The average life of a bread-making machine is 7 years, with a standard deviation of 1 year. Assuming that the lives of these machines follow approximately a normal distribution, findb. The value of x to the right of which 15% of the means computed from a random sample of size 9 would fall

Answer:

C.

Step-by-step explanation:

Answer:

  20 mph

Step-by-step explanation:

Given that a dolphin swam 7 1/2 miles in 3/8 hour, you want its average speed in miles per hour.

The average speed is the ratio of distance to time:

  speed = distance/time

  speed = (7 1/2 mi)/(3/8 h) = (15/2)(8/3) mi/h = 20 mi/h

The dolphin's average speed was 20 miles per hour.

The red line is a reflection across the x-axis, so the correct option is d.

First, we know that the black line is represented by y = f(x). Here, we can see that the red line is given by a reflection around the x-axis.

This reflection only changes the sign of the right side, then we get that the function of the red line is:

g(x) = -f(x)

Then we can write this as:

y = g(x) = -f(x) = -1*f(x)

If we divide both sides by -1, we get:

y/(-1) = f(x)

Like in option d, so that is the correct one.

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To find a basis for the orthogonal complement L¹ of the line L spanned by a basis vector A in R³, we can use the concept of the dot product.

The orthogonal complement L¹ consists of all vectors in R³ that are orthogonal (perpendicular) to every vector in L.

Let A = [a₁, a₂, a₃] be a basis vector for the line L.

We want to find a vector B = [b₁, b₂, b₃] such that B is orthogonal to every vector in L. This can be achieved if the dot product of B with every vector in L is zero.

Using the dot product, we have:

(A • B) = a₁b₁ + a₂b₂ + a₃b₃ = 0

To find a basis for L¹, we need to find vectors B that satisfy the above equation.

We can choose two arbitrary values for b₂ and b₃ and solve for b₁. Let's set b₂ = 1 and b₃ = 0:

a₁b₁ + a₂(1) + a₃(0) = 0

a₁b₁ + a₂ = 0

a₁b₁ = -a₂

b₁ = -a₂/a₁

Therefore, one possible basis vector for L¹ is B₁ = [b₁, 1, 0].

Similarly, let's set b₂ = 0 and b₃ = 1:

a₁b₁ + a₂(0) + a₃(1) = 0

a₁b₁ + a₃ = 0

a₁b₁ = -a₃

b₁ = -a₃/a₁

Another possible basis vector for L¹ is B₂ = [b₁, 0, 1].

So, a basis for the orthogonal complement L¹ of the line L is given by B = {B₁, B₂} = {[-a₂/a₁, 1, 0], [-a₃/a₁, 0, 1]}, where A = [a₁, a₂, a₃] is a basis vector for the line L.

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The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.

A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).

Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.

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Answer:

$15.90

Step-by-step explanation:

80 - 16.40 = 63.60

63.60÷4 =15.9

15.9 = $15.90

The probability associated with obtaining a particular value of z is referred to as its statistical probability or simply its probability. It represents the likelihood of observing a specific value of z in a given statistical distribution.

The probability of a specific value of z can be calculated using various statistical methods, depending on the distribution being considered. In statistics, z represents a standard score or a z-score. It is a measure of how many standard deviations a particular value is away from the mean of a distribution. The probability associated with a specific value of z is determined by the characteristics of the distribution, such as its shape, mean, and standard deviation. Different distributions, such as the normal distribution or the t-distribution, have different methods for calculating probabilities associated with specific values of z.

The probability associated with a particular value of z can be useful in hypothesis testing, confidence interval estimation, or determining the likelihood of an event occurring. By understanding the probability distribution of z-values, statisticians can make informed decisions and draw conclusions based on data analysis.

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Answer:

thats easy

 105 not

Step-by-step explanation:

The weight is less on the moon than on the Earth due to the force of gravity being less on the moon.

Weight can be defined as the force with which the center of the Earth, or even the center of a satellite planet such as Earth attracts a body towards its center. This is determined by:

This makes your weight to be less in the moon as the force of gravity there is also less.

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All the solutions are,

⇒ LSA = 80.4π yards²

⇒ LSA = 321.6π yards²

⇒ V = 2786.2 yards³

⇒ SA = 186.5 inhces²

Now, We can simplify as;

1) Slant Height = 13.4 yards

Diameter = 12 yards

Hence, Radius = 6 yards

Since, Lateral surface area of cone is,

⇒ LSA = πrl

⇒ LSA = π × 6 × 13.4

⇒ LSA = 80.4π yards²

2) Slant Height = 26.8 yards

Hence, Radius = 12 yards

Since, Lateral surface area of cone is,

⇒ LSA = πrl

⇒ LSA = π × 12 × 26.8

⇒ LSA = 321.6π yards²

3) Height = 22 yards

Diameter = 22 yards

Hence, Radius = 11 yards

Since, Volume of cone is,

⇒ V = πr²h/3

⇒ V = π × 11² × 22 / 3

⇒ V = 2786.2 yards³

4) Surface area of pyramid is,

SA = (8 x 7) + 1/2 x (2 x (8 + 7) x 8.7

SA = 56 + 15 x 8.7

SA = 186.5 inhces²

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complete question:

attached

The recommended improvement is to introduce a placebo control (e.g., water) for Group B.

