9514 1404 393
Answer:
d) 3195
Step-by-step explanation:
The distances traveled make an arithmetic series, the sum of which is given by ...
Sn = (2·a1 +d(n -1))(n/2)
This series has first term a1=5 and common difference d=7. Then the total distance traveled in 30 seconds is ...
S30 = (2·5 +7(30-1))(30/2) = (10 +203)(15) = 3195
The cart travels 3195 inches.
An urn contains b black balls and r red balls. One of the balls is drawn at random, but when it is put back in the urn c additional balls of the same color are put in with it. Now suppose that we draw another ball.
Required:
Show that the probability that the first ball drawn was black given that the second ball drawn was red is b/(b r c).
Answer:
Please see the explanation below for proof
Step-by-step explanation:
Probability of choosing black ball from the bag
[tex]\frac{b}{b+r}[/tex]
Probability of choosing red ball from the bag
[tex]\frac{r}{b+r}[/tex]
After the addition of c balls of correspondent color –
P (R2/B1) [tex]= \frac{r}{(r+b+c)}[/tex]
P (R2/B2) [tex]=\frac{r+c}{(r+b+c)}[/tex]
B1 and B2 are mutually exclusive event
P (B1/R2) = [tex]\frac{\frac{r}{(r+b+c)} *\frac{b}{b+r}}{\frac{r}{(r+b+c)}*\frac{b}{b+r} + \frac{r+c}{(r+b+c)}* \frac{b}{b+r}}[/tex]
P (B1/R2) [tex]=\frac{b}{(r+b+c)}[/tex]
Hence, Proved
11. Interest earned: $10
Principal: $250
Interest rate: 4%
Time: ?
I just have a test due and can’t get these !!
Answer:
hello
Step-by-step explanation:
no sé soy nuevo jajajaja
5. Divide using Synthetic Division
(2x3 + 5x2 – 3) = (x + 2)
Paul is 32 years old In ten years time Paul's age will be the sum of his 3 sons What do his sons ages add up to now?
Answer:
39
Step-by-step explanation:
Hope it helps!
given y= 1/3x+5, find y when x = -3
Amit solved the equation 5/12 = -x/420 for x using the steps shown below. What is Amit's error?
5/12 = -x/420
5/12(420) = -x/420(420)
x = 175
A: Amit should have multiplied both sides by 5/12
B: Amit should have multiplied both sides by 12/5
C: The product of 5/12 and 420 is not equal to 175
D: The product of 5/12 and -420 should have been the value of x
Answer:
D: The product of 5/12 and -420 should have been the value of x
Step-by-step explanation:
Took the test
Determine 28.2% of 92.
Answer:
25.944
Step-by-step explanatio28.2 percent * 92 =
(28.2:100)* 92 =
(28.2* 92):100 =
2594.4:100 = 25.944
Find the unit rate.
2378 miles in 6 hours
Answer:
396
Step-by-step explanation:
do 2378 ÷ 6 = 396
Step 1. 2378 ÷ 6 = 396
boom answer
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1833 yes votes, what was the total
number of votes?
Answer: 1,222
Step-by-step explanation:
I would set this up as a fraction
3/2=1833/x
I would divide 1833 by 3 to see what the multiple is that would be used to find the equivalent fraction. Then multiply that number by 2 to solve for x.
Another option is to cross multiply
3x=2(1833)
1833*2=3666
Divide 3x by 3 to get x alone
Divide 3666 by 3 to get answer
1222
What is the y-intercept of the line: y= -3x subtract 12?
Answer:
the Y intercept of the line would be -12
Step-by-step explanation:
in a linear equation like that for example, any equation that is formed as: y=mx+b would always have B as it's y intercept, and since your equation is y=-3x-12 than your y intercept would be -12!
Please help!
Find the measure of the angle labeled with the question mark.
Answer:
it is 125°
Step-by-step explanation:
alternate interior angles are equal
100 PTS!! Will give Brainliest...
Q. Select ALL transformations from the parent graph of the function f(x)=|x+7|−3
Shifted down 3
Shifted right 7
Shifted up 3
Shifted up 7
Shifted left 7
Shifted left 3
Shifted right 3
Shifted down 7
Answer:
shifted left 7 & shifted down 3
Step-by-step explanation:
If an 8-sided spinner is labeled with 2As, 2Bs, 2 ones, and 2 twos. What is the sample space for the probability model
Please help
thx thx thx thx
Answer: Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming or all of the US states in alphabetical order
Simplify the expression below.
12x+8+7x+-4
help plz
Sheldon also picks tomatoes from his garden he picked 5 3/10 kg but 1.5kg were rotten and had to be thrown away how many were not rotten
Answer:
Step-by-step explanation:
Write an
algebraic expression for the situation.
34 divided by a number m
Answer:
34 div 68m??
Step-by-step explanation:
Answer:
answer = 34 / m
Step-by-step explanation:
Usually there would be another number or variable to write an algebraic expression, but if this is the only information given, then this would be the answer
Help ;(
Solve for x and y
Step-by-step explanation:
this is the answer of the required questions
thank you
For parallelogram ABCD, find m<1
Answer:
b
Step-by-step explanation:
the answer is
the angel m<1= 36°
The measure of angle m<1= 36°.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
WE are given that angle CAD = 36 degree
So, we know that parallelogram has parallel opposite sides.
Thus according to alternate interior angle we can say that;
angle CAD = angle m<1 = 36
therefore, the measure of angle m<1= 36°
Learn more about parallelogram;
https://brainly.com/question/24224186
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I really need help quickly please!!!!
Answer:The third one is!!
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4
y−34=414 what is the answer
Answer: y = 448
Step-by-step explanation: I’m just good
The following are the last 10 run scores Colin got in cricket:
23, 20, 4, 19, 28, 35, 25, 0, 1, 30
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 35 runs.
What is his new mean score?
Answer:
a)18.8
Step-by-step explanation:
Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8
The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20
Is -2 a whole number
Answer:
Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.
Step-by-step explanation:
Answer:
NoStep-by-step explanation:
A whole number is any number that does not contain a fraction, decimal, or negative value.
In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime. The government is deciding whether to rely on the clairvoyant Precogs to stop the criminals before they commit the crime. If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time (in other words, the Precogs fail to predict crime only in 0.001% of the cases). If a person is not going to commit a crime, the Precogs identify that person as law-abiding 99.99% of the times (in other words, the Precogs convict innocent people only in 0.01% of the cases). What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime
Answer:
0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Flagged as future criminal
Event B: Commits a crime.
In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime.
This means that [tex]P(B) = \frac{100}{1000100} = 0.00009999[/tex]
If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time
This means that [tex]P(A|B) = 0.99999[/tex]
Probability of being identified as a criminal:
0.99999 out of 0.00009999(identified and commits crime).
(1-0.99999) out of (1-0.00009999) (identifed and does not commits crime). So
[tex]P(A) = 0.99999*0.00009999 + (1-0.99999)*(1-0.00009999) = 0.000109988[/tex]
What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.00009999*0.99999}{0.000109988} = 0.9091[/tex]
0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime
Pls help me this is 7th grade (ADVANCED)
Answer:
10,24,33 could form a triangle
Step-by-step explanation:
5 + 19 is not greater than 25
6 + 12 is not greater than 19
15 + 17 is not greater than 44
Please answer for all of these, I give brainiest! also points
Write an expression in the simplest form that represents the perimeter of the following shape
Perimeter is adding all 4 sides together:
8 + 8 + 9x + 9x
Simplify by coming like terms to get:
18x + 16
The answer is d. 18x + 16
35=7x. please help me fasttt
Answer:
x=5
Step-by-step explanation:
35 divided by 7 is 5, so in that case, 7 times 5 is 35.
What ordered pair would be located 5 units to the right on the x-axis?
Write answer (x,y):
10
9
8
7
6
5
1
>X
0 1 2 3 4 5 6 7 8 9 10
Answer:
(5, 0)
Step-by-step explanation:
The ordered pair located 5 units to the right on the x axis is (5, 0) which indicates the x-location first (x = 5) and the y-location in the second coordinate (y = 0)
You and a friend missed the bus so you must wall home from school together. At the park, you part ways.
Your friend walks 4 kilometers north to his house while you walk 6 kilometers east to your house. How
many kilometers apart are the two houses?
Answer:
1.5 miles or kilograms
Step-by-step explanation:
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