The missing probability for the given mutually exclusive event is 3/10
What is Mutually Exclusive Event?Mutually exclusive events are those events that do not occur at the same time.
Here, Let P(A) be x,
P(B) = 11/20, P(A or B) = 17/20, P(A and B) = 0
By Addition theorem of Probability,
P(A or B) = P(A) + P(B) - P(A and B)
17/20 = x + 11/20 - 0
x = [tex]\frac{17}{20} - \frac{11}{20}[/tex]
x = 6/20
x = 3/10
Thus, The missing probability for the given mutually exclusive event is 3/10
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Answer:
C) 3/10
Step-by-step explanation:
Applying the Addition Theorem of Probability :
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Here :
P(A ∪ B) = 17/20P(B) = 11/20P(A ∩ B) = 0 (as they are mutually exclusive)Solving :
17/20 = 11/20 + 0 + P(A)P(A) = 17/20 - 11/20P(A) = 6/20 = 3/10A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A. 2/5
B. 4/9
C. 1/2
D. 5/9
Answer:
4/9
Step-by-step explanation:
4/9 is the answer. In the bag there are 10 marbles in total. If I draw a pink marble, there are now 9 marbles and 4 of them are pink, so the answer is 4/9, or B.
Answer:
4/9
Step-by-step explanation:
It's correct!
Which graph and equation shows a proportional relationship between x and y?
Answer:
x is tje best answer bro ...................Write a part -to part ratio that compares the girls to boy . Write this in 3 different forms
The ratio of girls to boys is 4:5.
For every four girls that are in the camp, there are five boys.
The ratio of girls to boys is 4/5.
The ratio of boys to girls is 5:4.
The ratio of boys to girls is 5/4.
The ratio of boys to girls is 1 1/4.
What are the ratios?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign used to denote ratios is :.
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Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is;
y=a^(3)/sqrt(x-h+k)
Three possibilities
For red line
If h is negative then and k is positive then
then they will have two vertical asymptotes one on positive x and other on negative x
If h is negative and k is negative then the side part underroot with x turns negative I e x-(something) then they will form parabolas
You may look purple one
For all values of negative sum of h and k
example √x-k
The graph is parabola (Green one)
For h and k are equal the denominator yields √x and it stops at origin on downwards .(Blue one)
For all values of positive sum of h and k eg denominator as √x+k the graph will be like red one
Answer:
Standard Form of a Cube Root Function
[tex]y=a \sqrt[3]{x-h}+k[/tex]
The parent function is [tex]y=\sqrt[3]{x}[/tex]
[tex]h[/tex] indicates the horizontal shift from the parent function.
If [tex]h > 0[/tex] the shift is to the right, and if [tex]h < 0[/tex] the shift is to the left.
[tex]k[/tex] indicates the vertical shift from the parent function.
If [tex]k > 0[/tex] the shift is up, and if [tex]k < 0[/tex] the shift is down.
[tex]a[/tex] indicates a vertical stretch by scale factor [tex]a[/tex].
If [tex]a < 0[/tex] the function is reflected in the x-axis.
Factor completely.
128-32x + 2x² =
Answer:
[tex]\mathrm {(x - 8)(x + 8)}[/tex]
had to be corrected. sorry for the inconvenience.
Answer:
(x - 8)(x + 8) will be your answer.
Step-by-step explanation:
Lets do this step by step.
1) Find the GCF of the expression.
2x^2 - 32x - 128 --> 2(x^2 - 16x - 64)
2) Use the X-method to factor.
It gives us the expression 2(x^2 - 8x)(-8x -64).
3) Factor for x.
(x^2 - 8x) --> x(x - 8)
(-8x - 64) --> -8(x + 8)
Our answer is (x - 8)(x + 8)
What is the formula that relates circumference and radius?
O A. C+ 2 = 21
O B. C = 277 Dr O C. C= 2ter O D. C= 20/1
HELP QUICK!!!!
Answer:
C = 2πr
Step-by-step explanation:
The circumference of a circle is calculated by the formula here,
C is the circumference of the circle.
r is the radius of the circle.
π is 22/7 or 3.14.
In the given options π is not missing.
Therefore the formula that relates circumference and radius is C = 2πr.
