The probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.
What is probability of an event?It is the ratio in an event of the number of favorable outcome to the total number of outcome of that event.
As the probability of an event can not be more than the number 1. Thus, he probability of failure of a event is equal to the difference of the 1 to the success of the event.
Mickey tosses a coin 50 times and records 27 heads. Thus, the probability of getting a head is,
[tex]P=\dfrac{27}{50}\\[/tex]
The probability of not getting a head or getting a tail is,
[tex]P^{-1}=1-\dfrac{27}{50}\\P^{-1}=\dfrac{50-27}{50}\\P^{-1}=\dfrac{23}{50}[/tex]
Now, Mickey tosses the same coin three more times. The probability of getting three tails in these tosses are,
[tex]P_{3t}=\dfrac{23}{50}\times\dfrac{23}{50}\times\dfrac{23}{50}\\P_{3t}=\dfrac{12167}{125000}[/tex]
Thus, the probability of getting three tails in three tosses When Mickey tosses a coin 50 times and records 27 heads is 12,167:125,000.
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What is the value of x in the equation : sin 40 = cos (x)
The table lists the measures of center and measures of dispersion for a data set.
mean median mode range standard deviation
65.8 63.5 65 11 3.9
find the mean, median, mode, range, and standard deviation when each value of the data set is increased by 8.
Answer:
it's difficult , sorry
Step-by-step explanation:
ask easily one
which is the graph of the function?
at first glance, you'll see that there is a negative beside the stretch factor of 2 which suggests that the function will be opening downwards, which means that we can eliminate g.
the vertex is then at (-3, 5) which narrows down the answer to F.
Answer:
it's orange
Step-by-step explanation:
because black is (x-<+17)
and yellow is 61 that means that y =orange
I need help to find the equation but in slope intercept form.pls
need this answered ASAP
type the correct answer in the box.
Mitten crabs are an invasive species in North America. A coastal ecosystem has a population of 320 mitten crabs. The population is predicted to increase by 50% per year. The population will reach an estimated 1,620 crabs in ___ years.
Answer:
10 1/8 years?
I hope this is right!
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
Whats is 184 X 8 = ? In work?
Answer:
23
Step-by-step explanation:
23 ⇔ 23 R 0
184 divided by 8
=
23 with a remainder of 0
0
2
3
8
1
8
4
-
0
1
8
-
1
6
2
4
-
2
4
0
-7- -13 ( subtracting integers)
Answer:
Looking at the problem we come across one issue where we have two minus signs. However, this issue can be fixed because for example if we multiply -1 by -1 we would just get 1. Therefore these two minus signs cancel out and we put a plus sign so our problem becomes -7 + 13. Now we just combine and we get 6.
Answer:
6
Step-by-step explanation:
[tex](-7)-(-13)\\(-7)+13\\13-7\\6[/tex]
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval
95% of molds filled by this machine will hold weights in are within 1106 pounds to 1194 pounds
What is an empirical rule?The empirical rule states that for a normal distribution, about 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within one standard deviation from the mean
Given a mean of 1150 pounds and a standard deviation of 22 pounds. Hence:
95% are within two standard deviations of the mean = 1150 ± 2(22) = (1106, 1194)
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Answer:
1106 - 1194
Step-by-step explanation:
What is the median of this data set?
22, 37, 49, 15, 72
А. 39
В. 37
С. 47
D. 49
Can you help me? I don’t understand this question at all. It would really help.
Answer:
9.6 ft.
Step-by-step explanation:
Given they are similar, take the sides of the triangles in proportion.
AB/DE = AC/DF8/5 = AC/6AC = 1.6 x 6AC = 9.6 ft.help!!!! please hurry!
Answer:
w=8
Hope this helps!!
21. The solution(s) is/are b =
Please help me solve this
Answer:
b = -4, 0
Step-by-step explanation:
Given :
b² + 4b = 0Take b as a common factor.
b(b + 4) = 0Solutions
b = 0b + 4 = 0 ⇒ b = -4b = -4, 0Answer:
b = - 4, b = 0
Step-by-step explanation:
b² + 4b = 0 ← factor out b from each term
b(b + 4) = 0
equate each factor to zero and solve for b
b = 0
b + 4 = 0 ⇒ b = - 4
10. BRO SOMEONE HELP ME IM STUCK ON THIS
witch fraction correctly represents 0.6 A. 5/12 B. 7.11 C. 2/3 D. 9/13
please do this and help dont just do it for the points and please help asap thank u
What is the point-slope form of a line with slope -5 that contains the point
a
(2,-1)?
