Answer:
A) Not mutually exclusive
Step-by-step explanation:
Given
[tex]P(A) = \frac{1}{4}[/tex]
[tex]P(B) = \frac{3}{5}[/tex]
[tex]P(A\ or\ B) = \frac{7}{10}[/tex]
Required
Determine if they are mutually exclusive or not
Mutually exclusive are defined by:
[tex]P(A\ or\ B) = P(A) + P(B)[/tex]
So, we have:
[tex]P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}[/tex]
Take LCM
[tex]P(A\ or\ B) = \frac{5+12}{20}[/tex]
[tex]P(A\ or\ B) = \frac{17}{20}[/tex]
By comparing:
[tex]P(A\ or\ B) = \frac{17}{20}[/tex] ---- Calculated
[tex]P(A\ or\ B) = \frac{7}{10}[/tex] ---- Given
We can conclude that A and B are not mutually exclusive because:
[tex]\frac{17}{20} \ne \frac{7}{10}[/tex]
Please help me with this
Answer:
Below, and I hope that this helps you.
Step-by-step explanation:
So you see that it says Find the probability that the sum on the two dice is 4 given that the sum is even. So that means that it would be 2 dices that have rolled a 4 and the equation would be 2×4= 8, So that means that you want to write the answer which is 8 in a fraction, and 8 in a fraction is 8/1
Is the relationship linear, exponential, or neither?
If mL DOC = 44º and mL COB = 80°,
find the measure of the indicated arc
in circle o.
D
с
O
E
B
mDB = [?]°
Answer:
124°
Step-by-step explanation:
measure of arc DC = 44 because the measure of central angle equals the measure of its arc.
measure of arc CB = 80 because the measure of central angle equals the measure of its arc.
measure of arc DC = measure of arc DC + measure of arc CB
= 44 + 80 = 124°
1. Select all the expressions that are equivalent to 4 - x
4 + x
-4 + x
-x + 4
x - 4
4 + -x
Answer:
I think this is the answer
4+–x
–x+4
Shakira went bowling with her friends. She paid $3 to rent
shoes and then $4.75 for each game of bowling, if she spent a
total of $23, then how many games did Shakira bowl?
Wri
Did you solve using an equation or an inequality?
Explain why using the lines below.
Answer:
= # of games playing
4.75x + 3 = 42
4.75x = 39
x = 39 /4.75
x = 8.21
answer
Shakira played about 8 games
Step-by-step explanation:
Find the value of x.
Answer:
x = 19 cm
Step-by-step explanation:
3+3+2+5+6 = 19
need this asapppp pleaseeeeeeeeeeeeeee
Answer:
D
Step-by-step explanation:
They both share a line/arm, and have the same vertex meaning they are exactly side by side like very close.
John’s Rectangle is _____ units long.
John’s Rectangle is _____ units wide.
The area of John’s rectangle is ____ units^2.
Answer:
John's rectangle is 4 units long
John's rectangle is [tex]3\frac{1}{2}[/tex] units long
The area of John's rectangle is 14 units^2
Step-by-step explanation:
A rectangle has four sides that comprise of two pairs of equal length sides
The side which is the longest side of a rectangle is known as the length, L, of the rectangle
The side which is the shortest side of a rectangle is known as the width, W of the rectangle
Based on the given measurement, the length of the given rectangle which is the length of longest side of the rectangle, which is the 4 units length side
Therefore;
∴ John's Rectangle is L = 4 units long
the width of the given rectangle which is the length of shortest side of the rectangle, which is the side with lengths 3 units and 1/2 units length side
∴ The length of the shortest side of the rectangle, W = 3 units + 1/2 units = 3 1/2 units
∴ John's rectangle is W = [tex]3\frac{1}{2}[/tex] units wide
The area of John's rectangle, A = L × W
∴ The area of John's rectangle, A = 4 units × [tex]3\frac{1}{2}[/tex] units = 14 units².
Check all of the functions that are odd.
f(x)=x3-x2
f(x)=x5-3x3+2x
f(x) = 4x + 9
f (x) = StartFraction 1 Over x EndFraction
Answer:
second and fourth
Step-by-step explanation:
answered the question
A recipe calls for 2 cups of milk for 8 pancakes. To use this recipe to make 16 pancakes, how many cups of mik are needed?
Answer:
4 CUPS OF MILK
Step-by-step explanation:
2 cups of milk=8 PANCAKES
2 X
8 16
16X2=32
32/8= 4
Evaluate the expression (1/3)^2
Answer:
1/9 :)
Step-by-step explanation:
use the power rule, square both numerator and denominator, 1^2 = 1 3^2 = 9
hope this helps!!!!
78-[5+3 of (25-20)]
can you please help me solve this?
Answer:
38
Step-by-step explanation:
➜78-[5+3×(25-20)]
➜78-[8(5)]
➜78-40
➜38
help me asap please!!!!!
Answer:
It's C.
Step-by-step explanation:
The area of a triangle is base times height times 1/2. The base times the height of that triangle is 66. 66 times 1/2 is 33. So, the correct answer is C.
Answer:
66 cm
Step-by-step explanation
11cm x 6 cm= 66cm
can anybody help me in this
Answer:
a) I donot agree with him because as we see the sequence nicely we will find an interval of 8 between any two terms and 32 and 33 don't match them
Step-by-step explanation:
b) and c) Solution:
Given,
First term (a) = 4
Common difference (d) = 12-4 = 8
Now,
Since, they are in A.P.
nth term = a + (n-1)d
= 4 + 8(n-1)
= 4 + 8n-8
= 8n-4
Again,
1st method for c)
100th term = a + 99d = 4 + 99*8 = 4 + 792 = 796
200th term = a + 199d = 4 + 199*8 = 4 + 1592 = 1596
2nd method for c)
100th term = 8*100 - 4 = 800 - 4 = 796
200th term = 8*200 - 4 = 1600 - 4 = 1596
what is the slope of the line that passes through points (-4,9) and (6,12)
Answer:3/10 or 0.3
Step-by-step explanation:
y2-y1/
x2-x1
12-9/6--4
3/10
or 0.3
slope=3/10 or 0.3
Choose the inequality that represents the following
graph.
+
-3
1
1
-5
-4
-2
-1
0
2
3
4
5
Answer:A
Step-by-step explanation:
The circle is open eliminating the equal to options, then look at the arrow, which is going negative showing x < 5
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and inches tall. What was the volume of each cup?
Answer:
47.14 in³
Step-by-step explanation:
Here is the complete question
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and 5 inches tall. What was the volume of each cup?
Volume of a cone = [tex]\frac{1}{3}[/tex]πr²h
π = 22/7
Radius = diameter / 2 = 6 /2 = 3 inches
(1/3) x (3^2) x (22/7) x 5 = 47.14 in³
Helpp!!
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotient.
Answer:
6
Step-by-step explanation:
Reuben made $247 for 13 ours of work.
At the same rate, how many hours would he have to work to make $171 ?
pls help!!!
Answer:
9 hours
Step-by-step explanation:
We can use a ratio to solve
247 dollars 171 dollars
---------------- = -------------
13 hours x hours
Using cross products
247* x = 13*171
247x =2223
Divide each side by 247
247x/247 =2223/247
x=9
perpendicular sides mean plz
Answer:
lines that will never touch
Step-by-step explanation:
these are lines that you could keep drawing and they will never cross or touch
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49. How
many small dogs did Ryan walk?
Answer:
5
Step-by-step explanation:
There are no multiples of 5 or 8 that would end with 9. But if he walks 3 large dogs he gets 24 dollars. if he walks 5 small dogs thats an additional 25 dollars. so he would make 49 dollars.
Which expression is equivalent to the expression for the perimeter of the larger garden. Select all the apply.
Answer:
Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden
Step-by-step explanation:
The complete question is
A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15)+(x+5)+(x+15)+(x+5). Which expression is equivalent to the expression for the perimeter of the larger garden? Select all that apply.
4x+40 2(2x+20) 2(x+15)(x+5) 4(x+15)(x+5) 2(x+15)+2(x+5)Solution
The expression for the perimeter of the larger garden: [tex](x+15)+(x+5)+(x+15)+(x+5)[/tex]
If the given expression is expanded and solved, we get the following
[tex](x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40[/tex]
Hence, option A is correct
Is it possible for the line segments of a triangle to be 6 cm, 7 cm, and 12 cm in length?
Yes or No? And why?
Answer:
Yes because sum of 2 line segment is greater than the third side
Step-by-step explanation:
Does anyone know what 9x*3x/4 is?
Answer and Step-by-step explanation:
We are given the expression [tex]\frac{9x * 3x}{4}[/tex].
First, we need to multiply 9x by 3x. This results us with [tex]27x^2[/tex].
[tex]\frac{27x^2}{4}[/tex] -- This is the final expression simplified. There isn't anything else we can do this expression, as it is not factorable and can't be simplified any further.
#teamtrees #PAW (Plant And Water)
How many solutions does this system have?
y=3/4x-5
-3x+4y=-20
O one
O two
an infinite number
O no solution
Answer:
Infinite number
Step-by-step explanation:
Can someone explain this to me plz Unhelpful answers will be reported
Answer:
axb/2
Step-by-step explanation:
When theres a triangle with a right angle you need to make in a rectangle and divide it by 2
Answer:
In order to find the area of a triangle, you need to use the formula [tex]\frac{1}{2} bh[/tex]. Substitute the known values into the formula and solve the equation.
Step-by-step explanation:
The formula to calculate the area of a triangle is [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] represents the length of the triangle's base, and [tex]h[/tex] represents the length of the triangle's height. Since [tex]b[/tex] and [tex]h[/tex] are variables that have different values in regards to different triangles, that means you should substitute the known/given values of each variable into the formula and solve the equation.
The given line passes through the points (0, ) and (2, 3). On a coordinate plane, a line goes through (0, negative 3) and (2, 3). A point is at (negative 1, negative 1). What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-1,-1)?
Answer:
1st answer i think
Step-by-step explanation:
Use the function below to find F(2)
F(x)=1/3•4^x
Answer
The answer is 16/3
Step-by-step-explain
F(x) = ⅓ • 4ˣ, F(2)
F(2) = ⅓ • 4²
F(2) = ⅓ • 16
F(2) = 16/3
Thus, The answer is 16/3
-TheUnknownScientist
Answer:
Step-by-step explanation:
16/3
I hope it's helpful
5. Twenty volunteers with high cholesterol were selected for a trial to determine
whether a new diet reduces cholesterol. The volunteers were given a low-carb,
low-calorie diet. After 8 weeks of the diet, the average cholesterol of the
volunteers dropped a significant amount. This study is an example of
(A) A controlled experiment.
(B) An uncontrolled experiment.
(C) A double blind experiment.
Ablocked design experiment.
Answer:
(B) An uncontrolled experiment.
Step-by-step explanation:
In the case of an uncontrolled experiment here all participants are provided the similar treatment and there should be no comparison oppose to any group i.e. controlled
Since in the given situation, there are similar diets are provided to 20 volunteers and it can be that the cholesterol level is decreased after particular time period,
Hence, it is an uncontrolled experiment.
Thus, option B is correct.
If the measurement of angle 3 is 120 degrees, what is the measurement of angle 5?