Answer:
The probability that both A and B occur is P = 0.01
Step-by-step explanation:
Both events A and B have a probability p of occurring.
Then both events A and B have a probability (1 - p) of NOT occurring.
The probability that neither A or B occurs is equal to the product of the individual probabilities, and this is equal to 0.81, then:
(1 - p)*(1 - p) = 0.81
1 - 2*p + p^2 = 0.81
p^2 - 2*p + 0.19 = 0
We can solve this if we use Bhaskara's equation, the two solutions are:
[tex]p = \frac{-(-2) +- \sqrt{(-2)^2 - 4*1*0.19} }{2*1} = \frac{2 + - 1.8}{2}[/tex]
Then the two solutions are:
p = (2 + 1.8)/2 = 3.8/2 = 1.9
A probability must be a number between zero and one, and this is larger than one, so this solution can be discarded.
the other solution is:
p = (2 - 1.8)/2 = 0.2/2 = 0.1
This means that the probability that event A occurs is p = 0.1
And the probability that event B occurs is p = 0.1
The probability that both events occur is equal to the product of the individual probabilities, which is:
P = 0.1*0.1 = 0.01
In a plane, if a line is _____ to one of two parallel lines, then it is perpendicular to the other.
skew
perpendicular
parallel
intersecting
The answer is perpendicular
What is 12/10 as a mixed number?
Answer:
1 1/5
what is 550 x 34 ?????
Answer:
18,700
Step-by-step explanation:
Answer:
18,700
Step-by-step explanation:
i hope this helps
Which expression is equivalent to 6/4
Just a generic answer would by 12/8 or any other multiple of the numbers. If that is a fraction than same goes as above.
How many sides does a regular polygon have if each interior angle has a measure of 108° ?
Answer:
Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5.
20 points i need help and explain because my teachers wants me to explain
112
You would use
A=a+b/2h=8+20/2·8=112
Please Help me
What is the answer
Answer:
here you go I hope this helps:)
Simplify: 100 ÷ 10 • 2 • 4 ÷ 2
Answer:
40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Multiply 2*4 which is 8 then divide 8 by 2 and get 4 and divide 100/10 and get 10.Then multiply 10 by 4 and get 40.
In an upcoming NFL draft, there are 8 quarterbacks to be chosen from. How many different ways can the top three be chosen?
Answer:
six
Step-by-step explanation:
A garden patio is covered with grey slabs and yellow slabs.
1/5
of the slabs are grey.
a) Write down the ratio of grey slabs to yellow slabs.
Give your answer in its simplest form.
There are 55 slabs in total.
b) Work out the number of yellow slabs.
yello
A) 1:4
B) 44
There are 11 grey slabs and 44 yellow slabs.
As a fraction in simplest terms, what would you multiply the first number by to get the second?
PLEASE HELP ME :(
I will give brainliest plus 40 points!
Answer:
28/x=34
28/34=x
x=0.825is the required answet
Answer:
x = 17/14
Step-by-step explanation:
28 * x = 34
x * 28 = 34
Let's divide by 28 on both sides:
x = 34/28
Let's simplify by dividing both 34 and 28:
x = 17/14
17 is a prime number, so we can't simplify any further.
x = 17/14
A cheetah ran 75 meters at a speed of 25 meters per second. How long was the cheetah running?
3 seconds
5 seconds
30 seconds
50 seconds
Answer:
3 seconds
Step-by-step explanation:
SO if it ran 75 meters at a speed of 25 meters per second then you have to divide how many meters it ran by how many meters it took per second to find out how long the cheetah was running
75÷25=3
3 IS THE ANSWER
The answer 3 seconds
Step-by-step explanation:
75 divide 25 is equal 3
So Cheetah ran 3 second by running.
7.5 - 3.2 + 4³ ÷ 2
I NEED HELP PLIS :(
Answer:
36.3
Step-by-step explanation:
Answer:
36.3
Step-by-step explanation:
Step 1: 7.5-3.2+2⁶÷2
Step 2: 7.5-3.2+2⁵
Step 3: 7.5-3.2+32
Step 4: 7.5-3.2+32
Kevin earns $14.00 for writing 5 story problems. How much would Kevin earn if he wrote 100 story problems?
Answer:
280
Step-by-step explanation:
5 story problems ->$14
100 story problems -> ?
100÷5=20
20x14=280
Answer:
$280
Step-by-step explanation:
$14.00 divided by 5 would be 2.8
So he would earn $2.8 per problem
Well 2.8 x 100 is $280
So the answer would be $280
Hope this helps
If the average speed of a car is 45 km/hr, how far can it travel in 40 hr?
Answer: 1,800 km/hr
Step-by-step explanation:
If you multiply 45 and 40, you get 1,800
If a circle has a diameter of 22
centimeters, what is the radius?
Step-by-step explanation:
In a circle
Diameter (d) = 22 cm
radius (r) = d / 2 = 22 /2 = 11 cm
Hope it will help :)
Caroline bought a new video game that was on sale for 40% off. If the game originally costs $60, how much did it cost after the discount?
all my dam points. I better get a good answer.
Answer:
20$
Step-by-step explanation:
40 percent of 60 is 20
Answer:
Step-by-step explanation:
It is 40% that does mean it is ( 60*40 ) / 100 = 24 from the total price . So it coasts 60-24=36 i hope it helps u
The Crimson Bot clicks 26 times in ____ sec, and its Unit Rate is 10.4 clicks per second. Find the number of sec.
Answer: The Crimson Bot clicks 26 times in _2.5_ sec,
To find the time, Invert the Unit rate to Seconds per Click, times the number of clicks.
Step-by-step explanation:
Find Seconds per click by dividing 1/10.4
That is ⁵/₅₂ or 0.09615384615 seconds per click
Multiply by 26 clicks. ⁵/₅₂ × 26 = 2.5
Or invert the unit rate and multiply by the given number of clicks:
1/10.4 × 26 =
There were 312 students in the school. If 24 of the
students were taking Math PACE 1056, how many students were taking Math PACE 1056?
Answer: 288
Step-by-step explanation: 312 - 24 = 288
7. Phozia has three pieces of rope with lengths of 160 cm, 192 cm and
240 cm respectively. She wishes to cut all three pieces of rope into
shorter pieces of equal length so that there is no left over rope.
(a) What is the largest possible length of each of the shorter pieces of
rope?
(b) How many shorter pieces of rope can she get altogether?
Answer:
a) 16 cm, b) 37 pieces
Step-by-step explanation:
Part a
Finding the largest divisor of 160, 192 and 240
160 divisors: 1, 2, 4, 5, 8, 10, 16, 32, 40, 80 and 160.
// You can alternatively find them by factor pairs, which are (1, 160), (2, 80), (4, 40), (5, 32), (8, 20) & (10, 16). This way is much more faster. Also, you can simply search them in metanumbers.com
192 divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96 and 192
240 divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240
The largest divider that they all have in common is 16.
So 16 cm is the largest possible length of each of the shorter pieces of
rope
Part b
Now we have to count how many 16 cm pieces of rope can we get from the large rope pieces, which lengths are 160 cm, 192 cm and 240 cm
160/16 + 192/16 + 240/16 = 10 + 12 + 15 = 37
The answer is 37 pieces
Varsha runs 3.2 km a day how far does varsha run in a 9 days
There can be more than 1 answer btw :)
Answer:
A and D
Step-by-step explanation:
Solve x2 – 3x - 108 = 0.
A. X = -9 and x = 12
B. x = 9 and x = 12
C. X = 9 and x=-12
D. X=-9 and x = -12
Answer:
-9 and 12
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST
What is the measure of ZABD?
B
67
39°
51
m
a. 180°
b. 230
c. 113°
d. 740
First one to answer get the Brainiest
help plz
Answer:
D. The ratio of the circumference to the diameter is the same for both sides
Step-by-step explanation:
dilation in a shape is either it becoming bigger or smaller, no matter what factor you dilate the shape by its ratio will still remain the same, such as when you simplify a fraction.
Algebra.
Can anyone help
Answer:
aa
Step-by-step explanation:
Answer:
(−x)(3x^2+1)
Step-by-step explanation:
idek know how to explain.
Mark translated trapezoid ABCD to trapezoid A'B'C'D'. Vertex B was at (4,3). If
B' is now at (-2, 2), what did he have to do to get there?
Answer:
jjjgfdiogmdkohmk
Step-by-step explanation:
Answer:
move 6 units left and 1 down
-6(x - 7)
Help Please
Answer:
-6x + 42
I distributed the -6
Geoff earns 10% commission on his total sales at work.
Part A: Suppose Geoff’s sales totaled $895 last week. How much did he earn in commission?
A.
$89.50
B.
$984.50
C.
$903.95
D.
$8.95
Activity 2 of 2
Part B: To pay for a concert ticket, Geoff needs to earn $135 in commission. What must Geoff’s sales total for the week?
A.
$13.50
B.
$1,350.00
C.
$135.00
D.
$13,500.00
Part A
Answer: 89.50 dollars
---------------------------
Work Shown:
10% = 10/100 = 0.10
10% of $895 = 0.10*895 = 89.50
=====================================================
Part B
Answer: $1350
---------------------------
Work Shown:
x = amount of sales for the week
10% of x = 0.10*x = 0.10x
0.10x = amount Geoff earns in commission
He needs $135, so 0.10x = 135
Divide both sides by 0.10 to isolate x
0.10x = 135
0.10x/0.10 = 135/0.10
x = 1350
He must have $1350 in sales for the week
-4p + 41 = 13 need help with this