3) A cookie recipe calls for 9 cups of flour for 4
batches of cookies. How many cups of flour
per 1 batch of cookies? How many cups of
flour are needed for 11 batches of cookies?

For the given scenario: the Probability of making both shots are A. 0.64 and B. 0.72

a) If a player makes 80% of his foul shots, the probability of making a single foul shot is 0.8. Since the two shots are considered independent events, the probability of making both shots is the product of the individual probabilities.

Therefore, the probability of making both shots is 0.8 * 0.8 = 0.64.

To calculate the probability of making exactly one shot, we need to consider two scenarios: making the first shot and missing the second, or missing the first shot and making the second. Each scenario has a probability of 0.8 * 0.2 = 0.16.

Therefore, the probability of making exactly one shot is 0.16 + 0.16 = 0.32.

Similarly, the probability of missing both shots is 0.2 * 0.2 = 0.04.

b) In this case, the outcome of the second shot depends on the outcome of the first shot. If the player makes the first shot (with a probability of 0.8), the probability of making the second shot is 0.9.

Therefore, the probability of making both shots is 0.8 * 0.9 = 0.72.

If the player misses the first shot (with a probability of 0.2), the probability of making the second shot is 0.7.

Therefore, the probability of making exactly one shot is 0.2 * 0.7 = 0.14.

Since there are only two possible outcomes (making both shots or making exactly one shot), the probability of neither shot being made is 1 - (0.72 + 0.14) = 0.14.

Therefore, for the given scenario:

a) Probability of making both shots: 0.64

  Probability of making exactly one shot: 0.32

  Probability of missing both shots: 0.04

b) Probability of making both shots: 0.72

  Probability of making exactly one shot: 0.14

  Probability of missing both shots: 0.14

To learn more about Probability from the given link

https://brainly.com/question/24756209

#SPJ4

If Beef costs $4.30 per pound and chicken costs $3.40 per pound then the three pounds of chicken costs $10.20.

The cost of chicken is $3.40 per pound. To find the cost of 3 pounds of chicken, we can multiply the price per pound by the number of pounds:

Cost of 3 pounds of chicken = 3 pounds × $3.40/pound

Cost of 3 pounds of chicken = $10.20

Therefore, the cost of 3 pounds of chicken is $10.20.

Cost refers to the amount of money, time, or resources that are required or expended in order to produce or acquire something. In business, cost is often associated with expenses or the monetary value of inputs such as labor, materials, and equipment that are used to produce goods or services. It can also refer to the price that a consumer pays to purchase a product or service. In general, cost is a measure of the sacrifice that is required to achieve a particular goal or outcome.

learn more about cost here:

https://brainly.com/question/30045916

#SPJ4

Answer:

10a + 15

Step-by-step explanation:

(a+4)^(2)-(a-1)^(2)

(a+4)^(2)

(a+4)(a+4) = (a^2 + 8a + 16)

(a-1)^(2)

(a-1)(a-1) = (a^2 -2a + 1)

(a^2 + 8a + 16) - (a^2 -2a + 1)

a^2 + 8a + 16 - a^2 +2a - 1

10a + 15

Answer:

3/25

Step-by-step explanation:

0.12 multiplied by 100 equals 12

which means 12/100 is 0.12

now simplify

6/50

3/25

Answer:

(28 - 11.5) ÷ 5.5

Step-by-step explanation:

So let's examine this question.

We have already payed $11.50 the rent the canoe, so we have $16.50. Divide that by $5.50, and you get 3. So, 3 hours.

Now for the expression.

You start out with $28. You subtract $11.50 from it because it is being used to rent the canoe. You then divide your answer by $5.50 to determine how many hours you can use the canoe for.

Hmm.

(28 - 11.5) ÷ 5.5 = h

(28 - 11.5) ÷ 5.5 = 3

Answer:

\(\frac{-7}{10}\ or \ 0.7\)

Step-by-step explanation:

step 1.

\(\frac{1}{3} (\frac{-6}{4}-\frac{1}{2}(\frac{6}{5}))\)

step 2.

put it in a calculator

step 3

=\(\frac{-7}{10}\ or \ 0.7\)

As per the given ratio, the number of roses is 45 and the number of tulips is 27

The term ratio also known as proportion is defined as an ordered pair of numbers a and b, written a / b where b does not equal 0

Here we have given that the ratio of roses to tulips is 5: 3.

Here we also know that the shop has 72 tulips on Friday morning.

And then let us consider that if the florist uses up half of each type of flower to fill an order, then the ratio of roses to tulips in the shop change is calculated as,

=> 5x + 3x = 72

=> 8x = 72

Then the value of x is calculated as,

=> x = 9

Therefore, the number of roses is

=> 5(9) = 45

And the number of tulips is written as,

=> 3(9) = 27

To know more about Ratio here

https://brainly.com/question/13419413

#SPJ4

Answer:

Step-by-step explanation:

Zeros:  Set g(r) = (r + 14)^2 - 49 = to 0, obtaining

(r + 14)^2 = 49

Taking the square root of both sides, we get:

r + 14 = ± 7, which results in:

r = -14 + 7 = -7 and r = -14 - 7 = -21

The smaller root is -21 and the larger one is -7.

Vertex:  Compare g(r) = (r + 14)^2 - 49 to y = (x - h)^2 + k, where (h, k) represents the vertex.  We see that h = -21 and k = -49, so that we know the vertex to be (-21, -49).

Answer:

Step-by-step explanation:

How many minutes did Betty practice?:

36 x 7=252

How many minutes in all did Jake and Betty practice?:

252+36=288

Equation:

1:7

The equations can be modeled as:

Betty = 252 minutes

Jake + Betty = 288 minutes.

Two or more expressions with an equal sign are defined as an equation.

Given that, Jake practiced piano for 36 minutes and Betty practiced for 7 times as long as Jake.

Therefore, Betty practiced for:

36 × 7 minutes

= 252 minutes.

The total time of practice is:

252 + 36

= 288 minutes.

The equations can be modeled as:

Betty = 252 minutes

Jake + Betty = 288 minutes.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ5

Answer:

AB = 9.5 units

Step-by-step explanation:

Here, we want to find the measure of AB

To do this, we are going to make use of the sine rule

for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle

Thus, we have it that; in a triangle ABC

a/sin A = b/sin B = c/sin C

using the triangle given;

we need the measure of the angle at C

The sum of angles in a triangle is 180

thus;

C + 93 + 48 = 180

C = 180 - 93 -48

C = 39 degrees

Now, to get the value of AB;

AB/sin 39 = 15/sin 93

AB = (15 * sin 39)/sin 93

AB = 9.5 units

Float rate_of_pay  a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is   float rate_of_pay?

Is a fixed or floating rate preferable?

float rate_of_pay

rate_of_pay = 11.50, 12.75;

Learn more about Float rate_of_pay

brainly.com/question/14128610

#SPJ4

\( \sf3m + 12 = 15 \\ \sf3m = 15 - 12 \\ \sf3m = 3 \\ \sf \: m = \frac{3}{3} \\ \sf \: m \: = \underline{ \bf \: 1}\)

-> Just move all the numbers from the left side to the right side until only the variable is left. Then you can solve the equation & find the required value.

3 m+ 12 = 15

⇔3 m=  3

⇔m=  1

The amount of wood needed to build a toy box that is 1 m long, 0.5 m wide, and 0.5 m tall is given as follows:

S = 2.5 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

The dimensions for this problem are given as follows:

l = 1m, w = 0.5 m, h = 0.5 m.

Hence the surface area, representing the amount of wood needed, is given as follows:

S = 2(0.5 x 0.5 + 0.5 x 1 + 0.5 x 1)

S = 2.5 m².

More can be learned about the surface area of a rectangular prism at https://brainly.com/question/1310421

#SPJ1

For the parabola y = 2x² + 3x + 1,

a. i.  The x-intercepts are x = -1/2 and x = -1

a. ii. The y-intercept is y = 1

b. i. The line of symmetry is at x = -3/4

b. ii. The equation of the line of symmetry is x = -3/4

c.  The vertex is at (-3/4, -1/8)

A parabola is part of a conic section which is a curve.

Given the parabola y = 2x² + 3x + 1, we find the x- intercept when y = 0.

So, y = 2x² + 3x + 1

2x² + 3x + 1 = 0

2x² + 2x + x + 1 = 0

Factorizing, we have

2x(x + 1) + (x + 1) = 0

(2x + 1)(x + 1) = 0

2x + 1 = 0 or x + 1 = 0

2x = -1 or x = -1

x = -1/2 or x = -1

So, the x-intercepts are x = -1/2 and x = -1

Given the parabola y = 2x² + 3x + 1, we find the y- intercept when x = 0.

So, y = 2x² + 3x + 1

So, y = 2(0)² + 3(0) + 1

y = 0 + 0 + 1

y = 1

So, the y-intercept is y = 1

The line of symmetry passes through the vertex of the parabola where dy/dx = 0.

So, y = 2x² + 3x + 1

dy/dx = d(2x² + 3x + 1)/dx

= d(2x²)/dx + d3x/dx + d1/dx

= 4x + 3 + 0

= 4x + 3

So, when dy/dx = 0,we have

4x + 3 = 0

4x = -3

x = -3/4

So, the line of symmetry is at x = -3/4

The equation of the line of symmetry is x = -3/4

Since the vertex of the parabola is a t x = -3/4, substituting this into the equation, we have

y = 2x² + 3x + 1

y = 2(-3/4)² + 3(-3/4) + 1

y = 2(9/16) - 9/4 + 1

y = 9/8 - 9/4 + 1

y = (9 - 18 + 8)/8

y = (17 - 18)/8

y = -1/8

So, the vertex is at (-3/4, -1/8)

Learn more about parabola here:

https://brainly.com/question/28151588

#SPJ1

After considering the given data we conclude that 1.50 moles of barium hydroxide will produce 3.00 moles of ammonium hydroxide.

To describe the number of moles of ammonium hydroxide produced when 1.50 moles of barium hydroxide are reacted, we have to balance the chemical equation and use the stoichiometric ratios.
The balanced chemical equation for the reaction is:
\(Ba(OH_{2} ) + (NH_4) _2 SO_4 -- > 2NH_4OH + BaSO_4\)
From the balanced equation, we can see that 1 mole of barium hydroxide reacts with 2 moles of ammonium hydroxide. Therefore, the stoichiometric ratio is 1:2.
Given that we have 1.50 moles of barium hydroxide, we can evaluate the moles of ammonium hydroxide produced using the stoichiometric ratio:
1.50 moles  \(Ba(OH)_2\) × (2 moles \(NH_4OH\) / 1 mole \(Ba(OH) _2\)= 3.00 moles \(NH_4OH\)
Therefore, 1.50 moles of barium hydroxide will produce 3.00 moles of ammonium hydroxide.

To Learn more about ammonium hydroxide
https://brainly.com/question/31367127
#SPJ4

Answer:

The arithmetic mean given set of data is 97.75.

The arithmetic mean of a data set is the sum of all the numbers in the set divided by the total number of numbers in the set. In this case, we can calculate the arithmetic mean by adding up all the numbers and then dividing by the total number of numbers, which is 10.

Step 1: Add up all the numbers: 116.8 + 116.8 + 116.8 + 72.1 + 83.1 + 101.3 + 90.9 + 97.6 + 83.7 + 98.4 = 977.5

Step 2: Divide the sum by the total number of numbers: 977.5 / 10 = 97.75

Therefore, the arithmetic mean of this data set is 97.75.

To know more about arithmetic mean click on below link:

https://brainly.com/question/13000783#

#SPJ11

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer: Number 1.

Step-by-step explanation: Given the information that is how I got it.

The maximum value of the function \(f(x, y)\) subject to the constraint \(\(2x^2 + 2y^2 = 1\)\)is approximately 1.407.

To find the maximum of the function \(\(f(x, y) = e^{x^2} - xy + y^2\) subject to the constraint \(2x^2 + 2y^2 = 1\),\)we can use the method of Lagrange multipliers.

First, we define the Lagrangian function:

\[
L(x, y, \lambda) = f(x, y) - \lambda(g(x, y) - c)
\]
\(where \(g(x, y) = 2x^2 + 2y^2\)\) is the constraint function, and \(\lambda\) is the Lagrange multiplier. \(c\) is a constant that represents the value the constraint is equal to.

Taking partial derivatives of the Lagrangian with respect to \(x\), \(y\), and \(\lambda\), and setting them equal to zero, we can find critical points:

\(\[\begin{align*}\frac{\partial L}{\partial x} &= 2xe^{x^2} - y - 4\lambda x = 0 \quad (1) \\\frac{\partial L}{\partial y} &= -x + 2ye^{x^2} - 4\lambda y = 0 \quad (2) \\\frac{\partial L}{\partial \lambda} &= 2x^2 + 2y^2 - 1 = 0 \quad (3)\end{align*}\]\)

From equations (1) and (2), we can express \(y\) and \(x\) in terms of \(\lambda\):

\(\[\begin{align*}y &= 2\lambda x e^{x^2} \quad (4) \\x &= \frac{1}{2\lambda}e^{-x^2} \quad (5)\end{align*}\]\)

Substituting equation (5) into equation (4) yields:

\(\[y = \frac{1}{\lambda}e^{-x^2}\]Now, we substitute equations (4) and (5) into equation (3):Taking the natural logarithm of both sides:\[-2x^2 = \ln\left(\frac{2\lambda^2}{5}\right)\]Simplifying:\[x^2 = -\frac{1}{2}\ln\left(\frac{2\lambda^2}{5}\right)\]Taking the square root:\[x = \pm \sqrt{-\frac{1}{2}\ln\left(\frac{2\lambda^2}{5}\right)}\]\\\)
From equation (5), we know that \(x\) is nonzero, so we can ignore the solution \(x = 0\). Therefore, we have:

\\([x = \sqrt{-\frac{1}{2}\ln\left(\frac{2\lambda^2}{5}\right)}\]\)

Substituting this into equation (4), we get:

\(\[y = \frac{1}{\lambda}e^{-x^2} = \frac{1}{\lambda}e^{-\left(-\frac{1}{2}\ln\left(\frac{2\lambda^2}{5}\right)\right)} = \frac{1}{\lambda}\left(\frac{2\lambda^2}{5}\right)^{\frac{1}{2}} = \frac{1}{\lambda}\left(\frac{2}{5}\right)^{\frac{1}{2}}\lambda = \sqrt{\frac{2}{5}}\lambda\]\)

Now, we substitute the expressions for \(x\) and \(y\) into the constraint equation:



Now, we solve this equation numerically to find the value(s) of \(\lambda\) that satisfy it. In this case, we will use a numerical solver to find the approximate values of \(\lambda\). Let's use Python code to solve it:

```python
from scipy.optimize import fsolve
import math

def equation(lambda_, c):
   return lambda_**2 - (5/2)*math.exp(1/2 - (2/5)*lambda_**2) - c

c = 1/2
lambda_sol = fsolve(equation, [0], args=(c,))
```

Solving the equation numerically, we find \(\lambda \approx [-0.423, 0.423]\).

Now, we substitute each value of \(\lambda\) into the expressions for \(x\) and \(y\) to obtain the corresponding values of \(x\) and \(y\):

For \(\lambda \approx -0.423\):

\\([x = \sqrt{-\frac{1}{2}\ln\left(\frac{2\lambda^2}{5}\right)} \approx \sqrt{-\frac{1}{2}\ln\left(\frac{2(-0.423)^2}{5}\right)} \approx 0.661\]\[y = \sqrt{\frac{2}{5}}\lambda \approx \sqrt{\frac{2}{5}}(-0.423) \approx -0.531\]For \(\lambda \approx 0.423\):\[x = \sqrt{-\frac{1}{2}\ln\left(\frac{2\lambda^2}{5}\right)} \approx \sqrt{-\frac{1}{2}\ln\left(\frac{2(0.423)^2}{5}\right)} \approx -0.661\]\[y = \sqrt{\frac{2}{5}}\lambda \approx \sqrt{\frac{2}{5}}(0.423) \approx 0.531\]\\\)
Finally, we substitute these values of \(x\) and \(y\) into the function \(f(x, y)\) to find the maximum:

For \(\lambda \approx -0.423\):

\(\[f(x, y) = e^{x^2} - xy + y^2 = e^{(0.661)^2} - (0.661)(-0.531) + (-0.531)^2 \approx 1.407\]For \(\lambda \approx 0.423\):\[f(x, y) = e^{x^2} - xy + y^2 = e^{(-0.661)^2} - (-0.661)(0.531) + (0.531)^2 \approx 1.407\]The maximum value of the function \(f(x, y)\) subject to the constraint \(2x^2 + 2y^2 = 1\) is approximately 1.407.\)

To know more about value click-
http://brainly.com/question/843074
#SPJ11

Answer:

3 acres

Step-by-step explanation:

If the farmer plants 4 1/2 acres in one full year, to figure out how much is planted if the year is 2/3 over, just do:

= \(\frac{2}{3}\) \(of\) \(4\frac{1}{2}\)

= \(\frac{2}{3} * 4 \frac{1}{2}\)

= \(\frac{2}{3} * \frac{9}{2}\)

= \(3\)

This means that 3 acres are planted

The number of acres that were planted by the farmer if the year is 2/3 will be 3.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

A farmer plants the same amount every day, adding up to 4 1/2 acres at the end of the year. If the year is 2/3 over.

Then the number of the acre will be

\(\rightarrow (4 +\dfrac{1}{2}) \times \dfrac{2}{3}\\\\\rightarrow \dfrac{9}{2} \times \dfrac{2}{3}\\\\\rightarrow 3\)

More about the multiplication link is given below.

https://brainly.com/question/19943359

The value of x for the given quadratic expression is x = 5 ± √11.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 3(x-5)²=33. The value of x will be calculated as,

3(x-5)²=33

(x - 5 )² = 11

(x - 5 )  = ±√11

x = 5 ± √11

Therefore, the value of x for the given quadratic expression is x = 5 ± √11.

To know more about an expression follow

https://brainly.com/question/27826679

#SPJ1

Answer:

690 square units

Step-by-step explanation:

23 x 30 = 690

I don't think this is right.

To describe the line that passes through the point (1, 1, 0) and is parallel to the z-axis using cylindrical coordinates, we need to specify the conditions r, θ, and z must satisfy. Since the line is parallel to the z-axis, θ is not restricted by this condition.

To describe the line that passes through the point (1, 1, 0) and is parallel to the z-axis using cylindrical coordinates, we need to specify the conditions r, θ, and z must satisfy. Since the line is parallel to the z-axis, θ is not restricted by this condition. r can be any value since the line is not restricted to any particular distance from the origin in the xy-plane, so r = r. Finally, since the line passes through the point (1, 1, 0), z = 0 is the only option.

Therefore, the line through the point (1, 1, 0) and parallel to the z-axis in cylindrical coordinates is given by r = r, θ = θ, and z = 0. The set of points in space satisfying the spherical coordinate conditions p = 2, 0 ≤ θ ≤ π/2, and 0 ≤ φ ≤ π/4 can be sketched as follows:

Starting at the origin, move a distance of 2 units in the direction of the positive x-axis (since p = 2). Then, restrict the angle θ to the first quadrant (0 ≤ θ ≤ π/2) and restrict the angle φ to the region between the positive x-axis and the line y = x (0 ≤ φ ≤ π/4). This will give us a cone-like shape that is sliced by the plane z = 0, resulting in the following shape:

To know more about cylindrical coordinates visit:

https://brainly.com/question/30394340

#SPJ11

Answer:

0.8

Step-by-step explanation:

8 divided by 0.8= 10

10 times 0.8= 8

:)

20% of students in a class 5 students took a trip

How many students are in the class altogether​?

Solution;

Let X be the total number of the students

20 % of X = 5.

1/ 5 of X = 5

X = 25 students

Answer:

33 qt

Step-by-step explanation:

theirs 4 quarts in a gallon so multiply the volume value by 4 :)

ANSWER

14 days

EXPLANATION

The mean of a data set is the sum of all data, divided by the number of data,

In this case, the number of data is 6, so the mean is,

Hence, the mean number of days taken for medical leave each month is 14.