Answer:
Im pretty sure when your writing a question theres a place where you can upload form computer and add a picture.
Step-by-step explanation:
Hope this helps with future questions!
A red die and a blue die are thrown. Both dice are loaded (that is, not all sides are equally likely). Rolling a 1 with the red die is twice as likely as rolling each of the other five numbers and rolling a 3 with the blue die is twice as likely as rolling each of the other five numbers. a. (2.5 pt.) What is the probability of each outcome of the red die
Answer:
P(1) = 0.2857
P(2) = 0.1428
P(3) = 0.1428
P(4) = 0.1428
P(5) = 0.1428
P(6) = 0.1428
Step-by-step explanation:
From the question, we know that Rolling a 1 with the red die is twice as likely as rolling each of the other five numbers, so we can write the following equation:
P(1) = 2X
Where X is the probability of rolling each of the other five numbers or:
P(2) = P(3) = P(4) = P(5) = P(6) = X
Additionally, the sum of all the probabilities is 1, so:
P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1
Now, we can replace P(1) by 2X and P(2), P(3), P(4), P(5) and P(6) by X, as:
P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 1
2X + X + X + X + X + X = 1
Finally, solving for X, we get:
7X = 1
X = 1/7
X = 0.1428
So, the probability of rolling a 1 is equal to:
P(1) = 2X = 2*(0.1428) = 0.2857
And the probability of rolling each of the other five numbers is:
P(2) = P(3) = P(4) = P(5) = P(6) = X
P(2) = P(3) = P(4) = P(5) = P(6) = 0.1428
solve for m m+7=3+m+4 iready
Answer:
m = all real numbers
Step-by-step explanation:
m + 7 = 3 + m + 4m - m = 3 + 4 -70 = 0Using this equation, you end up with 0 = 0. This means that m is all real numbers.
Finding the Areas of a Rectangular Pyramid's Faces
10 in.
10.4 in.
What are the areas of the faces of the rectangular
pyramid? Select all that apply
12 in 2
24 in 2
30 in.
20.8 in2
60 in.2
61.2 in 2
4 in.
6 in.
Answer: 24 in.2
30 in.2
20.8 in.2
Step-by-step explanation:
One True Love? A survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person." has been conducted. The result is that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know." (a) Find a 99% confidence interval for the proportion of people who disagree with the statement. Round your answers to three decimal places. The 99% confidence interval is
Answer:
99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].
Step-by-step explanation:
We are given that a survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person." has been conducted. The result is that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know."
Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;
P.Q. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of people who disagree with the statement = [tex]\frac{1812}{2625}[/tex] = 0.69
n = sample of respondents = 2625
p = population proportion of people who disagree with statement
Here for constructing 99% confidence interval we have used One-sample z proportion statistics.
So, 99% confidence interval for the population proportion, p is ;
P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level
of significance are -2.58 & 2.58}
P(-2.58 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 2.58) = 0.99
P( [tex]-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.99
P( [tex]\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.99
99% confidence interval for p = [ [tex]\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ]
= [ [tex]0.69-2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }[/tex] , [tex]0.69+2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }[/tex] ]
= [0.667 , 0.713]
Therefore, 99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].
Need help on this question.
what is the value of x?
Answer:
see below
Step-by-step explanation:
x and 80 are adjacent, supplementary angles
Supplementary angles add to 180
x+80 =180 degrees
Subtract 80 from each side
x+80-80=180-80
x=100
Let σ be portion of the paraboloid z = x 2 + y 2 − 9 lying on and below the xy-plane. Let σ have downward orientation. Let C be its boundary curve, oriented positively with respect to σ. Let F = x − y, x 2 z, y . (a) Evaluate R C F • T ds as a line integral. (b) Use Stokes’ theorem to evaluate R C F • T ds by evaluating an appropriate surface integral.
Answer:
See explaination
Step-by-step explanation:
Stoke theorem proposes that the surface integral of the curl of a function over any surface bounded by a closed path is equal to the line integral of a particular vector function round that path.
The Stoke Theorem can be used if you see a two dimensional region bounded by a closed curve, or if you see a single integral ie a line integral.
See attached file for further solution.
265+353=410
124+312=721
410+204=1676
132+230=1021
211+101=?????
Answer:
THIS IS A RIDDLE
Step-by-step explanation:
GO TO THE RIDDLE SECTION
Find the measure of the supplement of the angle.Find the supplement of 7°.
Answer:
173
Step-by-step explanation:
Same thing as last time, just instead of 90, it's 180.
Calculate the perimeter of this shape.
12 cm
18 cm
Answer:
[tex] 12 +18 + x+y + z +w[/tex]
In this special case we know that [tex] x+y =12[/tex] and [tex] z+w =18[/tex] and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter
Step-by-step explanation:
For this case we know that the perimeter is given by:
[tex] 12 +18 + x+y + z +w[/tex]
In this special case we know that [tex] x+y =12[/tex] and [tex] z+w =18[/tex] and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter
2 Points
A baseball league finds that the speeds of pitches are normally distributed,
with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is
thrown at a speed of 86.2 mph. What is the z-score of this pitch? Round your
answer to two decimal places.
A. -1.17
O O
C. -1.27
O
O D. 1.17
Answer: -1.17
Step-by-step explanation:
I guessed and got it right
Final answer:
The z-score of a baseball pitch thrown at 86.2 mph is -1.17, calculated using the z-score formula with a mean pitch speed of 89 mph and a standard deviation of 2.4 mph. Thus, option A is correct.
Explanation:
The question asks for the z-score of a baseball pitch thrown at a speed of 86.2 mph, given that the mean speed of pitches is 89 mph with a standard deviation of 2.4 mph. To find the z-score, we use the formula:
Z = (X - μ) / σ
Where Z is the z-score, X is the value in question (86.2 mph), μ is the mean (89 mph), and σ is the standard deviation (2.4 mph).
Plugging in the values, we get:
Z = (86.2 - 89) / 2.4
Z = -2.8 / 2.4
Z = -1.17
Thus, the z-score of the pitch thrown at 86.2 mph is -1.17, rounded to two decimal places.
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict the outcome in advance. He gets 17 out of 20 correct. What is the probability that he would have done at least this well if he had no ESP? Hint: If he has no ESP, then he's just randomly guessing, right? If he is randomly guessing, what should you use as p, the chance of success for each individual trial? Probability of doing at least this well =
Answer:
[tex]P(x\geq 17)=0.00128[/tex]
Step-by-step explanation:
The probability that the man gets x out of 20 correct follows a Binomial distribution, so the probability is calculated as:
[tex]P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}[/tex]
Where n is the number of identical experiments and p is the probability of success. In this case n is 20.
Additionally, if he has no ESP the probability that he predict correctly is 0.5, because he is only guessing.
Then, the probability that he gets x out of 20 correct is equal to:
[tex]P(x)=\frac{20!}{x!(20-x)!}*0.5^{x}*(1-0.5)^{20-x}[/tex]
Therefore the probability that he would have done at least 17 out of 20 well if he had no ESP is:
[tex]P(x\geq 17)=P(17)+P(18)+P(19)+P(20)\\[/tex]
Where:
[tex]P(17)=\frac{20!}{17!(20-17)!}*0.5^{17}*(1-0.5)^{20-17}=0.00108719\\P(18)=\frac{20!}{18!(20-18)!}*0.5^{18}*(1-0.5)^{20-18}=0.00018119\\P(19)=\frac{20!}{19!(20-19)!}*0.5^{19}*(1-0.5)^{20-19}=0.00001907\\P(20)=\frac{20!}{20!(20-20)!}*0.5^{20}*(1-0.5)^{20-20}=0.00000095[/tex]
So, [tex]P(x\geq 17)[/tex] is equal to:
[tex]P(x\geq 17)=0.00108719+0.00018119+0.00001907+0.00000095\\P(x\geq 17)=0.00128[/tex]
The probability that he would have done at least 17 out of 20 if he had no ESP is 0.00128 and this can be determined by using the binomial distribution formula.
Given :
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict the outcome in advance. He gets 17 out of 20 correct.
The formula of the binomial distribution is given by:
[tex]\rm P(x)=\dfrac{n!}{x!(n-x)!}\times p^x \times (1-p)^{n-x}[/tex]
Now, put all the known terms in the above formula.
[tex]\rm P(x)=\dfrac{20!}{x!(20-x)!}\times 0.5^x \times (1-05)^{20-x}[/tex]
Now, the probability that he would have done at least 17 out of 20 if he had no ESP:
[tex]\rm P(x\geq 17) = P(17)+P(18)+P(19)+P(20)[/tex]
where:
[tex]\rm P(17)=\dfrac{20!}{(20-17!)}\times 0.5^{17}\times 0.5^{20-17}=0.00108719[/tex]
[tex]\rm P(18)=\dfrac{20!}{(20-18!)}\times 0.5^{18}\times 0.5^{20-18}=0.00018119[/tex]
[tex]\rm P(19)=\dfrac{20!}{(20-19!)}\times 0.5^{19}\times 0.5^{20-19}=0.00001907[/tex]
[tex]\rm P(20)=\dfrac{20!}{(20-20!)}\times 0.5^{20}\times 0.5^{20-20}=0.00000095[/tex]
So, the value of P(x [tex]\geq[/tex] 17) is:
[tex]\rm P(x\geq 17)= 0.00108719+0.00018119+0.00001907+0.00000095[/tex]
[tex]\rm P(x\geq 17)= 0.00128[/tex]
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PLEASE HELP!! Find the sixth term of the sequence 14,9,4,..
Answer:
39
Step-by-step explanation:
We notice this is an arithmetic sequence.
14, 9, 4.
common difference = d = 14 - 9 = 5
first term a_1 = 14
Find 6th term a_6
a_n = (n -1)*d + a_1
a_6 = (6 -1)*5 + 14
a_6 = 5*5 + 14 = 25 + 14 = 39
Use this context for the next 4 questions (Questions 1 - 4): Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans to weigh a rock 20 times and then calculate the average of the 20 measurements to estimate her rock's true weight. A second student plans to weigh a rock 5 times and calculate the average of the 5 measurements to estimate his rock's true weight. Which student is more likely to come the closest to the true weight of the rock he or she is weighing? (i) The student who weighed the rock 20 times. (ii) The student who weighed the rock 5 times. (iii) Both averages would be equally close to the true weight.
Answer:
The right answer is:
(i) The student who weighed the rock 20 times.
Step-by-step explanation:
Both students are taking a sample from the population. In this case, the population is all the possible weight that can be measured by the scale they are using.
Independently of the sample size, the sampling distribution mean will be centered in the population mean, so they are estimating the true weight of the rock unbiased.
But the spread of the sampling distribution, measaured by the standard deviation, depends on the sample size.
The bigger the sample, the narrower the sampling distribution is expected o be. So it is more likely to be closer to the true mean with a bigger sample.
The right answer is:
(i) The student who weighed the rock 20 times.
Jennifer starts with a population of 100 amoebas that doubles in size every minute for a number of minutes, m. She writes the expression 100(2m) to find the number of amoeba after m minutes. Nathan starts with a population of 10 amoebas that increases 40% in size every minute for a number of minutes, m. He writes the expression (1+0.4)m to find the number of amoeba after m minutes. Use the drop-down menus to explain what each part of Jennifer's and Nathan's expressions mean.
Answer:
100(2m)
(1+0.4)
Nathan=0.4 is the percent added =the 40 percent added to the 10 amoebas
Jennifer=the first equation is how many total amoebas Jennifer has in total
Hope this helps!Answer:
Hope this helps!
Step-by-step explanation:
Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles Questions 17-24
Graph the Plane Curve defined by:
x=3cos(t)−t+5, y=sin(t), for t in [0,3π]
Step-by-step explanation:
PLEASEE HELPPP MEEEE
solve for x
ANSWER CHOICES
a= 7
b= 6
c= 2
d= 4
Answer:
x = 2
Step-by-step explanation:
the 2 given angles are vertical angles, meaning they are equal.
38x-1 = 75
solve the above equation, and x = 2
Answer:
2
Step-by-step explanation:
Those two angles are equal:
75 = 38x - 1
so, add 1 to both
76 = 38x
divide by 38
2 = x
Which is a perfect square? 6 Superscript 1 6 squared 6 cubed 6 Superscript 5
Answer:
it is b
Step-by-step explanation:6 square
Answer:
b
Step-by-step explanation:
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Answer:
Length of x ~ 10.5; Option B
Step-by-step explanation:
1. There are three radii present in this problem. Of that the diamter is supposedly 42.2 units. Given that the radii should be ⇒ 42.2 / 2 ⇒ 21.2 units
2. With that being said the 3rd radii contains parts x and 10.6. By radii congruency, the length of all radii should be the same, so this 3rd radii should = 21.2 units as well. If so, by the Partition Postulate 21.2 = x + 10.6
3. Through algebra let us solve for x:
21.2 = x + 10.6,
x = 21.2 - 10.6,
Answer ~ Length of x: 10.5
The range of Fx) = 7*4^x is all positive real numbers.
A. True
B. False
Answer:
The answer is A. True
Step-by-step explanation:
The range of Fx) = 7*4^x is all positive real numbers.
hope this helps : )
I need help with #12 please!
Answer:
125/512 in³125 smaller cubesStep-by-step explanation:
The volume of a cube is the cube of the edge dimension. Here, that dimension is 5/8 in, so the volume is ...
V = s³ = (5/8 in)³ = 125/512 in³ . . . volume of the cube
The volume of a cube 1/8 inch on a side is ...
V = (1/8 in)³ = 1/512 in³
Clearly, a volume that is 125/512 in³ will require 125 of the cubes of size 1/512 in³ to fill it.
125 of the smaller cubes will fit inside.
_____
Alternate solution
You can also determine the number of smaller cubes by considering it takes 5 of them in each direction to make 5/8 inch. Then the volume is 5³ = 125 of the smaller cubes.
The Rivera family is taking a cruise that costs $3,082.24 for a family of four. How much does it cost per person?
2.
2x2 + 2x - 112 factor
Answer:
Use order of operation
Step-by-step explanation:
Answer:
2(x+8)(x-7)
Step-by-step explanation:
If the question is asking 2x^2+2x-112, then the answer is 2(x+8)(x-7).
First, you factor out the two: 2(x^2+x-56)
Next, you find something that adds to x and multiplies to -56: 8 and -7
After, you get 2(x+8)(x-7)
Math
If A+B+C=pi then prove that cos3A.cos3B+cos3B.cos3C+cos3C.cos3A=1
Step-by-step explanation:
Given:
A+B+C= π
<=> 3A+3B+3C = 3π
<=> cos(3A+3B) = - cos3C
<=> cos3A.cos3B-sin3A.sin3B = - cos3C
<=> cos3A.cos3B = sin3A.sin3B - cos3C (1)
similarly apply for the other two angles, we have:
cos3B.cos3C = sin3B.sin3C - cos3A (2) cos3C.cos3A = sin3C.sin3A - cos3B (3)Grouping three equations, (1) + (2) + (3), we have:
<=> cos3A.cos3B+cos3B.cos3C+cos3C.cos3A = sin3A.sin3B + sin3B.sin3C + sin3C.sin3A - ( cos3A + cos3B + cos3C )
= 1
Hope it can find you well.
Using the sum of angles in a triangle and cosine identities, we proved that cos(3A)cos(3B) + cos(3B)cos(3C) + cos(3C)cos(3A) equals 1.
Given that A + B + C = π, we will use trigonometric identities and properties to prove the required equation.
Recall that A + B + C = π implies that A, B, and C are angles of a triangle.We can use the trigonometric identity for the cosine of a sum of angles. Specifically, for any angle θ, cos(π - θ) = -cos(θ).Consider the expression for the sum of angles, we have cos(3(A+B+C)) = cos(3π). Since cos(3π) = -1, this simplifies to cos(3A + 3B + 3C) = -1.Using the triple angle formula for cosine, we know that cos(3x) = 4cos³(x) - 3cos(x). Applying this to each term, we have:cos(3A) = 4cos³(A) - 3cos(A)cos(3B) = 4cos³(B) - 3cos(B)cos(3C) = 4cos³(C) - 3cos(C)By symmetry and considering the angles sum up to π, we simplify the expression cos(3A)cos(3B) + cos(3B)cos(3C) + cos(3C)cos(3A) using cos(π - θ) = -cos(θ).Finally, given the periodic and symmetrical nature of the cosine function in this specific triangular setup, it can be shown algebraically or verified computationally (or by specific known identities for triangle angles) that the overall summation leads to the result of 1.Hence, we have proven that cos(3A)cos(3B) + cos(3B)cos(3C) + cos(3C)cos(3A) = 1 for angles A, B, and C summing up to \pi.
I NEED HELP WITH MATH !!!
0.25 + 1 + 4 + 16 + 64 Select the explicit formula for the sequence.
Answer:
Formula could be :: (N)4 with n being the number
Step-by-step explanation:
Answer:
It's B) 0.25 * 4^n-1 and third one is B
Step-by-step explanation:
Evaluate the following integral in spherical coordinates. ModifyingBelow Integral from nothing to nothing Integral from nothing to nothing Integral from nothing to nothing With Upper D (x squared plus y squared plus z squared )Superscript 3 divided by 2 Baseline font size decreased by 4 dV; D is the unit ball centered at the origin Set up the triple integral using spherical coordinates that should be used to evaluate the given integral as efficiently as possible. Use increasing limits of integration.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below for the full explanation to the above question.
The final expression for the triple integral in spherical coordinates is:
[tex]\int\limits^{2\pi}_0\int\limits^{\pi /2}_0 \int\limits^1_0[/tex]ρ⁴ sin(φ) dρ dφ dθ
To evaluate the given integral efficiently in spherical coordinates, we'll set up the triple integral over the unit ball centered at the origin. The integral represents the volume element for a sphere, which we can express in spherical coordinates as follows:
∭D (x² + y² + z²)^(3/2) dV
In spherical coordinates, the volume element dV is given by:
dV = ρ² sin(φ) dρ dφ dθ
Here, ρ represents the radial distance from the origin, φ represents the polar angle (measured from the positive z-axis), and θ represents the azimuthal angle (measured from the positive x-axis in the xy-plane).
The limits of integration for the triple integral in spherical coordinates can be set as follows:
ρ: 0 to 1 (since D is the unit ball, ρ ranges from 0 to the radius of the sphere, which is 1)
φ: 0 to π/2 (since we only need to consider the upper half of the sphere)
θ: 0 to 2π (covering a full revolution around the z-axis)
Now, we can express the integral using these limits and the volume element:
∭D (x² + y² + z²)[tex]^{(3/2)[/tex] dV
= ∫[0 to 2π] ∫[0 to π/2] ∫[0 to 1] (ρ²)[tex]^{(3/2)[/tex] (ρ² sin(φ)) dρ dφ dθ
Simplifying the integrand:
(ρ²)[tex]^{(3/2)[/tex] (ρ² sin(φ)) = ρ³ ρ sin(φ) = ρ⁴ sin(φ)
Therefore, the final expression for the triple integral in spherical coordinates is:
[tex]\int\limits^{2\pi}_0\int\limits^{\pi /2}_0 \int\limits^1_0[/tex]ρ⁴ sin(φ) dρ dφ dθ
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Which answer is the largest? * 10 points -16 • 8 = -16 ÷ 8 = -16 + 8 = -16 - 8 =
Answer:
The largest value is -2 from -16/ 8
The largest absolute value is -108 from -16*8
Step-by-step explanation:
Are you asking for the greatest value?
The largest number?
-16 * 8 = - 108
-16 / 8 = -2
-16 + 8 = -8
-16 - 8 = -24
The largest value is -2 from -16/ 8
The largest absolute value is -108 from -16*8
Giving brainliest for CORRECT awnser.
Answer:
It's D.
Step-by-step explanation:
Answer:
3(x - 2)(x - 5)
Step-by-step explanation:
Factor 3 from all terms within the trinomial:
(3x² - 21x + 30)/3 = x² - 7x + 10
3(x² - 7x + 10)
Simplify.
(x² - 7x + 10)
x -5
x -2
3(x - 2)(x - 5)* is your answer.
* remember to bring the 3 that you factored out in the beginning and stick it to the front.
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