Answer:
105
Step-by-step explanation:
I NEED HELPPP ASAPPPPP I WILL GIVE BRAINLIESTTTT!!!!!!
Answer:
It is a function because the line does not pass through X two times.
Step-by-step explanation:
Answer:
it is not a function since the pattern is broken and does not stay symetrical or as a pattern
Step-by-step explanation:
A sample of 4 different calculators is randomy selected from a group containing 12 that are defective and 36 that have no defects. What is the probability that a least one of the calculators is defective?
Answer: 0.69727
Step-by-step explanation:
Given: Sample size : n= 4
Number of defective calculators = 12
Number of non-defective calculators = 36
Total calculators = 12+36=48
Let X = Number of defective calculators.
The probability that a least one of the calculators is defective will be :
[tex]P(X\geq1)=P(X=1)+P(X=2)+P(X=3)+P(X=4)\\\\=\dfrac{^{12}C_1\times\ ^{36}C_{3}}{^{48}C_4}+\dfrac{^{12}C_2\times\ ^{36}C_{2}}{^{48}C_4}+\dfrac{^{12}C_3\times\ ^{36}C_{1}}{^{48}C_4}+\dfrac{^{12}C_4\times\ ^{36}C_{0}}{^{48}C_4}\\\\=\dfrac{12\times7140}{194580}+\dfrac{66\times\ 630}{194580}+\dfrac{220\times\ 36}{194580}+\dfrac{495\times\ 1}{194580}\approx0.69727[/tex]
Hence, the required probability = 0.69727
I don’t understand this question.
Answer:the last one
Step-by-step explanation:
Factor.
9x^4−64y^2
Enter your answer in the box.
Answer:
(3x² + 8y)(3x² - 8y)
Step-by-step explanation:
9x^4 - 64y^2
~Rewrite
(3x²)² - (8y)²
~Apply difference of two squares
(3x² + 8y)(3x² - 8y)
Best of Luck!
Sallie read an average of 1.5 books each week during the year.
Write an equation that represents the amount of books that she read (y) per week (x).
Answer:
y=1.5x
78
Step-by-step explanation:
y=1.5x
y=1.5(52)
y=78
help me pleaseeeeeee
Answer:
Step-by-step explanation:
dang thats hard
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The only transformation that would make a shape smaller or bigger is dilation.
Since this dilation is going from bigger to smaller you will have to use a number from in between 0 and 1.
[tex](x,y)-->(\frac{1}{2}x,\frac{1}{2}y)[/tex]
Use summation formulas to rewrite the expression without the summation notation .
sum i=1 ^ n 2i^ 3 -3i n^ 4
Factor out 1/n⁴, and distribute the sum over each term:
[tex]\displaystyle\sum_{i=1}^n\frac{2i^3-3i}{n^4}=\frac1{n^4}\sum_{i=1}^n(2i^3-3i)[/tex]
[tex]\displaystyle\sum_{i=1}^n\frac{2i^3-3i}{n^4}=\frac2{n^4}\sum_{i=1}^ni^3-\frac3{n^4}\sum_{i=1}^ni[/tex]
Recall the following formulas:
[tex]\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2[/tex]
[tex]\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4[/tex]
So we have
[tex]\displaystyle\sum_{i=1}^n\frac{2i^3-3i}{n^4}=\frac{n^2(n+1)^2}{2n^4}-\frac{3n(n+1)}{2n^4}=\boxed{\dfrac{(n+1)(n^2+n-3)}{2n^3}}[/tex]
Fifty people are in a line. The first person in the line to have a birthday matching someone in front of them will win a prize. Of course, this means the first person in the line has no chance of winning. Which person has the highest likelihood of winning? Defend your answer with a statistically sound argument.
Answer:
20th person
Step-by-step explanation:
Before proceeding into problem,assume that you don't know anyone else's birthday, and that birthdays are uniformly distributed throughout a 365 day year.
The probability, p(n), of winning a prize when you are the nth person is line is:
(probability that none of the first n−1 people share a birthday)*( probability that you share a birthday with one of the first n−1 people)
So,The first person can't have the same birthday as anyone less by themselves, so lets look at the second person. At the point where we add the second person there is a 364/365 chance of them not sharing a birthday with the previous person. When we add the 3rd person there is there is a 363/365 chance of them not sharing a birthday and so on such that the (n-1)th person when added has a probability of not forming a share of (365 -n -2)/365. We can multiply these together to get the probability that none of first (n-1) people share their birthday.
Therefore the position in line that has highest chance of winning is 20th.
We want to see which position has the largest probability of winning the prize. We will find that the 18th person has the largest probability of winning.
We know that a person only will win the prize if that person has the same birthday that some in front of him/her.
So, the probability that the n-th person wins the prize is given by:
(probability that none of the persons in front share a birthday)*(probability of sharing a birthday with some of the n - 1 people in front).
Let's find the first one.
The first person can have a birthday in any of the 365 days.
The second person must not have the same birthday, so there are 364 options remaining.
The probability of this is just
p₂ = 364/365
For the third person, we have the same thing, this time, 363 remaining options:
p₃ = 363/365
For the (n - 1) person the probability is:
pₙ₋₁ = (365 - n + 2)/365
And the n-th person must share a birthday with some of the n persons in front of him, so there are (n - 1) options to choose, so the probability is:
pₙ = (n - 1)/365
Then, the joint probability is:
P = p₂*p₃*...*pₙ
[tex]P = \frac{364*363*...*(365 - n + 2)*(n - 1)}{365^{n-1}}[/tex]
Now we have the equation, we just need to solve it for n such that we maximize the value of P in the range n ∈ [1, 50]
This is actually a really hard thing to find, but what you can notice, is that each time that n increases by 1, the denominator increases 365 times.
While the numerator increases by a factor:
(365 - n - 1)*n/(n - 1)
So we need to find the value of n such that the thing above is equal or smaller than 365.
Let's solve:
(365 - n - 1)*n/(n - 1) = 365
(365 - n - 1)*n = 365*n - 365
364*n - n^2 - 365*n + 365 = 0
-n^2 - n + 365 = 0
This is just a quadratic equation, the solutions are:
[tex]n = \frac{1 \pm \sqrt{1 + 4*365} }{-2}[/tex]
We only care for the positive solution, so we take:
[tex]n = \frac{1 - \sqrt{1 + 4*365} }{-2} = 18.6[/tex]
So, for the 19th person, the probability of winning will be smaller than for the 18th person, this happens because the numerator increased by a smaller factor than the denominator.
This means that the 18 person has the largest probability of winning.
If you want to learn more, you can read:
What is the equation of the line described below written in slope-intercept form?
the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0
y=-3x+1
y= 2x-1
y=2x + 1
Answer:
y = - (1/2) x + 1
Step-by-step explanation:
The given equation of the line is:
2 x - y - 7 = 0
solving for y gives:
2 x - 7 = y
so y = 2 x - 7
where the slope is "2", which is fundamental to know in order to construct a perpendicular line to it by using the "opposite of the reciprocal" of the given slope.
So in our case, the slope of the perpendicular line must be: "- 1 / 2" (negative one half).
now we can build the equation of the new line, using this slope and requesting the point (4, -1) to be in it:
y = - (1/2) x + b
-1 = - (1/2) (4) + b
-1 = - 2 + b
solve for b:
b = 2 - 1 = 1
Then the equation of the perpendicular line is:
y = - (1/2) x + 1
y= -1/2 x+1
Step-by-step explanation:
2x-y-7=0
2x-7=y
y=2x-7
and is this right or do I change to it ?
Helppp pleaseeee sssjejejheje
Answer:
i cant see all of it
Step-by-step explanation:
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below.
Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
66 + 36 = 3 (22 + 12)
What statement best describes Gary’s error?
Gary did not use correct factors for 66 in the equation.
Gary did not use correct factors for 36 in the equation.
Gary did not use two equivalent expressions in the equation.
Gary did not use the greatest common factor in the equation.
Answer:
Gary did not use the greatest common factor in the expression.
Step-by-step explanation:
Both factors of 36 and 66 are correct.
Gary also used equivalent expressions. I hope this helps.
Answer: Gary did not use the greatest common factor in the equation.
Step-by-step explanation: Gary did not use the Greatest common factor because the greatest common factor would be 33
can we conclude that any association that is found in the sample
Answer:
yes
Step-by-step explanation:
How many 6 1/4 inch pieces of fabric can be cut from a 75 inch rool
Answer:
12
Step-by-step explanation:
75 divided by 6 1/4 is 12.
Will give BRAINLIEST
Answer:
b
Step-by-step explanation:
Answer:
(0, 4)
Step-by-step explanation:
g(x)=-3x+4
y intercept is (0, 4)
solve for X PLEASEEE
2x-3+3=x+5
Answer:
X=5
Step-by-step explanation:
3+3 is the example and x+5 will be 5+5 since it will be the same. So 2 5
Answer:
X=5
Step-by-step explanation:
hmmmmmm ok
2x-3+3=x+5 You need to even out each side of the equation so
2x=x+5
2x5 is equivalent to 5+5 so x=5.
how many sixths are there in 5/12
Answer:
Step-by-step explanation:
There are 20 sixths in 5/12
A school district orders 267 boxes of pencils. Each box contains 100 pencils. If the pencils are to be shared evenly amongst 10 classrooms, how manny will each class recive?
Answer:
Each class will receive 2670 pencils
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shaped distribution with a mean of F and a standard deviation of F. Using Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within standard deviations of the mean? What are the minimum and maximum possible body temperatures that are within standard deviations of the mean? At least nothing% of healthy adults have body temperatures within standard deviations of F. (Round to the nearest percent as needed.)
