Answers
Answer:
(b)
Step-by-step explanation:
Given
A roll of a six sided die
Required
Which of the options is true
A) P(Even) = 1/4 and P(Odd) = 3/4
In a die, we have:
[tex]S = \{1,2,3,4,5,6\}[/tex] -- sample space
[tex]E = \{2,4,6\}[/tex] --- Even
[tex]O = \{1,3,5\}[/tex] -- Odd
The probability of even is the number of even sides over total.
i.e.
[tex]P(Even) = 3/6[/tex]
[tex]P(Odd) = 3/6[/tex]
Hence, (a) is incorrect
(b) A) P(Even) = 1/2 and P(Odd) = 3/2
In (a), we have:
[tex]P(Even) = 3/6[/tex]
[tex]P(Odd) = 3/6[/tex]
Simplify each
[tex]P(Even) = 1/2[/tex]
[tex]P(Odd) = 1/2[/tex]
Hence (b) is true
Since (b) is true, (c) and (d) are false
Related Questions
Hi, I need the area to this problem i need the answer and to show my work no hackers please
Answers
In Littletown, the probability that a baseball team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs given that the
team goes to the city playoffs is 0.50.
What is the probability that a randomly selected team from Littletown goes to
the city and state playoffs?
A. 0.15
B. 0.25
C. 0.10
Ο Ο
D. 0.20
SUBMIT
Answers
Answer:
C. 0.10
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Goes to the city playoffs
Event B: Goes to the state playoffs.
In Littletown, the probability that a baseball team goes to the city playoffs is 0.20.
This means that [tex]P(A) = 0.2[/tex]
The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.50.
This means that [tex]P(B|A) = 0.5[/tex]
What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)*P(B|A) = 0.2*0.5 = 0.1[/tex]
The correct answer is given by option C.
The figure below shows three edge views of a square loop with sides of length ℓ = 0.420 m in a magnetic field of magnitude 2.25 T. Calculate the magnetic flux (in Wb) through the loop oriented perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field.
Three figures show an x y coordinate plane with the +x-axis pointing to the right and the +y-axis pointing upward. A magnetic field labeled vector B points to the right in the positive x-direction. In each figure, a bar of length ℓ is shown in different orientations.
In the first figure, the bar is oriented vertically, perpendicular to the magnetic field.
In the second figure, the bar is tilted so that the top end is further right than the bottom end, making a 60.0° angle with the magnetic field.
In the third figure, the bar is oriented horizontally, parallel to the magnetic field.
HINT
(a)
perpendicular to the magnetic field
Wb
(b)
60.0° from the magnetic field
Wb
(c)
parallel to the magnetic field
Wb
Answers
The magnetic flux of the following options are; 0.072, 0.062, 0.
How to calculate the magnetic flux?The magnetic flux can be calculated by the given formula;
Flux = magnetic field B x area A x cos(angle between B and normal of A)
Given;
Magnetic field B = 2.25 T
The length ℓ = 0.420 m
Flux = 2.25 * 0.42^2 * cos(angle)
Flux = 0.072 * cos(angle)
a) The perpendicular to the magnetic field Wb
So, angle = 0°, flux = 0.072 Wb
b) 60.0° from the magnetic field Wb
So, angle = 30°,
flux = 0.072*cos(30) = 0.062 Wb.
c) parallel to the magnetic field Wb
So, angle = 90°, flux = 0
Learn more about magnetic flux here;
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Point M is located at (6, 7) on the coordinate plane. Point N is located 5 units to the left and 2 units down from point
M.
Answers
Answer:
(1,5)
Step-by-step explanation:
x:
6-5=1
y:
7-2=5
Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 20, 15, and 30 min, respectively, and the standard deviations are 1, 2, and 1.5 min, respectively. What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component
Answers
Answer:
0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Sum of normal variables:
When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.
The mean values are 20, 15, and 30 min, respectively:
This means that [tex]\mu = 20 + 15 + 30 = 65[/tex]
The standard deviations are 1, 2, and 1.5 min, respectively.
This means that [tex]\sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926[/tex]
What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?
Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 65}{2.6926}[/tex]
[tex]Z = -1.86[/tex]
[tex]Z = -1.86[/tex] has a pvalue of 0.0314
0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component
Solve for x 4x+3 2x+9
Answers
Answer:
x = 28°
I hope it's helps you
Answer:
X=28
Step-by-step explanation:
(4x+3)+(2x+9)=180
6x+12=180
6x=168
X=28
A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?
Answers
Answer:
isosceles triangle
Step-by-step explanation:
2 sides the same
pls help figure out any triangle. It would be nice if the formula and steps are included, thank u!
Answers
Answer:/Step-by-step explanation:
We would apply pythagorean theorem to find the variable in each triangle.
Pythagorean theorem is given as: c² = a² + b², where c is the hypotenuse length or longest leg while a and b are the two other legs.
Thus:
a. h² = (√20)² + 4²
h² = 20 + 16
h² = 36
h = √36
h = 6 units
b. t² = 9² - (√17)²
t² = 81 - 17
t² = 64
t = √64
t = 8 units
c. h² = (√8)² + (√8)²
h² = 8 + 8
h² = 64
h = √64
h = 8
372.3 in expanded notation
Answers
Answer: Expanded Notation Form:
300 + 70 + 2 + 0.3= 372.3
Step-by-step explanation:
Helpppp Quickk!!! Solve the following ewuation: 3x=-12
Answers
Answer:x=-2
Step-by-step explanation:
3 x -2^2
3 x -4 = -12
Answer:
[tex]3 {x}^{2} = - 12 \\ {x}^{2} = - 12 \div 3 \\ {x}^{2} = - 4 \\ x = \sqrt{ - 4 } \\ x = \frac{ + }{} 2[/tex]
Option D, hope it helps!
Darla made two batches of chocolate chip cookies each batch made 25 cookies darling use 16 total ounces of chocolate chips the chocolate chips were equally distributed through the cookies how many ounces of chocolate chips were in each cookie
Answers
Answer:
0.32
Step-by-step explanation:
Equation: 16/(2(25)) = ?
Simplify: 16/50
Solve: .32
There are 0.32 ounces of chocolate in each cookie.
There were 0.64 pounds of Choco chips in each cookie.
What is unit rate?Unit rate is a rate with 1 as the denominator. A rate is a ratio used to compare different amounts of different quantities that are somehow related.
Given that, Darla made 25 cookies with 16 pounds of Choco chips, we need to find the amount of Choco chips used in each cookie,
So,
16 pounds for 25 cookies
Therefore,
1 cookie = 16/25 pounds
1 cookie = 0.64
Hence, there were 0.64 pounds of Choco chips in each cookie.
Learn more about unit rate, click;
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PLEASE I NEED THE ANSWERS FOR THESE THREE QUESTIONS ASAP
Answers
Answer:
2) 49
3) 8
4) 85
Hope you still need them and that they are correct!
prove trigonometric identity:
[tex] { \sin}^{2} + \cos ^{2} = 1[/tex]
Please show proof and explanation I really need help
Answers
from the pic above, hope it helps you
The question is in the attatchment!
Answers
Answer:
The answer is 4
Interest rates are expected as a percentage of
Answers
Answer:
the principle amount
Step-by-step explanation:
I don't know how to explain it without an analogy so...
If a loan is charging a 10% interest amount of a $120 loan than the interest would be $12.
You multiply the interest rate by the total amount and that's how you find the amount of money you make off of interest.
(The total amount and principle amount are the same thing)
(
CH
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to
(6)?
)
Answers
Answer:
[tex]\dfrac{17}{13}[/tex]
Step-by-step explanation:
Given that,
r(x) = 3x - 1 and s(x) = 2x + 1
We need to find an expression equivalent to [tex]\dfrac{r}{s}(6)[/tex].
We know that,
[tex]\dfrac{r}{s}(6)=\dfrac{r(6)}{s(6)}[/tex]
Put x = 6 in the above expression
[tex]=\dfrac{3(6)-1}{2(6)+1}\\\\=\dfrac{18-1}{12+1}\\\\=\dfrac{17}{13}[/tex]
So, the equivalent expression is equal to [tex]\dfrac{17}{13}[/tex].
INDEPENDENT PRACTICE 3. Teresa makes a circular pizza with a 14-inch diameter. Which is the approximate area of her pizza? A. 43.96 in? B. 87.92 in2 C. 153.86 in2 D. 615.44 in?
Answers
A. 43.96in?
Step_by_step explanationWhat’s the sum of 1,015 and 119?
A. 1,314
B. 1,224
C. 896
D. 1,134
Answers
Step-by-step explanation:
Sum is addition
1015+119 = 1134
1 . Josie is taking a family vacation and she had to do a last minute grocery shop for the trip. She needs to buy graham crackers for S'mores . A 12 once box is priced at $3.49 and a 16 once box is priced at $3.99. Which is the better deal?
2. Todd drives 450 miles in 9 hours. What is his average speed ?
3. A box of 80 Legos cost $4. How much does 1 lego cost ?
Answers
2: 50 mph is his average speed
3: One Levi cost 5 cents
helpppppppppp me
i ned help
Answers
Answer:
C) 84 cm²
Step-by-step explanation:
The question is asking for the surface area of the square pyramid. So we need to get the area of all the surfaces, then add them together.
6 cm × 6 cm = 36 cm²
1/2(6 cm × 4 cm) = 12 cm² (There are 4 of these sides)
12 cm² + 12 cm² + 12 cm² + 12 cm² + 36 cm² = 84 cm²
Consider the following regression model: Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε, where the dummy variables Spring, Summer, and Fall represent the qualitative variable Season (spring, summer, fall, winter), and the dummy variable Rain is defined as Rain = 1 if rainy day, Rain = 0 otherwise. What is the regression equation for the winter rainy days?
Answers
Answer:
The regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".
Step-by-step explanation:
Given:
Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε ...........(1)
Since there can be only one of spring, summer,fall, and winter at a point in time or in a season, we will have the following when there are winter rainy days:
Spring = 0
Summer = 0
Fall = 0
Rain = 1
Substituting all the relevant values into equation (1) and equating ε also to 0, a reduced form of equation (1) can be obtained as follows:
Humidity = β0 + β1Temperature + (β2 * 0) + (β3 * 0) + (β4 * 0) + (β5 * 1) + 0
Humidity = β0 + β1Temperature + 0 + 0 + 0 + β5 + 0
Humidity = (β0 + β5) + β1Temperature
Therefore, the regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".
The regression equation for winter rainy days is
Humidity = β0 + β5 + β1Temperature
The regression model is given as:
Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε
To determine the regression equation for winter rainy days, we consider that:
[tex]Rain = 1[/tex]
This also means that:
[tex]Spring = 0[/tex]
[tex]Summer = 0[/tex]
[tex]Fall = 0[/tex]
ε = 0
Because each of these seasons can only happen one at a time, and the current season is winter
So, the regression equation becomes
Humidity = β0 + β1Temperature + (β2 * 0) + (β3 * 0) + (β4 * 0) + (β5 * 1) + 0
Evaluate the products
Humidity = β0 + β1Temperature + 0 + 0 + 0 + β5 + 0
The sum of 0 is 0. So, we have:
Humidity = β0 + β1Temperature + β5
Rewrite as:
Humidity = β0 + β5 + β1Temperature
Hence, the regression equation for winter rainy days is
Humidity = β0 + β5 + β1Temperature
Read more about regression equations at:
https://brainly.com/question/13762426
If 8 minus some number divided by 3 = 6 what is the number?
Answers
Answer:
n = 6
Step-by-step explanation:
Represent the unknown number by n. Then 8 - n/3 = 6.
Consolidate the constants on the left side: 2 - n/3 = 0, or n/3 = 2.
Multiplying both sides by 3 results in: n = 6
The height of a ball dropped from the top of a building 512 feet high is given by h(t) = -16t2 + 512, where t is in seconds and h is in feet. a) When will the ball reach the ground? Approximate your answer to two decimal places. (Hint: The height is O when it hits the ground.)
b) Why can t only be a positive value? Explain in a complete sentence.
Answers
In the following algebraic expression, determine the coefficients. -x-12+y 3 The coefficients are
Answers
Answer:
-1 and 1/3
Step-by-step explanation:
Answer:
Answer:
-1 and 1/3
Step-by-step explanation:
Step-by-step explanation:
Can you please help me :)
Answers
Answer:
P= -3
X= -18
Y= -7
S= -70
B= -9
M= -5
N= 0
Q= -22
The second slide's answers are attached to this message as a pic ;)
Step-by-step explanation:
Hope it was helpful dear ;)
i don't get it I need help
Answers
Answer:
80
Step-by-step explanation:
The area of a pyramid is given by the formula 1/3Bh.
We get the B from the area of the base of the pyramid, which is 1/2(6)(8) which is 24 inches. The height given is 10.
1/3(24)(10) is 80 inches cubed.
5) Round $2.879 to the nearest cent
6) Round 56.8567863 to the nearest tenth (one decimal place)
Answers
Bart's Art Shop sells 100 colored pencils
for $5. Circle all equivalent rates.
A. 20 colored pencils per dollar
B. 10 colored pencils per 50¢
C. 1 pencil per 5¢
D. 5 pencils per dollar
Answers
Answer:
B
Step-by-step explanation:
Divided 20 by .50 and got this
A rectangular garden measures 26ft by 37ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answer.
Answers
Without the border. 26x37= 962
1092-962 = 130
The area of this path is 130 squared feet
describe the cross section
