Eva and her friend are making friendship bracelets. Eva has 11 meters of yarn, and she gives
2 meters of the yarn to her friend. Each bracelet uses 1 1/2 meters of yarn. How many bracelets can Eva make with the yarn she has left?
Let n equal the number of bracelets Eva can make.
Write an equation that represents the situation.

Solution

For this case we can do the following:

And then the solution for this case would be:

18v^9 y^5

To the nearest hundred thousand, we must first determine the number in the hundred thousand position. This is the digit 1. Now consider the number next to it. This is 2. Since two is not up to 5, we would round off all other nuber to zero.

Hence to the nearest hundred thousand, 126,945 is 100,000

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

On the given dataset, if we ignore the outlier of the dataset, all those measures are going to be similar, but since we have a high frequency on the middle of our dataset and the presence of an outlier value, the most likely to describe the center of the dataset is the mode.

Answer

Explanation

Given:

we can rewrite the expression as follows:

If we need to determine the surface area of a prims we would have to add the areas of each of the faces of the prism, therefore, we would also require to know the length of the prism.

Answer:

I would say B, because the entire purpose and main theme of  The Interlopers is to show the futility and uselessness of feuds and arguments, and that sometimes its best to just live and let live, just to keep it short.

Answer:

C  -8/3

F  8/3

Step-by-step explanation:

9x² - 64 = 0

==> 9x² = 64

==> x² = 64/9

x = ±√(64/9) = ±√64/√9 = ±8/3

The value of y is π/9 or 7π/9 for the range 0 ≤ y ≤ π.

cosec 3y /( cot 3y + tan 3y) = 0.5

Trigonometry formula is:

cosec Ф = 1/ sin Ф

cot Ф = cos Ф/ sinФ

tan Ф = sinФ/ cos Ф

[tex]\frac{\frac{1}{sin 3y} }{\frac{cos 3y}{sin 3y} +\frac{sin 3y}{cos 3y} }[/tex]  = 0.5

[tex]\frac{\frac{1}{sin 3y} }{\frac{cos 3y^{2} + sin 3y^{2} }{sin 3y cos 3y} }[/tex] = 0.5

sin² 3y + cos ² 3y = 1

1/ sin 3y × sin 3y cos 3y = 0.5

cos 3y = 0.5 = 1/2

cos π/ 3 = 1/2

For 0≤ y ≤π

0 ≤3y ≤ 3π

So 3y = 2kπ + π/3 , k = 0, 1

y = π/ 9 or 7π/ 9

Therefore the value of y is π/9 and 7π/ 9 for the given range.

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4 ---> 48

x ---> 96

answer: 8 hours

Let's us tabulate the data that is on the scatterplot.

As you can see in the fourth column, "Sold More Trucks than Cars?", some rows say "Yes" and some say "No".

Let's take a look at Employee No.1. Employee No.1 sold 4 trucks and sold 2 cars. Therefore, employee no.1 was able to sell more trucks than cars and thus, the answer to the fourth column is "Yes."

The same is done for all the employees.

In the end, there are 6 employees who were able to sell more trucks than cars.

Answer:

hope it helps

Step-by-step explanation:

Let's draw the ramp to better understand the problem:

For us to be able to determine how long the ramp will be, we will be using the Cosine Function.

We get,

Therefore, the answer is 57.2165 feet.

Given:

Length of the park, l=4 inches

Width of the park, w=6 inches.

Here, 1 inch is equal to the 30 miles.

To find the actual area of the park:

Area of the park is, A=lw

That is,

In miles,

Hence, the area of the park in miles is 720 miles.

a number : w

A number w divided by 5: w/5

equals (=) 6

Answer

The length of the missing leg = 12 m

Explanation

The triangle presented is a right angled triangle because one of its angles is equal to 90 degrees.

The Pythagorean Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.

The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.

The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,

a² + b² = (hyp)²

For this question,

Hypotenuse side = 15 m

a = 9 m

b = d = ?

a² + b² = (hyp)²

9² + d² = (15)²

81 + d² = 225

d² = 225 - 81

d² = 144

d = √144

d = 12 m

Hope this Helps!!!

Answer:

We'd use the pythagorean theorem to solve for the other leg's length. As the image suggests, we'd use the theorem,

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

If one leg is 9 , that's our a value.

If the hypotenuse is 15 , that's our c value.

Now we just have to find the b value.

Plugging in the variables,

[tex] {9}^{2} + {b}^{2} = {15}^{2} [/tex]

[tex] {9}^{2} = 81 \\ {15}^{2} = 225 \\ 81 + {b}^{2} = 225[/tex]

Subtract 81 from both sides.

[tex] {b}^{2} = 144[/tex]

Square root both sides.

[tex] \sqrt{ {b}^{2} } = b \: and \: \sqrt{144 = 12 } [/tex]

so b = 12

We are given a table that shows the number of zombies over a 4 day period.

a) What is the initial value?

The initial value means an initial population that is the number of zombies at day 0

From the table, we see that the initial population is 2

Initial value = 2

b) What is the growth/decay factor?

The growth/decay factor can be found by finding the ratio of the consecutive terms

r = 512/128 = 4

r = 128/32 = 4

r = 32/8 = 4

r = 8/2 = 4

As you can see, we have got the same ratio.

Since the ratio is greater than 1 then it is a growth factor.

If it was less than 1 then it would have been a decay factor.

Therefore, the growth factor is 4

Initial value = 2

Growth factor = 4

Answer: 56

To solve this problem, we will use the formula for Combination which goes by

From the problem, we know that:

n = 8

r = 3

Since there are a total of 8 different movie soundtracks and we only need 3.

Substituting it on the formula,

Therefore, there are 56 possible selections of movie soundtracks at the music store.

From the question given,

The formula to find the test statistics mean is given below as,

Where,

Given the values of the above below,

Substituting the values into the formula of test statistics t above,

Hence, the test statistics, t = -3.24 ( two decimal places)

Tax amount = 5% of $16.38

According to the solving the matrix will be  BF = [tex]\left[\begin{array}{ccc}4&0&-3\\15&9&6\end{array}\right][/tex]

A matrix is a rectangular array as well as table of characters, numbers, or expressions that is set up in rows and columns to represent a mathematical object or a characteristic of one. As an illustration, consider a matrix containing two rows as well as three columns..

In the field of optics, matrices are employed to model refraction and reflection. Quantum mechanics, electrical circuits, and resistor conversion all benefit from the usage of matrices. In electric circuits, matrices are utilized to solve equations relating to the AC network.

B = [tex]\left[\begin{array}{ccc}2&-1&2\\3&-1&-2\end{array}\right][/tex]

F = [tex]\left[\begin{array}{ccc}3&1&1\\-2&-2&1\\-2&-2&-2\end{array}\right][/tex]

Now solving for BF:

B = [tex]\left[\begin{array}{ccc}2&-1&2\\3&-1&-2\end{array}\right][/tex]  x F = [tex]\left[\begin{array}{ccc}3&1&1\\-2&-2&1\\-2&-2&-2\end{array}\right][/tex]

BF = [tex]\left[\begin{array}{ccc}6+2-4&2+2-4&2-1-4\\9+2+4&3+2+4&3-1+4\end{array}\right][/tex]

BF = [tex]\left[\begin{array}{ccc}4&0&-3\\15&9&6\end{array}\right][/tex]

According to the solving the matrix will be  BF = [tex]\left[\begin{array}{ccc}4&0&-3\\15&9&6\end{array}\right][/tex].

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At age 58, the investor will have (Future Value) $571,816.64 in their savings account after accumulating $150,000 and then adding $100 monthly for five years and $200 monthly for fifteen years.

The future value at age 58 can be computed in two tranches.

The first step is to compute the future value using the present value of the accumulated funds in addition to the periodic monthly investments.

The second step computes the future value using the present value of the funds after 5 years in addition to the periodic monthly savings.

N (# of periods) = 60 months (5 x 12)

I/Y (Interest per year) = 6%

PV (Present Value) = $150,000

PMT (Periodic Payment) = $100

FV = $209,304.53

Sum of all periodic payments = $6,000 (60 x $100)

Total Interest = $53,304.53

N (# of periods) = 180 months (12 x 15 years)

I/Y (Interest per year) = 6%

PV (Present Value) = $209,304.53

PMT (Periodic Payment) = $200

Results:

Future Value (FV) = $571,816.64

Sum of all periodic payments = $36,000 ($200 x 180 months)

Total Interest = $326,512.11

Thus, you will have $571,816.64 as the future value in your savings account when you turn 58.

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Solution

Given the following below

To find the 90% confidence interval, the formula is

Substituting values into the formula above

Solve the above

At 90% confidence interval, the population mean will be between 121.16 and 130.84 (121.16, 130.84)

2 blams ----------------- 15 droms

5 droms ----------------- 28 klegs

1 blam ------------------ ? klegs

5 droms ------------------- 28 klegs

15 droms -------------------- x

x = (15 x 28) / 5

x = 84 klegs

2 blams ------------------------- 84 klegs

1 blam --------------------------- ? klegs

x = (1 x 84)/2

x = 42 klegs

There are 42 klegs in 1 blam

The total surface area will be given by:

Where:

Therefore:

Answer:

248 in²

Part B

What is the median recovery time?

Remember that

For a normal distribution, mean = median = mode

so

The median is 4 days

Part C

What is the Z-score for a patient that took 5.7 days to recover?

Remember that

z =(x - μ)/σ

where

μ=4 days

σ=1.6 days

X=5.7 days

substitute

z=(5.7-4)/1.6

z=1.0625

Part D

What is the probability of spending more than 4.5 days in recovery?

z =(x - μ)/σ

μ=4 days

σ=1.6 days

x=4.5 days

Find out z

z=(4.5-4)/1.6

z=0.3125

using a z-score table values

P(X>4.5)=0.3773

Part E

What is the probability of spending between 3.5 and 4.3 days in recovery?

For x=3.5 -------> z=(3.5-4)/1.6=-0.3125

For x=4.3 -----> z=(4.3-4)/1.6=0.1875

using a z-score table values

P(3.5 < X < 4.3)=0.1970

Part F

Remember that

If your score is in the 85th percentile, it means that 85% of the scores are below your score and 15% are above your score

using a z-score table values

the value of Z=1.036

Find out the value of x

1.036=(x-4)/1.6

solve for x

x=5.6576 days