Answer: 1 cup
Step-by-step explanation: they have a 1:1 ratio
Answer:
1
Step-by-step explanation:
If you have 1 cup of chocolate chips for every 1 cup of sugar, that is a 1:1 ratio
A whole cup of sugar is equal to 1 cup of sugar
Therefore, you will have 1 cup of choloate chips for the whole cup of sugar
A computer programming team has 17 members. (For each answer, enter an exact number.) (a) How many ways can a group of nine be chosen to work on a project? 24310 Correct: Your answer is correct. (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? 1 Incorrect: Your answer is incorrect. (ii) How many groups of nine can be chosen that contain at least one man? 9 Incorrect: Your answer is incorrect. (iii) How many groups of nine can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project?
The number of groups that can be chosen from the team of 17 depends on
the given conditions of the selection.
The correct responses are;
(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.(ii) The number of groups of 9 that contain at least one man is 24,309 groups.(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.Reasons:
The combination of n objects taking r at a time is given as follows
[tex]_nC_r = \dbinom{n}{r}[/tex]
(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;
Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.
(b) (i) Number of women = 9
Number of men = 8
Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]
[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]
Number of groups of 9 containing 5 women and 4 men = 8,820 groups.
(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]
[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]
The number of groups that contain at least one man are 24,309 groups.
(iii) The number of groups of 9 that contain at most 3 women if given as follows;
[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]
The number of groups of 9 that contain at most 3 women are 2,649 groups.
(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]
[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]
(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]
[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]
The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.
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Plot the following and their opposites on the number line.
Step-by-step explanation:
Is there a image or any numbers because I can't see any
Answer:
If you are doing it thru edmentum the answer would be -2, 7, 1, 0, -5, 4, -3
Step-by-step explanation:
Hope this helps!!
Find the mass of 250 ml of water. The density of water is 1 g/ml.
D= Density
M=
Volume - 10ml
What is the Mass?
V=
Mass - 70
Density
Alaalam
Answer:
250g
Step-by-step explanation :
250ml x 250g/ml = 250 g
To get the mass (in grams), you need to divide the ml's off and get the g alone.
solve the following system of equations for all three variables.
-9x-y+2z= -4
-6x+y+5z= 2
-4x+y+5z= 6
Answer:
x=2, z=4, y=-6
Step-by-step explanation:
Add
-9x-y+2z= -4
-6x+y+5z= 2
-9x-6x is -15x
-y+y is 0
2z+5z is 7z
-4+2 is -2
So the equation now looks like this: -15x+7z=-2
Subtract
-6x+y+5z= 2
-4x+y+5z= 6
So the equation will look like this:
-6x+y+5z= 2
-(-4x+y+5z= 6)
-6x+4x is -2x
y-y is 0
5z-5z is 0
2-6 is -4
So the equation now looks like this: -2x=-4
You can find x by dividing -2 on both sides:
x=2
So 2 is x
Now you can substitute x into 2
-15(2)+7z=-2
-30+7z=-2
7z=28
Divide 7 on both sides:
z=4
So now you can substitute z into 4 (For any of the three equation)
-4(2)+y+5(4)=6
-8+y+20=6
20 minus 8 is 12
y+12=6
Subtract 12 on both sides:
y=-6
So the answers are
x=2, z=4, y=-6
Hope this helps!
Darren’s taxable income is $27,481. He is filing as head of household, and he has already paid $3847 in federal taxes.
What will he receive or pay after he figures his taxes for the year?
Tax table of wages
He will receive a refund of $161.
He will receive a refund of $346.
He will pay $161.
He will pay $346.
Answer:
If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.
Step-by-step explanation:
Answer:
Step-by-step explanation:
he will receive a refund of 346 dollars
i just took the test
ANSWER QUICKLY!!!!!
Given the polynomial function
f(x)=x3−4x2+x+6
1) Name all of the possible rational roots for the function using the Rational Root Theorem.
2) Prove 2 is one of the zeroes of this function (show or describe your process).
3) Name all of the actual roots of this function and describe how you found them.
4) Write the original polynomial function f(x)=x3−4x2+x+6 in factored form.
Answer:
1. The possible roots are ±1, ±2, ±3, ±6. These are the factors of the trailing constant (6) divided by the factors of the leading coefficient (1). When the leading coefficient is 1, the possible roots are the factors of the constant
2. The polynomial is easier to evaluate when it is written in Horner form:
f(x) = ((x -4)x +1)x +6
To show that 2 is a zero, we want to find f(2):
f(2) = ((2 -4)2 +1)2 +6 = (-4 +1)2 +6 = -6 +6 = 0
f(2) = 0, so 2 is one of the zeros of this function
3. Using synthetic division (attached) or polynomial long division, we can divide the given polynomial by (x-2) to find the remaining factors. This division gives (x^2 -2x -3), which can be factored as (x -3)(x +1), so the three actual roots are ...
x = 2 (from above), x = 3, x = -1 (from our factorization)
4. In factored form, the polynomial can be written ...
f(x) = (x +1)(x -2)(x -3)
The first factor was found from the fact that 2 was given as a zero of the function. For any zero "a", a factor of the polynomial is (x-a).
The remaining factors were found by factoring the quadratic trinomial that resulted from the division of f(x) by x-2. That trinomial is x^2 -2x -3.
There are a number of methods that can be used to factor x^2 -2x -3. Again, the rational root theorem can help. It suggests that ±1 and ±3 are possible roots.
Help very urgent, . . .
Answer: 3.1
Step-by-step explanation:
If y varies directly with x which equation describes x = 72 and y = 36?
Answer:
k = 1/2
Step-by-step explanation:
direct variation equation is y = kx where 'k' is the constant of variation
substitute 36 for 'y' and 72 for 'x' to get:
36 = 72k
solve for 'k' to get:
k = 36/72 or k = 1/2
what is the expanded form of 203,574
Expanded Notation Form:
203,574 =
200,000
+ 0
+ 3,000
+ 500
+ 70
+ 4
Expanded Factors Form:
203,574 =
2 × 100,000
+ 0 × 10,000
+ 3 × 1,000
+ 5 × 100
+ 7 × 10
+ 4 × 1
Expanded Exponential Form:
203,574 =
2 × 105
+ 0 × 104
+ 3 × 103
+ 5 × 102
+ 7 × 101
+ 4 × 100
Solve the equation if 0°≤x≤360°*tan x =√3
Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.
Tan x = the opposite side of angle x divided by the adjacent side of angle x
The tangent is √3 when x = 60° or π/3
However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?
This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)
***I am assuming that the negative sign should be outside of the square root sign***
Hurry please What is the equation of this line
A. Y=1/4x-6
B. Y=6x-4
C. Y=6x-1/4
D. Y=4x-6
Help me or I will steal your caprisun.
Answer:
C and DStep-by-step explanation:
A. Incorrect as the directions are not opposite.B. Incorrect as - 40 - 10 = -50 m ≠ 0.C. Correct as the same amount is added and subtracted, resulting in zero.D. Correct as protons and electrons have opposite charges, their sum is neutral.I'll give Brainliest, I need this now. :D
Answer:
I think it's 6:3=18:9=54:27
Step-by-step explanation:
I hope this helps!
You have a square table and want to create a
tablecloth for it using a piece of fabric.
The side length of the table is 72 inches. How
much fabric do you need?
Based on the information given, the length of fabric that's needed will be 288 inches.
From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:
= 72 inches × 4
= 288 inches.
Therefore, the length of fabric that's needed will be 288 inches.
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solve pls brainliest
Answer:
53cm
Step-by-step explanation:
11+8+8+11+15=53cm
Use your expression from #2 to answer the following question. If there are 6 $5 bills and 4 $10 bills, how much money is in the box
Answer:
70 dollars
Step-by-step explanation:
6 x 5 = 30, 4 x 10 = 40. Add them up, that's what you get.
can someone plz help me with this!!!
2 is the correct answer of this question
Which of the following graphs represents a function?
