Answer:
The probability is 32/81
Step-by-step explanation:
We know that:
The probability that the team wins is p = 2/3
Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3
The team plays 4 matches.
We want to find the probability that the team wins 1 more than half of the number of matches played.
So if there are 4 matches, the half is 2 matches
one more than half is then 3 matches.
Let's assume that the team wins the first 3 matches, and does not win the last match.
match one, the team wins with prob: P₁ = 2/3
match two, the team wins with prob: P₂ = 2/3
match three, the team wins with prob: P₃ = 2/3
match four, the team wins with prob: P₄ = 1/3
The joint probability is the product of all the individual probabilities:
P = (2/3)*(2/3)*(2/3)*(1/3)
Now we must also considerate the permutations, we have the cases:
the team does not win the fourth match
the team does not win the third match
the team does not win the second match
the team does not win the first match
So we have just four permutations, then the total probability is:
probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)
Sum of two digit number is9.When we interchange the digits it is found that the resulting new number becomes twice the other number. What are the numbers
Answer:
4 and 5
Step-by-step explanation:
Let the numbers be x and y
If their sum is 9, hence;
x + y = 9 ....1
When reversed
10y+x = 2(10x+y)
10y+x = 20x + 2y
10y - 2y = 20x - x
8y = 19x
y = 10x/8 ...2
Substitute equation 2 into 1;
From 1;
x+y = 9
x +(10x/8) = 9
18x/8 = 9
18x = 72
x = 72/18
x = 4
Since x+y =9
y = 9-x
y =9-4
y = 5
Hence the numbers are 4 and 5
Which could be the missing data item for the given set of data if the median of the complete data set is 65?
66, 43, 35, 78, 74, 37, 65, 66, 76, 78, 80, 43, 56, 60
A. 71
B. 75
C. 69
D. 50
Answer:
B.) 75
Step-by-step explanation:
Answer: B 75
Step-by-step explanation:
I will give branliest if it let's me! Please help! I'll give 5 star rating, thanks and 40+ points!
Answer:
B
Step-by-step explanation:
These are corresponding angles if i remember correctly.
Answer:
Supplementary
Step-by-step explanation:
The angles add up to 180 degrees
According to the histogram, which interval of time do most students spend on the Internet?
0 - 30 minutes
31 - 60 minutes
61 - 90 minutes
91 - 120 minutes
Answer:
91 - 120 minutes
Step-by-step explanation:
In a histogram, the bar highest suggests the most common, so most students spend 91 - 120 minutes in this histogram.
A school cotains 357 boys and 323 girls if a student is chosen at random, what is the probability that it is a girl
Answer:
[tex]P(G)=0.475[/tex]
Step-by-step explanation:
From the question we are told that:
Number of boys[tex]N_b=357[/tex]
Number of girls [tex]N_g=323[/tex]
Total Number of students
[tex]N_t=N_b+N_g[/tex]
[tex]N_t=680[/tex]
Generally the equation for Probability of Choosing a Girl is mathematically given by
[tex]P(G)=\frac{N_g}{N_t}[/tex]
[tex]P(G)=\frac{323}{680}[/tex]
[tex]P(G)=0.475[/tex]
The graphs of g(x) = x³- ax² + 6 and h(x) = 2x² + bx + 3 touch when x = 1. Therefore, the tangent to
the curve of g at x = 1 is also the tangent to the curve of h at x = 1.
Determine the coordinates of this point of contact of the two graphs.
Answer:
[tex](1,\, 10)[/tex].
Step-by-step explanation:
Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to [tex]x[/tex]. Make use of the power rule to find the following:
[tex]g^\prime(x) = 3\, x^2 - 2\, a\, x[/tex].
[tex]h^\prime(x) = 2\, (2\, x) + b = 4\, x + b[/tex].
The question states that the graphs of [tex]g(x)[/tex] and [tex]h(x)[/tex] touch at [tex]x = 1[/tex], such that [tex]g^\prime(1) = h^\prime(1)[/tex]. Therefore:
[tex]3 - 2\, a = 4 + b[/tex].
On the other hand, since the graph of [tex]g(x)[/tex] and [tex]h(x)[/tex] coincide at [tex]x = 1[/tex], [tex]g(1) = h(1)[/tex] (otherwise, the two graphs would not even touch at that point.) Therefore:
[tex]1 - a + 6 = 2 + b + 3[/tex].
Solve this system of two equations for [tex]a[/tex] and [tex]b[/tex]:
[tex]\begin{aligned}& a + b = 2 \\ & 2\, a + b = -1\end{aligned}[/tex].
Therefore, [tex]a = -3[/tex] whereas [tex]b = 5[/tex].
Substitute these two values back into the expression for [tex]g(x)[/tex] and [tex]h(x)[/tex]:
[tex]g(x) = x^3 + 3\, x^2 + 6[/tex].
[tex]h(x) = 2\, x^2 + 5\, x + 3[/tex].
Evaluate either expression at [tex]x = 1[/tex] to find the [tex]y[/tex]-coordinate of the intersection. For example, [tex]g(1) = 1 + 3 + 6 = 10[/tex]. Similarly, [tex]h(1) = 2 + 5 + 3 = 10[/tex].
Therefore, the intersection of these two graphs would be at [tex](1,\, 10)[/tex].
Given a room is 14 feet by 16 feet and we have a circular rug with a radius of 4.5
feet, calculate the amount of floor left uncovered by the circular area rug in a
rectangular living room. Show all work.
The amount of floor left uncovered by the circular area rug is 160.36 ft².
What is the amount of floor left uncovered by the circular area rug?The first step is to determine the area of the rectangular room.
Area of the rectangular room = length x width
14 x 16 = 224 ft²
The second step is to determine the area of the circular rug.
area of the circular rug = πr²
= 22/7 x 4.5² = 63.64
Now, subtract the area of the rug from the area of the room:
Area left uncovered = 224 ft² - 63.64 = 160.36 ft²
To learn more about the area of a circle, please check: https://brainly.com/question/14351152
What is the domain of y= log 5x
Answer:
all positive real numbers, (0, ∞)
Step-by-step explanation:
The log function is not defined for 0 or for negative numbers.
The domain of the log function is all positive real numbers.
Answer: all positive real numbers
Người ta nuôi cá trong một bể xây mặt bể là hình chữ nhật có chiều dài là 80m chiều rộng 60m. Trên mỗi mét vuông mặt bể người ta thả 12 con cá giống đến mỗi kỳ thu hoạch trung bình mỗi con cân nặng 240g giá bán 32000 đồng/kg và thấy lãi khi qua kỳ thu hoạch này là 200 triệu. Hỏi vốn mua cá giống và chi phí trong đợt này là bao nhiêu?
21. Glass Vase You are taking a glass-blowing class and have created a vase in the
shape of a sphere. The vase will have a hole in the top so you can put flowers in it
and it will sit on a stand. The radius of your vase is 21 inches. Use the formula
= ar to write an expression for the volume of your vase.
V
Answer:
V = 12,348·π
Step-by-step explanation:
The given parameters of the glass Vase are;
The shape of the glass vase = A sphere
The radius of the vase, r = 21 inches
The given formula for finding the volume of a sphere is [tex]V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]
Therefore, when r = 21 inches, we get;
[tex]V = \dfrac{4}{3} \cdot \pi \cdot 21^3 = {12,348 \cdot \pi}[/tex]
Therefore, the expression for finding the equation of the spherical glass vase, V = 12,348·π
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of C'be?
5
00
NO
A
D
1
-7 -6 -5
4
-3
1
2
3
4
-2 -1 0
-1
C' = (1, [?])
-2
Given:
The rule of translation is:
[tex](x+3,y-2)[/tex]
The trapezoid ABCD on the graph.
To find:
The coordinates of the point C'.
Solution:
From the given graph, it is clear that the coordinates of point C are (-2,4).
The rule of translation is:
[tex](x,y)\to (x+3,y-2)[/tex]
Using this rule of translation, we get
[tex]C(-2,4)\to C'(-2+3,4-2)[/tex]
[tex]C(-2,4)\to C'(1,2)[/tex]
Therefore, the coordinates of the point C' are (1,2).
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John had a total of $150. He purchased a DVD box set which costs $50 as well as a single DVD. He is left with $75. Which equation could be used to find the cost p of the DVD?
a. 150 + 50 + p = 75
b. 150 + 50 + 75 = p
c. 150 − 50 + 75 = p
d. 50 + p + 75 = 150
ps: absurd answers will be reported !!
Answer:
please mark as brilliant
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the questions with their solutions. 5 80 6 200 8 150 Joshua has 11 baskets of apples. In total, he has 88 apples. How many apples are there in 1 basket? arrowRight Mindy can type 40 words per minute. How many words can she type in 5 minutes? arrowRight Jessica had 20 balloons, which she distributed among 4 of her friends. How many balloons did each friend get? arrowRight Max can make 1 greeting card in 5 minutes. How many greeting cards can he make in 30 minutes? arrowRight
Answer:
1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6
Step-by-step explanation:
1.)
Number of apple baskets = 11
Total number of apples = 88
Number of apples per basket = 88 / 11 = 8
2).
Number of words per minute = 40
Number of words that can be typed in 5 minutes :
40 * 5 = 200 words
3.)
Number of balloons = 20
Number of friends = 4
Number of balloons per friend = 20/4 = 5
4.)
Time required to make 1 greeting card = 5 minutes
Number of greeting cards that can be made in 30 minutes :
30 minutes / 5 minutes = 6 greeting cards
Which expression is equivalent to 10^-4
Answer:
[tex] \frac{1}{10000} [/tex]Step-by-step explanation:
[tex] {10}^{ - 4} [/tex]
[tex] \frac{1}{ {10}^{4} } [/tex][tex] \frac{1}{10000} [/tex]Hope it is helpful...please please!! help!!
9514 1404 393
Answer:
2
Step-by-step explanation:
Each orange vertex is twice as far from the origin as the corresponding black vertex. Each orange line segment is twice as long as the corresponding black line segment. The scale factor is 2.
What is the value of the expression below?
(+8) +3.545
0 17.
17
7
10
니
18
10
○ 212
0 24를
please type it correctly and i can help Step-by-step explanation:
The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
[tex]C=28.3m[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]d=9m[/tex]
Radius[tex]r=4.5m[/tex]
Generally the equation for Circumference of a circle is mathematically given by
[tex]C=2\pi r\\\\\C=2*\pi*4.5m[/tex]
[tex]C=28.3m[/tex]
Answer:
Step-by-step explanation:
From the question we are told that:
Diameter
Radius
Generally the equation for Circumference of a circle is mathematically given by
Have a good day
Step-by-step explanation:
Parallel to y = 3x − 2 and passes through (1, 4)
Answer:
y=3x + 1
Step-by-step explanation:
slope is same
insert coordinates into x and y values
determine y-intercept
Give reasons.
a.
Mass is a physical quantity.
Please help if can and show work
Answer:
Step-by-step explanation:
A square pyramid has base edges of 4 cm and a slant height of 10 cm, what is its
surface area?
a. 96 cm2
b. 193 cm2
c. 240 cm2
d. 272 cm
Answer:
96 cm 2
Option A is the correct answer
Step-by-step explanation:
Please mark me as Brainliest
Plzz I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
(Spam/same words/diff pics/)
Answer:
Step-by-step explanation:
1)
9:10
+ 0:45
9:55
so at 9:55 she finished her eating.
2)
10:25
- 2:15
8:10
so test started at 8:10
3)
9:15
-7:30
2:15
si games duration was 2;15
4)
2:40
+25
3:05
se reached home at 3:05
The world population in 2000 was approximately 6.08 billion. The annual rate of increase
was about 1.26%
which year will it be when the population reaches 7.5 billion?
Answer:
6
Step-by-step explanation:
Create a SQUARE pyramid that has a base area of 49 mm2 and a volume of 588mm3. Show the volume calculation.
Answer:
sorry
Step-by-step explanation:
hindi ko din alam
What is the solution set of the equation 3x2 = 48 ?
Answer:
Step-by-step explanation:
6=48
- Mariana debe tomar dos pastillas; una cada 6 horas y otra cada 9 horas. Si a cierta hora toma las dos pastillas juntas, ¿después de cuantas horas volverá a tomarlas simultáneamente?
Answer:
Mariana takes the two pills together after 18 hours.
Step-by-step explanation:
Mariana must take two pills; one every 6 hours and another every 9 hours.
She take two pills together. Let she takes the two pills together after t hours at the time when she take initially.
To find the time to take the two pills together, take the least common multiple of 6 and 9.
6 = 2 x 3
9 = 3 x 3
So, the least common multiple is 2 x 3 x 3 = 18
So, she takes the two pills together after 18 hours.
Please help I’ll give brainliest
Answer:
add
Step-by-step explanation:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
Hope this is helpful
Answer:
Add
Step-by-step explanation:
Hope it helps you
Please mark as brainliest
Thank You
PLEASE HELP!!
I'll mark brainliest! Please put it neatly so I can see :)
Answer: you can put it into addition form or multiplication just take the number from that place as the right amount of zeros behind it and you should be good so on 6 it could be 90 or if your suppose to be putting it in multiplication it would be 9x10
Step-by-step explanation:
Answer:
read below
Step-by-step explanation:
decomposed answ:
6. 9*10
7. 4*10
8. 89*10
9. 3*100
10. 7*1000
11. 37*100
decomposition:
12. 56*10
13. 43*100
14. 60*100
the coordinates of three vertices of a rectangle are -2, 3, -2, -1, and 3, -1. what are the coordinates of the fourth vertex
Answer:
(3,-5)
Step-by-step explanation:
We first cal ulate the distance
Find how many kilometers they traveled by
bike.
Enter the correct answer.
George and Carmen went on a bicycle
trip. They took a bus to their starting
point, and then biked the rest. They
traveled 325 kilometers in total, and
they biked 75 kilometers more than they
were bussed.
000
DONE
Clear all
2
Let x = kilometers traveled by bike and
y = kilometers traveled by bus. Find how many kilometers they traveled by bike
Answer:
Step-by-step explanation:
Biking is x and bussing is y. We know that the total distance is 325. Thus, the first equation in this system is
x + y = 325 (which says that the km traveled by bike plus the km traveled by bus totaled 325 km).
We also know that the pair biked 75 km more than they rode, giving us the second equation in our system:
x = y + 75. Now we use simple substitution and plug y + 75 in for x in the first equation:
(y + 75) + y = 325 and
2y + 75 = 325 and
2y = 250 so
y = 125 km. They rode the bus for 125 km and biked for 325 - 125 which is 200. And the difference is 75 km, as it should be!