Carla, the baker, worked for 5 hours to make cookies..
She ended with 380 cookies altogether. Write an
equation to express how many cookies Carla made
each hour.

The probability of picking a strawberry sweet from the bag is 2/3.

The mathematical notion of probability is used to express how likely or likely it is that an event will occur. It is a scale from 0 to 1, with 0 denoting impossibility (an event that will never occur) and 1 denoting certainty (an event that is certain to occur). By dividing the number of favourable outcomes by the total number of possible outcomes, one can calculate the probability of an occurring.

It enables us to assess uncertainty, make forecasts, and choose wisely. Numerous professions, such as statistics, gambling, risk analysis, and scientific study, use probability extensively to comprehend and measure the likelihood of certain outcomes or events.

It is mentioned that there are only raspberry and strawberry sweets in a bag, and the probability of picking a raspberry sweet is initially 1/3. Let's find the probability of picking a strawberry sweet.

Step 1: Determine the total probability, which is always equal to 1.

Step 2: Subtract the probability of picking a raspberry sweet from the total probability.

1 (total probability) - 1/3 (probability of picking a raspberry sweet) = 2/3

So, the probability of picking a strawberry sweet from the bag is 2/3.

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The standard error of the mean is approximately 19.

The standard error of the mean (SEM) can be calculated using the following formula:

SEM = σ / sqrt(n)

where σ is the population standard deviation, n is the sample size, and sqrt() denotes the square root.

Since the population standard deviation (σ) is not given, we can estimate it using the sample standard deviation (s) as follows:

σ ≈ s

Therefore, the formula for SEM can be rewritten as:

SEM ≈ s / sqrt(n)

Substituting the given values, we get:

SEM ≈ 190 / sqrt(100)

= 190 / 10

= 19

So the standard error of the mean is approximately 19.

The standard error of the mean measures the variability of the sample means around the population mean. It is the standard deviation of the sampling distribution of the mean, and it represents the amount of error that can be expected when using the sample mean as an estimate of the population mean.

To calculate the SEM, we need to know the population standard deviation or estimate it using the sample standard deviation. Since we only have the sample standard deviation in this case, we use it as an estimate of the population standard deviation. Then, we apply the formula for SEM and simplify it to obtain the final answer.

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Answer:

A width of 3 and a length of 9

Step-by-step explanation:

To solve this problem, we're going to have to create an equation. So, let's call the width w. The length of the rectangle is three times the width, so the length will be 3w. The total area is 27, and the length times the width must equal the area, so this gives us the following equation:

w(3w) = 27

Let's simplify and start solving.

3w² = 27

3w²/3 = 27/3

w² = 9

√w² = √9

w = 3

Remember, we defined w as the width. So, the width of the rectangle is 3. The length is 3w, or three times the width, so the length must be 9. And these are our dimensions: 3 × 9.

3. 3x = 12

An open statement in math means that it utilizes variables, and can only be concluded as being "true" or "false". The problem would result in asking whether or not it is always true or not. In this case, x will be true when you plug in 4, however, it will not be true when you plug in any other number. Therefore, it is a closed statement that can be falsified.

4. Open.

The statement can be true if the variable g is 35, however, it is false if it is not. An open statement concludes that it may or may not be correct, thereby being open.

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Answer:

(0,0) (4,5,200) I think

Step-by-step explanation:

Answer:

33.2

Step-by-step explanation:

Part (e)

See the diagram below that mentions this part.

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Part (f)

See the diagram that mentions this part. It's in a separate image.

The item can be anything really. I'm going to add a trampoline which is a square shown in purple. The square is rotated 45 degrees so it looks like a diamond shape. The rotation isn't necessary but I figured to spice things up compared to the other figures which were mostly squares or rectangles. If we split the purple square into 4 triangles, and apply the pythagorean theorem, then we can find the length of each side of the purple square to be roughly 2.828 cm.

Scaling things up, the trampoline in real life is 2*2.828 = 5.656 meters along each dimension.

With any square the angles are always 90 degrees.

The given polar equation is r = 6 cos θ. Converting it to rectangular form, we get x = 6 cos θ and y = 6 sin θ. The graph of this equation will be a cardioid centered at the origin, with a radius of 6.

To convert the polar equation r = 6 cos θ to rectangular form, we can use the trigonometric identities x = r cos θ and y = r sin θ. Substituting the values, we get x = 6 cos θ and y = 6 sin θ. These equations represent the coordinates (x, y) in terms of the angle θ.

To sketch the graph, we can observe that the equation x = 6 cos θ represents a horizontal line that oscillates between -6 and 6 as θ varies. Similarly, the equation y = 6 sin θ represents a vertical line that oscillates between -6 and 6 as θ varies.

Combining these equations, we can plot the graph by taking various values of θ and computing the corresponding (x, y) coordinates. The resulting graph will be a cardioid, which is a heart-shaped curve centered at the origin, with a radius of 6 units. The curve starts at the point (6, 0), moves upward, forms a loop, and returns to the point (-6, 0) before completing the loop.

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This problem involves finding the probability that the actual costs for maintenance and repairs in a certain electricity company will exceed the budgeted amount of C450.

We can standardize the distribution of the weekly costs using the z-score formula given:

z = (x - μ) / σ

where x is the budgeted amount, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

z = (450 - 400) / 20 = 2.5

Using the z-table, we can find the probability that the actual costs will exceed the budgeted amount as:

P(z > 2.5) = 1 - P(z < 2.5)

From the z-table, we find that P(z < 2.5) = 0.9938

Therefore:

P(z > 2.5) = 1 - 0.9938 = 0.0062

Hence, the probability that the actual costs for maintenance and repairs in the electricity company will exceed the budgeted amount of C450 is 0.0062 or approximately 0.62%.

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The turkey farmer should guarantee a weight of 13.45 pounds to have to give her customers' money back only 1% of the time.

To determine the weight the turkey farmer should guarantee, we need to find the value that corresponds to the 99th percentile of the normal distribution. Using the mean (9.0 pounds) and standard deviation (2.8 pounds) provided, we can calculate this value.

To find the 99th percentile, we can use the Z-score formula: Z = (X - μ) / σ, where Z is the standard score, X is the value we're looking for, μ is the mean, and σ is the standard deviation. Rearranging the formula to solve for X, we have X = Z * σ + μ.

Since we want the 99th percentile, we need to find the Z-score that corresponds to that percentile. Using a standard normal distribution table or calculator, we find that the Z-score for the 99th percentile is approximately 2.33.

Plugging the values into the formula, we have X = 2.33 * 2.8 + 9.0 = 13.45 pounds. Therefore, the turkey farmer should guarantee a weight of at least 13.45 pounds to have to give her customers' money back only 1% of the time.

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Answer:

53.96

Step-by-step explanation:

21.5 times 2.51 is 53.965

53.965 to 2 decimal points is 53.96

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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Answer: 0.00330033003

Answer:

5.86

Step-by-step explanation: its right on delta math

Answer:

390

Step-by-step explanation:

100% CORRECT

1In unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

\((x-h)^2+(y-k)^2=r^2\)

Here (h,k) is the center of the circle and (r) is the radius of the circle.

For the first problem,

\(x^2+(y+2)^2=64\)

Rewrite the equation to make it the equation of circle as,

\((x-0)^2+(y-(-2))^2=8^2\)

Compare it with equation of circle, we get center at (0,-2) and radius of 8 units. Similarly, the center and radius for each of the equation can be found out.

Thus, in unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

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The graph of y = 3 - 4x is given above.

The coordinates on the graph are:

(-2, 11) and (7, -25).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 3 - 4t

Where -2 ≤ t ≤ 7

Now,

Find the coordinates on the graph.

y = 3 - 4t

For t = -2

y = 3 - 4 x (-2) = 3 + 8 = 11

i.e

(-2, 11)

For t = 7

y = 3 - 4 x 7 = 3 - 28 = -25

i.e

(7, -25)

Thus,

The coordinates on the graph are:

(-2, 11) and (7, -25).

The graph is given below.

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The Null and the alternative hypothesis are stated here

The null hypothesis (H0) is that there is no difference between the mean GPAs of fall and spring semester students. The alternative hypothesis (Ha) is that the mean GPA of fall semester students is lower than that of spring semester students.

H0: μF = μS

Ha: μF < μS

Step 2

D = x₁ - x₂

= 2.91 - 2.87

= 0.04

Step 3: Find the p-value of the point estimate

To calculate the p-value, we need the test statistic (t), which is calculated as follows:

t = D / SE

= 0.04 / 0.136

≈ 0.294

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If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then X and Y are not independent i.e. x ⊥⊥ y is false.

The given statement, "If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then x ⊥⊥ y" is false. What is the independence concept?

The independence concept is an important concept in probability theory. Independence is a mathematical concept that refers to a situation where knowledge of one event has no effect on the likelihood of another event. The independence concept is a key property of many probability distributions in statistics.

Two variables X and Y are said to be independent if the knowledge of one variable doesn't affect the distribution of the other variable, i.e. P(X|Y) = P(X).Given Definition:

By definition, x ⊥⊥ y iff f(x, y) = f(x) · f(y) for all (x, y).

Now we will check the statement's validity.

That is, If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then x ⊥⊥ y. This statement is false.

Let's check why?

Assume that X and Y are not independent i.e. P(X, Y) ≠ P(X)P(Y).

Then f(x, y) = P(X = x, Y = y) ≠ P(X = x)P(Y = y) = f(x) · f(y).

Therefore, f(x, y) = f(x) · f(y) is only true when X and Y are independent.

So, we can conclude that If f(x, y) = f(x) · f(y) for all (x, y) such that f(x, y) > 0, then X and Y are not independent i.e. x ⊥⊥ y is false.

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Answer:

35 cm squared

Step-by-step explanation:

Triangle area = bxh 2 = 5.75 x 8 / 2 = 23

Trapezium Area  = a+b /2 x h = 8 + 4 /2 x 2 = 12

23 + 12 = 35

Hope that helped!!! k

Answer:Set \displaystyle f\left(x\right)=0f(x)=0.

Step-by-step explanation:

Set \displaystyle f\left(x\right)=0f(x)=0.

If the polynomial function is not given in factored form:

Factor out any common monomial factors.

Factor any factorable binomials or trinomials.

Set each factor equal to zero and solve to find the \displaystyle x\text{-}x- intercepts.

Answer:

The answer of the addition is;

√2+√5

Step-by-step explanation:

Here, we want to evaluate the given sure

Basically, we want to add the two surds together

In the case of this question, since they have nothing in common, the addition of both will give the same results

Thus;

√2+√5 = √2+√5

The magnitude of the upward force on the table due to the leg at (lx, 0) is Fx=W.

To find the upward force (Fx) on the table due to the leg at position (Lx, 0), you will need to consider the forces acting on the table. In this scenario, the force Fx is the force exerted by the leg to support the weight of the table and maintain equilibrium.  

To calculate Fx, you'll need to take into account the weight of the table (W) and any additional forces acting on it, such as objects placed on the table. Since the table is in equilibrium, the sum of all forces in the vertical direction should be equal to zero.

Using the principle of equilibrium:

ΣFy = 0

Where ΣFy represents the sum of all vertical forces acting on the table.

In this case, the upward force exerted by the leg (Fx) should be equal to the total downward force acting on the table:

Fx = W

Once you have determined the weight of the table and any additional forces, you can calculate the magnitude of the upward force Fx exerted by the leg at position (Lx, 0).

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Answer:

9 and -12

Step-by-step explanation:

the correct option is D, the inverse relation is only a function if it passes the vertical line test.

A relation maps elements from one set (called the domain) into elements of another set (called the range).

A relation is a function only if each element in the domain is mapped into only one element of the range. So, there is something called the vertical line test.

It says that if at any part of the graph of the relation you can draw a vertical line that intercepts the graph of the relation more than once, then it is not a function. Passing the vertical line test means that no vertical line intercepts the graph more than once.

Then the correct option is D, the inverse relation is only a function if it passes the vertical line test.

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Answer:

The numbers are 37 and 38.

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) = 75

→ 2x + 1 = 75

Now the value of x will be,

→ 2x + 1 = 75

→ 2x = 75 - 1

→ x = 74/2

→ [ x = 37 ]

The another number will be,

→ x + 1

→ 37 + 1 = 38

Hence, numbers are 37, 38.

A. The linear equation is: y = 60x + 45

B. The graphed equation is shown in the attachment below.

A linear equation is defined as, y = mx + b, where the initial value = b; unit rate = m; x and y are the variables.

A. In this situation given, we have:

Substituting the values into y = mx + b, we would have the equation as:

y = 60x + 45

B. The graph of the equation is shown in the image attached below.

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