Answer:
0.647 = 64.7% probability that none of them has lost electricity in his/her household
Step-by-step explanation:
For each household, there are only two possible outcomes. Either they lost electricity, or they did not. The probability of a household losing electricity is independent of any other household. This means that the binomial probability distribution is used 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.
A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.
This means that [tex]p = 0.07[/tex]
6 members
This means that [tex]n = 6[/tex]
What is the probability that none of them has lost electricity in his/her household?
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.07)^{0}.(0.93)^{6} = 0.647[/tex]
0.647 = 64.7% probability that none of them has lost electricity in his/her household
3. What is the difference of a number and 10?
Answer:
the difference between a number and 10 simply means ,that number minus 10
hope it helps. please do me a favor and Mark me Brainleist please please please please please please please please please please please please please please please please please please please please.
Solve the equation square root of the quantity x plus 3 plus 4 equals 5 for the variable. Show each step of your solution process
Answer:
x=-2
Step-by-step explanation:
[tex]\sqrt{x+3}+4=5[/tex]
subtract 4 from each side
[tex]\sqrt{x+3} +4-4=5-4[/tex]
square both sides
[tex]\sqrt{x+3}^2=1^2[/tex]
so we have
[tex]x+3=1[/tex]
subtract 3 from each side
[tex]x+3-3=1-3[/tex]
so our answer is [tex]x=-2[/tex]
I would really appreciate it if someone could answer this I will give a brainlist:)
5.7
Pythagorean Theorem is a² + b² = c²
Answer:
x = 5.7
Step-by-step explanation:
Formula:
a² + b² = c²
4² + b² = 7²
16 + b² = 49
b² = 49 - 16
b² = 33
[tex]\sqrt{b^2} =\sqrt{33}[/tex]
b = 5.7
What is the distance between point A and point B on the coordinate plane?
HELP PLSS
Answer:
3
Step-by-step explanation:
If you count the units its three units away from each other.
7 (4 1/3) using distributive property
Answer:
so 7*4 is 28 and 7*1/3 is 2 an 1/3 so it would be 30 and 1/3
Step-by-step explanation:
Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane is measured in meters. A particle is moving clockwise around the circle of radius 1 m centered at the origin at the constant rate of 2 m/sec.How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point?
Missing information:
How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
Answer:
[tex]Rate = 0.935042^\circ /cm[/tex]
Step-by-step explanation:
Given
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
[tex]T(x,y) =x\sin2y[/tex]
[tex]r = 1m[/tex]
[tex]v = 2m/s[/tex]
Express the given point P as a unit tangent vector:
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
[tex]u = \frac{\sqrt 3}{2}i - \frac{1}{2}j[/tex]
Next, find the gradient of P and T using: [tex]\triangle T = \nabla T * u[/tex]
Where
[tex]\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j[/tex]
So: the gradient becomes:
[tex]\triangle T = \nabla T * u[/tex]
[tex]\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j][/tex]
By vector multiplication, we have:
[tex]\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}[/tex]
[tex]\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)[/tex]
[tex]\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5[/tex]
[tex]\triangle T = 0.935042[/tex]
Hence, the rate is:
[tex]Rate = \triangle T = 0.935042^\circ /cm[/tex]
Peter Company, a produce distributer, always tries to sell its oldest produce first.
Peter company
Answer:
what is this a maths problem
Write the expanded form in the condensed form.
9z+9z
Answer:
nine z plus nine z.
lol tell me.if.its wrong
this is what I need help with
Answer:
well thats high school stuff so pay attention in ur classes.
Step-by-step explanation:
f(x) = -x^2- 4x + 10
in the standard form
f(x) = a(x – h)^2 + k
Answer:
y = - ( x + 2 )² + 14
Step-by-step explanation:
f(x) = ax² + bx + c
f(x) = a(x - h)² + k (where (h, k) are coordinates of the vertex.
h = - [tex]\frac{b}{2a}[/tex]
~~~~~~~~~~~~
f(x) = - x² - 4x + 10
a = - 1, b = - 4, c = 10
h = - [tex]\frac{-4}{2(-1)}[/tex] = - 2
k = - ( - 2)² - 4( - 2) + 10 = 14
(h, k) = ( - 2, 14 )
y = - ( x + 2 )² + 14
What is the value of x?
