Fifty-eight boys were asked if they play football and/or baseball. Thirty-one of them said they do not play baseball. Sixteen of them said they play football. Twenty of them said they do not play baseball or football. Match the following values to their correct places on the two-way table.
Answers
Answer:
5 play Football & Baseball; 22 don't play Football; 11 don't play baseball; 20 don't play either football or baseball. See captures attached. The missing one in your original answer + the one made in Excel.
Step-by-step explanation:
If you fill out the blanks the way explained in the answer, you can prove that the 3 sentences match perfectly. The sum of all of them totals 58.
1. Thirty-one of them said they do not play baseball.
2. Sixteen of them said they play football.
3. Twenty of them said they do not play baseball or football.
By the way, as I mentioned before, I also attached the missing image in your original question.
Have a great day!
Answer:
Here is the answer.
Related Questions
In the figure above, Angle FEB is a central angle. True or False?
A. True
B. False
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A central angle is formed at the center of the circle (C).
We know that the central angle is an angle subtended at the center of the circle by any two points on the circle.
In the given figure of the circle, the center of the circle is C. Hence, the central angle must be subtended at the center C.
Since, angle FEB is not subtended at the center of the circle.
Hence, angle FEB is not a central angle.
Therefore, the given statement is FALSE.
Can derivatives be used to measure the the slope of the tangent line at x=a
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For example, picture the graph of the following function:
[tex]f(x) = x^2[/tex]
The slope is constantly changing at every x-value, so to find the slope at x=a, we find the derivative of the function.
[tex]f'(x)=2x[/tex]
Once we have the derivative, simply plug in a for x to find the slope of the line tangent to f(x) at x=a.
For example, at x=5:
[tex]f'(5)=2(5)[/tex]
The slope of f(x) at x=5 is 10.
The perimeter of the rectangle below is 90 units. find the length of side vy . write your answer without variables.
Answers
we know that
perimeter of a rectangle=2*[base+height]
base=3y+1
height=2y+3
perimeter=90 units
so
90=2*[(3y+1)+(2y+3)]-----> 90=2*[5y+4]----> 10y+8=90----> y=8.2 units
base=3y+1-----> base=3*8.2+1-----> 25.6 units
height=2y+3----> height= 2*8.2+3---> 19.4 units
the answer is
the length of side vy is (2y+3)-----> 19.4 units
the length of side VY is equal to the height, which is 19.4 units. The formula for the perimeter of a rectangle is given as `2 * (base + height)`.
It's correctly stated that the base of the rectangle is `3y + 1`, and the height is `2y + 3`. The perimeter is given as `90 units`.
To find the dimensions, we set up an equation using the formula for the perimeter:
90 = 2 * [(3y + 1) + (2y + 3)]
This equation represents that the perimeter is equal to twice the sum of the base and height.
The equation is then simplified:
90 = 2 * [5y + 4]
By dividing both sides by 2, it becomes:
5y + 4 = 45
Solving for y:
5y = 45 - 4
5y = 41
y = 41 / 5
y = 8.2 units
So, the value of y is correctly determined as 8.2 units.
With the value of y known, the base and height expressions are evaluated:
Base: `3y + 1 = 3 * 8.2 + 1 = 24.6 + 1 = 25.6 units`
Height: `2y + 3 = 2 * 8.2 + 3 = 16.4 + 3 = 19.4 units`
The dimensions of the rectangle are correctly calculated as follows:
Base: 25.6 units
Height: 19.4 units
It's also mentioned that the length of side VY is equal to the height, which is 19.4 units.
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A triangle has sides with lengths: 6, 9, and 5. How do you find the area of the triangle using Heron's formula?
Answers
a=6
b=9
c=5
s=(a+b+c)/2
s=(6+9+5)/2
s=10
Δ=√10(10-6)(10-9)(10-5)
Δ=10√2 sq. units
OR
Δ=14.14 sq. units
Write an equation in intercept form of the parabola that passes through the point (1,32) and has x-intercepts −7 and 3?
Answers
thus the equation will be as follows:
y=a(x-k)(x-h)
where:
(x-k) and (x-h) are the factors:
thus
y=a(x+7)(x-3)
y=a(x^2+4x-21)
But, when x=1, y=32
plugging this in the equation we get:
32=a(1^2+4(1)-21)
32=a(1+4-21)
32=-16a
hence:
a=-2
thus the eqiation will be:
y=-2(x^2+4x-21)
hence the equation is:
y=-2x^2-8x+42
The correct equation of the parabola in intercept form is [tex]2 (x+2)^2 -50[/tex].
To derive this equation, we will use the fact that the parabola passes through the given point (1,32) and has x-intercepts at -7 and 3.
[tex]y = k*(x+7)(x-3)[/tex]
[tex]y = k *(x^2 + 4x - 21)[/tex]
[tex]32 = k ( 8 * -2)32 = -16* kk = 32/-16 = -2[/tex]
[tex]y = -2(x+7)(x-3)[/tex]
[tex]= -2(x^2 + 4x - 21)[/tex]
[tex]= -2(x^2 +4x ) -42[/tex]
[tex]= 2(x^2 + 4x + 4) - 42 - 8[/tex]
[tex]= 2 (x+2)^2 -50[/tex]
What are the period and amplitude of the function?
A) period 3, amplitude 1.5
B) period 3, amplitude 3
C) period 4, amplitude 1.5
D) period 4, amplitude 3
Answers
Answer:
Option: A is the correct answer.
A) Period: 3 , amplitude : 1.5
Step-by-step explanation:
We know that Period of a function is the smallest value such that the function repeats after a fixed time.
and also the amplitude of the function is the height above or below the mid-line.
After looking at the graph we see that the period of the function is: 3
Since the function is repeating itself after every x=3.
Also, the mid-line of the function is: y= -0.5.
Hence, the height above the mid-line is: 1+0.5 = 1.5
Hence, amplitude= 1.5
Find the missing values given that cos(theta) = 1.
Sin(Theta):
Csc(Theta)
Sec(Theta):
Cot(Theta):
Answers
cos(theta) = 1---------> the value of cos is positive
then
angle theta------> could be in the first or fourth quadrant
Part 1) find sin theta
sin² theta+cos² theta=1------> sin² theta=1-cos² theta----> 1-1²----> 0
sin theta=0
Part 2) find csc theta
csc theta=1/sin theta
but sin theta =0
therefore
csc theta-------> it does not exist, it is not defined
Part 3) find sec theta
sec theta=1/cos theta
cos theta=1
so sec theta=1/1----> sec theta=1
Part 4) find cot theta
cot theta=cos theta/sin theta
but sin theta=0
therefore
cot theta-------> it does not exist, it is not defined
Rebecca is planting an orange grove that covers 32 acres she uses the same amount of ground space for each tree Rebecca plants 15 trees in a section of the grove that measures 250 feet by 25 feet what is the population density of this section of the grove use 1 acre= 43,560 square feet
Answers
Area=250×25=6250 ft²
but 1 acre= 43560 ft²
thus converting our area to acres we get:
6250/(43560)
=0.1435 acres
thus the population density will be:
(Population)/(area)
=15/0.1435
=104.544 trees/acre
The larger square garden at Volterra Hall has sides twice as long as the smaller square garden. Together the gardens cover 18,000 square feet. Find the dimensions of each garden.
Answers
[tex] G_{1}[/tex]: The larger square garden.
[tex] G_{2}[/tex]: The smaller square garden.
Given that both of then have square areas, then:
[tex] A_{G1} = L_{G1}^{2} [/tex]
[tex] A_{G2} = L_{G2}^{2} [/tex]
Being [tex] L_{G1} [/tex] the side of the larger garden and [tex] L_{G2} [/tex] the side of the smaller garden as shown in the figure.
