A random sample is a subset of a population where every individual has an equal and known chance of being selected, providing a representative segment for study.
A random sample is a sample in which each member of the population has a known, nonzero, chance of being selected for the sample. This means that in a random sample, every individual in the larger population has an equal opportunity to be included. There are various methods to achieve a random sample, such as simple random sampling, stratified sampling, or using random digit dialing. Random samples are crucial because they tend to be representative of the population, thereby allowing the results of studies to be generalizable.
For a function p(x)= x^2-9, what is the inverse function for the domain [0, infinity\
Paul took out a 2-year loan for $1450 at a computer retailer to be paid back with monthly payments at an 18% APR, compounded monthly. If the loan offers no payments for the first 4 months, about how much in total will Paul pay in interest for the loan?
What is the value, after 7 years, of a 2014 mustang that was originally 25,000.00, if it depreciates at a rate of 8% per year??
The estimated answer would be =14000
If 25 people play the game how many people do you expect to hit HHH?
Answer:
Almost 3 persons are expected to hit HHH.Step-by-step explanation:
To find the answer we must use the diagram, we see that among 8 possible results, there's one possible outcome to hit HHH.
So, to find the amount of people that are expected to hit HHH, we just have to multiply each percentage assigned to the HHH outcome:
[tex](0.7)(0.5)(0.3)=0.105[/tex]
Now, we see that a 10.5% of the people will be expected to hit HHH.
The approximate number of people would be:
[tex]25(0.105) \approx 3[/tex]
Therefore, almost 3 persons are expected to hit HHH.
Sathish is going on a 200020002000-kilometer road trip with two friends. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.If Sathish and his two friends want to split the cost evenly, how much should they each pay?\$
determine the amount of an investment if $400 is invested at an annual interest rate of 7.25% for 7 years. round to the nearest penny.
WILL GIVE BRAINLIEST
Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth.
946, 726, 956, 519, 104, 415, 428, 457, 614, 201, 772, 801
A. mean = 566.5; standard deviation = 261.9
B. mean = 578.3; standard deviation = 261.9
C. mean = 578.3; standard deviation = 68572.4
D. mean = 566.5; standard deviation = 68572.4
Answer:
mean is 578.3 deviation 261.9
Step-by-step explanation:
Find the product of (5.2 · 10-6) and (8 · 103).
Final answer:
To find the product of (5.2 · [tex]10^-^6[/tex]) and (8 · 10³), multiply the base numbers and add the exponents. The result is 41.6 × [tex]10^-^3[/tex], which simplifies to 4.16 × 10^-2.
Explanation:
The student asked to find the product of two numbers expressed in scientific notation: (5.2 · [tex]10^-^6[/tex]) and (8 · 10³). When multiplying numbers in scientific notation, you multiply the base numbers and add the exponents.
Step-by-Step Solution:
Multiply the base numbers: 5.2 × 8, which equals 41.6.Add the exponents of 10: (-6) + 3, which equals -3.Combine the results to express the product in scientific notation: 41.6 × [tex]10^-^3[/tex].Simplified Result:
This can further be simplified by writing 41.6 × [tex]10^-^3[/tex]as 4.16 × [tex]10^-^2[/tex], by moving one decimal place to the left in the base number and increasing the exponent by 1 to balance it.
TIMED, anyone know the answer?
How do find the measure of side a?
The measure of side a is 14.
We have,
We use the trigonometric identites:
Sin function
Now,
Sin A = Perpendicular / Hypotenuse
Sin 34 = a / 25
0.56 = a / 25
a = 0.56 x 25
a = 14
Thus,
The measure of side a is 14.
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A class of 24 students was asked to identify a team spot in which they have participated. Their responses are shown in the line plot.
a. How many total responses are recorded in the line plot for the five sports?
b. What is the total number of students polled?
c. Give a possible explanation as to why the answers of part (a) and (b) are different.
Which linear expression is a factor of the polynomial function f(x) = x3 + 2x2 − x − 2? x − 2 x + 2 x + 3 x − 3
Find the slope of the line that passes through the pair of points. (4, 8), (8, 11)
A group of people are going on a 5 mil hike. They walked 2 1/10 miles in the morning and 1 1/4 mils during the first hr of the afternoon. How many miles do they have to walk?
Find the value of x and y
Answer:
B. [tex]x=62[/tex]; [tex]y=30[/tex]
Step-by-step explanation:
We have been given two similar triangles. We are asked to find the value of x and y for the given triangles.
[tex]\Delta SWK\sim \Delta EBT[/tex]
We know that the measure of corresponding angles of two similar triangles are equal.
[tex]m\angle S=m\angle E[/tex]
[tex]m\angle W=m\angle B[/tex]
[tex]m\angle K=m\angle T[/tex]
[tex]110=2x-14[/tex]
[tex]2x-14=110[/tex]
[tex]2x-14+14=110+14[/tex]
[tex]2x=124[/tex]
[tex]\frac{2x}{2}=\frac{124}{2}[/tex]
[tex]x=62[/tex]
[tex]m\angle S=m\angle E[/tex]
[tex]40=m\angle E[/tex]
Using angle sum property, we will get:
[tex]m\angle E+m\angle B+m\angle T=180[/tex]
[tex]40+y+110=180[/tex]
[tex]y+150=180[/tex]
[tex]y+150-150=180-150[/tex]
[tex]y=30[/tex]
Therefore, option B is the correct choice.
i need help with number 2 please p
A culture started with 3,000 bacteria. After 7 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after 17 hours. Round your answer to the nearest whole number. P=Ae^kt
Answer:3,780
What is the area of a circle with a radius is of 6 inches?
Which set of numbers includes only whole numbers?
Write an equation for a line
g(x)
perpendicular to
f(x) = 5x − 8
and passing through the point
(5, 10)
The circle is inscribed in the triangle. Find the perimeter of the triangle.
A. 20 cm
B. 24 cm
C. 35 cm
D. 48 cm
The perimeter of the triangle will be 48 cm. The correct option is D.
What is a perimeter?A perimeter is the total length of the boundary or outer edge of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape.
For example, the perimeter of a rectangle is the sum of the lengths of all four sides, while the perimeter of a circle is the distance around its circumference. The perimeter is usually measured in units such as meters, centimeters, inches, or feet, depending on the context of the problem.
Whenever we have two tangents outside the circle and they are in contact with each other, it means their lengths are the same
The perimeter of the triangle will be calculated as,
Perimeter = sum of all the sides
Perimeter = ( 11 + 11 + 7 + 7 + 6 + 6 )
Perimeter = 48 cm
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if f(x) and it’s inverse function, f-1(x) are both plotted on the same coordinate plane, what is their point of intersection?
By using basic property of inverse function we got that if f(x) and it’s inverse function are both plotted on the same coordinate plane, then their point of intersection is (3,3)
What is function ?Function is relation between a set to another set with a property that every element of first set has a unique image in second set.
Here graph of f(x) is given and we have to find the point of intersection of function and it's inverse function
We know that a function and it's inverse function are mirror image of each other with respect to line y=x hence they intersect only at y=x line
By drawing y=x line with the given graph we got that f(x) intersect y=x line at (3,3) hence inverse function will intersect at (3,3)
By using basic property of inverse function we got that if f(x) and it’s inverse function are both plotted on the same coordinate plane, then their point of intersection is (3,3)
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When the graph of a function and its inverse function are plotted on the same coordinate plane, the point of intersection is the point where the two graphs intersect. Therefore, the point of intersection is (x, y).
Explanation:When the graph of a function and its inverse function are plotted on the same coordinate plane, the point of intersection is the point where the two graphs intersect.
Let's say the point of intersection is (x, y).
This means that both f(x) and f-1(x) have the same x-coordinate, which is x, and the same y-coordinate, which is y.
Therefore, the point of intersection is (x, y).
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Please help me with this
thank u soo much:)
One angle of a triangle is three times as large as another. the measure of the third angle is 65 degrees more than that of the smallest angle. find the measure of each angle.
On n − {1}, the relation r given by a r b iff the prime factorizations of a and b have the same number of 2's. for example, 48 r 80 because 48 = 24 · 3 and 80 = 24 · 5. name three elements in each of these classes: 7, 10, 72.
Assume that the original claim is true, and follow the directions given. what is the truth value of the claim you wind up with? all people who win lotteries are people who get lots of mail. (find the contrapositive, then convert.)
Using radicals, write an equivalent expression for 2 1/3
The equivalent expression of [tex]2^{\frac{1}{3} }[/tex] in radical forms is ∛2
What are radicals?Radical are expression that uses a root, such as square root, cube root . They are numbers represented in radical symbols.
Therefore,
[tex]2^{\frac{1}{3} }[/tex] in radical form can be represented as follows:
Using indices rule
[tex]a^{\frac{1}{b} } = \sqrt[b]{a}[/tex]
Therefore,
[tex]2^{\frac{1}{3} } = \sqrt[3]{2}[/tex]
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The scale factor of a figure and its enlargement is 6. What is the new length of the enlarged figure if the original length is 3 cm?
3 cm
6 cm
18 cm
36 cm
Answer:
The new length of the enlarged figure will 18 cm.
Step-by-step explanation:
A scale factor is a number which scales, or multiplies the original figure by some quantity.
In the equation [tex]y = Cx[/tex], C is a scale factor for x. It is called the constant of proportionality or scale factor of y to x.
As the given length is 3 cm, so with a scale factor of 6, the length of the enlarged figure will be [tex]3\times 6=18[/tex] cm
Therefore, the new length of the enlarged figure will 18 cm.
What is the surface area of a cone with diameter 28 cm and height 22 cm in terms of pi?
a. 196 pi cm^2
b.365 pi cm^2
c.561.1 pi cm^2
d.2202.8 pi cm^2
The surface area of a cone with diameter 28 cm and height 22 cm in terms of pi is:
c. 561.1 pi cm²
Step-by-step explanation:The diameter of cone= 28 cm
Radius of cone is half the diameter this means that:
Radius(r) of cone= 14 cm
Also, height(h) of cone= 22 cm
We know that the surface area of cone is given by:
[tex]Surface\ Area=\pi r(r+\sqrt{h^2+r^2})[/tex]
Now as we know the value of h and r hence we will substitute these values in the formula to get:
[tex]Surface\ Area=\pi \times 14(14+\sqrt{(14)^2+(22)^2})\\\\\\Surface\ Area=14\pi (14+26.07681)\\\\\\surface\ Area=14\pi\times 40.07681\\\\\\Surface\ Area=561.07534\pi cm^2[/tex]
Hence, the surface area of cone is: 561.1π cm²
You want to draft a four player tennis team. There are eight players to choose from. How many different teams can you form?
We want to make a 4 players team, and there are total 8 players. As we know the order of selection does not matter in a team of players, only the combination of players matters.
So we would use concept of Combinations and It will be choose 4 out of 8 players.
The formula for Combination is given as follows :-
[tex]nCr = \frac{n!}{r!*(n-r)!} \\\\ Choose \;4 \;out \;of \;8 \;players \\\\ 8C4 = \frac{8!}{4!*(8-4)!} = \frac{8!}{4!*4!} \\\\ 8C4 = \frac{8*7*6*5*4*3*2*1}{(4*3*2*1)*(4*3*2*1)} = \frac{8*7*6*5}{4*3*2*1} =\frac{1,680}{24} = 70 \;combinations[/tex]
Hence, Total number of different teams = 70 combinations.