[tex]A[/tex] denotes some event, [tex]\overline{A}[/tex] denotes the complement of [tex]A[/tex] that is [tex]\overline{A}[/tex]contains all the events that do not occur in A.
And, the value of [tex]P(\overline{A})[/tex] is, [tex]P(\overline{A}) = 0.994[/tex]
Used the concept of probability which states that,
[tex]P (A) + P(\overline{A}) = 1[/tex]
Where, [tex]A[/tex] and [tex]\overline{A}[/tex] are events.
When [tex]A[/tex] denotes some event, [tex]\overline{A}[/tex] denotes the complement of [tex]A[/tex] that is [tex]\overline{A}[/tex]contains all the events that do not occur in A.
Given that:
P(A) = 0.006
We used the formula of probability which stated that,
[tex]P (A) + P(\overline{A}) = 1[/tex]
Where, [tex]A[/tex] and [tex]\overline{A}[/tex] are events.
Substitute [tex]P (A) = 0.006[/tex] into the above formula,
[tex]0.006 + P(\overline{A}) = 1[/tex]
Subtract 0.006 on both sides,
[tex]P(\overline{A}) = 1 - 0.006[/tex]
Therefore, the value of [tex]P(\overline{A})[/tex] is,
[tex]P(\overline{A}) = 0.994[/tex]
So, If [tex]A[/tex] denotes some event, [tex]\overline{A}[/tex] denotes the complement of [tex]A[/tex].
And, [tex]P(\overline{A}) = 0.994[/tex]
To learn more about the probability visit:
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THEN FIND THE VALUE OF X
Answer:
Supplementary
x = 31
Step-by-step explanation:
The given angles are supplementary which means their sum is equal to 180
3x + 25 + 2x = 180 add like terms
5x + 25 = 180 subtract 25 from both sides
5x = 155 divide both sides by 5
x = 31
63 students went on to the zoo. S vans were filled with equal numbers of students and 3 students rode in a car. How many students were in each van?
Answer:
no of students 63
the answer is...
21
The legs of a right triangle each measure 44 inches. Find the length of the hypotenuse.
Answer:
Length of hypotenuse = 44√2 in²
Step-by-step explanation:
Given:
Length of legs = 44 in
So,
Perpendicular = 44 in
Base = 44 in
Find:
Length of hypotenuse
Computation:
Hypotenuse = √Perpendicular² + Base²
Length of hypotenuse = √44² + 44²
Length of hypotenuse = 44√2 in²
Here are the lowest temperatures recorded in the last 2 centuries for two US cities. How many more degrees colder is the record temperature for GA than FL?
Answer:
What are the temperatures
A triangle has side lengths of 25in, 30in, and 50 in. Classify it as acute, obtuse, or right. Please help me.
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
Using the idea of a "form factor", we find ...
f = a² + b² - c²
f = 25² +30² -50² = 625 +900 -2500 = -975
The form factor is negative, so the triangle is obtuse.
_____
Additional comment
The form factor, as defined above, classifies the triangle according to its sign:
f > 0 . . . acute
f = 0 . . . right
f < 0 . . . obtuse
The largest angle in the triangle can be found from ...
cos(C) = f/(2ab)
Here, it is C = arccos(-975/1500) ≈ 130.5416°
Unit 10: Circles Homework 6: Arc & Angle Measures **Please Help**
Answer:
you can download the app Socratic and it will tell you
Step-by-step explanation:
I use that app for all my classes
The measure of angle x is 72 degrees
Tangent:A tangent to a circle is a straight line which touches the circle at only one point.
The tangent TU and UV intersect at point U.
Therefore,
m∠x = 1 / 2 (arc VST - 108)
arc VST = 360 - 108 = 252
m∠x = 252 - 108 / 2
m∠x = 144 / 2
m∠x = 72°
learn more on tangent here; https://brainly.com/question/14022348
A Mustang GT on Missouri has a marked price of $60,000. If paid in cash you are to pay 15% less than the marked price. It also have a hire purchase plan which states to pay 30% of the marked price and $1000 monthly payments for 4 yrs.
A) Discount on Cash price.
B) Cash Price.
C) Amount Payable.
D ) Hire Purchase Price
E ) Difference between the Hire Purchase price and the Cash Price.
Answer:
A) Discount on Cash price. ($9,000 )
B) Cash Price. ($51,000 )
C) Amount Payable. ($51,000 )
D ) Hire Purchase Price ($66,000 )
E ) Difference between the Hire Purchase price and the Cash Price. ($15,000 )
Step-by-step explanation:
The following is the workings:
The GT Missouri marked price = $60,000
If paying cash,
Discount = 15%
(15/ 100 ) x $60,000 = $9,000
Actual Price (less discount) = $60,000 - $9000 = $51,000
If hire purchase,
Firstly, 30% marked price,
= (30/100) x $60,000 = $18,000
Monthly payment = $1000
Period = 4 years = 4 x 12 = 48 months
Total monthly payment,
$1000 x 48 = $48, 000
Therefore, total hire purchase payment
Monthly payment + initial 30% payment
= $18,000 + $48,000 = $66,000
Difference between hire purchase and cash price,
= $66,000 - $51,000 = $15,000
Pythagorean Theorem
a = ? b = 7 c = 13
Answer:
a = 10.95
Step-by-step explanation:
Pythagorean Theorem formula:
a² + b² = c²
a² + 7² = 13²
a² + 49 = 169
a² = 120
[tex]\sqrt{a^2} =\sqrt{120}[/tex]
a = 10.95
Where would the last point need to be in order to finish graphing a square using the points ( 1, 3) 5,3 and 5,7?
A. (3, 7
B. 1, 5
C 1, 7
D. 5, 1
Answer:
C
Step-by-step explanation:
Dk Metcalf is my son
Answer:
Dad, is that you?
Step-by-step explanation:
Need answer asap, will give brainliest.
Answer:
(-2,3)
Step-by-step explanation:
You can see that the purple is the new triangle. So look at the coordinate of the D. You can see that it is plotted at (-2, 3)
Answer:
(-2, 3)
to find the point of something you first find where uts standing on the x-axis (vertical line) and then where its standing on the y-axis (horizontal line)
Please help me! This is due tomorrow and I really need some help! Thank you.
Answer:
B. the mean is 59 inches
Step-by-step explanation:
if you add the number of inches together you get 413. 413 divided by 7 is 59. that is the mean.
Answer:
B: The mean wingspan is 59 inches.
Step-by-step explanation:
The mean is the average so when you add up all of the wingspans 53+59+59+60+60+61+61 you get 413, and to find the mean you would divide that by seven (413/7), because there are 7 students, which is 59.
What’s the work and answer? Please someone tell me
Answer:
The price for the forth top is $93
Step-by-step explanation:
Let the price of the forth top = y
(30+15+18+y) / 4 = 39
(63+y) / 4 = 39
63+y = 39 x 4
63+y = 156
y = 156 - 63
y = 93
(30+15+18+39) / 4 = 39.
Pls help me thanks so much
Answer:
I beileve its no
Step-by-step explanation:
What is the measure, in degrees, of angle z?
I’m not going to show answer options because I don’t want someone to just put anything :)
I DO NEED HELP THOO !
Explain how to tell 202/220 is not in simplest form
Answer:
An easy way to tell with a number like this is that both numbers are round, so they can both be divided by 2
Step-by-step explanation:
You can tell that it is not simplified if they are both even, as they can be divided by 2, or really, if both numbers have a common factor as a divisor.
For example, 3/6 has a common of factor by 3, 3/3 / 3/6 = 1/2.
A trip to the Rocky Mountains of Colorado from Denver will take 1 3/4 hours. Assuming we are 1/3 of the way there, how much longer in hours will the trip take?
9514 1404 393
Answer:
1 1/6 hours
Step-by-step explanation:
Assuming distance and time are proportional, 2/3 of the 1 3/4 hours remain:
(2/3)(7/4) = 14/12 = 1 1/6 . . . . hours remain
The trip will take 1 1/6 hours longer.
Answer:
the answer is 1 1/6 hours
Step-by-step explanation:
:)
Which equation shows that 30 is 6 times as many as 5?
Answer:
30 divided by 5
Step-by-step explanation:
Let A and B be two logically equivalent compound propositions. Then
Answer:
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Help!
Write a function, (), which has a maximum and a y-intercept of −3.
Answer:
a possible answer could be "f(x)= -x + 3"
Step-by-step explanation:
helppppp meeeeee the sum of the squares of three consecutive integer numbers is 1454. Find the numbers. but i found 21 22 and 23. you need to find the other set plzzz
Step-by-step explanation:
A=x
B=x+1
C=x+2
[tex] {x}^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 1454 \\ {x}^{2} + {x}^{2} + 2x + 1 + {x}^{2} + 4x + 4 = 1454 \\ 3{x}^{2} + 6x + 5 - 1454 = 0 \\ 3 {x}^{2} + 6x - 1449 = 0 \\ {x}^{2} + 2x - 483 = 0 [/tex]
I'm sorry but I can't use the calculator, I hope this helps you anyway.
Answer:
The two sets would be 21,22,23 and -21, -22, and -23
Step-by-step explanation:
This is because a negative number squared would be positive.
So -21^2+-22^2+-23^2 would equal the same as 21^2+22^2+23^2 which would be 1454.
Please help me with this
Preliminary data analyses indicate that you can consider the assumptions for using nonpooled t-procedures satisfied. Researchers obtained data on the number of acute postoperative days in the hospital using the dynamic and static systems. At the 10% significance level, do the data provide sufficient evidence to conclude that the mean number of acute postoperative days in the hospital is smaller with the dynamic system than with the static system?
Answer: hello some data is missing from your question attached below is the missing data
answer :
At 10% significance level ; critical value with the dynamic system = -1.3637
critical value with the static system = - 1.4759
hence the data provided is sufficient evidence that mean number of acute postoperative days in the hospital is smaller with the dynamic system
Step-by-step explanation:
At 10% significance level ; critical value with the dynamic system = -1.3637
critical value with the static system = - 1.4759
hence the data provided is sufficient evidence
Given ∝ = 0.10
i) mean number of dynamic system = ( x1 ) = 7.08
s1 ( std of sample ) = 1.51
sample size = 12
df ( degree of freedom ) = n - 1 = 11
Hence critical value : t∝,11 = -1.3637 ( = T.INV(0.1,11)
ii) mean number of static system
( x2 ) = 11.33
s2 ( std of static sample ) = 3.83
sample size = 6
df( degree of freedom ) = n -1 = 5
critical value = t∝,5 = -1.4759 ( = T.INV(0.1,5) )
1. Carmi gets a starting salary of 13,000.00 a month and an increase of 500.00 annually. What will
be her salary during the fifth year?
Solutions
Answer:
15,500
Step-by-step explanation:
An equation that can represent this is 13000+500t, with "t" being the number of years
Pom
A line passes through point (5, -3) and is perpendicular to the equation y = x. What's
the equation of the line?
A school secretary plans to order 510 sandwiches for a school picnic. He asks 85 randomly selected students which type of sandwich is their favorite. Based on the data from the sample, how many of each type of sandwich should the secretary order? Show your work.
Sandwich type quantity
penutbutter 37
Ham 18
egg salad 5
Turkey 25
Answer:
85 will be the answer
Step-by-step explanation:
please mark as braillenest
Answer:
Step-by-step explanation:
510/85 = 6
Sandwich type quantity
penutbutter 37 X 6 = 222
Ham 18 X 6 = 108
egg salad 5 X 6 = 30
Turkey 25 X 6 = 150
222 + 180 + 30 + 150 = 510
what is the domain of the function
Answer:
The domain is 0≤x<∞
Step-by-step explanation:
The domain is the values that the input can take.
The square root cannot be less than zero
sqrt(x) ≥ 0
That means x ≥0
The domain is 0≤x<∞
Nicole is solving the equation and realizes there's a mistake.
A) Determine the mistake
B) Determine the correct answer.
- 2x -4>8
-2x - 4+4>8+4
-2x >12
- 2x/2 > 12 /2
x>-6
Answer:
She forgot to multiply both sides by -1 and reverse the inequality. She also didn't flip the signs.
Step-by-step explanation:
- 2x -4>8
-2x - 4+4>8+4
-2x >12
(-2x)(-1)<12(-1)
2x<-12
2x/2<-12/2
x<-6
Hope this helped!!!
can you help me find the value of each shape plz
Answer:
Star = 10Square = 4Circle = 1Step-by-step explanation:
Hope it helps you!
Being timed and pressured help me plsss
Answer:
a:] 45 pay attention to the graph