a) 10 - 1/4x = 7
1/4x = 7 + 10
= 17
x = 17/ (1/4)
b) 3 (x + 8 ) = 21
x + 8 = 21/3
= 7
x = 7 - 8
= -1
Given that events A and B are independent with P(A)=0.3P(A)=0.3 and P(A\cap B)=0.27P(A∩B)=0.27, determine the value of P(B)P(B), rounding to the nearest thousandth, if necessary.
Answer:
0.9
Step-by-step explanation:
Since A and B are independent hence;
P(A∩B) = P(A)P(B)
Given the following
P(A∩B) = 0.27
P(A) = 0.3
Required
P(B)
Substitute into the formula;
P(B) = P(A∩B)/P(A)
P(B) = 0.27/0.3
P(B) = 0.9
Hence the value of P(B) is 0.9
The value of P(B) is 0.9
What is probability?Probabilities are used to determine the chances of events
The given parameters are:
P(A) = 0.3
P(A ∩ B) =0.27
To find the value of P(B), we make use of the following formula
P(A ∩ B) = P(A) * P(B)
So, we have:
0.27 = 0.3 * P(B)
Divide both sides by 0.3
P(B) = 0.9
Hence, the value of P(B) is 0.9
Read more about probability at:
https://brainly.com/question/25870256
Each bag of trail mix weighs 3/8 pound. The combined weight of a set of bags is 3 3/4 pounds How many bags are there?
Answer:
10
Step-by-step explanation:
3/ 8 is 0.375 while 15/4 is 3.75
so I divide 3.75 by 0.375 which is now 10 the answer is 10 bags
Answer:
22
Step-by-step explanation:
(33/4)÷(3/8)
=8.25/.375
=22
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
12
Step-by-step explanation:
−18+6−(−24)
=−12−(−24)
=12
Answer:
-18+6-(-24)
-18+6+24=
-18+30=
12 is the answer
hope this helps
have a good day :)
Step-by-step explanation:
how long must the sides of an equilateral triangle be in order for the perimeter to be greater than 45m?
Answer:
Greater than 15.
Step-by-step explanation:
Answer:
Step-by-step explanation:
P = 3a
3a > 45
a > 15
Your friend surveyed 100 people who took either vitamin C, zinc, or
Echinacea supplements to prevent getting a cold. The participants
were asked if they had a cold or no cold in the last 30 days.
no cold
cold
total
vitamin C
41
zinc
12
5
17
echinacea
21
total
26
100
What ratio of people in the survey took Echinacea?
Answer:
27 : 100
Step-by-step explanation:
Given :
__________ no cold ____ cold _____ total
Vitamin C ___ 41 ________ 15 ______ 56
Zinc _______ 12 _________5 ______ 17
Echinacea __ 21 _________ 6 ______ 27
Total ______ 74 _________ 26 ____ 100
The ratio of people who took Echinacea :
Number of people who took Echinacea : total number of people in the survey
From the TOTAL column:
Number of people who took Echinacea = 27
Total Number of people in survey = 100
Hence, ratio equals :
27 : 100
If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the speckled region? round answer to the nearest whole percentage.
A. 6%
B. 11%
C. 16%
D. 21%
Answer:
b
Step-by-step explanation:
mark me brainiest
Answer:
b
Step-by-step explanation:
mark him brainiest
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
A. 356
Step-by-step explanation:
Answer:
Step-by-step explanation:
how r u in highschool and not know this-
anyways... its 356
Mark is a teaher and makes 46,838 a year how much is his monthly gross pay?
Answer:
$3903.17
Step-by-step explanation:
12 months in a year.
46,838 / 12 = $3903.17
Answer:
3,903.20
Step-by-step explanation:
Divide by 12 because there is 12 moths in a year
3,903.16667
What is the value of the expression below when z = 2?
5z^2+3z+7
Answer: 33
5(2)² + 3(2) + 7
20 + 6 + 7
33
Hope this helps!
