A missing piece of a board game, a circular disk, had an area of 100,608. 7. The replacement disks online a
listed using circumferences. What size circumference should be ordered?
1. 179 mm
2. 1,263,645. 774 mm
3. 0. 7 mm
4. 1,124. 12 mm
Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence interval for the mean age. He doesn't want the margin of error to exceed 333 years. Preliminary data suggests that the standard deviation for the ages of trees in this population is \sigma=16σ=16sigma, equals, 16 years. Which of these is the smallest approximate sample size required to obtain the desired margin of error?
Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that the parameters are given as follows:
[tex]M = 3, z = 1.645, \sigma = 16[/tex].
Hence, solving for n, we find the sample size.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.645\frac{16}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.645 \times 16[/tex]
[tex]\sqrt{n} = \frac{1.645 \times 16}{3}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2[/tex]
[tex]n = 76.97[/tex]
Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.
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On the speed-time graph, the Y-axis should be labeled as
Matthew bought 16 gallons of gas for $4.25 per gallon. How much did he spend? Show your work.
Answer:
$68.00
Step-by-step explanation:
16 x 425 = 6800
Just move the decimal 2 places to the left to get 68
Matthew spends $68 on gas as the rate of gas is $4.25 per gallon.
What is per unit?Per unit is a technique of expressing a quantity's value in terms of a base or reference quantity. Each system variable or quantity in a per-unit system is normalized in relation to its own base value.
Given Matthew bought 16 gallons of gas for $4.25 per gallon.
Since the price per gallon = 4.25
The price of the gas for 16 gallons = 4.25 * 16
The price of the gas for 16 gallons = 68.00
Therefore, Due to the $4.25 per gallon price, Matthew spends $68 on gas.
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good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer: C. [tex]f(n) = -4(-3)^{n-1}[/tex]
Step-by-step explanation: The formula for a geometric sequence is [tex]ar^{n-1}[/tex], where a = first term in the sequence
r = common ratio
n = position of term
Here they already told us a = -4, so we have to figure out r. We can see that in the sequence -4, 12, -36, 108... the terms are being multiplied by -3, which is why the negative and positive terms alternate.
Therefore, the formula is: [tex]f(n) = -4(-3)^{n-1}[/tex]
You can try inserting n to check it.
[tex]f(1) = -4(-3)^{1-1} = -4\\f(2) = -4(-3)^{2-1} = 12\\f(3) = -4(-3)^{3-1} = -36\\f(4) = -4(-3)^{4-1} = 108[/tex]
Option C
Let's verify
f(1)=-4(-3)^0=-4f(2)=-4(-3)^1=12f(3)=-4(-3)^2=-36Hence verified
BRAINLIEST!!! HELP DUE IN 27MINUTES
Lim 3x³ + 2x² + x + 1. x→0
Answer:
3mx3Li+2x2+2x→0
Step-by-step explanation:
[tex]\lim_{x \to0} 3x^3 +2x^2+x+1=3(0)^3+2(0)^2+0+1= 1[/tex]
Hope that helps!
Definition of limit: Limits describe how a function behaves near a point, instead of at that pointHELP!!!! Select ALL the correct answers.
Identify the two tables which represent quadratic relationships.
This year, the number of seventh graders at a middle school has increased by 20% (on top of the number of seventh grader last year). there are now 180 seventh graders. What was the number of seventh grader last year?
Chip is getting food at his favorite restaurant. The bill comes out to $48 with a 20% tax added on top. How much does Chip have to pay?
Answer:
$57.60
Step-by-step explanation:
48 x 0.20 = 9.60
48 + 9.60
57.60
Have an amazing day!!!
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
6, 9, 27/2, ....
Find the 6th term.
geometric sequence
[tex]\tt U_n=ar^{n-1}[/tex]
a = 6 = first term
r = ratio = [tex]\tt \dfrac{9}{6}[/tex]
the 6th term (n=6)
[tex]\tt U_6=6\times (\dfrac{9}{6})^{6-1}\\\\U_6=6\times \dfrac{9}{6}^5\\\\U_6=\dfrac{9^5}{6^4}=45.5625\rightarrow rounded~to nearest~thousandth=45.563[/tex]
Break Even Analysis for Small Business 1) Jesse wants to start a business making and selling skateboards. She will charge $75 for each one. Her cost will be $30 per skateboard for materials. She must pay $500 per month rent (which includes utilities) so that she has a place to make and sell the skateboards. a) Write a rule for her revenue (money coming in). b) Write a rule for her cost.
Answer:
a) r(b) = 75b
b) c(b) = 30b +500
Step-by-step explanation:
Revenue is the product of the selling price per unit and the number of units. The cost will be the sum of fixed (overhead) cost and production cost per unit multiplied by the number of units produced.
__
Let b represent the number of skateboards Jesse produces in a month.
a)Jesse receives $75 for each skateboard sold. Her revenue from selling 'b' skateboards is ...
r(b) = 75b
__
b)It costs Jesse $30 for each skateboard produced, and $500 for overhead. Her total cost is ...
c(b) = 30b +500
_____
Additional comment
In order to break even, Jesse's revenue must equal her cost:
75b = 30b +500
45b = 500
b = 11 1/9
Jesse must produce and sell 12 skateboards each month to cover her costs. (In a real business, there are additional considerations related to inventory, shrinkage, returns, discounts, and other things that may increase cost or reduce revenue.) After covering costs, each additional skateboard sold will give Jesse a profit of $45.
help me pleaseeeeeeee
What is 60% of 50?
coins
Answer:
30
Step-by-step explanation:
do 50 divided by 10 wich is 5 so ever 5 is 10 percent so the do 5 times 6 to get 30!
24 POINTS PLEASE HELP
Nathaniel has 3 hats and 3 belts in his closet. He chooses 1 hat followed by 1 belt.
Draw a tree diagram to model the sample space of Nathaniel choosing a hat followed by a belt out of his closet.
How many outcomes are possible?
Answer:
9 outfits
Step-by-step explanation:
i think this is what the question is asking hope this helped
7. Find the length of a chord that is 5 inches from the center of a circle with a radius of 13 inches.
Answer:
i don't know I don't have ideas
Cube shape is very difficult
Answer:
A, C, and D are right.
A cube is basically six squares pushing against each other and since you can have a square you can also have a triangle considering you can cut it diagonally in half. And since a square is classified as a rectangle as well then C is also correct.
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2. 3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 20x 8. What is the height of the ball 1. 5 seconds after it is thrown? 11. 7 meters 13. 8 meters 15. 5 meters 17. 5 meters.
The height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.
How to model a mathematical function?The mathematical functions is used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple mathematical function-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second.
After approximately 2.3 seconds, the ball lands on the ground.
The ball’s motion can be modeled using the function
[tex]f(x) = -10x^2 +20x+ 8[/tex]
Here, x represents the time in seconds.
As, the height of the ball 1.5 seconds after it is thrown has to be found out. Thus, put the values of in the above equation as,
[tex]f(x) = -10(1.5)^2 +20(1.5)+ 8\\f(x)=-22.5+30+8\\f(x)=15.5\rm \; m[/tex]
Hence, the height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.
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Shannon needs 20g of 80% gold to make a pendant. She has some 85% gold and some 70% gold. How much of each should she use of each alloy, use two linear equations to solve
Answer:
85%: 13 1/3 grams70%: 6 2/3 gramsStep-by-step explanation:
Two equations can be written to describe the desired relationships. One can describe the total quantity of gold alloy needed. The other can describe the amount of gold in the combination of alloys.
Let x and y represent the quantities in grams of 85% and 70% gold alloy needed, respectively.
x + y = 20 . . . . . . Shannon needs a total of 20 grams
0.85x +0.70y = 0.80(20) . . . . . the amount of gold in the mix of alloys
__
These equations are often nicely solved by substitution. Substituting for y, we have ...
0.85x +0.70(20 -x) = 0.80(20)
0.15x = 0.10(20) . . . . . . . eliminate parentheses, subtract 0.70(20)
x = 40/3 = 13 1/3 . . . . . divide by 0.15
y = 20 -13 1/3 = 6 2/3
Shannon should use 13 1/3 grams of 85% alloy and 6 2/3 grams of 70% alloy.
what causes a leap year
Answer:
In a leap year, we add an extra day on 29 February to our calendar of 365 days. What goes around: The reason we have February 29 every four years is because of two different time cycles involved with the rotation of the Earth. Leap years happen every four years, except if the year is a multiple of 100HELP ME EXPLAIN PLEASE HURRY!!!!
Answer:
40
Step-by-step explanation:
The formula is: a² + b² = c²
Looking at the picture, 41 is the hypotenuse of the triangle. We can now solve.
9² + b² = 41²
Which the answer is 40.
Please Help ASAP I Need It Plsss
Answer:
need points lol
Step-by-step explanation:
Please help/ 3(9k-1)
Simplified
Use the distributive property to simplify the expression
Hello.
Use the Distributive Property which states
a(b+c)=ab+ac
Simplify:
[tex]\hookrightarrow[/tex] [tex]\mathrm{3(9k-1)}[/tex]
[tex]\hookrightarrow[/tex] [tex]\mathrm{27k-3}[/tex]
Be sure to multiply 3 by both terms inside the parentheses.
I hope it helps.
Have an awesome day.
[tex]\boxed{imperturbability}[/tex]
Hey there!
The Distributive Property states that
a(b+c)=ab+ac
where
a, b, and c can be either constants or variables.
Now that we know what the property states, let's simplify:
3(9k-1)
multiply:
3 times 9k and 3 times -1
27k-3
Hope everything is clear.
Let me know if you have any questions!
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Your payment is $300 per month for 48 months and you made a $2,000 down payment. What is your total cost of leasing?
$14,600
$16,400
$14,400
$12,400
Answer:
$12,400
Step-by-step explanation:
$300 x 48 = $14,400
$14,400 - $2000(down payment) = $12,400
What is the value of this expression?
( 12 1/3 + 5 1/3 ) - ( 7 4/8 - 7 1/6 )
Enter your answer on the box as a mixed number in simplest form.
Answer:
17 1/3
Step-by-step explanation:
12 1/3+ 5 1/3=17 2/3
7 4/8- 7 1/6=1/3
17 2/3-1/3= 156/9 Simplest form=17 1/3
Hope that helped.
a
In a class of 40 students, 35% of them walk to school. Half the number of the remaining students
take the school bus. How many students take the school bus?
Answer:
18
Step-by-step explanation:
35% of the 40 students that walk to school is: 14.
Half of the remaining students take school bus: 40-14 = 36/2 = 18
35 + 2x = 60. HELP PLS
Answer:
=> x = 12.5Step-by-step explanation:
=> 35 + 2x = 60
=> 2x = 60-35
=> 2x = 25
=> x = 25/2
=> x = 12.5
A cone has a volume of 376.8 cubic
millimeters and a height of 10
millimeters. What is its radius?
Answer:
36.23
Step-by-step explanation:
Finding the radius of a cone with volume given =
3V / πh, π = 22/7 = 3.14
3 x 376.8 / π x h = 1130. 4 / π x 10
1130.4 / 3.14 x 10 = 1130.4 x 31.42 = 36.23
Factor completely
Solve: [tex]x^{3} + 2x^{2} -9x - 18[/tex]
please do:
step-by-step-explanation
Brandon bought 21 chicken wings for $39. 90. How much would it cost for 15 wings?
Answer:
$28.50
Step-by-step explanation:
21 chicken wings= $39.90
1 chicken wing= 39.90÷21= $1.90
15 chicken wings= 15×1.90= $28.50
:)
Answer:
$28.50
Step-by-step explanation:
Knowing that :
Brandon brought 21 chicken wings for $39.90
Asking:
How much would it cost for 15 Wings?
Solve:
We first need to know how much is 1 Wings.
To find that Divide Cost by chicken
Thus, 39.90 divide by 21..
=1.90
Hence, 1 Wings ⇒ 1.90
Then Multiply by 15 wings to find the cost of 15 wings.
1.90 * 15 = 28.50
Therefore, 15 Wings Cost $28.50
[RevyBreeze]
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
2 4/9 because the filled in boxes stand for a whole and what's missing is 4 pieces from the last one which would be the numerator and the denominator would be 9 because that's how many squares are there in total.
Step-by-step explanation:
Answer:
2 5/9
Step-by-step explanation:
Count the full boxes, which there are two of them,
and then you count the number of colored boxes in the partially filled one.
There are 5 colored boxes.
Hence, you get 2 wholes and 5/9 colored boxes
So the answer is 2 5/9.