[tex]\huge \bf{Question:-}[/tex]
What is the fraction of 100 and 3,000.
[tex]\huge\bf{Answer:-}[/tex]
[tex] \bf{ \frac{100}{3000} } \: simplified \: to \: lowest \: term \: is : - [/tex]
[tex] \bf \pink{ \frac{1}{30}} [/tex]
If the above cube is a container with an inside length of 25cm, how many
3.3.3
litres will it hold?
Answer:
Capacity of cube in liter = 15.625 liter
Step-by-step explanation:
Given:
Side of cube = 25 cm
Find:
Capacity of cube in liter
Computation:
Volume of cube = Side³
Volume of cube = 25³
Volume of cube = 15,625 cm³
We know that
1 cm³ = 0.001 liter
Capacity of cube in liter = Volume of cube in cubic cm x 0.001
So,
Capacity of cube in liter = 15,625 x 0.001
Capacity of cube in liter = 15.625 liter
Helpppppppp me plzzzzzzz
Answer:
Length of Line AC = 26 units
Step-by-step explanation:
Given:
Line AC = [3x + 1] + 8
Line BC = [x - 2] + 2
Find:
Length of Line AC
Computation:
Line AB ║ Line L
So,
Using Mid-Point theorem;
[3x + 1] / 8 = [x - 2] / 2
2[3x + 1] = 8[x - 2]
6x + 2 = 8x - 16
8x - 6x = 16 + 2
2x = 18
x = 9
So,
Line AC = [3x + 1] + 8
Line AC = [3(9) + 1] + 8
Line AC = [27 + 1] + 8
Line AC = 28 + 8
Length of Line AC = 26 units
is (0,0) a solution to this system
is (0,0) a solution to what system?
Oscar bought 12 lunches for 30$ what was the unit cost
prove that (Cos A +cosB)^2+(SinA+sinB)^2=4cos^2(A-B/2)
Answer:
[tex](cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})[/tex]
Hence proved .
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 387 drivers and find that 298 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle up.
Answer:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 387 drivers and find that 298 claim to always buckle up.
This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]
84% confidence level
So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
WORTH 20 POINTS
Use the volume formula to find the volume of the prism.
A. 9 cubic units O
B. 18 cubic units
C. 4 cubic units O
D. 7 cubic units
9514 1404 393
Answer:
A. 9 cubic units
Step-by-step explanation:
We interpret the smudges in your attachment to be dimensions of 1 1/2, 4, and 1 1/2. The volume is the product of these.
V = LWH
V = (4)(1.5)(1.5) = 9 . . . . cubic units
The volume of the prism is 9 cubic units.
what is 12.92÷10 to the power of five
than you
Answer:
0.0001292
Step-by-step explanation:
a raised to the power -m is 1/a raised to power m
The spread of a rumor in a town can be modeled as , where N is the number of people who have heard of the rumor, and t is time (in days). How long will it take until 2000 people know about the rumor?
Answer:
the time is 16 days
Step-by-step explanation:
The computation of the time period is given below:
N = 500 √t
2000 = 500 √t
√t = 4
Now do the square on both the sides
SO,
t = 16
Hence, the time is 16 days
We simply applied the above method to determine the time period
Can someone please help?
Joey, Mikey, and Anna each bought an equal number of comic books. If Anna
went home with six comic books, how many did the group buy?
Answer: 6, 2, 12, 18 I NEED HELP PLEASE
Answer:
the group bought 18 comic books.
Step-by-step explanation:
It says that Anna went home with 6 comic books and there are 3 people (Joey, Mikey, and Anna). So if Anna bought 6 comic books, Joey also bought 6 books and Mikey also bought 6 books. 6 + 6 + 6 = 18
Hope this is helpful
How does the distance traveled and time elapsed compare for Carrie and Kevin as they traveled from mile marker 225 to mile marker 230?
Answer:
This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker
Step-by-step explanation:
Given
See attachment for graph
Required
Compare the distance and time travel
From the attached graph, we have the origin to be (0,0).
This represents the mile marker 225
Mile marker 230 is represented by point 5 on the y-axis.
Kevin's line at point 5 is represented as: (16,5)
Carrie's curve at point 5 is represented as: (16,5)
Both points are equal; i.e.
[tex](16,5) =(16,5)[/tex]
This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker
What is m∠A?
Help plz
Answer:
66
Step-by-step explanation:
180 - 57-57
A die is rolled 2 times. What is the probability of getting a 2 on the first roll and a 5 on the second roll?
Answer:
1/36
Step-by-step explanation:
the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.
So, 1/6 * 1/6 = 1/36
Hope this is helpful
Answer:
Step-by-step explanation:
six sided die gives you 6 possibilities
probability of rolling a 2 is 1/6
probability of rolling a 5 on the second roll is 1/6
divide k800. in the ratio of 5:3
Answer:
k500: k300
Step-by-step explanation:
5 parts :3 parts
there are 5+3=8 parts in total
800 divide by 8 parts = 100 in each part
k800 is 5:3 is k500: k300
6x-5
Step-by-step explanation:
4/5÷4/10
12×2 -64×-11,×+1
×3-×2+7×
___________
6x-5 answer
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
5t+t–2t
Answer:
4t
Step-by-step explanation:
Note that teach term has the variable t in it. Also, note that if t is by itself, it actually means 1t. Combine the given constants:
5t + 1t - 2t
= (5t + 1t) - 2t
= (6t) - 2t
= 4t
4t is your answer.
~
Order from least to greatest
1/8, 11/12, 9/8
Answer:
Step-by-step explanation:
First make the denominators the same.
Take the LCM of (8, 12 , 8) = 24
So,
[tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8} \ becomes \ \frac{3}{24}, \frac{22}{24}, \frac{27}{24}[/tex]
[tex]Order \ from \ least \ to \ greatest \ \\\\\frac{3}{24} < \frac{22}{24} < \frac{27}{24}[/tex]
That is,
[tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8}[/tex]
Solve the following equation for x: 6( 4X +5) = 3( X +8) +3
Answer:
x= -1/7
Step-by-step explanation:
Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?
2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?
3) Who had the higher initial height? What was it?
Answer:
1) claire's stone at 1.25 seconds
2) 0.5 seconds and its max height was 9
3) lin at 8ft
Step-by-step explanation:
the intercepts tell you the first and third question and then the max height is the highest point on the graph
not sure what measurements you were supposed to use so I used seconds and feet and if that's not it then it's the same numbers just different words
Question 20
Josh says that has the same quotient as Is this true or false?
O True
O False
Can someone explain to me the Laws of Sine and Cosine. Will mark brainliest.
Answer:
here you are
i hope it helps! :)
Step-by-step explanation:
(t+5)(t+2),make t the subject of the formula
Answer:
t= 2p+5/p-1
Step-by-step explanation:
The question is not well writen
Assume p = t+5/t-2
We are to make t the subject of the formula
Cross multiply
p(t-2) = t+5
pt - 2p = t+5
pt - t = 2p+5
t(p-1) = 2p+5
t= 2p+5/p-1
Hence the value of t is 2p+5/p-1
Find the slope on the line?
Answer:
slope=0
Step-by-step explanation:
Hi there!
We're given a graph with a line and two marked points on the graph: (-1,3) and (3,3)
the formula given for slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points
we have our two points: (-1,3) and (3,3) and we can label them:
x1=-1
y1=3
x2=3
y2=3
now substitute into the formula
note: Remember the formula shows SUBTRACTION, even though we have NEGATIVE numbers. When we simplify, we'll add the numbers.
slope=(3-3)/(3--1)
simplify
slope=0/4
divide
slope=0
Hope this helps!
10 points will give brainliest
Answer:
A. 9/2 × 3/8
Step-by-step explanation:
______________
rearrage and solve 4t-s-2t+25
Answer:
See the image below for the answer:)
Step-by-step explanation:
Can somebody help me with this
Answer:
0.04997916927
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
arcsin(0.5) deg
= 30
What is the M.A.D. of this data set? 3,6,6,7,8,11,15,16
the answer is 8 because it was in the middle
it's 8
PLS HELP ASAP! WILL GIVE U BRAINLIEST
Valid or Invalid: If a number is even, then it is a multiple of 4.
A. Invalid
B. Valid
Answer:
valid
Step-by-step explanation:
it's valid because for example here are some even numbers, 0, 2, 4, 6, 8, they're are all multiples of four.
hope that helped :)
mark me brainliest pls
Determine how many people will fit in a building with a width of 105 feet and a length of 250 feet, if we use a standard of 16 people per 25 square feet.
Answer:
16,800 people
Step-by-step explanation:
105 * 250 = 26,250
p = 26250ft² * (16 people / 25ft²)
p = 16,800 people
Answer:
16800
Step-by-step explanation:
105 x 250 = 26250 and then divide it by 25 which is 1050 then multiply by 16 which is 16800
Hope this helps!
You start at (2, -1). You move down 3 units and left 3 units. Where do you end?
Answer:
(-1,-4)
Step-by-step explanation:
(2, -1)
Moving down 3 means subtract 3 from the y value
Left 3 means subtract 3 from the x value
(2-3, -1-3)
(-1,-4)