Answer: 121
Step-by-step explanation:
78+43=121
In an animal rescue facility are 21 animals.14 cats and 7 dogs. During the day 5 animals were adopted.what is the probabity that 3 cats and 2 dogs were adopted? Review ch 7 on probability
Answer:
0.3756
Step-by-step explanation:
I believe this is a combinatorics probability problem.
We first figure out in how many ways we can choose 3 cats out of 14 cats
Then we figure out how many ways we can choose 2 dogs out of 7 dogs
The total number of ways to select 3 cats and 2 dogs will be the product of these two
We then figure out in how many ways we can select 5 animals out of a total of 21 animals
The product we computed divided by the above number will give the probability
The number of ways we can choose k items out of n items is given by nCk i.e n Choose k
The formula is rather complicated but almost all calculators should be able to compute this given n and k
Let's deal with the selection of 3 cats from the population of 14 cats
This is given by 14C₃ which works out to 364
Number of ways for selecting 2 dogs from 7 dogs = 7C₂ = 21
Number of ways of selecting 5 animals from 21 = 21C₅ = 20349
The probability of selecting 3 cats and 2 dogs is therefore:
[tex]\dfrac{364 \times 21}{20349} = 0.3756[/tex]
That, I believe is the answer. Please let me know if it is correct and if you need more info.
9. A water tank is filled at a constant rate.
After 36 minutes, there are 648 gallons of
water in the tank. How many gallons of
water flowed into the tank each minute?
Use the model.
36
כp
648
regist
the upc
has 49 vor
the same nu
voters will
Answer: 18 gallons
Step-by-step explanation:
648/36 = 18
Can you guys awnser the questions in the boxes below
Answer:35 divide by 10.50= 3.33 = 4 hrs
Step-by-step explanation:
What does absolute value represent?
Step-by-step explanation:
The distance from zero that a number is on the number line without considering Direction
Ahmed earns $450/week. He receives a 4% increase in pay.
What is Ahmed’s weekly pay after his increase?
Does the table represent a
function? Explain.
x
-3 -2 0 -3 -2
y 9 4 0 -9 -4
keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.
given the slope of the line and one point the passage through (2,-1) m=5/4
Answer:
slope intercept form:
y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
m = 5/4
x = 2 from the point (2,-1)
y = -1 from the point (2,-1)
y = mx + b
-1 = [tex]\frac{5}{4}[/tex] ([tex]\frac{2}{1}[/tex]) + b
-1 = [tex]\frac{10}{4}[/tex] + b
-1 = [tex]\frac{5}{2}[/tex] + b Subtract [tex]\frac{5}{2}[/tex] from both sides
[tex]\frac{-2}{2}[/tex] -+ [tex]\frac{-5}{2}[/tex] = b
[tex]\frac{-7}{2}[/tex] = b
y = mx + b
y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]
Answer:
if you need the equation: y + 1 = [tex]\frac{5}{4}[/tex] (x-2) or y + 1 = [tex]\frac{5}{4}[/tex] x [tex]-\frac{5}{2}[/tex]
the answer: y = [tex]\frac{5}{4}[/tex] x [tex]-\frac{7}{2}[/tex]
Step-by-step explanation:
Kind of explanatory you have a slope and a point, your formula is going to be y-y₁ = m(x-x₁)
I will mark brainliest, kinda urgent
The quadratic function that models the graph on the image is given as follows:
y = (x - 1)² - 1.
What is the quadratic function?The features of the quadratic equation given from the graph are given as follows:
The vertex.The y-intercept.The equation of a quadratic function with vertex (h,k) is defined as follows:
y = a(x - h)² + k.
In which a is the leading coefficient of the function.
From the graph, the coordinates of the vertex are given as follows:
(1,1).
As the vertex is the turning point of the function.
Hence the parameters h and k have values of:
h = 1, k = 1.
Hence:
y = a(x - 1)² + 1.
The y-intercept of the function is of:
y = 2.
This means that when x = 0, y = 2, hence the leading coefficient a is obtained as follows:
2 = a(0 - 1)² + 1
a = 1.
Hence the equation is of:
y = (x - 1)² - 1.
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Sydney’s fitness app says she has completed `70\%` of her goal for the week. Her goal is `50` miles. How far has she biked?
Sydney has biked `35` miles.
2x-3y=-9
x-5y=-29 solve by substitution
Answer:x=6
y=7
Step-by-step explanation:
x=5y-29
2(5y-29)-3y=-9
7y=49
y=7
x=5(7)-29
x=6
74 % of 315
estimate using the rate per 100
Answer:
23.4920634921
Step-by-step explanation:
74/315 x 100% = 23.4920634921
solve -x+y=6 and 2x+5y=-12 using substitution method
x=-6 and y=0 are solutions for the equations 2x+5y=-12.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given equations,
-x+y=6...(1)
2x+5y=-12 ...(2)
From equation 1
y=6+x
Now put y value in 2
2x+5(6+x)=-12
2x+30+5x=-12
7x+30=-12
Subtract 30 on both sides
7x=-12-30
7x=-42
Divide both sides by 7
x=-6
Now plug in x value in equation 1
-(-6)+y=6
6+y=6
y=0
Hence, x=-6 and y=0 for the equations 2x+5y=-12.
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Jason uses his car for business. he must keep accurate records so his company will reimburse him for his car expenses. when he started his trip, the odometer read 43,156.1. Jason's car gets 35 miles per gallon. his tank was full at the beginning of the trip. when he filled the tank, it cost $34.24. what price did he pay per gallon of gas on this fill-up?
The price Jason paid per gallon of gas on this fill-up is $0.03 per gallon
What is the price per gallon?Based on the given task content; this can be solved using the division method.
Total miles = 43,156.1Jason's miles per gallon = 35 miles per gallonTotal cost to fill Jason's car = $34.24Total 35 miles in Jason's odometer = Total miles / 35
= 43,156.1 / 35
= 1233.031428571428
Approximately,
1,233.03 of 35 miles per gallon
Amount Jason paid per gallon of gas on this fill-up = 1,233.03 / $34.24
= 0.027768991833126
Approximately,
$0.03 per gallon
In conclusion, the amount Jason paid per gallon of gas is $0.03 per gallon
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The weather report suggested that your city’s temperature increased from -10 degree celsius to 20 degree celsius. What is the rise in temperature?
Answer:
The temperature increased in 30 degrees Celsius
Step-by-step explanation:
Find the values of x, y, and z in the triangle.
(Image attached.)
pls help me with this question
Answer:
[tex]\frac{13}{30}[/tex]
Step-by-step explanation:
The diagram shows a shape with all side lengths measured in centimetres. All the angles are right angles.
Write an expression, in terms of
x, for the total shaded area.
The expression for the total shaded area is in terms of x is
Area = (x + 5)(x - 3)
How to find the total shaded areaThe top side of the diagram shows that the dimension for the shaded area has length = x + 5
The width of the shaded area is x - 3
Area of a rectangle is given by the formula
Area = Length * width
Area = (x + 5) * (x - 3)
Area = x² - 3x + 5x - 15
Area = x²+ 2x - 15
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Malik spent $7.00 for a drink and a sandwich. His drink cost $ 2.00. Did he have a ham sandwich for $ 3.00, a tuna sandwich for $ 5.00, or a turkey sandwich for $ 4.00 Use the equation s + 2.00 = 7.00 to justify your answer.
Answer: tuna sandwich
Step-by-step explanation: 2+5=7
Use the quadratic function to predict y if x equals 7.
y=2x²-3x+3
y=-77
y=-80
y=80
y=77
Answer: C. y=80
Step-by-step explanation:
1. Based on the given conditions, formulate: x=7
2. Calculate: Substitute x=7 into y=2x(to the power of) - 3x+3
y=80
3. Then find the correct option: C
THE ONE PIECE IS REAL
Answer: im going to be king of the pierates
Step-by-step explanation: :)
9(2n+1) help please brooooooo
Answer:
18n + 9
Step-by-step explanation:
Distribute 9 into the expression.
9*2n = 18n
9*1 = 9
18n + 9
What percentage of 2000 is 1200
68. A researcher wants to know if the mean
times (in minutes) that people watch their
favorite news station are the same. Suppose
that Table 13.24 shows the results of a
study.
CNN
45
12
18
38
23
35
Table 13.24
FOX
15
43
68
50
31
22
Local
72
37
56
60
51
Assume that all distributions are normal, the
four population standard deviations are
approximately the same, and the data were
collected independently and randomly. Use a
level of significance of 0.05.
By using the concept of mean and standard deviation, it can be inferred that
The the drug stays in the system for more than 397 minutes
What is mean and Standard Deviation?
Suppose there is a data set and the average of the data set has to be calculated. To calculate the average of the data set, mean is used
To know about Standard Deviation, it is important to know about Variance
Variance is the sum of the square of deviation from mean.
Square root of the variance gives the standard deviation
Given n = 35,
Population mean = 397
Population Standard Deviation = 18
Here the sample size is large. So the distribution is approximately normal
To test :
Test statistic t =
= 1.97
p value at = 0.0244
Since 0.0244 < 0.05, the null hypothesis is rejected
So the the drug stays in the system for more than 397 minutes
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6. The table shows the number of goals scored by a soccer team in 20 matches.
4
1
1
2
2
1
1
3
0
4
0
3
1
2
2
2
3
4
(a) Represent the data on a dot diagram.
(b) Find
(i) the mean,
(ii) the median,
2
(iii) the mode, of the distribution.
3
a) The dot plot of the data-set is given by the second image shown at the end of the answer.
b - i) The mean of the distribution is of: 1.6 goals.
b - ii) The median of the distribution is of: 1.
b - iii) The mode of the distribution is of: 1 goal.
What are the measures?The mean is given by the sum of all observations of the data-set, hence it is of:
Mean = (0 x 5 + 1 x 6 + 2 x 4 + 3 x 3 + 4 x 1 + 5 x 1)/20 = 1.6.
The median of the distribution is the middle value of the distribution, which is the value of which half the distribution is less than and half is greater than.
Adding in the frequency table given at the end of the answer, it is found that the middle term is of 1, as the sum of the frequencies reaches 10, which is half of the cardinality of 20, at a number of 1.
The mode is the term with the highest absolute frequency, hence it is also of one goal, as it has the highest absolute frequency, which is of 6.
The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as the table, in a different format.
Missing InformationThe table is given by the first image shown at the end of the answer.
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Find the present value (the amount that should be invested now to accumulate the following amount) if the money is compounded as indicated.
$6800 at 4% compounded quarterly for 3 years
The present value the amount that should be invested now to accumulate is $7662.24.
What is meant by compound interest?Compound interest is the adding of interest to the principal amount of a loan or deposit, or interest on interest + principal. It is the outcome of reinvesting interest, or adding it to lent capital, rather than paying it out or requesting payment from the borrower, so that interest is received on the principle sum plus previously accumulated interest in the next month. In finance and economics, compound interest is common.
Compound interest differs from simple interest in that previously collected interest is not added to the current period's main amount, resulting in no compounding. The simple annual interest rate is calculated by multiplying the interest amount per period by the number of periods in a year.
Given,
Principle P=$6800
T=3 years
And also given that the money is compounded quarterly.
Present value=P[tex](1+(R/4)^{4t}[/tex]
=6800[tex](1+(4/400)^{12}[/tex])
=6800[tex](1+(1/100))^{12}[/tex]
=6800[tex](101/100)^{12}[/tex]
=6800[tex](1.01)^{12}[/tex]
=6800×1.1268
=$7662.24
The present value the amount that should be invested now to accumulate is $7662.24
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Graph the equation. y = -(x-4)^2+4
I need assistance on This question
Answer: it would be A.
Step-by-step explanation: I did the quiz
What is [tex]\sqrt{x-3} -\sqrt{x} =3[/tex]
Answer:No solution
Step-by-step explanation:
The solution of the equation is 4. Once you plug in 4, you will find that it does not fit
1-2 does not equal to 3
Susan has a collection of 60 nickels and dimes. If the number of nickels is four times the number of dimes, how many nickels and how many dimes does she have?
Answer: 12 dimes, 48 nickles.
Step-by-step explanation:
Let x = the number of dimes
Let 4x = the number of nickels
x + 4x = 60
5x = 60
x = 12 dimes
4x = 48 nickles
She has 48 nickels and 12 dimes.
Equation
At first, we have to express the sentence into equation:
Given:
x = nickels
y = dimes
Susan has a collection of 60 nickels and dimes --> x + y = 60 ............. (1)
the number of nickels is four times the number of dimes --> x = 4y ......(2)
then we must input the equation (2) into the equation (1):
x + y = 60
4y + y = 60
5y = 60
y = 60/5
y = 12
As we know the value of y, we can calculate the value of x from the equation (2):
x = 4y
x = 4 * 12
x = 48
Thus, Susan has 48 nickels and 12 dimes
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You have saved $16,000 for a down payment on a house. Your bank requires a minimum down payment of 15%.
What is the maximum price you can offer for a home in order to have enough money for the down payment?