You may need to use the appropriate appendix table or technology to answer this question Automobiles manufactured by the Efficiency Company have been averaging 43 miles per gation of gasoline in highway driving. It is believed that its new automobiles average more than 43 miles per gallon. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 44.5 miles per galian with a standard deviation of 1 miles per gaten. (a) With a 0.05 level of significance using the critical value approach, test to determine whether or not the new automobiles actually do average more than 43 miles per ga State the null and alternative hypotheses (in miles per gation). (Enter te for as needed.) H₂² H₂ Compute the test statistic 3 x Determine the critical value(s) for this test. (Round your answer(s) to three decimal places. If the test is one-tated, enter NONE for the unusta) test statistics a test statistic 23 State your conclusion O Reject H There is sufficient evidence to conclude that the new automobiles actually do average more than 43 miles per gallon Do not reject He. There is insufficient evidence to conclude that the new automobiles actually do average meve than 43 miles per gallon Reject H. There is insufficient evidence to conclude that the new automobiles actually do average more than 43 miles per gan Do not reject H There is sufficient evidence to conclude that the new automobiles actually do average more than 43 mis per gan (b) What is the p-value associated with the sample results? (Round your answer to four decimal places) p-value- ion based on the p-value?

Answer:

The answer is "Do her friends have accounts at the same bank?"

Step-by-step explanation:

In this question, the above given-choice is correct because the account on the same bank has certainly, but when a retirement fund in a company is concerned, you could only have a savings account on their behalf, and the mutual funds must then be distributed, and these several savings accounts can be opened is by tracking the amount they need to save for every savings target.

It's not the complete question

Answer:

Divide

Step-by-step explanation:

Given: point (-2, 7)

The given line is perpendicular to the line we are to find.

For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the other slope.

slope of the line perpendicular to the given line = negative reciprocal of the slope

slope = 1/2

reciprocal of the slope = 2/1 = 2

negative reciprocal = -2

2nd slope = -2

To get the equation of line with slope -2, we will use the point given:

Th equation of line Perpendicular to the line -4y + 2x = -3 that passed through the point (-2, 7):

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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Answer:

1.000000000000012e+16

Step-by-step explanation:

uh

9 cm cm cm cm cm cm cm cm cm cm cm cm cm

Answer:

\(x = \sqrt{11}\)

Step-by-step explanation:

\(a^{2} +b^{2} =c^{2} \\\\\sqrt{6} ^{2} +\sqrt{5} ^{2} =c^{2} \\\\6 + 5 = c^{2} \\\\11 = c^{2} \\\\\sqrt{11} = c\)

By answering the presented question, we may conclude that As a result, exponential about 739 banana plants in the plantation will be affected with the blight after 9 years.

The word "exponential growth" refers to the process of increasing quantity through time. When the instantaneous rate of change of a quantity with respect to time is proportional to the quantity, this is said to be proportional to the quantity. Exponential growth is a statistical pattern in which bigger gains are seen with time. Compound interest delivers exponential rewards in the world of finance. Savings accounts with compound interest can occasionally experience exponential growth. characterised by a rapid increase in the exponential growth rate (in size or extent). exponentially. The exponential function formula is f(x)=abx, where a and b are positive real values. Draw exponential functions for various values of a and b using the tools provided below.

To tackle this problem, we may apply the exponential growth formula:

\(N = N0 * (1 + r)^t\)

Where N0 is the initial number of infected plants (476)

r = rate of increase (5% = 0.05)

t = time span (9 years)

When we plug in the values, we get:

\(N = 476 * (1 + 0.05)^9 \sN = 476 * 1.55128 \sN = 738.94\)

When we round to the next full number, we get:

N ≈ 739

As a result, about 739 banana plants in the plantation will be affected with the blight after 9 years.

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Answer:

240

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

60 = 1/2 XZ

Multiply each side by 2

120 = XZ

But we want XYZ

XZ + XYZ = 360

120 + XYZ = 360

XYZ = 360 -120

XYZ = 240

Answer:

\(n=3.875\)

Step-by-step explanation:

First, we can expand the brackets:

\(-(5n-9)+3n=-2(5n-20)\) (given)

\(-5n+9+3n=-10n+40\)

\(-2n+9=-10n+40\) (combine like-terms)

\(8n=31\)

\(n=3.875\)

Hope this helps :)

Answer:

answer and explanation in the pics above

hope it helps

Answer:

well it looks equal to 15 cm so its probably 15 cm

Give brainliest :)

Answer:

The cost of one T-shirt is £4

The cost of a hat is £1

Step-by-step explanation:

The code sorts the skill array in ascending order.

It then creates a HashMap to store the number of occurrences of each skill level. The left and right pointers are initialized to point to the first and last elements of the skill array. The result variable is used to store the sum of the effectiveness of all teams that can be created. The code then iterates through the skill array using the left and right pointers. If both pointers point to skills that have more than one occurrence, then two of each skill are used to create the team, and effectiveness is added to the result.

If only one pointer points to a skill with more than one occurrence, then one instance of that skill is paired with one instance of the other skill to form a team. Otherwise, if both pointers point to skills that have only one occurrence, then one instance of each skill is used to create the team. In any case, when a team is created, the HashMap is updated accordingly.

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Answer:

-2°C is the answer

Step-by-step explanation:

Hope this helps:)

Answer:

A. Angle 1 and Angle 7

Step-by-step explanation:

Those two are the only angles that when added up, the sum is 180.

Angle 7 and Angle 2 are also congruent, so if Angle two forms a straight line with Angle 1, Angle 7 should be able to do that too.

Answer:

Step-by-step explanation:

A

Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

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When a point has a defined derivative, the point is where a function can be differentiated.

What is differentiable function?

Calculus functions in one variable that have a derivative at every point in their domain are said to be differentiable functions. At every interior point within the domain of a differentiable function, the tangent line to the graph is invariably non-vertical.

No break, cusp, or angle exists in a differentiable function. Continuous functions are never differentiable, but differentiable functions can never be continuous.

If the derivative of a function exists at every point within its domain, the function is said to be differentiable. In particular, f′(a) exists in the domain if a function f(x) is differentiable at x = a.

When a point has a defined derivative, the point is where a function can be differentiated. This indicates that the tangent line's slope from the points on the left is getting close to matching the tangent line's slope from the points on the right.

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0.38 is 7/18 (filling space)

Answer:

0.388888889

Step-by-step explanation:

Answer:

The question is not biased

The sample is biased because it does not represent the population of customers at the lawn and garden store

Step-by-step explanation:

I just took the test :)

The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

For the 250 random customers who bought perennial flowers. The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.

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The probability that the chosen integer is a perfect square or a perfect cube but not both is therefore 13/100.

When choosing an integer from 1 to 100, there are 10 perfect squares (1² to 10²) and 4 perfect cubes (1³ to 4³). However, the number 1 is both a perfect square and a perfect cube. To avoid counting it twice, we use the formula for the union of two sets: |A∪B| = |A| + |B| - |A∩B|. In this case, |A∪B| represents the number of integers that are either a perfect square or a perfect cube. Plugging in the values, we get |A∪B| = 10 + 4 - 1 = 13. The probability is therefore 13/100.

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The probability that the obstetrician has delivered no child with polydactyly is 0.8187.

To find the probability that the obstetrician has delivered no child with polydactyly, we can use the formula:

P(no polydactyly) = \((1 - P(polydactyly))^{number of births}\)

First, we need to find the probability of a child having polydactyly. This is given as 1 in every 500, which can be expressed as a decimal: 1/500 = 0.002.

Next, we find the probability of a child not having polydactyly: 1 - 0.002 = 0.998.

Now, we can find the probability of the obstetrician delivering no child with polydactyly in 100 unrelated and independent births by raising the probability of no polydactyly to the power of the number of births (100):

P(no polydactyly in 100 births) = (0.998)¹⁰⁰ ≈ 0.8187

So, the probability that the obstetrician has delivered no child with polydactyly is approximately 0.8187.

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#1

\(\\ \sf\longmapsto \left(\dfrac{4+8}{2},\dfrac{3+8}{2}\right)\)

\(\\ \sf\longmapsto \left(\dfrac{12}{2},\dfrac{11}{2}\right)\)

\(\\ \sf\longmapsto \left(6,\dfrac{11}{2}\right)\)

#2

\(\\ \sf\longmapsto \left(\dfrac{7+1}{2},\dfrac{2+5}{2}\right)\)

\(\\ \sf\longmapsto \left(\dfrac{8}{2},\dfrac{7}{2}\right)\)

\(\\ \sf\longmapsto \left(4,\dfrac{7}{2}\right)\)

#3

\(\\ \sf\longmapsto \left(\dfrac{-5+1}{2},\dfrac{6-3}{2}\right)\)

\(\\ \sf\longmapsto \left(\dfrac{-4}{2},\dfrac{3}{2}\right)\)

\(\\ \sf\longmapsto \left(-2,\dfrac{3}{2}\right)\)

#4

\(\\ \sf\longmapsto \left(\dfrac{-7-5}{2},\dfrac{-1-9}{2}\right)\)

\(\\ \sf\longmapsto \left(\dfrac{-12}{2},\dfrac{-10}{2}\right)\)

\(\\ \sf\longmapsto \left(-6,{-5}\right)\)

Answer:

25

Step-by-step explanation:

The top of the ladder sliding down the vertical wall with  -0.75 feet/s  when the bottom of the ladder is 6 feet from the vertical wall using pythagoras theorem and then differentiate the equation.

Given that the ladder is 10 feet long.

To calculate

velocity with which top of the ladder sliding.

given

x= -6 feet

y = 8 feet

By pythagoras  theorem  

   \(x^{2} +y^{2}\) = \(10^{2}\)

differentiate the given equation with respect to t

   2 x \(\frac{dx}{dt} +\) 2 y \(\frac{dy}{dt}\)  = 0

    x * \(\frac{dx}{dt}\)  = - y * \(\frac{dy}{dt}\)

   \(\frac{dy}{dt}\)=   \(\frac {\frac{-x dx}{dt}}{y}\)

   \(\frac{dx}{dt}\) = \(V_{x}\)    ,  \(\frac{dy}{dt}\) =\(V_{y}\)

\(V_{y}\) =-((-6)/8) *(1 feet)

\(V_{y}\) = -0.75 feet/s

so, the velocity at which the top of the ladder sliding down the vertical wall when the bottom of the ladder is 6 feet is -0.75 feet/s .

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Answer: They can make 4 diferent triangles if they share their sticks, one triangle as a time. If they don't share, Babu can make only one triangle. Ramesh can not make any.

Step-by-step explanation:

Combinations that work:

3,4,5

3,3,4

3,3,5

5,5,9

The lengths of two shorter sides added together have to be greater than the longest side.

The sample space for the experiment of tossing a pair of dice consists of all possible outcomes of the two dice rolls. Using a rule method, we can represent the sample space as S = {(1,1), (1,2), (1,3), ..., (6,5), (6,6)}.

(a) The event A corresponds to the sum of the outcomes being greater than 8. The elements of event A are (3,6), (4,5), (4,6), (5,4), (5,5), (5,6), (6,3), (6,4), (6,5), (6,6).
(b) The event B corresponds to a 2 occurring on either die. The elements of event B are (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (1,2), (3,2), (4,2), (5,2), (6,2).
(c) The event C corresponds to a number greater than 4 appearing on the green die. The elements of event C are (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6).
(d) The event A∩C corresponds to the outcomes where both the sum is greater than 8 and a number greater than 4 appears on the green die. The elements of event A∩C are (5,4), (5,5), (5,6), (6,3), (6,4), (6,5), (6,6).
(e) The event A∩B corresponds to the outcomes where both the sum is greater than 8 and a 2 occurs on either die. There are no elements in this event.
(f) The event B∩C corresponds to the outcomes where both a 2 occurs on either die and a number greater than 4 appears on the green die. The elements of event B∩C are (5,2), (6,2).
(g) The Venn diagram illustrating the intersections and unions of the events A, B, and C would have three overlapping circles representing each event. The area where all three circles intersect represents the event A∩B∩C, which is empty in this case. The area where circles A and C intersect represents the event A∩C, and the area where circles B and C intersect represents the event B∩C. The unions of the events can also be represented by the combinations of overlapping areas.

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2.4

(a) Sample space S: {(1, 1), (1, 2), ... (6, 5), (6, 6)}

(b) Rule method: S = {(x, y) | x, y ∈ {1, 2, 3, 4, 5, 6}}

2.8

(a) A: {(3, 6), (4, 5), ... (6, 6)}

(b) B: {(1, 2), (2, 1), (2, 2)}

(c) C: {(5, 1), (5, 2), ... (6, 6)}

(d) A∩C: {(5, 4), ... (6, 6)}

(e) A∩B: {}

(f) B∩C: {}

2.4

(a) Sample space S by listing the elements (x, y):

S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

(b) Sample space S using the rule method:

S = {(x, y) | x, y ∈ {1, 2, 3, 4, 5, 6}}

2.8

(a) Elements corresponding to event A (the sum is greater than 8):

A = {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}

(b) Elements corresponding to event B (a 2 occurs on either die):

B = {(1, 2), (2, 1), (2, 2)}

(c) Elements corresponding to event C (a number greater than 4 on the green die):

C = {(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

(d) Elements corresponding to event A∩C:

A∩C = {(5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}

(e) Elements corresponding to event A∩B:

A∩B = {} (No common elements between A and B)

(f) Elements corresponding to event B∩C:

B∩C = {} (No common elements between B and C)

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Answer:

14 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 4 , so

A = \(\frac{1}{2}\) × 7 × 4 = \(\frac{1}{2}\) × 28 = 14 units²

The confidence interval useful and what went wrong is: A. The Nearly Normal Condition is not met since the data are extremely right-skewed. Because of the one outlier at $3,000,000, the standard deviation is very large, which makes the confidence interval too wide to be useful. The confidence interval does not encompass all of the data values in the sample.

The reason why the analysts did not find the confidence interval useful is because the Nearly Normal Condition is not met since the data are extremely right-skewed. This is due to the outlier at $3,000,000, which has a significant impact on the data distribution.

                                           Because of this outlier, the deviation is very large, which makes the t-interval too wide to be useful. Additionally, the confidence interval does not encompass all of the data values in the sample, which also decreases its usefulness.

                                            To improve the accuracy of the confidence interval, a different statistical model should have been used, such as the Student's t-model instead of the Normal model, since the standard deviation is unknown.      

                                                   Finally, the Independence Assumption is not met since the sample of cardholders is not representative of the population, which further decreases the reliability of the results. Therefore, it is important to consider all of these factors when interpreting the results of a statistical analysis.

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Answer:

Y=2/9x +43/9

Step-by-step explanation:

Answer:

3root2

Step-by-step explanation:

this is root18 = 3root2