Answer:
765
Step-by-step explanation:
Given in the question,
number of people to be choose with at least 5 women in it = 8
There are 2 ways to choose 8 members
1)
5 women
(6C5)(10C3)
6x120
720
2)
6 women
(6C6)(10C2)
1x45
45
Our final answer is 720 + 45 = 765 ways
Formula to calculate
nCr = n! / r!(n-r)!
The selection of members of the committee is an illustration of combination.
The number of ways of selection is 765
The given parameters are:
[tex]\mathbf{Men = 10}[/tex]
[tex]\mathbf{Women = 6}[/tex]
At least 5 women means that:
There are 5 women and 1 man in the committee orThere are 6 women and no man in the committeeSo, the possible selection is:
[tex]\mathbf{Selection = ^6C_5 \times ^{10}C_3 + ^6C_6 \times ^{10}C_2}[/tex]
Apply combination formula
[tex]\mathbf{Selection = \frac{6!}{5!1!} \times \frac{10!}{7!3!} + \frac{6!}{6!0!} \times \frac{10!}{8!2!}}[/tex]
[tex]\mathbf{Selection = 6 \times 120 + 1 \times 45}[/tex]
[tex]\mathbf{Selection = 720 + 45}[/tex]
[tex]\mathbf{Selection = 765}[/tex]
Hence, the number of ways of selection is 765
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Which Line is longer?
A.——————————
B.—————
Answer:
Line A is longer because i can see
Step-by-step explanation:
need help with number 29
Answer:
9c
Step-by-step explanation:
Collecting like terms
We can do 8-6 which is 2
and then 2 add 7 which is 9
Add c
What is 7.07106781187 rounded to the nearest hundredth?
7.07 is the right answer to 7.07106781187 rounded to the nearest hundredth
Yeah 7.07. I would agree.
3x+2=4x-3?
Please help me
Answer:
The answer is 5
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
3x+2=4x-3
minus 3x from both sides
2=x-3
add 3 to both sides
x=5
dentify the percent, amount, and base in this problem. 75% of what number is 30?
Answer:
40
Step-by-step explanation:
This is essentially just (4/3), or [tex]\frac{3}{4}^{-1}[/tex]. (4/3)*30 = 40, so our answer must be 40. Just to check, taking 75 percent of 40, we indeed get 30!
For this case we must find a number of which 30 represents 75%. For this, we make a rule of three:
x ------------> 100%
30 ----------> 75%
Where the variable "x" determines the base number of which 30 is 75%
[tex]x = \frac {100 * 30} {75}\\\\[/tex]
[tex]x=40[/tex]
Thus, 30 represents 75% of 40.
Answer:
40
Jessica owns a base salary of $150 every week with an additional 40% commission on everything she sells if Jessica is sold $1650 worth of items last week what was her total pay?
Answer:$2,310
You set up dash equals dash 1,650 over 100% and x over 140% you would then cross multiply and divide. You would multiply 1,650 and 140 which give you 231000 the divide that by 100 and that gives you $2,310
How many oatmeal cookies are @ the party?
Answer:
15 oatmeal
Step-by-step explanation:
Add by 5 for each one
Answer: 15 Oatmeal Cookies
Step-by-step explanation: 8 Boxes 3 Boxes For Oatmeal Rasian 3x5 = 15
Janet is 6 years younger than Safiya.How old is each girl if the suk of their ages is 26
Answer:
20. 26-6=20
Step-by-step explanation:
In the coronet plane, what is the length of the line segment that connects points at (5, 4) and (-3, -1)? Enter your answer in the box. Round to the nearest hundredth. ___units
Answer:
9.43Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points (5, 4) and (-3, -1). Substitute:
[tex]d=\sqrt{(-3-5)^2+(-1-4)^2}=\sqrt{(-8)^2+(-5)^2}=\sqrt{64+25}=\sqrt{89}\approx9.43[/tex]
A quadrilateral has angle measures of 102°, 84°, and 77°. What is the measure of the fourth angle?
Answer:
Measure of the 4th angle = 360-(102+84+77)
= 360-263
= 97°
Hope this helps!
HELP! PLZ I NEED THIS ASAP
Answer:
[tex]2x^{4}+x^{3}-x+2[/tex]
Step-by-step explanation:
To find which one is prime, let's try to factor them all. We can use the factoring by grouping method.
[tex]x^{3}+3x^{2}-2x-6[/tex]
[tex]x^{3}+3x^{2}[/tex]and[tex]-2x-6[/tex]
[tex]x^{2}(x+3)[/tex]and[tex]-2(x+3)[/tex]
So this one is not prime, since you can still factor it.
[tex]x^{3}+2x^{2}-3x-6[/tex]
[tex]x^{3}+2x^{2}[/tex]and[tex]-3x-6[/tex]
[tex]x^{2}(x-2)[/tex]and[tex]3(x-2)[/tex]
So this one is not prime, since you can still factor it.
[tex]4x^{4}+4x^{2}-2x-2[/tex]
[tex]4x^{4}+4x^{2}[/tex]and[tex]-2x-2[/tex]
[tex]4x^{3}(x+1)[/tex]and[tex]-2(x+1)[/tex]
So this one is not prime, since you can still factor it.
[tex]2x^{4}+x^{3}-x+2[/tex]
[tex]2x^{4}+x^{3}[/tex]and[tex]-x+2[/tex]
[tex]x^{3}(2x+1)[/tex]and -x+2 cannot be further factored.
Therefore, [tex]2x^{4}+x^{3}-x+2[/tex] is a prime.
Please help me with this math homework
Basically you have to find the graph that goes through the middle of the line or points to it.
I know you can do it! If you have any questions just reply.
What is the measure of angle 1
Answer:
86
Step-by-step explanation:
if u add the angle #'s on the INSIDE, itll give 94, since a triangle isnt obtuse, it would have to add up to 180, subtract 94 from 180 and u get the answer :)
hope this helps
Answer:
Angle 2 = 180 -29 -65 = 86
Angle 1 = 180 -86 = 94 degrees
Step-by-step explanation:
Please help?? Thank you very much in advance
all i can say is the square root of 17 is 4.1 thats all i know
Answer:
C
Step-by-step explanation:
Use the distance formula.
We have the points (0,0) and (8,sqrt17)
This basically means sqrt(8^2+sqrt(17)^2)
Which amounts to
sqrt(64+17)
Which is
sqrt(81)
Which is 9.
Which point represents the center of the circle below ?
The center point is point O
Brainliest! To best answer! Better answer fast or no brainliest!
Which of the following is a statistical question?
A.
How many questions are there on Ben's math test?
B.
What are the shoe sizes of players on the soccer team?
C.
How many chocolates did Bertha sell today?
D.
How many students are there in Kathy's class?
Answer:
B
Step-by-step explanation:
A statistical question has to be a question that can be answered by collecting data that varies.
Answer:
B. What are the shoe sizes of players on the soccer team?
Step-by-step explanation:
A statistical question is one that can be answered by collecting data and where that data will vary.
We do not need to collect data to determine the number of questions on Ben's math test.
There is no variability in the number of chocolates Bertha sells in one day, nor in the number of students in Kathy's class.
To determine the shoe sizes of players on the soccer team, we must collect the data and the data will vary from player to player. This is the statistical question.
A. What is the name of the 3D shape?
b. What is the formula for total surface area for this shape?
c. What is the surface area of the figure?
Check the picture below.
so then, let's notice, this triangular prism is really just 2 triangles and 3 rectangles stacked up to each other at the edges.
so if we simply get the area of each of those figures, and sum them up, that'd be the area of the prism.
notice, the triangles have a base of 4 and a height/altitude of 3.
[tex]\bf \stackrel{\textit{2 triangles}}{2\left[ \cfrac{1}{2}(4)(3) \right]}~~+~~\stackrel{\textit{inclined rectangle}}{(5\cdot 11)}~~+~~\stackrel{\textit{ground rectangle}}{(4\cdot 11)}~~+~~\stackrel{\textit{standing rectangle}}{(3\cdot 11)} \\\\\\ 12+55+44+33\implies 67+77\implies 144[/tex]
he product of ten and a number is greater than the difference of four times the number and two.
Answer:
You can use 1 as a solution.
Step-by-step explanation:
10 + 1 = 11
1 * 4 = 4
4 - 2 = 2
11 > 2
Please help study island answers plz
if a and b are real numbers and if a>b and b =7 then >_ 8. Which Of the following is a counterexample to the assertion above?
A) a=6.5
B) a = 7.5
C) a= -8.5
D) a=8.1
Answer:
B
Step-by-step explanation:
if a is greater then b and b=7 and A< 8 7.5 is the only one that fits the description
Option B) a = 7.5 is the correct
The question is asking which option is a counterexample to the assertion that if a and b are real numbers with a > b and b = 7, then a ">=_" 8. To find a counterexample, we need an instance where a is greater than b (which is 7), but a is not greater than or equal to 8.
A) a=6.5 cannot be the correct answer because it is not greater than b. B) a = 7.5 is indeed greater than b=7, but it is less than 8 which makes it the correct counterexample. Both C) a= -8.5 and D) a=8.1 are not counterexamples; the former is less than b, and the latter is greater than 8.
Therefore, option B) a = 7.5 is the correct counterexample because it satisfies the condition a > 7 but does not meet the incorrect assertion that a is also ">=_" 8.
Type in all the digits of Pi
I have a picture. Type in all of them. Get 30 points.
Answer:
PI= 3.1415926535897932384624338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058
Pi is a Mathematics constant that represents the ratio of a circle's circumference to its diameter. Its decimal representation is approximately 3.14.
The value of Pi is a mathematical constant that represents the ratio of a circle's circumference to its diameter.
The decimal representation of Pi is approximately 3.14159265358979323846264338327.
However, it is important to note that Pi is an irrational number, which means its decimal representation goes on infinitely without repeating.
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The probable question may be:
Type in all the digits of Pi
I have a picture. Type in all of them. Get 30 points.
A slice of PI
******************
****************
3.14159265358979
323846264338327
95028841971693
9937510582097
494459230781
64062862089
9862803482
534211706
79821480
8651328
230664
70938
4460
955
05
8
The volume of a cube can be found using the equation V=S3, where V is the volume and Sis the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description.
Answer:
s = ∛729 in³
Step-by-step explanation:
Since the volume is 729 in³, our equation can be plugged into:
729 = s³.
Isolate s by cube rooting each side: ∛729 = s.
Using the coordinates of two points (84,80) and (74,65) determine the slope of the line of best fit
Answer:
2/3
Step-by-step explanation:
Given in the question two points
(84,80) and (74,65)
Here
x1 = 84
x2 = 74
y1 = 80
y2 = 65
Slope of line means gradient of line and formula to calculate gradient of line is
gradient = [tex]\frac{x2-x1}{y2-y1}[/tex]
plug values in the formula
[tex]\frac{74-84}{65-80}[/tex]
[tex]\frac{-10}{-15}[/tex]
cancel - sign
[tex]\frac{10}{15}[/tex]
2/3 is the gradient of line having coordinates (84,80) and (74,65)
what is w + 5? I need help!
Find the surface area of a cylinder
Answer:
Surface area = 207.24 in²
Step-by-step explanation:
Remember to always convert the diameter into a radius.
D = 6 in (divide it by two to get the radius) R = 3 in
Radius = 3 in
Formula:
SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²
Solution:
SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²
SA = 2(3.14)(3)(8) + 2(3.14)(3)
SA = 2(3.14)(3)(8) + 2(3.14)(9)
SA = 150.72 + 56.52
SA = 207.24 in²
URGENT EASY 59 POINTS What is the distance between the points (5, 14) and (18, 3)?
Answer:
[tex]\large\boxed{\sqrt{290}}[/tex]
Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have the points (5, 14) and (18, 3). Substitute:
[tex]d=\sqrt{(18-5)^2+(3-14)^2}=\sqrt{13^2+(-11)^2}=\sqrt{169+121}=\sqrt{290}[/tex]
Answer:
17.03
Step-by-step explanation:
Hope this helped!
I WILL AWARD BRAINLIEST!!! PLEASE HELP!!! Find the areas of the trapezoids.
Answer:
A = 10.5 units^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2(b1+b2) *h
b1 = 5
b2 = 2
h = 3
I found these by looking at the graph
A = 1/2(5+2) *3
A =1/2(7)3
A = 10.5 units^2
Sales of different ice cream flavors at a small ice cream shop were recorded for one week. The graph shown here displays the sales of each different flavor.Vanilla-6 Chocolate-14 Strawberry-10 Butter Pecan-6 Cookie Dough-4 Moose Tracks-8
What is the mean of the data?
A)6
B)7
C)8
D)9
Mean = Sum of all data divided by number of data
= (6 + 14 + 10 + 6 + 4 + 8) / 6 = 8. (C)
The required mean value fo the given data is 8. Option C is correct.
Given that,
Vanilla-6 Chocolate-14 Strawberry-10 Butter Pecan-6 Cookie Dough-4 Moose Tracks-8,
mean value of the given data is to be determined.
The mean of the values is the ratio of the total sum of values to the number of values.
What is Statistic?Statistic is the study of mathematics that deal with relations between comprehensive data.
Here,
Number of values = 6
Mean = sum of the values/number of values
mean = [6 + 14 + 10 + 6 + 4 + 8]/6
Mean = 48 / 6
Mean = 8
Thus, the required mean value fo the given data is 8. Option C is correct.
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Find the area and perimeter of the following figure
Answer:
143.79
Step-by-step explanation:
The area of the figure can be found by splitting it into two shapes - a semi circle and a trapezoid.
The area of a semi-circle is found using A = 1/2πr² where r = 4.5 since the diameter is 9. A = 1/2π(4.5)² = 31.79.
The area of the trapezoid is found using A = 1/2(a+b)h = 1/2(23 + 9)(7) = 112.
Together the area is 31.79 + 112 = 143.79.
lliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number
of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number
of plants if p= 3?
Answer:
29
Step-by-step explanation:
if p=3, then as the question asks, we must cube it and add 2.
3 cubed is 27, plus 2 is 29.
T=29
where t is the total number of plants.
or t=(p^3)+2
Answer:
D
Step-by-step explanation:
What is the coordinate rule for a dilation centered at (0,0) with a scale factor of 3?
15 POINTS
No picture given.
Answer: (0,0)
Step-by-step explanation:
To find the scale factor of coordinates, you have to multiply the x and y by the scale factor, which is 3.
0 × 3 = 3
0 × 3 = 3
Answer is (0,0)
The rule would be : (x, y) --> (3x, 3y).
The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is (x', y') = (3x, 3y).
Explanation:A dilation is a transformation that changes the size of a figure without altering its shape. The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is given by the equation:
(x', y') = (3x, 3y)
This means that each coordinate of the original figure is multiplied by the scale factor to find the corresponding coordinate of the dilated figure.