Lara is planting seedlings in a small flower pots.she buys a bag of soil that cost $4.55 and it contains 16.25 cups of soil. Each soil requires 1 1/4 cups of soil.What is the cost of the soil for each seedling?

It should be noted that a number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

Positive numbers are plotted to the right of the origin while negative numbers are plotted to the left of the origin. Arrows are put on the ends of the horizontal line to show that the line continues to infinity.

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Answer:

1,3,5,15

Step-by-step explanation:

A factor cannot be greater then the number itself so we can scratch 30 and 45. 15 is divisible by itself and 1, as every other number. 2 is not a factor of 15 because 15 is not even. Also not 9. But it does have factors 5 and 3 because 5×3=15.

Hope that helps, let me know if you have any further questions!

Answer:

the answer-is 2

Step-by-step explanation:

-1-3x=-7

+1.      +1

-3x/-3=-6/-3

x=2

Answer:

16

Step-by-step explanation:

7 feet x 12 inches/foot = 84 inches

Then we divide the total length of the string (84 inches) by the length of each piece (5 inches) to get the total number of pieces:

84 inches / 5 inches per piece = 16.8 pieces

Since we cannot have a fractional number of pieces, we round down to the nearest whole number to get the final answer:

16 pieces

Answer:

\(4 \sqrt{5} \)

☽------------❀-------------☾

Hi there!

~

\(4\sqrt{5}\)

⇒Using the law of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

⇒ \(\sqrt{80}\)

⇒ \(\sqrt{16} \times 5\)   \(= \sqrt{16}\) × \(\sqrt{5}\) \(= 4\sqrt{5}\)

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

Step-by-step explanation:

A cube has a surface area of 60 in2. Find the volume in in3.

60 : 6 = 10 in²

√10 = 3,162277660168379

3,162277660168379³ =

99,99999999999996

round

100in³

Answer:

(a) - Refer to the step-by-step explanation.

(b) - Displacement of the object.

Step-by-step explanation:

To estimate the gradient of the graph at t = 2, we need to look at the slope of the line at that specific point. The gradient represents the rate of change of speed with respect to time.

Part (a) - Estimate of the gradient at t = 2:

To find an estimate of the gradient at t = 2, we can draw a tangent line to the curve at that point and determine its slope. If you could provide the specific values of speed (m/s) at different times around t = 2 (e.g., the speeds at t = 1.9 and t = 2.1), we can calculate the slope using the formula:

Slope = (Change in speed) / (Change in time).

With the additional information, we can proceed to estimate the gradient at t = 2.

Part (b) - The area under the graph represents the displacement or distance traveled.

The area under the speed-time graph corresponds to the distance or displacement traveled by the object. Since speed is the rate of change of distance, the area under the graph gives us the total distance covered during the given time interval. To calculate the area under the graph, you can divide it into individual shapes (rectangles, triangles, etc.) or use integrals and find their respective areas. Then, summing up these areas will give you the total distance traveled.

In right triangle ABC, side AB is 8 units and BC is 8 units.

A right angled triangle is a triangle with one of the angles as 90 degrees. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle.

Given that, ∠BAD=∠BCD=45°

By using angle sum property of triangle in triangle ABD,

We get ∠ABD=45°

By using angle sum property of triangle in triangle BCD,

∠CBD=45°

So, AB = 8 units and BC= 8 units

Therefore, in right triangle ABC, side AB is 8 units and BC is 8 units.

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The diameter of the cups used for a slushy stand uses dome shaped lids is 4 inches.

A slushy stand uses dome shaped lids

Lids resemble the shape of a hemisphere

Volume of lid as 16/3 pi cubic inches

Therefore, volume of hemisphere is 16/3 pi cubic inches as lid resemble shape of hemisphere,

Volume of hemisphere is 2/3πr³

V =  2/3πr³

16/3π = 2/3πr³

8 = r³

r = 2

So the radius of the lids is 2

Diameter  = 2r

d = 2x2

D = 4 inches.

Therefore, the diameter of the cups used of lids is 4 inches.

The area that a hemisphere takes up is referred to as its volume. The volume of a thing determines how much space it takes up. A hemisphere is a half-sphere in three dimensions, such as bowls, headphones, an igloo, domes in buildings, etc.

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The procedure for revising probabilities based on additional information is referred to as Bayesian updating

The procedure for revising probabilities based on additional information is referred to as Bayesian updating. Bayesian updating is a fundamental concept in Bayesian statistics, which allows for the incorporation of new evidence or data to update and refine prior beliefs or probabilities.

In Bayesian updating, the process begins with an initial prior probability, which represents the initial belief or knowledge about an event or hypothesis before any evidence is observed. As new evidence or data becomes available, it is used to update the prior probability and generate a posterior probability. The posterior probability represents the revised belief or probability after incorporating the new information.

Bayesian updating follows the principles of Bayes' theorem, which mathematically describes the relationship between prior probabilities, likelihoods, and posterior probabilities. It involves combining the prior probability with the likelihood of observing the data given the hypothesis and then normalizing the result to obtain the posterior probability.

The beauty of Bayesian updating is that it allows for a flexible and iterative process of continuously updating beliefs and probabilities as new information emerges. It provides a framework for incorporating both subjective prior beliefs and objective data to make more informed decisions and predictions. Bayesian updating has applications in various fields, including machine learning, decision-making, and scientific research.

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The price per unit that will yield maximum revenue is $67.04.

In order to find the price per unit that will yield maximum revenue, we have to follow the below-given steps:

Step 1: The revenue function for x units of a product is

R(x) = x * P(x),

where P(x) is the price per unit of the product.

Step 2: The demand function is

D(x) = 170e^(-0.04x)

Step 3: We are given that the 0 ≤ x ≤ 55, it means that we only need to consider this domain. Also, the price per unit of the product is unknown. Let's take it as P(x). Hence, the revenue function will be:

R(x) = P(x) * xR(x) = x * P(x)

Step 4: We need to find the price per unit that will yield maximum revenue. In order to do that, we have to differentiate the revenue function with respect to x and find its critical point. Let's differentiate the revenue function.

R'(x) = P(x) + x * P'(x)

Step 5: Now we will replace P(x) with D(x) / x from the demand function to obtain a function that depends on x only.

This will give us R(x) = x * (D(x) / x).

Simplifying this expression, we get R(x) = D(x).

Let's write it. R(x) = D(x)R'(x) = D'(x)

Step 6: Differentiate D(x) with respect to x, we get:

D'(x) = -6.8e^(-0.04x)

Step 7: To find the critical point of R(x), we will equate R'(x) to zero and solve for x.

R'(x) = 0D(x) + x * D'(x) = 0

Substitute D(x) and D'(x)D(x) + x * D'(x) = 170e^(-0.04x) - 6.8x * e^(-0.04x) = 0

Divide both sides by e^(-0.04x)x = 25

The critical point of R(x) is 25. It means that if the company sells 25 units of the product, then the company will receive maximum revenue.

Step 8: We need to find the price per unit that will yield maximum revenue. Let's substitute x = 25 in the demand function to find the price per unit of the product.

D(25) = 170e^(-0.04*25) = 67.04

Therefore, the price per unit that will yield maximum revenue is $67.04.

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Step-by-step explanation:

the area of a triangle :

baseline × height / 2

it does not matter, if the height is inside or outside (like in this case) of the triangle.

the baseline and height pair is always determined by the right angle between them. if there is no right angle, it is not the height to that side (or the side to that height).

so,

the area is

3 × 2/3 / 2 = 1 ft²

Answer:

LMJ and NMO

Step-by-step explanation:

Think of it as an X, top and bottom are vertical, and so are both sides together.

Answer:

LKJ and NMO

Step-by-step explanation:

Vertical angles are formed from the same lines and are opposite each other

LKJ and NMO are formed from the same lines and are opposite each other

Answer:

8

Step-by-step explanation:

Let the girl's age be g.

In 8 years, g+8, she will be twice as much as her present age, so that would be 2(g) + 3 so joining the equation, we get:

g+8=2(g) +3

Solve:

g+8=2g+3

g+3=8

g=5

The girl is 5 years old.

a. Null hypothesis: H₀: µ ≤ 74

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30.

c. The value of Test statistic is -6.325

d. At a 0.05 significance level, the critical value for a right-tailed test is  -1.664.

e. The test statistic (-4.38) is less than the critical value (1.645). Hence we can reject the null hypothesis.

a. Null hypothesis, H0: µ = 74, alternative hypothesis, H1: µ > 74  (there is no significant difference in the mean job satisfaction scores of employees after the telecommuting policy is adopted).

b. A t-test is appropriate here because the population standard deviation is not known, and the sample size is less than 30. This is a one-tailed test because the alternative hypothesis is directional (i.e., it states that the mean level of satisfaction will increase with telecommuting).

c. The test statistic is calculated using the formula: t = (X - µ) / (s / √n), where X is the sample mean, µ is the population mean, s is the sample standard deviation, and n is the sample size.  Substituting the values given in the question: t = (56 - 74) / (8 / √80) = -6.325

d. The critical value for a one-tailed t-test with 79 degrees of freedom at the 0.05 level of significance is -1.664. Since the calculated t-value of -6.325 is less than the critical value of -1.664, we reject the null hypothesis.

e. Based on the calculated t-value and critical value, we reject the null hypothesis that the mean level of satisfaction is the same before and after telecommuting and accept the alternative hypothesis that telecommuting increases the mean level of satisfaction among employees.

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Answer:

si=Ptr/100

and di solution

Answer:12 to 25 yrs

Step-by-step explanation:

convert 12% to a decimal

Answer:

20.8 ft²

Step-by-step explanation:

area = (ab sin C)/2

area = (6 ft × 8 ft × sin 60°)/2

area = 20.8 ft²

Answer:

S*i*I*E

Sorry don't know.

But you lying, its only 50 points!!

Answer:

Impossible

Step-by-step explanation:

think logically, your going to need a longer time scale

lets say 1 minute

let your lips part slightly.

Then close your lips and inhale silently for 4 seconds.

Hold your breath for 7 seconds. You can also count till 7 in your head.

Exhale with a whoosh sound for 8 seconds.

Avoid being too alert.

Keep doing this process mindlessly.

do this activity at least 4-5 times.

Where the above are given,

(a) MLE of β: (nα + y₁ + y₂ + ... + yn)/n

(b) MLE of E(Y): (nα + y₁ + y₂ + ... + yn)/n

Maximum Likelihood Estimation (MLE) is   a statistical method used to estimate the parameters of a probability distribution by maximizing the likelihood function based on observed data.

(a) The MLE of β can be found by   maximizing the likelihood function. The likelihood function for  a gamma distribution is given by  -

L(β;  y₁, y₂, ..., yn) = (1/β^nαΓ(α))ⁿ * exp(-( y₁ + y₂ + ... + yn)/β)

Taking the logarithm of the likelihood function (log-likelihood) to simplify the calculations  -

log L(β;  y₁, y₂, ..., yn) =   n*log(1/β) + nα*log(β) - n*logΓ(α) - ( y₁ + y₂ + ... + yn)/β

To find the MLE of β, we differentiate the log-likelihood with respect to β, set it equal to zero, and solve for β  -

d/dβ(log L(β;  y₁, y₂, ..., yn)) = -n/β + nα/β² + ( y₁ + y₂ + ... + yn)/β² = 0

Simplifying the equation -

-n/β + nα/β^2 + ( y₁ + y₂ + ... + yn)/β² = 0

Multiplying through by β²

-nβ + nα + ( y₁ + y₂ + ... + yn) = 0

Rearranging  whave

nβ = nα + ( y₁ + y₂ + ... + yn)

Finally, solving for β -

β = (nα +  y₁ + y₂ + ... + yn)/n

Therefore, the MLE of β is (nα +  y₁ + y₂ + ... + yn)/n.

(b) The MLE of E(Y), the expected value of Y, is simply the MLE of β.

So, the MLE of E(Y) is (nα +  y₁ + y₂ + ... + yₙ)/n.

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For your birthday, you plan to hang a piñata in your basement. You decide to attach two hooks on opposite walls, connect the hooks with a taut string, and hang the piñata from the point on the string exactly halfway between the hooks.

1.The first hook is located 4 feet east of the origin (x-coordinate) and 7.5 feet above the origin (z-coordinate), so its coordinates are (4, 0, 7.5).

2.The second hook is located 5 feet east of the origin (x-coordinate), 12 feet north of the origin (y-coordinate), and 8 feet above the origin (z-coordinate), so its coordinates are (5, 12, 8).

3.To find the point on the string that is exactly halfway between the hooks, we need to find the midpoint of the line segment joining the two hooks. We can use the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2)

where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two hooks.

Substituting the values, we get:

Midpoint = ((4 + 5)/2, (0 + 12)/2, (7.5 + 8)/2)

= (4.5, 6, 7.75)

Therefore, the coordinates of the point on the string that is exactly halfway between the hooks are (4.5, 6, 7.75).

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Answer:

C. 2 \(\frac{1}{4}\)

Step-by-step explanation:

First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.

Used 3/4 of a pound:

3/4(4) = 3 pounds

Used 1/4 of a pound:

1/4(3) = 3/4 pound

Now, subtract:

3 - 3/4 = 2 and 1/4

Answer

i got it right

C. 2

Answer:

It's A I believe, if not then its B. hope that this helps :D

Step-by-step explanation:

Answer:

  532

Step-by-step explanation:

  532 = 2·2·7·19

__

There are 24 possible 3-digit numbers from the set {2, 3, 5, 7}. Of those, 6 have four factors: 372, 375, 532, 572, 732, 735.

The sums of factors of these numbers are ...

  38, 18, 30, 28, 68, 22

The number of interest is 532.

Answer:

R = 18

Step-by-step explanation:

Answer:

A.21

Step-by-step explanation:

We can use trigonometry to slove for sides in this triangle...

Using the 60 degree angle...we can solve for x.

We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.

And since we're using tangent, we have to use opposite/adjacent

We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,

and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should

get an answer of 21

A major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Correlations are statistical measures that describe the size and direction of a relationship between variables.

Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.

The disadvantages of correlations include:

Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.

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The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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