Enter your answer in the box.
x =
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
The figure shows 2 right triangles, triangle K L J with right angle J and triangle L J M with right angle M. The measure of angle L K J is 30 degrees. The measure of angle L J M is 45 degrees. The length of side K L is 8 square root 2. The length of side L M is x.
Answer:
4
Step-by-step explanation:
I took the quiz, here's proof
The main office staff collected 55 cans, the counseling staff collected 89 cans, and the custodial staff collected 67 cans.
If a class of 27 students had a mean of 72 on a test, interpret the mean of 72 in the sense of a fair share measure of the center of the test scores.
The fair share measure would mean that the score of 72 would be the score all 27 students got on the test if they all had the same score.
A fair share measure of the center of the test scores is 72 be the score all 27 students got on the test.
We have given that
a class of 27 students had a mean of 72 on a test,
What is the fair share?An equitable or reasonable portion or share of something
The fair share measure would mean that a score of
72 be the score all 27 students got on the test.
If they all had the same score.
Therefore 72 was the score all 27 students got on the test.
To learn more about the fair share visit:
https://brainly.com/question/25957457
A small liberal arts college in the Northeast has 350freshmen. One hundred five of the freshmen are female. Suppose sixty freshmen are randomly selected (without replacement).Step 2 of 2:Find the standard deviation of the number of females in the sample. Round your answer to two decimal places, if necessary.
Answer:
The standard deviation of the number of females in the sample is 3.21.
Step-by-step explanation:
For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.
Standard deviation of the hypergeometric distribution:
We have that:
N is the population size.
n is the sample size.
s is the number of successes in the sample.
The standard deviation is given by:
[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]
A small liberal arts college in the Northeast has 350freshmen.
This means that [tex]N = 350[/tex]
One hundred five of the freshmen are female.
This means that [tex]s = 105[/tex]
Suppose sixty freshmen are randomly selected
This means that [tex]n = 60[/tex]
Find the standard deviation of the number of females in the sample.
[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]
The standard deviation of the number of females in the sample is 3.21.
Please help! (I also put what a median is)
Answer:
Step-by-step explanation:
1. 2
2. 3
3. 6
4. 2
5. 4
The point (-2, 4) is plotted on the coordinate plane.
The point is reflected across the y-axis. What are the coordinates of the reflected point
A (-2,-4)
B (-2,4)
C (2,-4)
D (2,4)
Answer:
I would say B
Step-by-step explanation:
Can someone help me with this?
Find x. Round to the nearest tenth.
xº
13
15
Answer:
x= 49.1
Step-by-step explanation:
Please see the attached picture for the full solution.
For the following right triangle, find the side length x.
Plz help me!! I’m having a bit of trouble
Answer:
x= 27
Step-by-step explanation:
can somebody help me with math TwT:
question one 1: Which number(s) are 6 units from zero on a number line?
1. 3
2. 6
3. -6
4. 12
----------------------------------------------------------------------------
Question 2 ^^: Which comparison is not correct?
1. -3 < 4
2. 3 < 6
3. 1 > -9
4. -8 > -6
tell me the answers also for question 1 its either one or more than one answer ^^ ty and please don’t steal my points :(
1. 12 (i think)
i don't know about question 2
Answer: -8 > -6
Step-by-step explanation:
Find the area of each triangle o the nearest tenth.
Answer:
A is , 18.1058 B is , 24.91575
Step-by-step explanation:
Sweet corn of a certain variety is known to produce individual ears of com with a mean weight of 8 ounces. A farmer is testing a new fertilizer designed to produce larger ears of com, as measured by their weight. He selects a random sample of 10 ents of com and determines their weight (in ounces). The data are as follows: 8.25 7359,05 8.00 8.25 8.75 9.00 7.60 8.45 8.55
Do the data provide convincing evidence at the a=0.05 level that the fertilizer had a positive impact on the weight of the com cars?
Answer:
We can conclude that there is significant evidence that dL fertilizer has a positive impact on larger weight of coms
Step-by-step explanation:
Given the data :
8.25 7.35 9.05 8.00 8.25 8.75 9.00 7.60 8.45 8.55
Using calculator :
Mean, x = 8.325
Standard deviation, s = 0.560
Null hypothesis :
H0: μ = 8
H1 : μ > 8
The test statistic,
(x - μ) / (s/sqrt(n))
(8.325 - 8) / (0.56 / sqrt(10))
0.325 / 0.177
= 1.835
The Pvalue ; using the Tstatistic calculator ;
α = 0.05 ; df = 10 - 1 = 9
Pvalue = 0.04985
Reject H0 ; if Pvalue is < α
Hence, since 0.04985 < 0.05 ; we reject H0
. We can conclude that there is significant evidence that dL fertilizer has a positive impact on larger weight of coms
find the sum of the odd numbers between 100 and 200
Answer:
50
Step-by-step explanation:
there are 100 numbers between 100 and 200
50 that are even 50 that are odd
Answer:
137 + 63 = 200
Step-by-step explanation:
Which three steps are correct when solving this quadratic equation by completing the square? X^2-10x=39
Step-by-step explanation:
Any answer that involes,
Step 1: Complete the Square
[tex] {x}^{2} - 10x = 39[/tex]
[tex]( \frac{ - 10}{2} ) {}^{2} = 25[/tex]
[tex] {x}^{2} - 10x + 25 = 64[/tex]
Step 2: Turn the left side into a binomial
[tex](x - 5) {}^{2} = 64[/tex]
Step 3: Solve for x.
[tex]x - 5 = + - 8[/tex]
[tex]x - 5 = 8[/tex]
[tex]x = 13[/tex]
OR
[tex]x - 5 = - 8[/tex]
[tex]x = - 3[/tex]
X=-3 or X=13
i don’t understand when it is all the same number
Answer:
5 preschoolers
Step-by-step explanation:
So this question states that yesterday, 10 preschoolers chose to play with stuffed animals and 10 different preschoolers chose to so other activities.
We can assume that there were 20 preschoolers at school yesterday (10 + 10 = 20).
From this given information, we can conclude that the preschoolers who would chose to play with stuffed animals would be the same amount at the preschoolers who would chose to do other activities.
Using all of the given information, we can also find that:
10/20 or 1/2 of the preschoolers would chose to play with the stuffed animals
and
10/20 or 1/2 of the preschoolers would chose to do other activities
We are then given that there are 10 preschoolers at school today. We are asked to find out how many of the preschoolers are expected to chose to play with the stuffed animals.
Previously, we found that 1/2 of the preschoolers yesterday chose to play with the stuffed animals. We can use this to find the expected amount of preschoolers who will chose to play with the stuffed animals today.
We can do this by multiplying 1/2 with the number of preschoolers today, or 10:
10 × 1/2 = 10/2 = 5
So it is expected that 5 preschoolers would chose to play with the stuffed animals today.
I hope you find my answer to be helpful. Happy studying.
If n = 5, which of the following is not equivalent to 24?
Answer:
there is no picture?
Step-by-step explanation:
Which of these is the algebraic expression for "5 less than 6 times some number"?
6t - 5
5t - 6
5 - 6t
6 - 5t
you can see that there is 8 cm in middle of the trapezoid. above the trapezoid, it says 6 cm, below the trapezoid, it says 11 cm. find the area of the trapezoid and answer this question in square cm.
Answer:
Step-by-step explanation:
The area of a trapezoid is the average of the parallel bases times the height or distance between the two bases
A=h(b1+b2)/2
Here we have h=8cm, b1=6cm, and b2=11cm so
A=8(6+11)/2
A=8(17)/2
A=4(17)
A=68 cm^2
In 5 days, a scientist wrote 3 pages of a research paper, At that rate, how many days will it take the scientist to write a 30- page research paper?
A 18 days C 25 days
B 30 days D 50 days
Answer:
50 days
Step-by-step explanation:
5/3 = 50/30
pls brainliest
solve for 26 - 4s = 9s.
26-4s=9s
⇔26=9s+4s
⇔26=13s
⇔s=2
Answer:
s = 2
Step-by-step explanation:
26 - 4s = 9s
add 4s to 4s and 9s
that equals 13
26/13 = 13s/13
s = 2