. what is the commission rate?
Answer:
Step-by-step explanation:
$476/($3400) = 0.14 = 14%
consider the line y=6/7x-7
find the equation of the line that is perpendicular to the line and passes through the points (6,3)
find the equation of the line that is parallelto the line and passes through the points (6,3)
Answer:
y = -7/6x + b
Step-by-step explanation:
Perpendicular lines require the reciprocal of the slope and opposite sign to the original slope. Then, you substitute the x and y coordinates into the equation to find the y-intercept. Done.
y = 6/7x -7 (6,3)
y = -7/6x + b
3 = -7/6(6) + b
3 = -7 + b
7 7
10 = b
y = -7/6x + b
Answer:
see below
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 6/7x. Its slope is (6/7). A line perpendicular to this one will have a slope of -7/6.
Plug this value (-7/6) into your standard point-slope equation of y = mx + b.
y = -7/6x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -7/6(6) + b
To find b, multiply the slope and the input of x (6)
3 = -42/6 + b
3 = -7 + b
Now, add 7 to both sides to isolate b.
10 = b
Plug this into your standard equation.
y = -7/6x + 10
This equation is perpendicular to your given equation (y = 6/7x -7) and contains point (6, 3)
If two lines are parallel to each other, they have the same slope.
The first line is y = 6/7x - 7. Its slope is (6/7). A line parallel to this one will also have a slope of 6/7.
Plug this value (6/7) into your standard point-slope equation of y = mx + b.
y = 6/7x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.
3 = 6/7(6) + b
To find b, multiply the slope and the input of x (6)
3 = 36/7 + b
Now, subtract 36/7 to both sides to isolate b. To make this easier to visualize, convert 3 to have a denominator of 7.
21/7 - 36/7 = b
-15/7 = b
Plug this into your standard equation.
y = 6/7x - 15/7
This equation is parallel to your given equation (y = 6/7x - 7) and contains point (6, 3)
Hope this helps!
k a i ran 3/5 of a kilometer yesterday and today he ran 6 times as far so how much did he run today
Answer:
Today, kai ran 1 3/5 kilometers.
Step-by-step explanation:
im sorry if this is incorrect.
this equality contains a viable 3(23+18)<6a
[tex]3(23+18) < 6a \\ 41 < 2a \\ a > 41/2\implies a > 20.5[/tex]
Hope this helps.
Answer: a >41/2
Step-by-step explanation: Step 1: Simplify both sides of the inequality.
123<6a
Step 2: Flip the equation.
6a>123
Step 3: Divide both sides by 6.
6a/6>123/6
a>41/2
IS THERE ANYONE THAT WILL HELP WITH THIS PROBLEM AND BRAINLLEST FOR CORRECT PEOPLE
Segment FG is shown. Point F is located at (−5,−4). Point G is located at (3,−4).
Answer the question below.
Answer:
the midpoint is at (-1,-4)
Answer:
-1, -4
Step-by-step explanation:
find the middle of the segment
Please help me one more time
Answer: 24
Yes (x-2) is a factor. There is a remainder.
Step-by-step explanation:
2³-8•2²+14•2-4
8-8•4+14•2-4
0•4+14•2-4
0+14•2-4
14•2-4
28-4
24
Hope this helps if so plz mark me brainly
Plz guys help me plz
Answer:
The answer is A!
Step-by-step explanation:
Its correct, I took the quiz :)
Use this model to calculate
3/8 times 2/6
A.16/18 B.13/24 C.6/48 D5/48
Answer:
Step-by-step explanation:
i do not see any model, but the answer is
3/8*2/6=6/48
The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 3/8 times 2/6
Now, We can simplify as;
⇒ 3/8 times 2/6
⇒ 3/8 × 2/6
⇒ 6/48
Thus, The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ3
Which of the following shows the equation after both sides have been distributed
-4(x - 2) = 5(3x – 8)
A. 4x-8=15x-40
B. 4x-6=15x-3
C. 4x+8=15x-40
D. 4x+8=15x+40
One fifth of the sum of 3 and a number
Answer:
1/5(x+3)
Step-by-step explanation:
That is, assuming the number=x
At a basketball game, a team made 54 successful shots. They were a combination of 1- & 2- point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot Equation 1: ______________________ Equation 2: ______________________ 1-point shots: _________ 2-point shots: _________
Answer:
Your answer is 31 for 1 shot points, and 45 for 2 shot points.
Step-by-step explanation:
Is parallelogram VWXY a rhombus?
Answer:
it is a a rhombus......... parallelogram is also called as a rhombus....
A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below. Find the expected frequency for the cell E2,2 to determine if there is enough evidence to conclude that the number of minutes spent online per day is related to gender. Round to the nearest tenth if necessary. Gender| 0-30| 30-60| 60-90| 90+ Male| 23|35|76|46 Female|31|42|46|16
Answer:
The expected frequency for the cell E2,2 is = 33
Step-by-step explanation:
The given data is
Gender | 0-30| 30-60| 60-90| 90+ Totals
Male | 23 | 35 | 76 | 46 180
Female | 31 | 42 | 46 | 16 135
Totals 54 77 122 62 315
The expected frequency for the cell E2,2 is :
Expected for the (30-60 box for females) = Total of (30-6)/ (total )* females
= ( 77/315)135= 33
Here p= 77/315 and n= 135
therefor X= pn = 33
χ²= (33-42)²/33= 2.455 ( for the single value of E2,2=33)
Expected for the (30-60 box for males) = Total of (30-6)/ (total )* males
= ( 77/315)180= 44
χ²= (44-42)²/44= 0.09
The critical region is χ² (0.05) 3 ≥ χ²= 11.34
Let the null and alternate hypothesis be
H0:the number of minutes spent online per day is not related to gender
against
Ha: the number of minutes spent online per day is related to gender
The single value of χ² for E2,2 = 2.45 is less than the critical value of 11.34.
