Answer:
5/6
Step-by-step explanation:
What is the equation of the line that passes through the point (-3, 7) and has a
slope of —3
Answer:
y=-3x-2
Step-by-step explanation:
Equation of a line is y=mx+b, where m is the slope given, -3.
Y=-3x+b
To find b, sub in the points (-3,7) for x and y in the equation
7=-3(-3)+b
7=9+b
-2=b
If y=10 and the equation is 60=6y is it true or false 
Answer:
The answer would be true.
Step-by-step explanation:
Since 10 equals y that means that 60=6y is true because 6x10 is 60.
Solve for g.............
Answer:
G = 3
Step-by-step explanation:
Answer:
g=3
Step-by-step explanation:
reverse the whole question:
so all the minus would convert into an addition sign
hope that helps
please mark as brainliest if correct
have a great day/night.
thank you
19NBoli
15 players for a softball team show up for a game: (a) How many ways are there to choose 10 players to take the field? 3003 (b) How many ways are there to assign the 10 positions by selecting players from the 15 people who show up? 3003 (c) Of the 15 people who show up, 5 are women. How many ways are there to choose 10 players to take the field if at least one of these players must be a woman?
Answer:
(a) 3003 ways
(b) 10897286400 ways
(c) 3002 ways
Step-by-step explanation:
Given
[tex]n = 15[/tex] --- 15 players
Solving (a) Ways of selecting 10 players.
This implies combination.
So, we have:
[tex]r=10[/tex]
Using:
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
We have:
[tex]^{15}C_{10} = \frac{15!}{(15-10)!10!}[/tex]
[tex]^{15}C_{10} = \frac{15!}{5!10!}[/tex]
Simplify
[tex]^{15}C_{10} = \frac{15*14*13*12*11*10!}{5!10!}[/tex]
[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5!}[/tex]
[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5*4*3*2*1}[/tex]
[tex]^{15}C_{10} = \frac{360360}{120}[/tex]
[tex]^{15}C_{10} = 3003[/tex]
Solving (b) Ways of assigning positions to 10 players.
This implies permutation.
So, we have:
[tex]r=10[/tex]
Using:
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
We have:
[tex]^{15}P_{10} = \frac{15!}{(15-10)!}[/tex]
[tex]^{15}P_{10} = \frac{15!}{5!}[/tex]
Solve each factorial
[tex]^{15}P_{10} = \frac{1307674368000}{120}[/tex]
[tex]^{15}P_{10} = 10897286400[/tex]
Solving (c) Ways of choosing at least 1 woman
We have:
[tex]Men = 10[/tex]
[tex]Women = 5[/tex]
Ways of selecting 10 players is: (a) 3003 ways
Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)
Using complement rule:
At least 1 woman = Total - No woman
[tex]At\ least\ 1\ woman = 3003 - 1[/tex]
[tex]At\ least\ 1\ woman = 3002[/tex]
Find the 96th term of the arithmetic sequence 1, -12, -25, ...
Answer:
The 96th term of the arithmetic sequence is -1234.
Step-by-step explanation:
first term (a)=1
second term (t2)=-12
common difference (d)= t2-a
d=-12-1
d=-13
96th term (t96)=?
We know that,
t96=a+(n-1)d
t96=1+(96-1)(-13)
t96=1+95(-13)
t96=1-1235
t96=-1234
Tulungan niyo po Ako sa module po sa Math
Step-by-step explanation:
1a)you are asked to find the number of girls and boys who received prizes
1b)The given facts are that out of 60 pupils, 40 being boys, 20 being girls, joined a Math Quiz competition. 20%of boys and 15 of girls received prizes.
1c)40 boys +20 girls=60 pupils.
1d) Find the number of girls and boys that re ceived prizes
20% of 40 boys
20/100 ×40= 8 boys won prizes
15% of 20 girls
15/100×20=3 girls won prizes
1d) 8 boys+3 girls=11 pupils won prizes
2
Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost ſ of
a dollar each hour when the shop was closed. The expression that models this situation is 45 - an what was Sierra's
profit if the shop was closed for 6 hours?
$24
O $36
O $41
$49
Answer:
if shes losing 2/3 each hour, the her profit would be 41.
Step-by-step explanation:
2/3 x 6 is 4, 45 - 4 is 41.
help me pleaseee. I don’t understand why this wrong so it would be great if you could help?
Answer:
-4x + 5y = 40
Step-by-step explanation:
- move the expression to the left, so you want to get y - 4/5x = 8
- multiply both sides so you get 5y - 4x = 40
- reorder the terms so you get -4x + 5y = 40
personally, I would change the signs afterwards to get 4x - 5y = -40, but the last thing I wrote was what was shown in that picture you sent. hope this helped :)
Rebecca ran 12 1/4 mile in 2 1/2 hours what was your average speed in miles per hour
Answer:
Your average speed was 3.29 Miles per hour (mph)
Please Consider Marking Brainliest.
The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?
5 cubic units
40 cubic units
55 cubic units
60 cubic units
Answer:
40 cubic units
Step-by-step explanation:
What is the equation of the line of best fit?
A.
y = 5x + 25
B.
y = x + 25
C.
y = 5x + 5
Answer:
y=5x+25
Step-by-step explanation:
The slope is (30-25)/(1-0)=5.
Also, the y-intercept is 25.
So, the equation is y=5x+25.
PLS HELP I WILL MARK BRAINLIEST
Four more than 5 times the number x is less than 50. Write an inequality for this statement.
Answer:
5x<50
Step-by-step explanation:
Answer:
Step-by-step explanation:
5n < 50 <--- subtracts 4 from both sides
n < 10 <--- divides both sides by 5
Check: testing n=0, we have 4 + 5(0) = 4 + 0 = 4 < 54, so yes it works
testing n=10, 4 + 5(10) = 4 + 50 = 54.
testing n=11, 4 + 5(11) = 4 + 55 = 59 <--- fails as expected.
X < 10, proven, verified, correct
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water and the water rises 3.4 cm. Find the volume of the stone.
Please and thank you!
Answer:
1356cm3
Step-by-step explanation:
when the stone is dropped in to the water the new height is 17.4cm(14+3.4)
find the volume when the height is 14cm and when the height is 17.4cm
24*14*17.4=4716
24*14*14=3360
then subtract the two volumes
4716-3360=1356cm3
Answer:
816 cm^3
Step-by-step explanation:
First you want to find the volume of the container with the stone, and then without the stone.
The formula for finding the volume of a rectangular container is V= l x w x h
We substitue in:
With stone:
V= 24cm x 10 cm x (14+3.4 cm)
V= 4,176 cm^3
Without stone:
V= 24 cm x 10 cm x 14 cm
V= 3,360 cm^3
Then, you want to subtract the two volumes to get the stone by itself.
4,176 - 3,360= 816 cm^3
Hope this helps!
PS- I think the answer above me got their numbers mixed up, but they had the right idea.
During the first week of registration, 35 people signed up for the Health Fair 5K and Fun
Run. The next week, 28 more people signed up. On the day of the race, 12 runners did not
show up. However, at the last minute 16 people came in for late registration. Which
expression shows how many people ran in the 5K and Fun Run
Answer:
The expression that shows how many people ran in the race is 35 + 28 - 12 + 16 = X, and the number of people that ran is 67.
Step-by-step explanation:
Since during the first week of registration, 35 people signed up for the Health Fair 5K and Fun Run, and the next week, 28 more people signed up, and on the day of the race, 12 runners did not show up but, however , at the last minute 16 people came in for late registration, to determine which expression shows how many people ran in the 5K and Fun Run and determine said amount, the following calculation must be performed:
35 + 28 - 12 + 16 = X
79 - 12 = X
67 = X
Thus, the expression that shows how many people ran in the race is 35 + 28 - 12 + 16 = X, and the number of people that ran is 67.
The figure below is step 1 for drawing what type of solid
Answer:
hexagonal prism
Step-by-step explanation:
has 6 sides
A car presently valued at 12 000 depreciates at 10 % per annum .What will be the value of the car one Year later ?
Answer:
10'800
Step-by-step explanation:
Car initial price= 12000
Depreciation= 10% or 0.10 per year
Car final price= Initial price-(Initial price/depreciation)
Car final price= 12'000-(1'200)
Car final price= 10'800
I do not have an answer to this question: Keith buys a bad of dog food. The bag contains 16 1/2 cups of food. If his dog eats 1 3/8 cups a day, how long will the bag last?
Answer:
12 days
Step-by-step explanation:
3/8=.375
16.5 divided by 1.375 equals to 12. I hope that helps.
Convert: 2,640 yards miles and yards
Answer:
1.5 miles
Step-by-step explanation:
Formula
divide the length value by 1760
Hope it helps you!
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I'm willing to help
I need a little help. Stuck in the problem in khan academy and can’t really find and answer. 6 x 4 + 2 x 9/3
Answer:
the answer is 30
Step-by-step explanation:
1: (6*4)+(2*9/3)
2: (6*4)+(2*3)
3: 24+6
4: 30
Answer:
30
Start by multiplying then dividing
14 Emma scored a 76, 90, 83, 95, 88, 96, 94, 96, 98, and 96 on her science tests last quarter. What is the mean absolution deviation of the data? Round to the nearest tenth
Answer:
the answer's 5.6
5.56 but rounded its I think 5.6
don't trust my answer.
4x+6y-8 equivalent to what
Answer:
c
Step-by-step explanation:
2(2x+3y)
as 4x+6y
hope this helps and makes sense
8000 people attended a football
match in a
stadium the prices
of
tickets were $50.00 for vip and
$30.00 for popular stand. If the
total events revenue from sale of
the tickets was $250,000. Find
each
th number of tickets sold
for each
stand
Answer:
Step-by-step explanation:
Okay, so this is impossible to tell the amount of spaces, but let's say it was 4000 for VIP and 4000 for Popular Stands. Multiply $30 by 4000, and you get $120k Earnings. To check your answer, Divide 120,000 by 4000, and you get $30 for each stand.
Now, let's move on with the VIP stands. A VIP Stand costs $50, so 4,000 x $50 = $200k earnings. To check your answer, divide 200,000 by 4000, and you get $50 for each VIP Stand.
If you need to find each variant, go by 1k seat increments, i.e. 1000 and 7000, 2000 and 6000, etc.
Glad I could help!
-Vibilities
simplify 18/13-2/13 I cant figure it out plz help
Answer: 1 3/13
Step-by-step explanation:
Plzzzz help me to find the answer
Answer:
im pretty sure its 67, sorry if I'm wrong
6.632.512 what is the value 3
Answer:
HEHEHEH I NEED POINTS-
Step-by-step explanation:
Suilin needed 7 dollars 13 cents to buy a book. In her wallet, she found 3 dollar bills, 4 dimes, and 14 pennies. How much more money does Suilin need to buy the book?
Answer:
$3.49
Step-by-step explanation:
Solve y = x2-5 for x.
A. X = y +5
B. X=-+ y-5
C. X = y-5
D. X = -+ y+5
y = x^2 - 5
y + 5 = x^2
(Now you need to square root both sides)
√y+5 = x
x = PLUS OR MINUS √y + 5
Jon was at a football match.
The match ended at 16:55
Jon got back to his car in the car park 15 minutes after the match ended.
He drove out of the car park 10 minutes later.
It then took him 45 minutes to drive home.
Did Jon get home before 18 00?
You must show how you get your answer.
Answer:
no he will make it home at 18:15
Step-by-step explanation:
[tex]4:55+15=5:10\\5:10+10=5:20\\5:20+45=6:15[/tex]
The cost of 5 tables and 20 chairs is $4865. The cost of 7 tables and 40 chairs is $7780. Find the cost of each table (t) and each chair (c).
Answer: Chair is $1600
Table are 5 pieces
A nurse is investigating the birth weights of non-premature babies. She selects a random sample of 41 such babies, and found a mean weight of 3506.4 grams and a sample standard deviation of
494.2 grams. Find a 95% confidence interval for the mean birth weight of all non-premature babies. Show your calculation for the confidence interval as well as the final confidence interval rounded to one decimal place. Then write a sentence that gives the interpretation of your confidence interval, including the correct units.
Answer:
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 41 - 1 = 40
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0211
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0211\frac{494.2}{\sqrt{41}} = 156[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3506.4 - 156 = 3350.4 grams
The upper end of the interval is the sample mean added to M. So it is 3506.4 + 156 = 3662.4 grams
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.