Answer:
11 bus are needed
Step-by-step explanation:
Do 88 divided by 8, that will give you the number of buses
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
Question 1 of 10
Multiple Choice
Identify if first number is divisible by the second number, and if so, the reason why.
Is 26 divisible by 2?
A.
No
B.
Yes, because 2 + 6 = 8 and 8 is divisible by 2.
C.
Yes, because the last digit is 6, which is divisible by 2.
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)
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)
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.
Write the slope-intercept form of the equation of the line that passes through the given points.
(1, 1) and (-3, -3)
Answer:
Slope=1
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where x1,y1= (1, 1) and X2,y2=(-3, -3)
Slop=1+3/1+4
=4/4
=1
So the slope is 1.
Answer:
1
Step-by-step explanation:
Here,
x₁ = 1 and x₂ = (-3)
y₁ = 1 and y₂ = (-3)
Now,
Slope
= y₁ - y₂ ÷ x₁ - x₂
= ( 1 ) - (- 3) ÷ ( 1 ) - (- 3)
= 1 + 3 ÷ 1 + 3
= 4 ÷ 4 = 1
Thus, Slope is 1
-TheUnknownScientist
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.
The sum of two numbers is 56. Their product is 108. Find the larger number?
Write in solution i will mark brainliest...
Lesson: Word problems involving quadratic and rational equations
Answer: the larger number is 54
Step-by-step explanation:
x + y = 56
xy = 108
x = 56 - y
substitute the x value in equation
(56 -y) y = 108
56y - y^2 = 108
y^2 - 56y + 108 = 0
=(y - 2)(y - 54)
The two numbers are 2 and 54.
What is multiplication?Multiplication is the process of adding a number up to a given number.
Given that, the sum of the two numbers is 56 and their product is 108.
Let the numbers are x and y then,
x + y = 56 (1)
xy = 108
x = 108/y
Substitute x = 108/y into equation (1):
108/y + y = 56
108 + y² = 56y
y² -56y + 108 = 0
y² -54y -2y + 108 =0
y(y - 54) -2(y - 54) = 0
(y - 2)(y - 54) = 0
y =2 or y = 54
Now, for y = 2 the value of x is 54 and for y = 54 the value of x is 2.
Hence, the two numbers are 2 and 54.
To learn more about multiplication, click here:
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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
Courtney makes 80 % 80%80, percent of the free throws she attempts. She often stays after practice to shoot sets of 10 1010 free throws. Assume that the results of free throws are independent from each other. What are the mean and standard deviation of the number of free throws she makes in each set of 10 1010?
Answer:
Mean: 8 free throws
Standard Deviation: 1.3 free throws
Step-by-step explanation:
This is a binomial random variable, so we can use the formula [tex]ux = np[/tex], where n is the number of trials, and p is the probability. Since we know both of these values, just plug it in for the mean. [tex]ux = .8*10 = 8[/tex]
For the standard deviation, we use the formula σ = [tex]\sqrt{np(1-p)}[/tex]. Since we know what np is, we can replace those 2, giving us [tex]\sqrt{8(1-p)}[/tex]. Again, p is our probability, so this gives us our final equation of [tex]\sqrt{8(1-.8)}[/tex], which simplifies to [tex]\sqrt{8(.2)}[/tex]. Using a calculator, we get 1.264, which is 1.3 rounded to the nearest tenth.
Hope this helped :)
Answer: Mean: 8
Standard Deviation: 1.3
Step-by-step explanation:
Which of the following is false regarding number sets
Answer:
D
Step-by-step explanation:
just took a random guess
You agree to purchase a home for $200,000 and decide to make a 20% down payment on the home. You finance the rest of the home payment with a 15 year fixed rate mortgage with an annual interest rate of 5.25%. Assuming that you make regular monthly payments, determine your regular monthly payment amount. Provide just a numerical answer rounded to the nearest cent.
Answer:
a or 1. $40,000 is the down payment
b or 2. 180 months = 15 years
c or 3. $168,400 is the left over payment (including mortgage)
d or 4. $935.56 (the monthly payment)
Step-by-step explanation:
1. To calculate the down payment, we need to calculate 20% of $200,000.
200,000 x 0.20 = $40,000
Therefore, the down payment on the home costs $40,000.
2. Now, let's figure out how many months are in 15 years.
15 x 12 = 180
So, the mortgage will be paid in 180 months.
3. Next, we need to find out how much money needs to be paid in the 15 years.
200,000 - 40,000 = $160,000
This price will also include an annual interest rate of 5.25%. So, we need to find 5.25% of $160,000.
160,000 x 0.0525 = $8,400 <--- interest rate when rounded to the nearest cent.
160,000 + 8,400 = $168,400 <--- total amount over 15 years
4. To find the monthly payment, we must divide the total amount of money ( or $168,400), by the number of months, (or 180.)
$168,400 ÷ 180 = $935.56 when rounded to the nearest cent.
Hope this helps! :)
which is is equivalent to the given expression?
[tex] - 5y {}^{2} + 50y - 105[/tex]
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:
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.
A population of geese doubles every 18 months. If there are 5 geese initially, how many years will it take for there to be 111 geese?
Answer: 7 years
Step-by-step explanation:
Let t be the number of periods in which geese doubles .
The exponential growth function:[tex]y=Ab^t[/tex] , where A = initial value , b= growth factor.
As per given , A = 5 , b=2
i.e. Number of geese after t periods = [tex]y=5(2)^t[/tex]
Put y=111, we get
[tex]111=5(2)^t\\\\\Rightarrow\ \dfrac{111}{5}=2^t\\\\\Rightarrow\ 22.2=2^t[/tex]
Taking log on both sides , we get
[tex]\log 22.2 = t\log 2\\\\\Rightarrow\ 1.346353=t(0.30103)\\\\\Rightarrow\ t=\dfrac{1.346353}{0.30102}\\\\\Rightarrow\ t=4.47263636\approx4.47[/tex]
Now , total months = 4.47 x 18 =80.46≈ 80 months
since 1 year =12 months
Number of years it will take [tex]=\dfrac{80}{12}=\dfrac{20}{3}=6.66666666667\approx7[/tex]
Hence, it will take 7 years (approx.)
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]
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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:
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 :-)
see image help me as fast as possible, please
Answer:
39
Step-by-step explanation:
to find the area of the triangles use the equation
3(5)(.5)=7.5
since we have 4 triangles, multiply that by 4, which equals 30
Now find the area of the square
3(3)=9
Now add the area of the square and the area of the triangles
Answer:
39 km
Step-by-step explanation:
Surface area=area of square +area of triangles
=3*3 + 0.5*3*5*4
=39
(4 triangles)
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.
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)
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 inequality is shown in the graph below?
Answer:
< is less than >greater than < with line is less than or equal to > with line is greater than or equal to
Step-by-step explanation:
i couldnt see you picture so heres this
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
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:
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:
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%
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: