Evaluate the following expression...
5n=35 what is n equal to?
If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the dividend is the:
In a certain town, 22% of voters favor a given ballot measure. for groups of 21 voters, find the variance for the number who favor the measure.
a. 1.9
b. 13
c. 4.6
d. 3.6
The variance for the number of voters who favor the ballot measure in groups of 21 is calculated using the formula for a binomial distribution, which yields an answer of 3.78. The closest option to this value is 3.6, answer option d.
Explanation:In the question about a town where 22% of voters favor a given ballot measure, we are asked to find the variance for the number of voters who favor the measure in groups of 21 voters. To calculate the variance, we use the formula for the variance of a binomial distribution, which is np(1-p), where 'n' is the number of trials (voters in this case), 'p' is the probability of a voter favoring the measure, and '1-p' is the probability of a voter not favoring the measure.
Using the information provided:
n = 21 (the number of voters in a group)p = 0.22 (the probability of a voter favoring the measure)Thus, the variance (Var) is:
Var = np(1-p) = 21 × 0.22 × (1 - 0.22) = 21 × 0.22 × 0.78 = 3.78
The closest answer to 3.78 is 3.6, which is option d.
Variance formula: [tex]\(npq\)[/tex]. Substitute [tex]\(n = 21\), \(p = 0.22\), \(q = 0.78\)[/tex]. Calculate to get variance. Answer: d. 3.6
To find the variance for the number who favor the measure in groups of 21 voters, we can use the binomial distribution formula.
The variance of a binomial distribution is given by [tex]\(npq\)[/tex], where:
- [tex]\(n\)[/tex] is the number of trials (number of voters in each group),
- [tex]\(p\)[/tex] is the probability of success (proportion of voters favoring the measure), and
- [tex]\(q\)[/tex] is the probability of failure (proportion of voters not favoring the measure).
Given:
- [tex]\(n = 21\)[/tex],
- [tex]\(p = 0.22\)[/tex] (22% favor the measure), and
- [tex]\(q = 1 - p = 1 - 0.22 = 0.78\)[/tex],
Let's calculate the variance:
[tex]\[ \text{Variance} = npq = 21 \times 0.22 \times 0.78 \][/tex]
[tex]\[ \text{Variance} = 21 \times 0.1716 \][/tex]
[tex]\[ \text{Variance} = 3.5976 \][/tex]
Rounded to one decimal place, the variance is approximately [tex]\(3.6\)[/tex].
So, the correct answer is d. 3.6.
Which one of the following statements about quadrilaterals is true?
A.) A quadrilateral with only one set of parallel sides is a square.
B.) A quadrilateral with a right angle is a rhombus.
C.) A quadrilateral with two pairs of parallel sides is a trapezoid.
D.) A parallelogram with a right angle is a rectangle.
Answer:its c
Step-by-step explanation:
I got the answer wrong and the right answer was c so there yall
Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational.
Answer:
9.6
Step-by-step explanation:
It is rational because it has terminating decimal expansiom
Zach is 3 years older than twice his sister Michelle's age. Let m represent Michelle's age. Write an expression in terms of m to represent Zach's age.
Of Bernie's insect collection, 15 out of 25 insects are butterflies. Which of the following is not another way of expressing 15 out of 25?
A 3/5
B 0.6
C 60%
D 5/3
Option D (5/3) is not another way of expressing 15 out of 25 because it is greater than one and not equivalent to the simplified fraction 3/5, decimal 0.6, or percentage 60% which are all representations of the original fraction.
The student's question asks which of the following expressions is not another way of expressing 15 out of 25 insects being butterflies. To find out, we need to simplify the fraction and convert it into different forms.
Let's begin by simplifying the fraction 15/25. We can divide both the numerator (15) and the denominator (25) by their greatest common divisor, which is 5:
15 ÷ 5 = 325 ÷ 5 = 5So the fraction reduces to 3/5. Now let's see if the other options given correspond to this fraction:
3/5: This is the simplified form of 15/25.0.6: If we divide 3 by 5, we get 0.6, which means this choice represents the same value.60%: Convert the fraction 3/5 to a percentage by multiplying by 100 (3/5 x 100 = 60%) so this choice also represents the same value.5/3: This fraction is more than one (1) and is not equivalent to 3/5 or 15/25.Therefore, Option D (5/3) is the correct answer because it is not another way of expressing 15 out of 25.
The sides of a square bedroom measure 3.5 yards. If carpet costs $16 per square yard, how much will it cost to cover the floor?
A. $56
B. $98
C. $196
D. $224
Answer:
ITS NOT A) $56
Step-by-step explanation:
I took the test! GOOD LUCK!
What proportion of a normal distribution is located between z = 0 and z = +1.50? 0.4332 0.8664 0.0668 0.9332?
Ray
OC
divides ∠AOB into two angles. Find the measurement of ∠AOC, if m∠AOB = 155°, and m∠AOC is by 15° greater than m∠COB.
We are given that:
m∠AOB = m∠AOC + m∠COB
We are also given that:
m∠AOC = m∠COB + 15
m∠AOB = 155
Therefore:
155 = m∠COB + 15 + m∠COB
2 m∠COB = 140
m∠COB = 70°
and,
m∠AOC = m∠COB + 15 = 85°
Answers:
m∠COB = 70°
m∠AOC = 85°
how to solve 324.65 x 0.2
Gary made 20 treat bags for his Halloween party. In every 3rd bag he put lollipops, in every 4th bag he put Hershey Kisses and in every 5th bag he put fake eyeballs. How many of the 20 bags have all three items in them? ( By the way this is an LCM problem. I need help asap plz.)
A concrete walk of uniform width is to be laid around a rectangular flower bed that is 60 feet long and 30 feet wide. If the area of the walk is to be 279 square feet, what is the width of the walk?
What is the value of n?
9×27+2×31-28= n
n=277
Hope this will help!
a triangle with a base of 12 millimeters and height of 11 millimeters
How many gallons of 20% antifreeze should be mixed with 10 gallons of 92% antifreeze to obtain a 65% antifreeze mixture?
a runner is training for a half marathon
.
The student's question refers to various aspects of marathon running, including physiological processes, muscle fiber types, the effect of footwear on performance, and scientific measurements of marathon results.
Explanation:The topic touches upon various aspects such as the physiological responses of marathon runners, the biomechanics of running, the influence of different shoe brands on run times, and scientific measurements of performance during a marathon.
For example, marathon runners demonstrate responsiveness and movement, two characteristics of living humans. Anatomic structures and physiological processes play a critical role in coordinating muscle action and managing internal body temperature through sweating. Additionally, the type of muscle fibers, such as slow-twitch fibers, can affect a runner's endurance, as seen in athletes with a high proportion of these fibers.
Another aspect to consider is the impact of footwear on run times. A marathon runner looking into the relationship between shoe brand and performance would examine the data collected from various runners to determine if there's any significant difference.
I really need help on this
what is the equation of the line in slope intercept form m=2/7 and the y intercept is (0,-12)
A y=2/7x +12
B y=2/7x -12
C y=13x-2/7
D y=12x +2/7
B is your answer! All you do for this equation is go oh look m=2/7 well this means y=2/7x and you have a -12 so than you just plug it in. To get y=2/7x-12
Solve the system by substitution . 2x+y=-11 3x-4y=11
(3,5)
(-5,-3)
(-3,-5)
(5,3)
will give BRAINEST
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?
Another tent has the perimeter of 7.2 metres. If the width is 1.3 metres, what is the length?
Answer: Length of tent would be 2.3 meters.
Step-by-step explanation:
Since we have given that
Perimeter of tent = 7.2 meters
Width of tent = 1.3 meters
Since we have given that
Perimeter = 2( length + width)
[tex]7.2=2(Length+1.3)\\\\\dfrac{7.2}{2}=Length+1.3\\\\3.6=Length+1.3\\\\3.6-1.3=Length\\\\2.3\ m=Length[/tex]
Hence, Length of tent would be 2.3 meters.
Write the equation in standard form of the circle with radius 5 and center 0,3
Evaluate the expression for the given values.
mx−y when m=1, x=5x=5, and y=2
Enter your answer in the box.
7x2+3[81-(4x6)]
Simplify
3) Linda started taking piano lessons. She had to practice 1 3/4 hours each day. If after only 8 days Linda decided she wanted to stop, how many hours did she take lessons?
Why is it helpful to write a number as a product of primes?
What is the answer to 4+(-1 2/3)
Let y be a random variable with p(y) given in the accompanying table. find e(y ), e(1/y ), e(y 2 − 1), and v(y ). y 1 2 3 4 p(y) .4 .3 .2 .1
This answer pertains to the computation of expected and variance values for a discrete random variable y using its given probability distribution function. Relevant principles include multiplying each value of y with its corresponding probability and then summing the products for the expected value, and further operations for other expected values and variance.
Explanation:The subject pertains to finding the expected and variance values of a discrete random variable y, based on its probability distribution function (PDF). In this case, we have four values for y (i.e., 1, 2, 3, and 4) with corresponding probabilities given as .4, .3, .2, and .1 respectively.
E(y) or the expected value of y is obtained by multiplying each value of y with its corresponding probability and then summing the products, according to the formula E(y) = Σ y*P(y).
e(1/y) is the expected value of the reciprocal of y, obtained similarly by multiplying each 1/y with its corresponding P(y) and summing up the products.
e(y 2 − 1) represents the expected value of y-squared minus one, obtained by squaring each y, subtracting one, multiplying with the corresponding P(y), and then adding the results.
Finally, for v(y) or the variance of y, one would first need to find the expected value of y-squared [E(y^2)], and then use the identity v(y) = E(y^2) - {E(y)}^2 to compute the variance.
Learn more about Discrete Random Variables here:https://brainly.com/question/17238412
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