Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.
Given:
an unbiased coin is tossed 20 times.
The probability that the coin lands heads exactly 11 times:
P = n(E)/n(S)
n(S) = 2^tosses
= 2^20
= 1048576
n(E) = C(20,11)
= 20!/11!(20-11)!
= 20!/11!*9!
= 167960
Probability P = 167960/1048576
= 0.16017 ≈ 0.1602
Therefore Probability that the coin lands heads exactly 11 times is 0.1602 so Option a is correct.
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Sylvie is going on vacation. She has already driven 60 miles in one hour. If she then travels for 7 hours at an average speed of 57 miles per hour, what is the total distance that sylvie will have driven?.
The total distance that Sylvie will have driven is, 459 miles.
What is distance?
The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors.
Let, Sylvie is going on vacation. She has already driven 60 miles in one hour. She then travels for 7 hours at an average speed of 57 miles per hour.
In 7 hours Sylvie travel 7 x 57 = 399 miles.
So, the total distance is,
399 + 60 = 459 miles
Hence, the total distance that Sylvie will have driven is, 459 miles.
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PLEASE HELP
2. Given AKMN APRT, then answer the following questions. Show all work.
a.
The congruence statement:
ΔNKM ≅ ΔTPR.
since given ΔKMN ≅ ΔPRT.
KM = PR
MN = RT
KN = TP.
b.
The side is congruent to TR is MN.
TR = MN.
c.
TR = MN
4x - 3 = 25
4x = 25 + 3
4x = 28
divide by 4 on both sides
4x/4 = 28/4
x = 7.
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Find an expression for d so the line that passes through (a, b) and (c, d) has a slope of 1/2
Answer:
Step-by-step explanation:
In the book, they gave you the values of 'a', 'b', and 'c', and you're supposed to find the value of 'd'.
If you have two points on the line, then the slope of the line is
(the change in 'y') divided by (the change in 'x') .
If the two points are (a, b) and (c, d), then the slope of the line is
(d - b) divided by (c - a),
and you have to find the value of 'd' that makes that whole expression
equal to 1/2.
(d - b) / (c - a) = 1/2
Multiply each side by (c - a): (d - b) = 1/2(c - a)
Add 'b' to each side: d = 1/2(c - a) + b
If you know the values of 'a', 'b', and 'c', you can find the value of 'd'.
PLS HELP
1) What is the value of x?5(4x+8)=85+5x
2) What is the value of x?x+3x+2x+3(x+1)=30
3)What is the value of x?
3/2-7/4= -9/8
A spherical tennis ball has a volume
of 200 cm³. Calculate the radius
of the ball. Give your answer
correct to 3 significant figures
Answer:
Step-by-step explanation:
V = (4/3) πR³
R = ³√(3V/(4π))
R = ³√(3*200/(4π)) = ³√(150/π) см
If cos x = -2/5, what is the value of cos 2x?
The value of cos 2x = -21/25.
Given:
cos x = -2/5
we know that,
cos 2x = [tex]2cos^{2}x -1[/tex]
= 1([tex](-2/5)^{2}[/tex] - 1
= 1[tex](2/5)^{2}[/tex] - 1
= 1*4/25 - 1
= 4/25 - 1
= 4 - 25 / 25
= -21/25.
Therefore the value of cos 2x = -21/25.
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I don't know what I'm suppose to do.
The equation of a line is y = mx +b
m = slope - which is equal to 1
x = x coordinate
b = y intercept (where the line hits the y axis)
y = y coordinate.
The point (2, 0) shows that when x = 2, y = 0. So we can plug that into the equation:
0 = 1(2) + b
0 = 2 + b
0 - 2 = 2 -2 +b
-2 = b
So the equation of the line is y = x - 2
I hope this helps!
a study was made on the effects of several health additives for a number of elite runners, the results of a one-way anova are presented in the following table. how many additives were in the study? source df sum of squares ms between 3 55.00 within 15 450.50 total 18 505.50
A total of 14 additives were included here in a study of the effects of various health additives on various top runners.
One-Way ANOVA Test :;Uses one-way analysis of variance (ANOVA) to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups.
Need of One way ANOVA :
When working with individuals, this situation can be encountered using two different types of study designs group. Then have each group perform a different task and measure the outcome/response to the same dependent variable. In the given problem, the term "Between" in the source table refers to processing. The term "within" refers to the error term. The inner term represents the variability that exists between runners. The total number of
additives is one more than his total number of
degrees of freedom (df). Total degrees of freedom for = N – 1. Total degrees of freedom = 18,so N= 19
Hence, total additives for given study is 19.
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Complete Question:
study was made on the effects of several health additives for a number of elite
runners. The results of a One-Way ANOVA are presented in the following table.
how many additives were in the study?
Source। Df Sum of Squares MS
Between 3 55.00
Within 15 450.00
Total 18 505.50
A. 18
B. 19
C. 7
D. 8
18) The profit that the vendor makes per day by selling x pretzels is given by the function
P(x) = -0.004x2 + 2.8x - 100. Find the number of pretzels that must be sold to maximize profit.
A) 390 pretzels
B) 350 pretzels
C) 700 pretzels
D) 1.4 pretzels
Answer:
B) 350 pretzels=====================
GivenFunction P(x) = - 0.004x² + 2.8x - 100To findThe value of x, which makes the P(x) maximumSolutionThis is a quadratic function and it can get maximum at vertex.
The x-coordinate of the vertex is determined by x = - b/(2a).
We have:
a = - 0.004 and b = 2.8Find the value of x:
x = - 2.8 / (2* (-0.004)) = 350Correct choice is B.
In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are , , .
In the triangle ABC, the side lengths, in order from the greatest to the least, are : AC > AB > BC.
We are given a triangle. The vertices of the triangle are A, B, and C. The measures of the angles ∠A, ∠B, and ∠C are 36°, 84°, and 60°, respectively. We need to arrange the side lengths in order from the greatest to the least.
The side lengths are proportional to their opposing angles in a triangle. It means that the side opposite the largest angle is the largest side, and vice versa. The angles arranged in descending order are : 84° > 60° > 36°. The angles arranged in descending order according to the vertices are : B > C > A. The order of the lengths of the opposite sides must be the same.
Hence, the side lengths, in order from the greatest to the least, are : AC > AB > BC.
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assume that each of 2000 frogss living near a nuclear power plant is exposed to particles of a certain kind of radiation at an average rate of one per week. suppose that each hit by a particle is harmless with probability 1 - 10-5 , and produces a tumor with probability 10-5 . find the approximate distribution of
distribution of the total number of tumors produced in the whole population over a one-year period by this kind of radiation is 0, 1, 2, ..................104000.
let, x denote the total number of hits,
y denotes the number of hits by a particle in a year or an individual,
one per week ⇒ 52 per year
therefore, rate = 52 per year
since it is very rare to hit all individuals, we can use Poisson distribution.
therefore by using the formula p (x = x) = (e^(-rate) × rateˣ) ÷ x! ; x = 0, 1, 2, ............( 2000 × 52)
p (x = 2) = (e⁻⁵² × 52ˣ) ÷ x! ; x = 0, 1, 2, ............104000
now each hit has a harm of probability 10⁻⁵.
so p(total no. of tumors produced over a one year period)
= {e⁻⁵² × 52ˣ} ÷ x! × 10⁻⁵ ; x = 0, 1, 2, ............104000
therefore total no. of tumors = 2000 × (e⁻⁵² × [tex]52^{x.10^{-5} }[/tex] ) ÷ x! × xⁿ ; x = 0, 1, 2, ............104000
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(complete question)
Assume that each of the 2000 individuals living near a nuclear power plant is exposed to particles of a certain kind of radiation at an average rate of one per week. Suppose that each hit by a particle is harmless with a probability of 1 - 10⁻⁵, and produces a tumor with a probability of 10⁻⁵. Find the approximate distribution of the total number of tumors produced in the whole population over a one-year period by this kind of radiation.
Select the correct answer from each dropdown menu. Consider this expression. The simplest form of the expression has in the numerator and in the denominator?
The simplest form of the expression has 4 in the numerator and (x-2) in the denominator.
What are numerator and denominator?The numerator indicates the total number of selected equal parts. Whereas, the denominator indicates the total number of equal parts.
We have the expression
3/(x-2) + (x-2) / (x²-4x+4)
Simplifying x²- 4x +4 gives (x-2)².
Therefore, we can write the expression as
3/(x-2) + (x-2)/(x-2)² = 3/(x-2) + 1/(x-2)
= 4/(x-2).
Therefore, the simplest form of the expression has 4 in the numerator and (x-2) in the denominator.
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Value of (64/25)^-1/2
final answer:
Hence, the simplest form of (64/25) -1/2 is 5/8
what is 4 1/10 plus -2 3/10
there are 7 students on a team. if they must elect a president, a vice president, and a treasurer, how many different arrangements of candidates are possible
Different arrangements of candidates are possible is 210.
Given:
There are 7 students on a team. if they must elect a president, a vice president, and a treasurer.
Number of arrangements = [tex]7_p_{3}[/tex]
= 7!/(7-3)!
= 7!/4!
= 7*6*5*4! / 4!
= 7*6*5*1
= 42*5*1
= 42*5
= 210
Therefore Different arrangements of candidates are possible is 210.
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Write equations for lines a, b, c, d, and e.
PLEASE HURRY! I'll give you brainiest pleaseee.
The equations of lines are given below.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The equation for line a is,
x=-5.
The equation for line b is,
x=5.
The equation for line c is,
y=5.
The equation for line d is,
y=-2.
The equation for line e is
x+y=1
The equations of lines are given above.
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If the figures below are similar, find the ratio of the sides of Figure B to Figure A.
Rosa's friend jake claims that he can read minds. To test jake's abilities, rosa chooses 333 different numbers from 111 to 101010. Rosa then asks jake to identify which 333 of the 101010 numbers she chose in the correct order. Assume that jake has no special abilities and is randomly guessing the numbers. What is the probability that jake correctly identifies all 333 numbers in the correct order?.
By using the concept of Probability, the result obtained is -
Probability of guessing the correct order = [tex]\frac{1}{720}[/tex]
What is Probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probality of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
There are 10 numbers from 1 to 10
Number of favourable outcomes = 10 [tex]\times[/tex] 9 [tex]\times[/tex] 8
= 720
There is only one correct order
So probability of guessing the correct order = [tex]\frac{1}{720}[/tex]
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Correct Question
To test Jake's abilities, Rosa chooses 3 different numbers
from 1 to 10. Rosa then asks Jake to identify which 3 of the 10 numbers she chose in the correct order.
Assume that Jake has no special abilities and is randomly guessing the numbers. What is the probability that Jake correctly identifies all 3 numbers in the correct order?.
~Hi ❣️ -----------The black graph is the graph of y=f(x). Choose the equation for the red graph. First correct answer gets brainliest!
Answer:
ummm im going to guess c.
Step-by-step explanation:
What is the next three terms in the sequence: -21, -17, -13, -9, -5,
Answer:
-1, 3, 7
Step-by-step explanation:
this is adding 4 every time
hopes this helps please mark brainliest
Answer: -1, 3, 7
Explanation: The pattern in this sequence, is that you add 4 for every new number in the sequence. So -5+4 is -1. Then the next one would be -1+4 is 3. And then finally, the next one would be 3+4, which is 7.
In AMNO, o = 9.4 inches, n = 1.8 inches and ZN=39°. Find all possible values of 20,
to the nearest 10th of a degree
Answer:
No Possible Triangle
Step-by-step explanation:
Sine cannot be greater than 1
No Possible Triangles
Someone please help also can someone tell if the second one is right
a. g(x) is a function that is an output multiple of 3 of f(x), g(x) is {(1, 6), (3, 15), (5, 3)}.
b. g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, f(x) that is {(1, 2), (3, 5), (5, 1)}.
Now g(x) is a function that is an output multiple of 3 of f(x).
∴ g(x) is {(1, 2×3), (3, 5×3), (5, 1×3)}.
g(x) is {(1, 6), (3, 15), (5, 3)}.
g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3 so it is stretched 3 times of the f(x).
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9a-b-2a-10b simplify this expression
A. -7a+11b
B. 11a+9b
C. -11a-9b
D. 7a-11b
please solve with explanation Q^Q
Step-by-step explanation:
answer is D
if u like it mrk me as brainliest
Answer: d) 7a-11b
Step-by-step explanation:
First collect all like terms
9a - 2a - 10b - b
= 9a - 2a = 7a
= -10b - b = -11b
Therefore the answer is 7a - 11b (D)
Jerry's seed palace claims that 80% of its lima bean seeds will germinate. Suppose the company's claim is true. Callie buys a packet with 20 lima bean seeds from jerry's seed palace and plants them in her garden. What is the probability that exactly 14 seeds will germinate?.
The probability that exactly 14 seeds will germinate is 0.109
According to the company, 80% of lima bean seeds germinate.
Callie purchases 20 lima beans.
To determine: the likelihood that exactly 14 seeds will germinate.
We use the binomial distribution to obtain the required probability when we need to track the success and failure of multiple objects (multiple Bernoulli trials)
Let X be the random variable that tracks the number of seeds that germinate out of a total of 20 seeds. The success rate is 80%, or 0.8.
Thus X ~ B(20,0.8)
The probability of X = x is given by:
P(X=x) = 20[tex]C_{x}[/tex][tex](0.8)^{x}[/tex][tex](1-0.8)^{20-x}[/tex]
Thus
P(X=14) = 20[tex]C_{14}[/tex][tex](0.8)^{14}[/tex][tex](1-0.8)^{20-14}[/tex]
P(X=14) = 38760 × 0.04398 × 0.000064 = 0.109
The probability that exactly 14 seeds will germinate is 0.109
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Electronics Company assembles 240 iPads every day. How many iPads are assembled in one year?
Answer:
87,600 iPad are assembled in a year.
Step-by-step explanation:
You take the number of iPads assembled every day (240) and multiply it by the number of days in a year (365). 240 multiplied by 365 is 87,600.
how many t-shirts and shorts might dalton have bought? select all that apply.
a- 6 t-shirts and 6 pairs of shorts
b- 7 t-shirts and 5 pairs of shorts.
c- 2 t-shirts and 1 pair of shorts.
d- 2 t-shirts and 0 pairs of shorts.
e- 3 t-shirts and 2 pairs of shorts.
Answer:
a.
b.
e.
I think I hope this helps
Use the order of operations to evaluate 14+13(10 − 1).
Answer:
131
Step-by-step explanation:
14+13(10-1)
14+13(9)
14+117
131
Answer:
The solution is 131
Step-by-step explanation:
I think we must prioritize multiplication
14+13(10-1)
= 14+13(9)
= 14+117
= 131
If n is a positive integer, the symbol n! (read ’n factorial’) represents the product of the integers from 1 to n. For example, 4! = (1)(2)(3)(4) = 24. If x and y are integers 30!/36x+25y is equal to an integer, what is the maximum possible value of x + y?
(A)10 (B)47 (C)17 (D)26 (E) 13
Answer:c
Step-by-step explanation:
is m=-6 a solution to the inequality m less than or equal to -12
Answer:
No
Step-by-step explanation:
1) Write out the inequality to get a better understanding
m ≤ -12
From this we can see that m can be any number less than -12!
2) Find out possible solutions
As -12 is a negative number, any number less than it would have a larger absolute value.
Some examples of numbers less than -12 would be -15, -13, -36 ect.
HINTS:
It may be easy to confuse which number is greater or smaller than a negative number.
To make sure that we don't make a mistake, we can always put the numbers on a number line!
Any number to the left of it, is smaller, and any number to the right, is larger!
Hope this helps, have a great day!
Cora is playing a game that involves flipping three coins at once. Let the random variable hhh be the number of coins that land showing "heads". Here is the probability distribution for hhh:.
Cora is flipping three coins at once. The probability that the number of landed coins showing "heads" is less than 3 is 0.875
Probability is a measure how likely an event occurs. Probability of an event A is calculated as:
P(A) = number of ways A can occur / total possible outcomes
Let A and B be independent events, then the followings hold:
P (A and B) = P (A∩B) = P(A) + P(B)
P (A or B) = P (A∪B) = P(A) · P(B)
P (not A) = P(Ā) = 1 - P(A)
In the given problem, H is an event where the number of landed coins showing heads.
The probability distribution for H is:
P(H = 0) = 0.125
P(H = 1) = 0.375
P(H = 2) = 0.375
P(H = 3) = 0.125
The probability of three coins show heads less than 3 is:
P(H < 3) = 1 - P(H=3)
= 1 - 0.125 = 0.875
It can also be obtained using:
P(H<3) = P(H=0) + P(H=1) + P(H=2)
= 0.125 + 0.375 + 0.375
= 0.875
Hence, the probability of three coins show heads less than 3 is 0.875.
Complete question:
Cora is playing a game that involves flipping three coins at once. Let the random variable H be the number of coins that land showing "heads". Here is the probability distribution for H:
P(H = 0) = 0.125, P(H = 1) = 0.375, P(H = 2) = 0.375, P(H = 3) = 0.125. What is the probability H is less than 3.
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