Answer:
There are 24 ways to select one book of each type.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
It is provided that there are 6 different biographies and 4 different mystery novels on a bookshelf.
Compute the number of ways to select a biography as follows:
Number of ways to select a biography =
[tex]={6\choose 1}\\\\=\frac{6!}{1!(6-1)!}\\\\=\frac{6\times 5!}{1\times 5!}\\\\=6[/tex]
There are 6 ways to select a biography.
Compute the number of ways to select a mystery novel as follows:
Number of ways to select a mystery novel =
[tex]={4\choose 1}\\\\=\frac{4!}{1!(4-1)!}\\\\=\frac{4\times 3!}{1\times 3!}\\\\=4[/tex]
There are 4 ways to select a mystery novel.
Then the total number of way to select one book of each type is:
[tex]{6\choose 1}\times {4\choose 1}=6\times 4=24[/tex]
Thus, there are 24 ways to select one book of each type.
Can somebody solve this...
Answer:
J-12-16KL(-12, -16)MOSorry. I cannot really the points and graphs clearly.
I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!
Which property is illustrated?
15 + (5 + 7) = (15 + 5) + 7
distributive property
identity property of addition
commutative property of addition
associative property of addition
Answer:
distributive property
Answer:
associative property
Step-by-step explanation:
The associative property states that you can reorder or regroup numbers and still get the same answer. In this example, we are regrouping the numbers (parenthesis around different numbers)
I really don't understand this. Can someone help me.
Answer:
Step-by-step explanation:
sum of angles of a polygon=(n-2)*180
S=(n-2)*180
n=13
S=(13-2)*180
=11*180
=1980°
2.
sum of angles=95+140+120+75+130+115+80
=750
again sum of angles of a heptagon=(7-2)×180
=5×180
=900
so these can,t be angles of heptagon.
3.
external angle of heptagon=360÷10=36
internal angle=180-36=144°
it is a convex polygon.
4.
external angle=360÷9=40°
internal angle=180-40=140°
it is a convex polygon.
5.
external angle=360÷5=72°
internal angle=180-72=108°
it is a convex polygon.
Two cylinders are shown below which cylinder has a greater volume use 3.14 for pi
Answer:
Cylinder Q has a greater volume
Step-by-step explanation:
For this question we need to utilise the volume of a cylinder which is
→ Volume of a cylinder = π × r² × h
Let's substitute in the values and then do the analysis
Cylinder P
→ Volume of a cylinder = π × r² × h
⇒ Substitute in the values
→ Volume of a cylinder = π × 4.25² × 14
⇒ Simplify
→ Volume of a cylinder = 794.430242277
The volume of cylinder P is 794.430242277
-------------------------------------------------------------------------------------------------------
Cylinder Q
→ Volume of a cylinder = π × r² × h
⇒ Substitute in the values
→ Volume of a cylinder = π × 7² × 8.5
⇒ Simplify
→ Volume of a cylinder = 1308.47334022
The volume of cylinder Q is 1308.47334022
-------------------------------------------------------------------------------------------------------
We can see that cylinder Q has a greater volume
Mr W. is having a yard sale, where he is selling iPad chargers and wireless keyboards. At the end of the day, he knows he sold a maximum of 14 items, and he earned a total of $342. If he charged $18 for each iPad charger (x) and $38 for each keyboard (y), write a system of inequalities that models this situation.
(b) graph that system of inequalities
(c) is it possible he sold 11 iPad charges and 3 wireless keyboards? explain based on your graph
Answer:
i dont get it
Step-by-step explanation:
what is 4(2 + a) = 24?
Look at the attached picture
Hope it will help you
Answer:
a = 4
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 8 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
4 (2 + a) = 24
→ Expand the brackets
8 + 4a = 24
→ Minus 8 from both sides to isolate 4a
4a = 16
→ Divide both sides by 4 to isolate a and therefore find the value of a
a = 4
→ We can substitute a = 4 back into 4 (2 + a) = 24 to see if we have the correct solution, if we end with the same number on both sides then a =4 is correct.
4 (2 + a) = 24
4 (2 + 4) = 24
4 × 6 = 24
24 = 24
So a = 4 is correct
4 (2
Can anyone help me on this?
Answer:
45 feet
Step-by-step explanation:
To find the hypotenuse of that triangle, you would have to do 81-28, because that's the portion that snapped. That equals 53.
Then, we can apply the Pythagorean theorem: a^2+28^2=53^2
a^2=2025
a=45
Therefore, 45 feet
I hope this helped! Have a good rest of your day!
Long multiplication:
What is 567 x 241
Please show your work and thanks if you can spare some time to answer.
Answer:
Step-by-step explanation:
Solve for b.
–2b = 11b + 13
The value of b is -1
look at the attached picture
Hope it will you
Good luck on your assignment
In Crista’s class, 8 students have blonde hair, 14 have brown hair, 3 have black hair, and 2 have red hair. If one student is chosen at random, it is that the student has blonde hair, it is that the student has brown hair, it is that the student has black hair, and it is that the student has red hair.
Answer:
In Crista’s class, 8 students have blonde hair, 14 have brown hair, 3 have black hair, and 2 have red hair. If one student is chosen at random, it is
unlikelythat the student has blonde hair, it is
neither likely nor unlikelythat the student has brown hair, it is
unlikelythat the student has black hair, and it is
unlikelythat the student has red hair.
Answer:
In Crista’s class, 8 students have blonde hair, 14 have brown hair, 3 have black hair, and 2 have red hair. If one student is chosen at random, it is
unlikely
that the student has blonde hair, it is
neither likely nor unlikely
that the student has brown hair, it is
unlikely
that the student has black hair, and it is
unlikely
that the student has red hair.
Step-by-step explanation:
The data set represents the prices for a full tank of gasoline for different motorcycles:
$19, $18, $15, $17, $19, $12, $19 and $15
What is the range of prices?
a
$7.00
b
$17.50
c
$16.75
d
$19.00
Answer:
The answer would be A. $7.00!
Step-by-step explanation:
To find range subtract the lowest amount from the highest, the difference will be your answer.
-Algebra FWISD
What is the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form?
Answer:y=50
Slope is zero
Step-by-step explanation:
50-50/25--25=0/50=0
Answer: y=50
Step-by-step explanation:
did it on edge 2020
NEED HELP ASAP ON TIMER 30 MINUTES LEFT
find the least common multiple (lcm) of:
25y^5 and 5xy and 2x^3y
Answer:
50 x^3 y^2
Step-by-step explanation:
25y^5 = 5*5 * y*y
5xy = 5*x*y
2x^3y = 2*x*x*x*y
The least common multiply is found by taking the least number of times each appears
5 appears 2 times
2 appears 1 time
x appears 3 times
y appears 2 times
5*5*2 * x*x*x * y*y
50 x^3 y^2
Answer:
50 x^3 y^2
Step-by-step explanation:
25y^5 = 5*5 * y*y
5xy = 5*x*y
2x^3y = 2*x*x*x*y
The least common multiply is found by taking the least number of times each appears
5 appears 2 times
2 appears 1 time
x appears 3 times
y appears 2 times
5*5*2 * x*x*x * y*y
50 x^3 y^2
1.
William has the following data:
J, 14, 7, 16, 16
If the mean is 12, which number could j be?
Answer:
7
Step-by-step explanation:
The mean is the average of the numbers. Add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
7 + 14 + 7 + 16 + 16 = 60
60 / 5 = 12
if the vertex of a parabola is (0, 3), what is the axis of symmetry
Answer:
The equation of the axis of symmetry for this parabola is x = 0.
Step-by-step explanation:
For parabola's, it's axis of symmetry always goes through the vertex of the parabola. In other words, the axis of symmetry is vertical line that goes through the x-coordinate of the vertex.
Now, the vertex is given as (0,3) which is at x = 0, y = 3.
Thus, the vertical line that goes through the x-coordinate of the vertex will be x = 0
Thus, the equation of the axis of symmetry for this parabola is x = 0.
A bag of marbles contains 8 yellow marbles, 6 blue marbles, 4 red marbles, and 2 green marbles. Two marbles are chosen at random, WITHOUT replacement. What is the probability a red marble is chosen and then a blue marble?
Answer:
6/95
Step-by-step explanation:
First, let's find the total # of outcomes. There are 8+6+4+2 = 20 marbles in the bag. We have 20 options for the first draw, and 19 for the second. 20*19 = 380 total possible outcomes.
Now, let's fin the successful outcomes. There are 4 red and 6 blue marbles, so 4 for the firs tpick and 6 for the second pick. 4*6 = 24 successful outcomes. To find probability, we do successful outcomes/total outcomes, and in this case, that is 24/380, or 6/95. Hope that helps!
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...
There are 19 people on a basketball team, and the coach needs to choose 5 to put into
a game. How many different possible ways can the coach choose a team of 5 if each
person has an equal chance of being selected?
Answer:
197676 diff possible ways
Step-by-step explanation:
Combination because order doesn't matter.
19!/(19-5)!*5!=19!/14!*5!=19*18*17*16*15*14!/14!*5!=19*18*17*17*16*15/5!=23721120/5*4*3*2=23721120/120=197676
water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.
the depth of the water increases linearly
please help soon I have been stuck on this problem for a really long time.
at 1:30 pm the water depth was 2.4ft
it is now 4:00 and the water depth is 3.9 ft
what will the water depth be at 5:00?
Answer:
The depth of water at 5:00 is 4.5 ft.
Step-by-step explanation:
Depth of water at 1:30 PM = 2.4 ft
Depth of water at 4:00 PM = 3.9 ft
Change in time = 4 - 1:30 = 2.5 hours
Depth increased in 2.5 hours = 3.9 - 2.4 = 1.5 ft
Now, we are given that the depth of water is increasing linearly, so after 4:00 PM as well, the water depth will keep on increasing with the same rate as that of previous time intervals.
We have to find out the depth at 5:00 PM i.e. we need to find out the increase from 4:00 PM to 5:00 PM (1 hour) and then add it to depth at 4:00 PM.
Depth increased in 2.5 hours = 1.5 ft
Depth increased in 1 hour = 1.5 / 2.5 = 0.6 ft
Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour
[tex]\Rightarrow[/tex] 3.9 + 0.6 = 4.5 ft
Depth increased in 2.5 hours = 1.5 ft
So, The depth of water at 5:00 is 4.5 ft.
The depth of water at 5:00 is 4.5 ft.
Given that,
Depth of water at 1:30 PM = 2.4 ft Depth of water at 4:00 PM = 3.9 ft Si, Change in time = 4 - 1:30 = 2.5 hoursNow
Depth increased in 2.5 hours is
= 3.9 - 2.4
= 1.5 ft
Depth increased in 1 hour = [tex]1.5 \div 2.5[/tex] = 0.6 ft
Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour
= 3.9 + 0.6
= 4.5 ft
Learn more: https://brainly.com/question/25914450?referrer=searchResults
A bag of sweets contains coca cola bottles , milk bottles and jellybeans at a ratio of 3:7:5 there are 6 coca cola bottles how many milk bottles are there how many jelly beans are there
Answer:
Coca cola bottles = 6
Milk bottles = 14
Jellybeans = 10
Step-by-step explanation:
We are given that a bag of sweets contains coca cola bottles, milk bottles and jellybeans.
The ratio of these sweet bottles is given as,
3:7:5
It is known that there are 6 coca cola bottles.
We are asked to find the quantity of milk bottles and jellybeans.
Coca cola bottles:
Since the ration is 3:7:5
3 parts of coca cola bottle = 6
1 part of coca cola bottle = 6/3 = 2
Milk bottles:
So 7 parts of milk bottle = 7*2 = 14
Jellybeans:
So 5 parts of milk bottle = 5*2 = 10
Therefore,
Coca cola bottles = 6
Milk bottles = 14
Jellybeans = 10
Verification:
6:14:10
Simply the ratio by dividing it with 2
3:7:5
Which reduces to the given ratio hence results are correct.
Which are the solutions of x2 = –13x – 4?
dont gime bs just answer it
85 points btw
Step-by-step explanation:
Step 1: Add 13x to both sides
[tex]x^2 + 13x = -13x + 13x - 4[/tex]
[tex]x^2 + 13x = -4[/tex]
Step 2: Add 4 to both sides
[tex]x^2 + 13x + 4 = -4 + 4[/tex]
[tex]x^2 + 13x + 4[/tex]
Step 3: Use Quadratic Formula
[tex]x = \frac{ -b \pm \sqrt{ b^2 - 4ac } }{2a}[/tex]
[tex]x = \frac{ -(13) \pm \sqrt{ 13^2 - 4(1)(4)} } { 2(1)}[/tex]
[tex]x = \frac{-13 \pm \sqrt{153}}{2}[/tex]
[tex]x = \frac{-13\pm3\sqrt{17} }{2}[/tex]
Answer: [tex]x = \frac{-13\pm3\sqrt{17} }{2}[/tex]
Answer:
-0.3 and - 12.7
Step-by-step explanation:
Rewrite in quadratic form:
x2 + 13x + 4 = 0
The best approximations, given the options, are 0 and - 13
The actual solution is -
How is the surface area of any prism determined?
Answer:
In order to find the surface area, you will need to add up the areas of each face of the prism. ... In this prism, the length is also the side of the hexagon, and the width of the rectangle is the height of the prism. Now, multiply the area of the rectangle by to find the total area of all of the sides of the prism.
Step-by-step explanation:
-3/4j+1/5=3/6
Can someone help me find j
Answer:
j= -0.4
Step-by-step explanation:
multiply both sides by 60
=45j(+12)=30-12
take the 12 ti the right hand side and the sign changes
= -45j=18 then divide by 45 on both sides
j= -2/5
j= -0.4
answer quick for brainliest!
A
Step-by-step explanation:
A furnace operates at 2,300°F. Before it can be used to extract metal from an ore, the temperature must be raised to 3,600°F. This takes place at a rate of 250°F per quarter-hour. Identify the slope and y-intercept in an equation for the temperature in terms of x quarter hours.
Enter your answer using the equation y=mx+b
Answer: google will help
Step-by-step explanation:
Help me with question 20 for brainliest
Answer:
Step-by-step explanation:
%of water=70%(100-30)
percent to be attained=86%(100-14)
difference in %=86-70%
=16%
literes of water=16%of 125l=20literes
hope this helps
plzz mark me brainliest
If you roll two fair six-sided dice, what is the probability that the dice show the same number
Answer:
6/36
Step-by-step explanation:
Trust me I got it right on Khan academy :)
Answer:
6/36
Step-by-step explanation:
I got it right too on khan academy
2 triangular prisms and a cube. The cube is 2 by 2. The triangular prisms have rectangular sides of 3 by 5, 3 by 3, and 3 by 4. The triangular sides have a base of 3 and height of 4.
To find the surface area of the figure shown, Mia found the surface area of the two triangular prisms and the rectangular prism. From this, Mia subtracted 6 ft2. Did Mia make an error?
Mia should have subtracted 16 square feet.
Mia needs to subtract another 6 square feet.
Mia must calculate each triangle separately.
There is no error—Mia is correct.
Answer:B. Mia needs to subtract another 6 square feet.
Step-by-step explanation:
Answer:
yeah the dude above me is right
Step-by-step explanation:
b r u h moment compilation #27
what is the series written in sigma notation?
Answer:
Correct option: D
Step-by-step explanation:
First we need to find the rate of the series, and we can do that subtracting one term by the term before:
Second term minus first: 13/10 - 1/2 = 13/10 - 5/10 = 8/10 = 4/5
Third term minus second: 21/10 - 13/10 = 8/10 = 4/5
So the series increases by 4/5 for every term, and the first term is 1/2
We also need to find the number of terms of this series.
The last term is 93/10, so we have that:
1/2 + (4/5)*k = 93/10
(4/5)k = 88/10
k = 11
The index of the summatory should go from 0 to 11.
So the correct option is D
So i have a assignment that i have to and i wondering if you guys could help me:
Title of Section: Describe all numbers that satisfy both inequalities. Include a graph with your description.
A museum charges $7 per visitor. The museum has already admitted 37 visitors. Write and solve an inequality to find how many more visitors the museum needs to admit to make at least $450.
And i don't understand please help
Answer:
28 more people to reach 450
Step-by-step explanation:
450/7≈65(the total number of money the need divided by ticket price to see how many total people they need)
37*7=259 (the people they have already gotten times ticket price to find how much more they need)
450-259= 191 (what they need altogether miinus what they already have)
191/7≈28 (how much more money they need divided by ticket price, 28 is more ticket they need to sell)
does this make sense
Find the solution of -x-2-10x=25
Answer:
X=-2.45
Step-by-step explanation:you have to combine the x's which gives you -11x-2=25 so then you have to add two to 25 and it leaves you with -11x=27 and then you just divide 27 by -11 and x is -2.45
Answer:
x = -5
Step-by-step explanation:
start with factoring
-x^2 - 10x - 25 = 0 (i moved 25 to the left side)
then you can multiply the entire equation by -1 to get rid of the negative sign
x^2 + 10x + 25 = 0
now 5x5 = 25 and 5+5 = 10.
so (x^2 + 5x + 5x + 25) = 0
x(x+5) 5(x+5) = 0
(x+5)(x+5) = 0
(x+5)^2 = 0
so x = -5