Probability helps us to know the chances of an event occurring. The probability of getting a tail and an even number is 0.25.
What is Probability?
Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Since a coin has two faces, therefore, the probability of getting either of the sides of the coin is (1/2). While a die has six faces, so the probability of getting any side of the die is (1/6).
A.) The probability of getting a tail and an even number can be written as,
[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]
[tex]\text{Probability of Even Number(2,4,6) } = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
[tex]\text{Probability (Tails and an even number)} = \dfrac12 \times \dfrac12 = 0.25[/tex]
B.) The Probability of getting tails and the number 9 can be written as,
[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]
[tex]\text{Probability of Number 9} = \dfrac{0}{6} = 0[/tex]
[tex]\text{Probability of the tails and the number 9} = 0[/tex]
C.) The Probability of getting Heads or a number bigger than 4 can be written as,
[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]
[tex]\text{Probability of a number bigger than 4 (5,6) } = \dfrac{2}{6} = \dfrac{1}{3}[/tex]
[tex]\text{Probability (Heads or a number bigger than 4 )} = \dfrac12 + \dfrac13 = \dfrac{5}{6} = 0.83333[/tex]
D.) The Probability of getting Heads or the number 2 can be written as,
[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]
[tex]\text{Probability of the number 2} = \dfrac{1}{6}[/tex]
[tex]\text{Probability (Heads or the number 2 )} = \dfrac12 + \dfrac16 = \dfrac{8}{12} = 0.6666[/tex]
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Solve for x in the diagram below.
please answer, thank you so so so so so so so so much!
Answer:
A = 160 in²
Step-by-step explanation:
Split this up into 3 rectangles and find the area of each (A = bh). Then add up all the areas to get the total area of the figure.
Rectangle A
A = 10 x 7
A = 70 in²
Rectangle B
A = 11 x 6
A = 66 in²
Rectangle C
A = 4 x 6
A = 24 in²
Total Area
A = 70 + 66 + 24
A = 160 in²
Hope this helps and God bless!
Answer:
160
Step-by-step explanation:
Do (6x4)+(6x18)+(7x4)
You don't need to put the parentheses but it makes it look better and make it easier to understand.
Which of the following is an equivalent expression to the expression a1/3 / a1/4
A. A1/12
B. A7/12
C. 1/1/1/a12
D. 1/7/a12
Answer:
Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]
Step-by-step explanation:
[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]
Simplify the expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]
Transform the Expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]
Calculate
[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]
pls help complete the sequence
Step-by-step explanation:
1,2,4,8,16,32,64,128
Multiplying by 2
1,3,5,7,9,11
Adding 2
30, 25, 20, 15, 10, 5
Subtracting 5
Answer:
1,2,3"8"16,32"64"128
1"3"5,7"9"11
30"25""20"15,10,5
Step-by-step explanation:
by x2
I'LL MARK BRAINLIST
A test of 10 different types of candy are being tested. If a person is given 6 of the candies to taste how many combinations are possible?
A box contains ten cards labeled Q,R,S,T,U,V,W,X,Y, and Z. One card will be randomly chosen. What is the probability of choosing a letter from Q to T?
Write your answer as a fraction in simplest form.
Answer:
4/10 = 2/5 = 40%
Step-by-step explanation:
Q,R,S,T = 4
Q R S T U V W X Y Z =10
Tell whether the ordered pair is a solution of the linear system.
(4, -1)
x + 2y = 2
x - 2y = 6
Answer:
(4,-1) is a solution
Step-by-step explanation:
x + 2y = 2
x - 2y = 6
We want to see if (4,-1) is a solution to the system.
To do so we plug in x = 4 and y = -1 into both equations and if it is true then the ordered pair is a solution but if one of the equations isn't true then the solution isn't a solution
x + 2y = 2
==> plug in x = 4 and y = -1
4 + 2(-1) = 2
==> multiply 2 and -1
4 - 2 = 2
==> subtract 2 from 4
2 = 2
x - 2y = 6
==> plug in x = 4 and y = -1
4 - 2(-1) = 6
==> multiply -2 and -1
4 + 2 = 6
==> add 4 and 2
6 = 6
Both equations are true therefore (4,-1) is indeed a solution to the system
solve for x : -172 = -11x + 4
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Alright so:
-172 = -11x + 4
-4 - 4 (-4 on both sides)
so,
-176 = - 11x
divide by -11
so,
-11x ÷ - 11 = x
-176÷-11= 16
x=16
A company makes an ice-cream treat in the shape of a hemisphere on top of a cone, as shown below.
2 cm
10 cm
Answer:
56/3 pi cm^3
Step-by-step explanation:
1/2 volume of sphere = 1/2 4/3 pi r^3
volume of cone 1/3 pi r^2 h
r =2 h = 10
result : 56/3 pi cm^3
The volume of the ice cream is 58.64 cubic cm.
What is a three dimensional figure?A three dimensional figure has three dimensions as length, breadth and height. The volume of a three dimensional figure is the amount of the substance contained by it.
Given that,
The height of cone part of the ice cream is h = 10 cm.
The radius of the hemisphere is r = 2 cm.
As per the diagram given the radius of the hemisphere is equal to the radius of cone as 2 cm.
The volume of hemisphere is given as (2/3) × πr³.
And, the volume of cone is given as (1/3) × πr²h.
Now, the volume of the ice cream treat is equal to the sum of the volume of cone and hemisphere as,
V = (1/3) × π × r²h + (2/3) × π × r³
Substitute the values to get,
V = (1/3) × π × 2² × 10 + (2/3) × π × 2³
= (56/3) × π
= 58.64
Hence, the volume of the ice cream treat is 58.64 cubic cm.
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In how many ways can she grab 3 Snickers, 2 Starbursts, and 2 Reese's?
(1) Basket (2) Hands (3) Cart. 3 ways i can think of
i need answer please
Answer:
∠ BED = 57°
Step-by-step explanation:
angles on the circumference subtended by the same arc are congruent,
∠ BCD and ∠ BED are both subtended by arc BD , then
∠ BED = ∠ BCD = 57°
-5=0.1x-8.5 what is the answer
Answer:
x = 35
Step-by-step explanation:
hope this helps
Answer: x = 35
Step-by-step explanation:
-5 = 0.1x - 8.5
Step 1: Rewrite the equation:
0.1x - 8.5 = -5
Step 2: Add 8.5 on both sides.
0.1x = 3.5
Step 3: Divide 0.1 on both sides.
x = 35
Please hurry... Have a blessed day!
Answer:
A
Step-by-step explanation:
divide all sides by four and you get first answer.
Harper has a bag that contains apple chews, cherry chews, and lime chews. She
performs an experiment. Harper randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Harper performs the experiment 38 times.
The results are shown below:
An apple chew was selected 22 times.
A cherry chew was
selected 6 times.
A lime chew was selected 10 times.
Based on these results, express the probability that the next chew Harper removes
from the bag will be lime chew as a percent to the nearest whole number.
Which polynomial matches the expression -x (x – 3)?
Answer:
=> -x² + 3x
Step-by-step explanation:
-x (x – 3)
=> -x² + 3x
an equation for 72th term in 4,7,10,13
Answer:
[tex]\huge\boxed{\bf\:Equation: a_{72} = 4 + (72 - 1)3}[/tex]
[tex]\huge\boxed{\bf\:a_{72} = 217}[/tex]
Step-by-step explanation:
Let the series be: 4, 7, 10, 13,.....
Given,
First term (a) = 4Common difference (d) = [tex]a_{2} - a_{1} = 7 - 4 = \bf\:3[/tex]Number of terms (n) = 72[tex]72^{nd}[/tex] term of the series ([tex]a_{72}[/tex]) = ?We know that,
[tex]\bf\:a_{n} = a + (n - 1)d[/tex]
Equation for the [tex]72^{nd}[/tex] term of the series,
[tex]\boxed{\bf\:a_{72} = 4 + (72 - 1)3}[/tex]
By using this formula & substituting the values,
[tex]a_{72} = 4 + (72 - 1)3\\a_{72} = 4 + (71)3\\a_{72} = 4 + 213\\\boxed{\bf\:a_{72} = 217}[/tex]
•°• The [tex]72^{nd}[/tex] term of the series is 217.
[tex]\rule{150pt}{2pt}[/tex]
In a box there are 11 similar balls where 8 are red and the remaining are blue. if we draw one ball at random.then what is the probability to draw a blue ball?
Answer:
27%
Step-by-step explanation:
There are 11 balls in total. If 8 are red, (11-8) are blue =3
3/11 is the fraction of blue balls. Convert to percent =27%
If f(1) = 1 and f(n) = 5f(n-1) + 4 then find the value of f(5).
Answer:
[tex]f(5)=1249[/tex]
Step-by-step explanation:
Given:
[tex]f(1)=1[/tex][tex]f(n) = 5f(n-1)+4[/tex][tex]\implies f(2) = 5f(1)+4=5(1)+4=9[/tex]
[tex]\implies f(3) = 5f(2)+4=5(9)+4=49[/tex]
[tex]\implies f(4) = 5f(3)+4=5(49)+4=249[/tex]
[tex]\implies f(5) = 5f(4)+4=5(249)+4=1249[/tex]
What is the measure of WV
(Value of x is 19)
When finding an indefinite integral, your answer must include:.
Answer:
is the set of infinitely many primitives that a function can have. It is represented by ∫ f(x) dx. It reads: integral of x differential of x. ∫ is the integration sign.
Richard and Cameron buy a carton containing 6 66 eggs. The back of the carton says, "The expected number of broken eggs per package is 0.12 0.120, point, 12." Richard says, "The probability that one of these cartons contains a broken egg is 0.12 0.120, point, 12, on average." Cameron says, "For every 100 100100 packages like this, we'd predict about 12 1212 broken eggs in total." Whose statement is correct based on the expected value?
Using the binomial distribution, it is found that Cameron's statement is correct based on the expected value.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np.
In this problem, we have that:
The probability of a package containing a broken egg is of p = 0.12.There is a sample of 100 packages, hence n = 100.Thus, the expected value is given by:
E(X) = np = 100 x 0.12 = 12.
Hence, Cameron's statement is correct.
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1. Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P(A ∩ B)?
Answer:
It's {2} since it's the common between A and B
A museum receives an average of 488 visitors per day. The museum 15 open every day. A. Estimate the number of visitors the museum receives during a month.
An estimate of the number of visitors that vist the museum during a month given the average number of visitors per day is 15,128.
What is multiplication?
Multiplication is an arthmetic operation that can be used to determine the product of a number. The sign used to denote multiplication is x.
How many visitors does the museum have in a month?
In order to determine this value, multiply the average daily visitors by the number of days in a month
488 x 30 = 15,128
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If the quadratic equation x2 + 6x + 19 = 0 is rewritten in the form (x - p)2 = q ,
what is the value of p and q
Answer:
p = -3
q = -10
Step-by-step explanation:
[tex]x^{2}+6x+19=x^{2}+6x+9+10[/tex]
[tex]\text{we know that} \ x^{2}+6x+9=\left (x+3)^2\right\ \text{ because it is a special product}[/tex]
[tex]\text therefore \ ,\ x^{2}+6x+19=(x + 3)^2+10[/tex]
[tex]\text therefore \ ,\ x^{2}+6x+19=0 \ means\ (x + 3)^2= -10\ means\ (x -\ - 3)^2= -10[/tex]
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as kim's fish
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish. So, Doug caught a fish that was 3/5 meters long.
What is the fundamental principle of multiplication?
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways
Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish.
Kim caught a fish of length = 9/10 m
Doug caught a fish of length = 2/3 as long as Kim's fish.
= 2/3 x 9/10
= 18 / 30
= 3/5
Thus, Doug caught a fish that was 3/5 meters long.
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help me out on this..
Answer:
The answer would be to shade 2 parts as 10 percent of 20 is 2.Hope this helps!
Step-by-step explanation:
pls help me solve this answer its urgent
Answer:The equations representing the lines that are perpendicular to line m are:
B. y = -2/3x +4
E. y+1=-4/6(x+5)
Step-by-step explanation:Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.
For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).
Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:
y + 2 = 3/2x + 6
y = 3/2x + 6 - 2
y = 3/2x + 4
The slope is therefore 3/2.
Negative reciprocal of 3/2 is -2/3.
Examine each of the equations given and see which equation has a slope of -2/3.
A. y = -3/2x +4, the slope is -3/2.
B. y = -2/3x + 4, the slope is -2/3. (perpendicular)
C. y = 2/3x +4, the slope is 2/3.
D. y = 3/2x +4, the slope is 3/2.
E. y+1=-4/6(x+5), rewrite in slope-intercept form
y+1=-4/6x + 20/6
y + 1 = -2/3x + 10/3
The slope is -2/3. (perpendicular)
F. y+ 1 = 3/2(x + 5), the slope is 3/2.
Therefore, the equations representing the lines that are perpendicular to line m are:
B. y = -2/3x +4
E. y+1=-4/6(x+5)
Queetlon 10 or 15
People leaving the library were aaked how many books they checked out that
day The resulta are:
1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20
Which histogram correctly ahows the data set?
Books Checked Out
0-5 6-11 12-1718-23
Number of booke
Books Checked Out
Answer:
[B]
Step-by-step explanation:
Given:
People leaving the library were asked how many books they checked out that day The result are: 1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20
To Find:
Which histogram correctly shows the data set?
Solution:
Since it given from the histogram:
0-5, 6-11, 12 - 17,18-23
From the result :
1,2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 20
Thus,
1,2,3,5 = 0-5
8,9,10,11 = 6-11
12,13,14,15,16 = 12-17
18,20 = 18-23
From this we can see that:
for
0 - 5 = 4
6 - 11 = 4
12 - 17 = 5
18 - 23 = 2
Hence, the answer is [B]
Kavinsky
HELPPPP FIND THE AREA
you can just split the figure in 2 separate figures and them add the areas:
area rec. 1:
3m×3m= 9m²
area rec. 2:
3m× (2m+3m)
= 3m×5m
=15m²
total area:
9m²+15m²= 24m²
Answer:
Area = 24
Step-by-step explanation:
Work and explanation ~
i really need help ASAP
Answer:
B
Step-by-step explanation:
2q+437= 931
subtract 437
2q= 494
divide by 2
q= 247