Answer:
I think it's D) 3
Step-by-step explanation:
hope I helped
A population has standard deviation o = 17.2.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.8% confidence interval for u will have a margin of error equal to 3.8?
Round the critical value to no less than three decimal places.
Round the sample size up to the nearest integer.
A sample size of
3.8.
is needed to be drawn in order to obtain a 99.8% confidence interval with a margin of error equal to
Answer:
idk
Step-by-step explanation:
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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Graph: y – 3 = 1/2 (x + 2)
Answer:
The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.
Step-by-step explanation:
The x-intercept is -8, the y-intercept is 4, and the slope is 1/2.
Answer: See below
Concept:
There are different forms of linear equations:
Slope-intercept form: y = mx + bPoint-slope form: y - y₁ = m (x - x₁)Standard form: Ax + By = CIntercept form: x / x₁ + y / y₁ = 1Solve:
Given: y - 3 = 1/2 (x + 2)
Here, we can see the linear equation is in the form of point-slope form.
x₁ = -2
y₁ = 3
m = 1/2
Point included in the graph = (-2, 3)
Slope of the graph = 1/2
Hope this helps!! :)
Please let me know if you have any questions
Suppose X,Y and Z are three different random variables. Let X obey a Bernoulli Distribution. The probability distribution function is. c is a constant here.
Let Y obey the Standard Normal (Gaussian) Distribution, which can be written as Y N(0,1). X and Y are independent. Meanwhile, let Z = XY.
Calculate the covariance of Y and Z (Cov(Y, Z)) and determine whether values of c would affect the correlation.
The value of c does not affect the covariance of Y and Z.
How did we arrive at this assertion?The covariance of Y and Z can be calculated as Cov(Y, Z) = E[YZ] - E[Y]E[Z]. Since X is Bernoulli with parameter p and E[X] = p, we have E[Z] = pE[Y]. Hence,
Cov(Y, Z) = E[YZ] - E[Y]E[Z]
= E[YXY] - pE[Y]^2
= pE[Y^2 X] - pE[Y]^2
= p(E[Y^2]E[X] + Var[Y]p) - pE[Y]^2
= p(1 * p + 1 * p^2) - p^2
= p - p^2
It can be seen that the value of c does not affect the covariance of Y and Z.
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Claire has quarters and nickels in her purse. The total value of the coins is $2.65. Which equation can be used to find x, the number of quarters in Claire’s purse?
Coins in Claire’s Purse
Coin
Number of coins
Nickels
2x + 4
Quarters
x
5 (2 x + 4) + 25 x = 2.65
0.05 (2 x + 4) + 0.25 x = 2.65
0.5 (2 x + 4) + 0.25 x = 2.65
(2 x + 4) + x = 2.65
Answer:
0.05(2x +4) +0.25x =2.65
Step-by-step explanation:
The decimals are in the right places. A. would have been correct but it would have had to be 265 instead of 2.65. They put the decimals in the incorrect place.
Answer:
0.05(2x +4) +0.25x =2.65 or b
Step-by-step explanation:
edge 2021
C and D are sets of real numbers defined as follows. Write using interval notation.
The given sets written in interval notation are
C = (4, ∞), and = (-∞, 9]
Writing sets in interval notationFrom the question, we are to write the given sets using the interval notation
The given sets are
C = {v | v > 4}
D = {v | v ≤ 9}
For set C,
C = {v | v > 4}
The elements of the sets are 5, 6, 7, 8, 9, ...
This can be written in interval notation as (4, ∞)
For set D,
D = {v | v ≤ 9}
The elements of the sets are 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, ...
This can be written in interval notation as (-∞, 9]
Hence, the interval notation form of the sets are
C = (4, ∞)
and
D = (-∞, 9]
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According to creditcard , the mean outstanding credit card debt of college undergraduate was $3173 in 2010. A researcher believes that this amount has decreased since then.
Required:
a. Determine the null and alternative hypotheses.
b. Explain what it would mean to make a Type I and Type Il error.
Answer:
a. The null and alternative hypothesis can be written as:
\(H_0: \mu=3173\\\\H_a:\mu< 3173\)
b. A Type I error is made when a true null hypothesis is rejected. In this case, it would happen if it is concluded that the actual mean outstanding credit card debt of college undergraduate is significantly less than $3173, when in fact it does not.
A Type II error is made when a false null hypothesis is failed to be rejected. In this case, the actual mean outstanding credit card debt of college undergraduate is in fact less than $3173, but the test concludes there is no enough evidence to claim that.
Step-by-step explanation:
We have a prior study of the mean outstanding credit card debt of college undergraduate that states that it was $3173 in 2010.
A researcher believes that this amount has decreased since then.
Then, he has to perform a hypothesis test where the null hypothesis states that the mean is still $3173 and an alternative hypothesis that states that the actual credit card debt is significantly smaller than $3173.
The null and alternative hypothesis can be written as:
\(H_0: \mu=3173\\\\H_a:\mu< 3173\)
what is 676.437 rounded to the nearest one
help
Answer:
676 because the .4 is less than .5, which makes it 676
1. The population of a town was 7420 in 2010. The population grows at a rate of 2.3% annually. (a) Use the exponential growth model to write an equation that estimates the population t years after 2010. (b) Estimate the population of the town in 2022. Show your work.
Hello,
I hope you and your family are doing well!
(a) The exponential growth model is given by the equation P(t) = P0 * r^t, where P(t) is the population t years after 2010, P0 is the population in 2010 (7420), and r is the annual growth rate (2.3%).
Substituting the given values into the equation gives us:
P(t) = 7420 * 1.023^t
This is the equation that estimates the population t years after 2010.
(b) To estimate the population of the town in 2022, we can substitute t = 12 into the equation:
P(12) = 7420 * 1.023^12
Calculating this gives us:
P(12) = 7420 * 1.023^12 = 7420 * 1.291891 = 9593.45
So the estimated population of the town in 2022 is approximately 9593
Happy to help!
Yesterday jack drove 30 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
24.4 miles per gallon or 24 2/5 miles per gallon.
The unit rate of Jack's car is 10.8 miles per gallon.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Yesterday jack drove 30 1/2 miles. He used 1 1/4 gallons of gasoline.
∴ The unit rate for miles per gasoline can be obtained if we divide the total no. of miles by the total no. of gasoline used which is,
= (13.5/1/25).
= 10.8 miles per gallon.
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Somebody help me pls ♀️
1. The trigonometric ratios are given as follows:
Sine = opposite/hypotenuse.Cosine = adjacent/hypotenuse.Tangent = opposite/adjacent.2. The equation to solve for x is given as follows: sin(52º) = x/13.
3. Two equations to solve for m are given as follows:
n² + m² = l².m = square root (l² - n²).4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.
5. The lengths are given as follows:
BD = 4.3 cm.BC = 11.5 cm.What are the trigonometric ratios?The three trigonometric ratios are given as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:
sin(52º) = x/13.
In item 3, the Pythagorean Theorem is used to solve for m, as follows:
n² + m² = l².
m² = l² - n²
m = square root (l² - n²).
In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:
sin(62º) = 7/h
h = 7/sin(62º)
h = 7.9 inches.
The length BD in item 5 is obtained as follows:
cos(30º) = BD/5
BD = 5 x cos (30º)
BD = 4.3 cm.
Then the length BC is calculated as follows:
sin(22º) = 4.3/BC
BC = 4.3/sin(22º)
BC = 11.5 cm.
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rachel is 1.35 m tall her friend pita is 179 cm tall who is taller and by how much give your answer in centimeters
Answer:
Pita, by 44 cm
Step-by-step explanation:
1,35 m = 135 cm
179 cm > 135 cm, so Pita is taller than Rachael
The difference is:
179 cm - 135 cm = 44 cm
HELPPPPP What is the combine legth of all the buttons longer than 1 inch
The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years.
Predict the number of households with cable television in year 10.
A) 8.5 million
B) 10.8 million
C) 12.4 million
D) 14.1 milion
In scatter plot, 12 .4 million is the number of households with cable television in year 10.
What is scatter plot?
A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they may display the degree of connection, if any, between the values of observable quantities or events (referred to as variables).
slope = 9 - 5/7 - 1 = 4/6 = 2/3
N - 5 = 2/3 (T - 1 )
N(t) = 2/3 T + 13/3
when t = 11
N(11) = 2/3 * 11 + 13/3
= 35/3
= 12.4
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Distance between the points (0,-3) and (-8,1).
\([Hello,BrainlyUser]\)
Answer:
\(\sqrt[4]{5}\)
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Formula : \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)
Substitute the actual values of the points into the distance formula.
\(\sqrt{(-8-0)^2 +(1-(-3)^2}\)
\([CloudBreeze]\)
Area and Square Units
Area is amount of surface covered by a figure.
It is measured in square units.
Model each figure.
The area of the given figures is 1) 4 sq. units; 2) 16 sq units; 3) 6 sq units.
Define area and perimeter.
The distance around a closed figure is its perimeter, while the area is the portion of the surface that it occupies. The size of a plane or the space it encloses is expressed in square meters.
1. In this figure, the longest side has 4 units and the smallest one has 1 unit.
Area of the rectangular figure(A) = 4 * 1 = 4 sq units
Perimeter(P) = 4 + 1 + 4 + 1 = 10 units.
2. In this figure, the longest side has 4 units and the smallest one has 4 units.
Area of the rectangular figure(A) = 4 * 4 = 16 sq units
Perimeter(P) = 4 + 4 + 4 + 4 = 16 units.
3. In this figure, the longest side has 4 units, 3 units, then 2 units the smallest one has 1 unit.
Area of the rectangular figures combinely (A) = 4 * 1 + 2 * 1= 6 sq units
Perimeter(P) = 4 + 3 + 2 + 2 + 1 = 12 units.
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Select the correct answer from each drop-down menu. For the figure shown, point D is a midpoint of , and point J is a midpoint of . A figure shows a double-sided arrow. The points on the left and right arrows are A, B, L, and F, G, H. The points on the upper and lower lines are C, D, E, and K, J, I. Since reflecting the points C, B, A, L, and K across line maps these points onto E, F, G, H, and I, respectively, the opposite angles are congruent. Since reflecting the points L, K, J, I, and H across line maps these points onto B, C, D, E, and F, respectively, the opposite sides and , , and and are congruent.
The first blank is BAL and FGH
The second blank is AL
The third blank is CE and KI
The fourth and final blank is GH
According to the statement
we have given a diagram in which there are some angles and from these angles we have to find that the
Which opposite angles are congruent
The opposite side of AB
With GF angle which angle are congruent
Two angles are which are opposite to each other.
So, from a diagram it is clear that The angles which are congruent with each other is BAL and FGH. Because there positions are perfectly opposite and same to each other.
And The opposite side of AB is AL because it is present at opposite position to each other.
And with GF angle GH are congruent angles.
So, The first blank is BAL and FGH
The second blank is AL
The third blank is CE and KI
The fourth and final blank is GH
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DISCLAIMER: This question is incomplete.Please see the complete question below.
QUESTION:
Select the correct answer from each drop-down menu.
For the figure shown, point D is a midpoint of , and point J is a midpoint in figure.
Since reflecting the points C, B, A, L, and K across line maps these points onto E, F, G, H, and I, respectively, the opposite angles
are congruent. Since reflecting the points L, K, J, I, and H across line maps these points onto B, C, D, E, and F, respectively, the opposite sides are congruent.
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need help answer quick pls
volume of the sphere is 113.1
Problem
4x - 1 = 23 - 2x
Answer:
x = 12
Step-by-step explanation:
4x-1 = 23 - 2x
-2x -2x
2x-1 = 23
+1 +1
2x = 24
x = 12
Look at the following numbers: -10, -5, 0, 5 Which pair of numbers has a sum of 0? (5 points) a -10, 5 b 0, 5 c 5, -5 d -5, 0
Answer:
c) 5, -5
Step-by-step explanation:
5 + (-5)
= 5 - 5
= 0
problem 6: suppose that {fn(x)} and {gn(x)} are uniformly convergent sequences of functions and that both sequences are uniformly bounded. prove that the sequence {fn(x)gn(x)} also uniformly converges.
The sequence \({fn(x)gn(x)}\) uniformly converges, as desired.
To prove that the sequence \({fn(x)gn(x)}\) uniformly converges, we need to show that for every ε > 0, there exists an integer N such that for all n ≥ N and all x in the domain of the functions, |fn(x)gn(x) - [fn(x)gn(x)]_N| < ε.
Since {fn(x)} and {gn(x)} are uniformly convergent sequences, we know that for every ε > 0, there exist integers N1 and N2 such that for all n ≥ N1 and all x in the domain of the functions, |fn(x) - [fn(x)]_N1| < ε/2, and for all n ≥ N2 and all x in the domain of the functions, |gn(x) - [gn(x)]_N2| < ε/2.
Since {fn(x)} and {gn(x)} are also uniformly bounded, there exists a positive constant M such that |fn(x)| ≤ M and |gn(x)| ≤ M for all x in the domain of the functions.
Now, let ε > 0 be given. Choose N = max(N1, N2). Then for all n ≥ N and all x in the domain of the functions, we have:
\(|fn(x)gn(x) - [fn(x)gn(x)]_N|\\= |fn(x)gn(x) - fn(x)[gn(x)]_N + fn(x)[gn(x)]_N - [fn(x)gn(x)]_N| \\= |fn(x)(gn(x) - [gn(x)]_N) + ([fn(x)]_N - fn(x))[gn(x)]_N|\\= |fn(x)(gn(x) - [gn(x)]_N)| + |([fn(x)]_N - fn(x))[gn(x)]_N|\\= |fn(x)| |gn(x) - [gn(x)]_N| + |([fn(x)]_N - fn(x))| |[gn(x)]_N|\\\leq M |gn(x) - [gn(x)]_N| + M |[fn(x)]_N - fn(x)|\)
< M ε/2 + M ε/2
= ε
This shows that the sequence {fn(x)gn(x)} uniformly converges, as desired.
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A square pyramid has a base length of 6 inches and a height of 8 inches.
What is the volume of this pyramid?
Enter your answer in the box.
The volume of the pyramid will be equal to 96 in^3.
We are given that square pyramid has a base length of 6 inches and a height of 8 inches.
Suppose that the height of the pyramid is of h units, then:
\(v = \dfrac{l \times w \times h}{3} \: \rm unit^3\) is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, thus its area is:
\(b = l \times w\: \rm unit^2\)
Therefore, the volume of the pyramid;
V = 1/3 a^2 h
V = 1/3(6^2)(8)
V = 1/3(36)(8)
V = 96 in^3
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(02.02)Angle X measures 110 degrees. If angle X is rotated 60 degrees, what is the measure of angle X'? 00 degree O 60 degrees 0110 degrees O170 degrees
Answer: 110 degrees
Step-by-step explanation:
Rotations are rigid motions and thus preserve angle measure.
the diagonal of a rectangle is 16 inches. if the height of the rectangle is 8 inches. what is the length of the rectangle?
Answer:
Length: 13.9 inches
Step-by-step explanation:
a^2 + b^2 = c^2
a = 8 and c= 16
8^2 + b^2 = 16^2
64 + b^2 = 256
b^2 = 256 - 64
b = sqrt 192
b = 13.9
HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
Use the parallelogram to find m
m
Using the parallelogram law to find m, the value of m is 50°.
What is the parallelogram law?The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.
The parallelogram must have equal opposed sides in Euclidean geometry.
If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = (AC)² + (BD)²
If the parallelogram is a rectangle, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = 2(AC)²
The value of the unknown angles in the parallelogram are as follows:
CED = 180 - (60 + 33 + 37)
CED = 50°
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A bag has 2 red, 3 blue, and 5 green marbles. A marble is randomly drawn from the bag. Select all the correct probabilities.
A. P(red) = 14
B. P(blue or green) = 37
C. P(green) = 12
D. P(not red) = 45
E. P(not green) = P(green)
Answer:
I think it is answer E. because I think it is blue.
Find total marbles:
2 + 3 + 5 = 10
A. There are 2 red, so probability of picking red would be 2 out of 10 which would be 2/5. So A is false.
B. 3 blue + 5 green = 8 marbles. Probability of picking blue or green would be 8 out of 10 which would be 4/5 so B is false.
C. Picking green would be 5 out of 10 which would be 1/2 so c is true.
D. Picking not red would be picking green or blue which is the same as B. Which is 4/5 so D. Is true.
E. Since half the marbles are green and half the marbles are not green this one is also true.
The possibilities are C, D, and E
A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p -value of 0.005. Which of the following is correct?
Please Help with math word problem.
A community drama centre sells tickets to a play. They sell 216 tickets. Adult tickets cost $10.25 and students tickets cost $8. The total number of sales was $2117.25. How many students tickets were sold, how many adult tickets were sold?
Please show me how its done
Will make brainlist, thanks
Answer:
Adult Tickets: 173
Student Tickets: 43
Explanation:
To solve this problem, you'll need to set up a system of equations.Assume a = # of adult tickets soldAssume s = # of student tickets sold2: a + s = 216; 1: 10.25a+ 8s= 2117.25
2: <<As the total number of tickets sold from both sides is equal to 216>>
1: <<Each adults ticket (a) costs $10.25 and each student ticket (s) costs $8, and the total amount of money earned (2117.25) from sales is the combination of these two))>>
Note that there are two ways to solve systems of equations (by elimnation and substitution), in this case I'll use elimnation as substitution requires one of the variables in one of the two equations to be isolated.In this case, I'll elimnate a.a + s = 216
10.25a + 8s = 2117.25
In order to elimnate a, it has to be equal to - 10.25 so that it cancels out + 10.25 (so you have to multiply everything on the first equation by 10.25 ((what you do to one part, you'll do to all the other parts)).-10.25a -10.25s = -2214
10.25a + 8s = 2117.25
a cancels, and now you solve accordingly.-2.25s/-2.25 = -96.75/-2.25
s = 43
You could solve for a using this same method, but it's easier to use the first formula <<a+s=216>> to find a.a + 43 = 216
- 43 -43
a = 173
A speed boat travels 1040 meter in 30 minutes. How far will it go in an hour? *
Answer:
2080 meters
Step-by-step explanation:
An hour is double of 30 minutes so, if you double the length it went you would get how far it goes in an hour, 2080 meters.