please answer this question
It's really important ​

1 ball and 3 board games can be chosen by Amanda in option E. 60 ways.

Here it is given that Amanda needs 1 ball and 3 board games.

The toy store only has 3 kinds of balls and 6 types of board games. Hence we will use combinations to determine the no. of ways she can choose the items

ⁿCₓ = n! / (n - r)! X r!

The ball can be chosen in

³C₁ ways

= 3! / 2! X 1!

= 6/2

= 3 ways

The board game can be chosen in  ⁶C₃ ways

= 6! / 3! X 3!

= 720 / 36

= 20 ways

Hence the total number of ways the items can be chosen is

3 X 20 ways

= E. 60 ways.

Complete Question

Amanda goes to the toy store to buy 1 ball and 3 different board games. If the toy store is stocked with 3 types of balls and 6 types of board games, how many different selections of the 4 items can Amanda make?

A. 9

B. 12

C. 14

D. 15

E. 60

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The value of the number is -8

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

5 less than three fourths of a number is one forth of number decreased

by 9

Represent the number with x

So, we have the following equation

3/4x - 5 = 1/4x - 9

Evaluate the like terms

2/4x = -4

This gives

1/2x = -4

Solve for x

x = -8

Hence, the number is -8

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The sample size would be about 1,000.

acc to our question-

hence,The sample size would be about 1,000.

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For given logarithmic equation. 5 = log_0.9(0.59049),  the exponential form is (0.9)^5 = 0.59049

We know that the definition of a logarithm to convert from the logarithmic form to the exponential form,

log_b(x) = a

⇒ b^a = x

Here, we need to write the exponential form of the logarithmic equation.

5 = log_0.9(0.59049)

Using the definition of a logarithm,

5 = log_0.9(0.59049)

⇒ (0.9)^5 = 0.59049

Therefore, the exponential form is (0.9)^5 = 0.59049

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The 99% confidence interval for the population proportion of printers that are used in small businesses is 0.150<p<0.674.

Do we use the sample size or do we use X two to get to 35? We visited 30 places. We are trying to locate the B hats that X gave us. Over 35, we are tested. Our margin of error is 7.751 over two, which is the same as the confidence interval. This gives us seven points. 258 were present. Since our alpha is 1 – 0.9 and they will want us, we wish to find that critical that is set out for two. We get 6 now they have provided us with a minimal sample size, apologize. Is it finished? If you will, visualizeus tying our p hats without the p hat on one. Yes, indeed. We get 1.645 over.

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This means that the answer is D.

In everyday speech, the term "probability" refers to the likelihood that a specific event (or set of events) will take place, expressed as a number between 0 and 100% or as a linear scale from 0 (impossibility) to 1 (certainty). Statistics is the study of occurrences that follow a probability distribution.

The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

According to the given question:-

Even though there aren't any actual options for this question, figuring out the right response should be simple. The quantity of numbers that will be listed is the "probability of success" that is being discussed here. We simply need to select the option with 8 of the 10 mentioned numbers since an 80% likelihood is what is being sought. This indicates that the solution is D. Hope this is useful!

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Answer:

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

[tex]\frac{eraser}{cost}[/tex] = [tex]\frac{eraser}{cost}[/tex]  Fill in what you know and solve for the unknown

[tex]\frac{6}{7}[/tex] = [tex]\frac{x}{49}[/tex]   7 x 7 is 49.  Multiply 6 by 7 to find the unknown.  42

Answer: Each person had 3.75 pounds of apples

Step-by-step explanation:

15= 4a (a=how many pounds of apples each person owns)

15/4=a

3.75=a

The surface area of the cone in terms of [tex]\pi[/tex] is, [tex]95\pi cm^2[/tex].

What is cone?

A cone is a smooth-tapering three-dimensional geometric object with a flat base and an apex or vertex. The base of a cone is made up of all the points on a plane other than the apex, and the apex is connected to all the other points on the base by a series of line segments, half-lines, or lines.

In the given figure, the side length of cone is, 14 cm, and the diameter of the base is 10 cm.

As diameter is 10 cm then radius = 10/2 = 5 cm.

The surface area of the cone is.

SA = [tex]SA = \pi r^2 + \pi rl\\SA = \pi (5)^2+\pi (5)(14)\\SA = 25\pi + 70\pi \\SA = 95\pi cm^2[/tex]

Therefore, the surface area of the cone is, [tex]95\pi cm^2[/tex].

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The function y = 7|x + 1| - 5 can be written as a Piecewise Function as follows,

               7x + 2                for x > -1

y   =

              -7x - 12               for x < -1

Given, a function y = 7|x + 1| - 5

Now, we have to write the given function as a piecewise function

|x + 1| = (x + 1) for x > -1 and

|x + 1| = - (x + 1) for x < -1

So, the given function can be written as a piecewise function

               7(x + 1) - 5                for x > -1

y   =

              -7(x + 1) - 5                for x < -1

On simplifying, we get

               7x + 2                for x > -1

y   =

              -7x - 12               for x < -1

Hence, the given function y = 7|x + 1| - 5 can be written as a Piecewise Function as follows,

               7x + 2                for x > -1

y   =

              -7x - 12               for x < -1

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Answer:

[tex]7x+4[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](11x-4x)+(6-2)[/tex]

2) Simplify.

[tex]7x+4[/tex]

Thanks!

Answer:

7x + 4

Step-by-step explanation:

11x + 6 -4x -2 Combine like terms

7x + 4

The equation for the line of best fit where x represents the month and y represents the time is: y = −2.14x + 45.

In order to determine a linear equation of the line of best fit (trend line) that models the data points contained in the table, we would have to use a scatter plot.

In this scenario, the number of months would be plotted on the x-axis of the scatter plot while the time (minutes) would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the trend line on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the number of months and time in the table, a linear equation of the line of best fit is given by:

y = -2.14x + 45

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Answer:

The equation for the line of best fit where x represents the month and y represents the time is: y = −2.14x + 45.

Step-by-step explanation:

The true statements about the slope are:

The graph that completes the question is added as an attachment'

From the question, we have

Slope of the trend line = 15

This can be represented as

Slope = 15

As a general rule

These mean that (a) and (e) are true options

Also, we have:

Slope = 15

Multiply by 1000

Value(1000) = 15 * 1000

Evaluate

Value(1000) = 15000

This means that sales increase $15,000 as ads increase by $1,000.

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4.5 hours more will it take for Naomi and Claire to have painted the same number of square feet.

Let the time taken for them to paint equal areas be x hrs.

Naomi  = 2x + 16.5

Clair  = 4x + 7.5

Naomi's area = Clair's area

This is :

2x + 16.5 = 4x + 7.5

4x - 2x = 16.5 -7.5

2x = 9

x = 4.5 hours

Therefore 4.5 hours more will it take for Naomi and Claire to have painted the same number of square feet.

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Answer:

A= 115 degrees.

B= 45 degrees.

C= 115 degrees.

D= 115 degrees.

E= 110 degrees.

Tip: Angles opposite each other- like C and D- are going to be equal.

Step-by-step explanation:

Explanation:

You want to show AL≅AM in the given figure.

1. AB≅AC . . . . given

2. ∠1≅∠3 . . . . given

3. ∆ABC is isosceles . . . . definition of isosceles triangle

4. ∠B≅∠C . . . . base angles are congruent in an isosceles triangle

5. ΔLBA≅ΔMCA . . . . ASA congruence postulate

6. AL≅AM . . . . CPCTC

One solution:
y = 3x+2
y=2x+4

No solution:
y=3x+2
y=3x+1

Infinitely:
y=2x+4
y=4x+8

Answer:

One solution: x + 3 = 2x

No solution: x + 3 = x

Infinitely many solutions: x + 3 = 2 ( 0.5x + 1.5 )

Step-by-step explanation:

1 ) x + 3 = 2x

x = 3

2 ) x + 3 = x

No Solution...

3 ) x + 3 = 2 ( 0.5x + 1.5 )

[tex]x[/tex] ∈ [tex]R[/tex]

Hope this helps! :)

The statements for which the converse statements are always true are given as follows:

For statement 1, the converse statement is:

If 2 angles are supplementary, then they form a straight angle.

Supplementary angles are angles whose measures add to 180º, and straight angles are angles with measure of 90º. The converse is false, as 100º and 80º, for example, are supplementary angles, but do not form a straight angle.

For statement 2, the converse statement is:

If the base angles of a triangle are congruent, then the triangle is isosceles.

This is true, because an equilateral triangle, in which all the angles of the triangle are congruent, is a special case of a isosceles triangle.

For statement 3, the converse statement is:

If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment.

Which is true by the perpendicular bisector theorem.

For statement 4, the converse statement is:

If 2 angles are congruent, then they are vertical.

Which is false, as this is not necessarily true.

For statement 5, the converse statement is:

If 2 lines intersect to form 4 right angles, then they are perpendicular.​

Which is false, as this is not necessarily true.

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Answer:

[tex]-6\leq v\leq 3[/tex]

Step-by-step explanation:

I have attached a pdf of my work that explains how to solve this inequality pretty well.

The distance between the two cars  after three hours is 300 km

Cars a and b leave town at the same time.

The speed of the car that went to south = 80 km/hour

The total distance traveled in three hours = 80 × 3

= 240 km

The speed of the car that went to the west = 60 km/hour

The  total distance traveled in three hours = 60 × 3

= 180 km

The distance between the two car is the hypotenuse of the right triangle

The distance between the two cars after three hours = [tex]\sqrt{240^2+180^2}[/tex]

= [tex]\sqrt{57600+32400}[/tex]

= [tex]\sqrt{90000}[/tex]

= 300 km

Hence, the distance between the two cars  after three hours is 300 km

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The answer will be, at least as small as that provided by the sample using p-value.

What is the p-value?

Under the premise that the null hypothesis is true, the p-value in null-hypothesis significance testing represents the likelihood of receiving test findings that are at least as extreme as the result actually observed. A severe observed outcome would be highly improbable under the null hypothesis, according to a very small p-value. In academic papers of many quantitative fields, reporting the p-values of statistical tests is standard practice. Misuse of p-value is common and has been a big concern in metascience due to its difficult-to-understand precise meaning.

The probability that a population parameter in a particular statistical model will be less than a given value when the null hypothesis is true is known as the p-value,

And that is also known as a probability value or a measure of significance.

Hence the probability is, at least as small as that provided by the sample using p-value.

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Answer:

Step-by-step explanation:

your mom

After solving, the value of x is 8 and the value of y is 9.

In the given question,

We have to find the value of x and y.

It is also given that the given quadrilateral is a parallelogram.

Since the given quadrilateral is a parallelogram so the opposite sides and opposite angles are equal to each other.

So 4x−17=2x−1......................(1)

5y−13=3y+5...............(2)

Simplifying equation 1 to find the value of x

4x−17=2x−1

Add 17 on both side

4x−17+17=2x−1+17

Simplifying

4x=2x+16

Subtract 2x on both side

4x−2x=2x+16−2x

Simplifying

2x=16

Divide by 2 on both side

2/2 x = 16/2

x=8

Hence, the value of x is 8.

Now finding the value of y by solving the equation 2

5y−13=3y+5

Add 13 on both side

5y−13+13=3y+5+13

Simplifying

5y=3y+18

Subtract 3y on both side

5y−3y=3y+18−3y

2y=18

Divide by 2 on both side

2/2 y=18/2

y=9

Hence, the value of y is 9.

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The perimeter if ΔSTU is 64 units

What is perimeter ?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

Perimeter of ΔPQR is 48 units

and PQ = 18 units

ΔPQR≅ ΔSTU ;

ST = 24 units

Then the[tex]\frac{Perimeter of PQR}{Perimeter of STU} = \frac{PQ}{ST}[/tex] formula is

Since ΔPQR ≅ ΔSTU

Putting the values the equation becomes

40 / Perimeter of ΔSTU = 18 / 24

40 / Perimeter of ΔSTU = 3 / 4

Perimeter of ΔSTU = 48 * 4/3

                               = 16 *4

                              = 64 units

The Perimeter of the ΔSTU is 64 units

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Answer:

[tex]x = 3[/tex] [tex]y = 4[/tex]         [tex]x = -\frac{7}{5}[/tex] [tex]y = -\frac{24}{5}[/tex]

Step-by-step explanation:

y = 2x - 2

substitute y with 2x - 2 in the other equation

[tex]x^{2} +y^{2} = 25[/tex]

[tex]x^{2} +(2x-2)^{2} = 25[/tex]

[tex]x^{2} + 4x^{2} -4x-4x+4 = 25[/tex]

[tex]5x^{2} -8x+4=25[/tex]

[tex]5x^{2} -8x-21=0[/tex]

Use the quadratic equation to solve

[tex]\frac{-b(+-)\sqrt{b^{2}-4ac }}{2a}[/tex]

[tex]a = 5\\b = -8 \\c = -21[/tex]

[tex]\frac{-(-8)(+-)\sqrt{(-8)^{2}-4(5)(-21) }}{2(5)}[/tex]

[tex]\frac{8(+-)\sqrt{64-(-420) }}{10}[/tex]

[tex]\frac{8+\sqrt{484 }}{10}[/tex]          [tex]\frac{8-\sqrt{484 }}{10}[/tex]

[tex]x[/tex] = [tex]3[/tex]           [tex]x[/tex] = [tex]-\frac{7}{5}[/tex]

Now use these values of x in the other equation to find two values of y

y = 2x - 2                  y = 2x - 2

y = 2(3) - 2                y = 2(-7/5) - 2

y = 4                         y = - (24/5)

The major thing that Ryan should be worried about is the C) high annual depreciation.

Normally, when we buy cars they have so much value but when the cars start being used more often, they tend to depreciate in value due to wear and tear and second value of the product. This tells us that when a car is driven for more miles in a year, it will depreciate greatly.

We are told that Ryan plans to drive about 40 miles to work and back everyday which means that in a year he would have driven thousands of miles. This will lead to a high depreciation.

Thus, we can conclude that the most important thing that Ryan should be worried about when purchasing this old hatchback is the high depreciation.

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The formula for the final cost, in terms of the original price y, is:

c(y) = y*(0.88)*(1.03)

Let's define y as the original price of the DVD.

We first apply a discount of the 12% of the price, so the new cost will be:

c(y) = y*(1 - 12%/100%)

c(y) = y*(1 - 0.12)

Then we apply a tax of the 3%, this in increase, then we can write this as:

c(y) = y*(1 - 0.12)*(1 + 3%/100%)

c(y) = y*(1 - 0.12)*(1  + 0.03)

c(y) = y*(0.88)*(1.03)

That is the formula that we could use to determine the final cost.

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The value of f(4) = 0 by the given graph.

What is graph?

The graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Given graph is a straight line, and the equation of a line is given as

y =mx+b

where,

m is the slope,

y is the dependent variable,

we can write it as

f(x)= mx +b

The coordinates are (4,0) and (0,2)

m = 2-0/0-4

m = -1/2

y = -1/2 x +b

we can see the line intersect the y-axis at 0,2

b =2

y = -1/2 x +2

at x =4

f(4) = -2+2=0

Hence, the value of f(4) = 0 in the given graph.

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A computer password is required to be 7 characters long.

Note the requirements:

   Repetition of letter or digit is not allowed.

   The order of the letters and digits matters.

Because of that, permutation would be the most suitable way to count the number of possibilities.

There are [tex]P(26,3) = \frac{26!}{(26-3)!} = 26x25x24 = 15,600[/tex] ways to arrange three out of distinct letters (without replacement.)

Similarly, there are [tex]P(10,4) = \frac{10!}{(10-4)!} = 10x9x8x7 = 5,040[/tex] ways to arrange four out of distinct numbers (also without replacement.)

Therefore, there are 15,600 possibilities for the three-letter section of this password, and 5,040 possibilities for the four-digit section. What if these two parts are combined?

Consider: if the first three letters of the password were fixed, then there would be 5,040 possibilities. However, if any of the first three letters was changed, the result would be another 5,040 possibilities, all of which are different from the previous 5,400 possibilities. These two three-letter sections along will give 2 x 5,400 possibilities. Since there are 15,600 three-letter sections like that, there would be 15,600 x 5,400 = 78,624,000 possible passwords in total. That gives the number of possible passwords that satisfy these requirements.

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Answer:

1

Step-by-step explanation:

anything to the power of 0 is 1

Answer:

1

Step-by-step explanation: