Question
The data in this question will be utilized for the next three questions. The number of pets a group of students has, are given below.
Number of pets: 0-2 2-4 4-6 6-8 8-10 10-12 12-14
Number of students: 1 2 1 5 6 2 3
Calculate
(1) Mean (2) Sample Variance (3) Sample Standard Deviation
Answer:
[tex](1)[/tex] [tex]\bar x = 8.1[/tex]
[tex](2)[/tex] [tex]\sigma^2 = 6.341[/tex]
[tex](3)[/tex] [tex]\sigma = 2.518[/tex]
Step-by-step explanation:
Given
The above data
First, we calculate the class midpoint (x)
Pets: [tex]0-2[/tex] [tex]2-4[/tex] [tex]4-6[/tex] [tex]6-8[/tex] [tex]8-10[/tex] [tex]10-12[/tex] [tex]12-14[/tex]
x 1 3 5 7 9 11 13
f: 1 2 1 5 6 2 3
The class midpoint (x) is calculated by the average of each group.
For pets: 0 - 2.
[tex]x = \frac{0 + 2}{2}= \frac{2}{2} = 1[/tex]
The same is done for other groups.
Solving (a): Mean
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
This gives:
[tex]\bar x = \frac{1 * 1 + 3 * 2 + 5 * 1 + 7 * 5 + 9 * 6 + 11 * 2 + 13 * 3}{1 + 2 + 1 + 5 + 6 + 2 + 3}[/tex]
[tex]\bar x = \frac{162}{20}[/tex]
[tex]\bar x = 8.1[/tex]
Solving (b): Sample Variance
This is calculated as:
[tex]\sigma^2 = \frac{\sum(x_i - \bar x)^2}{\sum f - 1}[/tex]
So:
[tex]\sigma^2 = \frac{(1 - 8.1)^2+(3 - 8.1)^2+(5 - 8.1)^2+(7 - 8.1)^2+(9 - 8.1)^2+(11 - 8.1)^2+(13 - 8.1)^2}{20 - 1}[/tex]
[tex]\sigma^2 = \frac{120.47}{19}[/tex]
[tex]\sigma^2 = 6.341[/tex]
Solving (c): The sample standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\sigma^2[/tex]
[tex]\sigma = \sqrt{6.341[/tex]
[tex]\sigma = 2.518[/tex]
Marcia is using base ten blocks to multiply decimals. He is using the flat to represent one whole.
one whole
Which of the following multiplication expressions is Marcia representing below?
Answer:
nice
Step-by-step explanation:
PLEASE HELP URGENT WILL MARK AS BRAINLIEST PLUS POINTS!!
Answer:
22 (4th option)
Step-by-step explanation:
The side lengths are useless.
Pay attention to the angles.
<QRP=68 degrees.
Vertical angles make it so <SRT=68
180-90(right angle)-68=22 degrees
If you are offered an investment that pays 3.5% simple interest, and you plan to invest for 4 years, about how much do you have
invest to end up earning at least $500?
AY
$1755
B)
$2496
$3572
D)
$4328
Answer:
$3572
Step-by-step explanation:
Answer:
C.) 3572
Step-by-step explanation:
I Just took the test
slove for x for the triangle
Answer:
3x+2+36=110
3x= 110-38= 72
x= 72/3=24
Step-by-step explanation:
Jet bought a computer that was 20% off. If the original price of the computer was $785, how much did Jet save? How much did Jet pay?
785·20%=157
785-157=628
Answer:
You will pay $628 for a item with original price of $785 when discounted 20%. In this example, if you buy an item at $785 with 20% discount, you will pay 785 - 157 = 628 dollars.
Pls help me. Sorry, it's so easy.
Answer:
he bought 36 hot dogs
4 packs of hot dogs
3 packs of buns
Step-by-step explanation:
Answer:
He bought 36 hot dogs,4 packs of them, and 3 packs of buns
Step-by-step explanation:
The LCM (least common multiple) of 9 and 12 is 36 and 12*3=36 and 9*4=36 so they are even
Among the following, which one is not in similarity theorem.
A. SSS similarity theorem
B. SS similarity theorem
C. SAS similarity theorem
D. AA similarity theorem
Answer:
If two triangles are similar it means that all corresponding angle pairs are congruent and all corresponding sides are proportional. However, in order to be sure that two triangles are similar, you do not necessarily need to have information about all sides and all angles.
Which graph shows a proportional relationship between x and y?
Answer:
B
Step-by-step explanation:
The one that goes through the middle
Hope this helps
4x+5-x=10+3x+4
solution
Answer:
9
Step-by-step explanation:
4x-x=3x
3x±5=10±3x±4
10±4=14
14±3x
3x±5=14±3x
3x-3x=14-5
3x-3x=0
14-5=9
Jenny wants to buy a pair of pants that cost $35. The pants are on sale for
25% off.
What is the total cost of the discounted pants?
Answer:
35 / 4 = 8.75
35 - 8.75 = 26.25
I hope you a great life. Till we meet again, Farewell!
What type of slop..
Undefined
Positive slope
Zero slope
Negative slope
Answer:
zero slope
Step-by-step explanation:
Answer:
it's a zero slope
Step-by-step explanation:
Tim has some marbles.
Sue has twice as many marbles as Tim.
Jim has 15 marbles.
Tim, Sue and Jim have the a total of 63 marbles.
How many marbles does Tim have?
Sean wants to build a treehouse. They have a 13-foot ladder that must
be propped diagonally against the tree. If the base of the ladder is 5
feet from the bottom of the tree, how high will the tree house be off the
ground? Round your answer to the nearest tenth.
Answer:
im sorry i need the poonts have a good day
Apply the distributive property to simplify -1/3 (12+30) . A. 14 B. 6 C. -13 D. -14
Answer: -14
(− 1/ 3 )(12+30)
= −1 /3 (12+30)
= −1/ 3 (42)
= −14
Answer:
I answered this on accident sorry
Step-by-step explanation:
Find the slope of the line through the points (2, 16) & (18, 1)
Answer:
-15/16
Step-by-step explanation:
PLS HELPPPPPPPPPP PLSSSSSS ASAP
Answer:
3 i think
uhh I don't know, I forgot about this
HELP DUE IN 2 MINUTES
Answer:
6
Step-by-step explanation:
add them all together which will get you 24
then divide by the number of months
24/4=6
Which of the following is true about the diagonals of a rectangle? Select all that are true.
Diagonals bisect each other.
Diagonals are congruent.
Diagonals are perpendicular.
Diagonals bisect the angles.
Answer:
Diagonals bisect each other.Diagonals are congruent.Diagonals are perpendicular.Diagonals bisect the anglesRobin has a collection of dimes, nickels and quarters. He has 4 times as many dimes as nickels. He has 20 more quarters than nickels. The
ratio of the number of dimes to the number of quarters is 3:2. Which equation can be used to calculate the number of nickels, n, Robin
has?
OA
Exh
8:33
acer
Answer: Robin has 50 nickels, 60 dimes, and 120 quarters.
Step-by-step explanation:
Mr. Math invested $300 in an investment that is guaranteed to grow 5% per
year (compounded interest). How much will he have in three years?
Answer:45 Don't take the answer might be wrong
Step-by-step explanation:
- 1/5 + 3/5 I know it looks easy but show the work!
A countertop is 11 feet long and 4 fee t wide.
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your
final answer to 2 decimal place
Answer:
4.09m^2
Step-by-step explanation:
A countertop is 11 feet long and 4 fee t wide.
Using the conversion
1foot = 0.305 meter
11fet = 11(0.305)
11feet = 3.355 m
4 feet= 4 * 0.305
4feet = 1.22m
Area of the countertop = Length * Width
Area of the countertop = 3.355 * 1.22
Area of the countertop = 4.0931m^2
Hence the required area is 4.09m^2 to 2 decimal places
please help me with this question
Answer:
[tex]y=-2\\[/tex]
Step-by-step explanation:
Use the values of the unit circle to get the (x,y) when Θ=[tex]\frac{11\pi}{6}[/tex], which is [tex](\frac{\sqrt{3}}{2}, -\frac{1}{2})[/tex].
The cosecant (csc) function is the reciprocal of the sine function, so we take the y value and take the reciprocal of it, which is -2.
If I helped, a brainliest answer would be greatly appreciated.
I will give you brainliest! Please help me
Answer:
A) 7x^5 + 2x^2 + 6
Step-by-step explanation:
I hope this helps.
Answer:
The answer is A
y=5x+2
4x−y=0
Is (2,12) a solution of the system?
Answer:
no the solution would be (-2, -8)
Step-by-step explanation:
i graphed both of the equations and found the solution <33
Answer:
(-2,-8) is correct
Step-by-step explanation:
4x = y
5x +2 = y
4x = 5x +2
-2 = x
y = 5×-2 + 2
=-8
( x , y )
how much sugar should farid use for 1/2 of a batch of muffins
Answer:
3/8
Step-by-step explanation:
.
Answer: the answers would be 3/8
Step-by-step explanation:
Got it right
the diameter of a circle is 8 ft. Find the circumferenceto the nearest tenth.
Answer:
25.1 ft
Step-by-step explanation:
To solve for circumference is pretty simple. Just use the equation 2pi r (r=radius, radius is diameter divided by 2).
So essentially, apply to your calculator:
2(3.14)4=25.12
pretty simple! hope this helps!
Answer right and get branly this took me 3 times to doo
1. 50 degree angle I believe
2. 150 degree angle
3. 45 degree angle
Sorry if this doesn't help but, with no context about the answers they have given you I can't fully help. Try using a protractor like this down below.
Have a good day!
Factor the expression using the GCF. Explain your reasoning using math
vocabulary.
24xy – 16y
Please help!
Answer:
8y(3x - 2)
Step-by-step explanation:
8y is the GCF so I divided it out and set it outside the parenthesis.
Are the events "selecting a female" and "selecting a students who has brown eyes" independent?
Answer:
No, the events are not independent.
Step-by-step explanation:
Suppose that there are two events, A and B.
Such that first happens the event A and then the event B.
If the outcome of event A affects the probabilities for the different outcomes of event B, then the events are dependent.
In this case, if we have only the event "selecting a student who has brown eyes" (at random)
The probability is equal to the quotient between the total number of students with brown eyes, and the total number of students, then this probability is:
P = 91/200 = 0.455...
Now, if we first impose the "selecting a female", now when we want to select a student with brown eyes we will look only at the female students.
In this case, there are 32 with brown eyes and a total of 90 female students, then the probability of selecting a female with brown eyes at random is:
P = 32/90 = 0.355...
So the probability is different, which means that the events "selecting a female" and "selecting a student who has brown eyes" are not independent.