Answer:
4
Step-by-step explanation:
12÷ 3 (books)=4
Using combinations, 15400 different groups of 3 books are available from the list of 12.
What is combinations?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.
Given
Total number of books = 12
You are to choose 3 books to read over the summer.
Number of different group of 3 books = [tex]\frac{12C_{3}.(9C_{3}).(6C_{3}).(3C_{3} ) }{4!}[/tex]
= [tex]\frac{\frac{12!}{3!9!} .\frac{9!}{3!6!} .\frac{6!}{3!3!} }{4!}[/tex]
= 15400.
Thus, 15400 different groups of 3 books are available from the list of 12.
Find out more information about combinations here
https://brainly.com/question/1550504
#SPJ3
Find the sum of the polynomials below: (4x? + 5x5 + 1x+6) + (10x7 + 6x5 - 4x + 4)
Answer:
10 x^7 + 6 x^5 - 4 x + 4
Step-by-step explanation:
It says if (3,-4) is a point in the terminal side of the angle 0 which one of the following statements is not true
A sin 0= -4/5
B cos 0=3/5
C tan 0=-4/3
D sec 0=5/-4
Which expression is equal to 97/33??
Answer:
2 31/33
Step-by-step explanation:
this is a IMPROPER FRACTION once the absolute value of the top number or numerator [97] is greater than absolute value of numerator is greater than denominator[33] so the equivalent fraction is a MIXED NUMBER which is made up of a whole number [2] ans proper fraction [31/33]
There are 8 volunteers during the weekday and only 5 volunteers on the
weekend. How many volunteers do you have on Monday and Saturday?
If you have 10 people who need help from the volunteers on Monday,
how many will not get helped if the ratio of volunteers to the person
needing help is 1:1? Show how you got your answer.
Answer:
Monday is a weekday, with which there would be 8 volunteers.
In turn, Saturday is a weekend day, with which there would be 5 volunteers.
2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.
Step-by-step explanation:
Given that there are 8 volunteers during the weekday and only 5 volunteers on the weekend, to determine how many volunteers do you have on Monday and Saturday the following logical reasoning must be carried out:
Monday is a weekday, with which there would be 8 volunteers.
In turn, Saturday is a weekend day, with which there would be 5 volunteers.
In turn, if you have 10 people who need help from the volunteers on Monday, to determine how many will not get helped if the ratio of volunteers to the person needing help is 1: 1 the following logical reasoning must be carried out:
10: 8
1: 1
10 - 8 = 2
Thus, 2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.
Answer:
ok read the step by step
Step-by-step explanation:
imagine you're in a sauna alone, the room is a comfortable warm temperature and there is a light sweat that coats your skin. suddenly a man walks in with a towel around his waist, he is a big burly man with massive muscles. he sits next to you and lets go of his towel. after some awkward conversation he gets up to leave and forgets to hold his towel. the towel falls almost in slow-mo and it reveals... a fishtail? he looks back in shock and says in a deep voice "you know too much" raises his arm and strikes you down.
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
+ 12x + 3y = 72
14x = 70
14x/14= 70/14 → x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
7y/7= 28/7 → y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.
Explain how you know that a system of equations has no solution.
Explain how you know that a system of equations has an infinite number of solutions.
Answer:
Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.
HELP WITH MATH EASSYYYYY
Answer:
Step-by-step explanation:
1. 6,561
2. 33 Oh wait sry its 87
3. 127
does this help?
Answer:
whats the question
Step-by-step explanation:
If the area of a circle is 144π in2, what is its circumference? Round your answer to the nearest tenth.
Answer:
42.54
Step-by-step explanation:
A=πr2
C=2πr
Find the values of x and y that make the quadrilateral a parallelogram.
4x + 6
4y - 3
By + 1
7x - 3
you purchase a bike for$175 the store-bought it from the manufacture for $100 what is the percent markup
Answer:
Step-by-step explanation:
The diagram below shows the side view of a ladder leaned against a wall.
What measurement is closest to the length of the ladder in feet?
26.25 m
15.75 m
11.25 m
126.56 m
Giving 13 points!! Help help help
Answer:
a. 15
b. 27
c. 4
d. 72
e. 2
Step-by-step explanation:
If you need an explanation lmk! happy to help.
A survey of randomly selected visitors to a mall yielded the following data:
Approved new design for the seating in the food court
Number surveyed
Male
155
254
Female
157
301
Based on this sample, what would be the correct decision and conclusion of a test to determine whether the proportion who approve the design plan for the seating area in the food court is higher for men than it is for women at the 5% level?
a) Reject the null concluding that there is evidence the proportion is higher for men.
b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
c) Do not reject the null hypothesis concluding that there is evidence that the proportion is higher for men.
d) Reject the null concluding that there is evidence the proportion is higher for women.
e) Do not reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
Answer:
The answer is A
Step-by-step explanation:
Reject the null concluding that there is evidence the proportion is higher for men.
Using the z-distribution, as we are working with proportions, it is found that the correct option is:
b) Reject the null hypothesis concluding that there is no evidence that the proportion is higher for men.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportions are the same, that is:
[tex]H_0: p_M - p_W = 0[/tex]
At the alternative hypothesis, it is tested if it is higher for men, that is:
[tex]H_1: p_M - p_W > 0[/tex]
What is the distribution of the difference of proportions?For each sample, we have that:
[tex]p_M = \frac{155}{254} = 0.6102, s_M = \sqrt{\frac{0.6102(0.3898)}{254}} = 0.0306[/tex]
[tex]p_W = \frac{157}{301} = 0.5216, s_W = \sqrt{\frac{0.5216(0.4784)}{301}} = 0.0288[/tex]
Then, for the distribution of differences, the mean and the standard error are given by:
[tex]\overline{p} = p_M - p_W = 0.6102 - 0.5216 = 0.0886[/tex]
[tex]s = \sqrt{s_M^2 + s_W^2} = \sqrt{0.0306^2 + 0.0288^2} = 0.042[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
In which p = 0 is the value tested at the null hypothesis, hence:
[tex]z = \frac{\overline{p} - p}{s}[/tex]
[tex]z = \frac{0.0886 - 0}{0.042}[/tex]
[tex]z = 2.11[/tex]
What is the decision?Considering a right-tailed test, as we are testing if the proportion is higher than a value, with a significance level of 0.05, the critical value is of [tex]z^{\ast} = 1.645[/tex].
Since the test statistic is greater than the critical value for the right-tailed test, there is enough evidence to reject the null hypothesis that the there is no evidence that the proportion is higher for men, hence option b is correct.
More can be learned about the z-distribution at https://brainly.com/question/26454209
What is the measure of Angle
Step-by-step explanation:
ΔM + 63° = 180° ------ ( angle sum property )
ΔM = 180° - 63°
ΔM = 117°
------------------------------FOLLOW MEAnswer the 2 questions.
Answer:
Step-by-step explanation:
1. 80+8x≥176 because 80 times however many days worked plus 8 times however many video games sold on Thursday
and
2. 7x + 13y ≤ 81 I'm not sure how to explain why on this one.
CREDITS GO TO THE OTHERS WHO MADE THESE ANSWERS, I JUST FOUND THEM SO I COULD HELP THIS PERSON!
Whitney has £12 pocket money.
She spends 50% of her pocket money on
magazines.
She spends 33% of her pocket money on apps.
How much pocket money does she have left?
Show the steps in your working.
answer
£2
explanation
12÷50%=6
12÷33%=4
6+4=10
12-10=2
Answer:
2.04 pounds left.
Step-by-step explanation:
Whitney has 12 pounds pocket money
She spends 50% of it on magazines
50% of 12 pounds is 50/100 * 12 = 600/100 = 6 pounds
33% of 12 pounds is 33/100 * 12 = 395/100 3.96 pounds
Total Spent 9.96 pounds
Amount left = 12 - 9.96 = 2.04
She has 2.04 pounds left.
What is the product of 2 and 2 square foot 80
Answer:
35.7 I believe
Step-by-step explanation:
Which fraction is equivalent to the whole number 8?
A.1/8
B.2/10
C.12/8
D.16/2
Answer:
D: 16/2
Step-by-step explanation:
you take 16 and divide it by 2 making your answer 8
Does anyone have a answer to this?
HELP ITS OVERDUEEE PLEASE PLEASE PLEASE ILL LOVE YOU FOREVER. Suppose that a movie is being filmed. An action shot requires an object to be thrown upward with an initial velocity of 48 feet per second off the top of the plaza, a height of 640 feet. The height h(t) in feet of the object after t seconds is given by the function h(t) = – 16t2 + 48t + 640. Determine how long before the object strikes the ground. (Hint: Let the height,
h(t), be 0 and solve for t.)
Answer:
the height of the object is and the height at 6 seconds is .
b. the height of the object increases and then decreases.
c. -16(t - 9) (t +4)
i really really really hope this helps
hey I could use some help!
Answer:
b is the right answer
Step-by-step explanation:
The equation for the circle below is x2 + y2 = 16. What is the length of the
circle's radius?
Answer:
4
Step-by-step explanation:
The general equation circle is
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
Where r is the radius
Plug in the equation
[tex] {x}^{2} + {y}^{2} = 16[/tex]
Take the sqr root of 16 tocfind the radius
[tex] \sqrt{16} = 4[/tex]
Find the indicated angle please help (multiple choice)
Answer:
D
Step-by-step explanation:
sohcahtoa
Sin x = 32/58
sin x = .5517
x = 33°
Solve the inequality.
-6n > 54
Answer:
n < 9
Step-by-step explanation:
Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.
[tex]-6 n > 54[/tex]
[tex]/ (-6)[/tex]
[tex]n < 9[/tex]
Evaluate 2a-b for a=2 and b=3.
Answer:
1
Step-by-step explanation:
5. In the diagram above, what is the volume of the rectangular prism?
A. 120 cm
B. 162 cm
C. 324 cm
D 360 cm
Answer:
The answer is D.
Step:
6*5*12=360
Find all of the x-intercepts of the polynomial function
p(x) = 3x^3-23x^2+33x–5
Answer:
x=5/3
x= 3+2[tex]\sqrt{2}[/tex]
x= 3-2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
if graphed the x intercepts would be (5/3 , 0) (3+2[tex]\sqrt{2}[/tex] ) (3-2[tex]\sqrt{2}[/tex])
y intercepts (0,-5)
What is the area of the base of the figure
48
45
30
24
i believe the area is 48 if it's not correct sorry
8 1/16 - 5 1/2 ( do you know?)
Answer:
2 and 2/3
Result in decimals: 2.6666666666667
Step-by-step explanation:
just the answer and I'll give the best rating.
Answer:
89 i dont know
Step-by-step explanation:
What is the answer to 809 x 67
Answer:
The answer is 54203!
Step-by-step explanation:
Pls mark me branlyist
Answer:
The answer to your question is....
809 x 67 = 54203