Answer:
C=2πr
Step-by-step explanation:
C =2πr is the formula to calculate circumference of a circle
Where
C=Circumferencer is radiusπ has Approx value 3.141Find the value of x in this figure
PLEASE HELP QUICK
………
Answer:
you need to width x height x length b
Step-by-step explanation:
Length, width, and height are measurements that allow us to indicate the volume of geometric bodies. The length (6 cm) and the width (10 cm) correspond to the horizontal dimension. On the other hand, the height (5 cm)refers to the vertical dimension.
Dots sells T-shirts ($5) and shorts ($9). In April, total sales were $570. People bought 2 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?
The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Dots sells T-shirts ($5) and shorts ($9).
In April, total sales were $570. People bought 2 times as many T-shirts as shorts.Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,
[tex]5x+9y=570[/tex]
Solve it further,
[tex]5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}[/tex] ....1
People bought 2 times as many T-shirts as shorts. Thus,
[tex]x=2y[/tex] ....1
Put the value of y form equation in this equation as,
[tex]x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60[/tex]
Put this value of x in equation 2 as,
[tex]x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30[/tex]
Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.
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anyone understands this?
Answer:
[tex]144^{90}[/tex]
Step-by-step explanation:
sqrt (144^180) = (144^180 )^1/2 = 144^90
f(x) = 4x^2 - 3 find f(x + 2)
Answer:
f(x + 2) = 4x² + 16x + 13
Step-by-step explanation:
f(x) = 4x² - 3
Then
f(x + 2) = 4(x + 2)² - 3
= 4(x² + 4x + 2²) - 3
= 4(x² + 4x + 4) - 3
= 4x² + 16x + 16 - 3
= 4x² + 16x + 13
An individual is making chicken-stuffed peppers for the gluten-intolerant and pita breads for the vegetarians in a cooking class. Each chicken-stuffed pepper takes twice as long to make as a pita bread. The individual needs to feed 3 gluten-intolerant and 8 vegetarian classmates. The individual has 7 hours, how much time can he spend on each chicken-stuffed pepper?
Answer:
Step-by-step explanation:
PLEASE HELP?! IM SO SORRY I AM NOT GOOD AT MATH!!
Answer:
C.
Step-by-step explanation:
-3 7/8 rounds down to -4
4.63 rounds up to 5
-4 x 6 + 5
-24 + 5
-19
her answer (-19.14) also rounds to -19
So yes, it is reasonable and the correct response is C.
Pls, look at the picture for the question.
Answer:
Step-by-step explanation:
Answer
When you put this into your calculator, you get - 7.2111. The closest point to that is L.
Answer: -7.2111 is closest to L
5b) Find the surface area of the triangular prism. Round your answer to two decimal places.
Answer:
693.19 m^2.
Step-by-step explanation:
This consists of 2 triangles and 3 rectangles,
Surface area = 2 * 1/2 * 3 * 9 + 9*31 + 3*31 + 9.49*31
= 27 + 279 + 93 + 294.19
= 693.19 m^2
Ben tracked the attendance in his class over a period of time and recorded the data in a frequency table.
Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots
A dot plot for the attendance in Ben's class over a period of time is shown in the image attached below.
What is a dot plot?A dot plot can be defined as a type of line plot that is used to graphically represent a data set above a number line, especially through the use of dots.
In this scenario, a dot plot for the attendance in Ben's class over a period of time would be plotted as shown in the image attached below.
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30x–100y=3,000 find where the x and y intercept
Answer:
Slope = -0.020/2.000 = -0.010
x-intercept = 3000/1 = 3000.00000
y-intercept = 3000/100 = 30
Step-by-step explanation:
I think
Which expression shows 35+ 15 written as a product of two factors?
7(5+2)
5(6 + 3)
5(7 + 3)
7(5+3)?
Answer:
5(7+3)
Step-by-step explanation:
Because 7+3=10 and 10x5=50. And also 35+15=50 so 50 and 50
Hey there!
35 + 15
= 50
Option A.
7(5 + 2)
= 7(5) + 7(2)
= 35 + 14
= 49
49 ≠ 50
Option B.
5(6 + 3)
= 5(6) + 5(3)
= 30 + 15
= 45
45 ≠ 50
Option C.
5(7 + 3)
= 5(7) + 5(3)
= 35 + 15
= 50
50 = 50
Option D.
7(5 + 3)
= 7(5) + 7(3)
= 35 + 21
= 56
56 ≠ 50
Therefore, the answer should be:
Option C. 5(7 + 3)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Mrs. bell has a 256 ounce bag of potting soil what is the greatest number of 6 ounce pots she can completely fill with soil
For a tiger, there are approximately 4.2 lbs, of muscle for every 7.4 lbs. of body weight. How much of the weight is muscle on a 563 lb. tiger?
Answer:
320
Step-by-step explanation:
563/7.4=76
76*4.2=320
Solve: Eleven coins (dimes and nickels) are worth 60 cents. How many
dimes are there? _____
Solve: Eleven coins (dimes and quarters) are worth 170 cents. How many
dimes are there? _____
Answer:
first solve is 10 nickels and 1 dime
second solve is 4 quarters and 7 dimes
Step-by-step explanation:
see attached picture of both math details
What is the height of the trapezoid?
Answer:
11 units
Step-by-step explanation:
The height of a trapezoid is the distance between the parallel bases.
__
Here, one base lies on the horizontal line y=5, and the other lies on the horizontal line y = -6. The distance between them is ...
5 -(-6) = 5 +6 = 11
You can also find this distance by counting the grid squares between the two parallel lines.
The height of the trapezoid is 11 units.
_____
Additional comment
The base lengths are ...
AB = 2 -(-5) = 7
CD = 8 -(-7) = 15
The area is 1/2(b1 +b2)h = (1/2)(7 +15)(11) = 121 square units.
WILL GIVE BRAINLIEST, STARS, POINTS, AND THANK YOU FOR THE RIGHT ANSWER!!!
PLEASE. PLEASE HELP MEEE.
Computing Residuals
1/3
The table and scatter plot show the average monthly temperature, x, and a family's monthly heating cost, y, for 11 different months.
The equation of the line of best fit is y= -1.1x + 91.30
Use the equation of the line of best fit to fill in the blanks below.
Give exact answers, not rounded approximations.
Answer:
1st blank: $51.00. 3rd blank: 1.1 5th blank: 24.2
2nd blank: $67.00. 4th blank: 91.30. 6th blank: -57.4
Step-by-step explanation:
3) Which of the following is greater than 2?
a)3/4 + 1 1/8
b)8/6 +
9/12
c) 13/20 + 11/12
Help me solve this question
-2 1/3 - ( - 5) = ?
Answer:
2 2/3
Step-by-step explanation:
-2 1/3 - ( - 5)
We are subtracting a negative which is like adding
-2 1/3 + ( 5)
The signs are different so we subtract and take the sign of the larger
5 - 2 1/3
Borr from the 5
4 3/3 - 2 1/3
2 2/3
The sign of the larger was positive so the answer is positive
2 2/3
Please solve this step by step. The winner gets brainliest award. :D
Answer:
538 dollars
Step-by-step explanation:
Principal is 500$ rate is 0.019 time is 4 years so (500)(0.019)(4)500 x 0.019 = 9.59.5 x 4 = 38500 +38 = 538Answer:
539.
Step-by-step explanation:
add 1.9 percent every year, (use this new number to take 1.9 percent out of next time)
1 500
2 509.5
3 519.1805
4\ 539.09678316
what is the solution to this inequality x over 10 +6 >8 x<74 x>74
The solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequality is:-
x / 10 + 6 ≥ 8
Put the value of x = 20
20 /10 + 6 ≥ 8
2 + 6 ≥ 8
8 ≥ 8
So the value of x will be greater than 20 or equal to 20.
Therefore the solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
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Two vertices of a right triangle have coordinates (0,0) and (4.0), as plotted on the grid below. The hypotenuse of the triangle is 8 units long.
(0.6)
(4.0)
if the triangle's third vertex has coordinates (0,y), which is a possible value of y?
02
0 4√2
043
Answer:
y=2
Step-by-step explanation:
due to diagram have done the steps in the image
Help how do i do this
Answer:
406.3 cm²
Step-by-step explanation:
The total surface area is the sum of the base area and the lateral area. The lateral area is the sum of the areas of the 6 congruent triangular faces.
__
lateral areaEach triangular face has a base of 8 cm and a slant height of 10 cm. Its area is ...
A = 1/2bh
A = 1/2(8 cm)(10 cm) = 40 cm²
Then the area of 6 faces is 6×40 cm² = 240 cm².
total areaThe base area is given.
The total area is the sum of the lateral area and the base area:
total area = 240 cm² +166.3 cm² = 406.3 cm²
The surface area is about 406.3 cm².
What is 69.1% as a decimal?
Answer:
0.691
Step-by-step explanation:
Since a percentage means out of 100, divide the percentage by 100
69.1÷100= 0.691
0.691
100% = 1.00 helps me remember where the decimal goes.