A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was conducted in which a trial consisted of tossing 5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of the simulation were conducted and the results are shown in the histogram.
Based on the results of the simulation, which of the following is closest to the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed?
A 0.09
B 0.19
C 0.28
D 0.72
E 0.91
Answer:
Option C: 0.28
Step-by-step explanation:
This is a binomial probability distribution problem.
Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;
P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)
From the histogram;
P(5) = 0.02
P(4) = 0.02
P(3) = 0.05
P(2) = 0.19
Thus;
P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02
P(X ≥ 2) = 0.28
From the histogram, it is found that there is a 0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.
------------------
The probabilities given by the histogram are:
[tex]P(X = 0) = 0.33[/tex]
[tex]P(X = 1) = 0.39[/tex]
[tex]P(X = 2) = 0.19[/tex]
[tex]P(X = 3) = 0.05[/tex]
[tex]P(X = 4) = 0.02[/tex]
[tex]P(X = 5) = 0.02[/tex]
The probability of at least 2 up is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.019 + 0.05 + 0.02 + 0.02 = 0.28[/tex]
0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.
A similar problem is given at https://brainly.com/question/24141790
After collecting the data, Christopher finds that the total snowfall per year in Reamstown is normally distributed with mean 94 inches and standard deviation 14 inches. What is the probability that, in a randomly selected year, the snowfall was greater than 52 inches?
Answer:
0.9987
Step-by-step explanation:
Using Z score formula
z = (x-μ)/σ, where
x is the raw score = 52 inches
μ is the population mean = 94 inches
σ is the population standard deviation = 14 inches
z = 52 - 94/14
z =-3
Probability value from Z-Table:
P(x<52) = 0.0013499
P(x>52) = 1 - P(x<52)
P(x>52) = 1 - 0.0013499
= 0.99865
Therefore, the probability that, in a randomly selected year, the snowfall was greater than 52 inches is approximately 0.9987
Answer:
Step-by-step explanation:
99.87 for Knewton Alta
how to math pls i ned to math
Answer:
8 inches
Solution:
First, you need to add all sides which will give you 147. Then, to find the length of GA, you need to subtract the perimeter which is 167, by 147 which will give you 20. GA = 20
Thus to find G'A', you need to cross multiply 14/35 = G'A'/20
You should end up with 280 = 35. Divide 35 by 280 and you get 8.
PLEASE MARK IT AS BRAINLIEST
Answer:
2+2=4-1+3
Step-by-step explanation:
quick mafs
twice the square of a number
Answer:
2 * x^2
Step-by-step explanation:
in word form: two times the square of x
"a number" can be any variable; i used x
Answer:
x² × 2
Step-by-step explanation:
Notice vocabulary:
twice → multiplication by a factor of two → ×2a number → unknown number; variable → xthe square → raised to the power of two → x²Put this information together.
"Twice the square of a number"
Since it says of a number, this number comes first → [tex]x[/tex]
"Twice the square of a number"
The square of a number means that the variable will be squared → [tex]x^2[/tex]
"Twice the square of a number"
Multiply the variable by a factor of two → [tex]x^2*2[/tex]
:Done
if quadrilateral PQRS is an isoceles trapezoid if RP=12 then SQ= ?
The question is missing parts. Here is the complete question.
Quadrilateral PQRS (shown below) is an isosceles trapezoid. If RP = 12, then SQ = ?
Answer: SQ = 12
Step-by-step explanation: A trapezoid is a quadrilateral with two opposite parallel sides, called bases. The trapezoid is an isosceles trapezoid when the non-parallel sides have the same length.
One property of isosceles trapezoid is that its diagonals are congruent, i.e., have the same length.
In the picture, segment RP is one of the trapezoid's diagonal. It is asking the measure of SQ, which is the other diagonal. So:
SQ = RP
SQ = 12
Segment SQ of isosceles trapezoid PQRS is 12 units.
Answer:
if quadrilateral PQRS is an isosceles trapezoid if RP=12 then SQ= 12
Step-by-step explanation:
which point on the number line represents the quotient 12 divided by -2
An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton?
fill in thw blanks please extra points:)
Answer:
First blank- 32000 ounces
Second blank- 2000 pounds
Yes the bridge can hold 1 ton.
Step-by-step explanation:
The ratio of the scale of the model to the real bridge = 1:4
The test model shows the model can take 8000 ounces
The real bridge will therefore take 8000 x 4 = 32000 ounces
16 ounces = 1 pound
32000 ounces = x pounds
==> = 32000/16 = 2000 pounds
2000 pounds = 1 ton
therefore the bridge holds 1 ton
Answer:
First blank- 32000 ounces
Second blank- 2000 pounds
Yes the bridge can hold 1 ton.
Step-by-step explanation:
The ratio of the scale of the model to the real bridge = 1:4
The test model shows the model can take 8000 ounces
The real bridge will therefore take 8000 x 4 = 32000 ounces
16 ounces = 1 pound
32000 ounces = x pounds
==> = 32000/16 = 2000 pounds
2000 pounds = 1 ton
therefore the bridge holds 1 ton
Which of the following functions has the function rule y=x+4? (-2, 2), (-1,-5), (3.7)} {(-3, 1), (0.4), (2. 6)) (12.6). (-3.-7), (0.4) (0.2).(-2,-6). (1.5))
Answer:
b. {(-3, 1), (0, 4), (2, 6)}
Step-by-step explanation:
Please help someone
Answer:
root of 64, root of 71,pie squared
Step-by-step explanation:
Pat's soccer team has 15 players. 2/3
of the players went out for frozen yogurt after their last win. How many players went out for yogurt?
Answer:
10
Step-by-step explanation:
How do you do this question?
Answer:
y = Ce⁻ᵗ − 7
Step-by-step explanation:
dy/dt = -y − 7
dy/dt = -1 (y + 7)
Separate the variables.
dy / (y + 7) = -1 dt
Integrate both sides.
ln│y + 7│= -t + C
Solve for y.
y + 7 = e⁻ᵗ⁺ᶜ
y + 7 = eᶜ e⁻ᵗ
eᶜ is another arbitrary constant, so:
y + 7 = Ce⁻ᵗ
y = Ce⁻ᵗ − 7
Calculate each unit rate. Round to the nearest hundredth if necessary. 175 Calories in 12 ounces
Answer:
L
Step-by-step explanation:
The formula used to compute a confidence interval for the mean of a normal population when n is small is the following. x^^\_ +/-\(t text( critical value)\)s/sqrt(n) What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.) (a) 95% confidence, n = 17(b) 90% confidence, n = 12 (c) 99% confidence, n = 24 (d) 90% confidence, n = 24 (e) 80% confidence, n = 13 (f) 95% confidence, n = 10
Answer:
a) 2.120
b) 1.796
c) 2.807
d) 1.714
e) 1.356
f) 2.262
Step-by-step explanation:
The formula used to compute a confidence interval for the mean of a normal population when n is small is the following. x^^\_ +/-\(t text( critical value)\)s/sqrt(n) What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.)
(a) 95% confidence, n = 17
We find our degrees of freedom first
= n - 1
= 17 - 1
= 16
The t critical value using the t table =
2.120
(b) 90% confidence, n = 12
We find our degrees of freedom first
= n - 1
= 12 - 1
= 11
The t critical value using the t table =
1.796
(c) 99% confidence, n = 24
We find our degrees of freedom first
= n - 1
= 24 - 1
= 23
The t critical value using the t table = 2.807
(d) 90% confidence, n = 24
We find our degrees of freedom first
= n - 1
= 24 - 1
= 23
The t critical value using the t table =
1.714
(e) 80% confidence, n = 13
We find our degrees of freedom first
= n - 1
= 13- 1
= 12
The t critical value using the t table = 1.356
(f) 95% confidence, n = 10
We find our degrees of freedom first
= n - 1
= 10 - 1
= 9
The t critical value using the t table =
2.262
plz help me thanks so much :)
There’s your answer crack
Answer:
cool
Step-by-step explanation:
Answer:
what?
Step-by-step explanation:
vfgchgcbgjvygfcb
WILL GIVE BRAINLIEST! 2 QUESTIONS FOR 6 POINTS +3 TO WHOEVER ANSWERS QUICKEST! AND THE HAVE A GOOD EXPLAINATION!
1: (THE PICTURE)
POSSIBLE ANSWERS:
Line A
Line B
Line C
Line D
2: The F-16 Fighting Falcon, a United States fighter jet, can travel 3680 miles in 4 hours. In miles per hour, what is the speed of the F-16?
POSSIBLE ANSWERS:
1. 900mph
1. 736mph
3. 460mph
4. 0.001086mph
5. None of the Above
The daily low temperatures from last week are shown below. (The measurement is fahrenheit)
-9, -8, -7, 8, 10, 12, 18
What is the mean low temperature of last week?
A.-2
B.6
C.8
D.10
Answer:
thx for the free points g
Which number line model represents the expression 3.5+(-5)
Answer:
it is -1.5.
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
hope this helps
2.2.23 : Question Help A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 1030 lb. How many boxes of books can the delivery person bring up at one time?
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Answer:
21
Step-by-step explanation:
1030-160=870870/40=21.75you round downthe answer is 21the product of the sum and the difference of 8x and 4y
Answer:
4
Step-by-step explanation:
o dont really know. I dont understand the question
when ------, you change a number to one that is less exact, so it is easier to work with.
please help me in have 10 minutes left
A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at random . How many possible possible outcomes are there?
° 3
° 5
° 6
° 14
HELP ME ASAP PLZ
The anser is 14 I guess because there are 14 marbles in total giving you 14 outcomes
Eight sports fans were asked to count the number of baseball
caps and the number of basketball jerseys in their collection.
Create a scatter plot that represents the data that is shown in the
table. The x-axis represents number of baseball caps and the y-
axis represents the number of basketball jerseys.
Answer:
what grade are you in?
Step-by-step explanation:
PLEASE HELP QUICKLY!!!
A sequence is defined by the recursive rule a1 = -4, an = an-1 +5. What is the seventh term of the sequence?
What rule can you write about where the numbers in an inequality with a greater than symbol lie in relation to each other on the horizontal number line?
Answer:
For inequalities with a less than sign (<), the first number is always to the left of the second number on the horizontal number line.
Step-by-step explanation: I had it as a question.
The first number is always to the left of the second number in inequalities with a less-than sign ().
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let's assume an inequality,
y < x
Which represents that x has a greater value than y, and also on the horizontal number line, the first number is always to the left of the second number in inequalities with a less-than sign ().
Thus, The first number is always to the left of the second number in inequalities with a less-than sign ().
Learn more about inequality here:
brainly.com/question/14098842
#SPJ1
Which of the following is a postulate or theorem used to prove two triangles are congruent? ASA SSS AAA SAS
9514 1404 393
Answer:
ASA, SSS, SAS
Step-by-step explanation:
AAA is a postulate used to prove similarity. Congruence cannot be proved without including at least one side.
ASA, SSS, SAS postulates can be used to prove congruence
Which set of ordered pairs below is a function?
A {(3,–2); (5,–3); (7,–4); (9,–5)}
B {(3,–2); (3,–12); (9,–2); (12,–2)}
C {(4,–2); (5,–3); (7,–4); (7,–5)}
D{(4,–2); (4,–3); (4,–8); (4,–9)}
How far is the robot claw from the winter lane
Answer:
4 blocks.
Step-by-step explanation:
Which term describes the figure?
Answer:
B. Perpendicular Lines
Step-by-step explanation:
Perpendicular Lines are lines that cross over each other and make a right angle (90°).
How many different four digit alarm codes can be form for a house alarm be 2,4 or 9 and all the other digits can be any number and numbers can be repeated
Answer:
Bro, are you trying to break into someone's house of somethin?
Step-by-step explanation: