A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.

There are approximately 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.

Anna has 2 dozen Rollo bars, which is equivalent to 2 x 12 = 24 Rollo bars.

She also has 1 dozen apples, which is equivalent to 1 x 12 = 12 apples.

So, Anna has a total of 24 + 12 = 36 treats to hand out.

Now, she needs to hand out 1 treat to each of the 36 children who come to her door.

This can be thought of as selecting 1 treat from the total of 36 treats for each child, without replacement, as each child can only receive 1 treat.

The number of ways to do this is given by the concept of permutations, denoted by "nPr", which is calculated as;

nPr = n! / (n - r)!

where n is the total number of items (treats) to choose from, and r is the number of items (treats) to choose.

In this case, n = 36 (total number of treats) and r = 36 (number of children).

Plugging in the values, we get;

36P36 = 36! / (36 - 36)! = 36! / 0! = 36!

Since 0! (0 factorial) is equal to 1, we can simplify further:

36! / 1 = 36!

36! ≈ 3.72 x 10⁴¹

So, there are 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.

To know more about treat here

https://brainly.com/question/8876653

#SPJ1

The null hypothesis (H₀) states that the population mean lifetime (µ) of light bulbs made by the manufacturer is 42 months, while the alternative hypothesis (H₁) states that the population mean lifetime differs from 42 months.

H₀: µ = 42

H₁: µ ≠ 42

Since the population standard deviation (o) is known, and the sample size (n) is large (27 bulbs), we can use the z-test statistic.

The formula for the z-test statistic is:

z = (x- µ) / (σ / √n)

where x is the sample mean, µ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the given values:

x = 43 (sample mean)

µ = 42 (assumed population mean)

σ = 9 (population standard deviation)

n = 27 (sample size)

Calculating the z-test statistic:

z = (43 - 42) / (9 / √27) ≈ 0.707

To find the p-value associated with the z-test statistic, we need to look it up in the z-table or use statistical software. In this case, the p-value is approximately 0.479.

Since the p-value (0.479) is greater than the significance level (0.10), we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the population mean lifetime of light bulbs made by this manufacturer differs from 42 months at the 0.10 level of significance.

In this case, the p-value is 0.094, which is greater than 0.10. Therefore, we fail to reject the null hypothesis.

To know more about t-tests, refer here:

https://brainly.com/question/1189751#

#SPJ11

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

The total distance is 129

Step-by-step explanation:

In order to answer this question you will need to find 2 distances and then add them to each other.

Begin at -29.  How far will you have to move to the right 29 in order to get to 0?

Now how far will you have to more to get from 0 to 100?

Draw an open number line to help you.

_____________________________________________________

-29                                           0                                                   100

Your first distance is 29.  Your second distance is 100.

The total distance is 129.

Answer:

I cant see the picture

Step-by-step explanation:

Split the equation into two separate equations (one with a positive and one with a negative), and then solve both equations.

POSITIVE:

2b - 9 = b - 6

b = 3

NEGATIVE:

2b - 9 = -(b - 6)

2b - 9 = -b + 6

3b = 15

b = 5

Answer: b=3, b=5

Answer:

0.2 pounds of shrimp cost $1.65

Step-by-step explanation:

0.2 * 5 = 1 lb

so

8.25 / 5 = $1.65

Sentence with the answer: Leo has 40.5 stickers.

Let L be the number of stickers Leo has.
The equation to represent the situation is:
L = 25 + x (where x is the number of extra stickers Leo has)
The total number of stickers they have is 56:
25 + x + x = 56
2x + 25 = 56
2x = 31
x = 15.5
Therefore, Leo has 25 + 15.5 = 40.5 stickers.
Sentence with the answer: Leo has 40.5 stickers.

To know more about equations, visit:

https://brainly.com/question/30915018

#SPJ11

Answer:

1. 5 min : 3 min

2. 10 cm : 7 cm

3. 9 sec : 10 sec

Step-by-step explanation:

1. Since 60 minutes = 1 hour

Thus;

100 minutes : 60 minutes

10 minutes : 6 minutes

5 minutes : 3 minutes

The simplest form = (5:3) minutes

2. 100 cm = 1 m,

⇒ 15 m =  15 x 100 cm = 1500 cm

Thus;

1500 cm : 1050 cm

150 cm : 105 cm

30 cm : 21 cm

10 cm : 7 cm

The simplest form = (10:7) cm

3. 60 seconds = 1 minute

⇒ 9 minutes = 9 x 60

                 = 540 seconds

Thus;

540 seconds : 600 seconds

54 seconds : 60 seconds

9 seconds : 10 seconds

The simplest form = (9:10) seconds

4. A common fraction is one that has the same value on each side of an expression or equation.

Answer:

                \(8\frac23\ cm^2\)

Step-by-step explanation:

sector of the circle if the angle at the center is 150° means  \(\frac{150^o}{360^o}\) of full circle of given radius

area of a circle of given radius R is:  πR²

so area of given sector:

\(A=\dfrac{150^o}{360^o}\cdot \pi\cdot8^2=\dfrac5{12}\cdot3.1\cdot64=82,(6)=8\frac23\ cm^2\)

The area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

A circle is a locus of a point whose distance always remains constant from a given specific point. The general equation is -

x² + y² = r²      (for circle centered at origin)

Given is a circle has a radius of 8 cm.

The area of the sector subtending the angle 150° at center is -

A = (150/360) x 3.1 x 8 x 8

A = 82.67 square centimeter.

Therefore, the area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

To solve more questions on circles, visit the link below-

https://brainly.com/question/17006280

#SPJ5

Answer:

reflection

Step-by-step explanation:

i hope this is right lol

Answer:

(x, y) -> (-y, x)

Step-by-step explanation:

I hope u get this right

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

To find which cylinder has the greater volume, we need to find out the volume of each one.

As we all know that the formula used to determine the volume of a cylinder is:

V = The base area*the height

<=> V = π\(r^{2}\)h (cubic units)

For example, in my attached photo, we will use this formula to find the volume of each one.

The base area = π\(r^{2}\) = π\(3.5^{2}\) = 38.46 square in

The height = 8.5 in

=> the volume of Cylinder A

= The base area*the height

= 38.46*8.5

= 326.91 cubic in

The base area = π\(r^{2}\) = π\(2.7^{2}\) = 22.89 square in

The height = 11 in

=> the volume of Cylinder A

= The base area*the height

= 22.89*11

= 251.79  cubic in

Hence, Cylinder B has the greater volume

- - - - - - - - - - - - - - - - - - - - - - - - - - -

If 'he' wins 5 out of 13 games, that's an immediate ratio of 5:13.

- - - - - - - - - - - - - - - - - - - - - - - - - - -

Let's call him Max :)

Okay, now for the math.

I'm going to try a number line- but first, we have to know how many times 13 goes into 78.

- - - - - - - - - - - - - - - - - - - - - - - - - - -

78 / 13 = 6

So now we multiply the ratio (5:13) by six...

30:78

That's the answer!

- - - - - - - - - - - - - - - - - - - - - - - - - - -

Good luck!

~pinetree

Answer:

I think the answer of X is 2

Step-by-step explanation:

i said think ok

have a nice week

[o]-[o]

\___/

Answer:

x=2

Step-by-step explanation:

Going from 6 to 4 means you have to dilate by 2/3.

(2/3)*6=4

(2/3)*3 is 2

Answer:A

Step-by-step explanation:

Answer:

The value of the slope of the line is 1

Step-by-step explanation:

Here, we want to find the value of the slope of the line that passes through the given points

Mathematically, we have the equation as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (4,-11)

(x2,y2) = (7,-8)

substituting these values in the slope equation, we have;

m = (-8-(-11))/(7-4) = 3/3 = 1

Among the 769 team members, 706 of them are assigned to operates in 2 shifts schedule. The proportion of team members not assigned to one of the stations is 63 / 769

Proportion means a share from total set being discussed.

Data from the given case:

- The assembly has 769 team members.

- The assembly has 353 stations

- At each station, there are 2 shifts operations.

Assuming that 1 person is assigned to 1 shift operation, then there will:

353 x 2 = 706 person assigned.

The remaining team members that not assigned is:

769 - 706 = 63 person.

Therefore, the share or the proportion of unassigned team members is:

63/769

Learn more about proportion here:

https://brainly.com/question/25640375

#SPJ4

The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways

To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.

First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.

Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.

The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.

Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:

(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)

Simplifying this expression gives a total of 15,946 ways.

To know more about Probability visit:

https://brainly.com/question/30034780

#SPJ4

Answer:

It's arithmetic

Step-by-step explanation:

For n=0 you got 4

For n=1 you got 4-1/6

For the next element the value will be the current element minus 1/6

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

For more such questions on charges , Visit:

https://brainly.com/question/30478263

#SPJ11

Friend functions may directly modify or access the private data members. group of answer choices are true.

A friend function in C++ is a function that is not a member of a class but has access to its private and protected members. It is declared with the keyword "friend" inside the class. One of the advantages of using friend functions is that they can directly modify or access the private data members of a class, bypassing the normal access restrictions.

Friend functions are able to do this because they are granted special privileges by the class they are declared in. This means that they can access private data members and even modify them without using the usual public member functions of the class.

This feature can be useful in certain scenarios. For example, if we have a class that represents a complex number, we may want to provide a friend function to calculate the magnitude of the complex number directly using its private data members, instead of going through a getter function..

In conclusion, friend functions in C++ can indeed directly modify or access private data members. While this can be a powerful tool in certain cases, it should be used with caution to maintain the integrity of the class's encapsulation.

Learn more about Encapsulation

brainly.com/question/14276789

#SPJ11

The value of b = 5 , h = -4 and k = -1 for the function f(x) = \(log_{5}\)(x - 4) - 1

What is a function ?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

An input is connected to an output by a function. It resembles a device with an input and an output. In addition, the output is somehow connected to the input. The standard way to write a function is f(x) "f(x) =... "

Translated of logarithmic function:

f(x) =  \(log_{b}\) (x + h) + k

where b is base, h - horizontal shift, k - vertical shift

According to given function the values are:

b = 5, h = - 4, k = - 1

To learn more about function from the given link  

https://brainly.com/question/10439235

#SPJ1

In  cases (a), (b), and (d), the firm produces zero units regardless of the price, while in case (c), there is no supply curve.

To determine the short-run supply function for each case, we need to find the quantity (qi) at which the firm's cost is minimized and compare it to the given production conditions.

a) Case: P = 35 - 15q + 3q^2 (if P ≥ $52, otherwise zero units)

To find the short-run supply function, we need to determine the quantity at which the firm's cost is minimized. The cost function is given as C(qi) = 160 - 58qi + 6qi^2 - qi^3.

First, take the derivative of the cost function with respect to qi and set it equal to zero to find the minimum:

C'(qi) = -58 + 12qi - 3qi^2 = 0

Simplifying the equation:

3qi^2 - 12qi + 58 = 0

Using the quadratic formula, we can find the value of qi that minimizes the cost:

qi = (-(-12) ± √((-12)^2 - 4(3)(58))) / (2(3))

qi = (12 ± √(144 - 696)) / 6

qi = (12 ± √(-552)) / 6

Since the discriminant is negative, there are no real solutions. Hence, there is no positive quantity at which the firm's cost is minimized. As a result, the firm produces zero units regardless of the price.

b) Case: P = 40 - 8q + 2q^2 (if P ≥ $55, otherwise zero units)

Following the same steps as in case (a), we find:

qi = (8 ± √(8^2 - 4(2)(40))) / (2(2))

qi = (8 ± √(-96)) / 4

Again, the discriminant is negative, indicating no real solutions. Therefore, the firm produces zero units regardless of the price.

c) Case: No supply curve

In this case, the firm does not have a supply curve. There is no relationship between the price and the quantity produced.

d) Case: P = 58 - 12q + 3q^2 (if P ≥ $49, otherwise zero units)

Following the same steps as before, we find:

qi = (12 ± √(12^2 - 4(3)(58))) / (2(3))

qi = (12 ± √(144 - 696)) / 6

qi = (12 ± √(-552)) / 6

Once again, the discriminant is negative, indicating no real solutions. Therefore, the firm produces zero units regardless of the price.

In summary, in cases (a), (b), and (d), the firm produces zero units regardless of the price, while in case (c), there is no supply curve.

Learn more about curve here:

https://brainly.com/question/31389331

#SPJ11

The solution is, the length of the base is 36 cm.

Here, we have,

given that,

The height and base of a triangle are in the ratio 1 : 3 respectively.

if the area of the triangle is 216cm²,

let, the length of the base is 3x

so, we get, The height = x

now, we know that,

area = 1/2 * base * height

so, we have,

216 = 1/2 * x* 3x

or, 432 = 3x^2

or, x^2 = 144

or, x = 12

Hence, The solution is, the length of the base is 36 cm.

To learn more on triangle area click:

brainly.com/question/19305981

#SPJ1

Answer:

The sum is 11c - 14.

In the given regression equation, the slope of the line is - 1.23.

Regression equation:

in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.

Given,

The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)

Here we need to the slope of the line.

While we looking into the given regression equation,

Temperature = 90.4 - 1.23x(latitude)

While we compare this one with the general slope of the line equation,

y = mx + c

where m refers the slope of the line.

Then we get the value of slope as -1.23.

To know more about Regression equation here.

https://brainly.com/question/14184702

#SPJ4

Subtract 4 from the y value and add 6 to the x value to get ABC to A'B'C'