Answers
Answer: b
Step-by-step explanation:
Related Questions
Helen has 20 knit hats to sell. She has 5 green hats, 8 blue hats, and 7 orange hats. She will choose a hat and record its color. Without replacing the hat. she will randomly choose a second hat and record its color. What is the probability of choosing two blue hats in a row?
Answers
Let's begin by listing out the information given to us:
Total number of hats = 20
Number of green hats = 5
Number of blue hats = 8
Number of orange hats = 7
The probability of choosing 2 blue hats in a row without replacement is calculated as shown below:
\(\begin{gathered} For\text{ the first choosing, we have:} \\ P(blue)=\frac{No\mathrm{}Of\mathrm{}BlueHats}{TotalHats}=\frac{8}{20}=\frac{2}{5} \\ P(blue)=\frac{2}{5} \\ \\ \text{For the second choosing, we have:} \\ P(blue)=\frac{NoOfBlueHats(Left)}{TotalHats(Left)}=\frac{7}{19} \\ P(blue)=\frac{7}{19} \\ \\ The\text{ probability of choosing two blue hats in a row is:} \\ P(TwoBlueHatInARow)=\frac{2}{5}\times\frac{7}{19}=\frac{14}{95} \\ P(TwoBlueHatInARow)=\frac{14}{95} \end{gathered}\)Sunset Lake is stocked with 2800 rainbow trout and after 1 year the population has grown to 7000. Assuming logistic growth with a carrying capacity of 28000, find the growth constant kk, and determine when the population will increase to 14600.
Answers
The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.
How to find the increase of population?The increase of population can be found by using the logistic equation. It is
\(P(t) = \frac{K}{1 + Ae^{-kt} }\)
Where
P(t) = population at time t (in years)K = carrying capacityA = (K- P₀)/P₀k = growth constant of proportionalityt = time (in years)Sunset Lake is stocked with the rainbow trout. We have
P₀ = 2800P(1) = 7000K = 28000Find the growth constant k and time t when P(t) = 14600!
A = (K - P₀)/P₀
A = (28000 - 2800)/2800
A = 25200/2800
A = 9
After 1 year, we have 7000 rainbow trout. The growth constant is
\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)
\(1 + 9e^{-k} = 4\)
\(9e^{-k} = 3\)
\(e^{-k} = \frac{1}{3}\)
k = - ln (1/3)
k = 1.0986
Use k value to find the time when the population will increase to 14600!
\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)
\(1.9178 = 1 + 9e^{-1.0986t}\)
\(0.9178 = 9e^{-1.0986t}\)
\(\frac{0.9178 }{9} = e^{-1.0986t}\)
\(t = \frac{ln \: 0.10198}{-1.0986}\)
t = 2.078
t ≈ 2.1 years
It is in another 1.1 years after t = 1.
Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.
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A bridge is supported by three arches. The function that describes the arches is
h(x)=–0.25x2 + 2.375x, where h(x) is the height, in metres, of the arch above the ground at any distance, x, in
metres, from one end of the bridge. How far apart are the bases of each arch?
a, 9.5 m
b. 9.2 m
c.
d.
10.3 m
I
8.6 m
Answers
Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
Answers
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
Step-by-step explanation:
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––
Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the number of CDs that she purchased and y represent the number of DVDs.
Answers
expresa en metros
20km=
Answers
Answer:
20000 m
Step-by-step explanation
multiplica el valor de longitud por 1000
Answer:
20000m
Step-by-step explanation:
1k = 1000
20k = 20*1000
= 20000
Abigail wants to ride her bicycle 37 miles this week. She has already ridden 17 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal? Need help for delta math
Answers
Answer:
Step-by-step explanation:
In other to meet up with her target, Abigail would have to cover 4 miles every day.
Target = 37 miles
Covered miles = 17 miles
Number of miles left to cover :
Target - miles coveredNumber of miles left = (37 - 17) miles = 20 miles
Number of miles to cover per day :
20 miles ÷ 5 = 4 milesHence, Abigail would have to cover 4 miles every day.
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2. Write each expression using exponents
(10 Points)
(-5) (-5)(-5) (-5)
Answers
Answer:\(-5^{3}\)
Step-by-step explanation
Multiply. Write your answer as a fraction in simplest form.
2x7/16
Answers
Answer:
7/8
Step-by-step explanation:
7/16×2=7/16×2/1
=14/16
=7/8
Find three rational numbers between 2 and 3
Answers
2.5: This rational number is obtained by taking the average of 2.25 and 2.75. It lies closer to 3 than to 2.
2.75: This rational number is obtained by taking the average of 2.5 and 3. It lies closer to 3 than to 2.