The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
What is point slope form?The point slope form of a line is the expression of line which has a specified slope and passes through a point.
The point slope form is givne as,
(y-y₁)=m(x-x₁)
Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.
The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,
(y-y₁)=m(x-x₁)
(y-(-1))=-5(x-2)
(y+1)=-5(x-2)
Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
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What are the coordinates for B?
options:
(4, -4)
(-3, -2)
(2, 2)
(-4, 4)
Answer:
(2,2)
Step-by-step explanation:
coordinates are written as (x,y)
where x represents the x value of the coordinate and y represents the y value of the coordinate.
If we look at the graph we can tell that "b" has an x value of 2 and a y value of 2
Therefore we can say that "b" is positioned at (2,2)
Answer:
C. (2, 2)
Step-by-step explanation:
A coordinate is used to identify a point on a graph. A coordinate is written in the form of (x, y), where x is the x-value and y is the y-value.
The x-value is the number of units left or right from the origin (0, 0), and it gets negative by going left and positive by going right.
The y-value is the number of units up or down from the origin (0, 0), and it gets negative by going down and positive by going up.
For example, the coordinates (1, -2) indicate that the x-value goes to the right one unit and the y-value goes down two units.
Here, we are asked to find the coordinate of B:
The x-value is positive 2, which means it went to the right two from the origin.The y-value is positive 2, which means it went up two units from the origin.Our coordinate should look like this: (2, 2)Therefore, the correct answer is C. (2, 2)
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how do i find the length of a=7.4 b=? c=3.6
Answer:
b=6.5
Step-by-step explanation:
a²+b²=c²
7.4²+b²=3.6²
b²=3.6²-7.4²
b²=12.96-54.76
b²= -41.8
√b²=√-41.8
b=6.465
b=6.5
Simone travels 90 miles at an average speed of 40 mph.
She then travels a further 30 miles.
The average speed for the entire journey is 43 mph.
Assuming Simone didn't stop, what was her average speed for the final 30 miles to 2 dp?
Using the relation between velocity, distance and time, it is found that her average speed for the final 30 miles is of 55.56 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Simone travels 90 miles at an average speed of 40 mph, hence the time is given by:
[tex]t_1 = \frac{90}{40} = 2.25[/tex]
She then travels a further 30 miles, with an average speed for the journey of 43 mph. Hence, she traveled 90 + 30 = 120 miles, and the total time is given by:
[tex]t = \frac{120}{43} = 2.79[/tex]
Hence, in the second part, she traveled 30 miles in 2.79 - 2.25 = 0.54 hours, so the velocity is given by:
[tex]v = \frac{d}{t} = \frac{30}{0.54} = 55.56[/tex]
Her average speed for the final 30 miles is of 55.56 mph.
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What is the length of the diagonal from B to D of this rectangle? Round your answer to the nearest tenth of a metre.
Answer:
2√97
Step-by-step explanation:
BD² = BC² + DC²
⇒ BD = √BC² + DC²
= √(18)² + (8)²
= √324 + 64
= √388
Rewrite 388 as 2² · 97.
Factor 4 out of 388.
√4(97)
Rewrite 4 as 2².
√2² · 97
Pull terms out from under the radical.
2√97
The result can be shown in multiple forms.
Exact Form:
2√97
Decimal Form:
19.69771560...
One week, kevin earned $492.00 at his job when he worked for 20 hours. if he is paid the same hourly wage, how much would he make the next week if he worked 3 hours?
Answer:
$73.80
Step-by-step explanation:
First we will find Kevin's hourly wage. We can do this by dividing his total pay by the number of hours he worked.
$492 / 20 hours = $24.60/hour
Now we can find how much he will make the next week.
$24.60/hour * 3 hours = $73.80.
That is your answer
- Kan Academy Advance
if A (4,5), B (6,8), then vec AB is ...
Answer:
slope= rise/ run= 1.5/1= 1.5
Sum interior angle on a regular pentagon
Answer:
540°
Step-by-step explanation:
Formula: note that n means nr of sides
(n-2)×180°
(5-2)×180°=3×180=540°
Where each angle are 540°÷5=108°
Answer:
540
Step-by-step explanation:
108 is one interior angle from a regular pentagon
And a pentagon has 5 interior angles
So 180x5=540
The Ratio of boys to girls at Verrado Middle School is 4 to 5. If there are 300 boys at VMS, how many more girls are
there than boys?
(Someone pls help :>)
Answer:
75 more girls.
Explanation:-
Given:- Ratio of girls to boys = 5:3
And, the number of boys= 300
Let boys be 4x and girls be 5x
So, 4x = 300 (Given)
x = 300/4 = 75
Thus number of girls:- 5x = 5×75= 375 girls
now you take the 375 girls minus the 300 boys.
375-300 = 75 Girls more
~~~~-Hope this helped-~~~~
4x^2-11x-3 Change it to factor form
Answer:
(x-3)*(4x+1)
Step-by-step explanation:
Factoring 4x2-11x-3
The first term is, 4x2 its coefficient is 4 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 4 • -3 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -11 .
-12 + 1 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 1
4x2 - 12x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(4x+1) • (x-3)
Which is the desired factorization
Final result :
(x - 3) • (4x + 1)
Answer:
[tex](4x+1)(x-3)[/tex]
Step-by-step explanation:
[tex](4x+1)(x-3)=4x^{2} +x-12x-3=4x^{2} -11x-3[/tex]
Hope this helps
Pls help asap
ivan made strawberry jam and raspberry jam. he made enough strawberry jam to fill 2/3 of a jar. if he made 4/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
write your answer as a fraction or as a whole or mixed number.
4/5 × 2/3
= (4×2)/(5×3)
=8/15
In a field, water flows down through the soil and then through a layer of loose rocks before the flow stops.
What type of material did the water most likely encounter when it stopped?
a layer of granite
another soil layer
a layer of rocks with cracks
another layer of loose rocks
Answer:
A layer of granite
Step-by-step explanation:
This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.
The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We get;
An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.
After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.
Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.
In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.
Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
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Part A: Sydney made $18.50 selling lemonade, by the cup, at her yard sale. She sold each cup for $0.50 and received a $3 tip from a neighbor. Write an equation to represent this situation. (4 points)
Part B: Daria made a profit of $21.00 selling lemonade. She sold her lemonade for $0.75 per cup, received a tip of $3 from a neighbor, but also had to buy each plastic cup she used for $0.10 per cup. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Please help (Ithink imma fail a math exam if not)
Answer:
Part A answer: 0.5x + 3 = 18.50
How I got the answer: 0.5 means how much money she made from each cup. the variable x = how many she sold. 3 equals the tip from the neighbor. and 18.50 is the total price
Part B answer: (0.75x - 0.10x) + 3 = 21.00
How i got the answer: 0.75 is how much money she make from each cup. 0.10 means how many she paid for each cup she used. x = how many cups were sold/bought (should be the same number!). 3 is the tip. and 21.00 is the total price made.
Part C answer: The equations differ because Sydney didn't have to pay for the cups she used, while Daria did. Although they did have the same amount for a tip, Daria made more money than Sydney.
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this should be correct! hopes this help and i wish you good luck on your math exam!
City university projects that planned expansion will increase the number of enrolled students every year for the next five years by 10%. If 400 students enroll in the first year of the plan how many students are expected to enroll in the fifth year of the plan ?
The number of students that are expected to enroll in the fifth year of the plan is 644.
How many students are expected to enroll in the fifth year?The formula that can be used to determine the future value of the population is:
FV = P (1 + r)^n
FV = Future value P = Present value R = rate of increaseN = number of years400 x (1.1)^5 = 644
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Which of these shapes is an obtuse isosceles triangle? Help me A, B, C, Or D?
Answer:
A
Step-by-step explanation:
If the positive difference between 3.2 and 1.09 is multiplied by 0.47, the result is:
Answer:
0,9917
Step-by-step explanation:
3.2 - 1.09 = 2.11
2.11 multiplied by 0.47 = 0.9917
