Given:
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
To find:
The probability of both events occurring, in that order.
Solution:
If A and B are two independent events, then
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]
It is given that,
The probability for success of an event is P(A)
The probability of success of a second, independent event is P(B).
Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., [tex]P(A\cap B)[/tex], therefore [tex]P(A\cap B)=P(A)\cdot P(B)[/tex].
Hence, the correct option is A.
Which pair of expressions is equivalent?
Answer:
C is equivalent
Step-by-step explanation:
7/12*4/5
7*4/12*5
28/60
7/15
7/12/5/4
7/12*4/5
7*4/12*5
28/60
7/15
Who could help me with this please and thank you
Answer:
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
Step-by-step explanation:
Let
x = number of students in each van
y = number of students in each bus
This can be represented by the equation
7x + 6y = 394 (1)
3x + 12y = 612 (2)
Using elimination method
Multiply (1) by 2
14x + 12y = 788 (3)
3x + 12y = 612 (2)
Subtract (2) from (3) to eliminate y
14x - 3x = 788 - 612
11x = 176
x = 176/11
x = 16
Substitute x = 16 into (1)
7x + 6y = 394 (1)
7(16) + 6y = 394
112 + 6y = 394
6y = 394 - 112
6y = 282
y = 282/6
y = 47
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
what is the answer to -3/4-1/2
Answer:
-5/4Steps:
-3/4 - 1/2
-3/4 - 2/4
(-3-2)/4
-5/4
Ms. Martin's classroom has lockers for the students to store their things.
The volume of the lockers is 40 ft”.
If the base is 4 feet by 2 feet, how tall are the lockers?
Answer:
h = 5 feet
Step-by-step explanation:
V = lwh
40 = 4 x 2 x h
40 = 8h
h = 5
Mary bought 5/6 of a foot of blue ribbon and 2/3 of a foot of yellow ribbon. she used a combined total of 1/2 foot of ribbon to make bows. how much ribbon does she have left?
Answer:
3/4
Step-by-step explanation:
2/3 = 4/6 so 5/6 plus 4/6 = 1 3/6 then divide by 2, it will give u 0.75 in decimal form which is simplifyed to 3/4, so 3/4 is the answer.
PLEASE HELP! Thank you in advance! :3
Nicholas is buying shirts for his baseball team. He will pay $8.75 for each shirt plus a one-time fee of $25 for the design. Write an equation that can be used to find y, the total cost to buy x shirts.
Answer:He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design.
Which equation can be used to find y, the total cost to buy x shirts?
A) y = 9.5x + 22.5
B) y =22.5x + 9.5
C) y = 9.5x - 22.5
D) y =22.5x - 9.5
He would use equation A.
Step-by-step explanation:If each shirt cost 9.50 you would multiply that by how many shirts you have plus the one time fee of 22.50 you would get the equation y= 9.5x + 22.5
Determine wether each equation is correct. Select yes or no
another one plz help
Answer:
the answer is the 3rd one
13% of 160 is 16% of
A. 13
B. 130
C. 1300
D. 13,000
Answer:
B. 130
Step-by-step explanation:
_______________
Answer:
B - 130
both values are equal to 20.8
Step-by-step explanation:
the first step is figuring out what they want you to compare the multiple choice answers to- 13% of 160, which is equal to 20.8 (160*.13)!
so next, we need to take 16% of each of our answers. we can guess at what our answer isn't going to be, specifically that it cannot be 13 since 20.8 is more than 13. We can also guess its not going to be 13,000, since even ten percent of that is about 130. The same logic can be applied to 1300, ten percent of 1300 (ie dividing 1300 by ten) is 130, again too large.
Therefore, by process of elimination we can guess that its likely B.
As for checking: we have our 20.8 to compare to, and 16% of 130 (.16*130) is in fact 20.8.
calculate the value its asking you to compare to- 13% of 160 (or .13 * 160) is 20.8use process of elimination to eliminate a few answers:the answer cannot be A because A is already smaller than 20.8the answer cannot be D because even 10% of D is 1300 (much more than 20.8the answer cannot be C because 10% of C is 130, more than 20.8that leaves B as our answer- and lets check16% of 130, or .16*130 is equal to 20.8
make k the subject of the formula y=
Answer:
You forgot to send the question. Send the full question when you can
please help with these questions and show how u found them! i will mark brainliest !
Answer:
Step-by-step explanation:
Question 3
5 (k + 4) - 2k
Use distributive property of multiplication.
