Probability of not raining and the flight leaving on time is equals to 0.320 .
De Morgan's law
P( A'∩ B') = P (A∪B)'
P (A∪B)' = 1 - P (A∪B)
P(A∪B) = P(A) + P(B) - P(A∩B)
According to the question,
Let Probability of rain = P(A)
= 0.07
Probability of flight delay =P(B) = 0.12
Therefore ,
Probability of rain and flight delay = P (A∩B)
= 0.87
Probability of not raining and flight on time = P( A'∩ B')
Substitute the values in the formula
P( A'∩ B') = 1 - [ 0.07 + 0.12 -0.87]
= 1- 0.68
= 0.32
= 0.320 ( nearest thousandth)
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If RS = x + 2 and ST = 2x, what is ST?
Answer:
ST = 2x
Step-by-step explanation:
if not please elaborate on the question.
2. Read "Lisa's Garden" and answer the question.
Lisa needs to determine the perimeter of her garden so she will know
how much fence she will need to build. What is the perimeter of Lisa's
garden in feet (ft)?
A
30 ft
B
38 ft
C.
120 ft
D
608 ft
5z^3 – 2z^4 – 9z^2 + 2
What is the degree of the polynomial?
Does this equation have a solution?
HELPPP PLEASE!!! I’M BEING TIMED!!!!
Answer:
y= -7x -27
Step-by-step explanation:
Yep sorry again this math is hard
Answer:
<
Step-by-step explanation:
Firstly, you can focus on the scientific notation and calculate which one is bigger. The left side is [tex]10^3[/tex] whereas the right side is [tex]10^4[/tex]. This shows that even if the number before this was bigger, the larger exponent of these two are the bigger number.
[tex]10^3 = 1000\\10^4 = 10000[/tex]
Meaning the correct sign would be the smaller than sign (<) as the right side is bigger than the left.
Hope this helps!
I don't get rational and irrational numbers... please explain :/
Illinois' population is now 12.5 million and decreasing by 0.1 million each year. On the other hand, Arizona's population is 6.9 million and increasing by 0.6 million each year. In how many years will the two states have the same population?
Answer:
8 years
Step by step guide:
100,000 x 8 = 800,000
600,000 x 8 = 4,800,000
6,900,000 + 4,800,000 = 11,700,000
12,500,000 - 800,000 = 11,700,000
22/7 - 4/7
A)2
B)2 4/7
C)2 5/7
D)3
Answer:
None of the option is correct.
The right answer is 18/7 or 2.57
Step-by-step explanation:
Do the ratios
4
7
and
1
5
form a proportion?
Write the polynomial that has factors of -15 and 3.
Answer:
Find the GCF of all the terms in the polynomial.
Express each term as a product of the GCF and another factor.
Use the distributive property to factor out the GCF.
Step-by-step explanation:
How do you solve f(x)=7
Answer:
7
Step-by-step explanation:
f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.
Mary decided she will run every 3rd day and play
tennis every 5th day. How many days until she will
run and plays tennis on the same day?
Answer: the 15th day
Step-by-step explanation:
Skip count by both numbers until you reach the first number they have
in common;
3, 6, 9, 12, 15, 28, 21, 24, 27, 30
5, 10, 15, 20, 25, 30, 35, 40
True or False? No matter how the colonial government was setup, England had the ultimate say within the colonies
Answer:
true
Step-by-step explanation:
England claimed the colonies, so they ruled over them.
I Need To Find How To Correct 3 Significant Figures The Value Of 18.75-(2.11)^2 Please Right Now
Answer:3.657 hope this helps
Which of these a example
Answer:
D`
Step-by-step explanation:
The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)
lolol lfeofviponvfnfuibouigb
f(x)=10x^2-5x-3, evaluate f(-3)
Answer:
f(-3)= 10(-3)^2 - 5(-3) - 3
=90 + 15 -3
f(-3) = 102
Step-by-step explanation:
Three
consecutive
inirgers
17
The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is
150 inches, find the dimensions.
Which ordered pairs are solutions to the inequality y-2x less than or equal to -3
Answer:
(0, −3)
(2, −2)
(1, −4)
(6, 1)
(−3, 0)
Step-by-step explanation:
try plugging them in, might seem tedious, but it's the best way to practice. if you plug in a pair and the left side of the equation is less than or equal to 6, it's the right answer.
Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the fuel efficiency for a speed of 60 mph?
3.65 mpg
33.90 mpg
36.52 mpg
38.55 mpg
The least-squares regression line equation gives the line that approximate the relationship between the variables in the fuel efficiency data
The fuel efficiency when the speed is 60 mph is approximately 38.55 mpg.
Reason:
The given least-squares regression line equation is presented as follows;
ln(Fuel Efficiency) = 1.437 + 0.541 × ln(speed)
Required:
The value of the fuel efficiency for a speed of 60 mph.
Solution:
The general form of the least-squares regression line equation is [tex]\hat y[/tex] = a + b·x
Where, in the current question, we have;
[tex]\hat y[/tex] = The predicted value = ln(Fuel Efficiency)
a = The y-intercept = 1.437
b = The slope = 0.541
x = The input value = ln(speed)
When the speed = 60 mph, we have;
ln(Fuel Efficiency) = 1.437 + 0.541 × ln(60) = 3.65204040816
Therefore;
[tex]Fuel \ Efficiency = e^{(1.437 + 0.541 \times ln(60))} \approx 38.55[/tex]
The fuel efficiency when the speed is 60 mph ≈ 38.55 miles per gallon
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Answer:
the person above me is correct.
Step-by-step explanation:
The polynomial x^3+ px^2-x-2 has x-1 as a factor. what is the value of p?
The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.
The value of p = 2.
How to find the value of p?Given:
The polynomial [tex]x^3+ px^{2}-x-2[/tex] contains x - 1 as a factor.
Comparing x - 1 with x - a then
Substitute the value of x = 1, then we get
[tex]$1^3+p*1^2-1-2 = 0[/tex]
[tex]$1^{3}+p \cdot 1^{2}-1-2=0$$[/tex]
Apply rule [tex]$1^{a}=1$[/tex]
[tex]$&1^{3}=1,1^{2}=1 \\[/tex]
[tex]$&1+1 \cdot p-1-2=0[/tex]
Multiply: p-1 = p
1+p -1-2=0
Group like terms
p+1-1-2 = 0
Add/Subtract the numbers: 1-1-2 = -2
p-2 = 0
Add 2 to both sides
p-2+2 = 0+2
Simplify
p = 2
Therefore, the value of p = 2.
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look at the photo.
Which expression is equivalent to the given expression? 10q +5
due at 5:30 pls help asap
A cinder block is sitting on a platform 20 m high. It weighs 79 kg. The block has _______ energy.
Answer:
This cinder block has gravitational potential energy.
This cinder block has 15 484 joules of potential energy
Step-by-step explanation:
PE = mass*gravity*height and g= 9.8 m/s^2
PE = 79 * 9.8 * 20
PE = 15 484
Which type of tax is income tax?
Answer:
B.) Progressive
Step-by-step explanation:
Its schedule of marginal tax rates imposes a higher income tax rate on people with higher incomes, and a lower income tax rate on people with lower incomes. The percentage rate increases at intervals as taxable income increases.
1:2 is equivalent to 200
Answer:
Use the Part = 1, as the numerator and use the Whole = 2, as the denominator. The part-to-whole fraction is 1/2
Meaning:
The Part is 1/2 of the Whole
Step-by-step explanation:
Please help me help please help me please help please
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Please can I check with you the answer for nbr 12?
Is it correct?
Answer:
B and C
Step-by-step explanation:
B = 2,4,6 =3,6C= 2,4,6,8,10,12 = 6,12Person 2 worked for 200 minutes and checked 1,325 comments every 5 minutes
Answer: 33.125
Step-by-step explanation:
So you would do 200 divdied by 5 which is 40 then you would do 1,325 divided by 40 which is the anwser 33.125. If you did it another way let me know.
Solve for x.
11
3
9.
9514 1404 393
Answer:
x = 33
Step-by-step explanation:
The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:
11×9 = 3x
x = 99/3 = 33
A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard
Answer:
31, 114 and 35
Step-by-step explanation:
I set up the equation as such:
(3x + 21) + (x + 4) + x = 180
then I combined like terms:
5x + 25 = 180
And then solving for x I get:
5x = 155
x = 31
And then plugged the solved x value into the terms to give:
(3(31) + 21) = 114
(31 + 4) = 35
alongside the found angle of 31.
Answer:
[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]
Step-by-step explanation:
Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].
We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].
Combining like terms on the left side gives [tex]5x+25=180[/tex].
Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].
Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].
So, the first angle is [tex]31^{\circ}[/tex].
The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].
The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].
So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!
The check that these angles work is left as an exercise to the reader.