Answer:
A) The probability that the event will occur[tex]=\frac{1}{7}[/tex]
B)The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
We are given that The odds of event occurring are 1:6.
So, Number of successful events = 1
Number of unsuccessful events = 6
So, Total events = 6+1=7
a)the probability that the event will occur=[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will occur[tex]=\frac{1}{7}[/tex]
b)The probability that the event will not occur =[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
f(x) = 23 – 22
g(x) = 4x + 5
Answer:
23-22=1
5 times 4=20
Step-by-step explanation:
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
Yes blue liquid is toxic
Step-by-step explanation:
H0: p1 = p2
H1: p1>p2
For blue
We calculate proportion as
37/40 = 0.925
For white
9/40 = 0.2250
To get p
(X1 + x2)/(n1 + n2)
= 0.5750
After calculating the z as statistic (please check attachment) I got 6.33
P value = 0.0000
We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!
Thank you!
find the distance between points P ( 7,8 ) and Q ( 6,2 )
Answer:
6/1
Step-by-step explanation:
I think of two numbers.
When I add the numbers, the answer is 8.
When I subtract the numbers, the answer
Is less than 6.
What can the numbers be?
The two numbers can be _ and _ .
Answer:
There are a variety of possible answers, including the following:
4 and 4 (4 + 4 = 8........4 - 4 = 0.......... 6 > 0)
6 and 2 (6 + 2 = 8........6 - 2 = 4.......... 6 > 4)
5 and 3 (5 + 3 = 8.........5 - 3 = 2.......... 6 > 2)
And for the subtraction, each can be reversed (2 - 6 ...... 3 -5 ...... etc.)
Answer:
2 and 3 is the answer we know it right
The measures of two supplementary angles are in the ratio 1:3. What is the measure, in degrees, of the larger angle?
Sum of two angles that are supplementary = 180°
Ratios in which they have been given their measurement = 1 : 3
Total number of parts = 1 + 3 = 4
Each part = 180÷4 =
[tex]Each \: part = \: \frac{180}{4} [/tex]
Each part = 45°
Measure of smaller angle = 45 × 1 = 45°
[tex]Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°[/tex]
[tex]Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: [/tex]
∴ The measure of the larger angle in degrees = 145° .
In a casino in Blackpool there are two slot machines (machine 1 and machine 2): one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20% of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random (this turns out to be machine 1) and put a coin into it. Given that you loose that first bet estimate the probability that machine 1 is the more generous of the two machines
What do I know?
What do I want to find out?
What do I expect the answer to be?
How do I go from what I know to what I want to find?
Is the answer consistent with what I expected?
Answer:
Step-by-step explanation:
From the given information:
We are told that there exist two machines
Machine 1 and Machine 2
Given that machine 1 pays 10% when it is generous, then the probability can be computed as:
P(pays | machine 1 is generous) = 0.10
Also, machine 2 pays 20% when it is generous, then the probability that the machine pays 20% when it is generous is :
P(pays | machine 2 is generous) = 0.20
However, the two machines have an equal chance of being generous.
Therefore, the probability that machine 1 is generous is equal to the probability that machine 2 is also generous.
i.e.
P( machine 1 is generous) = P( machine 2 is generous) = 0.50
The first objective is to find the probability that the machine 1 is generous, given that the player loses the first bet.
i.e. P (machine 1 is generous | but lost)
Thus, we know that the probability that the machine is generous is = 0.5, therefore, the probability that the machine is generous is 50% when he loses the first bet.
Therefore, to find the probability that the machine 1 is generous | but lost, we have:
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{P(machine \ 1 \ is \ generous \ \cap lost )}{P(lost)} }[/tex]
Let:
P(lost | machine 1 is generous) = A
P(machine 1 is generous) = B
P (Pays | machine 1 is generous ) = C
P(Pays | machine 2 is generous ) = D
P(machine 2 is generous) = E
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - C) \times B}{ (1 - C) \times B + (1 - D) \times E} }[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - 0.10) \times 0.50}{ (1 - 0.10) \times 0.50 + (1 - 0.20) \times 0.50} }[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{0.45}{0.85}}[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) =0.5294}[/tex]
Thus, the probability that machine 1 loses the first bet but it is generous = 0.5294
Thus, since the answer is close to 0.50, we say that the answer is consistent with what is expected.
if x=3 and y=2 then find the value of 2x²-xy+y²-4x
Answer:
4Step-by-step explanation:
Put x = 3 and y = 2 to the expression 2x²- xy+y²- 4x:
2(3)² - (3)(2) + 2² - 4(3) use PEMDAS
=2(9) - 6 + 4 - 12
= 18 - 6 + 4 - 12
= (18 + 4) - (6 + 12)
= 22 - 18
= 4
What is the equation in slope-intercept form of the line that passes through the points (−12, −4) and (4, 8)?
