Answer:
a) 0.9125
b) 0.756
c) 0.314
Step-by-step explanation:
The save percentage of Goalie A = 0.92
The save percentage of Goalie B = 0.89
The percentage of the games Goalie A plays = 75 percent
The percentage of the games Goalie B plays = 25 percent
a) The probability that a save has been made by either Goalie A or Goalie B
Therefore we get;
The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69
The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225
For mutually exclusive events, we have;
P(A) or P(B) = P(A) + P(B)
∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125
The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125
b) Where there are 10,000 attempts, made evenly in all games, we have;
The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500
The number of saves Goalie A makes = 0.92 × 7,500 = 6,900
The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000
The number of saves for 10,000 attempt = 9,125
∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756
c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;
P(Goal B) = 2,500 - 2,500 × 0.89 = 275
The number of goals let in by Goalie A, we have;
P(Goal A) = 7,500 - 7,500 × 0.92 = 600
Therefore, the total number of goals let in = 300 + 275 = 875
The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.
Use the following diagram to find the sum of angle A and angle C.
A. 45 degrees
B. 90 degrees
C. 115 degrees
D. 180 degrees
E. 270 degrees
Answer:
[tex]a + c = 180 - 65 = 115[/tex]
0.16x^2-49, factor using special products
Answer:
(.4x+7)(.4x-7)
Step-by-step explanation:
If f(x) = 3x^2 + 4 and g(x) = 2x - 1, what is f(g (x))?
A) 12x^2 - 12x + 7
B) 3x^2 + 2x + 3
C) 12x^2 - 4x + 5
D) 36x^2 - 36x + 9
Answer:
c just did it
Step-by-step explanation:
Which is bigger 1/7 or 0.14
Answer:
Both are equal
Step-by-step explanation:
please mark me brainliest
Answer:1/7
Step-by-step explanation:
PLEASE HELP PLEASE HELP
Answer:
B) 24
Step-by-step explanation:
The area of the rectangle is 48 units (8 x 6).
The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.
b = base
h = height
A = [tex]\frac{1}{2}[/tex](6)(8)
A = 24
Answer:
[tex]24[/tex]
Step-by-step explanation:
If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.
Find each sum. (3n2 – 5n + 6) + (–8n2 – 3n – 2) = –11n2 – 8n – 4 –11n2 – 2n + 4 –5n2 – 8n + 4 –5n2 – 2n – 4
Answer:
-5n² - 8n + 4
Step-by-step explanation:
Given the expression
(3n²– 5n + 6) + (–8n²– 3n – 2)
Expand the bracket
3n²– 5n + 6 –8n²– 3n – 2
Collect the like terms
3n²-8n²-5n– 3n – 2+6
-5n² - 8n + 4
This gives the required result
C: -5n^2 - 8n + 4
The answer to the second question is 4, 11, and 5.
Which expression is not a trinomial?
A. x^4+x-2
B. 3x^3 +3^3
C. 2x^3 + x^2 - 4x - 2x^3 +1
D. x^2+x+1
Answer:
Option D.
Its a Polynomial or Binomial of index 2
Curtis mowed 9 of the yard's 25 grassy patches. Use a proportion to show how many grassy patches he would probably mow out of 60 total.
Answer:
22 yards
Step-by-step explanation:
9/25 = x/60
cross-multiply:
25x = 540
x = 21.6
Help pls!!!!!!!!!!!!!!
Answer:
46°
Step-by-step explanation:
tan Ф = 21/20
Ф = tan-1 (21/20)
= 46°
Plant A is 14 inches tall and growing at a rate of 0.5 (½) inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height?
Answer:
They will both have a height of 16 inches in 4 days.
Step-by-step explanation:
Hope this helps :D
help me plsssss whoever answers correctly gets brainliest:)
Answer:
0.6 meters² or 0.6 square meters (basically the same thing but written differently)
Step-by-step explanation:
2.4 x 0.5 = 1.2
1.2/2 = 0.6
write 3.402 as a fraction.
Answer:
that as a fraction is 3 and 201 over 500
Answer:
3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction
Step-by-step explanation:
DONT SKIP . URGENT WILL GIVE BRAINLIEST.
Question 8 of 10
What is the distance between points D and E?
6
4
3
2
D(42)
!
S4 3 2
-1
-1
3 4 5
E (42)
- یہ دن من
4
-5
O A. 5 units
OB. 4 units
O C. 2 units
O D. 6 units
B. 4 units
To find this you add 2 and -2 as if -2 was positive. Since the x-axis is the same,4, you don't have to do anything.
What is 9 x 7 squared
Answer: 441
Step-by-step explanation:
Solve for v.
6v – 4v – 3 = 9
V =
= [?]
Answer: v=6
Step-by-step explanation:
Answer:
6 it's because I did this stuff in 6th grade.
Step-by-step explanation:
2 x ? -3=9. 2 x 6 - 3 = 9
AB is parallel to ED.
ACD and BCE are straight lines.
AB = 8 cm
AC = 4.8cm
BC = 6.4cm
ED = 20 cm
Work out the length of BE.
Answer:
BE = 22.4 cm
Step-by-step explanation:
Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CE}[/tex] = [tex]\frac{AB}{DE}[/tex] , substitute values
[tex]\frac{6.4}{CE}[/tex] = [tex]\frac{8}{20}[/tex] ( cross- multiply )
8 CE = 128 ( divide both sides by 8 )
CE = 16 cm
Then
BE = BC + CE = 6.4 + 16 = 22.4 cm
HELP PLEASEEE!!! Which technique is most appropriate to use to solve each equation?
Answer: (x+4)(x-9)=0 is zero product property, you're correct on the second one
Step-by-step explanation:
what is 2/3 of 1/4 THANKS!
Answer:
1/6
Step-by-step explanation:
[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]
Answer:
1/6
Step-by-step explanation:
(2/3)(1/4)=2/12=1/6
The diagram shows a solid triangular prism. Height 6cm width 4cm length 10cm the prism is made from wood with a density of 0.8 g/cm3 work out the mass of this prism
Answer:
Step-by-step explanation:
The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
What is the volume of a prism?The volume of a prism is the total space occupied by it.
What is the density of a prism?The density of a prism is the mass occupied by the 1 cubic unit volume of the prism. The formula for the density of a prism is:
Density = Mass/Volume
How do we solve the given question?In the question, we are given a triangular prism of height 6cm, width 4cm, and length 10cm. Its density is given as 0.8 g/cm³.
We first find the volume of the prism.
The volume = Area of triangle*length = ((1/2)*6*4)*10 cm³ = 120 cm³.
Let the mass of the prism be m grams.
We know the density of the prism is given by the formula,
Density = Mass/Volume
or, 0.8 = m/120
or, m = 120*0.8
or, m = 96
∴ The mass of the given triangular prism with a density of 0.8 g/cm³ is 96 grams.
Learn more about density at
https://brainly.com/question/1354972
#SPJ2
1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?
Answer:
10 guests
Step-by-step explanation:
Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.
Let us represent additional guests = g
Lazer Zone charges $50 for parties, and an additional $10 per guest.
=$50 + $10 × g
50 + 10g
For fun place
Fun Palace charges $90 for parties, and an additional $6 per guest.
= $90 + $6 × g
90 + 6g
For how many ?
We equate both Equations together
= 50 + 10g = 90 + 6g
Collect like terms
10g - 6g = 90 - 50
4g = 40
g = 40/4
g = 10
Hence, g = 10 guests
Therefore, the number of guests for which the cost of both companies is the same is 10 guests
7. The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877. Use an inverse matrix to determine the number of each type of ticket sold .
Answer:
The total number of child ticket sold = 87
The total number of adult ticket sold = 128
Step-by-step explanation:
Given - The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.
To find - Use an inverse matrix to determine the number of each type of ticket sold .
Proof -
Let the total number of child ticket sold = x
Let the total number of adult ticket sold = y
Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.
⇒x + y = 215
Also,
Given that, Tickets cost $11 child and $15 per adult, bringing in a total of $2877
⇒11x + 15y = 2877
So,
The equations becomes
x + y = 215
11x + 15y = 2877
So,
The matrix form becomes
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]
By comparing, we get
x = 87
y = 128
So, we get
The total number of child ticket sold = x = 87
The total number of adult ticket sold = y = 128
The sum of 5 and y is greater than or equal to 7
Answer:
5 + y ≥ 7
Step-by-step explanation:
"The sum of 5 and y"
The sum of two items will be the two items added, and in this case, it is 5 and y, or
5 + y.
"Greater than or equal to 7"
Here, use the symbol, ≥, and 7.
≥ 7
Combine those to get the final equation:
5 + y ≥ 7.
True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)
Answer:
Hello! Your answer is, True
Step-by-step explanation:
Hope I helped! Ask me anything if you have any questions! Brainiest plz! Hope you make an 100% and have a wonderful day! -Amelia♥
Tim asked 128 people whether or not they eat a healthy diet and whether they get regular exercise. The result of Tim's survey are shown in the Venn diagram below. One number is missing from the diagram.
You are reading an article in your school newspaper
please help!!
show work(factoring)
u^4 - 3u^2 - 4
If a circle has a circumference of 43.96 units, what is the approximate area of the circle? (Use 3.14 as an
approximation of pi.)
Answer:
If we were to use 3.14 as pi . . .
43.96/3.14 = 14
14/2 = 7
7 x 7 = 49
49 x 3.14 = 153.86
153.86 would be the correct answer
But if we were to use pi. . .
615.1279985 would be the answer.
Answer:154 rounded to whole number
Step-by-step explanation:
C=pi ×d
43.96 = 3.14 ×d
d= 43.96÷3.14
d= 14
So radius is 7 (half of diameter)
Area=3.14×7×7
=153.86
Can someone help me please
Answer:
its A
Step-by-step explanation:
it is a because its -9 down and 7 to the right
PLEASE hello please help i’ll give brainliest
Answer:
A
Step-by-step explanation:
First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9
Which function describes the graph below?
Answer:
Step-by-step explanation:
There are no pics
FOLLOW ME ON TWITCH 1mr46n0ob1