Answer:
[tex]6[/tex]
12....................may be
In how many ways can you
select 3 books to bring on
vacation from a group of 11
books?
Answer:
165
Step-by-step explanation:
In 165 ways i can select 3 books to bring on vacation from a group of 11 books.
What is Combination?A combination is when you choose data from a group without any order or sequence. If the group of data is relatively lesser, you can calculate the number of possible combinations.
According to the question
Select 3 books to bring on vacation from a group of 11 books.
By using combinations formula
[tex]^{n} C _{r}=\frac{n!}{r!(n-r)!}[/tex]
[tex]^{11} C_{3}[/tex] = [tex]\frac{11!}{3!(11-3)!}[/tex]
= [tex]\frac{11.(10)(9)(8!)}{3!.8!}[/tex]
Cancelling out 8! from denominator and numerator
= [tex]\frac{11(10)(9)}{3(2)(1)}[/tex]
= 165
Thus, In 165 ways i can select 3 books to bring on vacation from a group of 11 books.
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What does a geometric sequence contain
The geometric sequence is a sequence with a common ratio. The common ratio is the ratio between the succeeding term and the preceding term of a sequence and must be equal to a constant k.
Given a sequence 2, 4, 8, 16... This sequence is geometric in nature because of a constant common ratio of 2.'
Common ratio = 4/2 = 8/4 = 2
Hence a geometric sequence is characterized by its common ratio
Pls help ASAP I’ll brainlest pls
Answer:
i think d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
.....................
Am I right? They want us to round to the nearest degree. I got 72 degrees. Answer ASAP
Select all the correct answers.
In which pairs of matrices does AB = BA?
Answer:
its the second and third option
Step-by-step explanation:
I took the test
In order to multiply a matrix by another matrix, we multiply the rows in the first matrix by the columns in the other matrix (How this is done is shown below)
To determine the pairs of matrices that AB=BA, we will determine AB and BA for each of the options below.
For the first option
[tex]A= \left[\begin{array}{cc}1&0&-2&1&\end{array}\right]; B= \left[\begin{array}{cc}5&0&3&2&\end{array}\right] \\[/tex]
[tex]AB= \left[\begin{array}{cc}(1\times5)+(0\times3)&(1\times0)+(0\times 2)&(-2\times5)+(1\times3)&(-2\times0)+(1\times2)&\end{array}\right]\\AB= \left[\begin{array}{cc}5+0&0+0&-10+3&0+2&\end{array}\right]\\AB = \left[\begin{array}{cc}5&0&-7&2&\end{array}\right] \\[/tex]
and
[tex]BA= \left[\begin{array}{cc}(5\times1)+(0\times-2)&(5\times0)+(0\times 1)&(3\times1)+(2\times-2)&(3\times0)+(1\times2)&\end{array}\right]\\BA= \left[\begin{array}{cc}5+0&0+0&3+-4&0+2&\end{array}\right]\\BA = \left[\begin{array}{cc}5&0&-1&2&\end{array}\right] \\[/tex]
∴ AB≠BA
For the second option
[tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right]; B= \left[\begin{array}{cc}3&0&6&-3&\end{array}\right] \\[/tex]
[tex]AB= \left[\begin{array}{cc}(1\times3)+(0\times6)&(1\times0)+(0\times -3)&(-1\times3)+(2\times6)&(-1\times0)+(2\times-3)&\end{array}\right]\\AB= \left[\begin{array}{cc}3+0&0+0&-3+12&0+-6&\end{array}\right]\\AB = \left[\begin{array}{cc}3&0&9&-6&\end{array}\right] \\[/tex]
and
[tex]BA= \left[\begin{array}{cc}(3\times1)+(0\times-1)&(3\times0)+(0\times 2)&(6\times1)+(-3\times-1)&(6\times0)+(-3\times2)&\end{array}\right]\\BA= \left[\begin{array}{cc}3+0&0+0&6+3&0+-6&\end{array}\right]\\BA = \left[\begin{array}{cc}3&0&9&-6&\end{array}\right] \\[/tex]
Here AB = BA
For the third option
[tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right]; B= \left[\begin{array}{cc}5&0&3&2&\end{array}\right] \\[/tex]
[tex]AB= \left[\begin{array}{cc}(1\times5)+(0\times3)&(1\times0)+(0\times 2)&(-1\times5)+(2\times3)&(-1\times0)+(2\times2)&\end{array}\right]\\AB= \left[\begin{array}{cc}5+0&0+0&-5+6&0+4&\end{array}\right]\\AB = \left[\begin{array}{cc}5&0&1&4&\end{array}\right] \\[/tex]
and
[tex]BA= \left[\begin{array}{cc}(5\times1)+(0\times-1)&(5\times0)+(0\times 2)&(3\times1)+(2\times-1)&(3\times0)+(2\times2)&\end{array}\right]\\BA= \left[\begin{array}{cc}5+0&0+0&3+-2&0+4&\end{array}\right]\\BA = \left[\begin{array}{cc}5&0&1&4&\end{array}\right] \\[/tex]
