The greatest number of teams the director could make is 4, and there will be 3 girls on each team.
Since the director wants to make teams with an equal number of boys and girls, the number of teams must be a factor of both 16 and 12. The common factors of 16 and 12 are 1, 2, 4, and 8. Since the director wants to make as many teams as possible, the greatest number of teams is 4.
Each team will have 4 boys and 3 girls, so the total number of girls needed is 4 x 3 = 12. Since there are 12 girls in the camp, there will be 12/4 = 3 girls on each team. Therefore, the greatest number of teams the director could make is 4, and there will be 3 girls on each team.
For more questions like Teams click the link below:
https://brainly.com/question/10750297
#SPJ11
What is the probability of the spinner below landing on blue and rolling an even number on a 6-sided die?
Show work! If it’s correct I will give brainliest
Answer:
1/6
Step-by-step explanation:
There is a 1/3 chance that you will get either a blue, red or green.
It is also a 1/2 chance that you will get an even number on a die.
1/3x1/2=1/6.
Therefore our answer is 1/6
What is the area of the figure below
10cm
Answer:
A= 100 + 20π. or 162.832
Step-by-step explanation:
you first need to find the radius of the half circles with would be half of 10
so r = 5
and the circumstance equation is
c = 2πr
c = 2π(5)
c=10π
but circumference is calculating for a whole circle and you have 4 half circles. 4 half circles make 2 full circles.
2(10π)= 20π
now find the area of the square
10 × 10 = 100
put them together
100 + 20π
A couple plans to have three children. There are eight possible arrangements of girls and boys. For example, GGB means the first two children are girls and the third child is a boy. All eight arrangements are (approximately) equally likely.
Write down all eight arrangements of the sexes of three children
Based on the eight arrangements, what is the probability of any one of these arrangements?
Answer:
GGB
GGG
GBB
GBG
BGG
BGB
BBG
BBB
Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%
Step-by-step explanation:
GGB
GGG
GBB
GBG
BGG
BGB
BBG
BBB
Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%
Jeremy makes 3 out of every 5 basketball shots he attempts. If he shoots the ball 65 times, how many shots can Jeremy expect to make?
Step-by-step explanation:
65 * (3/5) = 39
Jeremy can expect to make 39 shots.
Jacque is using a soup can for a school project and wants to paint it. If the can is 11 cm tall and has a diameter of 9 cm, at least how many square centimeters of paint is needed? Approximate using π = 3.14.
The amount of paint needed to paint a soup can = 438.03 cm²
The correct answer is an option (D)
We know that the formula for the surface area of the cylinder is :
A = 2πrh + 2πr²
Here, the diameter of the can is 9 sm
So, the radius of the can would be,
⇒ r = d/2
⇒ r = 9/2
⇒ r = 4.5 cm
And the height of the can is h = 11 cm
Since the can is cylindrical, we use above formula of surface area of the cylinder to find the amount of paint needed.
Using above formula,
⇒ A = 2πrh + 2πr²
⇒ A = (2 × π × 4.5 × 11) + (2 × π × (4.5)²)
⇒ A = 311.02 + 127.01
⇒ A = 438.03 cm²
This is the required amount of paint needed to paint a soup can.
Therefore, the correct answer is an option (D)
Learn more about the surface area of the cylinder here:
brainly.com/question/31178158
#SPJ1
8.7 consider the situation described in exercise 8.6. how should the constant a be chosen to minimize the variance of θˆ3 if θˆ 1 and θˆ2 are not independent but are such that cov(θˆ 1, θˆ2)
The constant a should be chosen in such a way that cov(θˆ1, θˆ2) is minimized to reduce the variance of θˆ3.
In statistics, the variance of a linear combination of random variables can be affected by the covariance between those variables. In this case, we have θˆ1 and θˆ2, which are not independent but are related by their covariance, cov(θˆ1, θˆ2).
To minimize the variance of θˆ3, we need to minimize the covariance term cov(θˆ1, θˆ2). The covariance measures the extent to which θˆ1 and θˆ2 vary together, and it can be positive, negative, or zero.
To minimize cov(θˆ1, θˆ2), we should choose the constant a in a way that reduces the dependence or relationship between θˆ1 and θˆ2. This can be achieved by selecting a value of a that makes the covariance as close to zero as possible. By doing so, the contribution of the covariance term to the variance of θˆ3 will be minimized.
Therefore, the constant a should be chosen to minimize the covariance between θˆ1 and θˆ2, thus reducing the variance of θˆ3.
Learn more about Variance
brainly.com/question/31432390
brainly.com/question/14116780
#SPJ11
-3-6v=-3(1-4y) + 2v
Answer:
v = 3y/2
y = 2v/3
Step-by-step explanation:
I need this to be solved please and thank you
Answer:
30
Step-by-step explanation:
Area of a triangle = (base length × height)/2
Given base length = 5 and given height = 12
So area = (5×12)/2
==> multiply 12 and 5
Area = (60)/2
==> divide 60 by 2
Area = 30
Step-by-step explanation:
please mark me as brainlest
Help me out please???
why is it not recommended to scuba dive in the morning and fly home the same afternoon ?
Select the parent function and its graph.
Answer:
The first one
Step-by-step explanation:
Answer:
first function, second graph
Step-by-step explanation:
got it right in plato :DDD
Josiah plants vegetable seeds in rows. Each row has the same number of seeds in it. He plants more than one row of seeds. What could be the total number of seeds he plants?
The total number of seeds that Josiah would plant would be = nR×S
How to determine the total number of seeds that Josiah will plant?To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.
Let each row be represented as = nR
Where n represents the number of rows planted by him.
Let the seed be represented as = S
The total number of seeds he planted = nR×S
Therefore, the total number of seeds that was planted Josiah would be = nR×S.
Learn more about multiplication here:
https://brainly.com/question/30340107
#SPJ1
Line ET is tangent to circle A at T, and the measure of arc TG is 46. What is the measure ofO 136O 44O 90OO 67
Line ET is tangent to circle A at T, and the measure of arc TG is 46 and the measure of O is 67°.
Tangents to circles are lines that cross the circle at a single point. Point of tangency refers to the location where a tangent and a circle converge. The circle's radius, where the tangent crosses it, is perpendicular to the tangent. Any curved form can be considered a tangent. Tangent has an equation since it is a line. A line that touches a circle just once is said to be tangent to it. A point tangent to circle can only have one tangent. The intersection of the tangent and the circle is known as the point of tangency.
Now, \(\angle {TEG} =\)180-90-23=67°
as line TE is tangent to circle and it is perpendicular to line NT.
Learn more about tangent to circle
brainly.com/question/23265136
#SPJ4
Becky made a box in the shape of the triangular prism shown. If she were to wrap this box, how many square inches of wrapping paper would she need? Select one: O 225 square inches O 240 square inches O 156 square inches O 216 square inches
Answer:
216 square inches
Explanation:
To find out how many square inches of wrapping paper she would need, calculate the total surface area of the triangular prism.
The triangular prism has five faces:
• Two equal triangles with base 6 in. and height 4 in.
,• Two rectangles (Rectangle 1) of dimension 5 in. by 12 in.
,• A rectangle of dimension 6 in. by 12 in.
Therefore:
\(\begin{gathered} \text{Surface Area}=2(\text{Area of Triangle)+2(Area of Rectangle 1)+Area of Rect. 2} \\ =2(\frac{1}{2}\times6\times4)+2(5\times12)+(6\times12) \\ =24+120+72 \\ =216\; in^2 \end{gathered}\)She would need 216 square inches of wrapping paper.
Please help me, and I'm sorry if picture quality is bad, I hope it's readable
The angle that has been marked as x in the parallelogram that has been shown is 160°.
Are adjacent angles of a parallelogram supplementary?In a parallelogram, opposite angles are congruent, and adjacent angles are supplementary . Thus we must know that when we use the term supplementary what we are saying is that the angles would add up to one hundred and eighty degrees.
We know that the adjacent angle of a parallelogram are supplementary as such we have that;
x + 20 = 180
x = 180 - 20
x = 160°
Learn more about parallelogram:https://brainly.com/question/29147156
#SPJ1
2x - 4y + 7x - 87
Helppp
Answer:
9x-4y-87
Step-by-step explanation:
2x-4y+7x-87
9x-4y-87
Answer:
9x-4y-87
Step-by-step explanation:
7x+2x=9x
-4y has no similar variable
-87 has no similar variable
therefore the answer is 9x-4y-87
Help with this would mean a lot 12 points!!
Answer: I can only solve #3 The asnwer is -1.65x
Step-by-step explanation:
Multiplying a positive and a negative equals a negative
(+)x(-)=(-)
-X x 5.5 x 0.2 x 1.5. <---- Calculate the product
and you will get -1.65x
Find the value of x for C below. (4x +15) (6x +3)"
Answer:
x = 25
Step-by-step explanation:
5. Express the product as a polynomial in simplest form:
(x + 5)(x - 5)(2x + 3)
Answer:
2x^3+3x^2-50x-75
Step-by-step explanation:
(x+5)(x-5)=x^2-25
(x^2-25)(2x+3)=2x^3+3x^2-50x-75
Can I have brainliest!
5/10= b/100 what is the answer to z
Answer:
B = 50
Step-by-step explanation:
\(\frac{5}{10} =\frac{b}{100}\) do butterfly multiplication
\(5*100=500\)
\(10*b=10b\)
\(\frac{10b}{10}=\frac{500}{10}\)
B = 50
7th GRADE MATH 18 POINTS the questions are the orange circled ones
Answer:
6) 567
7)160
Step-by-step explanation:
You have just received your first paycheck of $4,400 from your new job. You visit the dealership with your friend in search of a car. You see a a used car for $4000. The manager tell you that he will give you a discount of 50 percent. When you get home, your parents tell you that they will pay 50 % of the remaining balance.
You are excited when your friend tell you that you will get the car for "free". You will not have to pay any of your own money for the car?
Answer the questions below by showing your work for each question. Answer must be in full sentence.
a) Is your friend correct in assuming that you will not have to pay any of your own money for the car? Why or why not. Proof it.
b) How much if any of your own money will you have to pay for the car?
Skip to navigation
Pls answer my question on a page pls because the files don't work on this computer
solve the equation 4x=48
Answer:
x=12
Step-by-step explanation:
divide by 4 on both sides
the solution to the equation is x = 12.
To solve the equation 4x = 48,
we need to isolate the variable x.
We can do this by dividing both sides of the equation by 4.
4x / 4 = 48 / 4
When we divide 48 by 4, we get 12.
So, 4x = 48 simplifies to x = 12.
Therefore, the solution to the equation is x = 12.
This means that if we substitute 12 for x in the equation 4x, we get
4 multiplied by 12, which equals 48, satisfying the original equation.
Learn more about Equation here
https://brainly.com/question/32560868
#SPJ6
Solve for x in parallelogram ABCD.
(2x+10)
(4x+20)
(3x-15)
Thus, the solution for x in parallelogram ABCD, using equal opposite angles is found as: x = 25.
Explain about the features of parallelogram?A parallelogram is a particular sort of polygon. It is a quadrilateral in which the opposite side pairs are parallel to one another.
There are six crucial parallelogram characteristics to be aware of:
Congruent sides are those when AB = DC.Congruent opposite angels are D = B.(A + D = 180°) Consecutive angles are supplementary.All angles are correct if just one of them is.A parallelogram's diagonals cut each other in half.A parallelogram's diagonals divide it into two congruentGiven data:
In parallelogram ABCD.
∠A = (2x+10)
∠D = (4x+20)
∠C = (3x-15)
We know that, opposite angles of parallelogram are equal.
∠A = ∠C
(2x+10) = (3x-15)
Bring alike terms together.
3x - 2x = 10 + 15
x = 25
Thus, the solution for x in parallelogram ABCD, using equal opposite angles is found as: x = 25.
Know more about the parallelogram
https://brainly.com/question/970600
#SPJ1
(3x^3-x+4) +(x^2-5x-5)
find the measure of the indicated angle
Answer:
Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.
Step-by-step explanation:
Find dy/dx and d²y/dx².
x = et, y = te¯t
d/dx (y) = |(- e ^ (- t) * (t - 1))/(e ^ t)|
(d ^ 2 * y)/(d * x ^ 2) = |(e ^ (- 2t) * (2t - 3))/(e ^ t)|
For which values of t is the curve concave upward? (Enter your answer using interval notation.)
The values of t for which the curve is concave upward are: t > 3.
Given the parametric equations are:
x = eᵗ
y = t e⁻ᵗ
Differentiating with respect to 't' we get,
dx/dt = eᵗ
dy/dt = e⁻ᵗ [1 - t]
So, dy/dx = (dy/dt)/(dx/dt) = (e⁻ᵗ [1 - t])/eᵗ = e⁻²ᵗ [1 - t]
differentiating the above term with respect to 'x' we get,
d²y/dx² = d/dx [e⁻²ᵗ [1 - t]] = e⁻²ᵗ [(-1) - 2(1 - t)] = e⁻²ᵗ [t - 3]
Since the curve is concave upward so,
d²y/dx² > 0
e⁻²ᵗ [t - 3] > 0
either, t - 3 > 0
t > 3
Hence the values of t for which the curve is concave upward are: t > 3.
To know more about concave upward here
https://brainly.com/question/31990866
#SPJ4
g(6)
find the function
What should be done first to simplify 22/2 • 3/9 • 4
Answer:
44/3
Step-by-step explanation:
Reduce 22/2 to 11, 3/9 to 1/3:
11(1/3)(4)
Working from left to right:
11(4)
------ = 44/3
3
Answer:
Step-by-step explanation:
simplify 22/2 then multiply it by 3/9
then multiply that answer by 4 and your total will be 14.6
In the diagram, the measure of angle ACB is 25 degrees. What is the measure of angle AOB?
Answer:
50 degrees
Step-by-step explanation:
There is a rule that says, x=2x, which means angle with 2 endpoints at the circumference and touches the center of the circle(AOB in this case) is twice the angle that is formed from the same endpoints and touches the circumference. (This is a overcomplicated definition)
So, if ACB is 25degrees, then AOB is twice that which is 50degrees.