Explanation:
It is convenient to regroup the numbers, and adjust two of them to "make a ten".
= 13 + 17 + 19 . . . . rearrange (swap the order of 17 and 19)
= (10 + 3) + (-3 + 20) + 19 . . . . "make a ten" by adding or subtracting a small number. Here, those adjustments cancel—which is the point of doing it.
= 10 + 20 + 19
= 30 + 19
= 49
will give BRAINEST
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?
What is the value of n?
9×27+2×31-28= n
n=277
Hope this will help!
(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above 100? (round your answer to one decimal place.)
a triangle with a base of 12 millimeters and height of 11 millimeters
Give the derivative of f(x) = arctan(e^(5x)) at the point where x=0
The derivative of f(x) = arctan(e^(5x)) at x=0 is 2.5, using chain rule and the derivative of the arctan function.
Explanation:The function given is f(x) = arctan(e^(5x)). To find its derivative at the point where x=0, we have to use the chain rule and the derivative of the arctan function.
Firstly, the derivative of arctan(u) is 1 / (1 + u^2). Therefore, if u = e^(5x), then the derivative of arctan(e^(5x)) is: 1 / (1 + (e^(5x))^2).
Secondly, because u = e^(5x), the derivative of u is 5e^(5x). We incorporate this using the chain rule to get the derivative: 5e^(5x) / (1 + (e^(5x))^2).
Finally, substitute x=0 into the derivative equation. We find that the derivative of the function at x=0 is: 5 / (1 + 1) = 2.5.
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7x2+3[81-(4x6)]
Simplify
I really need help on this
14+3n=8n-3(n-4) this is really hard please help me
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
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?
In Christopher Marlowe's The Tragical History of Doctor Faustus, why did Faustus begin to believe that human salvation was impossible? Faustus first began to believe that human salvation was impossible because In addition, he had
Answer:
he read the scripture and saw that all human beings sin and are doomed
Step-by-step explanation:
What is .0091 rounded to thousands?
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.
A small piece of metal weighs 0.77 gram. What is the value of the digit in the tenths place
Why is it helpful to write a number as a product of primes?
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
How many gallons of 20% antifreeze should be mixed with 10 gallons of 92% antifreeze to obtain a 65% antifreeze mixture?
1/5 of the animals at a zoo are monkeys. 5/7 of the monkeys are male. What fraction of the animals at the zoo are male monkeys?
Answer : The fraction of the animals at the zoo are male monkeys, [tex]\frac{1}{7}[/tex]
Step-by-step explanation :
As we are given that:
Fraction of animals at a zoo are monkeys = [tex]\frac{1}{5}[/tex]
Fraction of monkeys are male = [tex]\frac{5}{7}[/tex]
So,
Fraction of the animals at the zoo are male monkeys = Fraction of animals at a zoo are monkeys × Fraction of monkeys are male
Fraction of the animals at the zoo are male monkeys = [tex]\frac{1}{5}\times \frac{5}{7}[/tex]
Fraction of the animals at the zoo are male monkeys = [tex]\frac{1}{7}[/tex]
Thus, the fraction of the animals at the zoo are male monkeys, [tex]\frac{1}{7}[/tex]
5n=35 what is n equal to?
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.
Evaluate the expression for the given values.
mx−y when m=1, x=5x=5, and y=2
Enter your answer in the box.
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°
Write the equation in standard form of the circle with radius 5 and center 0,3
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.
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What proportion of a normal distribution is located between z = 0 and z = +1.50? 0.4332 0.8664 0.0668 0.9332?
Solve the system by substitution . 2x+y=-11 3x-4y=11
(3,5)
(-5,-3)
(-3,-5)
(5,3)
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?
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.)
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.