Answer:
The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.
Step-by-step explanation:
Denote the events as follows:
X = a fisher at Clearwater Park had a fishing license
Y = a fisher at Mountain View Park had a fishing license
The two events are independent.
The information provided is:
n (X) = 48
n (X') = 32
n (Y) = 72
n (Y') = 18
Then,
N (X) = n (X) + n (X')
= 48 + 32
= 80
N (Y) = n (Y) + n (Y')
= 72 + 18
= 90
Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:
[tex]P(X'\cap Y)=P(X')\times P(Y)[/tex]
[tex]=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32[/tex]
Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.
the first number in the pattern is 32 the rule is to add 27
Answer:
59
Step-by-step explanation:
What is negative 2/3 + 4/6
Answer: 0
Step-by-step explanation:
The common denominator is 6
-2/3 = -4/6
-4/6 + 4/6 = 0
A film distribution manager calculates that 9% of the films released are flops. If the manager is correct, what is the probability that the proportion of flops in a sample of 701 released films would be greater than 7%? Round your answer to four decimal places. Please show how to enter short hand in calculator.
Answer:
The probability that the proportion of flops in a sample of 701 released films would differ from the population proportion by greater than 7% is 0.00001
Step-by-step explanation:
We are given;
Probability that the films released are flops = 9% = 0.09
Sample size = 701
Formula for standard deviation is;
σ = √(p(1 - p)/n)
σ = √(0.09(1 - 0.09)/701)
σ = √0.0001168331
σ = 0.0108
We want to find the probability that the proportion of flops in a sample of 701 released films would be greater than 7%.
Thus, it means x - μ = 7% = 0.07
Z-score formula here is;
z = (x - μ)/σ
z = 0.07/0.0108
z = 6.4815
From online p-value from z-score calculator attached using; z = 6.4815, Nominal significance level = 0.05, two tailed distribution, we have;
P-value = 0.00001
I need help with this question.
Answer:
Angle RQT and Angle RQO
Step-by-step explanation:
These angles share the common vertex of Q and the common side of RQ
Answer:
The first option.
Step-by-step explanation:
The way I always remember adjacent angles is they are kinda beside each other.
Two construction contracts are to be randomly assigned to one or more of three firms: I, II, and III. Any firm may receive both contracts. Each contract will yield a profit of $90,000. Assume that firms I and II are actually owned by the same individual. Find the probability distribution of X, the owner's total profit.
Answer:
The owner's total profit is $120,000.
Step-by-step explanation:
Assume that:
X₁ = contract is assigned to firm 1
X₂ = contract is assigned to firm 2
The sample space for assigning the two contracts is:
S = {(I, I), (I, II), (I, III), (II, I), (II, II), (II, III), (III, I), (III, II) and (III, III)}
There are total of 9 possible combinations.
So, the probability of selecting any of the combination is, 1/9.
Compute the probability distribution of X₁ and X₂ as follows:
X₁ P (X₁) X₂ P (X₂)
0 4/9 0 4/9
1 4/9 1 4/9
2 1/9 2 1/9
Compute the expected values of X₁ and X₂ as follows:
[tex]E(X_{1})=\sum X_{1}\cdot P(X_{1})\\\\=(0\times\frac{4}{9})+(1\times\frac{4}{9})+(2\times\frac{1}{9})\\\\=\frac{6}{9}\\\\=\frac{2}{3}[/tex] [tex]E(X_{2})=\sum X_{2}\cdot P(X_{2})\\\\=(0\times\frac{4}{9})+(1\times\frac{4}{9})+(2\times\frac{1}{9})\\\\=\frac{6}{9}\\\\=\frac{2}{3}[/tex]
It is provided that each contract will yield a profit of $90,000.
Compute the owner's total profit as follows:
[tex]\text{Total Profit}=\text{Profit}\times [E(X_{1})+E(X_{2})][/tex]
[tex]=90000\times[\frac{2}{3}+\frac{2}{3}]\\\\=120000[/tex]
Thus, the owner's total profit is $120,000.
I will give the BRAINIEST!!!
Which of these statements best describes the relation shown?
Answer:
i believe the answer is C
Step-by-step explanation:
i dont know its just what i would choose im not the smartests in math
What number is between 0.3 and 7.5
Answer:
3.9?
Step-by-step explanation:
Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-life of the substance? The half-life is:_______.
(A) Less than 600 years
(B) Between 600 and 700 years
(C) Between 700 and 800 years
(D) Between 800 and 900 years
(E) More than 900 years
Answer:
The correct answer is:
Between 600 and 700 years (B)
Step-by-step explanation:
At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:
[tex]A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years[/tex]
First, let us calculate the decay constant (k)
[tex]75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036[/tex]
Next, let us calculate the half-life as follows:
[tex]\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2} \approx 669\ years[/tex]
Therefore the half-life is between 600 and 700 years
Write a quadratic equation with the following transformations.
1. Reflected over the x-axis
2. Moved down 6
Am eastern cotttentail rabbit and ferret weigh 7 lbs together. The ferret weighs 2 lbs more than the rabbit. Create a system of equations to represent the scanario. How much does each weigh. If the answer is not an integer write as a decimal.
Answer:
Step-by-step explanation:
The first equation is the weights of the rabbit and the ferret together which is
r + f = 7.
The second equation puts the weight of the ferret in terms of the rabbit. If the ferret's weight is 2 pounds more than the rabbit, then
f = r + 2 (the word "is" means equals). Since we know what f is equal to, we will sub it into the first equation and solve for r:
r + (r + 2) = 7 and
2r + 2 = 7 and
2r = 5 so
r = 2.5 pounds.
A rabbit weights 2.5 pounds and the ferret weights 7 - 2.5 which is 4.5 pounds.
It takes Daphne 25 minutes to assemble a model plane. During her work
minutes for lunch and one 15 minute break. Which inequality could Daphne use to determine the number
of model planes, p, she can assemble in her 8 hour work day?
A. 25p – 45 > 8
B. 25p + 45 2 8
C. 25p – 45 < 480
D. 25p + 45 < 480
Answer:25p+45<480
Step-by-step explanation:
Answer: 25p+45<480
Step-by-step explanation:
Every time you have your cholesterol measured, the measurement may be slightly different due to random fluctuations and measurement error. Suppose that for you, the population of possible cholesterol measurements if you are healthy has a mean of 190 and a standard deviation of 10. Further, suppose you know you should get concerned if your measurement ever gets up to the 97th percentile. What level of cholesterol does that represent?
Complete Question
The complete question is shown on the first uploaded image
Answer:
a i
[tex]P(X < 185 ) = 0.3085 [/tex]
a ii
[tex]P(X > 195 ) = 0.3085 [/tex]
a iii
[tex]P(185 < X < 195 ) = 0.3829 [/tex]
b
[tex]x = 208.8[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 190[/tex]
The standard deviation is [tex]\sigma = 10[/tex]
Generally the probability is less than 185 is mathematically represented as
[tex]P(X < 185 ) = P(\frac{X - \mu }{\sigma } < \frac{185 - 190 }{10 } )[/tex]
Generally [tex]\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ \ of \ X)[/tex]
=> [tex]P(X < 185 ) = P(Z< -0.5)[/tex]
From the z-table the p value of (Z< -0.5) is
[tex]P(Z< -0.5) = 0.3085[/tex]
So
[tex]P(X < 185 ) = 0.3085 [/tex]
Generally the probability is less than 185 is mathematically represented as
[tex]P(X > 195 ) = P(\frac{X - \mu }{\sigma } > \frac{195 - 190 }{10 } )[/tex]
=> [tex]P(X > 195 ) = P(Z > 0.5)[/tex]
From the z-table the p value of (Z > 0.5) is
[tex]P(Z > 0.5) = 0.3085[/tex]
So
[tex]P(X > 195 ) = 0.3085 [/tex]
Generally the probability is less than 185 is mathematically represented as
[tex]P(185 < X < 195 ) = P( \frac{185 - 190 }{10 } < \frac{X - \mu }{\sigma } < \frac{195 - 190 }{10 } )[/tex]
=> [tex]P(185 < X < 195 ) = P(-0.5 < Z > 0.5)[/tex]
=> [tex]P(185 < X < 195 ) = P(Z < 0.5 ) - P(Z < -0.5) [/tex]
From the z-table the p value (Z < 0.5) and (Z < -0.5) is
[tex]P(Z < 0.5) = 0.6915 [/tex]
and
[tex]P(Z < - 0.5) = 0.3085[/tex]
So
=> [tex]P(185 < X < 195 ) = 0.6915 - 0.3085 [/tex]
=> [tex]P(185 < X < 195 ) = 0.3829 [/tex]
Generally the level of cholesterol the 97th percentile represents is mathematically evaluated as
[tex]P(X < x ) = 0.97[/tex]
=> [tex]P(X < x ) = P(\frac{X - \mu}{\sigma } < \frac{x - 190}{10 } ) = 0.97[/tex]
=> [tex]P(X < x ) = P(Z < \frac{x - 190}{10 } ) = 0.97[/tex]
From the z-table the z-score for 0.97 is
[tex]z-score = 1.88[/tex]
=>
[tex]\frac{x - 190}{10 } = 1.88[/tex]
=>[tex]x = 208.8[/tex]
Two parallel lines are crossed by a transversal.
What is the value of b?
O b 32
O b = 118
Ob=52
o b = 128
Answer:
D. b = 128
Step-by-step explanation:
Find the diagram to the question attached.
From the diagram, line p is parallel to line q i.e p//q
You must understand that the angle at the opposite side of the transversal are equal i.e alternate angle.
From the diagram, <b = 118° (alternate angle)
Hence option D is correct
Answer:
D) o b = 128
Step-by-step explanation:
YW :)
An oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 25 barrels per day.
Required:
How many additional wells should be drilled to obtain the maximum amount of oil per day?
Answer:
The additional wells for maximum amount of oil per day is 3 wells.
Step-by-step explanation:
Given;
initial number of wells, n = 6
total production, T = 1800
average production per well, = 1800/6 = 300 barrels per day
Let the additional well = y
total number of wells after optimization = 6 + y
new production per well = 300 - 25y
new total production = (6+y)(300-25y)
t = 1800 - 150y + 300y - 25y²
t = 1800 + 150y - 25y²
dt / dy = 150 -50y
for maximum value, dt/dy = 0
150 - 50y = 0
50y = 150
y = 150 / 50
y = 3
Therefore, the additional wells for maximum amount of oil per day is 3 wells.
33 additional wells should be drilled, reaching 39 wells, to obtain the maximum amount of oil per day.
Given that an oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day, and for each additional well that is drilled, the average production per well decreases by 25 barrels per day, to determine how many additional wells should be drilled to to obtain the maximum amount of oil per day, the following calculation must be performed:
1800 x 6 = 10800 1200 x 30 = 36000 1000 x 38 = 38000 950 x 40 = 38000 900 x 42 = 37800 975 x 39 = 38025
Therefore, 33 additional wells should be drilled, reaching 39 wells, to obtain the maximum amount of oil per day.
Learn more in https://brainly.com/question/13581736
The sum of two non-zero numbers a and b equals the sum of their reciprocals. If a+b≠0, what is the product of the two numbers?
Answer:
ab = 1
Step-by-step explanation:
A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.
So the reciprocal of x would be x⁻¹ or ¹⁄ₓ
The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.
So we can write this into an equation and solve,
(See image)
Once we solve, we get the equation (ab-1)(a+b) = 0
We are given info that a+b≠0
So for the above equation to be true, ab-1 has to equal 0
For this to be true, the product ab must equal 1
A ball is thrown directly upward from a height of 8 ft with an initial velocity of 24 ft/sec. The function s(t) = −16t²+24t+8 gives the height of the ball, in feet, t seconds after it has been thrown. a. Determine the time at which the ball reaches its maximum height and find the maximum height.b. How long after the ball is thrown does it land back on the ground?
Answer:
(a)0.625s (b)1.569s
Step-by-step explanation:
it's Physics, not Math.
Details of the answer:
https://brainly.com/question/13741614
Answer:
With this algebraic representation of physics, we can also apply the mathmatical concept of quadratics to derive the components from this function. You can use the line of symmetry: x = -b/2a. To find the minimum or maximum height because of its association with the vertex. This function is in the standard quadratic form: ax^2 + bx + c where x is t. According to this instance, a being -16, b being 24, and c being 8. t = -b/2a → -24/-32 = 3/4 which also represents the maximum value because a is negative so it is opening downward.
To find the max height, substitute the value of x back into the equation f(3/4) = -16(3/4)^2 + 24(3/4) + 8 →
-9 + 18 + 8 = 17ft [maximum height]
We already solved for the time (x) in terms of t which is 3/4 sec [time of maximum height].
To the nearest megawatt, what is the mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010?
Answer:
7739.5
Step-by-step explanation:
Use the scientific calculator given in this course to simplify 8^3.
Answer:
512
Step-by-step explanation:
8x8x8 is equals to 512
Answer these two questions correctly and I’ll give brainlist ❤️.
Carmen spent 88$ at the mall. The money she spent was 25% of the total amount she had in her wallet. How much money did Carmen have in her wallet?
Kendrick caught 22 rainbow trout and 18 tiger trout while fishing last month. What percent of the trout were the tiger trout?
I will be giving out brainlist if the answer you submitted was correct❤️.
Please answer correctly and don’t waste my points these were hard to earn :((((
Answer:
Question 1: She had $352 in her wallet
Question 2: The percent of the trout were the tiger trout is 45%
Step-by-step explanation:
Question 1:
∵ Carmen spent $88 at the mall
∵ The money she spent was 25% of the total amount she had in her wallet
→ Assume that the amount she had in her wallet is $x
∴ 25% of x = 88
→ Change 25% to decimal by divide it by 100
∵ 25% = [tex]\frac{25}{100}[/tex] = 0.25
∴ 0.25 × x = 88
∴ 0.25x = 88
→ Divide both sides by 0.25 to find x
∴ [tex]\frac{0.25x}{0.25}=\frac{88}{0.25}[/tex]
∴ x = 352
∵ x represents the total amount she had in her wallet
∴ She had $352 in her wallet
Question 2:
∵ Kendrick caught 22 rainbow trout and 18 tiger trout while fishing
last month
∴ The number of rainbow trout = 22
∴ The number of tiger trout = 18
→ To find the percent of tiger trout divide its number by the total number
of trout, then multiply the result by 100%
∵ The total number of the trout = 22 + 18 = 40
∴ The percent of the tiger trout = [tex]\frac{18}{40}[/tex] × 100%
∴ The percent of the tiger trout = 45%
∴ The percent of the trout were the tiger trout is 45%
What is 837 divided by 27
Answer: 31
Step-by-step explanation: long division
9 square root of 45 help me please
Answer:
60.3738353925. Rounded, this is 60.4
Step-by-step explanation: If this is the wrong answer you may delete this.
solve for a in the figure shown.
Answer:
40
Step-by-step explanation:
110+30=140
but a full triangle should equal 180
so 180-140=40
140+40=180
brainlist if you can pls :>
0.8 kg is more or less than 0.6 kg
Answer:
More than
Step-by-step explanation:
Answer:
More
Step-by-step explanation:
The ratio of boys to girls in an after school recycling club is 4:7. If there are 20 boys in the recycling club, how many girls are there?
Answer:
There are 35 girls in the recycling club
Step-by-step explanation:
4 boys : 7 girls
20 boys : x girls
In order to get to 20, you have to multiply 4 by 5, so multiply 5 to 7 for the girls.
7(5) = 35
There are 35 girls
What is the final cost of an item that is priced at $22.35 with a sales tax rate of 6%?
Answer:
$23.69
Step-by-step explanation:
Multiply the price by the tax percent, then add the two numbers.
A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the length is 11 V2 cm or less.
Required:
a. If the probability of this has to be less than 0.01, what is the maximum allowable standard deviation?
b. Assuming this standard deviation, what is the probability that the product’s length will be between 11.75 and 12.35 cm?
Answer:
a) σ = 0,1612
b) P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %
Step-by-step explanation:
NOTE: I assume the unusable length s 11,5 and less
a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) = -3,1 then:
- 3,1 = ( X - μ₀ ) / σ
- 3,1 = (11,5 - 12 )/ σ
-3,1 = - 0,5 / σ
σ = 0,1612
b) If σ = 0,1612
P [ 11,75 < X < 12,35]
z₁ (score) = ( 11,75 - 12 ) / 0,1612
z₁ = - 0,25/ 0,1612
z₁ = -1,55
From z table P [ 11,75 < X] = 0,0606
z₂ (score) = ( 12,35 - 12) / 0,1612
z₂ = 0,35 / 01612
z₂ = 2,17
From z table P [ X < 12,35] = 0,9850
Finally P [ 11,75 < X < 12,35] = 0,9850 - 0,0606
P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %
If the cosmic radiation to which a person is exposed while flying by jet across US is a random variable having mean 4.35 mrem and standard deviation 0.59 mrem,find the probabilities that the amount of cosmic radiation to which a person will be exposed on such a flight is:_______
(a) Between 4.00 and 5.00 mrem
(b) At least 5.50 mrem
(c) Less than 4.00 mrem
Answer:
a
[tex]P(4.00 < X < 5.00) = 0.58818 [/tex]
b
[tex]P(X \ge 5.5) = 0.02564 [/tex]
c
[tex]P(X < 4 ) = 0.27652[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 4.35[/tex]
The standard deviation is [tex]\sigma = 0.59[/tex]
Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is between 4.00 and 5.00 mrem is mathematically represented as
[tex]P(4.00 < X < 5.00) = P(\frac{ 4 - \mu }{\sigma} < \frac{X - \mu}{\sigma} < \frac{ 5 - \mu }{ \sigma} )[/tex]
Here [tex]\frac{X - \mu}{\sigma} = Z (The \ standardized \ value \ of \ X )[/tex]
=> [tex]P(4.00 < X < 5.00) = P(\frac{ 4 - 4.35 }{0.59} < Z < \frac{ 5 - 4.35 }{ 0.59} )[/tex]
=> [tex]P(4.00 < X < 5.00) = P(-0.59322 < Z < 1.1017 )[/tex]
=> [tex]P(4.00 < X < 5.00) = P( Z < 1.1017 ) - P(Z < -0.59322) [/tex]
From the z -table the probability of ( Z < 1.1017 ) and (Z < -0.59322) are
[tex]P( Z < 1.1017 ) =0.8647[/tex]
and
[tex]P( Z < -0.59322 ) =0.27652[/tex]
So
=> [tex]P(4.00 < X < 5.00) = 0.8647 - 0.27652 [/tex]
=> [tex]P(4.00 < X < 5.00) = 0.58818 [/tex]
Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is At least 5.50 mrem is mathematically represented as
[tex]P(X \ge 5.5) = 1- P(X < 5.5)[/tex]
Here
[tex]P(X < 5.5) = P(\frac{X - \mu }{\sigma} < \frac{5.5 - 4.35}{0.59} )[/tex]
[tex]P(X < 5.5) = P(Z< 1.94915) [/tex]
From the z -table the probability of (Z< 1.94915) is
[tex]P(Z< 1.94915) = 0.97436[/tex]
So
[tex]P(X \ge 5.5) = 1- 0.97436[/tex]
=> [tex]P(X \ge 5.5) = 0.02564 [/tex]
Generally the probability that the amount of cosmic radiation to which a person will be exposed on such a flight is less than 4.00 mrem is mathematically represented as
[tex]P(X < 4) = P(\frac{X - \mu }{\sigma} < \frac{4 - 4.35}{0.59} )[/tex]
[tex]P(X < 4) = P(Z< -0.59322) [/tex]
From the z -table the probability of (Z< 1.94915) is
[tex]P(Z< -0.59322) = 0.27652[/tex]
So
[tex]P(X < 4 ) = 0.27652[/tex]
The table below shows the location of four treasure chests relative to sea level. Which treasure chest is the farthest away from sea level?
a 0.75 foot
b 5/4 feet
c -0.5 foot
1 foot
Answer:
Step-by-step explanation:
sea level means negative so it have to be C -0.5 foot
problem solved
-5<2-h or 6h +5<71 chapter 2 test
Answer:
-5<2-h or 6h+5<71
-7<-h or 6h<66
7>h or h<11
h<7 or h<11
Step-by-step explanation:
The inequality that represents the solution of the given set -
- 5 < 2 - h or 6h + 5 < 71 is h < 11.
What is inequality in mathematics?
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given are the following inequalities -
- 5 < 2 - h or 6h + 5 < 71
We will solve the given inequalities one by one -
Inequality - 1
- 5 < 2 - h
Subtract 2 from both sides -
- 7 < - h
Multiply by -1 on both sides -
h < 7
Inequality - 2
6h + 5 < 71
Subtract 5 from both sides -
6h < 66
Divide by 6 on both sides -
h < 11
Now, h can be either -
h < 11 or h < 7
We can write it as a single inequality as -
h < 11 [this set of numbers will include all numbers less than 7]
Therefore, the inequality that represents the solution of the given set -
- 5 < 2 - h or 6h + 5 < 71 is h < 11.
To solve more questions on Inequalities, visit the link below-
brainly.com/question/14875221
#SPJ2
Question 8
2 pts
If a package of gift cards has a total value of $1050, how much does the average set of 2
gift cards price at if there are 15 in the group?
D
Question 9
2 pts
Answer:
The average set of 2 gift cards will price at $140
Step-by-step explanation:
If there are 15 in the group, and there is a total of $1050, this means that the individual prices will be;
$1050/15 = $70
So each gift card in the group cost $70
So the price of 2 will be 2(70) = $140