The larger square garden at Volterra Hall has sides twice as long as the smaller square garden, thus:
[tex] L_{G1} = 2L_{G2}[/tex]
Together the gardens cover 18,000 square feet, so:
[tex]A_{G1} + A_{G2} = L_{G1}^{2} + L_{G2}^{2} = 18000[/tex]
Then:
[tex](2L_{G2})^{2} + L_{G2}^{2} = 18000[/tex]
[tex]4L_{G2}^{2} + L_{G2}^{2} = 18000[/tex]
[tex]5L_{G2}^{2} = 18000[/tex]
[tex]L_{G2}^{2} = 3600[/tex]
[tex]L_{G2} = \sqrt{3600}[/tex]
[tex]L_{G2} = 60[/tex]
[tex]L_{G1} = 2L_{G2} = 2(60) = 120[/tex]
Therefore:
Each side of the larger square garden is [tex] 120 ft [/tex] and each side of the smaller one is [tex] 60 ft[/tex] each. These are the dimensions.
The base of a triangular prism is a right triangle with hypotenuse 10 m long and one leg 6 M. If the height of the prism is 12 M, what is the volume of the prism
Answers
Use a^2 + b^2 = c^2
Then find the volume.
Step One
a^2 + b^2 = c^2
c = 10
b = 6
Find a
a^2 + b^2 = c^2
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 100 - 36
a^2 = 64
a = sqrt(64)
a = 8
Step Two
Find the volume
a = 8
b = 6
h = 12
V = 1/2 * a * b * h
V = 1/2 * 8 * 6 * 12
V = 288 m^3 <<<<<<< answer
Aaron took three times as many pictures as jennifer.jennifer has 16 fewer pictures than aaron.which system of equations can be used to find the number of oictures each person took?
Answers
J=Jennifer
a=3j
j=a-16
9) If the circle x2 - 4x + y2 + 2y = 4 is translated 3 units to the right and 1 unit down, what is the center of the circle?
Answers
_____________
how do you evaluate 71 - b, if b is 27
Answers
If you take 5 quizzes and get scores of 95%, 95%, 80%, 85%, and 75%, how would you find your mean quiz score?
Answers
The mean of the quiz scores is given by the equation M = 86 %
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the quizzes be represented as M
Now , the equation will be
Let the number of quizzes be n = 5
Let the scores of each quizzes be represented by set A
Set A = { 95% , 95%, 80%, 85%, 75% }
So , the mean of the quizzes M = sum of the quizzes / number of quizzes
Substituting the values in the equation , we get
The mean of the quizzes M = ( 95% + 95% + 80% + 85% + 75% ) / 5
The mean of the quizzes M = ( 430/5 )
The mean of the quizzes M = 86 %
Therefore , the value of M is 86 %
Hence , the mean of the quizzes is 86 %
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Find the volume of a cube that is 7 cm on each edge.
Answers
V=a^3
our a=7
V=343 cm^3
Final answer:
The volume of a cube with each edge measuring 7 cm is calculated using the formula V = s^3, which results in a volume of 343 cubic centimeters (cm3).
Explanation:
To find the volume of a cube that is 7 cm on each edge, we use the formula for the volume of a cube, which is V = s3, where s is the length of one side of the cube. In this case, s is 7 cm. Therefore, the volume can be calculated as follows:
V = 7 cm imes 7 cm imes 7 cm = 343 cm3
So the volume of the cube is 343 cubic centimeters (cm3).
A gas station sells regular gas for $2.20 per gallon and premium gas for $3.00 a gallon. at the end of a business day 300 gallons of gas has been sold, and receipts totaled $700. how many gallons of each type of gas had been sold
Answers
1st: 2.20r + 3p = 700 is showing how to get the total cost.
2nd: r + p = 300 shows how many gallons were sold.
If we solve r + p = 300 for r, we can then solve the first equation in terms of r only.
r + p =300
p = 300 - r Use this in place of p in the first equation.
2.20r + 3p = 700
2.2r + 3(300 - r) = 700
2.2r + 900 - 3r = 700
-900 -900
2.2r - 3r = -200
-0.8r = -200
-0.8 -0.8
r = 250 gallons
There were 250 regular gallons sold and 50 premium gallons sold (300 - 250).
Determine whether quantities vary directly or inversely and find the constant of variation. It takes four identical water pumps 6 hours to fill a pool. How long would it take three of these same pumps to fill the pool, assuming they all pump at the same rate?
Answers
Let the number of water pumps be n and the time taken to fill the pool is t.
Now, we can see that higher the number of water pumps, lesser the time to fill the pool.
It means quantities vary indirectly.
Thus, [tex]n=\frac{k}{t} , \text{ where k is the constant of variation}[/tex]
Now, we have been given that It takes four identical water pumps 6 hours to fill a pool.
Thus, we have
[tex]4=\frac{k}{6} \\ \\ k=24[/tex]
Hence, constant of variation is 24.
Now, we have to find the time that three pumps will take to fill the same pool.
[tex]3=\frac{24}{t} \\ \\ 3y=24\\ \\ y=\frac{24}{3} \\ \\ y=8[/tex]
Hence, it will take 8 hours to fill the pool by three identical pumps.
Which one is it? Will give brainiest
Answers
180° - 180° + 34° + 103°
34° + 103°
137°
~C
divide (x^3-20x+16)divide (x-4)
Answers
here is your answer
mark it as brainliest if it is helpful to you......
I NEED HELP ON THIS EQUATION PLEASE (:
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45 = Length x 10
Length = 45 ÷ 10 = 4.5 in
Answer: 4.5 in
A cylinder has a radius of 10m and a 8m. What is the exact volume of the cylinder?
160 TT m3
80 TT m3
800 TT m3
18 TT m3
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Solve 5x = 10x - 5(2x-3) for x. Show your work.
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Eliminate parentheses using the distributive property.
... 5x = 10x -10x +15
Collect terms, then divide by the coefficient of x.
... 5x = 15
... x = 3
!!!!!!!!!!!!!which answe
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Answer:
When we toss a coin we have 50% of probability to get a tail and 50% probability to get heads.
If we toss the coin 8 times, in order to find P(T=6), we need to use the binomial distribution:
[tex]P = \frac{n!}{k!(n-k)!} p^{k} (1-p)^{n-k} [/tex]
where:
n = total number of events
k = number of successes we want
p = probability of success
Therefore:
[tex]P(T=6) = \frac{8!}{6!(2)!} 0.5^{6} (1-0.5)^{2} [/tex]
= 28 · 0.015625 · 0.25
= 0.109375
Hence, the probability of getting 6 tails out of 8 tosses is D) 10.94%.
Answer:
I think it's D
Step-by-step explanation:
Mrs. rifkin had 84 oranges. 24 of her oranges were rotten; the rest were either ripe or unripe. there were 18 more ripe oranges than unripe oranges. find the ratio of the number of ripe oranges to the number of rotten oranges to the number of unripe oranges.
Answers
There were 39 ripe oranges
There were 24 rotten oranges
and there were 21 unripe oranges
for a total of 84 oranges.
Anyone know this geometry question?
Answers
Solve for m -20+14m=10m+16
Answers
-10m. -10m
-20+4m=16
+20. +20
4m=36
/4. /4
m=9
What is the vertex of the absolute value function defined by f (x) = |x - 7| + 1?
A. (7,1)
B. (-7, -1)
C. (-7, 1)
D. (7, -1)
Answers
We have: f(x) = |x - 7| + 1
shift the graph of the function y = |x| 7 units right and 1 unit up. Then the vertex of function f is (7; 1).
Your answer is A. (7; 1)
Look at the picture.
The coach attempts to determine an association between shirt size and hat size. Which is most likely true?
Answers
Answer:
There is likely an association because 0.8 is not similar to ≈ 0.33.
Please help with geometry
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[tex]a=503ft=\dfrac{503}{3}yd\approx168yd\\\\b=516ft=\dfrac{516}{3}yd=172yd\\\\\sin38^o\approx0.616[/tex]
Substitute:
[tex]A_\Delta=\dfrac{1}{2}\cdot168\cdot172\cdot0.616\approx8,877yd^2[/tex]
PLEASE HELP ME FIND THE VALUE OF X
25 POINTS
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Pythagorean theorem:
c^2 = a^2 + b^2
a = 6 and c =√117
to find b:
b^2 = c^2 - a^2
b^2 = (√117)^2 - 6^2
b^2 = 117 - 36
b^2 = 81
b = √81
b = 9
answer:
x = 9 cm
Answer:
the answer is x = 9 cm
Step-by-step explanation: