Answer:
This spinner can be designed in 5040 ways.
Step-by-step explanation:
Number of possible arrangements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
In this question:
7 colors, so:
[tex]A_{7} = 7! = 5040[/tex]
This spinner can be designed in 5040 ways.
Amelia is calculating the density of soccer balls in a bag. She knows the number of balls in the bag and the volume of the bag. Which of the following formulas can be used to calculate the density of balls in the bag?
Density = volume of bag over number of balls
Volume of shelf = density over number of balls
Density = number of balls over volume of bag
Number of books = density over volume of bag
Answer:
Density = number of balls over volume of bag
The formula that can be used to calculate the density of the balls in the bag is Density = number of balls over volume of bag
What is the formula for density?"[tex]Density=\frac{Mass}{Volume}[/tex]"
What is mass?"It is the measure of the matter inside a body."
For given question,
Amelia knows the number of balls in the bag and the volume of the bag.
She wants to calculate the density of soccer balls in a bag.
Here, mass = the number of balls in the bag
By using the density formula,
[tex]Density=\frac{number~of~balls}{volume~of~the~bag}[/tex]
Therefore, the formula that can be used to calculate the density of the balls in the bag is Density = number of balls over volume of bag
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12
Detroit, Michigan covers an area of 142.9 square miles. There are approximately
672,800 people living in Detroit. Grand Rapids, Michigan has an area of 45.3 square
miles and has a population of approximately 195,100 people. How many more
people, per square mile, live in Detroit verses Grand Rapids? Round to the nearest
person per square mile.
Answer:
401 more people per square mile
Step-by-step explanation:
Find how many people there are per square mile in both cities by dividing the number of people by the number of square miles:
672,800/142.9
= 4708 people per square mile (Detroit)
195,100/45.3
= 4307 (Grand Rapids)
Find how many more people per square mile live in Detroit by finding the difference between these two numbers:
4708 - 4307
= 401
So, there are 401 more people per square mile living in Detroit versus Grand Rapids.
The probability that a patient recovers from a disease is 0.3.
If 6 people are known to have contacted the disease, what is the probability that at least 4 survive?
Answer:
0.07047
Step-by-step explanation:
at least 4 people survive is
4 people survive and 2 don't +
5 people survive and 1 doesn't +
all 6 people survive
the probability of 4 people to survive is the product of the individual probabilities :
0.3×0.3×0.3×0.3 = 0.3⁴ = 0.0081
times the probability 2 don't survive
0.7×0.7 = 0.49
0.0081×0.49 = 0.003969
now, the chance that 4 out of 6 survive is that probabilty times how many times we can select 4 out of 6.
to select 4 out of 6 is
[tex] \binom{6}{4} [/tex]
= 6! / (4! × (6-4)!) = 6! / (4! × 2!) = 6×5/2 = 30/2 = 15
so, the probability of having 4 survivors is
15×0.003969 = 0.059535
the probability of 5 people surviving is 0.3⁵ times one not
0.3⁵×0.7 = 0.001701
we have 6 over 5 combinations to pick 5 out of 6 = 6.
so, in total for 5 survivors we get
6×0.001701 = 0.010206
and the probabilty of all 6 surviving is
0.3⁶ = 0.000729
so, the probability of at least 4 out of 6 surviving is
0.059535 +
0.010206 +
0.000729
---------------
0.070470
The average of a group of data points is called the
Answer:
mean
Step-by-step explanation:
The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order. If a data set has an even number of values, the median is the mean of the two middle values.
I NEED HELP ASAP PLEASE!!!
Answer:
Hello the answer is A <!!
Answer:
c
Step-by-step explanation:
pi/ 3 * (180/pi)= 180/3
pi/3 = 60 degrees
PLease Help! I will give you the brainiest and a lot of points
A survey of 104 college students was taken to determine the musical styles they liked. Of those, 22 students listened to rock, 23 to classical, and 24 to jazz. Also, 10 students listened to rock and jazz, 8 to rock and classical, and 8 to classical and jazz. Finally, 6 students listened to all three musical styles. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions.
a. How many listened to only rock music?
n(only rock)
b. How many listened to classical and jazz, but not rock?
n(classical and jazz, not rock)
c. How many listened to classical or jazz, but not rock?
n(classical or jazz, not rock)
d. How many listened to music in exactly one of the musical styles?
n(exactly one style)
e. How many listened to music in exactly two of the musical styles?
n(exactly two styles)
f. How many did not listen to any of the musical styles?
n(none)
Answer:
A. 22
B. 8
C. 23 + 24
D. 22 + 23 + 24
E. 8 + 8 + 10
F. 104 - (sum of all the given numbers) = 3
2) 70 = -7a
Please help me !
Find the area of each shaded region.
8/9 - Evaluating Algebraic Expressions
5. Which is equivalent to 4x - (y + x) + 2, if x = 5 and y=-3?
O 20
-20
-15
O 15
9514 1404 393
Answer:
(a) 20
Step-by-step explanation:
Put the numbers in place of the corresponding letters and do the arithmetic.
4(5) -((-3) +5) +2 = 20 -2 +2 = 20
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
9514 1404 393
Answer:
2^6 = 64
Step-by-step explanation:
Each hour the initial value (1) is multiplied by 2 (again). So the number of times 2 multiplies the initial value is the number of passing hours (t).
The number of cells after t hours is ...
c(t) = 1×2^t = 2^t
After 6 hours, this is
c(6) = 2^6 = 64 . . . . cells after 6 hours
_____
Additional comment
As you know, multiplication simplifies repeated addition.
x + x + x = 3x
In a similar way, exponentiation simplifies repeated multiplication.
x·x·x = x³ . . . . (written as x^3 in plain text)
In this problem, we're repeatedly multiplying by 2. After we do that t times, the initial value is multiplied by 2^t.
PLEASE HELP!!! ITS DUE TONIGHT!!!!!
YOUR ASSIGNMENT: Difference of 10
Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.
Your Player
1. Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer)
a. Which player did you select?
b. What number did the other player pick?
Modeling Ways to Win
2. Should you use an equation or an inequality to represent the ways your player can win? Why? (2 points: 1 point for an answer, 1 point for an explanation)
3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if Nita chose the 4 and Erik chose the 12? (2 points: 1 point for an answer, 1 point for an explanation)
4. Is it appropriate to use an absolute value inequality to represent how a player wins this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)
5. If your player is Erik, write an inequality that shows all of the ways that Erik will win if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways that Nita will win if Erik chooses 17.
Be sure to define your variable. (3 points: 1 point for defining the variable, 2 points for the correct inequality)
6. In order to graph your solutions, solve for the variable. Be sure to show your work. (2 points)
7. Sketch a graph of your solutions. (2 points: 1 point for endpoints, 1 point for the correct region)
Forming a Strategy and a New Rule
8. What is the range of numbers that will win the game for your player?
If your player is Erik, assume that Nita chooses 7.
If your player is Nita, assume that Erik chooses 17.
(Hint: Remember that Erik and Nita can choose only numbers from 0 to 20, inclusive.) (2 points)
9. Graph all the possible numbers that either player could pick. Compare this graph with your answer in question 8.
If your player is Erik, and Nita chooses 7, does Erik have a good chance of winning?
If your player is Nita, and Erik chooses 17, does Nita have a good chance of winning?
Explain your answer. (3 points: 1 point for the correct graph, 2 points for the explanation)
Answer:
it is too long send me link of it
Answer: Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer) a. Which player did you select? Erik, assume that Nita chooses 7. b. What number did the other player pick? 17
2. Should you use an equation or an inequality to represent the ways your player can
win? Why? (2 points: 1 point for an answer, 1 point for an explanation)
An algebraic statement that represents all the ways Eric will wins is
where
be the number that Eric thi
3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if
Nita chose the 4 and Erik chose the 12? (2 points: 1 point for an answer, 1 point for
an explanation)
no because both nita and eric won. eric with a number less than than 10
and nita with a number more than 10.
4. Is it appropriate to use an absolute value inequality to represent how a player wins
this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)
they win it remains positive the negative will be losses which will be changed due to
absolute value
5. If your player is Erik, write an inequality that shows all of the ways that Erik will win
if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways
that Nita will win if Erik chooses 17.
Be sure to define your variable. (3 points: 1 point for defining the variable, 2 points for
the correct inequality)
Step-by-step explanation:
87.26+(-25.6)+(-5.4)
Answer:
= 87.26 + (-25.6) + (-5.4)
=87.26- 25.6 - 5.4
= 87.26 - 31
= 56.26
✌✌✌✌✌
Can anyone help me with trig identities?
Answer:
cosA = √(21/25)
Step-by-step explanation:
We know
sin²(A) + cos²(A) = 1
Next, we know that sin(A) = 2/5. Plugging that into our equation, we get
(2/5)² + cos²A = 1
4/25 + cos²A = 1
subtract 4/25 from both sides to isolate cos²A
cos²A = 1 - 4/25 = 25/25-4/25 = 21/25
square root both sides to get
cosA = √(21/25)
We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.
Solve for x
X=In sqrt e
Step-by-step explanation:
e = 2.7182818 so you can just plug that in to your calculator and solve like normal
SOMEONE ANSWER THIS PLSSSS
Jack jogs and rides his bike for a total of 75 minutes every day. He rides his bike for 15 minutes longer than he jogs.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Jack jogs (x) and the number of minutes he rides his bike (y) every day. (5 points)
Part B: How much time does Jack spend jogging every day? Show your work. (3 points)
Part C: Is it possible for Jack to have spent 60 minutes riding his bike if he jogs and rides for a total of exactly 75 minutes and rides his bike for 15 minutes longer than he jogs? Explain your reasoning. (2 points)
Answer:
here's the answer to your question
Answer:
for B : he spend 30 minutes jogging and 45 minutes riding his bike
Step-by-step explanation:
75-15=60
60/2=30
jogging (x) =30
30+15=45
riding bike (y) =45
hopefully it help you
-3x=6x + 2 solve for x
Answer:
Step-by-step explanation:
6x+3x= -2
9x= -2
x= -2/9
Answer:
-3x=6x+2
⇒-9x=2
⇒x=-2/9
Step-by-step explanation:
Identify the X intercept and the yIntercept of the line 4x-2y=-12
Answer:
X-intercept = -3 and y-intercept = 6
Step-by-step explanation:
We can start off by isolating the y term. To do that, we must add 2y to both sides to get
[tex]4x=2y-12[/tex]
Now, we must add 12 to both sides and the y term will be all alone on the right side:
[tex]4x+12=2y[/tex]
Now, to have only y on the right side, we must divide by 2 to get:
[tex]y=2x+6[/tex]
In slope-intercept form, b is the y-intercept, and 'b' in this equation is 6. We have our y-intercept.
To find our x-intercept, y must be equal to zero. We can plug in that value for y and solve for x:
[tex]0=2x+6[/tex]
We can start off by subtracting 6 from both sides to get:
[tex]2x=-6[/tex]
We can then divide both sides to get [tex]x=-3[/tex] when y is equal to 0. Thus, we have our x-intercept.
Answer:
y-intercept= -6
x-intercept= 3
Step-by-step explanation:
First, rearrange the equation to be in y=mx+b.
4x-2y=12
4x-12=2y
(1/2)(4x-12)=y
y=2x-6
From here, we know that the 'b' in an equation in form y=mx+b is the y-intercept, which is -6.
To find the x intercept make y=0 and solve.
You can also solve without rearranging the equation and simply making x=0 and solving to find the y-intercept. and making y=0 and solving to find the x-intercept.
Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams.
Required:
Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.
Answer:
CI ≈ (173.8 < μ < 196.2)
Step-by-step explanation:
We are told that laboratory tested twelve chicken eggs. Thus;
n = 12
Mean; x¯ = 185 mg
S.D; s = 17.6 mg
DF = n - 1 = 12 - 1 = 11
We have a 95% confidence level. Thus; α = 0.05
Since n < 30, we will use t-sample test.
Thus, from t-table attached at 95% Confidence level and DF = 11, we have;
t = 2.201
Thus,formula for Confidence interval is;
CI = (x¯ - t(s/√n)) < μ < (x¯ + t(s/√n))
CI = (185 - 2.201(17.6/√12)) < μ < (185 + 2.201(17.6/√12))
CI = (185 - 11.1825) < μ < (185 + 11.1825)
CI = (173.8175 < μ < 196.1825)
CI ≈ (173.8 < μ < 196.2)
The table shows a set of conditional relative frequencies of drivers in a survey planning to buy a used vehicle next, based on how they obtained their current vehicle.
Which interpretation of the relative frequencies given is the most appropriate?
A. The greatest number of drivers who plan to buy used are those who leased their current vehicle.
B. The majority of drivers who will buy used next time bought their current vehicle used.
C. Of drivers who bought their current vehicle used, about 4 percent will buy new next time, almost 95 percent will buy used next time, and about 1 percent will lease next time.
D. Of drivers who bought new, 3.9 percent will buy used next time; of drivers who bought used, 94.8 percent will buy used again; of drivers who leased, 1.3 percent will buy used.
The majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.
What are statistics?Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.
Such elements might consist of, but are not limited to, the following: Employment, professional associations, paid consulting, and participation in groups that support relevant causes.
The given table is:-
Current vehicle Buy used
Bought new 0.039
Bought Used 0.948
Leased 0.013
Total 1.000
In the given table it is observed that the majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.
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Sophia runs twice as fast as her friend Mia. If mia runs 3 mph how long will it tske sophia to run 6 miles? 9 miles?
Answer:
It will take Sophia 1 hour to run 6 miles.
And 1 1/2 hours for 9 miles.
Step-by-step explanation:
(x+1).(x/2 +2).(x/3+3).(x/4+4).(x/5+5)
Answer:
Please see the attached picture below to understand the steps I've typed to get to the final solution.
What is the
range of the function in the graph?
Answer:
Step-by-step explanation:
A resposta é a letra a
Find the x-and y-intercepts of the graph of 4x + y = 28. State your answers as
whole numbers or as improper fractions in simplest form.
Answer:
at x-intercept, y = 0
4x = 28
x = 7
x intercept = (7,0)
at y-intercept, x = 0
y = 28
y intercept = (0,28)
What function type does the table of values represent?
A) Linear
B) Exponential
C) Quadratic
D) Can't be determined
Answer:
Hello,
answer C
Step-by-step explanation:
[tex]\begin{array}{|c|c|c|c|}x&y&x^2&3x^2\\---&---&---&---\\1&3&1^2&3*1^2=3\\2&12&2^2&3*2^2=12\\3&27&3^2&3*3^2=27\\4&48&14^2&3*4^2=48\\5&75&5^2&3*5^2=75\\\end{array}\\\\\\\boxed{y=3x^2\ the\ function\ is\ quadratic.}[/tex]
Levi decides to examine the effect of fertilizer on the growth of tomato plants. He chooses four plants for his experiment and applies varying amounts of fertilizer to three of them. He does not apply fertilizer to one plant.
Over a 15-day period, the plants receive fertilizer on Days 1, 4, 7, 10, and 13. Levi measures the height of all of his plants with a meterstick on Days 3, 6, 9, 12, and 15. He also makes sure to hold all experimental factors constant except for the fertilizer.
What is the independent variable in Levi's experiment on tomato plants?
the days plant height was measured
the days fertilizer was applied
the amount of fertilizer given to the plants
the measurements of plant height
Answer:
Step-by-step explanation:
The measurement of the height is the dependent variable. The independent variable is the amount of fertilizer applied.
The length of a rectangle garden plot is 3 metres greater than its
width.The area of the plot is 154 square metres.What is the width of the garden?
Answer: width = 11 m
Concept:
Here, we need to understand how to find the area of a rectangle.
In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.
A = w · l
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = w + 3
A = 154 m²
Given formula
A = w · l
Substitute values into the formula
154 = w · (w + 3)
Expand Parentheses (Distributive property)
154 = w² + 3w
Subtract 154 on both sides
154 - 154 = w² + 3w - 154
0 = w² + 3w - 154
Solve for the quadratic equation
(w - 11) (w + 14) = 0
w = 11 or w = -14 (Neglected because length cannot be negative)
Hope this helps!! :)
Please let me know if you have any questions
What function translates the function f(x)=|x| to the left 3 units and down 4 units?
Suppose a jar contains 7 red marbles and 28 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.
Answer:
3/85
Step-by-step explanation:
that's the answer above
what number should be added to -5/8 to get -3/2
Answer:
-7/8
Step-by-step explanation:
-5/8+x=-3/2
x= -3/2+5/8=-12/8+5/8= -7/8
Simplify: (3x2 − 5xy + 2y2) − (7x2 − 3xy − 3y2) (5 points)
−4x2 + 8xy − y2
−4x2 − 8xy + y2
−4x2 + 2xy − 5y2
−4x2 − 2xy + 5y2
Answer:
-4×2-2xy+5y2
Step-by-step explanation:
(6-5xy+2y2)-(14-3xy-3y2)
=6-5xy+2y2-14+3xy+3y2
=(6-14)+(-5xy+3xy)+(2y2+3y2)
=-4×2-2xy+5y2
Answer:
−4x2 − 2xy + 5y2
Step-by-step explanation:
