Let A= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose an element of A is randomly selected. What is the probability that it belongs to {1, 2}U{2, 6, 7, 9}U{5, 6, 7).
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Explanation:
The set {1, 2}U{2, 6, 7, 9}U{5, 6, 7} simplifies to {1,2,5,6,7,9} after we combine everything and sort the values. We toss any duplicates.
Let B = {1,2,5,6,7,9}
There are 6 items in set B out of 10 items in set A.
The probability of landing in set B, if you pick something randomly from A, is 6/10 = 3/5
Answer:
3/5
Step-by-step explanation:
can someone help me really please
Answer:
26
Step-by-step explanation:
Let x represent the missing number
[tex] 8\frac{11}{15} = 7\frac{x}{15} [/tex]
Convert both fractions to improper fractions
[tex] \frac{131}{15} = \frac{105 + x}{15} [/tex]
Cross multiply
[tex] 15(105 + x) = 15(131) [/tex]
[tex] 1,575 + 15x = 1,965 [/tex]
Subtract both sides by 1,575
[tex] 15x = 1,965 - 1,575 [/tex]
[tex] 15x = 390 [/tex]
Divide both sides by 15
[tex] x = \frac{390}{15} [/tex]
x = 26
Draw the image of under the dilation with scale factor 5/3 and center of dilation(2,-2) . Label the image .
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The center of dilation is point S, so S' is at the same location. The other points move to 5/3 of their distance from S.
find the value of x (URGENT/GIVING BRAINLIEST)
Answer:
B)10
Step-by-step explanation:
Because this is a right angle(indicated by the red box) the total measure should be 90°.
And based on that we say 5X +40=90
Subtract 40 from both sides to get 5x=50
And then divide both sides by 5 to get x=10
Answer:
x = 10°
Step-by-step explanation:
5x° + 40° = 90°
5x° = 90°-40°
5x°=50°
x°= 50°/5
x = 10°
Find M < A the diagram is not to scale
Answer:
107 i think
Step-by-step explanation:
PLS HELP ASAP !!!!!!!!!!!!
Answer:
D-780 squared inches
Step-by-step explanation:
you multiply 2(l)(w)+2(l)(h)+2(w)(h)
Answer:
Last option 780.
Step-by-step explanation:
To get the surface area for this you will need to get the area of each square that you see is in the net version. Once you do that you add them all together. Here is the math. . .
(4*25)+(4*10)+(4*25)+(10*25)+(10*25)+(4*10) = 780 total surface area.
If this looks confusing just look at the net version of the rectangular prism and you can see there is a duplicate of the different dimension triangles. These areas would be (4*25), (4*10), (10*25). There are a total of 3 different size triangles and all of them have duplicates. So we just multiply everything by 2
(4*25)+ (4*10)+(10*25) = 390 now multiply that by 2 and you get 780 again.
Hope the explanation helps :)
Help!!! what is the pattern and what is the next number 3,-9,27,-81,?
Answer:
243.
Step-by-step explanation:
they are multiplying by -3.
3x(-3)= -9
-9x(-3)= 27
27x(-3)= -81
so you would do -81x(-3) which equals 243.
Two classmates have decided to read all the volumes in a popular series of books. Carly has
already read 10 volumes and will continue to read new ones at a rate of 2 volumes per week.
Lisa, who hasn't started reading the series yet, will read 4 volumes per week. At some point,
Lisa will catch up with Carly and they will be reading the same book. How many volumes will
each girl have read by then? How long will that take?
Answer:
the volumes they would have read is 20
so it will take them 5 weeks
Step-by-step explanation:
C ( started with 10) < 12<14<16<18<20 =5 weeks
L (started with 0) <4 <8<12<16<20 = 5 weeks
for them to read the same book will take them 5 weeks and each of them would have read 20 volumes by then
working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. if it takes 40 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
Answer:
120 minutes
Step-by-step explanation:
large horse + small horse = together
1 pool/40 minutes + x = 1pool/30 minutes
1/40 + x = 1/30
subtract 1/40 from both sides
x = 1/30 - 1/40
use 120 as common denominator
x = 4/120 - 3/120
x = 1/120
x = 1 pool / 120 minutes
It takes the small horse 120 minutes
Solve for x if ab ≠ 2c
[tex]x = \frac{ac + b}{2c - ab} [/tex]
Refer to the attachment for step by step explaination.
Answer:
[tex]x=\frac{b+ax}{2c-ba}[/tex]
Step-by-step explanation:
When given the following expression, one is asked to solve for (x):
[tex]\frac{2x-a}{b}=\frac{ax+1}{c}[/tex]
Use cross products to rid the variable in the denominator,
[tex]c(2x-a)=b(ax+1)[/tex]
Simplify, distribute, multiply every term in the parenthesis by the term outside of it,
[tex]2xc-ac=bax+b[/tex]
Inverse operations, collect all terms with variable (x) on one side of the equation:
[tex]2xc-ac = bax + b\\\\2xc - bax = b + ac[/tex]
Factor, remove a like term that exists in both of these expressions,
[tex]x(2c-ba)=b+ax[/tex]
Inverse operations,
[tex]x=\frac{b+ax}{2c-ba}[/tex]
last question of the unit test
Answer:
Step-by-step explanation:
Take angle A as reference angle
using sin rule
sin A=opposite/hypotenuse
sin A=10/13
sin A=0.76
[tex]sin^{-1}[/tex] 0.76=49.46 degree
A=49.5 degree
Write an expression showing the quotient of J and 3
Answer:
j/3
Step-by-step explanation:
quotient is division
j/3
The answer I put is wrong. SO don't put that as a answer. NEED TO EXPLAIN VERY IMPORTANT
Brainleist
Answer:
Solution given:
Annie needs 250 lb of cement to fix the outer step.
Each bag hold 40 lb of cement.
Now
40 lb =1bag
we need
250lb= ? bag.
we have
no of bag =needed lb/1 bag's lb=250/40=250/40=6.25
we do not need more than 7 bags
Annie needs 7 bags.
So
The required inequality is:
b≥7.
Karen and Dale and Tom sent a total of 84 messages during the weekend. Dale sent six fewer messages and Karen and Tom sent four times as many as Karen. How many did they send each.
Answer:
Karen: 15; Dale: 9; Tom: 60
Step-by-step explanation:
"Karen and Dale and Tom sent a total of 84 messages during the weekend."
k + d + t = 84
"Dale sent six fewer messages than Karen"
d = k - 6
"Tom sent four times as many as Karen."
t = 4k
Substitute k - 6 for d and 4k for t in the first equation.
k + d + t = 84
k + k - 6 + 4k = 84
6k - 6 = 84
6k = 90
k = 15
d = k - 6 = 16 - 6 = 9
t = 4k = 4(15) = 60
Answer: Karen: 15; Dale: 9; Tom: 60
A soft drink company bottles and sells lemon iced tea. They mix 15 gallons of lemonade with 8 gallons of tea and then pour the mixture into pint sized bottles. How many pint sized bottles will this mixture produce?
Answer:
Thus this mixture contains 184 pints of Zesty lemon tea.
Identify the image of XYZ for a composition of a 150 rotation and a 30 rotation both about point y
Answer:
hlw its jess your ans is here ↑ ↓
:- 150 rotation and the other 30 rotation about the same point is equivalent to 150+30 = 180
rotation about that point
$450 at 1.4%
for 3 years
Answer:
$639
Step-by-step explanation:
$450 * .14 = 63
63 * 3 = 189
450 + 189 = 639
Teresa baked 39 cookies. her family are n of them.using n,write an expression for the number of cookies that remained
Answer:
39 - n
Step-by-step explanation:
subtract the number that the family ate from the amount baked
39 - n
Look at the triangle below which of the following represents two of the angle measures of the triangle
Answer:
x = 7
two of the angles 60 and 80
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
8x + 4 + 6x - 2 + 10x + 10 = 180 add like terms
24x + 12 = 180 subtract 12 from both sides
24x = 168 divide both sides by 24
x = 7 replace x with 7 in the equation to find the angle measures
6x - 2 = 40
10x + 10 = 80
8x + 4 = 60
Which property was used to solve the equation?
5x=20
5x/5=20/5
x=4
Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality
Which graph represents the given inequality? y > 4x + 2
PLEASE HELP I WILL GIVE BRAINLIEST AND 50 POINTS!!!
Reese has a greenhouse and is growing daisies. The table shows the average number of sunflowers that bloomed over four months:
Month 1 2 3 4
Daisies 10 13.1 16.2 19.3
Did the number of daisies increase linearly or exponentially?
Linearly, because the table shows a constant percentage increase in daisies each month
Exponentially, because the table shows that the daisies increased by the same amount each month
Linearly, because the table shows that the daisies increased by the same amount each month
Exponentially, because the table shows a constant percentage increase in daisies each month
Answer:
linearly because the table shows that the daisies increased by the same amount each month
Step-by-step explanation:
Answer:
Linearly, because the table shows that the daisies increased by the same amount each month
Step-by-step explanation:
Take the second term and subtract the first term for the output
13.1 -10 = 3.1
Do the same for the third and the second
16.2 -13.1 = 3.1
And the fourth and third
193. -16.2 = 3.1
This is a linear increase since we add the same amount each time
To solve this problem I multiplied $9.50 x 168 to figure out how much it would cost to feed the lambs. Unfortunately my answer, $1596, was incorrect. How would I solve this type of problem?
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Explanation:
That calculation you wrote out would only apply if each lamb ate 1 full bale of alfalfa.
Instead, each lamb eats 1/8 of a bale. So you'll divide the 1596 value by 8 to get 1596/8 = 199.50
This is the same as saying (1/8)*1596 = 0.125*1596 = 199.50
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Or we can think of it like this
1 day = 1/8 bale of alfalfa
168*(1 day) = 168*(1/8 bale of alfalfa)
168 days = 21 bales of alfalfa
This says that one lamb will eat 21 bales of alfalfa over the course of 168 days
At $9.50 per bale, the total cost for one lamb is 9.50*21 = 199.50 dollars
This cost applies to one lamb only. So if you had say 3 lambs overall, then you'd multiply that by 3.
Simplify the expression by distributing. 4(w+8)
a)4w + 8
b)12w
с)4w + 32
d)4(8 + W)
Answer:
Option C
4w + 4(8)
=4w + 32.
graph the number that represents the situation on a number line. please help with this question i will mark you brainliest!
Answer:
OMGGGG OMGGG I NEEDTHIS QUESTION TOOOOOO
Please help will mark BRAINLIEST!
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Explanation:
We have n = 5 sides. This means the interior angles sum up to...
S = 180(n-2)
S = 180(5-2)
S = 180(3)
S = 540
All five interior angles of this pentagon add up to 540 degrees.
PLS HELP
What is the value of (3-5) *(2) - 16+ 2?
040
0-16
O 24
O 56
Pls help quickly
What is the net price if a purchase would have come to $1,500 at the regular price, but a 3% discount applies to this purchase.
Step-by-step explanation:
100%-3%=97%
$1500*97%=$1455
PLEASE HELP!!! So the answer I got was 19.14 however that is not the correct answer. How do I solve this problem. Not sure what else to do.
Check the picture below.
so we know the radius of the semicircle is 2 and the rectangle below it is really a 4x4 square, so let's just get their separate areas and add them up.
[tex]\stackrel{\textit{area of the semicircle}}{\cfrac{1}{2}\pi r^2}\implies \cfrac{1}{2}(\stackrel{\pi }{3.14})(2)^2\implies 3.14\cdot 2\implies 6.28 \\\\\\ \stackrel{\textit{area of the square}}{(4)(4)}\implies 16 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{sum of both areas}}{16+6.28=22.28}~\hfill[/tex]
Element X is a radioactive isotope such that every 25 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 910 grams, how long
would it be until the mass of the sample reached 400 grams, to the nearest tenth of a
year?
Answer:
It will take 25.6 years for the mass of the sample to reach 400 grams.
Step-by-step explanation:
Element X is a radioactive isotope such that every 25 years, its mass decreases by half.
This means that the amount of the substance after t years can be modeled by a function in the following format:
[tex]A(t) = A(0)(0.5)^{\frac{t}{25}}[/tex]
In which A(0) is the initial amount.
Initial mass of a sample of Element X is 910 grams.
This means that [tex]A(0) = 910[/tex]
So
[tex]A(t) = A(0)(0.5)^{\frac{t}{25}}[/tex]
[tex]A(t) = 910(0.5)^{\frac{t}{25}}[/tex]
How long would it be until the mass of the sample reached 400 grams?
This is t for which [tex]A(t) = 400[/tex]
So
[tex]A(t) = 910(0.5)^{\frac{t}{25}}[/tex]
[tex]400 = 910(0.5)^{\frac{t}{25}}[/tex]
[tex](0.5)^{\frac{t}{25}} = \frac{400}{910}[/tex]
[tex](0.5)^{\frac{t}{25}} = 0.43956[/tex]
[tex]\log{(0.5)^{\frac{t}{25}}} = \log{0.43956}[/tex]
[tex]\frac{t}{25}\log{0.5} = \log{0.43956}[/tex]
[tex]t = \frac{25\log{0.43956}}{\log{0.5}}[/tex]
[tex]t = 25.6[/tex]
It will take 25.6 years for the mass of the sample to reach 400 grams.
Answer:
29.6
Step-by-step explanation: