Using the binomial distribution, it is found that there is a [tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.
For each ball, there are only two possible outcomes, either it is hit or it is not. The probability of hitting a ball is independent of any other ball, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
4 balls are thrown, hence [tex]n = 4[/tex]0.5 probability of hitting each of them, hence [tex]p = \frac{1}{2}[/tex]You win the big prize if you hit 4 balls, hence, the probability is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.\left(\frac{1}{2}\right)^{4}.\left(\frac{1}{2}\right)^{0} = \frac{1}{16}[/tex]
[tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.
A similar problem is given at https://brainly.com/question/24863377
Answer:
1/16
Step-by-step explanation:
yurr
An item is regularly priced at $97. It is now priced at a discount of 40% off the regular price.
Answer:
38.8
Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8
What are the steps to complete a dialation (in geometry) ?
Answer:
Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.
Step-by-step explanation:
Make me brainlest.
Determine the measurement of the missing angle
Answer:
31
Step-by-step explanation:
Find missing angle of lower triangle first
35+23=58
180-58=122
Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122
27+122=149
180-149=31
What is the total of 6, 4.25, and 7.74?
Answer:
17.99
Step-by-step explanation:
What is the product of (6.2*10^4) * (3.4*10^-2)? I got 2,108. am I right?
Answer:
yes you are right
Step-by-step explanation:
Answer:
Yes, you are right!
Step-by-step explanation:
I hope this helps!
PLZZZZZ HELP ME. How many solutions does 2x - 1 = 2x + 3 have? One? Zero? Or Infinite? PLZ HELP ME ITS DUE IN 10 MINSS!!!!!!!!!!!!!!!!!!
Answer:
No Solution
Step-by-step explanation:
2x - 1 = 2x + 3 Combine the like terms.
0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.
If the 3rd term in an arithmetic sequence is 10 and the sum of the 1st 6 terms is 72. The fifth term is.
Answer:
5th term = 18
Step-by-step explanation:
a1 + a1+d a1 + 2*d a1+3d a1 + 4*d a1 + 5d
a1 + 2d = 10
6*a1 + 15d = 72
Multiply the first equation by 6
6a1 + 12d = 60
Write the above equation underneath the second equation
6a1 + 15d = 72
6a1 + 12d = 60 Subtract
3*d = 12 Divide by 3
d = 12/3
d = 4
a1 + 2d = 10
a1 + 2*4 = 10
a1 + 8 = 10 Subtract 8 from both sides
a1 - 8 = 10- 8
a1 = 2
The fifth term is
t5 = 2 + 4*4
t5 = 18
Write 24 as a product of prime factors.
Answer:
hese prime numbers are 2,3,5,7,11,13,17. To find the prime factorisation of 24, check if 2 divides into 24. It does, because 24=12*2
Step-by-step explanation:
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 3 inches. A random sample of 41 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
Answer:
0.5160
Step-by-step explanation:
Let us assume that the length of fishes in the tank is normally distributed. Thus, x is the random variable representing the length of fishes in the tank. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
number of samples
From the information given,
µ = 15
σ = 4
n = 31
We want to find the probability that x is between (15 - 0.5) inches and (15 + 0.5) inches. The probability is expressed as
P(14.5 ≤ x ≤ 15.5)
For x = 14.5
z = (14.5 - 15)/(4/√31) = - 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.2420
For x = 15.5
z = (15.5 - 15)/(4/√31) = 0.7
Looking at the normal distribution table, the probability corresponding to the z score is 0.7580
Therefore,
P(14.5 ≤ x ≤ 15.5) = 0.7580 - 0.2420 = 0.5160
Graph the solution to this inequality on the number line.
-16 > -4p
0
-10
-8
-6
-4.
-2
2.
4
6
CO
CO
8
10
0
Answer: Graph is below
=============================================================
Explanation:
We divide both sides by -4 to isolate p. This will flip the inequality sign.
-16 > -4p
-16/(-4) < -4p/(-4)
4 < p
p > 4
The graph has an open hole at 4 and shading to the right. See below.
The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The inequality is,
⇒ - 16 > - 4p
Now, Solve the inequality as;
⇒ - 16 > - 4p
Multiply by -1;
⇒ 16 < 4p
Divide by 4;
⇒ 4 < p
Thus, The solution of the inequality is,
⇒ 4 < p
And, This is shown in number line.
Learn more about the number line visit:
https://brainly.com/question/28223520
#SPJ2
May I please receive help?
Answer:
a = 19.6 (rounded to the nearest tenth)
Step-by-step explanation:
a^2 + b^2 = c^2
Hypotenuse - 35 m, Legs - 29 m, x
a^2 +29^2 = 35^2
a^2 + 841 = 1225
Subtract 841 from both sides
a^2 = 384
Square root both sides
√a^2 = √384
a = 19.595
Hi, anyone help me with this, please
A television addic can buy either two televisions and three video recorders for $1750 or four televisions and one recorder for $1250. Find the cost of one television and one video recorder
Answer: helloooo
Step-by-step explanation:
Television = $200 and Video Recorder = $450
sory if im wrong this is just what I think
The gas tank of priya pontoon boat can hold 5 gallons it is completely empty Oriya needs a full tank for the days activities she adds 2 1/4 gallons from a gas canister and then takes the boat to a nearby marina to fill it up. She has to pay ahead. Oriya wants the tank as full as possible but does not want to overpay. How many gallons should Oriya ask for?
stion 13: A typical barrel of bot-oil contains 70 liters of oil. If a hole he barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.
Answer:
y = -6x + 70
Step-by-step explanation:
Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.
Mark sews at a constant rate. He stitches 5 pillows in 8 minutes. What is the constant of proportionality for the relation of pillow to hours.
Answer:
9
Step-by-step explanation:
9 pillows per hour i believe
Please help!!! No links!!! Solve the system of equations below by graphing both equations with pencil and paper! What is the solution?? Use the photo below!!!
my Christmas present to you
oh wow, thank you!
Hope you have a merry christmas!
If each quadrilateral below is a rectangle, find the missing measure.
Help! 100 points! I'm also giving brainiest to whoever gives a correct answer to the following questions or nonetheless a solid explanation behind their answer. Thank you and comment for any concerns or issues!
Step-by-step explanation:
1a)
it means that after 14 hours into the experiment the temperature of the liquid reaches exactly the temperature of the surrounding room at that moment : 10° F.
1b)
it is the point (14, 10), and I know, because both lines touch or cross each other at that point, as due to the equality relation both curves contain this point (meaning they have the same result value 10 for the same function argument 14).
4a)
because the slope of the line segment at the end is larger (making the line go up at a much steeper angle) than fire the line segment at the beginning.
4b)
it looks like the experiment started at hour 0 with the liquid being at around -5° F.
and it reached +10° F after about 10 hours.
the x (time) difference is +10 (from 0 to 10).
the y (temperature) difference is +15 (from -5 to 10).
so, the slope at the beginning of the excitement is about +15/+10 = 3/2.
and at the end of the experiment it looks like the last line segment starts at about 20 hours with the liquid at about -3° F. and it ends at hour 30 and at 30°F.
the x (time) difference is +10 (from 20 to 30).
the y (temperature) difference is +33 (from -3 to 30).
so, the slope at the end of the excitement is about +33/+10, which is much bigger than 15/10 at the beginning.
please help me to get the answers please read my questions
Answer: Where is the question.
Step-by-step explanation: Where is the question.
Which of the following is equivalent to 2/9
A. 0.029
B.0.2
C.0.29
D.0.3
E.0.39
Answer:
B would be the answer:))
Step-by-step explanation:
Divide 2 by 9
can someone please tell me how to do 2470; 3030; 3320; 4030; 2900; 4120 in stem and leaf diagram?
Before you start, please make a title for your Stem & Leaf plot.
1) Make two columns; Stem and Leaf.
2) Under "Stem" list the following whole numbers: 0, 1, 2, 3, 4, 5, 6. Notice that each number will correspond to each number you gave us.
3) Under "Leaf":
Only the last digits of the numbers go into the Leaf. If I number, for example, starts with 0, the remaining digits go into the Leaf.
4) Create a Key, which allows whoever is reading your plot to understand what the plot means. For example 2|4=24, since 2 is the stem and 4 is the leaf. We usually read a stem and leaf plot as the remaining digits go after the stem but if otherwise a Key is a must have when creating a plot.
The Key can be any set of numbers you have in your Stem and Leaf plot.
8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8
Answer:
d y=-5x-8
Step-by-step explanation:
Answer:
B. y = 7.5x – 2
Step-by-step explanation:
Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.
The Kim family just bought 7 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?
Find the number of eggs in 7 crates:
1 crate = 12 eggs
7 crates = 12 x 7 = 84 eggs
Add the 8 eggs in their fridge:
84 + 8 = 92 eggs
Answer:
93
Step-by-step explanation:
7*12=84
84+9=93
is it Substitution or linear combination?
Answer:
Substitution
Step-by-step explanation:
You would solve this system using the substitution method as one of the variables are define.
In other words y = x + 3 defines y with the expression "x + 3" and we are easily able to substitute this into the other equation for y and solve of x.
please help me I have no idea what I'm doing :(
Answer: A. 100%
Step-by-step explanation:
the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot how many are trucks
Step-by-step explanation:
cars : trucks = 3 : 5
there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.
these 8 parts (or the whole) are in total 360.
therefore, 1 part = 360/8 = 45
cars get 3 parts of the whole parking lot, that is
45 × 3 = 135 cars
trucks get 5 parts of the whole parking lot, that is
45 × 5 = 225 trucks
26. Dy Aminah arrived at her office at 07 45h. The journey to her office was 50 minutes. At what time did she leave her house?
Answer:
6 55
Step-by-step explanation:
simplify 10^9 divided by 10^7
Step-by-step explanation:
10^9 ÷ 10^7
10^9-7
10^2
10^2 is the correct answer
!BRAINLIST!
Sebastian works as a conservation scientist. His current project involves calculating how many times an oyster bed can be harvested safely in one year. One task Sebastian might do to complete his project is:
A.
travel deep underground to take soil samples in a mine.
B.
meet with large cereal companies to take test the safety of their products.
C.
collect soil and water samples in a bay.
D.
climb into an attic to inspect for termite damage.
Answer:
meet with large cereal companies to take test the safety of their products.
Step-by-step explanation:
Diving by himself into deep sea may be harmful.Cereal companies are trained and experienced in it They can easily help him to observe the oysters deep under the sea.