x is a normally distributed random variable with a mean of 8 and a variance of 16. The probability that x is between 1.48 and 15.56 is Select one: 0 0.5222 o 0.9190 оооо 00.0222 0 0.4190
Answers
The probability that x is between 1.48 and 15.56 is 0.9190.
To calculate the probability that a normally distributed random variable x falls within a specific range, we can use the standard normal distribution and standardize the values. In this case, we have a normally distributed random variable x with a mean (μ) of 8 and a variance (σ^2) of 16.
To find the probability of x between 1.48 and 15.56, we first need to standardize these values. Standardizing a value involves subtracting the mean and dividing by the standard deviation. The standard deviation (σ) is the square root of the variance.
The standard deviation in this case is √16, which is 4. Therefore, to standardize 1.48, we subtract the mean (8) and divide by the standard deviation (4), resulting in a standardized value of -1.38. Similarly, standardizing 15.56 gives us a standardized value of 1.39.
Now that we have standardized values, we can look up the probabilities associated with these values using the standard normal distribution table or a statistical calculator. The probability that a standard normal random variable falls between -1.38 and 1.39 is approximately 0.9190.
In conclusion, the probability that x, a normally distributed random variable with a mean of 8 and a variance of 16, falls between 1.48 and 15.56 is 0.9190.
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Related Questions
270 π /3
Convert each degree measure into radians or radians to degrees
Answers
270 * $\pi/180$ = 270 * $\pi/180$ = $3\pi$
Therefore, 270 degrees is equivalent to $3\pi$ radians.
Conversely, to convert a radian measure into degrees, we need to multiply the radian measure by 180/$\pi$. In the case of $\pi/3$ radians, we have:
$\pi/3$ * 180/$\pi$ = $\pi/3$ * 180/$\pi$ = 60 degrees
Therefore, $\pi/3$ radians is equivalent to 60 degrees.
Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades. De los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos. De los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos. Proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta. ¿Quién ganará?
Answers
Answer:
Carlos.
Step-by-step explanation:
Dado que Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades, y de los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos, mientras que de los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos, si ambos proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta, para determinar quién ganará se deben realizar los siguientes cálculos:
Simón: 527 SEGUNDOS
A: 31 + 62 + 93 + 124 + 155 + 186 + 217 + 248 + 279 + 310 + 341 + 372 + 403 + 434 + 465 + 496 + 527
B: 17 + 34 + 51 + 68 + 85 + 102 + 119 + 136 + 153 + 170 + 187 + 204 + 221 + 238 + 255 + 272 + 289 + 306 + 323 + 340 + 357 + 374 + 391 + 408 + 425 + 442 + 459 + 476 + 493 + 510 + 527
Carlos: 252 SEGUNDOS
A: 36 + 72 + 108 + 144 + 180 + 216 + 252
B: 42 + 84 + 126 + 168 + 210 + 252
Por lo tanto, el ganador será Carlos.
Which is an example of a direct variation variation?
Answers
A Direct variation example would be y=7x y=9x.
The relationship is referred to as having direct variation when one variable changes and the second variable changes correspondingly while the ratio of the second variable to the first variable remains constant.
In essence, direct variation describes a simple relationship between two variables by definition.
It is common to refer to the constant of proportionality or variance as the format of any direct variation, y=kx, for some constant k.
To depict a direct variation between variables y=7x,9x x and y, k=7,9, where x and y are the variables and where 7 &9 it is constant.
If the value of x rises, we can expect the value of y to rise as well.
The direct variation is as a result y= 7x,9x
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Marie heated water in a beaker. When she began, the water had a temperature of 40 degrees, and she heated it at a rate of 2.5 degrees per minute. Kathy heated water in a different beaker. When she began, the water had a temperature of 50 degrees, and she heated it at a rate of 1.5 degrees per minute. Which equation could be used to determine how many minutes passed before the water temperature in both beakers was the same?
Answers
Answer:
2.5x + 40 = 1.5x + 50
Step-by-step explanation:
To find how many minutes passed before the water temperature in both beakers are the same, you need to set both of the expressions that show how hot the water in each beaker is to be equal to each other
Make
x
the subject of the formula
x
−
3
=
q
Answers
Answer:
x = q + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
x - 3 = q
Step 2: Solve for x
Add 3 to both sides: x = q + 3can someone answer what the value of x is
Answers
9514 1404 393
Answer:
x = 9
Step-by-step explanation:
The midline is half the length of the base, so we have ...
2×DE = AB
2(4x +1) = 11x -25
8x +2 = 11x -25 . . . . eliminate parentheses
27 = 3x . . . . . . . . . . .add 25 -8x
9 = x . . . . . . . . . . . . . divide by 3
The value of x is 9.
__
Check
DE = 4x +1 = 4(9) +1 = 37
AB = 11x -25 = 11(9) -25 = 74 . . . twice 37 as it should be
PLS HELPP!!!!! Which expression is equivalent to (2^7⋅3^−5 ⋅9)^4?
2^7⋅3^−5⋅9^4
2^11⋅3^−1⋅9^5
2^28⋅3^−20⋅9^4
2^28⋅(−3)^20⋅9^4
Answers
Answer:
2^7⋅3^−5⋅9^4
Step-by-step explanation:
sara scored 8 goals this season. This is two less than a third of the goals she scored last season.
Answers
Answer:
30 goals last season
Step-by-step explanation:
Goals this season = 8
Goals this season = 1/3 of goals last season - 2
Let Goals scored last season = x
Therefore,
8 = 1/3x - 2
8 = x/3 - 2
8 + 2 = x / 3
10 = x / 3
x = 10 * 3
x = 30
Sara scored 30 goals last season
Simplify the expression below, where u, v, and w denote suitable positive real numbers. uv uw VW Log + log + log- log(uvw) W 17 u Major Topic Blooms Score Designation EV LOGARITHM 6 b) The decibel gain n of an amplifier is given by: P2 n = 10 log10 (₁) where P1 is the power input and P2 is the power output. Find the power gain P2 when n= 25 decibels. Major Topic Score Blooms Designation LIMITS AN 7 b) Using the method of first principle find the derivative of the function f(x)= -
Answers
1) After simplification: loguv + logvw + loguw -2logv - 2logu - 2logw
Given expression:
log(uv/w) + log(uw/v) + log(vw/u)- log(uvw)
Now simplify using log properties,
log(a/b) = loga - logb
log(ab) = loga + logb
Therefore,
=loguv - logw + loguw -logv + logvw - logu - logu -logv -logw
=loguv + logvw + loguw -2logv - 2logu - 2logw
Hence the simplified form is,
loguv + logvw + loguw -2logv - 2logu - 2logw
2)
Power gain \(P_{2}/ P_{1}\) = 316.22
Given,
n = 10 log(\(P_{2}/ P_{1}\))
n= 25
Now,
25/10 = \(log_{10} \frac{P_{2} }{P_{1} }\)
10^2.5 = \(P_{2}/ P_{1}\)
\(P_{2}/ P_{1}\) = 316.22 .
Hence the power gain in 316.22 .
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:( help pls I need a good grade
Answers
Answer:
it's really easy! just divide 1 by 2 on a calculator!
Haley made 88% on a history test. The
test had 50 questions of equal point value.
How many questions did Haley miss?
Answers
Answer:
She missed 6 questions.
Step-by-step explanation:
88% can be written as (88/100) or as 0.88.
You can set this as a ratio problem which is,
88/100 = correct/50
correct = (88/100)*50 (multiply both sides by 50)
correct = 44
So, 50 (total questions) - 44 = 6 incorrect questions
Convert 50 grains to milligrams (to the nearest tenth).
mg
Answers
Answer:
3240milligramsStep-by-step explanation:
multiply the value in grains by the conversion factor '64.798'.
So, 50 grains = 50 × 64.798 = 3239.900 milligrams.
round 3240
Solve this system of equations using the ELIMINATION method.
3x - 2y = 1
2x + 2y = 4
Answers
hope this helps please like and mark as brainliest
Answer:
x = 1
y = 1
Step-by-step explanation:
3x - 2y = 1
2x + 2y = 4
3x - 2y + 2x + 2y = 1 + 4
3x + 2x = 5
5x = 5
5x ÷ 5 = 5 ÷ 5
x = 1
2x + 2y = 4
2(1) + 2y = 4
2 + 2y = 4
2 - 2 + 2y = 4 - 2
2y = 2
2y ÷ 2 = 2 ÷ 2
y = 1
Check:
3x - 2y = 1
3(1) - 2(1) = 1
3 - 2 = 1
x and y being 1 works for the first equation.
2x + 2y = 4
2(1) + 2(1) = 4
2 + 2 = 4
x and y being one works for both equations.
Consider the equation, y = + 1x1 + 2x2 + u. A null hypothesis, H0: 2 = 0 states that:
x2 has no effect on the expected value of 2.
x2 has no effect on the expected value of y.
2 has no effect on the expected value of y.
y has no effect on the expected value of x2.
Answers
The null hypothesis, H0: 2 = 0, states that the coefficient 2 has no effect on the expected value of y. This means that the expected value of y does not change when x2 is changed.
Mathematically, this can be expressed as:
E[y|x2] = E[y]
Where E[y|x2] is the expected value of y when x2 is given, and E[y] is the expected value of y when x2 is not given.
The equation for y can be rewritten as:
y = 1x1 + 0x2 + u
Where 0 is the coefficient of 2 when the null hypothesis is true. This equation can be further simplified to:
y = 1x1 + u
The equation now shows that x2 has no effect on the expected value of y. This is because the coefficient of x2 is 0, meaning that no matter what value x2 is given, it will not affect the expected value of y. Therefore, the null hypothesis, H0: 2 = 0 states that x2 has no effect on the expected value of y.
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Anyone else have a bully and your bully makes fun of you because your adopted?
I do but I tell them "Well, my parents chose me. Your parents are stuck with you"
What should I do? Should I continue roasting them or should I just go with the fact that I'm adopted?
Answers
Answer:
TBH IF YOU WANT TO ROAST I GOT NO IDEA BUT THIS IS THE THING I DO
Step-by-step explanation:
Well to be honest I think you should just treat him the same say the same things you would normallily say when you didnt know he waS
Answer:
Go back to roasting them be the cool one
Step-by-step explanation:
How many pennies are on the nth square? 2n 2n â€"" 1 2n 1 2n â€"" 1 2n 1.
Answers
The number of pennies is an illustration of pattern and sequence.
The number of pennies in the nth square is \(2^{n-1\)
From the complete question, we have the following parameters
\(f(1) =1\)
\(f(2) =2\)
\(f(3) =4\)
\(f(4) =8\)
Rewrite the functions as follows:
\(f(1) = 2^0\)
\(f(2) = 2^1\)
\(f(3) = 2^2\)
\(f(4) = 2^3\)
Express 3 as 4 - 1
\(f(4) = 2^{4-1\)
Replace 4 with n
\(f(n) = 2^{n-1\)
Hence, the number of pennies in the nth square is \(2^{n-1\)
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HELP 5TH GRADE MATH EASY
Answers
Answer:
the area is 24 (8 x 3)
and the perimeter is 22 (8 + 8 + 3 + 3)
Step-by-step explanation:
Answer:
Area: 24
Perimeter: 22
Step-by-step explanation:
To solve the area, the equation is l*w, or in this case 3*8, which is 24.
To solve the perimeter, the equation is 2l + 2w, or in this case (3*2)+(8*2).
if 5 oz of a solution contains 4 1/2 oz of water, how many ounces of water are in 20 oz of solution?
Answers
5 oz of a solution contains 4 1/2 oz of water. 20 oz of solution contains 18 oz of water.
We can set up a proportion to solve this problem:
5 oz of solution contains 4 1/2 oz of water, which means that 5 - 4 1/2 = 1/2 oz of the solution is not water.
So the ratio of water to solution is:
4 1/2 oz / 5 oz = x oz / 20 oz
where x is the number of ounces of water in 20 oz of solution.
Cross-multiplying, we get:
5 * x = 4 1/2 * 20
x = (4 1/2 * 20) / 5
x = 18 oz
Therefore, 20 oz of solution contains 18 oz of water.
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James left a bin outside in his garden to collect rainwater. He notices that 1/4 gallons of water fills 2/3 of the bin. Write and solve an expression to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
(100 POINTS!!!!)
Answers
Answer:
3/8 gallons
Step-by-step explanation:
Let T be the total amount of water which can fill the bin.
The equation formed will be :
2/3 × T = 1/4 gallonsNow, multiply each side by 3 :
3 × 2/3 × T = 1/4 × 32T = 3/4Divide each side by 2 :
2T/2 = 3/4 x 1/2T = 3/8 gallonsLet the total gallons be x
1/4=2/3xMultiply 3 to complete whole bin
3/4=2/3(3)x3/4=2xx=3/8gallonshow many times can 82 go into 401
Answers
Answer:
4.89 times
Step-by-step explanation:
I hope this helps :)
Answer:
82 can go into 401 four times.
Step-by-step explanation:
82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.
A water cooler has 4.2 gallons of water in it. Simon spills 0.25 of a gallon of the water. He uses the expression below to find how many gallons of water are remaining in the water cooler. 4.2 - 0.25 How many gallons of water are remaining in the water cooler? O 1.7 gallons O 3.05 gallons O 3.95 gallons O 4.05 gallons
Answers
Answer:
c.3.95 gallons hopes this helps
A crew of highway workers paved 2/15 mile in 20
minutes. If they work at the same rate, what portion of
a mile will they pave
in an hour?
Answers
Answer:
So they would pave 3×215=3 ×23 ×5=25 mile/hr.
Step-by-step explanation:
Look at this square. Find the value of
S.
S
Perimeter = 16 miles
S =
miles
Answers
The value of S, which represents the length of each side of the square, is 4 miles.
To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.
Perimeter = 4 × S
Given that the perimeter is 16 miles, we can substitute this value into the equation:
16 = 4 × S
To solve for S, we divide both sides of the equation by 4:
16 ÷ 4 = S
4 = S
Therefore, S, which stands for the square's side lengths, has a value of 4 miles.
So, S = 4 miles.
This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.
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mr thapa travelled 5km by a taxi the minimum fare of rs 14 apperared immediately after the meter was flagged down, then the fare went on rs 7.20 per 200m. calculate the total fair paid by her
Answers
=> 1/5 km
and fair of 1/5 km is 7.2 rupees
for 1 km 7.2×5 = 36 rupees
for 10 km 36×10 = 360 rupees
The total price paid by Mr. Thapa as per the new rating will be equal to Rs 180.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total distance traveled by Mr. Thapa = 5 km = 5000 meters.
The initial price paid for the taxi = Rs 14
Then, the meter was flagged down, then the fare went to rs 7.20 per 200 m.
Let the price paid after 5 km is x.
So, the ratio will be,
200 m = Rs 7.20
5000 m = x
Perform cross-multiplication,
200x = 5000 × 7.20
200x = 36000
x = 36000/200
x = Rs 180
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you score 562 on the mathmatics portion of the sat test. if the math scores on the sat are normlly distributed with a mean of 518 and a standar deviation of 114. find your z score
Answers
your z-score is approximately 0.385.
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
To find your z-score, we can use the formula:
z = (x - μ) / σ
where:
- x is your individual score (562),
- μ is the mean of the distribution (518), and
- σ is the standard deviation of the distribution (114).
Plugging in the values:
z = (562 - 518) / 114
Calculating:
z = 44 / 114
Simplifying:
z ≈ 0.385
Therefore, your z-score is approximately 0.385.
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A rectangle is 25 inches long and 13 inches wide.
What is the area of the rectangle?
Enter your answer as a fraction in simplest form by filling in the boxes
PLEASE HELP FAST!!!
Answers
Answer:
325 squares inches
13/40 im pretty sure
Step-by-step explanation:
Answer:
13/40
Step-by-step explanation:
What is 1/7 + 2/7 =
Answers
Answer:
1/7+2/7=1+2/7=3/7Step-by-step explanation:
Please mark my answer as a brainliest.Please follow me ❤❤❤The sum of three consecutive intergers is 189 what are the integers
Answers
Answer:
62, 63, 64
Step-by-step explanation:
The middle integer of three consecutive integers will be the average of them. That is, it will be their sum, divided by 3.
__
The middle integer is 189/3 = 63.
The three consecutive integers are 62, 63, 64.
_____
Additional comment
If you'd like to write an equation that tells you the same thing, let x represent the middle integer. Then the lower one is x-1, and the upper one is x+1. Their sum is ...
(x-1) +x +(x+1) = 189
3x = 189 . . . . . . . . . . . . simplify
x = 189/3 = 63 . . . . . . . divide by the coefficient of x
(x-1) = 63-1 = 62 . . . . . . find the other two integers
(x+1) = 63+1 = 64
/ Description
// number is a positive integer with n digits, where numberi refers to the ith digit of number
// n is the number of digits of c
// base is a positive integer
function conversion(number,base,n)
value = 0;
unit = 1;
for i = 0 to n
value = value + numberi * unit;
unit = unit * base;
end
return value;
Respond to the following:
1. What does the conversion function do? Please provide a detailed response.
2. In terms of n, how many computational steps are performed by the conversion function? Note: One computational step is considered one operation: one assignment, one comparison, et cetera. For example, the execution of a = c + d may be considered two computational steps: one addition and one assignment.
3. What is the Big-O time complexity of the conversion function in terms of n? Justify your response.
Answers
1. The conversion function converts a positive integer from a given base to its decimal value.
2. The conversion function performs "n + 1" computational steps.
3. The Big-O time complexity of the conversion function is O(n).
1. The conversion function takes a positive integer "number" with "n" digits and a positive integer "base" as inputs.
It converts the number from its given base to its corresponding decimal value.
It iterates through each digit of the number from right to left, starting with the least significant digit.
It calculates the decimal value by multiplying each digit by the corresponding power of the base and summing them up.
Finally, it returns the calculated decimal value.
2. The conversion function performs "n + 1" computational steps.
This includes the initialization of "value" and "unit" variables (2 steps), the loop initialization (1 step), the loop execution (n steps), and the loop termination (1 step).
Within the loop, there are assignments, multiplications, and additions performed for each digit, resulting in "n" steps.
3. The Big-O time complexity of the conversion function in terms of "n" is O(n).
The time complexity is determined by the number of iterations in the loop, which is directly proportional to the number of digits in the input number.
As the number of digits increases, the loop will iterate more times, resulting in a linear increase in computational steps.
Therefore, the function has a linear time complexity with respect to the number of digits.
This means that the time taken by the function to execute grows linearly with the input size, making it an efficient algorithm for converting numbers from one base to another.
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Find the cost of 200 grams of flour at $6 per kilogram
Answers
Answer:
$1.2
Step-by-step explanation:
Convert gram to kilogram
200÷1000=0.2kg
0.2 × 6 =1.2