Here also, AB=BA
For the fourth option
[tex]A= \left[\begin{array}{cc}1&0&-2&1&\end{array}\right]; B= \left[\begin{array}{cc}3&0&6&-3&\end{array}\right] \\[/tex]
[tex]AB= \left[\begin{array}{cc}(1\times3)+(0\times6)&(1\times0)+(0\times -3)&(-2\times3)+(1\times6)&(-2\times0)+(1\times-3)&\end{array}\right]\\AB= \left[\begin{array}{cc}3+0&0+0&-6+6&0+-3&\end{array}\right]\\AB = \left[\begin{array}{cc}3&0&0&-3&\end{array}\right] \\[/tex]
and
[tex]BA= \left[\begin{array}{cc}(3\times1)+(0\times-2)&(3\times0)+(0\times 1)&(6\times1)+(-3\times-2)&(6\times0)+(-3\times1)&\end{array}\right]\\BA= \left[\begin{array}{cc}3+0&0+0&6+6&0+-3&\end{array}\right]\\BA = \left[\begin{array}{cc}3&0&12&-3&\end{array}\right] \\[/tex]
Here, AB≠BA
Hence, it is only in the second and third options that AB = BA
[tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right] B= \left[\begin{array}{cc}3&0&6&-3&\end{array}\right] \\[/tex] and [tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right]B= \left[\begin{array}{cc}5&0&3&2&\end{array}\right] \\[/tex]
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WHAT IS THE AREA OF THE SHADED REGION?
Answer:
240cm
Step-by-step explanation:
Find the value of h(x) = -3x – 12 when x = -2? Show work
Answer:
-6
Step-by-step explanation:
h(x) = -3x – 12 becomes h(-2) = -3(-2) – 12 = -6
56
47
The diagram shows a round fountain surrounded by a circular path. The radius of the fountain is 47 yards, and the distance from the center of
the fountain to the outer edge of the path is 56 yards.
The estimated area of the fountain is
square yards, and the estimated area of the path is
square yards.
Hint: The formula for the area of a Circle is A = 12
Answer:
the estimated area of the fountain is 147.58 square yards and the estimated area of the path is 28.26 square yards
Step-by-step explanation:
#platolivesmatter
your welcome!!!
The area of the fountain is 147.58 square yards, and the area of the path is 28.25 square yards.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Given
a circular fountain,
radius of fountain = √47 yards
area of fountain = πr²
area = π(√47)²
area = 147.58 square yards.
and fountain surrounded by a circular path,
which form a concentric circle with fountain,
the radius of the circular path from center of the fountain = √56 yards
area of the path = total area with radius √56 - an area of fountain
area of the path = π(√56)² - 147.58
area of the path = 175.84 - 147.58
area of the path = 28.26 square yards
Hence the area of the fountain is 147.58 square yards,
area of path = 28.25 square yards.
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ou intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Determine the null and alternative hypotheses. Draw a conclusion about the unknown population using what is known about the sample. Determine the probability at which you will conclude that the sample outcome is very unlikely. Draw a random sample, and calculate the sample statistic.
Answer:
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
Step-by-step explanation:
The correct order of the steps are :
Determine the null and alternative hypotheses : STEP 1
Draw a conclusion about the unknown population using what is known about the sample : STEP 4
Determine the probability at which you will conclude that the sample outcome is very unlikely : STEP 2
Draw a random sample and calculate the sample statistic : STEP 3
please help if you are good at math :( thank you
Answer:
your answer will be
A)(6,10)
B)(2,12)
C)(4,4)
Step-by-step explanation:
hope this helps
have a nice day/night ^_^
Sean had 3 building sets and 18 toy cars in his toy box. At his birthday party, he received 20 gifts. He got 3 train sets, 4 building sets and 9 toy cars. The rest of the gifts are comic books. 3/4 of the gifts are wrapped. 1/3 of the wrapped gifts are wrapped in blue wrapping paper and 1/ 5 of them are wrapped with ribbons. What fraction of the gifts are train sets? What fraction of the gifts are comic books? What fraction of his toy cars are new?
Answer:
1.3/20 2.4/20 or 1/5 3.9/27 or 1/3
Step-by-step explanation:
I hope this helped!
find the slope of the line passing through the points (-3,2) and (-3,-7)
Slope = change in Y / change in x
Slope = (-7 - 2) / (-3 - -3)
Slope = -9/0
Because the change in x = 0, the slope is undefined.
The answer is the slope is undefined.
The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.
Answer:
angles X = 45°
angles Y = 45°
angles Z = 90°
Step-by-step explanation:
Given:
angles X = angles Y = x°
angles Z = 2 angles Y = 2x°
Find:
Each angle
Computation:
Using angle sum property
angles X + angles Y + angles Z = 180
x + x + 2x = 180
4x = 180
x = 45°
So,
angles X = 45°
angles Y = 45°
angles Z = 90°
Casey has a litter of five puppies and four of them are gray at this rate how many puppies would be gray in a litter of 25 puppies?
Answer:
20
Step-by-step explanation:
Write the equation 3x+2y- 5 = 0 in normal form. Then, find the length of the normal and the angle it makes with the
positive x axis.
Answer: x= -2/3y+5/3
Step-by-step explanation:
Let's solve for x.
3x+2y−5=0
Step 1: Add -2y to both sides.
3x+2y−5+−2y=0+−2y
3x−5=−2y
Step 2: Add 5 to both sides.
3x−5+5=−2y+5
3x=−2y+5
Step 3: Divide both sides by 3.
3x/3=-2y+5/3
x= -2/3y+5/3
PLEASE HELP ASAP!!!!!
which triangle makes this sentence true?
answers:
On the maturity date of a $6,600, 9-month, 12% note, the borrower sends a check that includes the principal and all of the interest due on the note. What is the amount of the borrower’s check?
Answer:
$7194
Step-by-step explanation:
Given the following
Principal = $6600
Time = 9months = 9/12 year
Rate R = 12%
Interest = PRT/100
Interest = 6600*9/12 * 12/100
Interest = 66*9
Interest = $594
Amount on the borrowers check = principal + interest
Amount on the borrowers check = 6600 + 594
Amount on the borrowers check = $7194
Misty is making a necklace with
beads that are 0.75 inch long.
The necklace will be 15.75 inches
long. How many beads will
Misty use?
Answer:
21 beads
Step-by-step explanation:
15.75 divided by 0.75 = 21
sorry im late hope this helps out :) <3
In JKL, J = 7.9 inches, K = 2 inches and L =9.8 inches. Find the measure of K to the nearest degree
Answer:
4
Step-by-step explanation:
Delta math
The measure of K to the nearest degree is 4°.
What is the laws of cosines?The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.
Given ΔJKL,
j = 7.9 inches, k = 2 inches, l = 9.8 inches
to find the measure of angle K,
we can calculate the angle by cosine law,
cosK = (j² + l² - k²)/(2.j.l)
cosK = (7.9² + 9.8² - 2²)/(2*7.9*9.8)
cosK = 154.45/154.81
K = cos⁻¹(0.99748)
K = 4.067⁰ ≈ 4°
Hence angle K is 4°.
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Find x and Find m<MNO please help fast
3.Not Answered 4.Not Answered 5.Not Answered 6.Not Answered 7.Not Answered 8.Not Answered 9.Not Answered 10.Not Answered 11.Not Answered 12.Not Answered 13.Not Answered 14.Not Answered 15.Not Answered 16.Not Answered 17.Not Answered 18.Not Answered 19.Not Answered 20.Not Answered Question Workspace Check My Work In a linear regression model, the variable that is being predicted or explained is known as _____________. It is denoted by y and is often referred to as the response variable
Answer:
The answer to your question is Dependent Variable.
In a linear regression model, the variable that is being predicted or explained is known as Dependent Variable . It is denoted by y and is often referred to as the response variable
Step-by-step explanation:
I don't really know how to explain sorry.
Brainliest pls! :)
Answer:Dependent Variable
WILL GIVE BRAINLIEST
Math Problem 30 points please help
Answer: One solution
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
they intersect at 1 point
helppppppppp!!! need work
Answer:
d. y = 3x + 5
Step-by-step explanation:
plug x = 2 in the equation y = 3x +5
y = 3*2 + 5
y = 11
so x = 2, y = 11
we know d is the correct statement
Answer:
your question and is d option
139 / 263 Marks
The pictogram shows the amounts Judy saves in four months.
August
Key:
September
represents £20
October
November
a)
Work out the total amount of money that Judy saves in the four months.
b)
Judy spends £172 on Christmas presents.
How much money does she have left?
The total Judy saved was £200. Moreover, if she spends £172 on Christmas presents, she will have £28 left.
What is the total of money Judy saved?If you observe the pictogram, two squares are equivalent to £20. This means one square is equivalent to £10. Based on this, let's determine the total she saved every month.
August: 3 squares = £30September: 4 squares = £40October: 5 squares = £50November: 8 squares = £80Total: £30 + £40 + £50 + £80 = £200How much money does she have left if she spends £172 on Christmas presents?To find out the total money she will have in this situation is equivalent to the total of money she saved - £172 she spent.
£200 - £172 = £28Note: This question is incomplete because the pictogram is missing, here I attach the missing section.
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This figure is made up of a rectangle and parallelogram. What is the area of this figure.
Answer:
area of the parallelogram=6
area of the rectangle=20
total area=26 square units
Mr. Wellborn arrives at work at 8:40 AM. he leaves for work 50 minutes before he arrives. At what time does Mr Wellborn Leave for work?
Answer:
7:50
Step-by-step explanation:
Mr. Wellborn arrives 50 minutes before 8:40 so that means you subtracts 50 minutes from 8:40. 8:40-50=7:50
Therefore, the answer is 7:50
Hope this helps
Answer:
The answer is 7:50 A.M
Step-by-step explanation:
First we know that 50 is less than 40 so we subtract one hour. that get 50 so the answer is 7:50!
By the way, the person who answered this is a 3rd grader! If the answer is worng am sorry i tried my best.
The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.
Answer:
184 in.^2
Step-by-step explanation:
The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.
area of circle
[tex]A_{circle} = \pi r^2[/tex]
[tex] \pi r^2 = 46 [/tex]
[tex] r^2 = \dfrac{46}{\pi} [/tex]
[tex] r = \sqrt{\dfrac{46}{\pi}} [/tex]
[tex] r = 3.83 ~in.[/tex]
surface area of sphere
[tex] SA = 4 \pi r^2 [/tex]
[tex] SA = 4 \times \pi \times (3.83)^2 [/tex]
[tex] SA = 184~in.^2 [/tex]
Doughnuts are sold in bag and cartons. A bag holds 4 doughnuts and a carton holds 10 doughnuts. Tome buys b bags of doughnuts and c cartons of doughnuts. He buys a total of t doughnuts. Write down the formula for t in terms of b and c
Answer:
[tex]t = 4b + 10c[/tex]
Step-by-step explanation:
Given
1 bag = 4 doughnuts
1 carton = 10 doughnuts
Required
Determine the amount of doughnuts in b bags and c cartons
If 1 bag contains 4 doughnuts, then b bags contain 4b doughnuts
If 1 carton contains 10 doughnuts, then c cartons contain 10b doughnuts
So, the total (t) is calculated by adding up the amount of doughnuts in the cartons and the bags:
i.e.
[tex]t = 4b + 10c[/tex]
Official unemployment rates for the U.S. population are reported on a monthly basis by the Bureau of Labor Statistics. For the period October, 2011, through January, 2012, the official unemployment rates were 8.9% (Oct.), 8.7% (Nov.), 8.5% (Dec.), and 8.3% (Jan.). (Source: U.S. Bureau of Labor Statistics, www.bls.gov.) If the unemployment rates were to continue to decrease following a linear model, (a) predict the unemployment rate on January, 2013. (b) predict when the United States would reach a zero unemployment rate.
Step-by-step explanation:
Clearly, there is a common difference between the monthly employment rates:
8.7% - 8.9% = -0.2%
8.5% - 8.7% = -0.2%
8.3% - 8.5% = -0.2%
a) So, for every month x, the percentage will go down 0.2%, starting at 8.9%. So, we can make this equation:
y = -0.2x + 9.1, where x = 1 would be October 2011.
January 2013 is 16 months after October 2011, so:
y = -0.2(16) + 9.1
y = 5.9%
b) To find when the unemployment rate will be zero, we set the equation equal to zero:
0 = -0.2x + 9.1
-0.2x = -9.1
x = 45.5 months
So, rounding up, the U.S. would reach a zero unemployment rate in 46 months or around September 2014? Not completely sure.
