maricela bought 2 1/3 pounds of bananas , 1 5/12 pounds of apples , and 3 5/6 pounds of mangoes. How many pounds of fruit did she buy?

Answer:

B

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation: I got it right.

To find the length of the parametric curve described by the equations x = 9t^2 − 3t^3 and y = 3t^2 − 6t, we can set up an integral using the arc length formula. The curve starts at point (12, 9) and ends at point (0, 9), with several changes in direction along the way.

The length of a curve can be calculated using the arc length formula. For a parametric curve defined by x = f(t) and y = g(t), the arc length can be expressed as:

L = ∫[a,b] √[(dx/dt)^2 + (dy/dt)^2] dt.

In this case, we have x = 9t^2 − 3t^3 and y = 3t^2 − 6t. To find the length of the curve, we need to determine the interval [a, b] over which t varies.

From the given information, we can see that the curve starts at (12, 9) and ends at (0, 9). By solving the equation x = 9t^2 − 3t^3 for t, we find that t = 0 at x = 0, and t = 2 at x = 12. Therefore, the interval of integration is [0, 2].

To set up the integral, we calculate the derivatives dx/dt and dy/dt, and then substitute them into the arc length formula. Simplifying the expression inside the square root and integrating over the interval [0, 2], we can evaluate the integral to find the length of the curve.

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This study is an example of an experiment, but not a double-blind experiment.

An experiment is a method for gathering data under controlled circumstances in order to discover and comprehend causal correlations between variables. Researchers have a wide range of options for designs. The final decision is based on the study topic, available resources, objectives, and restrictions. A method with an unlimited number of possible outcomes, known as the sample space, is referred to as an experiment or trial in probability theory (see below). If there are several possible outcomes from an experiment, it is considered to be random; if there is just one, it is said to be deterministic.

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Step-by-step explanation:

first u gotta make the solutions on the other side a negative then keep the positive so now you've gotten rid of the lines so now I gotta solve both 4x-3<7 and 4x-3<-7 then solve liek you regular would with moving the 3 to the other side

4x<10 and 4x<-4 then divide both of them by the number itself to get x by itself

Answer:

Step-by-step explanation:

a. The area between -z and z is 0.2206, so we want to find the value of z such that P(-z < Z < z) = 0.2206.

The standard normal distribution is symmetric, so P(-z < Z < z) = 0.5 - P(Z < -z) = 0.5 - P(Z < -z) = 0.5 - 0.2206 = 0.2794

We can use a standard normal table to find the z-value such that P(Z < z) = 0.2794 which is z = 0.68.

b. The area to the left of z is 0.9951, so we want to find the value of z such that P(Z < z) = 0.9951.

We can use a standard normal table to find the z-value such that P(Z < z) = 0.9951 which is z = 2.33.

Answer:

-25

Step-by-step explanation:

-30+5 = -25

The length of a rectangular parking lot, given its perimeter and minimum required area, is determined by finding the bounds within which the length must lie. The length of the rectangle must lie within L ≤ 20 or L ≥ 200.

Let's denote the length of the rectangle as L and the width as W. The perimeter of a rectangle is given by the formula P = 2L + 2W, and the area is given by the formula A = L * W.

In this case, we are given that the perimeter is 440 feet and the minimum required area is 8000 square feet. Using the perimeter equation, we can express the width in terms of the length: W = (440 - 2L) / 2 = 220 - L.

Substituting this value of W into the area equation, we get A = L * (220 - L) = 220L - \(L^2\).

To find the bounds for the length, we need to consider the minimum and maximum values of L that satisfy the given conditions. Since the area must be at least 8000 square feet, we can set up the inequality: 220L - \(L^2\) ≥ 8000.

Simplifying the inequality, we have -\(L^2\) + 220L - 8000 ≥ 0. To solve this quadratic inequality, we can factor it: (L - 20)(L - 200) ≥ 0.

The roots of the equation are L = 20 and L = 200. The inequality holds true when L ≤ 20 or L ≥ 200.

