Answer:
Step-by-step explanation:
Having a jack and also having a diamond, satisfies two sets in a Venn diagram. An overlapping set is the intersection of the two. So A is the only one that can be in an intersection of these two sets.
The statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
What are overlapping events in probability?Events that share one or more outcomes are said to be overlapping events.
How to solve the question?In the question, we are asked for the statements from the given options that describe overlapping events.
To check for overlapping events, we analyze each option as follows:-
A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond. The receiving of a jack of diamond shows an overlapping event, with the overlapping of the events of getting a jack and getting a diamond.B. Amanda rolls a three when she needed to roll an even number. The rolling of a three when the requirement was to roll an even number doesn't show an overlapping event as three doesn't fall in even numbers.C. Amanda understands that she cannot get a black diamond when playing poker. The event of getting a black diamond is not overlapping as black cards are spades and clubs, and not diamonds.D. Amanda wants a black card so she can have a winning hand, and she receives the two of hearts. The event of receiving two of hearts when the requirement was of a black card is not an overlapping event as two of hearts is not a black card.Thus, the statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.
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While on a walk in the country, you pass a field full of horses and chickens. After a quick count, you determine there are 43 heads and 122 feet in the field. How many of each animal are there?
Horse = x = 1 head and 4 feet
Chicken =y = 1 head and 2 feet
Horse + chicken = x + y = 43 ( total heads)
Horse = 43 - y
4x + 2y = 122
4(43-y) + 2y = 122
Simplify:
172-4y + 2y = 122
Combine like terms
172-2y = 122
Subtract 172 from both sides
-2y = -50
Divide both sides by-2
Y = 25
X + y = 43
X + 25 = 43
X = 18
There are 18 horses and 25 chickens.
Show how find 42 x 27 using an area number
Answer:
First break it down
42= 40 & 2
27= 20 & 7
Then times 40 & 20 to get 800
20 x 2 to get 40
40 x 7 to get 280
7 x 2 to get 14
Now add them all together.
800 40 1080
+280 +14 + 54
---------- ------- ---------
1080 + 54 = 1134
Find m<1 if m<CUB = 78
[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]
[tex]\\ \sf\longmapsto m<1+48=78[/tex]
[tex]\\ \sf\longmapsto m<1=78-48[/tex]
[tex]\\ \sf\longmapsto m<1=30[/tex]
Find the volume of this figure.
[?] = cubic units
The volume of the given figure us = 36 cubic units
Volume of a rectangular prismThe formula for calculating the volume of rectangular prism is expressed as:
V =lwh
where
l is the length
w is the width
h is the height
T of the given figure is expressed as:
V = 2(3)(5) + 2(3)(1)
V = 30 + 6
V = 36 cubic units
Hence the volume of the given figure is 36 cubic units
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Is Canada‘s population is 1/10 of the United States and Canada‘s population is 32 million how many people live in the United States
Answer:
320M
Step-by-step explanation:
It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:
32,000,000 x 10 = 320,000,000
320,000,000 people live in the US.
~
If 5 is equal to 11
And 7 is equal to 15
And 9 is equal to 19
What is 12 equal to ?????
Answer:
25 is the answer because the numbers are in the relation of (×2+1). 5×2+1=11 7×2+1=15 9×2+1=19 12×2+1=25.
The human body is 65% oxygen, 18% carbon, and 10% hydrogen. The rest is other
elements. What percent is composed of other elements?
Answer:
7% of composed of other elements
Step-by-step explanation:
you have to add the percentages you have then fi d the missing amount
Answer:
7%
Step-by-step explanation:
65 + 18 + 10 = 83 + 10 = 93
100- 93 = 7
7%
Solve w = 9x + 5 y for y
Answer:
w-9x/5=y
Step-by-step explanation:
w=9x+5y
subtract 9x from both sides
w-9x=5y
divide by 5y
w-9x/5=y
When y=35 evaluate -(y+5) and -y-5 to show that -(y+5)=-y-5
Step-by-step explanation:
for y = 35 we get
-(y + 5) = -(35 + 5) = -(40) = -40
-y - 5 = -35 - 5 = -40
both deliver the same result.
what is the greatest digit formed by 5 6 7 8 and 9
Answer:
98765 is the greatest digit that can be formed using those numbers
what is ninety two thousand one hundred seventy
Answer:
92170
I hope it's helps you
Is 0.6 a rational number
Answer:
The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.
Answer:
Yes. 0.6 is a rational number.
Calculate the area of the triangle.
Note: Think about which side to use as the base.
9514 1404 393
Answer:
27 square units
Step-by-step explanation:
The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.
A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area
What is the equation of a line parallel to y = 4/5x + 2 that passes through (1, 2)?
Three times the sum of a number and 18 is at least-30
Answer:
the sum of the number is 16 and it is al least 20 points
write rhis number in standard notation. 1.342×10^-7
Answer:
0.0000001342
Step-by-step explanation:
1/2+1/3+1/6+1/2+1/8+1/4= see problem as an addition problem
Answer:
1 7/8
Step-by-step explanation:
Multiply 546.1 × 0.52 = ____
solve for x of the given angle
Answer :
<LMN = 125°
<MPQ = 125°
what is the 30th square number
plz tell the answer
Answer:
900
.........................
Answer:
900
Step-by-step explanation:
30 square is like 30×30=900
Find the measure of ∠Z.
Answer:
105+105+2x=360 and x=75
Step-by-step explanation:
z=75
Answer:
Step-by-step explanation:
please help 10 points for the question i dont know why but my brain cannot compute this question
9514 1404 393
Answer:
(b) 6^10/7^6
Step-by-step explanation:
The applicable rules of exponents are ...
(a/b)^c = (a^c)/(b^c)
(a^b)^c = a^(bc)
__
This means you have ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\dfrac{(6^5)^2}{(7^3)^2}=\dfrac{6^{5\cdot2}}{7^{3\cdot2}}=\boxed{\dfrac{6^{10}}{7^6}}[/tex]
__
Additional comment
I find it helpful to remember that an exponent signifies repeated multiplication. Then ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\left(\dfrac{6^5}{7^3}\right)\cdot\left(\dfrac{6^5}{7^3}\right)=\dfrac{6^5\cdot6^5}{7^3\cdot7^3}=\dfrac{6^{5+5}}{7^{3+3}}=\dfrac{6^{10}}{7^6}[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 2y = -10
Answer:
y = -5x - 5.
Step-by-step explanation:
10x + 2y = -10 Add -10x to both sides:-
2y = -10x - 10 Divide through by 2:-
y = -5x - 5.
X¹² - 1 แยกตัวประกอบของพหูนาม
Answer:
[tex]\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)[/tex]
Step-by-step explanation:
Factor of [tex]x^{12}-1[/tex] is
[tex]\left(x^2+1\right)\left(x+1\right)\left(x-1\right)\left(x^2+x+1\right)\left(x^2-x+1\right)\left(x^4-x^2+1\right)[/tex]
How would I write a number subtracted from 2 times a number is 19 as an equation?
Answer:
[tex]let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 [/tex]
This is the answer
if wrong please correct me ! :)
5. Find the area of the shaded region as a simplified
expression.
3r
x + 8 stund
2r - 1
x2–5x+3
Answer:
x³ -3x²-34x+24
Step-by-step explanation:
the area of the shaded region =
(x²-5x+3)(x+8) - 3x(2x-1) =
x³+8x²-5x²-40x+3x+24- 6x²+3x =
x³ -3x²-34x+24
Marvin has 2 rabbits. The number of rabbits triples every year. Marvin needs 100 pounds of food to feed one rabbit per year. How many pounds of food will Marvin need to feed his rabbits during the 3rd year?
Answer:
1200 pound
Step-by-step explanation:
year 1: 2 rabbits
year 2: 2 rabbits x 3 = 6 rabbits
year 3: 6 rabbits x 3 = 12 rabbits
12 rabbits x 100 pounds = 1200 pounds
John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.
What was the new status of John's account at this point?
Answer:
210
Step-by-step explanation:-133-55-22=210
Given m|n, find the value of x.
(8x-20)
(8x+8)
Answer:
x=12
Step-by-step explanation:
(8x-20)+(8x+8)=180
16x-12=180
16x=180+12
16x=192
x=12
Answer:
x = 12
Step-by-step explanation:
The given angles are supplementary. Therefore, they have a sum of 180°.
8x - 20 + 8x + 8 = 180
16x - 12 = 180
16x = 192
x = 12
Answer these questions
Step-by-step explanation:
B)1.supplementary
2.complementary
3complementary
4supplementary
5supplementary
6complementary
C)1.40
2.35
3.63
4.130