Answer: the answer is C which is .0287
The probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:
b) 0.0250
To find the probability of it raining at most 2 days in a week, we need to calculate the probability of it raining 0, 1, or 2 days in a week and then add those probabilities together.
Let's use the binomial probability formula for this calculation:
The probability of getting exactly "k" successes in "n" trials, each with a probability "p" of success, is given by:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
C(n, k) is the binomial coefficient, equal to n! / (k! * (n - k)!)
p is the probability of success (rain in this case)
n is the number of trials (number of days in a week)
In our case, the number of trials (n) is 7 days in a week, and the probability of rain (p) is 0.70.
Now, let's calculate the probabilities for k = 0, 1, and 2:
Probability of raining 0 days in a week:
P(X = 0) = C(7, 0) * 0.70^0 * (1 - 0.70)^(7 - 0)
Probability of raining 1 day in a week:
P(X = 1) = C(7, 1) * 0.70^1 * (1 - 0.70)^(7 - 1)
Probability of raining 2 days in a week:
P(X = 2) = C(7, 2) * 0.70^2 * (1 - 0.70)^(7 - 2)
Now, add these probabilities together to get the probability of it raining at most 2 days in a week:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Calculate the values using the binomial coefficients:
C(7, 0) = 1
C(7, 1) = 7
C(7, 2) = 21
Now, calculate the probabilities:
P(X = 0) = 1 * 1 * 0.3^7 ≈ 0.0002187
P(X = 1) = 7 * 0.7^1 * 0.3^6 ≈ 0.002775
P(X = 2) = 21 * 0.7^2 * 0.3^5 ≈ 0.016215
Finally, add these probabilities together:
P(X ≤ 2) ≈ 0.0002187 + 0.002775 + 0.016215 ≈ 0.0192087
Therefore, the probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:
b) 0.0250
So, the correct answer is (b) 0.0250.
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find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?
=> 6- 4x +6x -8x +6 = 0
=> 12 -6x = 0
=> 6x = 12
=> x = 2
Figure ABCD is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Reflected along x axis
Translated 7 units to the right
Step-by-step explanation:
If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)
If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:
It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)
It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)
Hope that's better
what’s 75 percent of 120
Answer:
90
Step-by-step explanation:
q
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
Answer:
heres a graph
Step-by-step explanation:
Answer: there you go
Step-by-step explanation:
If one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, then how long would it take 8 workers and 5 bandits to lay 1400 bricks?
It will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.
Given that one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, to determine how long it would take 8 workers and 5 bandits to lay 1400 bricks, the following calculation must be performed:
10 - 3 = 7 5 x 7 + 3 x 10 = X 35 + 30 = X 65 = X 1400/65 = X 21.53 = X
Therefore, it will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.
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(100 POINTS) URGENT PLEASE HELP
A class is selling granola bars for a fundraiser. They earn $0.75 for every granola bar sold. They have ordered 300 granola bars for the sale. The function P(b) = .75b represents the profit (P) the class earns for each bar (b) they sell. Find a reasonable domain and range for this scenario.
If you post a random answer just to get the points, I will report you with several accounts until you get banned.
Answer:
I'm not sure but I'll try help you work it out
Step-by-step explanation:
You need to do 300 x 0.75
Then you need to do 0.75 + 0.75, 300 x 1.50
Now compare the answers
A reasonable domain could be a bake sale <3
Sorry I tried to help
PLEASEEEE HELPPPP ASAPPPP
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )
PLEASE HELP!! name the property of equality that the statement illustrates:
if x = y , then -2x = -2y
The multiplication property of equality states that if [tex]x=y[/tex] is true, then [tex]xz=yz[/tex] must also be true.
The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the: Multiplication Property of Equality.
How to Identify the Property of Equality?The properties of equality describe the relation between the two sides of an equation and state that the two sides remain equal even after applying the same arithmetic operation on each side.
The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the Multiplication Property of Equality.
This property states that if you multiply both sides of an equation by the same nonzero number, the equality still holds true.
In this question, both sides of the equation are multiplied by -2, maintaining the equality between the expressions.
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Answer to this ?……..
If you filled out the chart fully:
a = 4
b = 7
c = 6
d = 9
e = 17
Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:
7:10
There is a greater chance of picking a boy than a girl where there is three more boys than girls.
Find the greatest common factor of 15c and 8c2.
A karaoke marked at ₽3,750 was sold for ₽3,225. What was the rate of discount?
Answer:
Step-by-step explanation:
14% increase
Find the slope for (3,1)and (4,3)
Answer:
2
Step-by-step explanation:
slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points
We are given the points (3,1)and (4,3)
Given these points we can define our variables
(x1,y1) = (3,1) so x1 = 3 and y1 = 1
(x2,y2) = (4,3) so x2 = 4 and y2 = 3
Now that we have defined our variable, we plug them into the formula
Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3
* plug in values *
[tex]\frac{3-1}{4-3}[/tex]
subtract 3 and 1 , and 4 and 3
[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]
the slope is 2
What is the first step in solving the equation 4b - 7 = 13.
Answer:
Add 7 to both sides of the equation [it would look like: 4b - 7 +7 = 13+7]
Step-by-step explanation:
If you want 10 points answer my question
Plz
The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two numbers
Answer:
The two numbers are:
30 and 18
Step-by-step explanation:
a + b = 48
a - b = 12
From the first eq.
a = 48 - b
Replacing this last value in the second eq.
(48 - b) - b = 12
48 - 2b = 12
48 - 12 = 2b
36 = 2b
36/2 = b
18 = b
from the first eq.
a + 18 = 48
a = 48 - 18
a = 30
Check:
from the second eq.
a - b = 12
30 - 18 = 12
what are all the numbers through 10 and 100 that are divisible by 6 and 9
Answer:
6,12,18,24,36,42,48,5,60,66,72,78,84,90,96
Step-by-step explanation:
got a friend help
There are 24 hours in a day. James sleeps 8 hours each night what fraction of the day does James sleep?
Answer:
1/3 of the day
Step-by-step explanation:
8/24 simplifies to 1/3
Are two similar triangles necessarily congruent? Why?
if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle
How to expand Expand 7n-3+1-2n
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
[tex]15yx^{2} -34y-16[/tex]
Answer:
15yx^2-34y-16
Step-by-step explanation:
What is the value of q
Answer:
Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
What does the point (12,45) represent?
A
For 45 dictionaries, the cost is $12.
B The cost of each dictionary is 12 divided by $45.
C
The cost of 12 dictionaries is $45.
D
The total cost of the dictionaries is 12 times $45.
Mandy is setting up for a reception. For the number of seats needed, she knows she can use either 8 seats at each table with none left over, or 10 seats at each table with none left over. Which is the least number of seats she is setting up?
simply the expresstion: 5+8 (3 + x )
Answer:
29+8x
Step-by-step explanation:
5+8(3+x)
Expand 8(3+x)
= 5+24+8x (add the numbers)
= 29+8x
Your piggy bank contains quarters and dimes. There are 572 coins in the piggy bank totaling $92. How
many quarters and dimes are in the piggy bank
Answer:
340 dimes and 232 quartersStep-by-step explanation:
Let the number of dimes be x and quarters be y.
Dime = 10 cents, quarter = 25 cents, total amount is $92 = 9200 centsWe have equations:
x + y = 57210x + 25y = 9200Multiply the first equation by 10 and subtract from the second one:
10x + 25y - 10x - 10y = 9200 - 572015y = 3480y = 3480/15y = 232Find the value of x:
x + 232 = 572x = 572 - 232x = 3404. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
The zeros of
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
are
x=0,x=-2,x=-5x=0,x=−2,x=−5
EXPLANATION
The given function is
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
x(x + 2)(x + 5) = 0x(x+2)(x+5)=0
This implies that,
x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0
x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
x < - 5x<−5
When
x = - 10x=−10
y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0
The graph is below the x-axis.
- 5 \: < \: x \: < \: - 2−5<x<−2
When
x = - 3x=−3
y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0
The graph is above the x-axis.
- 2 \: < \: x < \: 0−2<x<0
when
x = - 1x=−1
y = -1(1)(4) \: < \: 0y=−1(1)(4)<0
The graph is below the x-axis.
Finally the interval,
x \: > \: 0x>0
when
x = 1x=1
y = 1(3)(6) \: > \: 0y=1(3)(6)>0
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above
Which of the following function rules represents the graph shown?
o f() = Xhy3
of(x) = 3 - X
Of(x) = -3х
Answer:
f(x) = 3 - x.......!!!!
I think so this is the. answer.....!!!
Solve. 8 3/5=3/4x−5 1/2 Enter your answer as a mixed number in simplest form in the box.
The value of x in the expression is 18(24/30).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
8(3/5) = (3/4)x - 5(1/2)
43/5 = 3x/4 - 11/2
43/5 + 11/2 = 3x/4
(86 + 55)/10 = 3x/4
141/10 = 3x/4
3x = 141 x 4 / 10
x = 564/30
x = 18(24/30)
Thus,
The value of x is 18(24/30).
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Type the correct answer in each box. If necessary, use / for the fraction bar(s). Find the solution for this system of equations. 12x 15y = 34 -6x 5y = 3 x = y =.
The value of x and y are 5/6 and 8/5 respectively
Given the systems of equations
12x + 15y = 34 ...................... 1 *1 -6x + 5y = 3 ..................... 2 * 3Solving the equations using the elimination method
12x + 15y = 34
-18x + 15y = 9
Subtract both expressions:
12x-(18x) = 34 - 9
12x+18x = 25
30x = 25
x = 5/6
Substitute x = 5/6 into equation 1 to have:
12x + 15y = 34
12(5/6) + 15y = 34
10 + 15y = 34
15y = 24
y = 8/5
Hence the value of x and y are 5/6 and 8/5 respectively
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which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)
Answer:
sin ( 180* + x ) = - x
Step-by-step explanation:
This is the correct answer