Answer:
Length of the arc = 10. 26
Step-by-step explanation:
14 × 11 / 15
= 154 / 15
= 10.26
Length of the arc = 10. 26
Hope this answer helps you :)
Have a great day
Mark brainliest
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight will be delayed is 0.08. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining if the flight leaves on time? Round your answer to the nearest thousandth.
Answer:
0.109 = 10.9% probability that it is raining if the flight leaves on time.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Conditional probability:
Event A: Leaves on time
Event B: Raining
Probability that the flight will be delayed is 0.08.
So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]
The probability that it will not rain and the flight will leave on time is 0.82.
0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:
[tex]P(A \cap B) = 0.1[/tex]
What is the probability that it is raining if the flight leaves on time?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]
0.109 = 10.9% probability that it is raining if the flight leaves on time.
Which of the following is equivalent to the expression log3(a5bc2)?
A. (log35a)(log3b)log32c
B. (5log3a)(log3b)2log3c
C. log35a+log3b−log32c
D. 5log3a+log3b−2log3c
Answer:
10log10(3)abc
The equivalent expression for the log function log3(a^5bc^2) is 5log3a+log3b−2log3c
Logarithmic functionsLogarithmic functions are expressed as the inverse of exponential functions.
Given the logarithmic expression
log3(a^5bc^2)
Since product are written in form of addition, hence;
log3(a^5bc^2) = log3(a^5) + log3(b) + log3(c^2)
The power will be carried to the back of the log function;
log3(a^5bc^2) = 5log3(a) + log3(b) + 2log3(c)
This gives the equivalent expression for the log function log3(a^5bc^2)
Learn more on logarithmic expression here: https://brainly.com/question/25710806
I need help??????????????
Answer:
f(n) = 4n + 16
Step-by-step explanation:
n is the nth number in the sequence
plug in the first 3 to check the rule:
4(1) + 16 = 4 + 16 = 20
4(2) + 16 = 8 + 16 = 24
4(3) + 16 = 12 + 16 = 28
it works
1. Let ()=−(+2)2(+)3(−5)(−3)2(+6)3.
A. Let D= 10. Create a sign chart to solve ()≥0 with this value for D. Write your solution in interval notation. Solutions without sign charts will receive a score of zero.
C. Let D= -3. Create a sign chart to solve ()≥0 with this value for D. Write your solution in interval notation. Solutions without sign charts will receive a score of zero.
what is the mean mark of 847 ÷ 30?
Answer:
Step-by-step explanation:
The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.55 oz. Suppose we take a random sample of 56 bottles filled by this machine. So, 75% of the sample means will be less than what value
Answer:
0.9836
Step-by-step explanation:
If X + Y means X is the brother of Y, X - Y means X is the sister of Y, and X * Y means X is the father of Y, then which of the following means that C is the son of M?
(1) M-N * C + F
(2) F-C + N * M
(3) N +M-F * C
(4) M * N-C + F
(5) M-N+F * C
Answer:
4
Step-by-step explanation:
Based on this question, addition means the first number is the brother of the other, subtract means the first number is the sister of the other and multiplying means the first number is the father of the other.
We see 4 is literally multiplying M by N-C, meaning N is the sister of C and M is the father of N and C.
Max has 4/5 qt of apple juice. He drinks 1/2 qt of it. How many apple juice does he have left? (Give your answer in quarts)
A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.)
Face Value Frequency Expected Frequency
1 14 ?
2 33 ?
3 15 ?
4 14 ?
5 30 ?
6 14 ?
Required:
a. State the null hypothesis.
b. State the alternative hypothesis.
c. What are the degrees of freedom?
Answer:
Die is not fair given that Pvalue< 0.05, hence we reject Null hypothesis
a) H0: Die = fair
b) Ha : Die ≠ fair
c) df = 5
Step-by-step explanation:
The expected frequency of every face values = 20
a) state Null hypothesis
H0: Die = fair
b) Alternate Hypothesis
Ha : Die ≠ fair
c) degree of freedom
df = ( n - 1 )
= ( 6 - 1 ) = 5
n = sample size ( number of faces a die has )
Note : After conducting hypothesis test
Pvalue ≈ 0.0026
test statistic ≈ 18.30
Hence we can conclude that die is not fair given that Pvalue < 0.05, hence we reject Null hypothesis
Substitute the isolated variable into the second equation. I need help with this, i don’t understand.
Answer:
Step-by-step explanation:
Substitute the value for y or x into the equation thats listed with it.
For the first one, substitute 3 in place of y.
3x + 6 y = 60 turns into
3x + 6 * 3 = 60
3x + 18 = 60
3x = 60-18
3x = 42
x = 42/3
x = 14
Apply the same to the other equations
10x + 4y = 70 turns into
10 * 5 + 4y = 70
Then solve for y
How many inches are there in 3 yards?
A. 108 in.
B. 96 in.
C. 72 in.
D. 48 in.
Answer:
108
Step-by-step explanation:
3 yards equal 9 feet and 1 foot equals 12 inches so that means do 12 x 9 and you get 108
The correct option is A.
How to convert feet to yards?Feet ÷ 3 = 1 yards. yard is 3 feet long, so all you have to do is divide the number of feet by 3 to get the number of yards for your measurement
We know that,
1 feet is equal to 12 inches.
1 feet = 12 inches.
1 yard = 36 inches.
3 yards = 36 × 3 = 108 inches.
3 yards = 108 inches.
Therefore, 108 inches are there in 3 yards.
Learn more about yard and inches here:
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In recent years, business failures in the United States numbered 63509. The chemical industry accounted for 9499 of these business failures. The Mid-West states accounted for 7900 of the business failures. Suppose that 1270 of all business failures were chemical businesses located in the Mid-West. A failed business is randomly selected from this list of business failures. What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West
Answer:
0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Failed business in the Midwest.
Event B: Chemical industry.
Probability of failed business being in the Mid-West:
7900 out of 63509. So
[tex]P(A) = \frac{7900}{63509}[/tex]
Probability of a failed business being a chemical industry in the Mid-West.
1270 out of 63509. So
[tex]P(A \cap B) = \frac{1270}{63509}[/tex]
What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1270}{63509}}{\frac{7900}{63509}} = \frac{1270}{7900} = 0.1608[/tex]
0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.
the perimeter of a rectangle is 40 feet. if the lenght is 15 feet, 6 inches, what is the width
please answer this , like ASAP
Answer:
let total be U and strawberry be S and.apple be A .
now
n[U]=200
n[S]=56% 0f 200=112
n[A]=44%of 200=88
n[A n S]=30%of 200=60
now
[tex] \bar {A U S}=?[/tex]
we have
n[U]=n[A] +n[B]-n[ A n B]+[tex] \bar{A U S}[/tex]
[tex] \bar{A U S}[/tex]=200-112-88+60=60
option C. 60 is a required answer.
Hope this help!!!
Have a nice day!!!
it would be nice if anyone could help
========================================================
Explanation:
Focus on the upper semicircle. It's composed of the arc pieces that are 30 degrees, x degrees, and y degrees. The y is the missing unmarked portion of the upper semicircle.
Subtract the 30 and y degree angles, divide by 2, and set that result equal to 10. This will help us solve for y
(30-y)/2 = 10
30-y = 10*2
30-y = 20
-y = 20-30
-y = -10
y = 10
Because the 30, x and y arcs form a semicircle, this must mean the three arcs add to 180 degrees
30+x+y = 180
30+x+10 = 180
x+40 = 180
x = 180-40
x = 140
what’s the answerrr..........
Answer:
D.90
the answer is 90 because it only flips once
Which is a simplified form of the expression -4(n + 1) – (n + 2)?A.2n + 3B.-3n – 2C.-4n – 5D.-5n – 6
the answer is d. -5n - 6 :)
PLS HELP ASAP !!! PLSSS !!
Answer:
74
Step-by-step explanation:
the lines r parallel and the angle on the same side
Answer:
74°
Step-by-step explanation:
..........................
What is the answer?
Answer:
2.- 8.0 in.
Step-by-step explanation:
8.1 in
Step-by-step explanation:
A^2+B^2=C^2
49+16= 65
square root of 65≈8.06
round up to 8.1
Po is an oncologist with seven patients in their care. the probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82. what is the probability that four of the patients are still alive after five years?
Answer:
0.0923 = 9.23% probability that four of the patients are still alive after five years.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they are still alive after five years, or they are not. The probability of a patient being alive is independent of any other patient, which 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.
Po is an oncologist with seven patients in their care.
This means that [tex]n = 7[/tex]
The probability that a patient will survive five years after being diagnosed with stage three breast cancer is 0.82.
This means that [tex]p = 0.82[/tex]
What is the probability that four of the patients are still alive after five years?
This is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7,4}.(0.82)^{4}.(0.18)^{3} = 0.0923[/tex]
0.0923 = 9.23% probability that four of the patients are still alive after five years.
Find the point-slope equation for the line that passes through the points (2, 1) and (-2, 5). Use the first point in your equation.
Answer:
y = -x +3
Step-by-step explanation:
first find the slope
m = (y2-y1) / (x2-x1)
m = (5-1) / (2--2) = -1
note that it does not matter which points you chose to be second or first
use point-slope equation
y - y1 = m ( x - x1 )
y - 1 = -1 ( x - 2)
y = -x +2 + 1
y = -x +3
please if you find my answer helpful mark it brainiest
Answer:
y=-x+3
Step-by-step explanation:
Gradient(m)= y1-y2÷x1-x2
=1-5÷2-(-2)
=-4÷4
=-1
therefore m= -1
y-y1=m(x-x1)
y-1=-1(x-2)
y=-x+2+1
y=-x+3
What is the area of triangle in centimeters squared?
the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area
Perimeter = 2(length+breadth)
326= 2(98+b),
breadth= 65 cm
Area of rectangle = l×b = 98×65= 6370cm²
Instructions: Find the area of the sector. Round your answer to the nearest tenth.
Can some one help please.
Answer:
[tex]area = \frac{30}{360} \times \pi(17)^{2} \\ =75.66002307395 \\ = 76in ^{2} [/tex]
What is the same as 4/8
Answer:
1/2 or 2/4 or 8/16 or 16/32....
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
perpendicular, negative reciprocal
Step-by-step explanation:
a negative and a positive slope. 1/5 is the opposite of 5
How many milliliters are equal to 4 liters?
Answer:
4000 millilitres
Step-by-step explanation:
======================================
Work Shown:
1 liter = 1000 mL
4*(1 liter) = 4*(1000 mL)
4 liters = 4000 mL
If x-12y=-210and x-6y=90 then x =
Answer:
90
Step-by-step explanation:
x
−
12
y
=
−
210
=
=
−
210
x
−
6
y
=
90
=
=
90
x
=
=
90
Let's start! Take a look at all of these blocks. You can reach the number 10 by adding the blocks in many different ways. BUT, what is the LEAST number of blocks you need to add together in order to reach the number 10?
Answer:
the answer is 2. (6 and 4)
Step-by-step explanation:
6 + 4 = 10
I NEED HELP QIUCK PLZ HELP ME
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What is the area of the following circle?
Either enter an exact answer in terms of IT or use 3.14 for I and enter your answer as a decimal.
r = 5
units?
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25pi
Answer:
Area of circle is 25 π Or 78.5 .
Step-by-step explanation:
We know that
Area of circle = π × r ²
Here,
π = 3.14
r = 5
Substituting the given values in this formula
Area of circle = π × ( 5 ) ²
Area of circle = π × 25
multiplying the values, we get
Area of circle = 25 π Or 78.5