A. y = −43 − 20
A. , y = −43 − 20
B. y = 43 − 12
B. , y = 43 − 12
C. y = −0.75 − 13
C. , y = −0.75 − 13
D. y = 0.75x +5
D. , y = 0.75x +5
Answer:
Choice D. [tex]y = 0.75\, x + 5[/tex].
Step-by-step explanation:
The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:
[tex]m[/tex] is the slope of the line, and[tex]b[/tex] is the [tex]y[/tex]-intercept of the line. (The [tex]y\![/tex]-intercept of a line in a cartesian plane is the [tex]y\!\![/tex]-coordinate of the point where the line intersects the [tex]\! y \![/tex]-axis.)Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:
The "rise" is the [tex]y[/tex]-coordinate of the first point minus that of the second: [tex]\text{rise} = (-4) - 8 = -12[/tex].The "run" is the [tex]x[/tex]-coordinate of the first point minus that of the second. The order of these two points should stay the same: [tex]\text{run} = (-12) - 4 = -16[/tex].Calculate the slope of this line:
[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].
The equation of the line becomes:
[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].
Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:
[tex]x = -12[/tex], and[tex]y = -4[/tex].The equation becomes:
[tex]-4 = 0.75 \times (-12) + b[/tex].
Solve for the value of [tex]b[/tex]:
[tex]b = 5[/tex].
Hence, the slope-intercept form of this line shall be:
[tex]y = 0.75\, x + 5[/tex].
Cliff needs 6 meters of wood for a building project. He already has 3
meters of wood.
Approximately how many feet of wood does Cliff need? (One meter
is approximately 3.3 feet.)
1 foot
3 feet
6 feet
10 feet
letter B 3 feet
Step-by-step explanation:
he needs three more to get 6 meters of wood
What is the ratio of daises to all the flowers in the vase?
Answer: Do you have the original ration so we can simplify it then??
Step-by-step explanation:
Find the equation of a line parallel to −2x+2y=6 that contains the point (3,−5). Write the equation in slope-intercept form.
40,984 rounded to the nearest ten thousand
Hi friend! Hope this helps!
40,000.
(IF YOU'RE IN COLLEGE, ANSWER THIS) Should I delete social media?
I have twitter and I feel like it's impacting my life. I'm in college and whenever I study or work on an assignment, I find myself distracted by clicking on the website, and scroll through the timeline for hours. And then boom, it's 8pm. It's the reason why I'm so behind on my studies. I think I should delete it because I care about my future and I wanna become successful (I wanna be a doctor). but at the same time I have like 334 followers lol and it's nice but I should delete it for good I think. People are too toxic and it does no good for my brain.
Answer:
I think you should delete it because as you said it is distracting you. I think you should just focus on your studies if that is the most important thing to you
Please help guys this has to be do in 10:00 please help
Answer:
1)14oz
2)28oz
Step-by-step explanation:
1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)
42*1/3=14
So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.
So that means she has 28 oz of water left when she gets there.
What is 5 8/100
as a decimal?
O
A. 5.008
0
B. 5.08
O
C. 5.8
0 D. 58
Answer:
5.08
Step-by-step explanation:
5 8/100
Since there are 2 zero's in 100, we need two numbers in the top
Replace 8 with 08 which is the same number
5 08/100
Now write as a decimal
5.08
Answer:
B. 5.08
Step-by-step explanation:
[tex]5\frac{8}{100} = \frac{508}{100}[/tex] 508 ÷ 100 = 5.08I hope this helps!
Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?
What is the value to the expression -2.1(4.7+(-7.4))
Arnold has $500 as his pocket money, he buys a bike for $200, and he payed 10% tax and payed 20$ extra. How much money did he have balance?
Answer:
$250
Step-by-step explanation:
Total money he has - $500
He buy a bike for - $200
500 - 200 = 300
Balance - $300
10% tax
10 x 300/100 = 30
300 - 30 = 270
He payed $`20 extra
170 - 20 = 250
Balance = $250
He had $250 balance in his pocket money
Hope you understand
:-)
help me please i’ll give u a cookie
Answer:
the answer is B
Step-by-step explanation:
i just did this.
5x + y =7
20x + 2 = y
Answer:
y = 6
x = 0.2
Step-by-step explanation:
5x + y =7
20x + 2 = y
5x(4) + y(4) = 7(4)
20x + 4y = 28
(20x = 28 - 4y) = (20x = y - 2)
28 - 4y = y - 2
30 - 4y = y
30 = 5y
y = 6
5x + y =7
20x + 2 = y
y = 7 - 5x
7 - 5x = 20x + 2
5 - 5x = 20x
5 = 25x
x = 0.2
Morgan reads 45 pages in 60 minutes how much can she read in 1 minute
Answer:
Morgan can read [tex]\frac{3}{4}[/tex] of a page in 1 minute.
Step-by-step explanation:
If you divide 45 ÷ 60 you get 0.75 which is equal to [tex]\frac{3}{4}[/tex].
Morgan can read 0.75 pages in 1 minute.
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
To find out how many pages Morgan can read in 1 minute, we divide the total number of pages she read by the time it took her to read them. This gives us the average number of pages she read per minute.
In this case, Morgan read 45 pages in 60 minutes. So, we divide 45 pages by 60 minutes:
45 pages ÷ 60 minutes = 0.75 pages per minute
This means that on average, Morgan can read 0.75 pages in 1 minute.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
The left and nght page numbers of an open book are two consecutive integers whose sum is 447. Find these page numbers
Answer:
223 and 224
Step-by-step explanation:
Divide 447 by 2. It gives a decimal of 223.5, but obviously you don't have half pages. So the page number would be 223 and 224.
Answer:
223,224
Step-by-step explanation:
page 1-x
page 2-x+1
2x+1=447
2x=446
x=223
page 1=223
page 2=224
Brainliest is Very Appreciated!
Suppose that the weight of navel oranges is normally distributed with a mean µµ = 8 ounces, and a standard deviation σσ = 1.5 ounces. a. What percent of oranges weigh more than 11.5 ounces? b. What percent of oranges weigh less than 8.7 ounces? c. If you randomly select a navel orange, what is the probability that it weighs between
Answer:
Hello some parts of your question is missing below is the missing part
c. If you randomly select a navel orange, what is the probability that it weighs between6.2 and 7 ounces
Answer: A) 0.0099
B) 0.6796
C) 0.13956
Step-by-step explanation:
weight of Navel oranges evenly distributed
mean ( u ) = 8 ounces
std ( б )= 1.5
navel oranges = X
A ) percentage of oranges weighing more than 11.5 ounces
P( x > 11.5 ) = [tex]P ( \frac{x - u}{ std} > \frac{11.5-8}{1.5} )[/tex]
= P ( Z > 2.33 ) = 0.0099
= 0.9%
B) percentage of oranges weighing less than 8.7 ounces
P( x < 8.7 ) = [tex]P ( \frac{x - u}{ std} > \frac{8.7-8}{1.5} )[/tex]
= P ( Z < 0.4667 ) = 0.6796
= 67.96%
C ) probability of orange selected weighing between 6.2 and 7 ounces?
P ( 6.2 < X < 7 ) = [tex]P (\frac{6.2-8}{1.5} < \frac{x - u}{ std} < \frac{7-8}{1.5} )[/tex]
= P ( -1.2 < Z < -0.66 )
= Ф ( -0.66 ) - Ф(-1.2) = 0.13956
What is the y-intercept of the line with equation 3y - 4x = 9?
Answer: (0, 3)
Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.
So we have 3y - 4(0) = 9.
This simplifies to 3y = 9.
Dividing both sides by 3, we find that y = 3.
So our y-intercept is 3 which we can write as the ordered pair (0, 3).
Which is true when you rent?
ОА.
You build equity in your house.
ОВ.
You are responsible for any repairs.
Ос.
You pay fewer up-front costs.
You are responsible for any repairs.
write an equation that represent the table
Answer:
y equals 5x + 20
Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution. which amounts of each should be used ?
Answer:
x = amount of 100% acid solution (pure acid, no water)
y = amount of 10% acid solution (acid + water)
both amounts are in liters
Step-by-step explanation:
James is studying different kinds of weather. Rain has water drops that are larger than 0.02 inch in diameter. Small hailstones are less than 14 inch in diameter. Complete the statement that best represents the different kinds of weather James studied. Select one correct answer from each box to complete the sentence.
Answer:
wheres the stament
Step-by-step explanation:
Answer:
huh
Step-by-step explanation:
find x (x+y) 30 24 2x
Answer:
vfvgyfygj
Step-by-step explanation:
gvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvdyu so yeah
find the possible factor for the estimated product 5,600