Answer:
r+17
This equation is stating to write an expression (without an = sign. varies from an equation). It states that you need to write it as 17 more than r. This means 17 added on to r . r+17
Step-by-step explanation:
Assume that Jim, Bruce, and Valerie are three of the 19 members of the class, and that three of the class members will be chosen randomly to deliver their reports during the next class meeting. What is the probability that Jim, Bruce, and Valerie are selected in any order?
Answer:
[tex]Probability = \frac{1}{969}[/tex]
Step-by-step explanation:
Given
[tex]Members = 19[/tex]
[tex]Selection = 3[/tex]
Required
Determine the probability of selecting Jim, Bruce and Valerie
First, we need to calculate the possible number of selections.
This is calculated using combination formula:
[tex]Selection = ^nC_r[/tex]
[tex]Selection = ^{19}C_3[/tex]
[tex]Selection = \frac{19!}{(19-3)!3!}[/tex]
[tex]Selection = \frac{19!}{16!3!}[/tex]
[tex]Selection = \frac{19 * 18 * 17 * 16!}{16! * 3 * 2 * 1}[/tex]
[tex]Selection = \frac{19 * 18 * 17}{3 * 2 * 1}[/tex]
[tex]Selection = \frac{19 * 18 * 17}{6}[/tex]
[tex]Selection = 969[/tex]
Selection of Jim, Bruce and Valerie is only 1 selection of the 960 possible selection.
So:
[tex]Probability = \frac{1}{969}[/tex]
The probability that Jim, Bruce, and Valerie are selected in any order is [tex]\rm P=\dfrac{1}{969}[/tex] and this can be determined by using the given data.
Given :
Assume that Jim, Bruce, and Valerie are three of the 19 members of the class and that three of the class members will be chosen randomly to deliver their reports during the next class meeting.
In order to determine the probability that Jim, Bruce, and Valerie are selected in any order, first determine the total number of possible selections.
The total number of possible selections is given by:
[tex]\rm S = \; ^nC_r[/tex]
[tex]\rm S = \; ^{19}C_3[/tex]
[tex]\rm S = \dfrac{19!}{16! \times 3!}[/tex]
S = 969
So, the probability that Jim, Bruce, and Valerie are selected in any order is:
[tex]\rm P=\dfrac{1}{969}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/21586810
One fifth of one number and one fourth of a number are added, the result is 29. What is the original number?
Answer:
[tex] \dfrac{580}{9} [/tex]
Step-by-step explanation:
[tex] \dfrac{1}{5}x + \dfrac{1}{4}x = 29 [/tex]
[tex] \dfrac{4}{20}x + \dfrac{5}{20}x = 29 [/tex]
[tex] \dfrac{9}{20}x = 29 [/tex]
[tex] x = 29 \times \dfrac{20}{9} [/tex]
[tex] x = \dfrac{580}{9} [/tex]
Answer: [tex] \dfrac{580}{9} [/tex]
Cody's Aunt pays him $30 to walk her dogs 6 times at this rate how many times must he walk the dog in order to earn $100
It rains on Paradise Island on 40% of the days. The chance of rain is independent from day to day. A travel agent is signing people up to go on a 5-day tour of the island. She wants to know the chance of getting at least two consecutive days of rain at any time during the 5 days. To determine this, a simulation will be used.
Answer:
The probability that it will rain in atleast two consecutive days will be 0.167936.
Step-by-step explanation:
Since it rains on 40% of the days, then the probability of it raining on each day is
This follows a binomial distribution
Since it's a five-day tour and they want to know the probability that rain falls in atleast TWO CONSECUTIVE days then we have to consider 2 days as one, as we do in combination problems, so that they are always together before we use in our binomial probability density function.
Our Probability Density Function is given as
[tex]P(X) = \binom{n}{x} p^x \times q^{n-x}[/tex]
Where p is probability of raining and q = 1 - p is probability of not raining.
Our n is 4 since we are considering two days as one.
We are looking the P(X≥2) = 1 – P(X<2) = 1 – [P(X = 0) + P(X = 1).
[tex]P(X = 0) = \binom{4}{0} 0.4^0 \times 0.6^4 = 0.1296[/tex]
[tex]P(X = 1) = \binom{4}{1} 0.4^1 \times 0.6^3 = 4\times 0.4 \times 0.216 = 0.3456[/tex]
Therefore P(X≥2) = 1 – (0.1296 + 0.3456) = 0.5248.
Remember we combined two consecutive days that it will rain as one, their probabilities will be:
2! x 0.4 x 0.4 = 0.32
Therefore, the probability that it will rain in atleast two consecutive days will be
0.32 x 0.5248 = 0.167936
How do you do this question?
Answer:
E
Step-by-step explanation:
dy/dt = y² − 1
When -1 < y < 1, dy/dt is negative. So the solution is decreasing between y = -1 and y = 1.
Only one graph is consistently decreasing in that range, and that's the last graph.
What is the slope of the line on the graph?
Answer:
The slope is -2.
Step-by-step explanation:
You can tell because every time the line goes down, it goes 2 down and 1 to the right.
#teamtrees #WAP (Water And Plant)
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
How many is dollars will you receive for one Japanese yen
Answer:
You will earn about a cent.
Step-by-step explanation:
The actual amount is about 0.0096 dollars, but you can round it out to 0.01 dollars, or 1 cent.
Solve five and two thirds times three fourths
A) three and eleven twelfths
B) four and one twelfth
C) four and three twelfths
D) five and one twelfth
Answer:
C. The answer can be simplified.
Step-by-step explanation:
5 2/3 x 3/4
(5 x 3) + 2 = 17/3
17/3 x 3/4 = 51/12
51 ÷ 12 = 4 3/12
4 3/12 = 4 1/4
So it is C.
PLEASE HELP ME!! #4 Suzan took out a $700 loan from the bank. At the end of 5 years, she pays back the principal, plus $105in simple interest. What was the annual interest rate? *
Answer:
3%
Step-by-step explanation:
105 = 700 x r x 5
r = 105 / ( 700 × 5 ) = 0.03
r = 0.03
0.03 in percent is 3%
Brainliest to right answer with explanation
Answer:
It has no solutions : The input is a contradiction: it has no solutions
represent the given condition using a single variable, x.
The length and width of a rectangle whose length is 15 centimeters more than its width.
The width of the rectangle is ____.
Answer:
Please check the explanation.
Step-by-step explanation:
Let suppose [tex]x[/tex] be the width of the rectangle.
As the length is 15 centimeters more than its width i.e.
[tex]length = x+15[/tex]
Therefore, the width of the rectangle will be:
[tex]x = length - 15[/tex]
CHECK BY EXAMPLE
Let suppose if the length of the rectangle is 20 cm.
Then the width of the rectangle will be:
x = length - 15
= 20 - 15
= 5 cm
Therefore, the width of the rectangle will be 5 cm.
Simplify using the distributive property.
10 - 2(x - 7) = 4(x - 5)
24 - 2 x = 4 x - 20
-4 - 2 x = 4 x - 5
3 - 2 x = 4 x + 5
Answer:x=22 over 3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
10−2(x−7)=4(x−5)
10+(−2)(x)+(−2)(−7)=(4)(x)+(4)(−5)(Distribute)
10+−2x+14=4x+−20
(−2x)+(10+14)=4x−20(Combine Like Terms)
−2x+24=4x−20
−2x+24=4x−20
Step 2: Subtract 4x from both sides.
−2x+24−4x=4x−20−4x
−6x+24=−20
Step 3: Subtract 24 from both sides.
−6x+24−24=−20−24
−6x=−44
Step 4: Divide both sides by -6.
−6x−6=−44−6
x=22 over 3
hope it helps.
Answer:
hey
Step-by-step explanation:
Part D
The zoo plans to have four more female tigers than male tigers. Write an equation relating the number of male tigers, m, to the number of female
tigers, f.
Answer:
[tex]f\,=\,m\,+ \,4[/tex]
Step-by-step explanation:
The relationship between male and female tigers is given by the equation
[tex]f\,=\,m\,+ \,4[/tex]
Answer:
f = m + 4
Step-by-step explanation:
Which statement is true?
A) | -2.1| = -2.1
B) |2.1| = -2.1
C)|2.1| = -2.1
D) | - 2.1| = |-2.1|
need help simplifying please.
Answer:
14x² + 7y - 22
Step-by-step explanation:
Combine like terms.
5x² - 6y - 22 + 13y + 9x²
5x² + 9x² = 14x²
-6y + 13y = 7y
Reorder the terms.
14x² + 7y - 22
Hope that helps.
Which decimal is less 17.149 or 17.49
Answer:
17.149
Step-by-step explanation:
Which of the following is the best example of a state?
Answer:
What are the answer choices??
Step-by-step explanation:
<3
Answer:
A state is defined as a territory with its own government and borders within a larger country. An example of a state is California. The supreme public power within a sovereign political entity. Hope this helps!
Step-by-step explanation:
Answer the question 20. Y=x-3
Answer:
The slope is 1. The y-intercept is -3. The x-intercept is 3.
Step-by-step explanation:
Choose a number that will produce an irrational answer when added to 7/8. PLEASE HELP ITS DUE AT MIDNIGHT.
Answer:
√7
Step-by-step explanation:
2/5, 0.404040 and 0.286 are all rational as they all can be expressed in fraction form (0.4040 can be expressed as 40/99 and 0.286 as 286/1000 (can simplify but I didn't)) sqrt7 is the only irrational number.
38,477 rounded to the nearest thousand
Answer: i'm pretty sure it's 38,500
Step-by-step explanation:
cup of oil.
A recipe for one batch of cookies uses 2/3
Edward has 1 1/4 cups of oil.
Does he have enough oil to make 2 batches of cookies?
Answer:
Yes he does
Step-by-step explanation:
that would be 4/3
4/3 < 1 1/4
Hold on, our servers are swamped. Wait for your answer to fully load.
Answer:
2 + 2 =
1
1
3 3
3
23+23 is
greater than
114.
So Edward
does not
have enough oil to make 2 batches of cookies.
Step-by-step explanation:
Prices for a day ticket entrance at the Disneyland Paris Resort are as follows: Work out the percentage discount offered with the family ticket option.
Answer:
15% discount
Step-by-step explanation:
To find the discount first we need to find out the cost without the family ticketNow the family ticket covers 2 Adults and 2 children, but how much is that using the standard prices?So [tex]2adults= 2*(55)=110[/tex] which is Euros I believeThen [tex]2children= 2*(45)=90[/tex] We add these together 110+90=200 Euros, that's how much 2 adults and 2 children cost with standard pricesNow the family ticket only charges 170 EurosSo how much less is the family ticket to the regular price? 200-170=30 EurosThat's the discount, now what percentage of the actual price 200 Euros, is 30 Euros?First we write it as a fraction; 30 Euros out of 200 Euros which is [tex]\frac{30}{200} =\frac{3}{20}[/tex] To find the percentage, we multiply the fraction by 100[tex]\frac{3}{20} *100=\frac{3*100}{20}=\frac{300}{20} =15percent[/tex] or 15%This just means "take out 15% of 200 from the 200 Euros original price" so that's the percentage discount that the family ticket providesAnswer:
15%
Step-by-step explanation:
A player has 26 hits in 120 times at bat. Write the player’s batting average as a decimal. (Batting Average = Number of Hits divided by Number of Times at Bat)
Which expression is equivalent to 4(7c+ 3) + 5?
11c + 7+ 5
28c + 7 + 5
28c + 12 + 5
28c + 12 + 20
Answer:
its C. You multiply 4 with the numbers in parentheses and just add the 5
12. Emani says, "If you subtract 18 from my number and multiply the difference by -6, the result is -36." What is Emani's number? Your answer
Answer:
24Step-by-step explanation:
Step one:
let the number be x
given
1. x-18
2. (x-18)*-6
3. (x-18)*-6=-36
Required
x
the final expression mathematically is '
(x-18)*-6=-36
open bracket and solve for x
-6x+108=-36
collect like terms
-6x=-36-108
-6x=-144
divide both sides by -6
x=144/6
x=24
Emani's number is 24
Which of the following is false regarding number sets
Answer:
D
Step-by-step explanation:
just took a random guess
15. Find four consecutive integers whose sum is 30.
Answer:
6+7+8+9 = 30
Step-by-step explanation:
4 consecutive integers that equal 30 are 6, 7, 8, and 9.
They all add up to 30.
hope this helps!
have an amazing day :-)
A lasagna recipe uses 1 2/4 teaspoon basil 1/4 teaspoon pepper and 4 teaspoons parsley if you double the recipe how many teaspoon of seasoning will you use
Answer:
11 1/2 teaspoons
Step-by-step explanation:
1 2/4 basil= 1.5 tsp If you multiply this by two to double the recipe you will have 3 teaspoons of basil.
1/4*2= 2/4 pepper
4*2=8 parsley
After you double everything you need to add them together:
3+2/4+8
Which brings you to the final answer of 11 2/4 teaspoons or if you simplify it.... 11 1/2 teaspoons
A racecar driver is doing a time trial of a new car on a straight back. The car's distance from the timekeeper is represented by y=293x+50 where x is time in seconds and y is the distance from the timekeeper's position. How many feet from the timekeeper is the race car at the beginning?
Answer:
50 feet
Step-by-step explanation:
The car's distance from the timekeeper us given by :
y = 293x+50
Where x is time in seconds and y is the distance from the timekeeper's position.
The general equation of a line is given by :
y = mx +c
On comparing, we get : c = 50
It means the timekeeper has covered 50 feets at the beginning.