In a sports club of 150 members, 88 play golf, 63 play bowls, and 45 play golf and bowls. Find the probability that:
a) a member plays golf only.
b) a member doesn't play golf or bowls.
pls explain too if u could. thanks!
Answers
Answer:
a) .287
b) .293
Step-by-step explanation:
The answers are boxed in red in the picture.
First I found how many people only golfed. Then I did the same for the people that only bowled. Next I found how many members didn't golf or bowl.
From there I found the probabilities by dividing
a.) # of members that only golf / total # of members
b.) # of members that don't bowl or golf / total # of members
Related Questions
The points E, F, G and H all lie on the same line segment, in that order, such that the
ratio of EF: FG: GH is equal to 5 : 2:3. If EH = 60, find GH
Answers
Answer:
Hello,
Step-by-step explanation:
ratio of EF: FG: GH is equal to 5 : 2:3.
[tex]\Longrightarrow \dfrac{EF}{5} =\dfrac{FG}{2}=\dfrac{GH}{3}=k\\\\EF=5*k\\FG=2*k\\GH=3*k\\\\\\EH=EF+FG+GH=5k+2k+3k=10k\\\\EH=10k=60 \Longrightarrow k=6\\\Longrightarrow GH=3*k=3*6=18(cm)[/tex]
The length of GH is 18 units.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment EH, where the length of line segment EH refers to the distance between its endpoints, E and H.
Given that the points E, F, G and H all lie on the same line segment
E______________F______________G_____________H
We have to determine GH
We have the ratio of EF: FG: GH is equal to 5 : 2 : 3.
Then EF/5 = FG/2 = GH/3 = c
So EF = 5c, FG = 2c, and GH = 3c
Given that EH = 60,
⇒ EH = EF + FG + GH
⇒ 60 = 5c+ 2c+ 3c
⇒ 10c = 60
⇒ c = 60/10
⇒ c = 6
So GH = 3(6) = 18
Hence, the length of GH is 18 units.
Learn more about the line segment here:
brainly.com/question/25727583
#SPJ2
(X²-3x-1)²-12(x²-3x-1)+27
Answers
Answer:
Step-by-step explanation:
x^4 - 6x^3 -5x^2 +42x +40
Answer:
Step-by-step explanation:
(x²-3x-1)² = (x²)² + (-3x)² + (-1)²+ 2(x²)(-3x)+2*(-3x)(-1)+2*(-1)(x²)
= x^4 +9x² +1 -6x³ +6x -2x²
=x^4 - 6x³ + 9x² -2x² + 6x + 1
=x^4 - 6x³ + 7x² + 6x + 1
(x²-3x-1)²-12(x²-3x-1)+27 = x^4 - 6x³ + 7x² + 6x + 1 - 12x² + 36x + 12 + 27
=x^4 - 6x³ + 7x² - 12x² + 6x +36x + 1 + 12 +27
=x^4 - 6x³ - 5x² + 42x + 40
If the amount of waking time 4 year old children spend with their fathers each day is 42 minutes while the daily waking time spent in daycare is 6 hours, what is the ratio of time with father to time in daycare?
Answers
Answer:
7/60
Step-by-step explanation:
Because the question is phrased such that it asks "the ratio of time with father to....", we know to put the time with father on top, or first. Similarly, since it is asked to put the ratio of time with the father to the time in daycare, we can put the daycare amount second/on the bottom. Therefore, we can write the ratio as
(42 minutes)/(6 hours)
To make both of these in terms of minutes to simplify it, we know that 60 minutes = 1 hour, so 1 hour / 60 minutes =1 . Since multiplying something by 1 keeps it the same, we can multiply our ratio by this amount. We want to multiply with the hour on top so the hours cancel out, as so:
[tex]\frac{42 minutes}{6 hours} * \frac{1 hour}{60 minutes} = \frac{42 minutes * hours}{360 minutes * hours} = \frac{42}{360}[/tex]
To simplify this even further, we can note that 6 is a factor of both 42 and 360*, so we can multiply this fraction by (1/6) / (1/6) to get
(42/360) * (1/6)/(1/6) = 7/60 as our final answer
If this doesn't come up immediately, you can always find the greatest common factor by listing the factors of each number and finding the highest one that fits both, e.g.
for 42: 42, 21, 14, 7 , 6...
for 360: 360,180, ... 6,5....
given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000
Answers
Answer:
hello,
Step-by-step explanation:
[tex]u_1=2=2*3^0\\u_2=6=2*3^1\\u_3=18=2*3^2\\u_4=54=2*3^3\\\\....\\u_n=2*3^{n-1}\geq 100000\\\\3^{n-1}\geq 50000\\\\(n-1)*ln(3)\geq ln(50000)\\\\n-1\geq 9,848586...\\\\n\geq 10.848586....\\\\\boxed{n=11}\\[/tex]
4cosx - 2cos2x - cos4x=1
Answers
Answer:
x = 360°
Answered by GAUTHMATH
#1 with work please
Answers
Answer:
-19
Step-by-step explanation:
5v+3w
Let v = -5 and w=2
5(-5) + 3(2)
Multiply first
-25 + 6
The add
-19
1. Evaljate 5v +3w for v = -5 and w = 2
plug-in
5(-5) +3(2)
-25 +6
Answer: -19
2. Simplify the expression 8(e -1) + 2(e -1)
Distribute
8(e -1) + 2(e -1)
8e -8 + 2e -2
10e -10
Answer: 10e -10
A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.
Amount of Paint and Size of Wall
Area of wall feet squared, x
64
144
400
Amount of paint (pints), y
4
9
25
How much paint should the painter expect to use to paint a wall with an area of 256 square feet?
16 pints
32 pints
128 pints
225 pints
Answers
Answer:
16 pints
Step-by-step explanation:
it seems like there's a pattern. when you divide x by 16, you get the result of y.
64/16 = 4
144/16 = 9
400/16 = 25
so to find the answer would be x/16 = y.
sqrt ft is x, pints is y.
we're looking for how many pints of pain we should use for 256 sqrt ft. we use that same equation, but replace x with 256, and solve for y.
256/16 = 16
therefore, your answer is 16 pints.
please subscribe to #Gauthmath# subreddit if ya can ^^
Answer:
16 pints
Step-by-step explanation:
I did it on edge.
P(x) = x^4 – 2x^3 – 3x^2 + 4
What is the remainder when P(x) is divided by (x – 3)?
Answers
Answer:
4
Step-by-step explanation:
:)
Solve the equation :
-3 • ( 2 - x ) + 4 = 2 • ( 1 - 2x) + 3
thanks :)
Answers
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 1
-6+3x+4=2-4x+3
-8+7x+1=0
7x=7
x=1
Answer:
x=1
Step-by-step explanation:
SEE IMAGE for Solution
The Right Answer Only You will get Reported if its wrong!!!!!
instruction find the measure of the indicated angle to the nearest degree
Answers
Answer:
46
Step-by-step explanation:
I found the angle by taking the opposite side of the angle, 38, and dividing it by the hypotenuse, 53.
Then I used the inverse sine function on 38/53 to get the angle 45.81, which I rounded to 46.
PLS HELP WILL GIVE BRAINLY!!
What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point
Answers
Answer:
Step-by-step explanation:
1 milli liter = 0.135 grams
182.8 ml = 0.135 * 182.8 = 24.678 grams
Answer:
24.678
Step-by-step explanation:
Hope this helps :)
Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____
Answers
Answer:
-2
(0, 1)
Step-by-step explanation:
Giveb the function :
F(x) = 3^x + 1 – 2
To obtain the asymptote, take the limit of f(x) as x as tends to ∞
3^(∞+1) - 2 = 0 - 2
Hence,
y = 0 - 2.
y = - 2
The y intercept, this is the value of y when x = 0
Hence, put x = 0
F(0) = 3^(0 + 1) – 2
f(0) = 3^1 - 2
f(0) = 3 - 2
f(0) = 1
Y - intercept = (0, 1)
Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.
Answers
Answer:
39.4 or 40 % depending on which place you round it to
Step-by-step explanation:
18 * 1.10= 19.8
(19.8 - 12) / 19.8 = 0.39393939...
so 39.4 or 40 % depending on which place you round it to
Please Help.
A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 314 square units, and the area of the cross-section of the cylinder is 50π square units. Based on this information, which argument can be made?
A. The volume of the square prism is one third the volume of the cylinder.
B. The volume of the square prism is half the volume of the cylinder.
C. The volume of the square prism is equal to the volume of the cylinder.
D. The volume of the square prism is twice the volume of the cylinder.
Answers
As we know, The volume of the square prism is twice the volume of the cylinder
To determine the relationship between the volume of the square prism and that of the cylinder, we need to find both volumes.
The volume of the square prism is V = Ah where A is the cross-sectional area and h its height. Since A = 314 square units,
V = 314 × h = 314h
Also, the volume of the cylinder is V = A'h where A' is the cross-sectional area of the cylinder and h' its height. Since the A' = 50π square units,
V' = 50π × h' = 50πh'
The ratio of the volume of the square prism to that of the cylindrical prism is V/V' = 314h/50πh'
Since the height of the square prism equals that of the cylinder, h = h'.
So, V/V' = 314h/50πh .
V/V' = 314/50π
if we take π = 3.14,
V/V' = 314/(50 × 3.14)
V/V' = 100/50
V/V' = 2
So, V = 2V'
Thus, the volume of the square prism is twice the volume of the cylinder.
So, the answer is D.
Learn more about square prisms and cylinders here:
https://brainly.com/question/23245822
Answer:
D. The volume of the square prism is twice the volume of the cylinder.
Step-by-step explanation:
took the test, got it right, comment below if you would like a step by step explanation
Số nghiệm của pt | 2x-3| - | 3x+2|=0 là?
Answers
Answer:
2 solutions
Step-by-step explanat
ion:|2x-3|-|3x-2|=0
<=>|2x-3|=|3x-2|
<=>2x-3=3x-2
Or 2x-3=-3x+2
<=>2x-3x=-2+3
or 2x+3x=2+3
<=>x=-1
Or x=1
Evaluate the expression when x=-6.
x² + 5x-2
Answers
Answer:
Step-by-step explanation:
Hello!
x² + 5x-2
6² + 5*6 -2 =
36 +30 -2 =
66 -2=
64
36-30-2
36-32= 4
Solve the system using multiplication for the linear combination method.
6x – 3y = 3
-2x + 6y = 14
What is the solution to the system?
Answers
-2x+6y=14.
First step is multiply the top equation by 2, so you have
12x-6y=6
-2x+6y=14
-6y and +6y cancel each other out, so if you simplify, you have
10x=20, which is then solved by dividing each side by 10, and getting x=2.
Now plug x=2 into one of the equations (I chose the first)
6(2)-3y=3
12-3y=3
-3y=-9, divide each side by -3 and get y=3.
so your point is (2,3)
Answer:
(2, 3)
Step-by-step explanation:
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?
A.
The graph of h is the graph of g horizontally shifted left 3 units.
B.
The graph of h is the graph of g vertically shifted down 3 units.
C.
The graph of h is the graph of g horizontally shifted right 3 units.
D.
The graph of h is the graph of g vertically shifted up 3 units.
Answers
Answer:
C
Step-by-step explanation:
Given f(x) then f(x + a) is f(x) translated horizontally
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Given that h(x) = g(x - 3) , then
The graph of h(x) is the graph of g(x) horizontally shifted 3 units right
Answer:
C
Step-by-step explanation: I took the test
Help fast pleaseeeeeeee
Answers
Answer:
Multiply 800 by 1.022^7 because 1.022^(n-1)
Step-by-step explanation:
Series and sequences.
A sample of 50 observations is taken from an infinite population. The sampling distribution of : a.is approximately normal because of the central limit theorem. b.cannot be determined. c.is approximately normal because is always approximately normally distributed. d.is approximately normal because the sample size is small in comparison to the population size.
Answers
Answer:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.
Since in our question, the sample of observations is 50, n = 50.
Since 50 > 30, then our sample distribution will be approximately normal because of the central limit theorem.
So, a is the answer.
which equations have a leading coefficient of 3 and a constant term of -2?
Answers
Answer: the answer to this is 3x-2
Step-by-step explanation:
Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
Answers
Answer:
y = -1/3x
Step-by-step explanation:
Find the area of the triangle.
Answers
Answer:
B
Step-by-step explanation:
area=1/2×32×6.1=16×6.1=97.6 yd²
Answer:
Choice B. 97.6 yd^2
Step-by-step explanation:
B×W×.5= A
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
x + a = ¾
Answers
Answer:
x = ¾-a
Step-by-step explanation:
x + a = ¾
Subtract a from each side
x + a -a= ¾-a
x = ¾-a
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]x+a=\dfrac{3}{4}\\\\x=\dfrac{3}{4}-a\\\\x=\dfrac{3-4a}{4}[/tex]
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Câu 1 : Trong các phương trình sau phương trình nào là phương trình bậc nhất một ẩn ;
A/ x-1=x+2 B/(x-1)(x-2)=0 C/ax+b=0 D/ 2x+1=3x+5
Câu 2 : x=-2 là nghiệm của phương trình nào ?
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 3 : x=4 là nghiệm của phương trình
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 4 : Phương trình x+9=9+x có tập nghiệm là :
A/ S=R B/S={9} C/ S= D/ S= {R}
Câu 5 : Cho hai phương trình : x(x-1) (I) và 3x-3=0(II)
A/ (I)tương đương (II) B/ (I) là hệ quả của phương trình (II)
C/ (II) là hệ quả của phương trình (I) D/ Cả ba đều sai
Câu 6: Phương trình : x2 =-4 có nghiệm là :
A/ Một nghiệm x=2 B/ Một nghiệm x=-2
C/ Có hai nghiệm : x=-2; x=2 D/ Vô nghiệm
Answers
Answer:
Can you please answer the question in English so I can understand the English psyche can answer your question please ask this question in English actually I'm Indian so I know only 3 languages steps
what is the point-slope equation of a line with slope-4 that contains the point (-2 7)\
Answers
Answer:
y - 7 = -4 (x + 2)
Step-by-step explanation:
y - 7 = -4 (x + 2)
the cost of a ford is 2/13 of the cost of a rolls Royce. If the current price of a rolls Royce is $211 250, what is the cost of a ford ?
Answers
Explanation: start by dividing 2 by 13 and then multiply that value to 211,250
I need help with this asap pls!!
Answers
Answer:
Answer is b
Step-by-step explanation:
cuh cuh cuh cuh cuh cuh , , , , , ,,
{(3,1),(-2,-1),(-3,2)}
Domain:
Range:
Answers
Answer:
Domain { -3,-2,3}
Range{ -1,1,2}
Step-by-step explanation:
The domain is the input
Domain { -3,-2,3}
The range is the output
Range{ -1,1,2}
s the function represented by the table non-linear?
x
y
6
4
7
2
8
0
9
–2
Answers
Select one:
A. making
B. will make
C. makes
D. made
