Answer: They are not mutually exclusive events.
Step-by-step explanation:
Let A be the event of getting a sum of 6 on dice.
Let B be the events of getting doubles .
A={ (1,5), (2,4), (3,3), (4,2), (5,1) }
B = { (1,1) , (2,2), (3,3), (4,4), (5,5), (6,6) }
Since we know that Mutaullty exclusive events are those when there is no common event between two events.
i.e. there is empty set of intersection.
But we can see that there is one element which is common i.e. (3,3).
So, n(A∩B) = 1 ≠ ∅
Hence, they are not mutually exclusive events.
Answer:
They are not mutually exclusive events.
Step-by-step explanation:
This system has one solution. y=x2−3x+7y=3x−2 What is the y-coordinate of the solution? Enter your answer in the box.
A store owner buys a total of 4,000 items for two different products. For shipping costs, it is $0.10 per item of product A and $0.04 per item of product B. If the total shipping cost is $352, which system of equations can be used to determine how much of product A and product B the store owner bought?
rewrite using parentheses to make each statement true
a: 42 + 12 ÷ 6 = 9
b: 33 - 14 1/2 + 3 1/2 = 15
c: 32 ÷ 8 x 2 = 2
all i need to know is where parentheses go.
PLEASE HELP ASAP!!!!!!!!!!!
A number cube with six sides numbered 1 through 6 is rolled. The probability of rolling a 5 is 16. What is the probability of not rolling a 5? Enter your answer as a fraction, in simplest form, in the box.
r+3.2=6.1
What is the value of r? Show work
if 5 bags cost $255.35 how much would 2 bags cost
Answer:
yes 102.14
Step-by-step explanation:
The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a. 8.1 c. 1.081 b. 0.81 d. 81
what is this plzz need help for math homework it is very hard
For the total length of the five rods in terms of a is L = 15a.
The formula for the Total Length of Five Rods
Certainly! To find a formula for the total length (L) of the five rods in terms of a, let's denote the lengths of the rods as a, 2a, 3a, 4a, and 5a (since there are five rods, each consecutive rod has a length that is one unit greater than the previous rod). So, the lengths of the rods are:
First rod: a
Second rod: 2a
Third rod: 3a
Fourth rod: 4a
Fifth rod: 5a
Now, to find the total length (L), add up the lengths of all the rods:
L = a + 2a + 3a + 4a + 5a
Combine like terms:
L = (1 + 2 + 3 + 4 + 5) · a
The sum of the first n natural numbers is given by the formula n(n + 1)/2, so in this case:
L = 5 · 6/2 · a
Simplify the expression:
L = 15a
So, the formula for the total length L in terms of a is L = 15a.
The complete question is:
Here are five straight rods.
All measurements are in centimeters.
The total length of the five rods is L" " cm.
Find a formula for L in terms of a.
Write your formula as simply as possible.
The measures of the angles of triangle ABC are angle a 48 degrees angle B 6x - 28 angle C 2x what is the value of x
Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...
a(1)=
a(n)=
Answer:
The value is:
a(1)=10 and a(n)=(-8)×a(n-1)
Step-by-step explanation:
We are given a sequence as:
10, -80 , 640 , -5120 ,.........
since by looking at the sequence we could see that it is a geometric progression (G.P.) with common ratio -8.
Also a(1) denotes the first term of the sequence and a(n) denotes the nth term of the sequence.
a(1)=10
Also a(n)=(-8)×a(n-1)
since a(1)=10
a(2)=(-8)×10=-80
a(3)=(-8)×(-80)=640
a(4)=(-8)×640=-5120
and so on.
Hence the answer is:
a(1)=10 and a(n)=(-8)×a(n-1)
Jasmine has a piece of ceramic tile that is shaped as a parallelogram. What is the area of this parallelogram?
96 in²
288 in²
352 in²
384 in²
288 would be your Answer hope this helps
Plz help please thanks so much
Can someone please help me with 2,3,4
jamal purchased a boat for 7/10 of the asking price of $18,950. He had to pay 6.5% sales tax. What was the amount of Jamal's bill?
I really need the answer I’ve been stuck on this all day
Which expression is equivalent to the expression below? Select all that apply. –25(15 – 20d + 5c) A. –30 + 40d – 10c B. –6 + 8d – 2c C. –2c + 8d – 6 D. 6 – 8d + 2c
The equivalent expressions are [tex]-6+8d-2c[/tex] and [tex]-2c+8d-6[/tex]. So, the correct options are B and C.
Given:
The given expression is:
[tex]-\dfrac{2}{5}(15-20d+5c)[/tex]
To find:
The equivalent expressions.
Explanation:
We have,
[tex]-\dfrac{2}{5}(15-20d+5c)[/tex]
Using the distributive property, we get
[tex]=-\dfrac{2}{5}(15)-\dfrac{2}{5}(-20d)-\dfrac{2}{5}(5c)[/tex]
[tex]=-6+8d-2c[/tex]
It can be rewritten as:
[tex]=-2c+8d-6[/tex]
The equivalent expressions are [tex]-6+8d-2c[/tex] and [tex]-2c+8d-6[/tex]. Therefore, the correct options are B and C.
Learn more:
https://brainly.com/question/7627111
Upon applying the distributive property, the given expression, –25(15 – 20d + 5c), simplifies to –375 + 500d – 125c. None of the options provided match this expression, making the correct answer 'None of the above'.
Explanation:The student is asked to find an expression equivalent to –25(15 – 20d + 5c). To do this, we will apply the distributive property to multiply –25 by each term inside the brackets. This gives us:
–25 × 15 = –375–25 × (–20d) = 500d–25 × 5c = –125cCombining these we get the expression –375 + 500d – 125c. When we look at the options provided, none are equivalent to the expression we derived. Therefore, the correct answer is:
None of the aboveLearn more about Equivalent Expression here:https://brainly.com/question/34140345
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Explain how to write a word problem to match the inequality d < 120. Demonstrate with an example.
Answer:
So the Variable D has to be less than 120, which means the problem has to state that a certain number cannot be bigger than 120.
Step-by-step explanation:
Solve for d.
13d + 4 = 43
A.3
B.13
C.39
D.None of the above
Tamara has 12 pencils. There are three red pencils and p other pencils. Write an equation to represent this situation.
There are 6 brown, 5 blue, and 2 orange marbles in a hat. What is the probability of picking two orange marbles in a row without returning the marbles back to the hat? (Write your answer as a fraction.)
Kim and her 5 friends hiked over a three day weekend hey hiked the same distance each day how many miles did they hike per day?
Answer:
3
Step-by-step explanation:
How many triangles exist with the given side lengths?
12 in, 15 in, 18 in
A.
No triangle exists with the given side lengths.
B.
More than one unique triangle exists with the given side lengths.
C.
Exactly one unique triangle exists with the given side lengths.
Median; 1.5
Median; 3
Mean; 1.5
Mean; 3
Answer:
the median is the number in the middle the mean is the sum of all numbers and divided
Step-by-step explanation:
mean 1,2,3,4,5,6
1+2+3+4+5+6=21
21/6= 3.5 <- mean
Median 1,2,3,4,5,6
2,3,4,5
3,4
median 3.5
ILL GIVE BRAINLIEST PLEASE ORDER THESE LEAST TO GREATEST
Please help asap!
Two angles are supplementary. If one angle measures 43 degrees, what is the measure of the second angle?
A. 47 degrees
B. 57 degrees
C. 137 degrees
D. 147 degrees
Answer:
147
Step-by-step explanation:
Which expression is equivalent to 12(2+3x−6) ?
3x−4
32x−5
3x−5
32x−2
Answer:
A. 3X-4
Step-by-step explanation:
which numbers have exactly 2 factors
Sarah is blowing up spherical balloons for her brother's birthday party. One of the balloons has a radius of 3 inches. Round to the nearest tenth.
Suppose Sarah can inflate the balloon at a rate of 200 cubic inches per minute. How long will it take her to inflate the balloon?
Final answer:
Sarah will take approximately 0.6 minutes or 34 seconds to inflate a spherical balloon with a radius of 3 inches at a rate of 200 cubic inches per minute, after calculating the volume of the balloon and dividing by the rate.
Explanation:
How long will it take Sarah to inflate a spherical balloon with a radius of 3 inches at a rate of 200 cubic inches per minute?
To solve this problem, we first need to calculate the volume of the spherical balloon using the formula for the volume of a sphere, which is [tex]V = \(\frac{4}{3}\)\pi r^3[/tex], where r is the radius of the sphere. In this case, the radius is 3 inches. Plugging the values into the formula, we get:
[tex]V = \(\frac{4}{3}\)\pi (3)^3 = \(\frac{4}{3}\)\pi (27) = 36\pi cubic inches[/tex]
Now, given that Sarah can inflate the balloon at a rate of 200 cubic inches per minute, we can calculate the time it takes to inflate the balloon by dividing the total volume by the rate:
[tex]Time = \(\frac{Volume}{Rate}\) = \(\frac{36\pi}{200}\) minutes[/tex]
Using the approximation \(\pi = 3.14\), this results in:
[tex]Time = \(\frac{36 \times 3.14}{200}\) = \(\frac{113.04}{200}\) ≈ 0.565 minutes[/tex] or about 33.9 seconds, rounded to the nearest tenth.
Therefore, it will take Sarah approximately 0.6 minutes or 34 seconds to inflate the balloon.
The constant of proportionality between the circumference and _______ of a circle is equal to π which means that for any given circle, the length around the circle _______ by its diameter is a little over _______ , or more exactly π
Blank 1: Diameter or radius
Blank 2: Divided or multiplied
Blank 3: 4, 3, or 5
PLEASE ANSWER ASAP
there was a warning of volcano eruption in Kilauea in Hawaii. from September 7th to September 8th 2014, the flow advanced about 3/8 kilometers towards the edge of highway 130. the distance (in kilimeters) between the edge of the lava flow and the highway 130 can be given by the function f(t)=6-3/8t where t is the number of days since September 9, 2014. what is the input variables? What are the units of the input variable?