5k + 20 -2k
Combine like terms to get your answer.
3k +20
Question 4
2 (3 + d - 1)
Simplify the expression in the parenthesis.
2 (2 + d)
Use distributive property of multiplication.
4 + 2d
If you wanted it to be accepted at higher levels, switch the terms around.
2d + 4
In △LMN , the measures of the angles L, M, and N, respectively, are in the ratio 1:2:5. Find the measure of each angle.
Answer:
1- 22.5°
2- 45°
5- 112.5°
Step-by-step explanation:
[tex]180 \div 8 = 22.5[/tex]
[tex]22.5 \times 5 = 112.5[/tex]
[tex]22.5 \times 2 = 45[/tex]
[tex]22.5 \times 1 = 22.5[/tex]
Teacher Materials
**Include in final promotion portfolio**
85°
25
90°
30
100°
25
Does the table show a proportional relationship? How do you know?
Answer:
Step-by-step explanation:
85
I need this pleaseeee
Answer:
2(√17b³ )c⁵
Step-by-step explanation:
We are to simplify the expression given below
√68b³c¹⁰
Simplifying 68
= √(17 × 4)b³c¹⁰
Hence
= 2√17b³c¹⁰
= 2 √17b³ × √c¹⁰
= 2 √17b³ × c¹⁰/²
= 2(√17b³ )c⁵
Amanda increased the amount of protein she eats every day from 48g to 54g. By what percentage did Amanda increase the amount of protein she eats? 11.1%
Answer:
12.5%
Step-by-step explanation:
Previous grams of protein = 48g
Present grams of protein = 54g
By what percentage did Amanda increase the amount of protein she eats?
Percentage increase in the amount of protein = (present grams - previous grams) / previous grams × 100
= (54g - 48g) / 48g × 100
= 6g/48g × 100
= 1/8 × 100
= 0.125 × 100
= 12.5%
Percentage increase in the amount of protein = 12.5%
If 1 US dollars can be exchanged for 0.55 Euros, how many Euros can be obtained when exchanging 47 U.S. dollars?
Answer:
25.85 Euros
Step-by-step explanation:
1 US dollar = 0.55 Euros
0.55 x 47 = 25.85 Euros
Hope this helped :)
Answer:
25.85 Euros
explanation:
If 1 US dollar equals .55 Euros then 47*0.55=25.85 Euros
There will be Elizabeth and Izak record the number of miles they bike each day. The line plots show the distances they each biked for 5 days. How much greater was the shortest distance Izak biked than the shortest distance Elizabeth biked in 1 day
Answer:
See Explanation
Step by step Explanation:
The question is incomplete as the plots that show the distance traveled is not given.
So, I will answer the question with the attached plots.
The number of dots on each day represents the number of miles travelled on that day.
From Elizabeth's plot, the shortest is 1 mile on day 4 (i.e. 1 dot on day 4)
From Izak's plot, the shortest is 2 miles on day 3 (i.e. 2 dots on day 3)
Calculate the difference between both distances
[tex]d = 2\ miles - 1\ mile[/tex]
[tex]d = 1\ mile[/tex]
Hence, the shortest distance travelled by Izak is 1 mile more than the shortest by Elizabeth
Answer:
Step-by-step explanation:
Nine tokens are black on one side and white on the another initially four tokens have the blackside upwards in each turn tell the least number of turns yo need to have all tokens showing the same colour
Answer:
2
Step-by-step explanation:
Let us name the white chips "W" and the black ones "B". If there are 9 tiles and 4 are in black then the rest, that is 5, in white, like this:
B-B-B-B-W-W-W-W-W
First movement, in turn we can flip 3 tiles, in this case we flip two blacks and one white, it would look like this:
W-W-B-B-B-W-W-W-W
The second movement is to turn the 3 black ones and thus they would all be blank
W-W-W-W-W-W-W-W-W
This means that, the smallest number of movements is 2.
hey! i’ll give brainliest thanks
Answer:
Cyrus defeated Medes and the Babylonians.
More Info:
By the 6th century BC, the Medes had built a large empire that included the Persians to the east and the Assyrians to the west. However, in 550 BC Cyrus the Great of Persia conquered the Medes, acquiring Assyria in the process.
Jester has a business that is not doing well. on Friday, he earned 468 dollars. On Saturday, he earned 459. on Tuesday, he earned 432 dollars. How much money did he earned on Thursday?