If P (A) = 0.24, P(B) = 0.41, and P(A and B) = 0.18, what is P (A or B)?
A. 0.17
B. 0.47
C. 0.59
D. 0.65
The value of P(A or B) is 0.47. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that, P (A) = 0.24, P(B) = 0.41, and P(A and B) = 0.18.
The formula to find P(A or B) is
P(A or B)=P(A)+P(B)-P(A and B)
P(A or B)=0.24+0.41-0.18
= 0.47
The value of P(A or B) is 0.47. Therefore, option B is the correct answer.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
What number is opposite of 56
Answer:
- 56
Step-by-step explanation:
The opposite of a number is its negative value
Then the opposite of 56 is - 56
ASAP
-WILL MARK BRIANIST
Answer:
$47.06
Step-by-step explanation:
$12.64*3=$37.92 $37.92+$12.64=$50.56 $50.56-$3.50=$47.06
PLEASE HELP DUDE. I JUST NEED THE ANSWER .A scuba diver is 356 feet below the surface of the water. The angle of depression the diver makes with her boat is 39degrees
To the nearest foot, how far is the diver from the boat?
A
566 ft
B
176 ft
C
161 ft
The diver is approximately 276.5 feet away from the boat to the nearest foot.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We can use the tangent function to solve this problem.
Let x be the distance from the boat to the point directly below the scuba diver on the water's surface.
Then we have:
tan(39°) = x/356
Multiplying both sides by 356, we get:
x = 356 tan(39°)
x = 276.5
Therefore,
The diver is approximately 276.5 feet away from the boat to the nearest foot.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
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NO LINKS URGENT Below is the graph of y = f(x) Graph y=-f(x)
Answer:
Answer is the graph below
Step-by-step explanation:
It is the green line by the way.
If this helps, please mark this as brainliest.
How much metal was used to make
this can of soup?
3 cm
5 cm
What is the quotient of 1,078 and 14
Answer:
77 is the quotient of 1,078 and 14.
Step-by-step explanation:
quotient is the answer to a division problem.
numerator/denominator = quotient
1,078/14 = quotient
1,078/14 = 77
Have a nice day!
The numbers 1-11 are placed in a bag. What is the probability of drawing a even number? PLEASE HELP ASAP
Answer:
5/11
Step-by-step explanation:
Between numbers 1 - 11, the evens are 2, 4, 6, 8, and 10. Therefore, there are 5 evens.
Out of the eleven choices in the bag, there are 5 possible choices to be picked out of the 11 total choices.
Therefore, the probability of drawing an even number over the number of choices is 5/11.
HELP AS SOON AS POSSIBLE NEEDS ANSWERS ASAP
Answer:
C. The mean will increase and ty e median will remain the same.
Question 1 of 10
Solve the proportion below.
-X/45=7/9
x=
O A. 5
B. 39
C. 35
O D. 43
What two number add up to 6 multiply by 8
the answer is four and two
Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]x = \sqrt{3} \: meters[/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
The question could be solve using 2 methods:
1) Looking at the angle 30°
2) Looking at the angle 60°
Please help I will give brainliest to whoever gets the answer correct first
Answer:
Multiple Choice: 2 Points Each
Short Response: 4 Points Each
Step-by-step explanation:
This is a system of equations problem.
The way I solved it was by, first, organizing two equations.
m(23)+s(10)=86 and m(28)+s(5)=76
m = multiple-choice question points
s = short response question points
The first equation is your scores. m(23)+s(10)=86
You had 23 multiple choice questions and 10 short response questions. Your score on the test was 86.
The second equation is your friend's score. m(28)+s(5)=76
They had 28 multiple choice questions and 5 short response questions. They scored a 76 on the test.
Solve m(23)+s(10)=86;m(28)+s(5)=76
23m+10s=86 for m
Add -10s to both sides.
23m+10s+−10s=86+−10s
23m=−10s+86
Divide both sides by 23.
[tex]\frac{23m}{23}=\frac{-10s+86}{23}[/tex]
m=[tex]\frac{-10}{23} s+\frac{86}{23}[/tex]
Substitute [tex]\frac{-10}{23} s+\frac{86}{23}[/tex] for m in 28m+5s=76.
28m+5s=76
28( [tex]\frac{-10}{23} s+\frac{86}{23}[/tex])+5s=76
Simplify both sides of the equation.
[tex]\frac{-165}{23} s+\frac{2408}{23} =76[/tex]
Add [tex]\frac{-2408}{23}[/tex] to both sides.
[tex]\frac{-165}{23} s+\frac{2408}{23} +\frac{-2408}{23} =76+\frac{-2408}{23}[/tex]
[tex]\frac{165}{23} s=\frac{-660}{23}[/tex]
[tex]\frac{\frac{-165}{23}s}{\frac{-165}{23}}=\frac{\frac{-660}{23}}{\frac{-165}{23}}[/tex]
s=4
Substitute 4 for s in m=[tex]\frac{-10}{23}s+\frac{86}{23}[/tex]
m=[tex]\frac{-10}{23}s+\frac{86}{23}[/tex]
m=[tex]\frac{-10}{23}(4)+\frac{86}{23}[/tex]
Simplify both sides of the equation.
m=2
Answer:
m=2 and s=4
This is a lot of work. Can I please actually get brainliest?
Please help with 17 and 18
Will mark brainliest ***
FIND THE VOLUME OF THE SPHERE. Use 3.14 for pi. ROUND TO THE NEAREST
WHOLE NUMBER
Answer:
28716
Step-by-step explanation:
plz mark branliest
the area of a rectangle is x^2 - 13x + 30 find the dimensions and area of the rectangle of the perimeter is 30
Answer:
The area and perimeter of a rectangle work with steps shows the complete step-by-step calculation for finding the perimeter, area and diagonal length of the rectangle with the length of 5 in 5 i n and the width of 10 in 10 i n using the perimeter, area and diagonal length formulas.
Step-by-step explanation:
A random sample of the residents of two cities were asked whether they are right-handed or left-handed. The table summarizes the responses.
pls
Answer:
C
Step-by-step explanation:
Which statements are true?
Select each correct answer.
Only some triangles are plane figures.
All triangles are closed figures.
All triangles are polygons.
All triangles have 3 right angles.
All triangles have 3 straight sides.
Multi answer BTW
Answer:
All Triangles are closed figure polygons that have three straight sides
Step-by-step explanation:
All 2D shapes are plane figures so this one is false. Three right angles are greater than 180 so this is fake. Polygon and closed figures are shapes with three or more closed sides. And triangles have straight sides.
Suppose chocolate costs $17.60 per kilogram. Karega buys 25 grams of chocolate and Samadhi buys 100 grams of chocolate.
How much more did Samadhi pay for her chocolate?
0.44
1.32
2.20
2.64
Answer:
The answer is $1.32 :)
Step-by-step explanation:
Answer:
1.32
Step-by-step explanation:
i tested at risk its correct have nice day :>
Kayla and Mario are playing with a football at the park on a windy day. Mark throws the football straight up in the air, and a gust of wind blows it 10 feet west and 4 feet south from Mark. If [x y] represents the original location of the football, write a matrix that represents the location of the translated ball.
Answer:
|x-10 y-4|
Step-by-step explanation:
Let the initial position where the football is thrown up the air be x and y.
After the ball is thrown up the air it moves 10 feet west 4 feet south because of the gust of wind.
Therefore the change in x is by 10 feet west and is at the point x - 10 and the change in y is by 4 feet south and is at the point y - 4.
Thus the matrix representing the position of the football is |x-10 y-4|.
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
C R E D I T: mohit890
[tex]\sqrt{80p^3}[/tex]
Answer:
320√5 it simpleflied
Step-by-step explanation: