The value of y from the given coordinates and slope is; y = 11
We are given the coordinates of the 2 points as;
(-4, -3) and (3, y)
Now, formula for slope of a line with two coordinates is;
m = (y2 - y1)/(x2 - x1)
m = (y - (-3))/(3 - (-4))
m = (y + 3)/7
Slope is m = 2. Thus;
2 = (y + 3)/7
y + 3 = 2 × 7
y + 3 = 14
y = 14 - 3
y = 11
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Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.
Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.
The probability of an event occurring is given by the ratio of the number of
possible outcome to the number of required outcome.
First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].Reasons:
First question:
The number of faces in a coin = 2; A head or a tail
The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]
The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]
The probability that the first coin lands on heads and the second coin lands
on tails = P(H ∩ T)
Which gives;
[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]
The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25
Second question:
The number of black cards in a pack of 52 = 26 cards
The number of cards that are a 8 in a pack of 52 cards = 8 cards
[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]
[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]
The probability of drawing a black card and then an 8, P(B∩8), is given as follows;
[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]
The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]
Third question:
The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]
The number of consonant in the alphabet = 21
The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]
The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C) = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]
Fourth question:
The number of even numbers on a die = 3; (2, 4, 6)
The number of numbers less than 2 on a die = 1
The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]
The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]
Therefore;
The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]
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Nellie says that 60 × 1,000 is 6,000 because there are three zeros in 1,000. Kara says 60 × 1,000 = 60,000. Whose thinking is correct? Explain.
Answer:
Kara is right
Step-by-step explanation:
60 × 1000= 60000Solve 2x + 3(x+ 10) = 60.
O A. x = 6
O B. x = 5
O C. x= 3
O D. x = 7
Answer:
A. x = 6
Step-by-step explanation:
2x+3(x+10)=60
Use the distributive property to multiply 3 by x+10.
2x+3x+30=60
Combine 2x and 3x to get 5x.
5x+30=60
Subtract 30 from both sides.
5x=60−30
Subtract 30 from 60 to get 30.
5x=30
Divide both sides by 5.
x=
5
30
Divide 30 by 5 to get 6.
x=6
Find the slope of a line that passes through each pair of points.
(0, 1) (2, 7) 2) (4, 5) (1, 1) 3) (1, -2) (4, 7)
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
(0, 1) (2, 7)
x changes by +2 (from 0 to 2)
y changes by +6 (from 1 to 7)
the slope is +6/+2 = 6/2 = 3
(4, 5) (1, 1)
x changes by -3 (from 4 to 1)
y changes by -4 (from 5 to 1)
the slope is -4/-3 = 4/3
(1, -2) (4, 7)
x changes by +3 (from 1 to 4)
y changes by +9 (from -2 to 7)
the slope is +3/+9 = 3/9 = 1/3
What's ( Round to the indicated place value
1. 6085 to the nearest hundred
2. 51,672 to the nearest ten thousand
3. 321.6396 to the nearest thousand)
Answer:
I'm not going to give the answer yet to see if you can figure it out.
Step-by-step explanation:
1. Find the place that your are rounding to. Ex: 6085
2. Then, look "nextdoor"; the number to the right of the number underlined. Ex: 6085
3. If this number is 1-4, then keep it the same. If it is 5-9, then add one to the digit to the left. Ex: 6085 becomes 6185
4. All of the digits to the right stay the same. Ones to the left become zero. Ex: 6185 becomes 6100.
I hope this helps!
Which of the following transformation sequences will produce similar, but not congruent, figures?
Answer:
The selected choice (#2) is correct
Step-by-step explanation:
Any rigid transformation (moving a figure, rotating it, flipping it around will leave the transformed figure congruent with the original. Scaling it (=dilating it) will generate a new figure what is similar to the original: angles remains the same but sides are in proportion.
Simplify the expression below. −7×4×(−434)
IM TIMED PLEASE HELP ILL GIVE U BRAINLIEST D:
what is 8.52 divided by 12
show your work in partial quotient
Answer:
look at the photo...............the nth The nth term of a sequence is n-4 what is the tenth term
Step-by-step explanation:
the nth term is n-4, so the 10th term (that means n = 10) is then 10-4 = 6
n-4 is the rule of the sequence.
Simply replace "n" with a number and solve your equation.
For example, if you are finding the 5th term, you do it like this:
= n - 4
= (5) - 4
= 1
Now, as you asked, the tenth term:
= n - 4
= (10) - 4
= 6
When you mail a package that weighs more than one ounce, the Post Office charges 34 cents for the first ounce and 23 cents for each additional ounce.
Write a mathematical model of this question (in words). Let N stand for the number of ounces.
Total Cost =
How much does a package that costs $2.18 weigh?
Answer:
9 ounces
Step-by-step explanation: i just started with 0.34 and added 0.23 until i got to 2.18 lol
What is the relationship between these two vectors?
Answer:
a and c
Step-by-step explanation:
that's because they both have a and c....so their relationship is a and c
Laura wants to play a game in which each player gets 4 cards. She has a total of 29 cards. How many people can play? How many cards will be remaining?
Answer:
Only 7 people can play and 1 card will remain
Step-by-step explanation:
Answer:
7 people can play
Step-by-step explanation:
there will be 1 card remaining
PLZ Mark Brainliest
Rudolph will spend $150 on tickets to the Reindeer Games. Reserved seat tickets cost $25 and general admission
tickets cost $10. Write an equation that describes the number of tickets Rudolph can buy_How many tickets can
Rudolph buy if he buys only reserved seat tickets? Only general admission tickets?
The equation that describes the number of tickets Rudolph can buy will be 25r + 10g = 150.
Let the reserved tickets be represented by r.Let the general admission be represented by g.Therefore, the equation will be 25r + 10g = 150.
The number of tickets that Rudolph can buy if he buys only reserved seat tickets will be:
= $150 / $25 = 6
The number of tickets that Rudolph can buy if he buys only general admission tickets will be:
= $150 / $10 = 15
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Which measure of center is most appropriate, and what
is the value of the measure of center?
You are a sports agent's assistant. You are preparing a
report on contracts you have obtained for the agent's
clients. You recently negotiated the following annual
contracts: $2.8 million, $18.9 million, $1.5 million, $1.2
million, $1.5 million, and $3.5 million per year. The
standard deviation of the data is 6.3, and the range is
17.7.
O median; $1.35 million
O mode; $1.5 million
O median; $2.15 million
O mean; $4.9 million
O mean; $5.58 million
Mark this and return
Save and Exit
Next
Submit
Answer:
Median;$1.35 million
Step-by-step explanation:
You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.
Which measure of center is most appropriate, and what is the value of the measure of center?
median; $1.35 million
mode; $1.5 million
median; $2.15 million
mean; $4.9 million
mean; $5.58 million
Answer: 1.35 is wrong.
Step-by-step explanation:
About how many miles is 100,00 ft? HELP ASAP!
Answer:
18.939394miles
this is the correct answer happy
Which function represents a translation of the graph of v=x^2
by 10 units to the left?
O A. v=x^2+10
O B. v=(x+10)^2
O C. y=10x^2
O D, y=(x-10)^2
Answer:
B.
Step-by-step explanation:
That would be y = (x +10)^2.
Below are two parallel lines with a third line intersecting them.
How does the equation change when the radius changes? Unlike h and k, why is r always positive?
Answer:
When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.
Step-by-step explanation:
How to memorize the multiplication table games.
I think you should use cards! its really helpful tbh.
Step-by-step explanation:
Help plz. I think the starting number is 100% Buu I don't know.
Answer:
19%
Step-by-step explanation:
if the starting number is 100 then 100 decreased by 10% is 100 times 0.9 =90
and decrease 10% again is 81 and in total decrease by 19%
The area of the octagon below is 10,391. 9 square millimeters. An octagon has an apothem of 56 millimeters and an area of 10,391. 90 square millimeters. What is the approximate perimeter of the octagon? Round to the nearest whole number. Mm What is the approximate length of one side of the octagon? Round to the nearest whole number. Mm.
The perimeter of the octogon is 371.14 millimeters, and each side is about 46.4 millimeters.
Given that an octagon has an apothem of 56 millimeters and an area of 10,391.90 square millimeters, to determine what is the approximate perimeter of the octagon and what is the approximate length of one side of the octagon, the following calculation must be performed:
(Perimeter x apothem) / 2 = Area 56X / 2 = 10,391.90 56X = 10,391.90 x 2 X = 20,783.80 / 56 X = 371,139 371.14 / 8 = 46.4
Therefore, the perimeter of the octagon is 371.14 millimeters, and each side is about 46.4 millimeters.
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Answer:
Perimeter is 371mm
Length of one side is 46mm
Step-by-step explanation:
Got it right on Edge :)
What is the value of x + 2x when x=23?
Answer:
69
Step-by-step explanation:
23*2=46
23+46=69
[tex]x+2x = 3x \\\\\text{when x =23,}~ ~3x = 3(23) =69[/tex]
solve the equation 5(3x-1)=4(3x-2)
Answer:
x=-1
Step-by-step explanation:
15x-5=12x-8 Simplify Parentheses
3x=-3 Isolate the variable
x=-1 Divide by 3 on both sides
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
Our equation is
[tex]5\left(3x-1\right)=4\left(3x-2\right)[/tex]
First, we distribute
Now we have
[tex]15x-5=12x-8[/tex]
Subtract [tex]12x[/tex] from both sides
[tex]3x-5=-8[/tex]
add [tex]5[/tex] to both sides
[tex]3x=-3\\[/tex]
Divide both sides by 3
[tex]x=-1[/tex]
Brainliest please
The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.
The 100th even natural number is 200
Given the sequence 2, 4, 6, 8, 10....
The nth term of the sequence is expressed as:
Tn = a + (n - 1)d
a is the first term = 2
d is the common difference = 4 - 2 = 6 - 4 = 2
n is the number of terms
Substitute the given parameters into the formula
Tn = 2(n-1)2
Tn = 2+(2n - 2)
Tn = 2n
Get the 100th term
T10= 2(100) = 200
Hence the 100th even natural number is 200
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Answer:
1)
200
2)
10100
3)
less than
Step-by-step explanation:
on god
Explain well and I’ll mark brainliest
The mean of 79, 76, 55, 20, 14, 68, 30, 29, and is 52. Calculate the missing
value.
Answer:
Step-by-step explanation:
The mean of an equation is the average of it. For example, if I take 3, 4, and 5 and I want to find the average of it, I would add them up (12) and then divide by 3, because there are 3 terms. So the mean of 3, 4, and 5 is 4. Now in your equation, you must find another number. 79, 76, 55, 20, 14, 68, 30, 29 added up is 371. Now, because there are 8 terms, I would divide 371/8. 371/8=46.38.
I am not done. I must find the missing value. I am going to use the process of elimination to solve. I hav etried all numbers in my calcualtor that equal a high number, and then got 468. I then divided 468 with a 97 and got 52. 52 is the Missing value.
Brooke has a savings account. The account balance is $550.87 at the beginning of the month. The list below shoes all of the activity for one month.
- a deposit of $75.98
- a withdrawal of $34.88
- a deposit of $84.12
What is the balance in Brooke's savings account at the end of the month?
Answer:
676.09
Step-by-step explanation:
550.87 + 75.98 = 626.85
626.85 - 34.88 = 591.97
591.97 + 84.12 = 676.09 therefore that's the amount at the end of the month
What is 3.50 rounded to the nearest whole ounce?
Answer:
4.00
Step-by-step explanation:
because it is rounding to the whole number
Answer
if 3.50 refers to ounces, it would round to 4.
Step-by-step explanation:
Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
Answer:
x = 9
Step-by-step explanation:
Exterior Angle property of a triangle:
The Exterior Angle property states that:
"The exterior angle of a triangle(the Angle obtained by extending one of the sides of the triangle) is equal to the sum of it's interior opposite angles."
In the given triangle RST:
∠VRS is the exterior angle, and
∠RTS and ∠RST are the interior opposite angles.
By using the above listed property,
∠VRS = ∠RTS + ∠RST
(Substituting the values of of angles from the figure)
=> (9x + 2) = 51 + (3x + 5)
=> 9x + 2 = 51 + 3x + 5
isolating x
=> 9x - 3x = 51 + 5 - 2
=> 6x = 54
dividing both sides by 6
=> x = 9
Rachel, Neil, Caroline share an amount of money.
Rachel gets five time as much money as Neil gets.
Rachel get half as much money as Caroline gets.
what fraction of the amount of money does Rachel get?
The fraction of the money belonging to Rachel is [tex]\frac{5}{16}[/tex]
Let [tex]R[/tex] be the amount of money Rachel has
Let [tex]N[/tex] be the amount of money Neil has
Let [tex]C[/tex] be the amount of money Caroline has
Let [tex]M[/tex] be the total amount of money shared between the three people
Then, from the problem we have the following relationships
[tex]R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R[/tex]
Substituting the formulae for [tex]N[/tex] and [tex]C[/tex] into the sum [tex]R+N+C=M[/tex], we get
[tex]R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}[/tex]
Or, we can say that, [tex]R=\frac{5}{16}\text{ of }M[/tex]
Therefore, the fraction of money Rachel gets is [tex]\frac{5}{16}[/tex] of the total amount.
For an additional example of how to solve word problems that involve sharing money among people, see this answered question: https://brainly.com/question/23286685