Answer:
Step-by-step explanation:
\(\frac{15}{7} or \frac{26}{9}\)
Reconsider Dr. Sameer's research question about how much time Cal Poly students spend on watching television. Suppose that for the random sample of 100 Cal Poly students the mean number of hours per day spent watching TV turns out to be 3.01 hours, and the standard deviation of the number of hours per day spent watching TV turns out to be 1.97 hours.
a. Is the number 1.97 a parameter or a statistic? Assign an appropriate symbol to this number.
b. Find the standardized statistic to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours.
c. What is your conclusion about the hypotheses, based on the calculated value of the standardized statistic? How are you deciding?
Answers
Answer:
a. 1.97 is a statistic
b. t test is = 1.32
p value = 0.186
c. there is not enough evidence to support our claim
Step-by-step explanation:
a. 1.97 is not a parameter it is a statistic. It is the standard deviation of the sample. we represent this with the symbol s.
b. we are claiming that the mean hours that are spent watching television is different from 2.75
we form our hypothesis as:
h0; u = 2.75
h1: u not equal to 2.7
t stat = barx - u/s/√n
= 3.01-2.75/(1.97/√100)
= 0.26/(1.97/10)
= 0.26/0.197
= 1.32
we get p value
n = 100
df = 100-1 = 99
using t distribution, pvalue = 0.1899
c. the p value is higher than our alpha level here
0.189 > 0.05, so we fail to reject H0. our conclusion is that there is not enough evidence to show that μ is different from 2.75
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 7m and a diameter of 8m. The container will be made from steel (including its top and bottom). If the steel costs 29$ for each square meter, how much will the steel cost in total? Use 3.14 for pi, and do not round your answer.
Answers
Step-by-step explanation:
Two ends' area = 2 * pi r^2 r is radius = 1/2 diameter = 4m
2 * 3.14 * (4^2) = 100.48 m^2
Sidewall is cicumfernce ( = pi *d) times the height ( =7m)
3.14 * 8 *7=175.84 m^2
Cost = (100.48 +175.84) m^2 * $ 29 /m^2 = $ 8013.28
A county fair uses a chart....break even
Answers
Answer:
huh???
Step-by-step explanation:
In trapezoid ABCD (AB || CD ), point ME AD so that AM: MD= 3:5. Line / ||
AB and passes through point M to intersect diagonal AC and leg BC at points P
and N, respectively. Find the indicated ratios.
BC: BN
Answers
The indicated ratios BC: BN is 3:5.
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Triangles AMP and ADC are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus
AM/AD=AP/AC
3x/3x+5x=AP/AC
AP/AC=3/8
AP=3/8AC
PC=AC-AP=AC-3/8AC
=5/8AC
AP/PC=3/8AC/5/8AC=3/5
Triangles ACB and PCN are similar by AA similarity theorem.
Similar triangles have proportional corresponding sides, thus
CP/AP=CN/CB
5x/5x+3x=CN/CB
CN=5/8CB
BN=BC-CN=3/8BC
Hence, the ratio BN/CN=3/8BC/5/8BC=3/5
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The temperature at noon was 10 degrees. For the next 3 hours it dropped at a rate of 3 degrees an hour. Express this change in temperature as an integer.
Answers
Answer:
Change in temperature = -9 degrees
Step-by-step explanation:
Given
\(Start Temperature = 10 deg\)
\(Change = 3 deg/hr\)
\(Time= 3hr\)
Required
Change in temperature;
First, the total change in 3 hours has to be solved for. This is done as follows:
\(Total Change = Change* Time\)
\(Total Change = 3 deg/hr * 3 hr\)
\(Total Change = 9 deg\)
From the question, we understand that the temperature dropped.
So, we can conclude that the temperature changed by -9 degrees;
This means that at the end of the third hour is temperature is 1 degrees
If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.
Answers
Answer:
2000
Step-by-step explanation:
A closed rectangular tank has a length of 8.5 feet, a width of 3.2 feet, and a height of 4.8 feet. Find the surface area of the tank.
Answers
Answer: 166.72 \(ft^{2}\)
Step-by-step explanation: math
Step-by-step explanation:
All you have to do here is use the surface area, or SA, equation.
Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)
Sa=54.4+81.6+30.72
Sa=166.72
Hope this helped!
How many layers of 15 unit cubes are in the rectangular prism? Enter the answer in the box.
Answers
Answer:
8
Step-by-step explanation:
120/15
If 140 bricks are used to build a wall 20 feet high, how many bricks will you use to build a wall 30 feet high?
Answers
Answer:
210
Step-by-step explanation:
Solve the inequality Then graph the solutions.What are the solutions? Select the correct choice below and fill in the answer box to complete your choice.
Answers
To solve the given inequality, we have to divide each side by -5.
\(\begin{gathered} \frac{-5x}{-5}<\frac{35}{-5} \\ x<-7 \end{gathered}\)Then, we graph the solution
Hence, the answer is A. x < -7.
what are the zeros of this function? f(x) = 3x^2 + 2x - 8
Answers
Answer:
4/3, -2
Step-by-step explanation:
What is the symbol ~, if you're trying to find the probability of ~A?
the addition probability
the probability of the event not happening
the multiplication probability
None of these choices are correct.
Answers
The symbol ~ (tilde) is commonly used to represent the negation or complement of an event. When we refer to ~A, it means "not A" or "the complement of A." In terms of probability, ~A represents the event not happening or the event A occurring.
trigonometry help; how would I even do these?
The possible answers are
0.6
0.8
0.750
Answers
Answer:
cos A= 36/45
= 0.8
Step-bcoy-step explanation:
Since it is Cos of A that means you are calculating Adjacent over Hypotenuse.
The adjacent side is 36
The hypotenuse side is 45
36/45 = 0.8
ANSWER IS 0.8
Tell whether the system has one solution, infinitely many solutions, or no solution.
Answers
Answer:
B. The system has no solution.
Step-by-step explanation:
[12x + 7y] = (20)
[12x + 7y] = (11)
The numbers in (parentheses) are both different while the numbers in the [brackets] are the same.
20=7y+12x
7y=-12x+20y=-12/7x+20/712x+7y=11
7y=-12x+11y=-12/7x+11/7Slopes are
Lines are parallelNo solutions
PLEASE HELP What is an inequality? And where could I use inequalities in real life?
Answers
Answer:
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions
An example is Legal speed on the highway ≤ 65 miles per hour
Step-by-step explanation:
When you graph y ≥ 2x - 5, what part of the half-plane you will shade?
Correct answer= all my points and brainlist wrong= report and take back my points
Answers
The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
In the given problem, the inequality presented is;
y ≥ 2x - 5
To graph this, we would use a graphing calculator to find the boundary lines and plane.
In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.
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Brandon has four more than 3 times the amount of money that Dale has. Together they have $44. What equation represents this? How much money does Dale have? How much money does Brandon have?
Answers
Answer:
Equation: 4 + 3n. Dale's Money: $7.3¢ Brandon's money: $25.9¢Step-by-step explanation:
Equation
Let "n" represent the number. Then more indicates addition, and times indicates multiplication. With that said, the answer is 4 + 3n.
Dale's Money
Given: $44 in total
44 ÷ 2 (To know how much they have equally)
22
22 ÷ 3 (Then you divide by 3 because Brandon has 3 times his, the opposite of multiplication is division.)
7.3
Therefore, Dale has $7.3¢
Brandon's money
Given: 4 + 3n. Dale has 7.3
Solve: 7.3 × 3 ( Since Brandon has four more than 3 times the amount of money that Dale has, multiply that and 3)
21.9 (Then add four because Brandon has four more...)
25.9
Therefore, Brandon has $25.9¢
The amount that Brandon and Dale have is $34 and $10, respectively.
What is an equation?An equation is formed when two expressions are equated with each other with the help of an equal sign.
Let the amount of money that Brandon has be x, and Dale has be y.
As it is given that the sum of the total amount they both had is $44. therefore, the equation that can represent the total amount both of them had is
\(x + y = \$44\)
Now, according to the first statement, Brandon has four more than 3 times the amount of money that Dale has. therefore, the equation can be represented as,
\(x = 4 + 3y\)
Further, as got the two-equation solving the two equations. We have the value of x, therefore, substitute the value of x in the first equation,
\(x+y = 44\\\\(4 + 3y )+y= 44\\\\4+4y=44\\\\4y = 40\\\\y = 10\)
Now, substitute the value of y in the second equation we get,
\(x = 4 + 3y\\\\x = 4 + 3(10)\\\\x = 34\)
Hence, The amount that Brandon and Dale have is $34 and $10, respectively.
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Find the volume of a sphere with a diameter of 6 centimeters.
A. 12 cubic centimeters
B. 288 cubic centimeters
C. 9 cubic centimeters
D. 36 cubic centimeters
(Please pick one of the answers above)
Answers
Step-by-step explanation:
A 12 cubic centimeters I think
The unit circle below shows 100∘ and -100∘. Find the values below, rounded to three decimal places if necessary.
Answers
Answer:
sin(100°) = 0.985
sin(-100°) = -0.985
Step-by-step explanation:
In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).
Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:
\(\boxed{\sin(100^{\circ}) = 0.985}\)
Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:
\(\boxed{\sin(-100^{\circ}) = -0.985}\)
In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.
What is the value of sine of the angles?The value of the sine of the angles is calculated by applying the following formula as follows;
The value of sin (100) is calculated as follows;
sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.
sin (100) = 0.985
The value of sin (-100) is calculated as follows;
sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.
sin (-100) = -0.985
Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.
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AHHH I'M LOSING POINTS PLEASE HELP
Answers
Answer:
Top Middle in the top column, rest bottom i think
Step-by-step explanation:
She sold 3 1/4 pie in the entire day, srry if i'm wrong friend.