Answer:
i think is 424. its what my mom just explain to me
Please help me what is the answer I need help fast
the first step is to convert the diameter into a radius measure by using the formula d=2r
when we solve the formula the radius is calculated to be 1.5
use the surface area formula above and your height and radius measurement to find out the area of sheet metal you would need.
2pi(1.5)^2+2pi(1.5)(5)
using 3.14 for pi this equates to 61.23in^2
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6, 6) and (-3,3)
Answer:
[tex]\boxed {\boxed {\sf d\approx 4.2}}[/tex]
Step-by-step explanation:
The formula for distance is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Where (x₁, y) and (x₂, y₂) are the points.
We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:
x₁= -6 y₁ = 6 x₂ = -3 y₂ = 3Substitute the values into the formula.
[tex]d= \sqrt{ (-3 - -6)^2+(3-6)^2[/tex]
Solve inside the parentheses.
-3 --6 = -3+6 = 33-6 = -3[tex]d= \sqrt{(3)^2+ (-3)^2[/tex]
Solve the exponents.
(3)²= 3*3= 9 (-3)²= -3*-3 =9[tex]d= \sqrt{9+9[/tex]
Add.
[tex]d= \sqrt18[/tex]
[tex]d= 4.24264069[/tex]
Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.
[tex]d \approx 4.2[/tex]
The distance between the two points is apprximately 4.2
What is the slope of the line?
Answer:
solpe=-1
Step-by-step explanation:
slope = (y2-y1/X2-X1)
(2,0) (0,2)
(2-0/0-2)
2/-2
slope= -1
how line did you wait in line? is a statistical question
Answer:
yes
Step-by-step explanation:
hopes this helped;0
*probability question* There are 6 red, 6 blue, 8 green, 7 purple, and 8 yellow marbles. As students enter the classroom, they draw a marble and keep it. If the first student in the room draws a yellow, and the 2nd draws a purple, what is the probability that the third student will draw a yellow also?
Answer:
21%
Step-by-step explanation:
8+7+8+6+6= 35 total marbles
35-2 used = 33 marbles left
100/33 = 3% per marble
7 yellow left x 3 % = 21%
Answer:
7/25
Step-by-step explanation:
Let's remove all the marbles that were drawn by the bag first. That makes...
Red: 6
Blue: 6
Purple: 6
Yellow: 7
If we have 7 yellow marbles currently in a bag of 25 marbles, then the chance that the third student draws a yellow is...
7/25
2. X 0 4 7 10 13 y -5 -5 -5 -5 -5 Domain: ______________________ Range: _______________________ Function? _______
Answer:
[tex]Domain =\{0,4,7,10,13\}[/tex]
[tex]Range = \{-5\}[/tex]
[tex]y = -5[/tex] --- function
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}x & {0} & {4} & {7} & {10} & {13} \ \\ y & {-5} & {-5} & {-5} & {-5} & {-5} \ \end{array}[/tex]
Solving (a): The domain
The x values represent the domain.
Hence, the domain is:
[tex]Domain =\{0,4,7,10,13\}[/tex]
Solving (b): The range
The y values represent the range
Hence, the range is:
[tex]Range = \{-5\}[/tex]
Solving (c): The function
By observation, we can see that for all values of x the value of y remains unchanged (-5)
Hence, the function is:
[tex]y = -5[/tex]
Algebra 2 Exponential Growth or Decay? Please
Sara is playing a board game. The probability that Sara will score a point on her next turn is 1/2 . Which statement describes the probability that Sara will score a point on her next turn? *
sara is unlikely to score a point on her next turn
Is this question a statistical question or a non statistical question : If I
surveyed the entire 6th grade and asked, "What is
your
favorite sport" *
A.Statistical
B.non Statistical
Answer:non statistical
Step-by-step explanation:
Answer:
Non- Statistical
Step-by-step explanation:
There are different types of sports. we need to narrow down every single sport.
A goat and a cow together weigh 190 kg 640 g. The weight of the goat is 59 kg 720 g. Find the weight of the cow
Answer: 130 kg 920 g
Step-by-step explanation:
Given
The weight of the goat is 59 kg 720 g
The combined weight of goat and cow is 190 kg 640 g
Suppose, the weight of the cow is x kg
We know, 1 kg=1000 g
Converting weight into kg
Goat weight
[tex]=59+0.720\\=59.720\ kg[/tex]
Total weight
[tex]=190+0.640\\=190.640\ kg[/tex]
Then, the cow weight is given by
[tex]\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g[/tex]