Answer:
A and C
Step-by-step explanation:
A function has a unique y value for every unique x value
The vertical section disqualifies B
D has 2 y values for many x values.
please help me with this sum
Answer:
1. 384
2. 180
3. 324
4. 648
5. 476
6. 528
7. 294
8. 384
9. 414
10. 80
11. 72
12. 301
13. 222
14. 146
15. 156
16. 270
17. 283
18. 300
19. 292
20. 58
21. 64
22. 138
23. 296
24. 170
Hope it helps you
Can you please Help me?
Answer:
D. 5i
Step-by-step explanation:
edge 2021
Last year Kaitlin opened an investment account with $7600. At the end of the year, the amount in the account had increased by 6.5%. How much is this increase in dollars? How much money was in her account at the end of the year
The increase was: 494
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Step-by-step explanation:
given,
length = 100 m
breadth = 60 m
we know,
area = l × b
now,
100 × 60 = 6000 m
therefore, area of rectangular field is 6,000 m.
and for both the semicircle if we add both the semicircle we will get a complete circle.
as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m
we know,
Area = πr²
now,
→ 3.14 × 30²
→ 3.14 × 900
→ 2826 m
so,
area of rectangle + area of circle = area of the training field.
→ 6000 + 2826 = 8826.
therefore, area of training field is 8,826 m.
hope this answer helps you dear...take care and may u have a great day ahead!
Answer:
8826 m²
Step-by-step explanation:
The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )
area = area of rectangle + area of circle
= lb + πr² ( r = 60 ÷ 2 = 30 )
= (100 × 60) + (3.14 × 30²)
= 6000 + (3.14 × 900)
= 6000 + 2826
= 8826 m²
A department store sells shoes with an 70% markdown. If one pair of shoes is originally $148, then with the markdown, what is the new selling price for those shoes?
Answer:
$44.40
Step-by-step explanation:
100%-70%=30%
30/100x148=44.40 (discounted price)
Appreciate to be marked brainliest. Hope this helps!
The model below represents an equation. IN Which represent like terms in the model of the equation? and and T Save and Exit Next Mark this and return Ei O Type here to search NEWD HELP ASAP PLSSS
Answer:
x x x and 1 1 1
Step-by-step explanation:
3rd option is the correct answer.
PLZ HURRY IM TIMEDDD
Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop. To determine the number of different toppings available at the shop, Sameer set up and solved the equation as shown below.
Three-fourths = StartFraction x over 12 EndFraction. Three-fourths (12) = StartFraction x over 12 EndFraction (12). 9 = x.
Which best describes the error that Sameer made?
Sameer did not use the correct equation to model the given information.
Sameer should have multiplied both sides of the equation by Four-thirds instead of by 12.
The product of Three-fourths(12) is not equal to 9.
The product of Four-thirds and StartFraction 1 over 12 EndFraction should have been the value of x.
Answer:
B, second option: the product of three fourths is not equal to 9
The error made by Sameer while creating the algebraic equation: Sameer did not use the correct equation to model the given information.
What is algebraic equation?An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.
It is given that Three-fourths of the total number of different toppings available at the make-your-own sundae shop = 12
The algebraic equation given by Sameer is wrong, the correct equation will be:
Let the total number of toppings be x.
[tex]\frac{3}{4} x = 12\\ \\x = 12 (\frac{4}{3} ) = 16[/tex]
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How do I find the standard deviation?
Answer:
Step-by-step explanation:
Work out the Mean,
Then for every number, subtract the Mean and square the result.
Then work out the mean of those squared differences
and then take the square root of that.
Part A and Part C the same? Why or why not?
Answer:
is part 1 and part 3 the same, no
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
A Matrix of 1xM is called as ______.
Answer:
row matrix
Step-by-step explanation:
A matrix with only 1xmis called a ______ matrix
What is formed when the number of electrons is changed?
Question 2 options:
isotope
radioisotope
a new element
ion
Answer:
A New Element
Gus wrote the following riddle: I am a number between 30 and 60. My ones digit is three less than my tens digit. I am a prime number.
What number does Gus’ riddle describe?
Answer: 41
Step-by-step explanation: