Answer:
Your answer would be C
Step-by-step explanation:
Hope I helped!! :)
A study was conducted to compare the proportion of drivers in boston and new york who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in boston was 0. 581 and the proportion wearing seat belts in new york was 0. 832.
z = -2.51 is the required test statistic.
What is the test statistic?A statistic employed in statistical hypothesis testing is known as a test statistic.
A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.
The probability value, or p-value, indicates the likelihood that your data could have been true under the null hypothesis.
This is accomplished by estimating the probability of your test statistic, which is the figure obtained from a statistical analysis of your data.
So, we have to use: Ha: pB < pNY
This implies that the alternative thesis is revised as follows:
Ha: pB - pNY < 0
In contrast to the null hypothesis:
H₀: pB - pNY = 0
This is the test statistic:
z = X - μ/a
Now, pB = 0.581, pNY = 0.832.
It follows that: X = 0.581 - 0.832 = -0.251
The test for the null hypothesis is 0.
This follows to: μ = 0
Standard deviation: 0.1
This follows to: s = 0.1
Test statistic:
z = X - μ/a
z = -0.251-0/0.1
z = -2.51
Therefore, z = -2.51 is the required test statistic.
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Complete question:
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.
Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)
3. Use your knowledge of inverse functions to complete the flowchart. Then explain how
you determined your answer (use academic language for full credit). (2 points)
12
Function h
35
Inverse of
Function h
Inverse functions, in the most general sense, are functions that "reverse" each other. For example, if fff takes aaa to bbb, then the inverse, f^{-1}f−1f, start superscript, minus, 1, end
A box contains 4 red cards, 6 blue cards, and 10 green cards. What is the smallest number of cards we must remove from the box to make sure that we have 2 cards of the same color
To ensure that we have at least 2 cards of the same color, we need to remove 11 cards from the box. The worst-case scenario is when we remove all the cards of one color and one card from each of the other two colors.
In this case, we would have removed a total of 4 red cards, 5 blue cards, and 1 green card, making a total of 10 cards. However, we still wouldn't have 2 cards of the same color.
To guarantee that we have 2 cards of the same color, we need to remove one more card. This could be either a red card or a blue card. Thus, the smallest number of cards we must remove from the box is 11.
By removing 11 cards, we ensure that we have at least 2 cards of the same color, regardless of the specific cards we remove.
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The point ( ¯ 2 , 6 ) is plotted on a coordinate plane. Which statements are true? Select the two statements that are true. A. The reflection point across the y-axis is ( 2 , 6 ) . B. The reflection point across the y-axis is ( 2 , ¯ 6 ) . C. The reflection point across the y-axis is ( ¯ 2 , ¯ 6 ) . D. The reflection point across the x-axis is ( 2 , 6 ) . E. The reflection point across the x-axis is ( 2 , ¯ 6 ) . F. The reflection point across the x-axis is ( ¯ 2 , ¯ 6 ) .
Answer:The two true statements are:
A. The reflection point across the y-axis is (2, 6).
D. The reflection point across the x-axis is (¯2, ¯6).
Step-by-step explanation:
Answer:
The two true statements are:
A. The reflection point across the y-axis is (2, 6).
D. The reflection point across the x-axis is (¯2, ¯6).
Step-by-step explanation:
Find the circumference and area of a circle the radius is 7 meters
Answer: 43.9823
Step-by-step explanation:
The equation to find the circumference is c=2πr. By the “r” in the equation represents the radius. The question says the radius is 7 so you just input the 7 where the “r” is. So 2·π·7=43.9823.
C=2πr=2·π·7≈43.9823
-26a-19-35=-84 . show work!!
Step-by-step explanation:
-26a-19-35=-84
-26a-19+(19)-35=-84+(19)
-26a-35=-65
-26a-35+(35)=-65+(35)
-26a=-30
-26a/26=-30/26
The shape below is made of two rectangles joined together.
3 cm
4 cm
6 cm
6 cm
15 cm
Find the total area of the shape.
Optional working
Answer:
+
cm²
The total area of the shape is equal to 102 cm².
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width of a rectangle.L represents the length of a rectangle.Next, we would determine the area of this irregular shape in parts as follows;
Area of rectangle 1 = 15 × 6
Area of rectangle 1 = 90 cm²
Area of rectangle 2 = 4 × 3
Area of rectangle 2 = 12 cm²
Total area of irregular shape = 90 + 12
Total area of irregular shape = 102 cm²
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Your company obtained a standard reference material for avobenzone from the FDA that contains 0.250mg avobenzone per gram sunscreen. Your working group is creating a new method for detecting avobenzone in sunscreen. You analyze the standard and find it contains 0.256,0.279,0.328,0.305,0.312 and 0.230ug/g of avobenzone. You need to present your findings to your supervisor. Is your new method valid/accurate for the detection of avobenzone in sunscreen at a 95\% confidence level? (show all of your work)
Yes, the new method for detecting avobenzone in sunscreen is valid/accurate at a 95% confidence level.
The standard reference material provided by the FDA contains 0.250 mg of avobenzone per gram of sunscreen. The working group analyzed the standard and obtained measurements of avobenzone content in six samples, which were found to be 0.256, 0.279, 0.328, 0.305, 0.312, and 0.230 µg/g.
To determine the validity and accuracy of the new detection method, we need to assess if the measurements obtained from the samples are within an acceptable range of the known avobenzone content provided by the standard.
At a 95% confidence level, we can calculate a confidence interval to evaluate the accuracy of the new method. The confidence interval is a range within which we can reasonably expect the true avobenzone content of the sunscreen samples to fall. If the known avobenzone content provided by the standard falls within this confidence interval, it indicates that the new method is valid and accurate.
By performing the necessary calculations, we can determine the confidence interval. Comparing the range of the measurements obtained from the samples (0.230 to 0.328 µg/g) with the known avobenzone content provided by the standard (0.250 mg/g), we find that the measurements overlap with the known value. Therefore, we can conclude that the new method is valid/accurate for the detection of avobenzone in sunscreen at a 95% confidence level.
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What is the perimeter of the figure below?*
2 in
9 in
2 in
11 in
Answer:24
Step-by-step explanation:
i think its right just try
Convert 0.396 to a fraction in its simplest form
Alberto started out bench pressing 60 pounds. He then added 5 pounds every week. Determine whether the situation is linear or nonlinear, and proportional or nonproportional
Answer
linear
nonproportional
Step-by-step explanation:
Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.
At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.
Answer:
linear
nonproportional
What’s the answer please tell me
Answer: 3
Step-by-step explanation:
The larger triangle is 5 times the size of the smaller triangle. Notice 6 increased to 30. How? 5x6 = 30, so it increased in size 5 times. The rise of the larger triangle is 15. If we know that 15 is 5 times as large as the smaller rise, then 15 divided by 5 = 3. So the smaller rise is 3
Answer:
Missing rise is 3
Step-by-step explanation:
\(\frac{30}{15} =\frac{6}{x}\\\)
30x=90
x=3
gregory took a test that measured a full scale or total score, a verbal score, and the performance score. he most likely took a(n)
These scores are used to provide an overall measure of an individual's intelligence and cognitive abilities.
Gregory most likely took an intelligence test, specifically the Wechsler Adult Intelligence Scale (WAIS). The WAIS is designed to measure an individual's cognitive abilities and is commonly used in psychological assessments. It consists of a full scale or total score, which is a combination of the verbal score and the performance score. The verbal score measures an individual's language and communication skills, while the performance score measures an individual's ability to solve problems and complete tasks. These scores are used to provide an overall measure of an individual's intelligence and cognitive abilities.
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I NEED HELP ASAP please
Answer: The answer is C
Answer:
C
Step-by-step explanation:
Help me with this please!!
Answer:
258.42 m²
Step-by-step explanation:
Area of the carpet = area of the rectangle + area of the 3 semi circles
Area of rectangle = length × breadth
= 18m × 12m
= 216m²
Area of circle = (ϴ/360)*πr²
π = 22/7 or 3.14
In a semi circle ϴ = 180°
Here the 18m comprises of 6 radii therefore radius of 1 semi circle =
18/6 = 3m
Area of 1 semi circle
= 180/360 × 22/7 × 3²m
= 14.14 m²
Total = 216 + ( 14.14 ×3 ) = 258.42 m²
6. Solve for x.
Х
6
15
Please help
solution
in a right angle triangle all angles are = 90
but since they did not give us any angle, we should know that the two angle that will make up 90 will be 45
so it will be = tan 45 = a
15
15tan45 = a
a = 15
so now x^2 = 15^2 + 6^2
x^2 = 225 + 36
x^2 = 261
x = 16.2
What is the value of k?
k=____
Answer:
2
Step-by-step explanation:
is the value of k
Answer:
2
Step-by-step explanation:
You have a choice to invest in one of three different college funds to save up for college. You need to save at least $14,000 for your first year. In which of the three accounts do you choose to invest your money given that you have $10,000 to invest and you would like to accrue as much interest as possible?
Answer: C) You choose account #2
===================================================
Explanation:
Let's compute the final balance for account 1.
We'll use the compound interest formula
A = P*(1+r/n)^(n*t)
where,
P = principal or amount depositedr = decimal form of the annual interest raten = number of times we compound the interest per yeart = number of yearswhere in this case
P = 10,000r = 0.035 n = 4 t = 10So with all that in mind, we get
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.035/4)^(4*10)
A = 14,169.0883793113
A = 14,169.09
Account #1 gets us $14,169.09 which is over our goal of $14,000
--------------------------
Let's repeat this idea for account 3. I'll get back to account 2 in the next section.
For account 3, we have these inputs
P = 10,000r = 0.032n = 1t = 10leading to...
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.032/1)^(1*10)
A = 13,702.4104633564
A = 13,702.41
This isn't larger than 14,000. So we cannot use account 3. The interest rate is too small and needs to be bumped up.
--------------------------
Now let's compute account 2. We'll use the continuously compounded interest formula which is
A = P*e^(rt)
The P, r and t are the same as before. The 'e' is a constant and it's roughly e = 2.718... similar to how pi = 3.14... approximately.
I recommend using the calculator's stored value of 'e' to get as much accuracy as possible.
So,
A = P*e^(rt)
A = 10,000*e^(0.036*10)
A = 14,333.2941456052
A = 14,333.29
This exceeds 14,000 so we can use this account.
Comparing this to account 1's value (14,169.09), we can see that account 2 gets us the most money over the 10 year time period. Not only does account 2 have the higher interest rate, but it also has an infinitely higher compounding frequency as well. These two factors help contribute as to why account 2 beats out account 1.
This is why we should go for account 2.
Find the volume of the cylinder. Use 3.14 for . Round your answer to the nearest tenth
8in
10in
a.502.4 in3.
b.125.6 in3.
c.2009.6 in3.
d.251.2 in3.
Answer:
the answer would be A
Step-by-step explanation:
Answer:
answer is a
Step-by-step explanation:
I just answer it on edge
in friedman's test for a randomized block design, what is the correct alternative hypothesis? group of answer choices ha: not all the sample means are equal ha: all the medians are equal ha: not all the medians are equal ha: all sample means are equal
In Friedman's test for a randomized block design, the correct alternative hypothesis is a. ha: not all the sample means are equal
The Friedman's test is a non-parametric statistical test used in randomised block designs, where the same individuals are evaluated under various circumstances or at various times, to compare three or more similar groups or treatments. In Friedman's test, the alternative hypothesis (Ha) argues that certain sample means are not equal to all other sample means,
Whereas in the test, null hypothesis (H0) states that all sample means are equal. In other words, the alternative hypothesis takes into account the likelihood of such differences and Friedman's test is used to assess if there are any statistically significant variations in the mean rankings of the groups or treatments.
Complete Question:
In friedman's test for a randomized block design, what is the correct alternative hypothesis?
a. ha: not all the sample means are equal
b. ha: all the medians are equal
c. ha: not all the medians are equal
d. ha: all sample means are equal
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Jared bought 7 cans of paint. A can of red paint costs $3. 75. A can of red paint costs $2. 75. Jared spent $22 in all. How many cans of red and black paint did he buy?
Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.
He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.
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What is the zero of the function represented by this graph?
Answer:
B
Step-by-step explanation:
Mat question please help me
Step-by-step explanation:
A D G B E C F
these are least to greater
The campers asked their counselor to tell them her ag. She replied, "If you add 4 years to my present age, the result will be 2 times my campers. Five years ago my age was 3/4 of what hers will be in eight years. How old is the counslor?
To determine the age of the counsellor, we can set up a system of equations based on the given information. By solving the equations simultaneously, we find that the counsellor is currently 28 years old.
Let's denote the counsellor's present age as x and the campers' age as y. Based on the given information, we can set up the following equations:
Equation 1: x + 4 = 2y
Equation 2: x - 5 = (3/4)(y + 8)
To solve this system of equations, we can substitute the value of x from Equation 1 into Equation 2:
(2y - 4) - 5 = (3/4)(y + 8)
2y - 9 = (3/4)(y + 8)
Multiplying both sides by 4 to eliminate the fraction:
8y - 36 = 3y + 24
5y = 60
y = 12
Substituting the value of y back into Equation 1:
x + 4 = 2(12)
x + 4 = 24
x = 20
Therefore, the counsellor is currently 28 years old.
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if I had matrix [1 2 0 -1 -3 2 ; 0 0 1 3 -3 1; 0 0 0 1 -1/6 1/2; 0 0 0 0 1 3/11; 0 0 0 0 0 0]. i need to find the general solution of the systemI was given a system of linear equations and told to put it in reduced row echelon form and then find the general solution of the system. I'm not sure how to write each x1 = , x2=
With the given matrix, the system of equations you have is:
\(\begin{gathered} x_1+2x_2-x_4-3x_5=2 \\ x_3+3x_4-3x_5=1 \\ x_4-\frac{1}{6}x_5=\frac{1}{2} \\ x_5=\frac{3}{11} \end{gathered}\)Then, you already know x5=3/11.
Now replace these value in the equation above and solve for x4:
\(\begin{gathered} x_4-\frac{1}{6}\cdot\frac{3}{11}=\frac{1}{2}^{} \\ x_4-\frac{3}{66}=\frac{1}{2} \\ x_4-\frac{1}{22}=\frac{1}{2} \\ x_4=\frac{1}{2}+\frac{1}{22} \\ x_4=\frac{22+2}{44}=\frac{24}{44} \\ x_4=\frac{6}{11} \end{gathered}\)Now, replace x4 and x5 into the next above equation:
\(\begin{gathered} x_3+3\cdot\frac{6}{11}-3\cdot\frac{3}{11}=1 \\ x_3+\frac{18}{11}-\frac{9}{11}=1 \\ x_3+\frac{9}{11}=1 \\ x_3=1-\frac{9}{11}=\frac{11-9}{11} \\ x_3=\frac{2}{11} \end{gathered}\)The demand function Q and cost function C(Q) of a commodity are given by the equations Q=20−0,01P C(Q)=60+6Q where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is a. TR=20−0,01P. b. TR=P(120−0,01P2) c. TR=20P−0,01P2. d. TR=P2(20−0,01P2) If the production function is given by Q=300L−4L where Q denotes output and L denotes the size of workforce, calculate the value of marginal product of labour if L=9. a. 11 b. 16 c. 46 d. 146 A firm has the following total and cost functions: TR=20Q−4Q2TC=16−Q2 where Q is the number of unites produced and sold (in thousands). How many units should be produced to maximise the profit? a. 3,333 units. b. 1,714 units. c. 1,333 units. d. 3333 units.
We can conclude that there is no profit-maximizing level of production, and the correct option is e.
None of the above.
Part A The given demand function of a commodity is Q = 20 - 0.01P, and the given cost function is C(Q) = 60 + 6Q.
We need to find out the total revenue function TR in terms of P.
Now, the total revenue is calculated by the multiplication of price and quantity.
Therefore, we can write that TR = P × QSubstituting the value of Q from the demand function, we get;TR = P (20 - 0.01P)TR = 20P - 0.01P²
Therefore, the correct option is c. TR = 20P - 0.01P².
Part BWe are given a production function that is Q = 300L - 4L, where L denotes the size of workforce.
We need to find out the value of the marginal product of labor when L = 9.
Marginal product of labor (MPL) can be calculated as the derivative of the production function with respect to L.
Therefore, we get;MPL = dQ/dL= 300 - 8LNow, substituting the value of L = 9, we get;MPL = 300 - 8(9)MPL = 300 - 72MPL = 228Therefore, the correct option is d. 228Part C
The given total revenue function is TR = 20Q - 4Q², and the given total cost function is TC = 16 - Q²/3.
We know that profit (π) can be calculated as π = TR - TC
Substituting the given values, we get;π = 20Q - 4Q² - (16 - Q²/3)π = -4Q² + (20 - Q²/3)π = -4Q² + 60/3 - Q²/3π = -13Q²/3 + 20Now, we can find the optimal value of Q by differentiating the profit function with respect to Q and equating it to zero.
Therefore, we get;dπ/dQ = -26Q/3 = 0Q = 0
Therefore, we can conclude that there is no profit-maximizing level of production, and the correct option is e.
None of the above.
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which of the following is not influenced by stream velocity? discharge suspended load dissolved load abrasion bed load
The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.
Which of the following is not influenced by stream velocity?Dissolved loadStream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.
Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:
The suspended load is made up of small particles that are carried along in the water column. The bed load consists of larger particles that are moved along the bottom of the streambed. And the dissolved load is made up of particles that are carried in solution.Learn more about Erosion: https://brainly.com/question/17905503
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Solve the equation for x.
−0.18x − 13.7 = 2.41
-89.5
Step-by-step explanation:
# -0.18x = 2.41 + 13.7 add both side by 13.7
# -0.18x = 16.11
# -0.18x / - 0.18 = 16.11 / -0.18
# x = -16.11 / 0.18 × 100 /100
# x = -1611/18
#x = -89.5
Carmen wants to know the favorite lunch menu among 6th grade students. Which types of survey below would give Carmen valid results?
A) randomly survey students in the middle school
B) randomly survey sixth grade teachers
C) randomly survey sixth grade boys
D) Randomly surveys sixth grade students
Answer:
D
Step-by-step explanation:
Randomly surveying sixth grade students would give the most accurate result, as randomly surveying students in middle school wouldn't just be limited to 6th graders, sixth grade teachers would not be relevant as Carmen wants to know the favorite lunch menu amount 6th grade students, sixth grade boys would only include a certain gender, which is not the focus of the study. Therefore, D would be the best choice
Answer/ Step-by-step explanation: The answer is definitely D.) Randomly surveys sixth grade students
Which of the following Which of the following statements is true about the graphs of f(x)=x and g(x)=f(x+7)?statements is true about the graphs of f(x)=x and g(x)=f(x+7)?
A statement which is true about the graphs of f(x) = x and g(x) = f(x + 7) is: C. g(x) is the graph of f(x) translated 7 units to the left.
What is a translation?In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
In Geometry, g(x + 7) or g(x) = f(x + 7) simply means shifting a graph 7 units to the left as illustrated by the graph shown in the image attached below.
In this context, we can reasonably infer and logically deduce that the parent function f(x) = x was shifted by 7 units to the left.
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Complete Question:
Which of the following statements is true about the graphs of f(x)=x and g(x)=f(x+7)?
A. g(x) is the graph of f(x) translated 7 units down.
B g(x) and f(x) have the same y-intercept.
C g(x) is the graph of f(x) translated 7 units to the left.
D g(x) is the graph of f(x) translated 7 units to the right.