Find the X and Y interceptsWrite each intercept as an ordered pair Please check photo

The mean value is 7.6. Option (D) is the correct answer.

The number of successes in a sample of size n drawn with replacement from a population of size N is frequently modeled using the binomial distribution.

The mean value of a binomial distribution is,

\(\mu =np\\=38*0.2\\=7.6\)

Multiplication:

In mathematics, multiplying two or more numbers yields the product of the numbers. It is one of the basic mathematical operations that we carry out on a regular basis. The most obvious application is using multiplication tables. The multiplication of two numbers in mathematics represents the repeated addition of one number in respect to another. These numbers can be natural numbers, whole numbers, fractions, integers, or other types of numbers. When m is multiplied by n, m is either multiplied by n times or added to itself n times.

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Answer:

x = 4b / (2 + a - b)

Step-by-step explanation:

Given :

Distribute the terms on both sides :

Bring the x terms to one side :

Take x as a common factor on the left side :

Divide both sides by (2 + a - b) :

Answer:

x = \(\frac{4b}{2+a-b}\)

Step-by-step explanation:

x(2 + a) = b(x + 4) ← distribute parenthesis on both sides )

2x + ax = bx + 4b ( subtract bx from both sides )

2x + ax - bx = 4b ← factor out x from each term on the left side

x(2 + a - b) = 4b ← divide both sides by (2 + a - b)

x = \(\frac{4b}{2+a-b}\)

On Monday, Marisol used 192 tulips to make Garden Delight bouquets on Monday and Tuesday, based on the solutions to the system of equations.

A system equation, also known as a simultaneous equation, involves two or more equations solved concurrently.

Equations establish the equality of mathematical expressions.

Let the number of Spring Mix bouquets Marisol made on Monday = x and the number of Garden Delight bouquets Marisol made on Monday = y

The total number of bouquets made on Monday = 96

The total number of bouquets made on Tuesday = 192

The number of Garden Delight bouquets made on Tuesday = three times the number made on Monday, which = 3(16y) = 48y

12x + 16y=96 ... Equation 1

12x + 48y=192 ... Equation 2

Eliminate x by subtracting equation 1 from equation 2:

12x + 48y=192

-

12x + 16y=96

32y = 96

y = 3

Substitute y = 3 in any of the equations to find x:

12x + 48y=192

12x + 48(3) = 192

12x + 144 = 192

12x = 48

x = 4

The total number of tulips Marisol used to make Garden Delight bouquets on Monday and Tuesday is as follows:

Monday = 16y = 16(3) = 48

Tuesday = 3(16y) = 48y = 144

Total = 192

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Answers:

A, B, D, E

Nearly everything except choice C is true.

====================================================

Explanation:

Answer: 0.35

Step-by-step explanation:

Times 7 = 2. 45kg

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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Answer:

12

Step-by-step explanation:

If the sum of the digits of a certain two-digit number is 15 and reversing its digits increase the number by 9, then the numbers are 7 and 8

Let the two digits numbers be x and y

If the sum of the digits of a certain two-digit number is 15, then;

x + y = 15 .................... 1

If the digits are reversed and increased number by 9

10y + x = 10x + y + 9 ................ 2

From 1, x = 15 - y

Substitute into equation 1 to have:

10y + 15 - y = 10(15-y) + y + 9

9y + 15 = 150 - 9y + 9

18y = 159 - 15

18y = 144

y = 8

Since x = 15 - y

x = 15 - 8

x = 7

This shows that the numbers are 7 and 8

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Answer:

66 divided by 23, that equals to a number that isn't a whole

Step-by-step explanation:

Step-by-step explanation:

10 is less than 10.01

10.01-10=0.01

10 is 0.01 less than 10.01

So, 10 is less than 10.01.

Hope it helps you!!

Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

Perimeter = 2(length+breadth)

326= 2(98+b),

breadth= 65 cm

Area of rectangle = l×b = 98×65= 6370cm²

Hi there! Please provide the graphs in the question so that I can determine which is the right one.

Answer is c

Step-by-step explanation:

c

The average annual rate of change during the time period 2007-2012 is approximately 10,797 thousand subscribers per year.

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another.

To find the average annual rate of change for this time period, we need to determine the total change in the number of cellular telephone subscribers from 2007 to 2012, and then divide by the number of years in the time period.

The total change in the number of subscribers from 2007 to 2012 is:

335,244 - 270,461 = 64,783

The number of years in the time period is:

2012 - 2007 + 1 = 6

So the average annual rate of change is:

64,783 / 6 = 10,797.17 (rounded to two decimal places)

If we round the average annual rate of change to the nearest unit, it would be 10,797 subscribers per year.

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To earn an average score of 90, the score on the fourth test needs to be 98.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data.

Given the score of the first three tests as:

91, 84, 87.

The average is given by the following formula:

Average = Sum of scores ÷ total number of tests

Let us suppose the score of fourth test as x.

Given that A = 90:

90 = (91 + 84 + 87 + x) ÷ 4

x = 98

Hence, the score on the fourth test must be equal to 98, to get an average score of 90.

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Triangle inequality

The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side.

Let's analyze each group of side lengths:

• 7,6,10

Note that:

7+6 > 10

7+10 > 6

6+10 > 7

Since all the conditions are met, this group can create a triangle

• Now for 4,2,7

Testing each sum:

4+2 > 7

This inequality is false since 6 is not greater than 7

Thus, this group cannot create a triangle

• Now for 3,4,5

Testing each sum:

3 + 4 > 5

3 + 5 > 4

4 + 5 > 3

Since all the conditions are met, this group can create a triangle

• Finally, for 3,3,3

Testing each sum:

3 + 3 > 3

This happens three times. They form in fact an equilateral triangle

Thus, the only group that cannot create a triangle is 4,2,7

Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer: 35.50+15x

Step-by-step explanation:

U start with the original 35.50 fee then the 15 cent fee is reoccurring which means u would add a variable to it. Hope this helps make brainliest and like and rate plz!

Answer:

3/4

Step-by-step explanation:

7 blue balls and 2 green balls

so if we take a blue ball and do not put it back into the bag it will become 6 blue balls.

Now we need to find what is the probability of getting a blue ball next .

So our formula will be

= No of Blue balls / Total number of balls(No. of green + No. of Blue balls)

= 6/ 8

3/4( when you simplify it)

Answer:

1/4 gallon of yellow of paint and none of the blue paint

Step-by-step explanation:

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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The statements which true about the race are: Stuart finishes the race 1 s after Peter finishes the race; and, Stuart is given a 40 yd head start and loses the race. The correct answers are option B and E.

Although part of your question is missing, you might be referring to this full question: The graph shows the results of a race between Peter and Stuart. Both boys begin the race at the same time. Which statements are true about the race? Select each correct answer.

A. Stuart runs a longer race than Peter.

B. Stuart finishes the race 1 s after Peter finishes the race.

C. Stuart runs the race at a faster rate than Peter.

D. Peter is given a 40 yd head start and wins the race.

E. Stuart is given a 40 yd head start and loses the race.

F. Peter runs the race at an approximate rate of 4.6 yd/s.

As can be seen on the Graph attached:

So, the justification for each statement:

A. Stuart runs a longer race than Peter.

This statement is false, because Peter runs a longer race than Stuart. Peter > Stuart = 100 > 60.

B. Stuart finishes the race 1 s after Peter finishes the race

This statement is true, because Stuart finished the race in 13 secs and Peter finished the race in 12 secs. Peter – Stuart = 13 – 12 = 1. Thus, Stuart finishes the race 1 s after Peter finishes the race.

C. Stuart runs the race at a faster rate than Peter.

This statement is false, because Stuart’s speed = 60 / 13 = 4.62 yard/sec, while Peter’s speed = 100 / 12 = 8.33 yard/sec. Thus, Peter runs the race at a faster rate than Stuart.

D. Peter is given a 40 yd head start and wins the race.

This statement is false, because Peter wins the race but Peter is not given a 40 yd head start.

E. Stuart is given a 40 yd head start and loses the race.

This statement is true, because Stuart loses the race and Stuart is given a 40 yd head start.

F. Peter runs the race at an approximate rate of 4.6 yd/s.

This statement is false, because Stuart runs the race at an approximate rate of 4.6 yd/s, while Peter runs the race at an approximate rate of 8.3 yd/s.

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Answer:

Step-by-step explanation:

1/9 < 1/√n < 1/7

9 > √n > 7

81 > n > 49

n = 50, 51, 52, ..., 80

n has 31 possible values

Answer:

5x

Step-by-step explanation:

-6 + 2x + 4 + 3x - (-2)

rearrange to make it easier to solve

2x + 3x - 6 + 4 - (-2)

add like terms, negative time negative is positive

5x - 2 + 2

5x

Answer:

4.5 cups

Step-by-step explanation:

Answer:

r = -10*cos(t)

Step-by-step explanation:

To write the rectangular equation in polar form we need to replace x and y by:

\(x=r*cos(t)\\y=r*sin(t)\)

Replacing on the original equation, we get:

\((x+5)^2+y^2=25\\x^2+10x+25+y^2=25\\(r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25\)

Using the identity \(sin^2(t)+cos^2(t)=1\) and solving for r, we get that the polar form of the equation is:

\((r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25\\r^2cos^2(t)+10rcos(t)+r^2sin^2(t)=0\\r^2cos^2(t)+r^2sin^2(t)=-10rcos(t)\\r^2(cos^2(t)+sin^2(t))=-10rcos(t)\\r^2=-10rcos(t)\\\\r=-10cos(t)\)

Based on the maximum taxable amount for social security in 2009, and the social security tax rate, the social security tax that Larry paid was $7,347.

The total amount paid by Larry as Social security tax can be found as;

= Maximum amount allowable for social security tax x Social security tax rate

The social security tax rate was 6.2% not 62.2%.

The social security tax was therefore:

= 118,500 x 6.2%

= $7,347

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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