Here, we have,

To improve the experiment and research questions, introducing a placebo control (e.g., water) for Group B would be a valuable addition. This ensures that any observed differences in performance between the two groups are specifically attributable to the Awesome Drink Energy Juice and not influenced by other factors such as placebo effects or the act of consuming a beverage.

By including a placebo control, Group B would receive a drink that appears similar to the Awesome Drink Energy Juice but lacks the active ingredients or properties claimed to enhance performance. This allows for a more rigorous comparison between the effects of the energy juice and the placebo, providing a clearer understanding of the true impact of the intervention.

The improved research question would then be: Does the Awesome Drink Energy Juice improve Biochemistry performance compared to a placebo control?

Including a placebo control strengthens the experiment by providing a more robust comparison and addressing potential confounding variables that may affect the results. It helps to isolate the specific effects of the Awesome Drink Energy Juice and provides more reliable evidence of its impact on performance.

Therefore, the recommended improvement is to introduce a placebo control (e.g., water) for Group B.

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complete question:

The students in a Biochemistry class aren't performing as well as they could and the lecturer thinks that their grades can be improved by having students drink Awesome Drink Energy Juice. The lecturer splits the students into two groups, group A and group B: Group A receives the Awesome Drink Energy Juice and Group B does not. He asks them to complete as many Biochemistry problems as possible in one hour. At the end of one hour, Group A completed 27 problems and Group B completed 41 problems. How could his experiment (and research questions) be improved? Introduce a placebo control (e.g. water) for Group B O Add an additional control group that had good performance Make grades the dependent variable O Introduce a placebo control (e.g. water) for Group A O Add an additional control group that had low performance O Make grades the independent variable

Answer:

y = x + 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step 1: Find slope m

m = (1 - 6)/(-1 - 4)

m = -5/-5

m = 1

y = x + b

Step 2: Find y-int b

y = x + b

1 = -1 + b

b = 2

Step 3: Rewrite equation

y = x + 2

The eigenvalues of [t] are therefore λ1 = λ2 = 1, and the eigenvectors of [t] are the non-zero solutions of the equations[t − I]x = 0and [t − λI]x = 0for λ = 1.

(1/2, -sqrt(3)/2) is an eigenvector of [t] corresponding to λ = 1.

The given linear transformation t : R2 → R2 can be represented by the matrix [t] of its standard matrix, and we can then compute the characteristic polynomial of the matrix in order to find the eigenvalues and eigenvectors of t.

Rotation by π/3 in the counter-clockwise direction is the transformation which takes each vector x = (x1, x2) in R2 to the vector y = (y1, y2) in R2, where y1 = x1cos(π/3) − x2sin(π/3) = (1/2)x1 − (sqrt(3)/2)x2y2 = x1sin(π/3) + x2cos(π/3) = (sqrt(3)/2)x1 + (1/2)x2

Therefore the matrix [t] = is given by [t] =  [1/2 -sqrt(3)/2sqrt(3)/2 1/2]  and the characteristic polynomial of [t] is det([t] - λI), where I is the identity matrix of order 2.

Using the formula for the determinant of a 2 × 2 matrix, we obtain det([t] - λI) = λ2 − tr([t])λ + det([t]) = λ2 − (1 + 1)λ + 1 = λ2 − 2λ + 1 = (λ − 1)2

The eigenvalues of [t] are therefore λ1 = λ2 = 1, and the eigenvectors of [t] are the non-zero solutions of the equations[t − I]x = 0and [t − λI]x = 0for λ = 1.

The first equation gives the system of linear equations x1 - (1/2)x2 = 0 and (sqrt(3)/2)x1 + x2 = 0, which has solutions of the form (x1, x2) = t(1/2, -sqrt(3)/2) for some scalar t ≠ 0.

Therefore, (1/2, -sqrt(3)/2) is an eigenvector of [t] corresponding to λ = 1. This vector is a unit vector, and we can see geometrically that t acts on it by rotating it by an angle of π/3 in the counter-clockwise direction.

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Answer:

Step-by-step explanation:

Cost = 0.85 x $7.90

Cost = $6.72

Answer:

The answer would be 6x^2 + 5x - 4 = 0

The length of the quilt is 12 feet.

We can start solving this problem by using algebra. Let x be the quilt's length in feet. Then, the width of the quilt can be represented as (x - 4) feet. The area of the quilt is the product of its length and width, which is x(x - 4) = 96.

Expanding the left side of the equation:

x^2 - 4x = 96

Now we have a quadratic equation that we can solve by factoring or using the quadratic formula.

x^2 - 4x - 96 = 0

(x-12)(x+8) = 0

x=12 or x=-8 (length cannot be negative)

So the length of the quilt is 12 feet.

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This expression gives us a present value of approximately $1,376,500.

To calculate the present value of John Doe's winnings, we need to find the present value of each individual payment and then sum them up.

The formula to calculate the present value of an annuity is:

PV = C * (1 - (1 + r)^(-n)) / r

Where PV is the present value, C is the annual payment, r is the discount rate, and n is the number of periods.

In this case, John Doe will receive $100,000 each year for 30 years, and the discount rate is 6%. Plugging these values into the formula, we get:

PV = $100,000 * (1 - (1 + 0.06)^(-30)) / 0.06

Calculating this expression gives us a present value of approximately $1,376,500.

Therefore, the correct answer is:

c. $1,376,500.

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Answer:2.6*10^5

Step-by-step explanation:

Answer:

X2+8X+6=0

We add all the numbers together, and all the variables

X^2+8X+6=0

a = 1; b = 8; c = +6;

Δ = b2-4ac

Δ = 82-4·1·6

Δ = 40

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

X1=−b−Δ√2aX2=−b+Δ√2a

The end solution:

Δ−−√=40−−√=4∗10−−−−−√=4√∗10−−√=210−−√

X1=−b−Δ√2a=−(8)−210√2∗1=−8−210√2

X2=−b+Δ√2a=−(8)+210√2∗1=−8+210√2

Step-by-step explanation:

Answer:

x = -4 ± √10

Step-by-step explanation:

Step 1: Write quadratic

x² + 8x + 6 = 0

Step 2: Solve for x

The type of items on the list, and the amount of time between list presentation and recall.

The shape of the function relating the probability of an item's recall to the item's position on a list is typically described as the serial position curve. The curve is generally U-shaped, with a higher probability of recall for items at the beginning and end of the list and a lower probability of recall for items in the middle of the list. This pattern is known as the primacy and recency effect, respectively.

The primacy effect refers to the higher probability of recall for items at the beginning of the list, which is thought to be due to the greater opportunity for rehearsal and encoding of these items into long-term memory. The recency effect refers to the higher probability of recall for items at the end of the list, which is thought to be due to the items still being held in short-term memory and easily retrieved.

Overall, the shape of the function can be affected by various factors such as the length of the list, the type of items on the list, and the amount of time between list presentation and recall.

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Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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The perimeter (p) can be expressed as: p = s + s + s = 3s.

If "s" represents the measure of one side of the equilateral triangle, then:

The perimeter (p) of an equilateral triangle can be found by adding up the length of all three sides. Since all sides of an equilateral triangle are equal, the perimeter (p) can be expressed as: p = s + s + s = 3s.

Another way to express the perimeter (p) of an equilateral triangle is to use multiplication. Since all three sides are equal, we can simply multiply the length of one side (s) by 3 to get the perimeter (p): p = 3s.

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Time required for writing 2 pages = 1 day

So, time required for writing 1 pages

= 1 day/2

= ½ day

So, time required for writing 300 pages

= ½ day × 300

= (300/2) days

= 150 days

Answer:

150 days

Step-by-step explanation:

We can write a ratio to solve

2 pages    300 pages

----------- = ------------

1 day            x days

Using cross products

2x = 300

Divide by 2

2x/2 = 300/2

x = 150

150 days

Answer:The boat is traveling at a rate of 3 ft/s.

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:

since the inequality says that all numbers less than 11 are the answer a and b are the choices that are below 11

Based on the provided information, the sum of the first 19 terms of the arithmetic series is 57.

An arithmetic series is a sequence of numbers such that the difference between the consecutive terms is constant. A geometric series is a sequence of numbers such that they have a constant ratio between successive terms.

Let the five terms of the geometric series be (such that r the common ratio is eliminated from the product to find a)

a/r^2, a/r, a, ar, ar^2

As the product of the first five terms of a geometric series is 243,

a/r^2* a/r * a* ar* ar^2 = 243

a^5 = 243

a^5 = 3^5

a = 3

Hence, the third term of the geometric series is 3.

Consider the arithmetic series,

b, b + d, b + 2d, …. b + (n – 1)d,… where d is the common difference.

The tenth term of the arithmetic series is

b + (10 -1)d

b + 9d

As the tenth term of the arithmetic series is equal to third term of the geometric series,

b + 9d = 3

The sum of the n term is: n/2(2b + (n - 1)d)

When n = 19

19/2(2b + (19-1)d)

19/2(2b + 18d)

19(b + 9d)

19*3

57

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Decimals are obtained if fraction is solved even if there is remainder in division. The fraction representing the decimal 0.8888 is :\(\dfrac{1111}{1250}\)

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example: \(0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}\)

(10 raised to power k = 1 followed by k zeroes)

For the given case,  the decimal 0.8888 is converted to fraction as shown below.

As in 0.8888, there are 4 digits after decimal point so, we write numerator as 8888, and denominator as 10000, thus,

\(0.8888 = \dfrac{8888}{10000}\)

Now, we can cancel out the common factors in both numerators and denominators.

Thus, \(0.8888 = \dfrac{8888}{10000} = \dfrac{1111}{1250}\)

(canceled the common factor 8)

Therefore, the fraction representing the decimal 0.8888 is :\(\dfrac{1111}{1250}\)

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Answer:

Can you ask again with a picture? it's not clear with only text