At the Candy Corner, one

pound of candy costs $6. 49. How

much would it cost if Joey

bought. 79 pounds of candy?

There are no blue crayons in the box, so the probability of picking two blue crayons is 0. Therefore, the answer is none of the options provided.

Alternatively, we can use basic probability rules to calculate the probability of picking two crayons with a specific color. Since there are 12 crayons in total, Frieda has 12 choices for her first pick. After she picks one crayon, there are 11 crayons left in the box, so she has 11 choices for her second pick. The total number of ways to pick two crayons from the box is the product of these two numbers: 12 x 11 = 132.

To calculate the probability of picking two crayons with a specific color, we need to count the number of ways that Frieda can pick two crayons of that color. In this case, there are no blue crayons in the box, so the number of ways to pick two blue crayons is 0. Therefore, the probability of picking two blue crayons is 0/132 = 0.

In general, the probability of picking two crayons with the same color is the product of the probability of picking the first crayon with that color and the probability of picking the second crayon with that color, given that the first crayon was already picked. For example, the probability of picking two red crayons is (2/12) x (1/11) = 1/66, since there are 2 red crayons in the box on the first pick, and if one red crayon is picked, there is only 1 red crayon left in the box for the second pick. Similarly, the probability of picking two green crayons is (3/12) x (2/11) = 1/22.

The answer is none of the options provided.

For such more questions on probability

https://brainly.com/question/25839839

#SPJ8

The inequality which correctly represents the given word phrase is; x + 3 < 19 - x.

It follows from the task content that the inequality which correctly represents the word phrase be determined.

Let the number in discuss be x.

The sum of the number and three is; x + 3.

19 less than the number is; 19 - x.

Ultimately, the algebraic expression as required is;

x + 3 < 19 - x.

Read more on algebraic expressions;

https://brainly.com/question/2164351

#SPJ1

The measurement of the angle OP is 39

The given parameters that will help us to answer the question are

R is mid point of OQ

S is mid point of PQ

RS = 3x + 38

OP = 4x- 14

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

This implies that So,

[1/2][3x + 38] = [4x- 14]

[3x+38] = 2[4x- 14]

Opening the brackets we have

3x+38=8x-28

Collecting like terms

3x-8x=-28-38

-5x=-66

Making x the subject of the relation we have

x = -66 / -5

x = 13.2

Therefore RS = 3(13.2) + 38 = -11.4

OP = 4(13.2)- 14=38.8

Measurement of OP = 39 approximately

Learn more about measure of angles on https://brainly.com/question/14684647

#SPJ1

6% of a length is 570m and the original length can be calculated by dividing 570m by 0.06, resulting in 9500m.

To calculate the original length given that 6% of it is 570m, we can use the following formula: Original length = (570 ÷ 0.06) Original length = 9500mTo solve this problem, firstly the percentage of 6% needs to be converted into a decimal by dividing 6 by 100. This will give us 0.06. Then, the original length is found by dividing the given value of 6% (570m) by the decimal equivalent (0.06). Therefore, the original length is 9500m. To summarise, 6% of a length is 570m and the original length can be calculated by dividing 570m by 0.06, resulting in 9500m.

Learn more about length here:

https://brainly.com/question/30625256

#SPJ4

Answer:

Slope: 2/1

equation: y=2/1x+2

Hey there mate!

Please check the attached answer of picture for explanation.

\(Have \: a \: great \: day! \: :)\)

Answer:

\(\sf \dfrac{dy}{dx} =\sf \bold{ -nx\cot \left(x\right)\csc ^n\left(x\right) + \csc ^n\left(x\right)}\)

solve:

\(\sf y = \dfrac{d}{dx}\left(\dfrac{x}{sin^nx}\right)\)

\(\hookrightarrow \sf \bold{ \sf \dfrac{dy}{dx} =\sf \dfrac{d}{dx}\left(\dfrac{x}{sin^nx}\right)}\)

// apply rule:  \(\sf \dfrac{1}{sinx} = csc(x)\) //

\(\hookrightarrow \sf \bold{ \sf \dfrac{dy}{dx} =\sf \dfrac{d}{dx}\left(x\csc ^n\left(x\right)\right)}\)

// apply product rule:  \(\sf xsinx = x * \frac{d}{dx} (sinx) + sin(x) *\frac{d}{dx} (x)\) //

\(\hookrightarrow \sf \bold{\sf x *\frac{d}{dx} (csc^n (x))+ csc^n (x) * \dfrac{d}{dx} (x)}\)

Lets look into deeper differentiation separately:

\(\sf we \ must \ know \ that \ \dfrac{d}{dx} (x)} = 1\)

now, for \(\sf \frac{d}{dx} (csc^n (x))\)  - apply chain rule

\(\rightarrow \sf n\left(\csc \left(x\right)\right)^{n-1}\dfrac{d}{dx}\left(\csc \left(x\right)\right)\)

 \(\sf \bold \ * we \ must \ know \ that \ \dfrac{d}{dx} (csc(x)) = -cot(x) csc(x)\)

\(\sf \rightarrow n\left(\csc \left(x\right)\right)^{n-1}\left(-\cot \left(x\right)\csc \left(x\right)\right)\)

\(\rightarrow \sf -n\cot \left(x\right)\csc ^{n-1+1}\left(x\right)\)

\(\rightarrow \sf -n\cot \left(x\right)\csc ^n\left(x\right)\)

Now finish:

\(\hookrightarrow \sf x * -n\cot \left(x\right)\csc ^n\left(x\right) + \csc ^n\left(x\right) *1\)

\(\hookrightarrow \sf \bold{ -nx\cot \left(x\right)\csc ^n\left(x\right) + \csc ^n\left(x\right)}\)

So, the volume of the can in cubic centimeters is 61.99 cm^3. If we round to the nearest tenth, the volume of the can is 62 cm^3.

A can of soda can be modeled as a right cylinder, which is a three-dimensional geometric shape with two circular bases that are connected by a curved surface. The volume of a cylinder can be calculated using the formula:

V = πr^2h

Where V is the volume, π is a constant (approximately equal to 3.14), r is the radius of the base and h is the height of the cylinder.

Given that the radius of the can is 2.6 cm and the height is 9.2 cm, we can substitute these values into the formula:

V = π (2.6 cm)^2 (9.2 cm)

To get the area of the base we need to square the radius and multiply by π, and then multiply it by the height to get the volume.

V = π * 6.76 * 9.2 = 61.99 cm^3

So the volume of the can in cubic centimeters is 61.99 cm^3. If we round to the nearest tenth, the volume of the can is 62 cm^3. This means that the can can hold 62 cubic centimeters of liquid.

It's worth noting that this is an approximation and the real value of π is not 3.14. Also, this answer is based on the assumption that the can is a perfect cylinder with no other gaps or spaces.

To learn more about Volume of figures

visit; brainly.com/question/10184308

#SPJ4

The required side length of the variable "x" is 12.8 units for the given figure.

When a line parallel to one side of a triangle intersects the other two sides in distinct spots, the other two sides are separated in the same ratio.

As we can see that both are similar quadrilaterals,

According to Thales's Theorem,

5:8 = 8:x

So, 5/8 = 8/x

Apply the cross-multiplication, and we get

5x = 8 × 8

x = 64/5

Apply the division operation, and we get

x = 12.8

Thus, the required side length of the variable "x" is 12.8 units.

Learn more about Thales's theorem here:

https://brainly.com/question/29626660

#SPJ1

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

Learn more about the triangle inequality theorem on:

https://brainly.com/question/309896

#SPJ1

Answer:

look at the photo...............

Answer:

y=0.2

Step-by-step explanation:

it will give you 5/22 and the decimal form will be 0.2272727...... and rounded to the nearest tenth will be 0.2

The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

To learn more about vector link is here

brainly.com/question/29740341

#SPJ4

The rate of change of the side of the square is 1.5 centimeters per second when the area is 3 square centimeters.

Let's denote the side length of the square as s, and the area of the square as A. Then we know that \(A = s^2\). We are given that \(dA/dt = 30 cm^2/s\), which means that the area of the square is increasing at a rate of \(30 cm^2/s\). We want to find ds/dt, the rate of change of the side of the square.

Using the chain rule, we have:

\(dA/dt = d/dt (s^2) = 2s ds/dt\)

Solving for ds/dt, we get:

\(ds/dt = (1/2s) dA/dt\)

When the area is \(3 cm^2\), the side length is \(s = \sqrt{3} cm\). Plugging in dA/dt = 30 cm^2/s and s = sqrt(3) cm, we get:

\(ds/dt = (1/2(\sqrt{3})) (30) = 1.5 cm/s\)

Therefore, the rate of change of the side of the square is 1.5 cm/s when the area is 3 cm^2.

For more questions like Area visit the link below:

https://brainly.com/question/24159256

#SPJ11

Step-by-step explanation:

A. total mass = 9 + (x × 1.2)

B. 21 - 9 = 12kg

12 ÷ 1.2 = 10 articles.

hope it helps. :)

Answer:

A. 42 peaches and 56 strawberries

Step-by-step explanation:

3 · 14 = 42

4 · 14 = 56

9514 1404 393

Answer:

  $6.87

Step-by-step explanation:

The cost of 0.6 pounds of blueberries is ...

  (0.6 lb)($3.98/lb) = $2.39

The cost of 1.8 pounds of clementines is ...

  (1.8 lb)($2.49/lb) = $4.48

Then the total cost of the purchase is ...

  $2.39 +$4.48 = $6.87

The combined cost is $6.87.

Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

The function is given as `f(x) = x + 16/x`.Find the critical numbers, the intervals on which `f(x)` is increasing, the intervals on which `f(x)` is decreasing, and the local extrema of the function `f(x)`.

Critical numbers occur where

`f'(x) = 0` or `f'(x)`

is undefined. We solve

`f'(x) = 0` for `x`.`f'(x) = 0` ⇒ `1 - 16/x² = 0` ⇒ `16/x² = 1` ⇒ `x² = 16` ⇒ `x = ±4`.

Thus, `f(x)` has two critical numbers,

`x = 4`

and

`x = -4`

To find the intervals of increasing and decreasing, we consider the sign of `f'(x)` in the intervals between the critical points:

`f'(x) > 0` if `x < -4` or `x > 4` ⇒ `f(x)`

is increasing on

`(-∞,-4)` and `(4,∞)``f'(x) < 0` if `-4 < x < 4` ⇒ `f(x)`

is decreasing on `(-4,4)`The local extrema occur at the critical numbers

`x = 4` and `x = -4`. At `x = -4`, `f(x)`

changes from decreasing to increasing.

so we have a local minimum at

`x = -4`. At `x = 4`, `f(x)`

changes from increasing to decreasing, so we have a local maximum at

`x = 4`.

Thus, the critical numbers of

`f(x) = x + 16/x` are `-4` and `4`.

The function is decreasing on the interval `(-4,4)` and increasing on `(-∞,-4)` and `(4,∞)`. It has a local minimum at `x = -4` and a local maximum at

`x = 4`.

Therefore, the correct choice is as follows.a. The critical number(s) is(are) `-4` and `4`. Answer: a.

To know more about numbers visit:

https://brainly.com/question/24908711

#SPJ11

The commission of the agent is 196000

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

Commission percentage = 7%

Earnings = 2.8 million

Using the above as a guide, we have the following:

Commission = 7% * Earnings

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

Commission = 7% * 2.8 million

Evaluate

Commission = 196000

Hence, the commission is $196000

Read more about commission at

https://brainly.com/question/26283663

#SPJ1

Answer:

18x = -100 is the simplified form

Step-by-step explanation:

(3/4x) + 5 = (5/6)

3/4x (*24) + 5 (*24) = 5/6 (*24)

18x + 120 = 20

Answer:

=7.2×10⁵

is in scientific notation

\( \: \: \: \: \: \)

Step-by-step explanation:

\(720000\)

\(7.2 \times 1 {0}^{5} \)

while shopping for clothes, Daniel spent $26 less than 2 times what curtis spent. Daniel spent $10. write and solve an equation to find how much curtis spent. let x represent how much curtis spent​

Let

x ------> amount that Curtis spent

we have that

10=2x-26 ------> equation that represent this situation

solve for x

2x=10+26

2x=36

x=$18

therefore

The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

Learn more about chi-square here

https://brainly.com/question/4543358

#SPJ11

Answer:

y

Step-by-step explanation:

Answer:

\(y = {ax}^{2} \\ 18 = (a \times {3}^{2} ) \\ 18 = 9a \\ a = 2\)

Answer:

Step-by-step explanation:

Given μA = $2.78, σA = $0.25, μB = $2.45, σB = $0.20, you want ...

The probabilities of interest are found using the CDF function of a suitable calculator or spreadsheet.

(a) P(A < $2.50) ≈ 0.1314

(b) P(B < $2.50) ≈ 59.87%

(c) P(B > $2.78) ≈ 0.0495

__

Additional comment

We note that you have provided your own answers to these questions. The answer you give for question B is not given as the percentage requested.

<95141404393>

D is the correct answer

hope that helps

Answer:

\(p=61\)

Step-by-step explanation:

Since 52° and m° are vertical angles, and vertical angles are congruent, we know that \(m=52\). Now, because the sum of interior angles in a triangle is 180°, we can write the following equation to find p:

\(52 + 67+p=180\)

Solving for p, we get:

\(52+67+p=180\\119+p=180\\p=61\)