Answer:
At least 89% of the data
Minimum = 96.34 F
Maximum= 100.06 F
Step-by-step explanation:
According to the Chebyshev's theorem 89% of the data are within the 3 standard deviations of the mean.
The mean body temperature is 98.20 F and standard deviation is 0.62 F
Mean- 3SD= 98.20 F- 3(0.62)= 98.20 F- 1.86= 96.34 F
Mean + 3SD= 98.20 F + 3(0.62)= 98.20 F+ 1.86= 100.06 F
What is the slope of the function?
Answer: Your answer should be, (4)
Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hours later and traveled in the opposite direction with an average speed of 70 km/h. Find the number of hours Gabriella needs to travel before they are 410 km apart.
a) 1 hour
b) 3 hours
c) 4 hours
d) 2 hours
Answer:
b) 3 hours
Step-by-step explanation:
Given;
speed of Willie , s = 40 km/h
speed of Gabriella, s = 70 km/h
when they are 410 km apart:
Willie's time = t
Gabriella's time = t- 2
2 hours later, the position of Willie = 40t
2 hours later, the position of Gabriella = -70 (t-2) (since he is traveling in opposite direction)
the difference in their positions = 410 km
40t - {-70 (t-2)} = 410
40t -{-70t + 140} = 410
40t + 70t - 140 = 410
110t = 410 + 140
110t = 550
t = 550 / 110
t = 5 hours
Gabriella's time = t- 2
Gabriella's time = 5 - 2 = 3 hours
Thus, Gabriella needs to travel 3 hours before they are 410 km apart.
PLEASE HELP DUE IN LIKE 5 MINUTES (15 PTS)
8(t+2)-3(t-4)=6(t-7)+8
Please show all work and answer! THANKS SO MUCH!!!
Answer:
T=62
Step-by-step explanation:
Answer:
T= 62
Step-by-step explanation:
First you need to distribute
8t+16-3t+12=6t-42+8
Next you need to simplify the problem
5t+28=6t-34
-5 +34 -5.+34
62=1t
/1. /1
t=62
Sorry if it's not specific enough
Determine if the ordered pair (1,4) is a solution of 5y - 2x = 16
Show work
Answer:
No, it is not
Step-by-step explanation:
5(4) - 2(1) = 16
20 - 2 = 16
18≠16
إعراب كلمة (الأزهار) في جملة (قطفت
الأزهار من الحديقة) هو
Answer:اين الجملة؟
Step-by-step explanation:
Write the following comparison as a ratio reduced to lowest terms.
44 feet to 9898 yards
Answer:
22:4949
Step-by-step explanation:
a company claims that their new bottle holds 25% more laundry soap. If their original container held 53 ounces of soap, how much does the new container hold?
Answer:
25% of 53 is 13.25 so the new bottle should hold 66.25 ounces or 13.25 mor than the regular bottle
Step-by-step explanation:
A model train is 153.4 inches long. Each car in this train is 25.8 inches in length. How many cars are in the train
Answer:
5
Step-by-step explanation:
Andre is flying a kite. Given AC = 18 inches and BE = 9 inches, calculate the area of the kite.
Answer:
b
Step-by-step explanation:
The area of a kite can be found, given the lengths of its diagonals
The correct option for the area of the kite ABCD is option C;
C) 162 square inches
The reason the selected value is correct is as follows:
The given parameters in the kite ABCD are;
AC = 18 inches
BE = 9 inches
The required parameter:
The area of the kite
Solution:
The area of a kite is given by the product of the lengths of the diagonals divided by 2
Therefore, we have;
[tex]\mathbf{The \ area \ of \ the \ kite \ ABCD} = \dfrac{Length (AC)\times Length (BD)}{2}[/tex]
The length of BD = BE + DE
BE = DE Given that AC is a perpendicular bisector of BD, by the properties of a kite
∴ BD = BE + BE = 2 × BE by substitution property
Therefore;
[tex]The \ area \ of \ the \ kite \ ABCD = \mathbf{\dfrac{Length (AC)\times 2 \times Length (BE)}{2} }= AC \times BE[/tex]
Which gives;
The area of the kite ABCD = 18 inches × 9 inches = 162 square inches
Learn more about the area of geometric shapes here:
https://brainly.com/question/16707557
A delivery vehicle made a stop at a hospital to deliver a number of packages Before it made its stop, there were 35 boxes. After the stop, there were 28 boxes. If each box weighs 28.3 pounds, how many pounds was the combined weight of the delivery made to the hospital?
Answer:
283lbs
Step-by-step explanation:
Estimate $12.28+$0.82 by rounding to the nearest whole number
Answer:
$13
Step-by-step explanation:
Answer:
$13.00
Step-by-step explanation: