Answer:
55
Step-by-step explanation:
During trimester 2 the math team gave 4 product assignments. The 4 scores were a 50, 90, 62, and 63.
What was the median score of the product assignments?
What was the average score of the product assignments?
Answer:
median = 62.5, average = 66.25
Step-by-step explanation:
50, 90 , 62 and 63
median = 50 , 62, 63, 90
62 + 63 / 2
125/2
median = 62.5
average = 50 + 90 + 62 + 63 /4
=265/4
average = 66.25
What is the answer to this problem?
Answer:32?
Step-by-step explanation:
Select the measures that are equal. Select all that apply.pls help me i beg you
A box with a square base and no top is to be built with a volume of 1638416384 in33. Find the dimensions of the box that requires the least amount of material. How much material is required at the minimum
Answer:
[tex]512\ \text{in}^2[/tex]
Step-by-step explanation:
x = Length and width of base
y = Height of box
Volume of the box is [tex]16384\ \text{in}^3[/tex]
[tex]x^2y=16384\\\Rightarrow y=\dfrac{16384}{x^2}[/tex]
Surface area is given by
[tex]s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}[/tex]
Differentiating with respect to x we get
[tex]s'=2x-\dfrac{131072}{x^3}[/tex]
Equating with 0 we get
[tex]0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16[/tex]
[tex]s''=2+\dfrac{393216}{x^4}[/tex]
at [tex]x=16[/tex]
[tex]s''=2+\dfrac{393216}{16^4}=8>0[/tex]
So the function is minimum at x = 16
[tex]y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64[/tex]
The material required is
[tex]s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2[/tex]
The minimum amount of material required is [tex]512\ \text{in}^2[/tex].
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.69 gallons and the mean is 15.9 gallons per day. If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that [tex]\sigma = \sqrt{1.69} = 1.3[/tex]
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.14 = 1.44\frac{1.3}{\sqrt{n}}[/tex]
[tex]0.14\sqrt{n} = 1.44*1.3[/tex]
[tex]\sqrt{n} = \frac{1.44*1.3}{0.14}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2[/tex]
[tex]n = 178.8[/tex]
Rounding up
A sample of 179 is needed.
16x < 20
What can x be?
Answer:
x < 5/4
Step-by-step explanation:
divide by 16 on both sides
x < 20/16 = 5/4
A circular pool has a diameter of 24 feet. What is the area of the pool to the nearest tenth
of a square foot?
a) 75.4 square feet
b) 150.8 square feet
c) 452.4 square feet
d) 1,809.6 square feet
Answer:
c) 452.4 square feet
Step-by-step explanation:
HOPE THIS HELPS, MARK AS BRAINLIEST PLEASE NOT THE FILE VIRUS EXPLOITER
Which of the following statements about opposites is true? Choose all correct answers.
A. The opposite of 5 is −5.
B. −(−8)=−8
C. The opposite of 0 is 0.
D. −(−2)=2
Answer:
A
Step-by-step explanation:
The circumference of a circle is 11 pi inches.
What is the area, in square inches, of the circle? Express your answer in terms of pi
9514 1404 393
Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
Select the correct answer.
Tim works for a cell phone company and is testing their new biometric security feature.
He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's
owner. The results of the test are shown in the table.
Total
Unlocked
2,418
232
Owner
Not the Owner
Total
Did Not
Unlock
582
768
3,000
1,000
4,000
2,650
1,350
What is the probability that someone who is able to unlock the phone using the biometric security feature is not the owner?
The probability that someone who is able to unlock the phone who is not the owner will be 5.8%. Then the correct option is D.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Tim works for a cell phone company and is testing their new biometric security feature.
He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's owner.
The results of the test are shown in the table.
Unlocked Did Not Unlock Total
Owner 2418 582 3000
Not the Owner 232 768 1000
Total 2650 1350 4000
Then the probability that someone who is able to unlock the phone using the biometric security feature is not the owner will be
P = 232 / 4000
P = 0.058
The probability in percentage will be
P = 0.058 x 100
P = 5.8%
Then the correct option is D.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Answer:
8.8%
Step-by-step explanation:
I did the test.
Question 14
Find the volume of this sphere. Round to the nearest hundredth.
6.5 cm
cm cubed
Answer:
1150.35
Step-by-step explanation:
What is the value of the expression: x2 + y2 + x - y
when x = -1 and y = 3
Question 1 options:
6
8
12
16
Answer: 6
Step-by-step explanation:
x^2+y^2+x-y
Put x=-1 and y=1
(-1)^2+(3)^2+(-1)-(3)
1+9-1-3
10-4
6
-3y-5=10 Show your work please, thank you.
Answer:
-5
Step-by-step explanation:
-3y = 10 + 5
-3y = 15
y = - 5
Answer:
hi
Step-by-step explanation:
-3y-5=10
-3y=10+5
-3y=15
y=15/ -3
y= -5
hope it helps
have a nice day
6x + 30 = -6 show your work
Answer:
its x=-6
Let's solve your equation step-by-step.
6x+30=−6
Step 1: Subtract 30 from both sides.
6x+30−30=−6−30
6x=−36
Step 2: Divide both sides by 6.
6x
6
=
−36
6
x=−6
Answer:
180
Step-by-step explanation:
Olaf wants to buy a guitar that costs $600. He makes $3 per day. How many days will it take Olaf to save enough money to buy the guitar
Answer:
200 days
Step-by-step explanation:
600/3 = 200
Answer:
200 days
Step-by-step explanation:
Simple: You divide the cost of the guitar by the amount he gets paid per day. Hope this helps :)
BRAINLIEST STARS
Simplify:
4+ (15 – 14) X 6
O A. 65
B. 30
O c. 24
D. 10
Looking for a clan?(Gaming clan) we are looking for content creators and more! we are a positive community and we support all gamers dreams! If Your interested reply also use our hashtag #TeamEmpire.Contact for more info
(408) 357-9368!
Answer:
BRAINLEST I LOVE M.INECRAFT R O B L O X
Step-by-step explanation:
Question 3
Convert the following proportion score to a percentage: .3852
Answer:
The percentage score is 38.52%
Step-by-step explanation:
Conversion of a proportion to a percentage:
To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.
In this question:
Proportion .3852
0.3852*100% = 38.52%
The percentage score is 38.52%
Which story problem COULD not be solved with a expression 3 1/2 x 1/3
Answer:
C
Step-by-step explanation:
Instead of how much she should've had left it should've asked how much did she use.
Mrs. Crosland asked students to factor the expression 28x - 8. The students offered the answers shown in the box. Which student(s) offered answer(s) equivalent to the original expression? A. only Danny B. only Irene C. both Carlos and Danny D. both Carlos and Irene
Answer:
Step-by-step explanation:
I can't see the factorisation that the students did. That is, Danny, Carlos and Irene. You either forgot to upload, or you couldn't.
However, I will factorise the expression for you, while you check you book to know who did the exact same factorisation.
28x - 8
This equation can be factorised when divided by 2, into
2(14x - 4)
At the same time, it can be factorised when divided by 4, into
4(7x - 2)
Basically, either of the students who choose between 2(14x - 4) and 4(7x - 2) is/are whom you'd pick for your answer.
A standard-size volleyball court has an area of 1,800 square feet. The length of the court is 60 feet. What is the width of the court?
Answer:
The width of the court is 30 feet.
Step-by-step explanation:
1800 = 60 x width
width = 1800/60 = 30
4) Is( 4,-5) a solution to
y +8 > -(x + 2)
Show your work
Please eplain
Step-by-step explanation:
[tex] - 5 + 8 > - (4 + 2) \\ 3 > - 6 \\it \: is \: true[/tex]
Answer:
yes
Step-by-step explanation:
43.1424 divided by 8.56
Answer: 5.04
Step-by-step explanation:
What number is 15 less than 63?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
please help me with this
Answer: [tex]30^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\sin 60=\dfrac{\sqrt{3}}{2}[/tex]
For
[tex]\cos \theta =\dfrac{\sqrt{3}}{2}[/tex]
It indicates [tex]\theta[/tex] lies in I st quadrant. The value of cosine [tex]30^{\circ}[/tex] is equal to [tex]\dfrac{\sqrt{3}}{2}[/tex]
Therefore, [tex]\theta[/tex] must be [tex]30^{\circ}[/tex]
In circle P, BC=24ft. What is the length of arc AC?
Find the missing side of this right
triangle.
12
Х
8
X=
V[?]
Enter the number that belongs in the green box.
Answer:
The number 80 should go in the green box
Step-by-step explanation:
To solve this equation you will need to use the pythagorean theorem. Which is a^2 + b^2 = c^2. Also you will need to know where the legs and hypotenuse of the triangle are. The hypotenuse is the longest side of the triangle. So that would be the side marked 12. Then the other two sides are legs.
To solve for x you need to input your known numbers into the pythagorean theorem and solve. To know where the numbers go, a and b of the equation are the legs of the triangle and c is the hypotenuse. I solved the equation for you in the photo I inserted.
Hope that helped you!
HELP PLEASE!!! LOOK AG PICTURE -which table represents a quadratic function? justify your answer
Answer:
table two
Step-by-step explanation:
The increase rate for table one is constant that's why it is a linear function
In the second table, however, the increase rate increases as x increases, it is not constant; therefore, table two is a quadratic function.
What is the measure of m?
6
m
18
n
m
=
[?]
Answer:
Step-by-step explanation:
the real answer is m=12:))
Help me to find the surface area pls :( :(
Answer:
154.521
Step-by-step explanation:
Have a good day!
Answer:
154.521
Step-by-step explanation: