an automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. step 1 of 2 : suppose a sample of 958 new car buyers is drawn. of those sampled, 383 preferred foreign over domestic cars. using the data, estimate the proportion of new car buyers who prefer foreign cars. enter your answer as a fraction or a decimal number rounded to three decimal places.

Answer:

Step-by-step explanation:

The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.

A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.

It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.

The relation between type II error and the significance level(α):

From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.

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Given that a card is drawn at random from a standard deck of cards. We are asked to find the probabilities of

1) A queen or a spade.

2) A black or a face card.

3) A red queen.

This can be seen below;

Explanation

The formula for the probability of an event is given as;

For a given deck of cards, the number of total possible outcomes is 52 different cards. Next, we find the number of events for each case

Therefore we can find the probability in each case. Recall that "or" in probability implies we will add the values of the probabilities we are comparing.

1) A queen or a spade

Answer

2) A black or a face card

Answer:

3) A red queen

Answer

Answer:

Option A

Step-by-step explanation:

Min: 72

Q1: 83

Median: 89

Q3: 92

maximum: 94

Answer:

900+ hours

Step-by-step explanation:

Answer:

E(X) = $1060.

This shows that the expected value of earnings is greater than the cost of entering the race.

Hence, it is worthwhile to enter the race if it costs $1000.

The horse has a probability of 1/20 of coming in first place,

a probability of 1/10 of coming in second place,

and a probability of 1/3 of coming in third place.

Given that the first place pays $4800 to the winner,

second place $3200,

and third place $1500.

we need to find whether it is worth entering the race if it costs $1000.

Let E be the net profit in the race,

which is calculated as the difference between the total earnings and the cost of entering the race,

i.e., E = Total earnings - Cost of entering the race

Given, The probability of the horse coming in first place = 1/20

The probability of the horse coming in second place = 1/10

The probability of the horse coming in third place = 1/3

Now,

Let us calculate the expected value of the earnings, E(X).

E(X) = (1/20) x 4800 + (1/10) x 3200 + (1/3) x 1500

      = 240 + 320 + 500

      = $1060

Therefore, E(X) = $1060.

This shows that the expected value of earnings is greater than the cost of entering the race.

Hence, it is worthwhile to enter the race if it costs $1000.

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Answer:

2.39 x 10^5 miles

Step-by-step explanation:

Although it is not usually written, there is always a .0 at the end of a number unless there is a specific decimal that was given.

So, the number here is 239,000.0 and if you count the number of spaces that the decimal needs to move in order to be in the correct spot for scientific notation (which is always after the first number), there is 5 spaces.

Therefore the answer is 2.39 x 10^5 miles.

Answer: 2.39 x 10^5 miles

Step-by-step explanation:

Answer:

Mean: 2.125

median: 2

range: 4

Answer:

0.25 an hour

Step-by-step explanation:

1day=0.5 ft

24hr=6inch

6÷24=0.25

Answer:

x = -23

Step-by-step explanation:

3.5(x+20) = 6 + .75(x + 1)  Multiply the terms inside the parentheses on the left by 3.5 and the parentheses on the left by .75

(3.5)x +(3.5)(20) = 6 + (.75)x +(.75)(1)

3.5x + 70 = 6 + .75x + .75  Combine the 6 and .75 on the right side

3.5x + 70 = 6.75 + .75x  Subtract .75x from both sides of the equation

2.75x + 70 = 6.75  Subtract 70 from both sides of the equation

2.75x  = -63.25  Divide both sides by 2.75

x = -23

Check

3.5(-23+20) = 6 + .75(-23 + 1)

3.5(-3) = 6 +.75(-22)

-10.5 = 6 +(-16.5)

-10.5 = -10.5

Answer:

x = -23

Step-by-step explanation:

3.5(x+20)=6+.75(x+1)

3.5x + 70 = 6 + .75x + .75

3.5x+70=.75x+6.75

2.75x+70=6.75

2.75=−63.25

divide^

x = -23

Answer:

See below

Step-by-step explanation:

Start out -20     and change 0° ?

then there is zero slope as this would be a horizontal line.

Answer:

1.5,3

Step-by-step explanation:

Hope this helps it's all I could find I'm sorry

Ooo! It's fall and Thanksgiving time! I gotta get ready for Thanksgiving and for my friends to come over! Fun! - Ash the Fox

Answer:

15.9375 sq m

Step-by-step explanation:

First convert to meters

4 m 25 cm = 4.25 m

3m 75 cm = 3.75 m

Then multiply 4.25 * 3.75 = 15.9375

Answer:

ok but helppp meeeee nothinggggg

Answer:

o,m would be 20

Step-by-step explanation:

because the other side is 20 and you just put 10 on the other side

Answer:

See below

Step-by-step explanation:

OM   triangle OCB is isosceles rt triangle with hyp = 10

    Pythagorean theorem

            10^2  = S^2 + S^2     Shows s = sqrt (50)

                then triangle COM

                    pythagorean theorem again

                        5^2 + OM^2 = (sqrt(50))^2

                         25 +  OM^2 = 50

                                   OM^2 = 25

                           OM = 5 cm

Funny....here is an easier way    OM is 1/2 way across the square with side length of 10     so it is = to 5 cm

  ~D'Oh !

Angle VMO :     VO = 12    OM = 5      ARCTAN (12/5) = 67.4°

Angle  VBM:       VM =  12/sin67.4 = 13 cm     then ARCTAN 13/5 = 69°

The radius of the cone, when the volume is 36 units^3 and the height is 12 units, is approximately 1.6939 units.

To find the radius of a right circular cone when the volume and height are given, we can use the formula for the volume of a cone and solve for the radius. Let's proceed with the calculation.

The formula for the volume of a cone is:

V = (1/3) * π * r^2 * h

Where:

V is the volume of the cone,

π is the mathematical constant pi (approximately 3.14159),

r is the radius of the cone, and

h is the height of the cone.

In this case, we are given that the volume of the cone is 36 units^3 and the height is 12 units. We can substitute these values into the formula and solve for the radius.

36 = (1/3) * π * r^2 * 12

To isolate the radius, we can divide both sides of the equation by (1/3) * π * 12:

36 / [(1/3) * π * 12] = r^2

Simplifying the right side:

36 / (4π) = r^2

Taking the square root of both sides:

√(36 / (4π)) = r

Simplifying further:

√(9 / π) = r

Therefore, the radius of the cone is √(9 / π) units.

To obtain an approximate value for the radius, we can substitute the value of π (approximately 3.14159) into the equation:

r ≈ √(9 / 3.14159)

Calculating this expression gives us the approximate value of the radius.

r ≈ √(2.8654) ≈ 1.6939

Hence, the radius of the cone, when the volume is 36 units^3 and the height is 12 units, is approximately 1.6939 units.

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Answer:

The distance from the base of the ladder to the base of the house is 10ft

Step-by-step explanation:

From the question, we can gather that the ladder makes a right angle shape with the wall of the house.

The length of this ladder which represents the hypotenuse of the right angled triangle is 26ft while the height of the house to the roof is 24ft

To calculate the distance between the base of the ladder and the base of the house, we shall be employing the use of Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the square of the 2 other sides

We have established that the hypotenuse is the length of the ladder which is 26ft

Let the distance we want to calculate be d

26^2 = 24^2 + d^2

d^2 = 26^2 -24^2

d^2 = 676 - 576

d^2 = 100

d = square root of 100

d = 10ft

Answer:

10

Step-by-step explanation:

24^2 = 576

26^2 = 676

676 - 576 = 100

the square root of 100 is 10 so the answer is 10

B is the assertion that captures the final behavior of the function f(x) = 3|x 7| 7. As x moves closer to zero, f(x) moves closer to positive infinity.

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate

From the question,

\(f(x) = 3|x − 7| − 7\\when x = -101\\then, f(x) = 3|-101 − 7| − 7\\f(x) = 3|-108| − 7\\\)

f(x) = 3 × 108 − 7

f(x) = 324 -7

\(f(x) = 317\\Also, when x = -3000\\then, f(x) = 3|-3000- 7| - 7\\f(x) = 3|-3007| - 7\\f(x) = 3 × 3007 - 7\\\)

f(x) = 9021 - 7

f(x) = 9014

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Answer:

X = 7   Y = -19

Step-by-step explanation:

If you want to solve this equation by substitution then you have to put the second equation in, so it will look something like this

5x + 1(2-3x)=16

Apply distributive property to solve.

Once you find x, plug it in to find y

To double check your work, you can plug the coordinated values back in

-19 = 2 - 3(7)

-19 = 2-21

This is true, so our solution is correct.

Hope this helps :)

Answer:

0.50=1.7. They do not equal each other

Step-by-step explanation:

Thats what I got from this question

The length of the missing side (hypothenuse) is equal to 5

"Information available from the question"

Opposite side of the triangle(y) = 3

Adjacent side of the triangle (z)= 4

Hypothenuse side of the triangle = x

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle if two sides are given.

\(x^{2} =y^2+z^2\)

Let's substitute the values into the formula and solve for the hypothenuse

\(x^{2} =3^2+4^2\)

\(x^{2}\) = 9 + 16

\(x^{2}\) = 25

\(x=\sqrt{25}\)

x = 5

The length of the missing side (hypothenuse) is equal to 5.

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Answer:

answer will be 120°

Step-by-step explanation:

as those are similar angles

Answer:

C

Step-by-step explanation:

angles 1 and 5 are corresponding angles and congruent , thus

∠ 1 = ∠ 5 = 120° → C

Answer: the tip would be 17.26$

Step-by-step explanation:

Answer:

no it can not make a triangle

In an analysis of variance (ANOVA), the F-ratio is used to determine whether there are significant differences between the means of two or more groups.

When the null hypothesis is true, it means that there are no significant differences between the group means, and any observed differences are due to random chance.

In this scenario, the F-ratio is balanced in such a way that the numerator and the denominator both measure the same sources of variance.

The F-ratio is calculated by dividing the variability between the group means (numerator) by the variability within the groups (denominator).

When the null hypothesis is true, both the numerator and the denominator represent the same underlying variation.

This ensures that the F-ratio is balanced and close to 1.0, indicating that the group means are similar and any observed differences are likely due to chance.

The balanced F-ratio is a crucial aspect of ANOVA as it allows researchers to assess the significance of group differences accurately.

If the F-ratio deviates significantly from 1.0, it suggests that the observed differences between the group means are unlikely to be due to random chance alone, and the null hypothesis is rejected in favor of the alternative hypothesis.

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Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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In backtracking with conflict-directed back-jumping, the search for a solution to a problem is performed using a depth-first search algorithm. The variable order you mentioned, (a1, h, a4, f1, a2, f2, a3, t), represents the sequence in which variables are assigned values during the search. The value order, (red, green, blue), indicates the order in which the algorithm will try assigning different values to the variables.

Conflict-directed back-jumping is an improvement over basic backtracking, as it helps reduce the search space by identifying and jumping over irrelevant parts of the search tree. When a conflict (i.e., an unsolvable assignment) is encountered, the algorithm doesn't simply backtrack to the previous variable but rather identifies the cause of the conflict and jumps back to the most recent variable responsible for the conflict. This allows the algorithm to skip parts of the search tree that are guaranteed not to yield a solution.

In summary, backtracking with conflict-directed back-jumping is an efficient search technique that uses a specific variable and value order to assign values during the search. It improves upon basic backtracking by identifying the cause of conflicts and jumping back to the most recent relevant variable, thus reducing the search space and time complexity.

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