Therefore, the length of the rectangle must lie within the bounds of L ≤ 20 or L ≥ 200.

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The probability that exactly two of the sampled individuals have used a discount broker is approximately 0.2217 or 22.17%.

To calculate the probability of exactly two individuals in a random sample of nine having used a discount broker, we can use the binomial probability formula.

The binomial probability formula is given by:

\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)x^{2}\)

Where:

- P(X = k) is the probability of exactly k successes,

- n is the total number of trials (sample size),

- p is the probability of success on a single trial (probability of an individual investor using a discount broker), and

- (n choose k) represents the number of combinations of n items taken k at a time.

In this case, n = 9 (sample size) and p = 0.30 (probability of an individual investor using a discount broker).

\(P(X = 2) = (9 choose 2) * (0.30)^2 * (1 - 0.30)^(9 - 2)\)

Using the binomial coefficient formula (n choose k) = n! / (k! * (n - k)!) to calculate (9 choose 2), we can plug in the values:

\(P(X = 2) = (9 choose 2) * (0.30)^2 * (1 - 0.30)^(9 - 2)\)

\(P(X = 2) = (9! / (2! * 7!)) * (0.30)^2 * (0.70)^7\)

\(P(X = 2) = (36 / 2) * (0.30)^2 * (0.70)^7\)

P(X = 2) = 36 * 0.09 * 0.08235456

P(X = 2) ≈ 0.2217

Therefore, the probability that exactly two of the sampled individuals have used a discount broker is approximately 0.2217 or 22.17%.

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Answer:

It depends if there is tax or not, if there isn't she can buy 8 of them.

Step-by-step explanation:

$17 is the total so we need to see how many $2 fit in $17.

8×2=16, and 16 is the closest number we can get to.

The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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Answer:

C

Step-by-step explanation:

add them and to me to close to 1 I might get it wrong cause the question got cut off

Step-by-step explanation:

1/3+4/7

7/21+12/21

19/21

Answer:x=-5+/-isquareroot of 95

———————————-

20

Step-by-step explanation:

The original price of the weather radio was approximately $69.95. After being discounted 20% a weather radio sells for $55. 96.

To find the original price of the weather radio, we can use the given information about the discounted price and the discount percentage.

Let's assume the original price of the weather radio is represented by "x".

If the radio is discounted by 20%, it means the selling price is 80% (100% - 20%) of the original price.

We can set up the equation:

0.8x = $55.96

To find the value of "x", we divide both sides of the equation by 0.8:

x = $55.96 / 0.8

x ≈ $69.95

Therefore, the original price of the weather radio was approximately $69.95.

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A true/false test with 9 questions can be answered in 512 different ways.

The number of ways a true/false question can be answered is 2 (either true or false). By the theorem of counting, the number of ways to answer a series of independent events (such as a series of true/false questions) is equal to the product of the number of ways each event can occur.

In this case, the number of ways to answer 9 independent true/false questions is 2 raised to the power of 9, or 2⁹ = 512. This means that there are 512 possible combinations of answers for a 9-question true/false test.

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The speed of the river is ...

.. (40 m/min)*(60 min/h)*((1 km)/(1000 m)) = 2.4 km/h

Here, we have,

speed = distance/time

Let d represent the distance between the ports. Let s represent the speed of the ship.

Downstream, we have

.. s +2.4 = d/4.5

.. s = d/4.5 -2.4

Upstream, we have

.. s -2.4 = d/6/3

.. s = d/6.3 +2.4

Now, we have the speed of the ship represented two ways. We assume the speed of the ship doesn't vary. so these are equal.

.. (d/6.3) +2.4 = (d/4.5) -2.4

.. 4.8 = d(1/4.5 -1/6.3) = d(4/63) . . . . . rearrange and simplify

.. 75.6 = d . . . . . . . . . . . . . . . . . . . . . . .multiply by 63/4

The distance between the two ports is 75.6 km.

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Answer

Explanation

Given:

To determine whether the relation defines y as a function of x, we get the domain first.

Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.

Hence, the interval notation is:

We can use vertical line test to determine if it is a function as shown in the graph below:

As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:

Function; domain

Nakeisha sold 8 lollipops and 5 fruit snacks yesterday to earn a total of $18.25.

Let's use a system of equations to solve this problem. Let x be the number of lollipops sold and y be the number of fruit snacks sold. From the problem, we know that:
- The price of each lollipop is $1.50, so the total amount of money earned from selling x lollipops is 1.5x.
- The price of each fruit snack is $1.25, so the total amount of money earned from selling y fruit snacks is 1.25y.
- Yesterday, Nakeisha made $18.25 from selling a total of 13 lollipops and fruit snacks, so we can write the equation:
1.5x + 1.25y = 18.25
We also know that Nakeisha sold a total of 13 lollipops and fruit snacks, so we can write the equation:
x + y = 13
Now we have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution:
- Rearrange the second equation to solve for one variable in terms of the other:
x + y = 13
y = 13 - x
- Substitute y = 13 - x into the first equation:
1.5x + 1.25y = 18.25
1.5x + 1.25(13 - x) = 18.25
- Simplify and solve for x:
1.5x + 16.25 - 1.25x = 18.25
0.25x = 2
x = 8
- Substitute x = 8 back into y = 13 - x to find y:
y = 13 - x
y = 13 - 8
y = 5
Therefore, Nakeisha sold 8 lollipops and 5 fruit snacks yesterday to earn a total of $18.25.

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Answer:

Explanation:

Step 1. Let h be the height of the cone:

and let d be the diameter of the circle:

From the diameter we can find the radius of the circle:

Step 2. To find the volume of a cone we use the following formula:

Step 3. Substituting the values of r and h into the formula:

Solving the operations:

The result is:

The volume is pi cubic miles.

Answer:

Let \(\vec K,\vec L,\vec M,\vec N\) be vectors pointing the vertices K, L, M, and N, respectively.

The side KL is parallel to and has the same length as the vector

\(\vec L - \vec K = (2\,\vec\imath + 3\,\vec\jmath + 3\,\vec k) - (2\,\vec\imath+2\,\vec\jmath+\vec k) = \vec\jmath + 2\,\vec k\)

Similarly, the side KN is parallel and as long as

\(\vec N - \vec K = (6\,\vec\imath+8\,\vec\jmath+\vec k) - (2\,\vec\imath+2\,\vec\jmath+\vec k) = 4\,\vec\imath+6\,\vec\jmath\)

These vectors have magnitudes

\(\|\vec L - \vec K\| = \sqrt{0^2 + 1^2 + 2^2} = \sqrt5\)

\(\|\vec N - \vec K\| = \sqrt{4^2 + 6^2 + 0^2} = 2\sqrt{13}\)

and their dot product is

\((\vec L - \vec K) \cdot (\vec N - \vec K) = 0\cdot4 + 1\cdot6+1\cdot0 = 6\)

The parallelogram spanned by the vectors \(\vec L-\vec K\) and \(\vec N-\vec K\) has area equal to the magnitude of their cross product, for which we have the identity

\(\bigg\|(\vec L - \vec K) \times (\vec N - \vec K)\bigg\| = \|\vec L - \vec K\| \|\vec N - \vec K\| \sin(\theta) \\\\ \implies \text{area} = 2\sqrt{65} \, \sin(\theta)\)

where \(\theta\) is the angle between the sides KL and KN.

From the dot product identity, we have

\((\vec L - \vec K) \cdot (\vec N - \vec K) = \|\vec L - \vec K\| \|\vec N - \vec K\| \cos(\theta) \\\\ \implies 6 = 2\sqrt{65} \cos(\theta)\)

Then

\(\cos(\theta) = \dfrac3{\sqrt{65}} \implies \sin(\theta) = \sqrt{1-\cos^2(\theta)} = 2\sqrt{\dfrac{14}{65}} \\\\ \implies \text{area} = 2\sqrt{65} \cdot 2\sqrt{\dfrac{14}{65}} = \boxed{4\sqrt{14}}\)

Answer:

1) 2/11

2) 2/121

Step-by-step explanation:

1. Because there are 2 E's, you have to chances out of your 11 changes, thus why the fraction 2/11 is the solution.

2. You know that 2/11 is the first fraction, so now find R. R has a 1/11 chance of getting chosen, so you multiply 2/11 and 1/11 to get 2/121.

Answer:

1) 2/11

2) 2/121

Step-by-step explanation:

To find the amount of sand that a box will hold, we would use the measure of volume.

Volume is the amount of space that an object or substance takes up in three dimensions, typically measured in cubic units. In the case of the box being filled with sand, we would use the volume of the box to determine how much sand it can hold. This can be calculated by multiplying the length, width, and height of the box together, which gives the total cubic units of volume. The resulting value would be in cubic units such as cubic inches, cubic feet, or cubic meters, depending on the units of measurement used.

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If A 20° sector in a circle has an area of 21.5 yd², the area of the circle is approximately 365.11 square yards.

The area of a sector of a circle can be calculated by the formula:

A = (θ/360) × πr²

where A is the area of the sector, θ is the angle of the sector in degrees, and r is the radius of the circle.

In this problem, we are given that the sector has an angle of 20° and an area of 21.5 yd². Therefore, we can write:

21.5 = (20/360) × πr²

Simplifying this equation, we get:

r² = (21.5 × 360) / (20 × π)

r² ≈ 116.23

Taking the square root of both sides, we get:

r ≈ 10.78

Now that we know the radius of the circle, we can find its area using the formula:

A = πr²

A ≈ 365.11 yd²

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Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(2 - 0) / (1 + 2)

2 / 3

= 2/3

Then, plug in the slope and a point into y = mx + b to solve for b:

y = mx + b

2 = 2/3(1) + b

2 = 2/3 + b

1 1/3 = b

Plug in the slope and y intercept into y = mx + b

y = 2/3x + 1 1/3 is the equation of the line

Option D is correct, the proportion which can be used to find the missing length is 12/3 = 20/x.

The given two triangles are similar.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

As the sides of the triangles are proportional.

We can form a proportional equation:

12/3 = 20/x

By using this equation we can form the value of x.

4=20/x

Apply cross multiplication:

x=20/4

x=5

Hence, the proportion which can be used to find the missing length is 12/3 = 20/x.

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Answer:

First I would suggest to use calculator soup.

Step-by-step explanation:

To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.

Answer:

i think 200

Step-by-step explanation:

With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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Answer:

The number of ways the grasshopper can reach the desired destination are 9 ways

Step-by-step explanation:

The directions in which the grasshopper can jump are;

One block north  and one block west

By counting, we have;

The number of possible ways are through blocks

1) 1, 2, 5, 6, 8, 10

2) 1, 2, 5, 6, 8, 9

3) 1, 2, 5, 6, 7, 9

4) 1, 2, 3, 6, 8, 10

5) 1, 2, 3, 6, 8, 9

6) 1, 2, 3, 6, 7, 9

7) 1, 2, 3, 4, 7, 9

8) 15, 14, 16, 12, 11, 10

9) 12, 13, 16, 12, 11, 10

Therefore, there 9 ways the grasshopper can reach the desired destination.

Answer:

9

Step-by-step explanation:

The amount of time spent in the bowl is 1 1/4 hours

From the question, we have the following parameters that can be used in our computation:

Total time = 1 1/2 hours

Time to rise = 1/4 hour

This means that

Time spent in the bowl = Total time - Time to rise

Substitute the known values in the above equation, so, we have the following representation

Time spent in the bowl = 1 1/2 - 1/4

Evaluate the like terms

Time spent in the bowl = 1 1/4

Hence, the time is 1 1/4 hours

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The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

You can eliminate answer choices B, C, and D, because the y-intercept doesn't fit. The y-intercept is where the line crosses the y-axis. There's no way it could be 6 or -1/4.

So now it's between A and D. In the image, the line is going down so we know the slope is negative, and slope is rise/run. It goes down about 1 and to the right about 4.

Meaning A is the only option that makes sense.