Answer: 21 Tomatoes
Step-by-step explanation:
5 + 2 = 7
147 / 7 = 21
21 Tomatoes
victor, a student at um, conducted a similar survey among undergraduate students at the university of michigan using a random sample of the same size from the study conducted at cornell university and obtained the same sample proportion. the undergraduate student body at the university of michigan is almost twice as large as the undergraduate student body at cornell university. victor is concerned that the computation of the margin of error for a confidence interval for the population proportion will be affected by the population size. do you agree with victor's concern?
Yes, Victor needs to have similar portion of the population in the sample.
What is population size?
The number of objects inside a geographical area that has been arbitrary assigned as the population size.
In a fair, unbiased poll
Population proportion plus random error equals sample proportion.
According to the Normal Approximation, the standard deviation of the distribution of these random mistakes across all feasible samples is
[tex]\sqrt{\frac{\text{Population proportion}(1-\text{Population proportion})}{n}}[/tex]
The sample estimate's variance from the actual population value is known as the random error. Numerous alternative summaries, such as sample averages or discrepancies between two sample proportions or averages, are likewise consistent with the observation that random mistakes follow the normal curve.
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25) If a number, n, divided by 8 equals 2.5, what is n?
26) The sum of a number, n, and 6.05 is 12.4. What is n?
27) Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?
28) One-third of a painting job takes 24 hours. How long will it take to finish the entire job?
The solutions for the equations in each of the questions given are as follows;
25). The number, n in which case equals 2.5 when divided by 8 is; n = 20.26). The number n which sums up with 6.05 to equal 12.4 is; n = 6.35.27). Stacy's age as required is; 9 years.28). The entire job takes 72 hours.What is the solution for the given equations?It follows from the task content that the solution for all of the given word problems are to be determined.
25. If a number, n, divided by 8 equals 2.5, what is n?
The algebraic representation is; n/8 = 2.5.
Hence, the value of n is; n = 8 × 2.5 = 20.
26. The sum of a number, n, and 6.05 is 12.4. What is n?
The algebraic representation is; n + 6.05 = 12.4.
Hence, the value of n is; n = 12.4 - 6.05 = 6.35.
27. Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?
The algebraic representation is; 36/4 = n.
Hence, Stacy's age, n is; n = 9.
28. One-third of a painting job takes 24 hours. How long will it take to finish the entire job?
The algebraic representation is; n/3 = 24.
Hence, the value of n is; n = 3 × 24 = 72 hours.
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What are the two square roots of 1/121
Answer:
-1/11, +1/11
Step-by-step explanation:
You want the two square roots of 1/121.
Square rootA square root can be either positive or negative.
[tex]\pm\sqrt{\dfrac{1}{121}}=\pm\dfrac{1}{\sqrt{121}}=\boxed{\pm\dfrac{1}{11}}[/tex]
__
Additional comment
The √ symbol generally means the principal square root, the positive root. To get the negative root, we precede the symbol with a minus sign. So, both square roots are identified as ±√( ).
Complete the statement.
48 cm = mm
The value of the 48 cm will be equal to 480 mm.
What is a unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that the number is 48 cm. Here 48 cm is the length of any object the value of 48 cm in the unit mm will be calculated as below,
1 cm = 10 mn
48 cm = 48 x 10 mm
48 cm = 480 mm
Therefore, the value of the 48 cm will be equal to 480 mm.
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the probability distribution of all possible values of the sample mean is called the . select one: a. central probability distribution b. standard error c. sampling distribution of the sample mean d. random variation
The probability distribution of all possible values of the sample mean is called the sampling distribution of the mean.
What is meant by the sampling distribution of the mean?
An accurate probability distribution of a statistic is known as a sampling distribution, and it is created by repeatedly sampling a certain population. It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.Why is sampling essential and what does it mean?
Sampling is the process of choosing a portion of the general population or a subset of social phenomena to be investigated. The primary goal of sampling is to make assumptions about the larger group based on data collected from the smaller group. The selection of a representative sample is the primary means of achieving this.Learn more about Probability
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Write a polynomial f (x) that satisfies the given conditions.
Degree 3 polynomial with integer coefficients with zeros 7i and 9/5
If the degree of the polynomial is 3 with zeros 7i and 9/5, then the polynomial f(x) = [tex]5x^3-9x^2+245x-441[/tex]
The zeros of the polynomial = 7i and 9/5
Here the degree of polynomial is 3, therefore there will be three zeros in polynomial, here only 2 zeros are given. We have to find the third zero of the polynomial.
Here one of the polynomial is complex number, therefore another zero will be the conjugate of the complex zero
Therefore the equation will be
(x+7i)(x-7i)(5x-9) = 0
We have to solve the equation
([tex]x^2[/tex] -7ix+7ix+49)(5x-9) = 0
([tex]x^2[/tex] + 49)(5x - 9) = 0
[tex]5x^3-9x^2+245x-441 =0[/tex]
Therefore
f(x) = [tex]5x^3-9x^2+245x-441[/tex]
Hence, if the degree of the polynomial is 3 with zeros 7i and 9/5, then the polynomial f(x) = [tex]5x^3-9x^2+245x-441[/tex]
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Find the perimeter of the parallelogram. (please answer asap! ty!)
Perimeter of the parallelogram is 20 units.
According to question,
3 + x = 2a - 4
x = 2a - 4 - 3
x = 2a - 7
Diagonals in a parallelogram bisects each other.
Therefore, 2a - 7 = 3
2a = 3 + 7
2a = 10
a = 10/2
a = 5
a - 1 = 4b - 6
5 - 1 = 4b - 6
4 = 4b - 6
4b = 4 + 6
4b = 10
b = 10/4
b = 5/2
Opposite sides of a parallelogram are equal.
Therefore, c - 2 = 2b
c - 2 = 2(5/2)
c - 2 = 5
c = 5 + 2
c = 7
Sides of parallelogram,
Side 1 = 12 - c
= 12 - 7
= 5
Side 2 = c - 2
= 7 - 2
= 5
Perimeter of parallelogram = 2(length of side 1 + length of side 2)
= 2(5 + 5)
= 2 * 10
= 20
Hence, perimeter is 20 units.
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f(x) = −3 x 2+ 18x − 27
Answer:
18x−33−f(x)=0
Step-by-step explanation:Solve for f by simplifying both sides of the equation, then isolating the variable.
a sample of 1,400 american households was asked if they planned to buy a new car next year. of the respondents, 34% indicated they planned to buy a new car next year. construct a 90% confidence interval of the proportion of american households who expect to buy a new car next year.
The proportion of American households who expect to buy a new car next year is[0.3191, 0.3609].
The Four answer choices:
[0.3152, 0.3648]
[0.3191, 0.3609]
[0.3394, 0.3406]
[0.3354, 0.3446]
According to the survey, 1,400 American households are expected to buy a new car next year. According to respondents, 34% plan on buying a new car next year.
The confidence interval for a population proportion is given by the following equation for large random samples
Sample proportion ± z × [tex]\frac{\sqrt{(sample proportion(1-sample proportion)}}{n}[/tex]
whereas z is a multiplier number that comes from the normal curve and determines the level of confidence.
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Given m || n, find the value of x.
(8x+9)°
81⁰
Find the equation to represent the volume of
a cylinder with diameter 10 and height of 2x.
The volume of a cylinder is 50πx
We know that
The volume (V) of a cylinder is,
V = πr²h
where
r is the radius of the cylinder
h is the height of the cylinder
From the question, we have
a cylinder with diameter 10 and height of 2x.
r = 10/2 =5
V = πr²h
V = π*5²*2x
V = 50πx
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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The geometric mean of a number and nine times the number is 30. What is the number?
The hypotenuse of a right triangle measures 8 cm and one of its legs measures 4 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
4√3 (about 6.9) cm.
Step-by-step explanation:
In a 30°-60°-90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.
Here, the length of the longer leg is 4√3, or about 6.9, cm.
A theatre contains 439 seats and the ticket prices for a recent play were $48 for adults and $28 for children. if the total proceeds we $15,852 for a sold-out matinee, how many of each type of ticket were sold?
The theatre sold 178 adult tickets and 261 children tickets for the play.
It is given that the total number of seats is 439 seats.
There are two types of tickets available- children and adults.
The price for adult tickets is $48 and that for children is $28.
Let the number of adult tickets sold be x
Let the number of children's tickets sold be y.
The show was a sold-out
Hence,
x + y = 439 [1]
48x + 28y = 15852 [2]
From equation [1] we get
x = 439 - y
putting this result in equation [2] gives us
48(439 - y) + 28y = 15852
or, 21072 - 48y + 28y = 15852
or, -20y = - 5220
or, y = -5220/ -20
or, y = 261
Therefore,
x + 261 = 439
or, x = 439 - 261
or, x = 178
Hence, 178 adult tickets were sold and 261 children's tickets were sold.
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PLEASE HELP MEE!
Solve x2 – 2x = 15 by applying the quadratic formula.
I need help I don’t understand how it’s wrong
==========================================
Explanation:
If it is possible to draw a single vertical line through more than one point on the blue graph, then that graph is not a function. We consider it failing the vertical line test. Such a thing happens in the middle of the top row (graph 2). A vertical line intersects the sideways parabola at more than one point.
Recall a function is when any given input leads to exactly one output. We can't have the input x = 4 lead to both y = 1 and y = -3 at the same time for instance.
Graph 4 is another instance where we don't have a function for similar reasoning. This graph fails the vertical line test. So does graph 6.
The other graphs (1, 3, and 5) all pass the vertical line test since it's not possible to draw a single vertical line to intersect through more than one blue point.
It’s time for ronda to start repaying her student loans, which are amortized over the next 10 years, her first payment due is $396 how much should she expect to pay next month
Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is $396.
When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.
The amortized amount contains:
A portion going towards the principal(debt )
A portion going towards the interest accumulated.
In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.
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Give the numerical coefficient of the term.
xw
The numerical coefficient is _____.
Answer:
x
Step-by-step explanation:
The numerical coefficient is x.
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. He originally planned for the length of the pool to be 40 m but decided to change it to 32 m. If the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?
One cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
One cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.
One cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.
One cm represented 4 m in the first scale, but no
The true statement about the change of scale is 1 cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, Tran planned a rectangular pool and made a scale drawing using cm as the unit of measurement. He originally planned for the length of the pool to be 40 m but decided to change it to 32 m. If the length of the pool in his scale drawing is 8 cm,
The scale factor of drawing to original pool was 1/5 before changing the length but when length changed to 32 m scale factor now is 1/4
Hence, The true statement about the change of scale is 1 cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
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can someone help pls
hello please help
I WILL GIVE BRAINLIEST!
Help? Fractions/visual
3/3 * 3/4 is fraction of green color .
What is fraction in math?
Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.green colored boxes = 3
blue colored boxes = 3
fraction of green = 3/3 * 3/4
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Serena just started working at the local salon. She is paid $9.85 per hour and earns, on
average, $58.50 in tips each day. Roseline just started working at a bank. Since she
does not receive tips, she earns $16.35 an hour. The system of equations
{y=9.85x+58.50 y=16.35x can be used to represent the amount of money earned, y,
each day for working x hours.
Determine the number of hours Serena and Roseline have to work to earn the same
amount of money.
The number of hours Serena and Roseline have to work to earn the same amount of money will be 9 hours.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Serena recently began working at the nearby salon. By and large, $58.50 in tips every day. Roseline recently began working at a bank. Since she doesn't get tips, she procures $16.35 60 minutes. The arrangement of conditions {y = 9.85x + 58.50 and y = 16.35x} can be utilized to address how much cash is procured, y, every day for working x hours.
The number of hours Serena and Roseline have to work to earn the same amount of money will be given as,
16.35x = 9.85x + 58.5
6.5x = 58.5
x = 9 hours
The number of hours Serena and Roseline have to work to earn the same amount of money will be 9 hours.
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Mariyah wants to enlarge a triangle with sides of 3 inches, 6 inches, and 6 inches. If the shortest side of the new triangle is 13 inches, how long will the other two sides be?
The other sides of the new triangle are 13, 26 and 26 inches as calculated by the properties of similarity.
We know that when two triangles are similar then the ratio of the sides are also equal.
Let the original triangle be ΔABC and the new triangle be ΔXYZ
So from the property of similarity.
AB/XY = BC /YZ = CA/ ZX
Now it is given AB = 3 inches
XY = 13 inches
Hence AB/XY = 13/3
Hence YZ = 13 / 3 × 6 =26 inches
Again ZX = 26 inches
Similar triangles have parallel sides that are proportional to one another and parallel angles that are identical to one another.
Triangles can have different diameters despite having comparable exteriors. Triangles that are congruent and similar to each other usually don't match up.
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the breaking strengths of a random sample of 20 bundles of wool fibers have a sample mean 436.5 and a sample standard deviation 11.9. (a) construct 90%, 95%, and 99% confidence intervals for the average breaking strength of the wool fibers. (b) compare the widths of the three confidence intervals. at which level of confidence do you have the widest interval? (c) do you think it is plausible that the average breaking strength is equal to 450?
With the help of standard deviation we can conclude our answer.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD.acc to our question-
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When using re-grouping to solve 21 x 43, what are the four products that would be calculated and then added?
800 + 40 + 6 + 3
80 + 40 + 60 + 3
800 + 40 + 60 + 3
800 + 3
Using re-grouping to solve 21 x 43, the four products that would be calculated and then added is: 800 + 40 + 60 + 3.
How to find the products?Given data:
21 x 43
Now let make use of re-group to find the for product
21 x 43
So,
20 +1 = 21
40 + 3 =43
Hence,
(20+1) × (40+3)
Expand
(20 × 40) + (1 × 40) + (20 ×3) + (1 ×3)
800 + 40 + 60 + 3
= 903
Check:
21 x 43 = 903
800 + 40 + 60 + 3 =903
Therefore the correct option is C.
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Show that a sum of the angles of a polygon could be 1800 and not 2000
Answer:
150
Step-by-step explanation:
The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides, so we will let n = 12. The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800.
What are the correct set of factors for the given equation?
1. 4x² - 11x - 3=0 18
A (2x + 1)(2x − 3)
B (4x + 1)(x − 3)
C (4x − 3)(x + 1)
X=3/5
Y=1/3
z=2 4/5
work out Z + X x Y
The value of the summation will be equal to 3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that X=3/5, Y=1/3, and z=2⁴/₅.
The value of the Z+ ( X x Y ) will be calculated as,
E = Z + ( X x Y )
E = 2⁴/₅ + ( 3 / 5 ) x ( 1 / 3 )
E = 14 / 5 + 1 / 5
E = 15 / 5
E = 3
Therefore, the value of the summation will be equal to 3.
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
