1. The number of members who play soccer only is 59.
2. The number of members who play tennis or soccer, but not rugby, is 37.
3. The number of members who play exactly two sports is 20.
4. The number of members who play at least one sport is 195.
5. If 60 members play soccer, then 7 members play tennis.
1. To find the number of members who play soccer only, we need to subtract the members who play soccer and other sports from the total number of soccer players.
Soccer only = Total soccer players - (Soccer and Rugby) - (Soccer and Tennis) + (All three sports)
Soccer only = 68 - 6 - 7 + 4
Soccer only = 59
Therefore, 59 members play soccer only.
2. To find the number of members who play tennis or soccer but not rugby, we need to subtract the members who play all three sports from the total number of tennis and soccer players.
Tennis or Soccer (not rugby) = (Tennis + Soccer) - (All three sports)
Tennis or Soccer (not rugby) = 43 + 68 - 4
Tennis or Soccer (not rugby) = 107
Therefore, 107 members play tennis or soccer but not rugby.
3. To find the number of members who play exactly two sports, we need to add the members who play tennis and soccer (TS), tennis and rugby (TR), and soccer and rugby (RS).
Exactly two sports = TS + TR + RS
Exactly two sports = 7 + 11 + 6
Exactly two sports = 24
Therefore, 24 members play exactly two sports.
4. To find the number of members who play at least one sport, we can add the number of members who play each sport individually (Tennis, Rugby, Soccer) and then subtract the number of members who play none of the sports.
At least one sport = Tennis + Rugby + Soccer - None
At least one sport = 43 + 84 + 68 - 0
At least one sport = 195
Therefore, 195 members play at least one sport.
5. If 60 members play soccer, we can calculate the number of members who play tennis by subtracting the members who play both sports (TS) and the members who play soccer only from the total number of soccer players.
Tennis = Total soccer players - (Soccer only) - (TS)
Tennis = 60 - 59 - 7
Tennis = -6
It is not possible to have a negative number of members playing tennis. Please double-check the provided information or calculations.
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Question 1 of 10 Solve - 5 < 4x + 3 <= 7 x > - 2orx <= 1 B. x < - 2orx < 4 O C.-2 and x <= 1 D. x > 2 and x < 4
For the inequality -5 < 4x + 3 ≤ 7 the combined solution are x < -2 and x ≤ 1.
To solve the inequality -5 < 4x + 3 ≤ 7, we need to consider two separate inequalities:
Solve the inequality -5 < 4x + 3:
-5 < 4x + 3
Subtract 3 from both sides:
-5 - 3 < 4x
-8 < 4x
Divide both sides by 4
-8/4 > x
-2 > x
x < -2.
Now let's solve the inequality 4x + 3 ≤ 7:
4x + 3 ≤ 7
Subtract 3 from both sides:
4x ≤ 7 - 3
4x ≤ 4
Divide both sides by 4:
x ≤ 1
Therefore, the combined solution is x < -2 and x ≤ 1.
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Compute the MIRR statistic for Project J and advise whether to accept or reject the project with the cash flows shown as follows if the
appropriate cost of capital is 10 percent.
Project J
Time
Cash Flow
e
1,000
1
$300
2
$1,480
3
500 $300
Save & Exit
5
100
Submit
To compute the Modified Internal Rate of Return (MIRR) for Project J, we need to calculate the present value of cash inflows and outflows separately and then determine the discount rate that equates the present value of outflows with the future value of inflows.
The cash flows for Project J are as follows:
Time 0: Initial investment: -$1,000
Time 1: Cash inflow: $300
Time 2: Cash inflow: $1,480
Time 3: Cash inflow: $500
Time 5: Cash inflow: $100
First, let's calculate the present value (PV) of outflows (the initial investment):
PV(outflows) = -$1,000 (since it's an outflow at time 0)
Next, let's calculate the future value (FV) of inflows (cash inflows at times 1, 2, 3, and 5):
FV(inflows) = $300 + $1,480 + $500 + $100 = $2,380
Now, we can use the MIRR formula to compute the MIRR statistic:
MIRR = (FV(inflows) / PV(outflows))^(1/n) - 1
Where n is the number of periods (5 in this case).
MIRR = ($2,380 / -$1,000)^(1/5) - 1
MIRR = 1.5189 - 1
MIRR = 0.5189 or 51.89%
Given that the cost of capital is 10 percent, the MIRR is higher than the cost of capital. Therefore, we would advise accepting Project J because the MIRR is greater than the cost of capital, indicating that the project is expected to generate a return higher than the required rate of return.
I need help!!!!!!!!!!!!!!!!!!
p+T+S+S=5+5 it is our answer it is write
The point F( – 3, – 6) is translated 4 units right and 2 units up. What are the coordinates of the resulting point, F
Answer:The answer is (1, -4)
Step-by-step explanation:
Is the following shape a square? How do you know?
D.
2
PREVIOUS
"B
A. There is not enough information to determine
B. Yes, the opposite sides are parallel, and all sides are the same
length.
C. No, because the sides are not congruent
D. No, because opposite sides are not parallel
Answer:
B
Step-by-step explanation:
A square have 4 side that are all the same so its B
The picture of milk shown is a prism. The base has an area of 40 cm² and the height of the pitcher is
26 cm. Will the pitcher hold 1 Liter of milk?
Yes, the pitcher hold 1 Liter of milk.
We have to given that;
The picture of milk is a prism.
And, The base has an area of 40 cm² and the height of the pitcher is 26 cm.
Since, We know that;
Volume of prism is,
V = base area x Height
Now, Substitute all the values, we get;
V = 40 x 26
V = 1040 cm³
Since, 1 liter = 1000 cubic centimeters
Hence, the pitcher hold 1 Liter of milk.
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2+2 how to do first year rough
Anuj made a cuboid of dough of dimensions 5 cm, 5 cm and 3 cm. How many such cuboids will he need to make a perfect cube? What will be the dimensions of the cube?
Answer:
Step-by-step explanation:Anuj made a cuboid of dough of dimensions 5 cm, 5 cm and 3 cm. How many such cuboids will he need to make a perfect cube? What will be the dimensions of the cube?
A jar has dimes and nickels. The number of dimes is four less than seven times the number of nickels. Let n represent the number of nickels. Write an expression for the number of dimes.
Answer:
d = 7n -4
Step-by-step explanation:
d is number of dimes, n is number of nickels.
7 X number of nickels = 7n.
4 less than that is 7n - 4.
so d = 7n -4.
a is a negative odd number.
Choose two words from the list in the box that describe a²
A negative
B positive
Codd
D even
Answer:
positive and odd
Step-by-step explanation:
If a is a negative odd number, then a² can't be negative, because a number squared is always positive.
I'll illustrate this with an example.
Let's choose -7 as an example. Instead of a.
-7² = 49
So we see that the result is positive & odd.
So the words that describe a^2 are positive and odd.
The number 84 can be expressed as the sum of 54 + 30. Which shows how to use the distributive property to rewrite that sum as a multiple of a sum whose addends have no common factors greater than 1?
A. 2(27 + 15)
B. 3(18 + 10)
C. 5(11 + 6)
D. 6(9 + 5)
The answer of the sum is D. 6(9 + 5).
To rewrite the sum 54 + 30 using the distributive property as a multiple of a sum whose addends have no common factors greater than 1, we need to factor out the greatest common factor from both numbers.
The greatest common factor of 54 and 30 is 6. By factoring out 6, we can rewrite the sum as:
54 + 30 = 6 * (9 + 5)
Now, let's examine the options given:
A. 2(27 + 15) does not have a common factor of 6.
B. 3(18 + 10) does not have a common factor of 6.
C. 5(11 + 6) does not have a common factor of 6.
D. 6(9 + 5) is the correct answer because it has a common factor of 6, which is the greatest common factor of 54 and 30.
Therefore, the answer is D. 6(9 + 5).
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can I get some help with finding this volume
Answer: 216 cm³
Step-by-step explanation:
>Break the shape up into 2 separate shapes so we can work with shapes we know (rectangular prisms/ blocks)
>Let's call the bottom left small block, Shape 1
>Let's call the bigger block on right, Shape 2
Volume for rectangular prism = Length x width x height
Shape 1:
length = 4
width = (6-4) =2
height = (12-9) = 3
V = (4)(2)(3) =24
Shape 2:
length= 4
width = 4
height = 12
V= (4)(4)(12)
V=192
Total volume = 24+192 =216 cm³
what are the roots of the equation
Answer:
Step-by-step explanation:
The roots (sometimes also called "zeros") of an equation are the values of for which the equation is satisfied.
Find the missing coordinate in the ordered pair ( -1 , b )
if it is a solution to the equation 5x-3y=10
a -7
b-5
c-4
d 4
e o
.
Answer:
To find the missing coordinate in the ordered pair (-1, b), we can substitute the value of x into the equation 5x-3y=10. This gives us 5(-1)-3y=10. Solving for y, we get -5-3y=10, -3y=15, and y=-5. Therefore, the missing coordinate in the ordered pair (-1, b) is -5. The correct answer is b) -5.
5.
Find the surface area and volume of the
right cylinder. Round your answer to the
nearest hundredth.
22 m
20.4 cm
Step-by-step explanation:
consider the cylinder standing upright.
we have to assume that 20.4 cm is the diameter of the circle.
it is not clear what dimension of the result is needed : cm³ or m³, cm² or m². it is important that we do our calculations always with the same dimension of all operands (don't mix apples and oranges in the same calculation).
the volume of such a cylinder (or any regular 3D object) is
base area × height
for a cylinder the base area is a circle :
pi × r²
r being the radius (half of the diameter).
so, we have
r = 20.4/2 = 10.2 cm
height = 22 m = 2,200 cm (1 m = 100 cm)
volume = pi × (10.2)² × 2200 =
= 719,072.8593... cm³ =
= 0.7190728593... m³
≈ 719,072.86 cm³
≈ 0.72 m³
for the surface of a cylinder we need to imagine to cut the cylinder open with straight cut from the top to the bottom and then put the result flat on the table.
this result is a rectangle.
length = height of the original cylinder.
width = circumference of the original cylinder (and its circular base) = 2 × pi × r
the surface area of the cylinder is then
2 × base circle area (top and bottom) = 2 × pi × r²
plus
the area of that rectangle
length × width = height × 2 × pi × r
that is
height×2×pi×r + 2×pi×r² = 2×pi×r×(height + r)
in our case now
surface area = 2×pi×10.2×(2200 + 10.2) =
= pi×20.4×2210.2 =
= 141,648.3809... cm² =
= 14.16483809... m²
≈ 141,648.38 cm²
≈ 14.16 m²
remember, because
1 m = 100 cm
then
1 m² = 1 m × 1 m = 100 cm × 100 cm = 10,000 cm²
1 m³ = 1 m × 1 m × 1 m = 100 cm × 100 cm × 100 cm =
= 1,000,000 cm³
Bromine-82 has a half-life of about 35 hours.
After 140 hours, how many milliliters of an 80 mL sample will remain?
65 mL
20 mL
10 mL
5 mL
Answer:
[tex]\huge\boxed{\sf 5 \ mL}[/tex]
Step-by-step explanation:
Amount of Br-82 = 80 mL
Half-life = 35 hours
Total time = 140 hours
No. of half lives spent:= Total time / Half-life
= 140 / 35
= 4 half lives
After 1st half life:= 80 / 2
= 40 mL
After 2nd half life:= 40 / 2
= 20 mL
After 3rd half life:= 20 / 2
= 10 mL
After 4th half life:= 10 / 2
= 5 mL[tex]\rule[225]{225}{2}[/tex]
Kathy had of a pepperoni pizza in
her refrigerator. She gave her friend
a slice that was of the original pizza.
How much pizza does Kathy have left?
The answer is she has 7/8 (or seven slices) of the pizza left. Based on the information given, we can calculate that Kathy ate 1/8 (or one slice) of the original pepperoni pizza.
It is important to note that the size of the original pizza is unknown, so we cannot accurately determine the exact amount of pizza Kathy has left in terms of square inches or centimeters.
However, we do know that she has the majority of the pizza remaining, and could potentially have enough for multiple meals or leftovers. Additionally, if Kathy is tracking her caloric intake, she can calculate the number of calories consumed from the slice she ate and adjust her diet accordingly.
Overall, it seems like Kathy has a decent amount of pizza left to enjoy
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the length of arc AB is 6pi and the measure of arc AB=60 degrees. What is the diameter of the circle?
Answer:
36
Step-by-step explanation:
Arc = rad * radius
radius = arc/rad
given, arc = 6π
rad = 60 * π/180 = π/3 rad
radius = 6π / (π/3)
= 6π * 3/π
= 18
Diameter = 2 * radius
= 2*18
= 36
Please help i need help on pre-calc
Answer:
32.5 square units
Step-by-step explanation:
Area of triangle = ½ ab sin C
where a and b are to sides that meet at angle C.
Area of triangle = ½ (13)(10) sin 150
= 32.5 square units.
please see attachment for a visual
find the diameter of the crcle with the gven circmfence . use 3.14
c=31cm
The diameter of the given circle is 9.87 cm.
Given.
Circumference = 31 cm
Now,
Circumference of circle = 2×π×r
r = Radius of Circle
Substitute the value of circumference in the formula,
31 = 2×π×r
31 = 2× 3.14 × r
r = 4.935 cm
Diameter of circle is double the radius of circle,
D = 2r
D = 2(4.935)
D = 9.87 cm
Hence diameter of the circle is 9.87 cm.
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please look at the picture
6x-7y=-10
12x-5=16
2xay=10
-10+16+x=10
10=-10+16+x=6x
6x+10=16x
ay=16x
A lumber company is interested in seeing if the number of board feet per has decreased since moving to a new location of timber. In the past, the company has an average 93 board feet per tree. The company believes that the production has decreased changing locations, a random sample of 25 trees yields mean of 89 with standard deviation of 2.Assuming normality of the data, test the hypothesis at a 10 % level of significance.
There is sufficient evidence to suggest that the mean board feet per tree has decreased since moving to the new location of timber.
According to the information,
Set up the following hypothesis test:
Null hypothesis: The mean board feet per tree is still 93.
Alternative hypothesis: The mean board feet per tree is less than 93.
Here,
We can use a one-sample t-test to test this hypothesis.
The test statistic can be calculated as:
t = (sample mean - hypothesized mean)/(sample standard deviation/square root of sample size)
⇒ t = (89 - 93)/(2/sqrt(25))
⇒ t = -5.00
The degrees of freedom for this test are 24.
Using a t-distribution table,
we can find the critical t-value for a one-tailed test with 24 degrees of freedom and a 10% level of significance.
The critical t-value is -1.317.
Since our calculated t-value (-5.00) is less than the critical t-value (-1.317), we can reject the null hypothesis in favor of the alternative hypothesis.
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Is a triangle with side lengths 21,20 and 29 a right triangle show why or why not .
Step-by-step explanation:
Yes, we can determine whether a triangle is a right triangle or not by using the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.
Let's label the sides of the triangle as follows: side a = 21, side b = 20, and side c = 29 (where c represents the hypotenuse). Now, we can use the Pythagorean Theorem to check whether the triangle is a right triangle or not:
c^2 = a^2 + b^2
Substituting in the given values, we get:
29^2 = 21^2 + 20^2
841 = 441 + 400
841 = 841
As the equation is true, we can conclude that the triangle is a right triangle.
Felipe rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 86 cents for each mile driven. Felipe had to pay $270.79 when he returned the truck. For how many miles did he drive the truck?
Answer:
421.4 miles
Step-by-step explanation:
Numner of miles= ($270.79-$17.95)/86 cents
= $252.84/$0.60
=421.4 miles
¿Cuál es el volumen, en metros cúbicos, de un prisma rectangular con una altura de
17 m, un ancho de 14 m y una longitud de 11 m?
Answer:
V = 2618 cubic meters
Step-by-step explanation:
multiply the three dimensions to obtain volume
(17)(14)(11) = 2618 m3
Hope this helps
A 500g packet of beans costs £1.55. A 125g packet of the same beans costs £0.36. Which packet is better value for money?
Step-by-step explanation:
Find unit cost per gram for each packet....lower unit cost is better value
L 1.55 / 500 g = .0031 L/g
L .36 / 125 g = .0029 L/g <=======best value 125 g packet
y is inversely proportional to the square root of x. y=5 when x=36. find a formula linking x and y.
Answer:
y = 30/√x
Step-by-step explanation:
y = k/√x (where k is a constant).
5 = k/√36
5 = k/6
5 X 6 = k
k = 5 X 6 = 30.
y = 30/√x
the area of a triangle is 16cm^2, if the base of the triangle is two less than its height. find the base and the height
Answer:
The base of the triangle is 4cm and the height is 6cm
What is true about the graph below? Select SIX TRUE statements
Select ALL TRUE statements
A) There are no zeroes
B) There is one zero
C) There are two zeroes
D) The vertex is (1, 14)
E) The vertex is (14, 1)
F) The vertex is (2, 14)
G) The vertex is (14, 2)
H) The axis of symmetry is x = 1
I) The axis of symmetry is x = 2
J) The "a" of the parabola is positive
K) The "a" of the parabola is negative
M) The parabola has a minimum
N) The parabola has a maximum
O) The zeroes are -2 and 6
P) The zeroes are 1 and 6
Q) The zero is 6
R) The zero is 14
Step-by-step explanation:
Remember that, this is quadratic function graph.
Let's analyze fact the graph. We get :
There are two roots/zeroes Two roots are x1 = -2 , x2 = 6Vertex is maximum value of parabola (2,14)Symmetry function is x = 2 (you can show that, x-axis from vertex)"a" parabola indicated negativeThe parabola with "a" negative, thus have maximum value (show that vertex is (2,14))Conclusion :
The true statements are C,F,I,K,N,O (6 statements are shown)
Subject : Mathematics
Level : JHS
Chapter : Quadratic Functions
An arctic ecologist measures the thickness of an ice floe. The thickness is 0.039 m. What is the thickness in centimeters? Write your answer as a decimal.
The thickness of the ice floe is 3.9 centimeters.
Given that an ice floe's thickness is measured by an arctic ecologist. It measures 0.039 m thick.
We need to determine the thickness in centimeters,
Using the concept of unit conversion,
Since there are 100 centimeters in a meters, you must multiply the figure by 100 to convert from meters to centimeters.
The ice floe's thickness is 0.039 m, which may be converted to centimeters as follows:
100 cm/m times 0.039 m equals 3.9 cm.
The ice floe is 3.9 centimeters thick as a result.
Hence the thickness of the ice floe is 3.9 centimeters.
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