Answer:
The point B is a reflection of point A across which axis?
Choose 1 answer:
(Choice A)
The x-axis
(Choice B)
The y-axis
(Choice C)
Both the x-axis and the y-axis
An experimenter has prepared a drug dosage level that she claims will induce sleep for 80%of people suffering from insomnia. After examining the dosage, we feel that her claims regarding the effectiveness of the dosage are inflated. In an attempt to disprove her claim, we administer her prescribed dosage to 20 insomniacs and we observe Y , the number for whom the drug dose induces sleep. We wish to test the hypothesis H0 : p = .8 versus the alternative, Ha : p < .8. Assume that the rejection region {y ≤ 12} is used.
a In terms of this problem, what is a type I error?
b Find α.
c In terms of this problem, what is a type II error?
d Find β when p = .6.
e Find β when p = .4.
A type I error occurs when we reject the null hypothesis (H0) when it is actually true.
b) The significance level (α) is the probability of making a type I error. Since the rejection region is {y ≤ 12} and the null hypothesis is p = 0.8, we need to find the probability of getting a sample proportion (y/20) less than or equal to 0.6 (12/20) under the null hypothesis. Using a normal approximation to the binomial distribution, we have:
z = (0.6 - 0.8) / sqrt(0.8 * 0.2 / 20) ≈ -1.79
From a standard normal distribution table, we find that the area to the left of z = -1.79 is approximately 0.0367. Therefore, α = 0.0367 or 3.67%.
c) A type II error occurs when we fail to reject the null hypothesis (H0) when it is actually false.
d) To find β when p = 0.6, we need to find the probability of not rejecting the null hypothesis (H0: p = 0.8) when the true proportion is p = 0.6. Using a normal approximation to the binomial distribution, we have:
z = (0.6 - 0.8) / sqrt(0.8 * 0.2 / 20) ≈ -1.79
We want to find the probability that z is greater than -1.79, which is the area to the right of z = -1.79 under the standard normal distribution. From a standard normal distribution table, we find that the area to the right of z = -1.79 is approximately 0.9637. Therefore, β ≈ 0.9637.
e) To find β when p = 0.4, we again need to find the probability of not rejecting the null hypothesis (H0: p = 0.8) when the true proportion is p = 0.4. Using a normal approximation to the binomial distribution, we have:
z = (0.4 - 0.8) / sqrt(0.8 * 0.2 / 20) ≈ -3.58
We want to find the probability that z is greater than -1.79, which is the area to the right of z = -3.58 under the standard normal distribution. From a standard normal distribution table, we find that the area to the right of z = -3.58 is approximately 0.9997. Therefore, β ≈ 0.9997.
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What is the domain of this function? f(x)= neg 1 4 |2x+1|-1 . (- ∞, - 1/2] B. (- ∞, ∞) . (- ∞, - 1/4] D. [1/4, ∞)
It is a letter or symbol which represents a number
Answer:
A letter or symbol that represents a specific number, known or unknown is called a constant.
Step-by-step explanation:
if it helped u please mark me a brainliest :-/
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Is there a solution YES OR NO AND WHAT IS THE SOLUTION?
Answer:
Yes
Step-by-step explanation:
So start with (0,1) the y intercept and make the first point at (0,1)
Think of m ( the slope) as the mountain slope, This is the angle of the slope of the line
So in this case go up three on the y axis and over 1 on the x axis.
make the next point at 1 + 3 = 4 for the y value and 0 + 1 = 1 for the x value. Make the next point at ( 1, 4)
Now connect the points. creating the line
hope this helps!
please help ill mark brilliant
Answer:
2Step-by-step explanation:
Look at the picture.
reciprocal of-1 is ............
a)0
b) 1
c)-1
d)noneofthis
For BRAINLY please help fast I have a D in the class haha
Answer:
yes
Step-by-step explanation:
it is possible to be an isoscelize triangle
pls mark brainliest
Answer:
I think yes
Step-by-step explanation:
because the two sides that are bigger can be the ones with the lenght of 8
and the one in the bottom can be the one with the lenght 1
hope this helps <33
have a nice day :)
in the accompanying figure of circle o the measure of ac is 84 what is the measure of abc
Check the picture below.
Help I'm terrible at math
What is the solution to this inequality?
7−14x>3
Answer:
I think the answer is x<2/7
Step-by-step explanation:
That's what i got.
Answer:
Step-by-step explanation:
x<2/7
whats the measure of angle E ?
Answer:
57degrees
Step-by-step explanation:
The triangle is an isosceles triangle, hence m<D = m<E (base angles are equal)
Taking the sum of the angles and equating to 180
5x-4 + 4x+1 + 4x+1 = 180
5x+4x+4x-4+1+1 = 180
13x - 2 = 180
13x = 180 + 2
13x = 182
x =182/13
x = 14
Get m<E
m<E = 4x+ 1
m<E = 4(14)+ 1
m<E = 56+1
m<E = 57degrees
Hence the measure of m<E is 57degrees
HELP PLSS!! TYYY picture below
A child received 10 building blocks for Christmas. Each block is either 1
inch or 3 inches wide. The child places them next to each other to make a
line 18 inches long. Which system of equations can be used to determine x,
the number of 1-inch-wide blocks in the line, and y, the number of 3-inch-
wide blocks in the line?
C
x + y = 18
x + 3y = 10
x + y = 10
x + 3y = 18
8:2
x + y = 10
3x + y = 18
4
x + y = 18
3x + y = 10
7 points
The system of equations that can be used to determine a and y are
x+ y=10
x+3y=18
What is meant by an equation?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. In English, an equation is defined as a properly written formula that consists of two expressions joined by an equals sign, while cognates of the word in other languages may have slightly different meanings. An equation, for instance, is said to have one or more variables in French.
Determine which values of the variables result in the equality to be true in order to solve an equation with variables. The values of the variables that must fulfill the equality to constitute the answer are known as the unknowns, together with the variables for which the equation must be solved.
Let x be the number of blocks of one inch
And y be the number of three inch blocks
The number of blocks must be 10
Therefore, x+y=10
The length of the line is 18 inches long.
So, x+3y=18
Therefore, x+ y=10
x+3y=18
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find the value of x pls help
Answer:
x = 15°
Step-by-step explanation:
First Identify the angle of x by subtracting 180° - 120° = 60°
Always remember when you see a straight line the line measures 180°
So the angle of x = 60° but not the value of x so use the given equation to find the value of x
3x + 15 = 60°
3x - 15 = -15°
3x = 45
x = 15°
pls help i cant find
Answer:
Let's see the first two points: (-7, 5) and (-5, 9)
The line passes these points has a form of: y = Mx + b
=> 5 = (-7)M + b
9 = (-5)M + b
Subtract the 1st equation from 2nd equation, we have:
4 = 2M
=> M = 2
Substitute M back into 1st equation:
=> 5 = (-7)*2 + b
=> b = 19
=> y = 2x + 19
or y - 5 = 2x + 14
or y - 5 = 2(x + 7)
=> Option A is correct
Hope this helps!
:)
Answer:
A
Step-by-step explanation:
The difference between the values of y are constant, that is
17 - 13 = 13 - 9 = 9 - 5 = 4
This indicates the relationship is linear.
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table
m = \(\frac{9-5}{-5+7}\) = \(\frac{4}{2}\) = 2
Use any ordered pair from the table for (a, b)
Using (a, b) = (- 7, 5), then
y - 5 = 2(x - (- (- 7)) , that is
y - 5 = 2(x + 7) → A
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply.
StartFraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) EndFraction
The coefficient of the solution is 6.4, the difference of the original coefficients.
The exponent of the solution is –12, the difference of the original exponents.
The coefficient of the solution must be greater than or equal to one but less than 10.
The quotient is 3.0 × 10-12
The solution is a very large number.
Answer:
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 ×
Step-by-step explanation:
The answer is B, C, D :)
Thanks to the person above me have a good day
Correct on edge 2022 :).
For FGH shown below, which of the following is an expression for y in terms of x?
Answer:
E
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
y² = x² + 4²
y² = x² + 16 ( take the square root of both sides )
y = \(\sqrt{x^2+16}\) → E
For Triangle FGH Value of y in terms of x will be \(\sqrt{x^2 + 16}\) .
What is the Pythagorean theorem?The Pythagorean Theorem demonstrates how the side lengths of a right triangle can be calculated from the sum of the areas of three intersecting squares. This theorem is a very helpful tool that serves as the foundation for more intricate trigonometry ideas like the Pythagorean theorem's opposite.
Given, For FGH shown in figure Hyppotaneus of the triangle is y meters, the base of the triangle is x meters and the height of the triangle is 4 meters. From Pythagorean theorem
y² = x² + 4²
y² = x² + 16
y = \(\sqrt{x^2 + 16}\)
Therefore, the Value of y in terms of x for Triangle FGH will be \(\sqrt{x^2 + 16}\).
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fair dice. consider one set of tosses of two fair 4 sided die. c. what are the odds (probability) of each outcome for tossing a pair of dice?
When considering a set of tosses of two fair 4-sided dice, there are a total of 16 possible outcomes. Each die has four possible outcomes, and since there are two dice, we multiply 4 by 4 to get 16.
The probability of rolling any specific outcome is 1/16. This is because each outcome is equally likely to occur, and there are 16 total outcomes.
To calculate the probability of rolling a specific total, we can create a table of all the possible outcomes and their corresponding totals. For example, if we roll a 1 on both dice, the total would be 2. If we roll a 2 and a 3, the total would be 5.
Once we have the table, we can count how many times each total occurs and divide by the total number of outcomes (which is 16). This will give us the probability of rolling each total.
For example, there is only one way to roll a total of 2 (rolling two 1's), so the probability of rolling a total of 2 is 1/16. There are three ways to roll a total of 5 (1+4, 2+3, and 3+2), so the probability of rolling a total of 5 is 3/16.
In summary, the probability of each outcome when tossing a pair of fair 4-sided dice is 1/16, and the probability of each total can be calculated by creating a table and counting the number of times each total occurs.
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NPV?
Mars Incorporated is interested in going to market with a new fuel savings device that attaches to electrically powered industrial vehicles. The device, code named "Python," promises to save up to 15%
NPV (Net Present Value) is a widely-used financial calculation method that is used to determine the present value of an expected series of future cash flows. It is used in capital budgeting, which is the process of deciding which investments to make in a company. NPV is calculated by subtracting the initial cost of an investment from the present value of its expected future cash flows.
If the NPV is positive, then the investment is expected to be profitable. If it is negative, then the investment is not expected to be profitable. Mars Incorporated is considering launching a new fuel savings device called "Python" that attaches to electrically powered industrial vehicles and promises to save up to 15%. They need to evaluate whether it is a good investment. They will need to estimate the cash flows associated with the investment and discount them back to their present value using an appropriate discount rate.
The difference between the present value of the expected cash flows and the initial investment is the net present value (NPV). If the NPV is positive, then the investment is expected to be profitable, and Mars should go ahead with it. If the NPV is negative, then the investment is not expected to be profitable, and Mars should reconsider its decision. To calculate NPV, you first need to estimate the cash flows associated with the investment. This includes the initial cost of the Python device, the savings from fuel costs, and any additional expenses associated with the device. Once these cash flows have been estimated, they need to be discounted back to their present value using an appropriate discount rate. The discount rate is typically the cost of capital for the company. If the NPV is positive, it means that the present value of the expected cash flows is greater than the initial investment, and the investment is expected to be profitable. If the NPV is negative, then the present value of the expected cash flows is less than the initial investment, and the investment is not expected to be profitable.
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The director of a local ballet company needs to print the programs for the next performance. Janet’s Print Shop charges $0.25 per program plus a $35 set-up fee. The Printing Press charges $0.15 per program plus a $50 set-up fee. Which printing company offers the better deal if 200 programs are printed? Explain your reasoning. Find the number of programs for which the total costs are the same. Explain how you determined the number of programs.
Answer:
Printing press
Step-by-step explanation:
Janet's print shop - 0.25*200=50+35=85
Printing press - 0.15*200=30+50=80
Find the x value where the function g (x) = xe^-2x attains a local maximum. Enter the exact answer. If there is none, enter NA. The local maximum is x= _____
Answer: x = 1/2
We can find the local maximum of the function g(x) by finding the critical points and checking the sign of the derivative around those points.
g(x) = xe^(-2x)
g'(x) = e^(-2x) - 2xe^(-2x) = e^(-2x)(1-2x)
To find the critical points, we set g'(x) = 0:
e^(-2x)(1-2x) = 0
This equation is satisfied when 1 - 2x = 0, or x = 1/2.
To check whether this is a local maximum or not, we need to examine the sign of the derivative in the interval (0, 1/2) and (1/2, infinity).
For x < 1/2, g'(x) is positive, since e^(-2x) is always positive and 1 - 2x is negative. Therefore, g(x) is increasing in this interval.
For x > 1/2, g'(x) is negative, since e^(-2x) is always positive and 1 - 2x is positive. Therefore, g(x) is decreasing in this interval.
Therefore, x = 1/2 is a local maximum of g(x).
Answer: x = 1/2
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• Chocolate bars were sold for $2 each.
• Boxes of candy were sold for $1.50 each.
• The soccer team sold 168 items in total.
of the items sold, 3/4 were chocolate bars and the remaining items were boxes
candy.
How much money did the soccer team raise from the boxes of candy that were sold?
Answer:
63
Step-by-step explanation:
1/4 of 168 is 42 which is how many Boxes of Candy they sold
42 x 1.50 = 63
Answer:
From the sale of boxes of candy, the team made $63
Explanation:
We know that 3/4 of the sold items were chocolate bars. A fast trick to find 3/4ths, or 75%, of a number is to multiply it by 3 and divide by 4.
168 * 3 = 504
504 ÷ 4 = 126
Now, we do 168 - 126 to find the number of candy boxes.
168 - 126 = 42
So, the soccer team sold 42 boxes of candy. Since each box was $1.50, we just multiply
42 * 1.50 = 63
The soccer team made $63 dollars by selling candy boxes.
Note: This is just my way that I did quickly, there are many many other ways to do this. Try to find what's best for you.
Find the interest on the following loan. $6000 at 8% for 6 months Find the future value of the loan. Assume 365 days in a year. $9275 at 7.57% annual simple interest for 13 months
The future value of the loan is approximately $10,070.29.
To find the interest on the loan, we can use the formula:Interest = Principal × Rate × Time
Given:
Principal (P) = $6000
Rate (R) = 8% per year (0.08 as a decimal)
Time (T) = 6 months (0.5 years)
Plugging in the values into the formula:
Interest = $6000 × 0.08 × 0.5 = $240
Therefore, the interest on the loan is $240.
To find the future value of the loan, we can use the formula for simple interest:
Future Value = Principal + Interest
Given:
Principal (P) = $6000
Interest = $240
Plugging in the values into the formula:
Future Value = $6000 + $240 = $6240
Therefore, the future value of the loan is $6240.
For the second scenario:
Given:
Principal (P) = $9275
Rate (R) = 7.57% per year (0.0757 as a decimal)
Time (T) = 13 months (13/12 years)
To find the interest, we can use the same formula:
Interest = Principal × Rate × Time
Plugging in the values into the formula:
Interest = $9275 × 0.0757 × (13/12) = $795.29
Therefore, the interest on the loan is approximately $795.29.
To find the future value of the loan, we can use the same formula as before:
Future Value = Principal + Interest
Plugging in the values into the formula:
Future Value = $9275 + $795.29 = $10,070.29
Therefore, the future value of the loan is approximately $10,070.29.
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a new shopping mall is gaining in popularity. every day since it opened, the number of shoppers is 5% more than the number of shoppers the day before. about how many total shoppers would be expected after 10 days, if there were 100 shoppers on the first day?
After 10 days, the expected number of shoppers at the shopping mall is 163.
It is given that the number of shoppers increases daily by 5% from the number of shoppers the previous day.
As we can see that the increase in the number of shoppers is going to change every day, and the above case is compounded daily.
The formula of compound increase is
Amount = Base X (1 + r/n)ⁿˣ
where,
Base = original amount
r = rate of change
n = no. of times the change occurs in the time period
t = time
Here,
Base = 100
r = 5/100
n = 1, since it changes once every day
x = 10
Therefore we get
100 X (1 + 5/100)¹⁰
= 100 X 1.05¹⁰
162.88
Since the number of people cannot be in decimal,
the expected number of people is 163
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Find the area of the trapezoid. {?} Square centimeters
Answer:
68
Step-by-step explanation:
Use the formula provided...
6 and 11 are b1 and b2, and 8 is h.
So, 6+11 = 17
17/2 = 8.5
8.5*8 = 68
A group of volunteers for a clinical trial consists of 123 women and 178 men. 54 of the women and 46 of the men have high blood pressure. If one of the volunteers is selected at random find the probability that the person is a man given that they have high blood pressure.
The probability that a person is a man given that they have high blood pressure is 0.46 or 46%.
We are given that there are 123 ladies and 178 men within the bunch of volunteers for a clinical trial, and 54 of the ladies and 46 of the men have tall blood weights.
We are inquired to discover the likelihood that an arbitrarily selected volunteer who has a tall blood weight may be a man.
Let M be the occasion that a volunteer could be a man,
and H be the occasion that a volunteer has a tall blood weight.
We need to discover P(M|H), the likelihood that a volunteer could be a man given that they have tall blood weight.
By Bayes' hypothesis, we have:
P(M|H) = P(H|M) * P(M) / P(H)
Ready to find the probabilities on the right-hand side of this condition as taken after
P(H|M) = 46/178, the likelihood that a man has a tall blood weight
P(M) = 178/(123+178), the likelihood that a volunteer may be a man
P(H) = (54+46)/(123+178), the likelihood that a volunteer has tall blood weight
Substituting these values into the condition, we get:
P(M|H) = (46/178) * (178/(123+178)) / ((54+46)/(123+178))
P(M|H) = 46/100
P(M|H) = 0.46
Therefore, the likelihood that a haphazardly(randomly) chosen volunteer who has high blood weight could be a man is 0.46 or 46%.
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what is the y-intercept from the following?
Answer:
the y intercept is -3
Step-by-step explanation:
if you need an explanation lmk!
Answer:
y- intercept = - 3
Step-by-step explanation:
The y- intercept is where the line crosses the y- axis.
This occurs when the x- coordinate is zero
From the table
when x = 0 , then y = - 3 ← y- intercept
what are the portfolio weights for a portfolio that has 135 shares of stock a that sell for $84 per share and 110 shares of stock b that sell for $82 per share? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.1616.) portfolio weight stock a % stock b %
The portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.
To calculate the portfolio weights for stock A and stock B, we need to determine the total value of the portfolio and the proportion of each stock's value within that total.
The total value of the portfolio can be calculated as follows:
Total value = (Number of shares of stock A × Price per share of stock A) + (Number of shares of stock B × Price per share of stock B)
Total value = (135 × $84) + (110 × $82)
Total value = $11,340 + $9,020
Total value = $20,360
Now, we can calculate the portfolio weights for each stock:
Weight of stock A = (Value of stock A ÷ Total value) × 100%
Weight of stock A = (($84 × 135) ÷ $20,360) × 100%
Weight of stock A = $11,340 ÷ $20,360
Weight of stock A ≈ 0.5569 or 55.69%
Weight of stock B = (Value of stock B ÷ Total value) × 100%
Weight of stock B = (($82 × 110) ÷ $20,360) × 100%
Weight of stock B = $9,020 ÷ $20,360
Weight of stock B ≈ 0.4431 or 44.31%
Therefore, the portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.
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While Brian traveled, the pilot taught him
O how to steer a Cessna 406
O how to fill the gas tank on the Cessna 406
O how to read the instrument panel on the Cessna 406
While Brian traveled, the pilot taught him A. how to steer a Cessna 406.
What is a Cessna 406?The Cessna 406 is a twin-engine aircraft that is commonly used for various purposes, such as air ambulance services, freight transport, and surveillance operations. Steering the aircraft is an essential skill that any pilot must learn in order to control the aircraft's direction of flight.
Learning how to steer a Cessna 406 would be an important skill for Brian to acquire if he was planning to become a pilot or work in the aviation industry.
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classify the following triangle. check all that apply
Answer:
Options (A), (B)
Step-by-step explanation:
Option A.
Two sides of the given triangle are equal. Therefore, the given triangle is an isosceles triangle.
Option (B).
Given triangle has a right angle. Therefore, it's a right triangle.
Option (C).
Only two sides of the given triangle are equal. Therefore, it's not an equilateral triangle.
Option (D).
Although this triangle has two acute angles (less than 90°) but the third angle is 90°. Therefore, this triangle is not an acute triangle. It's a right triangle.
Option (E).
A scalene triangle is a triangle having all sides different in measure but the given triangle is an isosceles triangle. Therefore, it's not a scalene.
Option (F).
Any angle of this triangle is not more than 90°. Therefore, the given triangle is not an obtuse triangle.
A school is arranging a field trip to the zoo. The school spends 567.68 dollars on passes for 28 students and 4 teachers. The school also spends 238.28 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
$26.25 is the answer I believe
Giving brainliest, please help!
Answer:
\(54in^{3}\)
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
A= lwh
So we just plug in those values.
A= 3*3*6
A= 9*6
A= 54in^3