According to the question, srs is a simple random sample whose size consists of individuals from the population and chosen in such a way that every set of individuals has an equal chance to be sampled.
What is Stratified random samples?
For stratified random samples, initially classify the population into the groups of similar individuals which is called as “strata”. Later choose simple random samples and combine them to form a full sample.
As per question, srs of [tex]200[/tex] of the [tex]25000[/tex] undergraduate students and the srs of [tex]100[/tex] of the [tex]500[/tex] graduate students. This overall sample is a stratified sample.
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Using the angle addition postulate, find M
1. M
2.M
3.M
4.M
Look at picture for angle
Charlie watches as a pattern develops. In month 1, he starts with 3 guppy fish in his fish tank. The next month, he finds 6 guppy fish in his tank. The following month, he finds 11 guppy fish in his fish tank. Write an expression to model the pattern of guppy fish in Charlie’s fish tank. Use your expression to determine the number of guppy fish Charlie will observe in month 6.
In month 6, Charlie should observe
_______
The expression for modelling the pattern is n² + 2
Charlie can observe 38 guppy fish in month 6.
Given,
Number of guppy fish in Charlie's fish tank for the first time = 3
Number of guppy fish after one month = 6
Number of guppy fish in the following month = 11
The increasing pattern of guppy fish in the tank:
First month = 6 - 3 = 3
Second month = 11 - 6 = 5
So, we get that the number of guppy fish is increasing by odd numbers.
That is, 3, 6, 11, ........
Now, we have to find an expression for this pattern.
First term is 3.
That is, first term² + 2 = 1² + 2 = 3
Let n be the number of term.
n = 3
So, third term be:
3² + 2 = 9 + 2 = 11
So the expression for modelling the pattern is n² + 2
Now, we have to find the number of guppy fish in month 6.
That is,
n = 6
So,
n² + 2
6² + 2 = 36 + 2 = 38
That is, Charlie can observe 38 guppy fish in month 6.
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T V is tangent to the circle, and R and S are points on the circle. What is the value of x to the nearest tenth?
A 7.6
B 6.4
C 5.7
D 4.8
By applying the Tangent Secant Theorem to this circle, the value of x to the nearest tenth is equal to: A. 5.7.
What is the Tangent Secant Theorem?The Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.
By applying the Tangent Secant Theorem to this circle, we have:
(x + x + 3) × x = 9²
(x + 3)x = 81
2x² + 3x = 81
2x² + 3x - 81 = 0
Next, we would solve the quadratic equation by using the quadratic formula:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-3\; \pm \;\sqrt{3^2 - 4(2)(-81)}}{2 \times 2}\\\\x = \frac{-3\; \pm \;\sqrt{9 + 648}}{4}\\\\x = \frac{-3\; \pm \;\sqrt{657}}{4}[/tex]
x = 5.7 or -7.2
Since the line segment cannot be negative, the value of x to the nearest tenth is equal to 5.7.
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Two hikers are 22 miles apart and walking toward each other. They meet in 4 hours. Find the rate of each hiker if one hiker walks 3.3 mph faster than the other.
Two hikers are 22 miles apart and walking toward the each other, they meet in 4 hours. The rate of each hiker if one hiker walks 3.3 mph faster than the other are 2.2mph, 2.2mph, 3.3mph.
What is a speed?Distance divided by time is the dimension of speed. The SI measure of speed is the meter per second (m/s), although the most widely used unit in daily life is the kilometer per hour (km/h), or miles per hour in the US and the UK (mph). The knot is a popular choice for air and sea travel.
The instantaneous speed serves as the upper bound of the average speed as the duration of the time period gets closer to 0. The distance traveled by an object during a period of time divided by the length of the period gives the average speed of an object throughout that period. Velocity and speed are not the same thing.
Time divided by distance are the speed-related metrics. The kilometer per hour (km/h), or miles per hour in the US and UK, is the unit of speed that is most frequently used in daily life. The meter per second (m/s) is the metric unit of speed (mph). The knot is often used in air and sea transportation.
Since the hikers are moving at varying speeds, they collide in a location other than the center.
Let the distance travelled by Hiker A (slower) be x at speed s.
So, the distance travelled by Hiker B (faster) is (22 - x) at a speed (s + 1.1).
s = x / 4
s + 1.1 = 22 - x / 4
After resolving equations 1 and 2, we obtain:
x = 8.8m and s = 2.2mph
Therefore,
Speed of the Hiker A = 2.2 mph
Speed of the Hiker A = 2.2 mph
Speed of the Hiker B = 3.3 mph
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Given the simultaneous equations 2x - y = 1 x² + 4ky + 5k = 0 where k is a non-zero constant show that x² + 8kx + k = 0. Given that x² + 8kx + k = 0 has equal roots.
a) [tex]x^{2}[/tex]+8kx +k=0, b) k=1/16
Here we have equation is 2x -y = 1 , [tex]x^{2}[/tex]+4ky+5k=0
To show that [tex]x^{2}[/tex] +8kx +k =0, we have two equation 2x-y=1 and [tex]x^{2}[/tex] +4ky + 5k=0
So from the equation 2x - y = 1 we can find y
Therefore y = 2x-1
Now we will put the value of y in the equation [tex]x^{2}[/tex] + 4ky + 5k =0
a) We have [tex]x^{2}[/tex] + 4k(2x-1) +5k=0
[tex]x^{2}[/tex] + 8kx -4k + 5k=0
[tex]x^{2}[/tex] +8kx +k=0
b) Now we have to find the value of k, and as from the question it is given that [tex]x^{2}[/tex] + 8kx +k =0 have equal roots
Therefore we get [tex]b^{2}[/tex] + 4ac = 0 is the condition of the linear equation in two equal roots.
So from this we have b= 8k, a = -1, c= k
[tex](8k)^{2}[/tex] - 4× 1×k =0
64[tex]k^{2}[/tex] -4k =0
4k(16k -1) =0
16k-1=0
k = 1/16
As k is a non-zero constant therefore we have not taken k=0. Therefore the value of k is 1/16.
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The complete question is:
Given the simultaneous equations 2x - y = 1 x² + 4ky + 5k = 0 where k is a non-zero constant a)show that x² + 8kx + k = 0. Given that x² + 8kx + k = 0 has equal roots., b) find the value of k.
A die is rolled. find the probability of the given event. (a) the number showing is a 3;
The probability that the number showing is a 3 is [tex]\frac{1}{6}[/tex].
What is probability?Probability refers to the possibility of the occurrence of an event.
P(E) = probability of occurrence of an event E = [tex]\frac{Number Of Favourable Outcomes}{Total Number Of Outcomes}[/tex]
Now,
According to question, number of favorable outcomes = 1, i.e., the number 3 shows up on the die
And the total number of outcomes = 6
Hence, The probability that the number showing is a 3 is [tex]\frac{1}{6}[/tex].
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Write a expression for the following problem.
Frank was going on a trip. He filled his car with 14 gallons of gas. He then drove to his destination and used 14 gallons of gas.
The expression is 14 - 14.
What is the expression?Subtraction is a mathematical operation that is used to determine the difference between two or more numbers. The sign used to depict subtraction is -. Other mathematical operations are addition, multiplication and division.
In order to determine the expression for the amount of gas left, we need to subtract the gas bought from the gas used: 14 - 14
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What is the midpoint of PQ?
Answer:
Mpq= (
[tex] \frac{4 \times \frac{1}{3} + - 2 \times \frac{1}{5} }{2} and \frac{3 \times \frac{1}{6} + 3 \times \frac{2}{3} }{2} [/tex]
[tex] \frac{16}{15} \: and \frac{41}{12} [/tex]
midpoint for PQ is (16/15; 41/12)
you are the administrator of an annual essay contest scholarship fund. this year a $52,000 college scholarship is being divided between the top two contestants so that the winner receives three times as much as the runner-up. how much will each contestant receive (in dollars)?
The amount each contestant will receive is as follows:
First position = $39,000Runner up = $13,000How to find the amount each contestant will receive?This year $52,000 college scholarship is being divided between the top two contestants .
Therefore,
Total amount to share to the top winners = 52000 dollars
The winner receives three times as much as the runner-up.
Therefore,
let
x = Amount received by the runner-up
Hence,
Amount the winner received = 3x
Therefore,
52,000 = 3x + x
52,000 = 4x
divide both sides by 4
4x / 4 = 52,000 / 4
x = 13000 dollars
Hence,
Amount the winner received =3(13000) = $39000
Amount received by the runner-up = $13,000
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Please?? Help Needed
Sooner would be appreciated.
Answer:
2
Step-by-step explanation:
What you do to one side, you must do to the other.
When you add the 2 on one side of the = sign then you have to add the 2 on the other side. when you do that you will get 7 + 2. so the number in the green is 2. hope this helped a little!
Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: An angle bisector divides an angle into two congruent angles. →KM is an angle bisector of ∠J K L .
Conclusion: ∠J K M ≅ ∠M K L battery is dead.
Answer:
Step-by-step explanation:
The answer to this my friend would be valid by the law of syllogism because our P is an angle bisector and our q is km. Our r is connecting to our p and says that they are congruent. Therefore if An angle bisector divides an angle into two congruent angles, then JKM and KML are congruent.
Hope this helps!
The Conclusion: ∠J K M ≅ ∠M K L is valid
Given data
An angle bisector divides an angle into two congruent angles. →KM is an angle bisector of ∠J K L .
What is bisection?Bisection is a term in mathematics that refers to dividing into two equal parts. This term is used more in the branch of mathematics called geometry.
Bisection can be done for an angle or line, for a line the given line is divided into two equal parts. Angle bisector divides the given angle into two equal parts to give two equal angles
When angle JKL is bisected by line KM. The line will lead to two angles which are:
∠J K M ∠M K LThese two angles are congruent and are represented by the formula below: ∠J K M ≅ ∠M K L
Hence we can say that the conclusion is valid
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Jackets cost the retailer $75 a piece to purchase wholesale. If he has five to sell and
doesn't sell them until 30 days have gone by, how much money does he lose? Remember
a loss is shown with a negative rational number.
with Rational Numbers
Answer:
Retailer will loss $375. If he didn't sell that Jackets until 30days.Step-by-step explanation:
Given that
Jackets cost the retailer $75 a piece to purchase wholesaleHe has 5 Jackets for sell.To find
If he didn't sell that all peace until 30 days then the lost of him.So, according the question,
We have
The price of one peace Jacket = $75.The quantity of Jacket = 5So, the money he loss to don't sell that Jackets in 30 days is the total cost of all jackets.
∴ The Total cost of all Jackets = 75 × 5
= $375.
Answer: Retailer will loss $375.
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what is the argument in the logarithmic function f(x)=log,4
Answer:
The expression or number to which the logarithm is operated on is called the argument. From the mathematical expression (x=logbn) ( x = l o g b n ) , n is the argument of the logarithm. The argument of a log function is always positive and should not be equal to 1. Hope this answer helps you.
Find the equation of a line that is perpendicular to the line x = 11 and contains the point (7,6). some one help plsss
The equation of a line that is also perpendicular to the line [tex]x = 11[/tex] and contains the point [tex](7,6)[/tex] is [tex]y=6[/tex]
As per the question statement, we are supposed to find the equation of a line that is also perpendicular to the line [tex]x = 11[/tex] and contains the point [tex](7,6)[/tex].
Before solving that, we need to know that the given line [tex]x = 11[/tex] is parallel to the y-axis as no point is passing through y axis hence the slope [tex]m_{1}[/tex] of the given line will be [tex]\frac{1}{0}[/tex].
The required line is perpendicular to the given line, so it will be parallel to the x-axis and hence it's slope would be slope [tex]m_{2}[/tex] = [tex]0[/tex]
We know the equation of the line passing through a some point [tex]x_{1}[/tex] and [tex]y_{1}[/tex] having slope m is given by:
[tex]y-y_{1} =m_{2} (x-x_{1})[/tex]
Here the required line is passing through (7,6), hence substituting the values of [tex]x_{1}, y_{1} ,m_{2}[/tex], we get
[tex]y-6=0(x-7)[/tex]
or [tex]y-6=0[/tex]
or [tex]y=6[/tex]
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in 2016, taxicabs in los angeles charged an initial fee of $2.85 plus $2.70 per mile. in equation form, fare
If the taxicabs in Los Angeles charged an initial fee of $2.85 plus $2.70 per mile, the the equation of the fare is 2.85+2.70x
Given,
The initial fee of taxi cab = $2.85
The charges per mile = $2.70
Consider the number of miles as x
Then,
The equation of the fare = 2.85+2.70x
Hence, If the taxicabs in Los Angeles charged an initial fee of $2.85 plus $2.70 per mile, the the equation of the fare is 2.85+2.70x.
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Look at both pictures before answering
only answer if you are sure it's correct
if it's not correct I'm reporting :D
answer quickly bc I'm timed
you get 5 stars, nice comment, heart, and brainliest if you are the first corret answer
TY FOR READING THIS OMG UR SO NICE <3
Answer: A
Step-by-step explanation:
A. 2.6x 10^-7
Answer:
a
Step-by-step explanation:
because you move the decimal 7 times to the right to put it into scientific notation
PLEASE HELP & THANKS SO MUCH.
A: Domain: (1.25,0) Range: (0,1)
B: Domain: −2≤x≤2 Range: −2≤y≤3
C: Domain: −2≤x≤3 Range:−2≤y≤2
D: Domain: −4≤x≤4 Range: −4≤y≤4
E: Domain: −2≤x≤2 Range: −3≤y≤3
The Domain of the given function is −2≤x≤2 and the range of the given function are −2≤y≤3.
The domain of a graphical function refers to all the input values which are shown or plotted on the x-axis. The domain of a function may be defined as the set of values that are assumed for the function.
The range of a graphical function refers to all the input values which are shown or plotted on the y-axis. The range of a function may be defined as the set of values that the function gives after assuming the input values for the function.
Here in the graph, the set of input values on the x-axis are from -2 to 2. Thus, the domain is −2≤x≤2. Also, the set of input values on the y-axis is from -2 to 3. Thus, the range is −2≤y≤3.
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When you look at a pencil in water, it looks bent. This illusion is due to refraction, or the bending of light when it moves from one substance to the next.
c. Without measuring, determine how many degrees the path of the light changes after it enters the water. Explain your reasoning.
Answer:
The change in direction or bending of a light wave passing from one transparent medium to another; caused by the change in wave's speed is known as “Refraction”. Pencil appears bent in water because of the refraction of light rays
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION!!!!!!!!!!!!!!
What are all solutions of the equation x3 = 64?
A. −8 and 8
B. 8 only
C. 4 only
D. −4 and 4
Answer:
Both Choice C, D
Step-by-step explanation:
A: Choice A cannot be the correct answer due to it being negative.
B: Choice B also cannot be part of the correct answer because 8 x 3 = 24
C: Choice C is part of the correct answer
D: Choice D is also part of the correct answer
the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?
Answer:
Use distance formula between these points to find length of one side of the square.....then multiply by 4 sides
sqrt( 5^2 + 12^2 ) = 13 units side length
Step-by-step explanation:
And i think you can go from there if not please ask me to do the rest for you
What are the arithmetic and geometric (answer in that order.) average returns for a stock with annual returns of 9.4 percent, 8.2 percent, -7.3 percent, 4.1 percent, and 9.5 percent?
The arithmetic and geometric average returns for a stock with annual returns of 9.4 percent, 8.2 percent, -7.3 percent, 4.1 percent, and 9.5 percent are 4.78% and 4.58% respectively.
What is a stock?The shares of ownership in a corporation or company that make up stock (also known as capital stock) in the financial world. A single share of stock represents a fractional ownership in the firm in relation to the entire number of shares (especially in American English, where the word "stocks" is also used to refer to shares). This typically entitles the shareholder (stockholder) to that portion of the company's earnings, proceeds from the sale of assets (after paying off all senior claims such as secured and unsecured debt), or voting rights, often allocating these in proportion to the amount of money each stockholder has invested.
Calculations:
Arithmetic returns=Total returns/Total time period
=(9.4+8.2-7.3+4.1+9.5)/5=4.78%
Geometric returns=[(1+rate1)(1+rate2)........(1+rate5)]^(1/5)
=[(1+0.094)(1+0.082)(1-0.073)(1+0.041)(1+0.095)]^(1/5)
=4.58%
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Solve equation.
5 c=20
To solve the equation, divide both sides by 5. The solution is c = 4.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction or addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.The given problem:
Solve 5c = 20
Notice that the variable, c, is already isolated on the left side.
Divide both sides by 5:
5c : 5 = 20 : 5
c = 4 (solved)
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The approximate weights of two animals are 5.36 x 10^4 lbs. and 6.2 x 10^4 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.
Answer: The total weights of the two animals is 11. 92 × 10² Ibs
Step-by-step explanation:
Which inequality is true? Use the number line to help.
A number line going from negative 5 to positive 3 in increments of 1.
1.5 greater-than 2 and one-half
One-half greater-than 0.5
Negative 2.5 greater-than negative 1.5
Negative 3 and one-half greater-than negative 4.5
Answer:
Negative 2.5 greater-than negative 1.5
C
Step-by-step explanation:
-2.5 < -2
a. no, the program is not statistically significant because the results are unlikely to occur by chance. b. no, the program is not statistically significant because the results are likely to occur by chance. your answer is correct.c. yes, the program is statistically significant because the results are likely to occur by chance. d. yes, the program is statistically significant because the results are unlikely to occur by chance. part 2
The weight loss program is not statistically significant because the results are likely to occur by chance. (Option D)
What is statistical significance?Statistical significance can be used to determine whether a result is more likely the consequence of chance or an important element. Significant results simply imply that you can be sure they are true rather than that you were fortunate (or unfortunate) in the sample you used.Now,
In the given case, 7 subjects have lost around 43 lbs and there is 22% chance of getting these results with a diet that has no effect.In accordance to the definition of statistical significance, it implies that the given program is more likely the consequence of chance.As a result, we can say that in such case, the result occur by chance, i.e., they are followed by a specific probability in terms of occurrence.Hence, the given program is not statistically significant because the results are likely to occur by chance. (Option D)
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(COMPLETE QUESTION:
Determine whether the results below appear to have statistical significance, and also determine whether the results have practical significance.
In a study of a weight loss program, 7 subjects lost an average of 43 lbs. It is found that there is about a 22% chance of getting such results with a diet that has no effect.
Does the weight loss program have statistical significance?
A.No, the program is not statistically significant because the results are unlikely to occur by chance.
B.Yes, the program is statistically significant because the results are unlikely to occur by chance.
C.Yes, the program is statistically significant because the results are likely to occur by chance.
D.No, the program is not statistically significant because the results are likely to occur by chance.)
rob drove to the nearest hospital with an average speed of v meters per seconds in t seconds. in terms of t, if he drives home on the same path, but with an average speed of 3v meters/second, how long is the return trip home?
The time used for the return trip is t / 3
How to find how long the trip took using the average speed?He drove to the nearest hospital with an average speed of v meters per seconds in t seconds.
Therefore,
average speed = distance / time
average speed = v
time used = t
d = distance covered
Therefore,
v = d / t
d = vt
He drives home on the same path, but with an average speed of 3v meters/second. The time used for the return trip is as follows:
Recall he covered the same distance.
Therefore,
average speed = 3v
time used for the return trip = x
d = distance
Hence,
3v = vt / x
x = vt / 3v
x = t / 3
Therefore, the time used for the return trip is t / 3
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Determine the truth value of the following conditional.
14. If two adjacent angles form a right angle, the, then angles are complementary
The statement that "If two adjacent angles form a right angle, then the angles are complementary", is true
How to determine the truth value of the conditional?The conditional is given as:
If two adjacent angles form a right angle, then the angles are complementary
As a general rule, complementary angles add up to 90 degrees i.e. right angle
This means that adjacent angles that add up to 90 degrees are complementary angles
Hence, the statement that "If two adjacent angles form a right angle, then the angles are complementary", is true
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4x⁰y–²z³ divided by 4x
Answer:
Step-by-step explanation:
z³/xy²
Find the value of LK
Answer:
LK = 7
Step-by-step explanation:
NK = NM + ML + LK ( substitute values )
23 = x - 6 + 9 + 2x - 19
23 = 3x - 16 ( add 16 to both sides )
39 = 3x ( divide both sides by 3 )
13 = x
Then
LK = 2x - 19 = 2(13) - 19 = 26 - 19 = 7
The circle x2 + y2 – 12x + 6y – 19 = 0 is translated one unit right and two units down. Which is the radius and center of the translated circle?
Center (6, –3); r = 8
Center (7, –5); r = 8
Center (6, –3); r = 64
Center (7, –5); r = 64
According to the question, the standard equation for the circle is [tex]x^{2} +y^{2} =r^{2}[/tex] in which the points (x, y) are the circumference point and 'r' is the radius of the circle.
The given expression for the circle is shown below:
[tex]x^{2} +y^{2} -12x+6y-19=0[/tex]
Bring same variable terms to one side and again re-write the expression:
[tex]x^{2} -12x+y^{2} +6y-19=0[/tex]
Now, to do factors of the given expression add and subtract 36,9 on both the sides
[tex]x^{2} -12x+36+y^{2} +6y+9=19+36+9[/tex]
Factors can be re-written as:
[tex](x-6)^{2} +(y+3)^{2}=64[/tex]
Comparing the calculated equation for the circle with the standard equation, we circle
The center points as (6,-3) and radius as (r = 8).
Hence, the correct answer is Center(6,-3), r = 8.
What is circle?
The circle can be defined as a symmetrical shaped. It has more than one points and all are at the equidistant from the center.
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Answer:
B
Center (7, –5); r = 8
Step-by-step explanation: