Caitlin has 9 3/8 feet of red yarn and
5 5/8 feet of purple yarn. How much more
red yarn does Caitlin have than purple
yarn?

Answer:

\( 240 =5x +115\)

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

\( 240-115= 5x\)

\( 125 = 5x\)

And now we can divide both sides by 5 and we got:

\( x= 25\)

So then the number of hours spent to decorate the house are 25

Step-by-step explanation:

Based on the information given we can model this function with this formula:

\( y = mx+b\)

Where y represent the total cost paid, m the cost per hour representing the slope and x the number of hours worked and finally b the initial cost for the materials. Then our function is given by:

\( 240 =5x +115\)

And we can solve for x in order to find the number hours using to decorate the house.

We can subtract in both sides 115 and we got:

\( 240-115= 5x\)

\( 125 = 5x\)

And now we can divide both sides by 5 and we got:

\( x= 25\)

So then the number of hours spent to decorate the house are 25

Step-by-step explanation:

a linear or arithmetic sequence has a start value as first term, and then every following term is created by adding the same constant to the previous term.

a1 = a

a2 = a1 + c = a + c

a3 = a2 + c = a + c + c = a + 2c

a4 = a3 + c = a + c + c + c = a + 3c

...

as we can easily see

an = an-1 + c = a + (n-1)c

in our case

a3 = 17 = a + 2c

a = 17 - 2c

a45 = 269 = a + 44c = 17 - 2c + 44c = 17 + 42c

252 = 42c

c = 6

a = 17 - 2c = 17 - 2×6 = 17 - 12 = 5

so,

an = 5 + (n-1)×6

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The discrete nature of the distribution is the first characteristic. This is demonstrated by the fact that the distribution contains the values 0, 1, 2, and 3. The likelihood that a randomly chosen policyholder files no more than two claims is.09, which is the fourth characteristic.

When we do an experiment with variables that yields a discrete result, discrete probability distributions are created. These variables can be measured numerically by numbering them. probability of rolling two dice six times and receiving the number 5.

Discrete probability distributions are used where the variable (or characteristic) under study is countable in nature. That is, it can take on values 0,1,2,…..N.

Note that N can be both a finite number or Infinity.

Examples of discrete variables are:

(1) Number of defectives in a sample

(2) Defects per piece

(3) Number of customer complaints in a day

To learn more about probability visit:

https://brainly.com/question/11234923

#SPJ1

The discrete nature of the distribution is the first characteristic.

What is discrete probability function?

When we do an experiment with variables that yields a discrete result, discrete probability distributions are created. These variables can be measured numerically by numbering them. probability of rolling two dice six times and receiving the number 5.

What are the uses of discrete probability distributions?

Discrete probability distributions are used where the variable (or characteristic) under study is countable in nature. That is, it can take on values 0,1,2,…..N.

Note that N can be both a finite number or Infinity.

Examples of discrete variables are:
(1) Number of defectives in a sample
(2) Defects per piece
(3) Number of customer complaints in a day

This is demonstrated by the fact that the distribution contains the values 0, 1, 2, and 3. The likelihood that a randomly chosen policyholder files no more than two claims is.09, which is the fourth characteristic.

To learn more about probability visit:
brainly.com/question/11234923
#SPJ1

Answer:

52kg

Step-by-step explanation:

it's just sum of the kgs bought

Answer:

first term (a)=-2

common difference (d)=8

Now,

87th term=a+(n-1)d

=-2+(87-1)×8

=-2+86×8

=-2+688

=686

Answer:

19 r2

Step-by-step explanation:

okay so if you have 19.5 and there are 4 people per chair lift. You have to find half of 4 because .5 equals one half in this situation.

4 divided by 2 equals 2 so your remainder is 2

The polynomial with the given zeros is:;

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:

P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)

Where K is a coefficient.

Here the zeros are 0, -1, 1, 3/2

Then we can write:

P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)

P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)

We also know that when x = -3, P(x) = 300

Then we can write:

300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)

300 = K*(-3)*(-2)*(-4)*(-9/2)

300 = K*108

300/108 = K

Then the polynomial is:

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

Learn more about polynomials at:

https://brainly.com/question/4142886

#SPJ1

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

22 x 1.6= 35.2km per second

35.2 x 20 = 704km in 20 seconds

3gonomet3

-

use the sine's rule !

 55 / sin C = b / sin B

55 / sin 90 = b / sin 60

       55 / 1  = b / ( 1/2 √3 )

               b =  55√3 / 2

_____

 a / sin A = 55 / sin C

a / sin 30 = 55 / sin 90

 a / ( 1/2 ) = 55 / 1

             a = 55/2

____

Answer:  The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

The probability that Ethan does NOT have computer science homework is 0.3

From the information given:

However, in probability, the sum of all event outcomes is always equal to 1.

∴

\(\mathbf{P(A) + P(A^c) = 1}\)

where;

Thus;

\(\mathbf{ P(A^c) = 1- P(A)}\)

\(\mathbf{ P(A^c) = 1- \dfrac{7}{10}}\)

\(\mathbf{ P(A^c) =\dfrac{10 -7}{10}}\)

\(\mathbf{ P(A^c) =\dfrac{3}{10}}\)

\(\mathbf{ P(A^c) =0.3}\)

Therefore, we can conclude that the probability that Ethan does NOT have computer science homework is 0.3

Learn more about probability here:

https://brainly.com/question/11234923?referrer=searchResults

68% of states have an infant mortality rate between 5.36 and 8.60 percent.

In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.

In this problem, we have that:

Assuming that the distribution is normal, what percentage of states have an infant mortality rate between 5.36 and 8.60 percent (per 1,000 live births)?

\(\sf 5.36 = 6.98 - 1\times1.62\)

So, 5.36 is one standard deviation below the mean.

\(\sf 8.60 = 6.98 + 1\times1.62\)

So 8.60 is one standard deviation above the mean.

Therefore, by the Empirical Rule, 68% of states have an infant mortality rate between 5.36 and 8.60 percent.

To know more about the Empirical Rule, refer to the link below.

https://brainly.com/question/30404590

#SPJ5

Answer:

The height of the squirrel is 31 feet.

Step-by-step explanation:

You need to know your Right Triangle Trigonometry to do this problem.

Rt Triangle trig is all about ratios. Angles and ratios.

In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.

tan Angle = opposite/adjacent

tan 48° = x/28

multiply both sides by 28

28•tan48° = x



You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"



Enter 28 × tan48° =

It will return 31.0971504152

Your question asks you to round to the nearest whole.

x = 31

The squirrel's height in the tree is 31ft.

Answer:

\(y = - \frac{4}{5} x + 3\)

Step-by-step explanation:

\(b = 3\)

\( - 2 = 4a + 3\)

\(a = - \frac{4}{5} \)

Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

Answer:

Step-by-step explanation:

199/4

Answer:

28p

Step-by-step explanation:

7x4=28 and then you have to put the p after it.

Answer:

\(x<=47/6\) or \((-\infty, 47/6]\)

Step-by-step explanation:

Note that \(6.3333 = 6 1/3 = 19/3 = 38/6\).

Also, note that \(1.5 = 1 1/2 = 3/2 = 9/6\).

So, the inequality is really equal to \(x-38/6<=9/6\).

We can then add \(38/6\) to both sides to get \(x<=47/6\).

So, the solution is \(x<=47/6\), or in interval notation, \((-\infty, 47/6]\)

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

Learn more about greatest common factor:

https://brainly.com/question/219464

#SPJ1

Answer:

30% increase

Step-by-step explanation:

percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = $35.10 - $27 = $8.10 , then

percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%

Answer:

Step-by-step explanation:

step 1:       35.10-27 =8.1

step 2:       8.1/27 x 100 = 30%

so therefore = 30% increase

Hello, your answer would be 5 5/9.

Answer:

9.8333... or 59/6

Step-by-step explanation:

According to my calculator

Answer:

\(\dfrac{59}{6}\)

Step-by-step explanation:

Let x be the answer,

\(x = \dfrac{91 + 129 + 16}{24}\)

\(x = \dfrac{236}{24}\)

\(x = \dfrac{59}{6}\)

Answer:1235160000 beats

Step-by-step explanation:

There are 525600 minutes in a year

47*525600= 24703200

24703200*50= 1235160000

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1

Answer:

B

Hope this helps!

explanation:

we solve the inequality and to do that we must first subtract 12 from both sides, which gets us -x<-4, then we divide both sides by -1, which gives us x>4, since we have to flip the sign when we divide by a negative. when we graph this, there will be a circle around 4 and the arrow pointing to the right, since it's greater than.

Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

Answer:

grain sited

Step-by-step explanation: