Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Using properties of parallelograms, RSTU is a parallelogram that has vertices R (-3,1), S (3,4), and T( 6,2(. What are the coordinates of point U.
Answer:
(0, -1)
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.
Hence for parallelogram RSTU, RS // TU and RU // ST
Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:
Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5
Slope of ST = (2 - 4) /[6 - 3] = -2/3
Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)
Slope of TU = (y - 2) /[x - 6]
Slope of RU = Slope of ST
(y - 1) / (x + 3) = -2/3
3y - 3 = -2x -6
2x + 3y = -6 + 3
2x + 3y = -3 (1)
Slope of RS = Slope of TU
0.5 = (y - 2) /[x - 6]
0.5x - 3 = y - 2
0.5x - y = 1 (2)
Solving 1 and 2 simultaneously gives:
x = 0, y = -1
Therefore the coordinates of U = (0, -1)
x-2y what is the coefficient of x
Answer:
the coefficient of x is an implied 1
any variable that's by itself without a coefficient has an implied 1
Step-by-step explanation:
I hope this helps :)
There are two x intercepts for y = (x + 2)(x - 1)
The first is
and the 2nd is
Answer:
(-2,0) and (1,0)
Hope this helps!
QUICK WILL GIVE BRAINLIEST.
Answer:
-5
Step-by-step explanation:
here u go! hope i got it fast enough!
Answer:-5
Step-by-step explanation:
When there are two minuses It becomes plus
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706
Answer:
0.1402
Step-by-step explanation:
For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.
This means that [tex]p = 0.44[/tex]
Suppose researchers choose 7 baby elk at random to monitor.
This means that [tex]n = 7[/tex]
What is the probability that more than 4 elk in the sample to survive to adulthood?
This is:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]
[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]
[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]
0.1402 probability that more than 4 elk in the sample to survive to adulthood.
Using the concept of binomial probability, the probability that more than 4 survive is 0.1402
Using the binomial probability formula :
[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex] p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7The probability that more than 4 survive can be defined thus :
[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]Using a binomial probability calculator :
[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]
[tex] P(x > 4) = 0.1402 [/tex]
Hence, the probability that more than 4 survive is 0.1402
Learn more : https://brainly.com/question/15929089
determine the scale factor of the dilation, if OA = 8 and OA' = 32
Answer:
The scale factor is 4
Step-by-step explanation:
32(end product) divided by 8(original) = 4
Answer:
scale factor = 4
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{32}{8}[/tex] = 4
A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and yellow
paint are needed to make 21 pints of the green paint?
Answer:
[tex]Blue = 12[/tex]
[tex]Yellow = 9[/tex]
Step-by-step explanation:
Given
[tex]Blue : Yellow = 4 : 3[/tex]
Required
Determine the number of pints of each to make 21 of green paints
First, calculate the total ratio.
[tex]Total = 4 + 3[/tex]
[tex]Total = 7[/tex]
The blue and the yellow pint can be represented individually as:
[tex]Blue = \frac{4}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
Number of blue paint calculated last week is:
[tex]Blue = \frac{4}{7} * 21[/tex]
[tex]Blue = {4} * 3[/tex]
[tex]Blue = 12[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * 21[/tex]
[tex]Yellow = {3} * 3[/tex]
[tex]Yellow = 9[/tex]
Translate the statement into an algebraic expression. (Use "w" as a variable. Do not use "$" in your answer.
Mike had $184 and he is earning $50 per week.
Answer:
Cost = 184+50w
Step-by-step explanation:
Given statement is "Mike had $184 and he is earning $50 per week".
Here, $184 is fixed and $50 increases per week.
Let w is the variable.
ATQ,
Cost = 184+50w
Hence, the algebraic expression for the given statement is 184+50w.
382 3/10- 191 87/100
Answer: 382 3/10- 191 87/100= 190 43/100
Simple math hope it helps u
Step-by-step explanation:
Find the value of X URGENT!
Answer:
x=13
Step-by-step explanation:
45=3x+6
3x=39
x=13
Re-write the expression
as a product with the
greatest common factor.
(54 +99)
A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for the number of students who own a pet?
Answer:
Reasonable prediction = 240 students
Step-by-step explanation:
Given that:
6 out of every 8 students own a pet.
Ratio = 6 : 8
Number of students surveyed = 320
Predicted number of students who own pets = x
Ratio = x : 320
As the relationship is proportional;
6 : 8 :: x : 320
Product of mean = Product of extreme
8x = 320 * 6
8x = 1920
Dividing both sides by 8
[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]
Hence,
Reasonable prediction = 240 students
Explain the similarity and differences of standard normal distribution and a normal distribution.
Answer:
Okau
Step-by-step explanation:
Normal distributions can have any mean and any (positive) standard deviation. The standard normal distribution is the one with mean zero and standard deviation one. The standard normal distribution is just a normal distribution scaled/standardized by the z-formula.
How are the signs of the coordinates of A and F related?
Answer:
1. A rotate 180° counterclockwise (x,y) --> (-x,-y) or
2. A reflect about the origin (0,0) (x,y) --> (-x,-y)
Step-by-step explanation:
A ( -2 , 4) F (2 , -4)
2 ways:
1. A rotate 180° counterclockwise (x,y) --> (-x,-y) or
2. A reflect about the origin (0,0) (x,y) --> (-x,-y)
Wish this is right...
Answer:
The coordinates of point A are (-2, 4), and the coordinates of point F are (2, -4).The x-coordinates, -2 and 2, are opposites, and the y-coordinates, 4 and -4, are opposites.
Step-by-step explanation:
!!edmentum answer!!
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
10
8
What is the square root of ten
Answer:
The square root of 10 is 3.16
Step-by-step explanation:
I hope that this helps you out..
in accounting, a claim against a customer is called
Answer:
It is called "an account receivable"
Step-by-step explanation:
Mel earns $15 per hour working at a bakery. How much does he earn if he
works for 5 hours?
A. $30
B. $155
C. $75
O D. $105
If two angles are supplementary and one angle is 81°, what does the second angle measure?
Answer:
Step-by-step explanation:[tex]\geq \\ \sqrt{x}[/tex]
Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?
Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Let,
x be the pounds of type A coffee used
y be the pounds of type B coffee used
According to given statement;
4.15x+5.25y=980.85 Eqn 1
y = 4x Eqn 2
Putting y=4x in Eqn 1
4.15x+5.25(4x) = 980.85
4.15x+ 21x = 980.85
25.15x = 980.85
Dividing both sides by 25.15
[tex]\frac{25.15x}{25.15}=\frac{980.85}{25.15}\\x=39[/tex]
Hence,
39 pounds of type A coffee were used.
Please help me. I'm only in like 4th grade and I have no idea what to do.
Answer:
it false
Step-by-step explanation:
trust me
Answer:
your answer is True. for a explanation look under this.
Step-by-step explanation:
Hello let's work out this problem together
lets split this in half so 112/8 plus x and 15 + 4x -7
let's start off with part one 112/8 = 14 plus 2 is 16.
now part 2
15 + 4 times 2 -7
15 plus 8 -7
15 plus 1 = 16
HHHEEEELLLLLP!!!!!!!!
Compare these rational numbers. Which of the following are true?
32) Write a compound inequality that represents the given graph:
A. 6≤x 10
D. 6
Answer:
6 < x ≤ 10
Step-by-step explanation:
The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).
That is: x > 6 and x ≤ 10
This can be written as: 6 < x ≤ 10
I really need help on this if you can show me how you got the answers as well thank you
Answer:
You included the zero from right side of decimal point, which you shouldn't have.
Answer:
You take the percentage times the total of money you have.
Housing is the cost of $465.75 ( 27%x $1725)
Food is the cost of $345 (20%x$1725)
Clothes is the cost of $155.25 (9%x$1725)
Gifts is the cost of $120.75 (7%x$1725)
Transportation is the cost of $224.25 (13%x$1725)
Entertainment is the cost of $86.25 (5%x$1725)
Miscellaneous is the cost of $51.75 (3%x1725)
Insurance is the cost of $86.25 (5%x%1725)
Health is the cost of $51.75 (3%x$1725)
Savings is the cost of $138 (8%x$1725)
Im so so sorry of this is wrong!!
I hope it helps if it is right!!
simple math! i'll
mark you if you get it right
Answer:
175
Step-by-step explanation:
Brainly plsss
The equation y-2/3=-2(x-1/4) is written in point slope form. What is the equation in slope-intercept form ?
Answer:
y = -2x + 7/6
Step-by-step explanation:
y-2/3=-2(x-1/4)
Distribute the -2
y-2/3=-2x+ 2/4
y - 2/3 = -2x + 1/2
Add 2/3 to each side
y - 2/3 + 2/3 = -2x + 1/2 + 2/3
Get a common denominator
y = -2x + 3/6 + 4/6
y = -2x + 7/6
Answer:
y=-2x+7/6
Step-by-step explanation:
The equation for point-slope is y-y1=m(x-x1), where (x1,y1) are one of the points on the line.
y-2/3=-2(x-1/4)
(1/4, 2/3) is the point and the slope is -2
The equation for slope-intercept is y=mx+b, where m is the slope and b is the y-intercept.
y=(-2)x+b **Substitute the slope into m**
(2/3)=-2(1/4)+b **Substitute the points in as x and y**
2/3=-2/4+b
14/12=b **Add 2/4 to both sides**
14/12 is the same as 7/6
7/6 is the y-intercept
y=-2x+7/6
sally collected 15 seashells, but 1/3 were broken. how many shells were broken?
Answer:
5 shells were broken.
Step-by-step explanation:
To find how many shells were broken, we must multiply the amount broken to the total to find the number of shells broken.
1/3 * 15=5
NOT GRADED.
FIND THE MEASURE OF THE INDICATED ANGLE IN EACH TRIANGLE.
Answer:
The angle in the box is always 50 and that other acute angle is 46
Hope this helps
Step-by-step explanation:
Answer:
m∠B = 44°
Step-by-step explanation:
∑ of all angles in a triangle = 180°.
Note that m∠C = 90° (based on the definition of a right angle).
Note that m∠A = 46° (given).
Set the equation:
Total (180) = 90 + 46 + m∠B
Isolate the term, m∠B. First, simplify. Combine like terms:
180 = (90 + 46) + m∠B
m∠B + (136) = 180
Next, note the equal sign, what you do to one side, you do to the other. Subtract 136 from both sides:
m∠B + 136 (-136) = 180 (-136)
m∠B = 180 - 136
m∠B = 44°
44° is the measurement of the indicated angle B.
~
Write fraction or mixed number as decimal 27/75
9/3. 5/14 hope that's the right awnser
0.36. i just had this question and got it right. :)
Three runners are running a relay race. The first runner runs 3 2/3 miles , the second runner runs
2 2/3miles, and the last runner runs 1 1/6 miles.
How many miles was the whole race?
Answer:
I think its uh carrot
Step-by-step explanation: