Answer:
The probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.
Step-by-step explanation:
Since a drawer contains only blue, black, and white socks, and there are 8 blue socks, 5 black socks, and 3 white socks, to determine the probability of selecting, without looking, a blue sock and then a blue, black or white sock the following calculations must be performed:
Blue = 8/16 x 7/15 = 0.5 x 0.46 = 0.2333
Black = 8/16 x 5/15 = 0.5 x 0.333 = 0.1666
White = 8/16 x 3/15 = 0.5 x 0.2 = 0.10
Therefore, the probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.
To find this take the average of the absolute values of the differences between each member of a data set in the mean of the data set
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the dataset is missing; However, one can deduce that the question implies that you calculate the mean absolute deviation of the missing dataset.
Take for instance, the dataset is: 1, 2, 2, 3, 3, 5, 8
Calculate the mean:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{1+2+2+3+3+5+8}{7}[/tex]
[tex]\bar x = \frac{24}{7}[/tex]
[tex]\bar x = 3.43[/tex]
Next, proceed to the instruction in the question;
Which is:
[tex]M = \frac{1}{n}\sum\limits^{n}_{i=1}|x_i - \bar x|[/tex]
So, we have:
[tex]M = \frac{1}{7}(|1-3.43| + |2 - 3.43| + |2 - 3.43| + |3 - 3.43| + |3 - 3.43| + |5 - 3.43| + |8 - 3.43|)[/tex]
[tex]M = \frac{1}{7}(|-2.43| + |- 1.43| + |-1.43| + |- 0.43| + |-0.43| + |1.57| + |4.57|)[/tex]
Remove absolute brackets
[tex]M = \frac{1}{7}(2.43 + 1.43 + 1.43 + 0.43 + 0.43 + 1.57 + 4.57)[/tex]
[tex]M = \frac{1}{7}*12.29[/tex]
[tex]M = 1.76[/tex]
Melanie ran the 400-meter dash six times during track practice. Her times are shown in the table to the left. If she drops her slowest time, which measure of center is affected the most, mean or median? Explain
Answer:
Mean
Step-by-step explanation:
The median is only the middle part of the set of numbers (from the smallest number to the biggest.) if the slowest time is 3 or 4 in that set of numbers then well bad luck I guess, but for mean it is all of them added up then divided by 6 ( the amount of numbers) so I would say mean.
Which expression is equivalent to 6 (3 + 4) ?
Answer: 42
Step-by-step explanation:
6(3+4)
6*7
42
i want to fined out that
a^2+b^2
________is equal to?
a+b
Answer:
(a+b)²-2ab
Step-by-step explanation:
First we need to factorize (a+b)²
(a+b)² = a² + 2ab + b²
(a+b)² = a²+b²+2ab
Subtract 2ab from both sides
(a+b)² - 2ab = a²+b²+2ab - 2ab
(a+b)²-2ab = a²+b²
Swap;
a²+b² = (a+b)²-2ab
Hence the expression of a² + b² is (a+b)²-2ab
Out of 80 workers surveyed at a company, 11 walk to work A. What is the experimental probability that a randomly selected worker at that company walks to work B. Predict about how many of the 3,700 workers at the company walk to work
Answer:
Below.
Step-by-step explanation:
A. Required probability = 11/80.
B. 3700 * 11/80 = 508.75 so the predicted number would be 509.
Can pls someone help me plsss I need help :(
Answer: [tex]7,5.66,39^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]IJ=9\\\angle I=51^{\circ}[/tex]
from figure, we can write
[tex]\Rightarrow \sin 51^{\circ}=\dfrac{HJ}{9}\\\\\Rightarrow HJ=9\sin 51^{\circ}=6.99\approx 7[/tex]
[tex]\Rightarrow \cos 51^{\circ}=\dfrac{HI}{9}\\\Rightarrow HI=9\cos 51^{\circ}\\\Rightarrow HI=5.66[/tex]
In right angle trianle, the sum of the remaining two angles is [tex]90^{\circ}[/tex]
[tex]\therefore 51^{\circ}+\angle J=90^{\circ}\\\Rightarrow \angle J=90^{\circ}-51^{\circ}\\\Rightarrow \angle J=39^{\circ}[/tex]
Patrick is building a fence for his backyard. He bought wood planks that have a base length of 1/2 a foot and a height of 6 feet. If he buys 24 of these wood planks what is the total area he can cover with the fence
Answer:
72 ft^2
Step-by-step explanation:
area = length x width
1/2 x 8 = 3
3 x 24 = 72
if 4 is added to 8 to equal 12, how would the operation be undone
Answer:
4+8=12
Step-by-step explanation:
Which of the following describes the data set?
11,13,22,27,29,33,44,49,55.56
Answer:b if im not mistaken
Step-by-step explanation:
Show your work.
please help!
Answer:
5/3
Step-by-step explanation:
25^1/2/27^1/3
5/27^1/3
5/3
¿Cuál propiedad de los números complejos se muestra a continuación?
continuación?
(2 + 3i )+(5 - 4i) = (5 - 4i)+(2 + 3i). A) asociativa. B) distributiva. C) inverso aditivo. D) conmutativa. Cual es la respuesta correcta ? please help me quickly
Answer:
D) Comutativa
Step-by-step explanation:
a+b=b+a (álgebra)
espero que te sirva mi ayuda
During the basketball season, Jason scored 43 points. He scored 5 fewer points than three times the number Kevin did. How many points did Kevin score? Write an equation and solve.
Plzzz help me plzzzzz math helppppp
No links or imma report u 20 points plzzzzz
Answer:
wheres the question? it just says what you said-
Answer:
Picture please
Step-by-step explanation:
I'll help you with math, is it 6th grade math?
Gwen makes 30 cookies in 3/4 hour. At this rate, how many cookies could Gwen make in 3 hours
Answer:
120 cookies
Step-by-step explanation:
3 / (3/4) = 4
30 * 4 = 120
Answer:
120
Step-by-step explanation:
3/4 of an hour is the same as 45 minutes. If she is doing this in an even pace, we can figure out how many cookies she's made in 15 minutes. (This will make the problem easier for us to solve.)
45÷3=15
30÷3=10
We now that in 15 minutes she can make 10 cookies. There are 180 minutes in three hours so we can divide 180 by 15 to know how many rounds of 15 there is.
180÷15 =12
Know we know that there are 12 rounds of 15 in three hours. We also know that in 15 minutes she can make ten cookies so all we have to do now is to multiply 12×10 to get 120. She can make 120 cookies in three hours.
A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function \large h=-16t^2+40t. What is the ball's maximum height?
Answer:
[tex]h=25[/tex]
Step-by-step explanation:
From the question we are told that:
Velocity [tex]v=40fts[/tex]
The height h function
[tex]\large h=-16t^2+40t[/tex]
Generally time t is mathematically given by
[tex]h'=-32t+40[/tex]
[tex]-32t+40=0[/tex]
[tex]t=\frac{40}{32}[/tex]
[tex]t=1.25[/tex]
Therefore the ball's maximum height is given as
[tex]\large h=-16(1.25)^2+40(1.25)[/tex]
[tex]\large h=-16(1.25)^2+40(1.25)[/tex]
[tex]h=25[/tex]
NEED HELP
Find the number of possible choices for 2 classes and 3 teachers
Answer:
6 possible choices
Step-by-step explanation:
C1
t1 t2 t3
C2
t1 t2 t3
Carbon - 14 decays exponentially according to
the model A = Aoe^-0.00012t where t is
measured in years.
a) If there was an initial amount of 700 grams,how much would remain after 80 years
Answer: PERA
Step-by-step explanation: PIOJO
Find the 63rd term for the sequence,
8, 11, 14,...
Answer:
194
Step-by-step explanation:
t63 = t1 + (n - 1)(d)
= 8 + (63 - 1)(3)
= 8 + (62)(3)
= 8 + 186
= 194
In a group of 32 pupils, 3 play the flute only. 13 play the piano only. 10 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answer:
18.75%
Step-by-step explanation:
Given that
There is a group of 32 pupils
3 play the flute only
13 play the piano only
And, 10 play neither instrument
We need to find out the probability the student plays both instruments
So
= (32 - 13 - 10 - 3) ÷ 32
= 6 ÷ 32
= 0.1875
= 18.75%
Answer:
6/32 or 3/16
Step-by-step explanation:
13 add 10 add 3 = 26
32-26=6
the total amount of children is 32 so the number is 6/32
you can then simplify it to 3/16
hope this helps :)
The sum of three numbers is 84, the second number is 2 times the 3rd , the first number is 8 more than the 3rd. What are the numbers
Answer:
a = 27
b = 38
c = 19
Step-by-step explanation:
a + b + c = 84
b = 2c
a = 8+c
8+c +2c+c = 84
4c + 8 = 84
4c = 76
c = 19
b = 2(19) = 38
a = 8 + 19 = 27
Find the greatest common factor of the terms in the following expression: 8m + 18mn.
m
2 m
mn
8
Answer:
2m
Step-by-step explanation:
GCF of 8 and 18 is 2 and m is the only variable in both parts of the equation.
what does 2x<12 eqaul
Answer:
x <6
Step-by-step explanation:
bots these days i swear
Ms. Grant recorded the numbers of students in her homeroom class who participated in spirit week. The table shows the number of students who dressed up each day. Day Mon Tues. Wed. Thurs. Fri. Total Number of students O 1 4 Ол 5 15 Find the mean and the median of the data set. Determine which of these values is greater. A. The mean, 4, is greater than the median, 3. B. The mean, 4, is greater than the median, 2. C. The median, 5, is greater than the mean, O. D. The median, 4, is greater than the mean, 3.
Answer:
D
Step-by-step explanation:
Answer:its not D its A
Step-by-step explanation:
helpppppppp!! I will mark brainliest if you show work!
Answer:
$798
Step-by-step explanation:
Jack invested $7100 compounded continuously at an interest rate of 3⅝% which is 0.03625
Formula for future value of continuous compounding is;
FV = PVe^(rt)
Where;
FV is future value
PV is present value
r is interest rate
t is time
After 19 years;
FV = 7100 × e^(0.03625 × 19)
FV = $14137.697
Henry invested $7100 compounded monthly at an interest rate of 3⅜% which is 0.03375.
Formula for FV of monthly compounding is;
FV = PV(1 + i)^(n)
FV = 7100(1 + 0.03375)^(19)
FV = $13339.922
Thus, amount Jack has more than Henry = 14137.697 - 13339.922 = $797.775
Approximating to the nearest dollar gives $798
Can someone help with these two questions thank you!
Answer:
10^-5= 1/10^5
so option c is correct
You mix 3/4 quart of blue paint for every 5/6 quart of yellow paint to make 4 3/4 quarts of green paint. How much blue paint and how much yellow paint do you use?
Answer: We need 2.5 quarts of yellow paint.
Step-by-step explanation:
As per given, The ratio of blue paint to yellow paint is [tex]\frac34: \frac{5}{6}[/tex].
[tex]=3\times6:5\times4\\\\=18:20\\\\ =9:10[/tex]
Total green paint = [tex]4\frac34[/tex] quarts
Quantity of yellow paint required = [tex]\frac{10}{9+10}\times4\frac34[/tex]
[tex]=\frac{10}{19}\times\frac{19}{4}\\=\frac{5}{2}\\=2.5\ $$ quarts$$[/tex]
Hence, We need 2.5 quarts of yellow paint.
write an expression that is equivalent to: 1/3 ÷ 5/6
Answer: 0.4 or 4 i think
please help me do it i can't seem to get it
Given:
In triangle XYZ, P is the centroid of triangle XYZ, YP = 8, QP = 5, YZ = 10.
To find:
The measure of median YS.
Solution:
We know that a centroid divides a median in 2:1.
P is the centroid and YS is the median. So,
[tex]YP:PS=2:1[/tex]
Let the measure of YP and PS are 2x and x.
It is given that the measure of YP is 8.
[tex]2x=8[/tex]
[tex]x=\dfrac{8}{2}[/tex]
[tex]x=4[/tex]
[tex]PS=4[/tex]
Now, the measure of YS is:
[tex]YS=YP+PS[/tex]
[tex]YS=8+4[/tex]
[tex]YS=12[/tex]
The measure of median YS is 12 units. Therefore, the correct option is (a).
if 4x=3y, which shows the ratio of x to y in simplest form?
Answer:
B
Step-by-step explanation:
4x=3y
x/y=3/4
Just like the photo I attached
If 4x=3y, then 3/4 is the ratio of x to y in the simplest form. Option B is correct.
The ratio of x to y can be determined by dividing both sides of the equation 4x = 3y by y:
4x/y = 3y/y
4x/y = 3
To express the ratio of x to y in simplest form, we divide both sides of the equation by 4:
x/y = 3 / 4
Therefore, the ratio of x to y in simplest form is 3/4. option B is correct.
To learn more on Ratios click:
https://brainly.com/question/1504221
#SPJ4
Could someone please tell me the answer
Its 10.4 you are correct