Michael had 8/9 of a spool of yarn. He used 2/5 of his yarn for a project. What fraction of the spool was used for the project?

Answer:

4/9-2/5

taking LCM

20-18/45

2/45

0.044444

Answer:

0.04444444444

but if you want to round to nearest tenths place its 0.1

Step-by-step explanation

multiply 4 by 5 =20.

Then we multiply 2 by 9=18  to get donaminater times the demonimaters  by each other 9 times 5 which equals 45  so now you have 20/45 -18/45 then subtract sence denominaters are the same they stay the same nuber 20-18 =2

2/45  and 2/45 as a decimal is 0.04444

Answer: written as (x,y)

1) (1, -4)  2) (1, -2) 3) (x, -23+7x) 4) (2,-2) 5) (6/5,1) 6) (6,13) 7) (1,2)

8) (23,-13/2)

Step-by-step explanation:

step 1) 4x+3y=-8

           y=-12+8x

step 2) 4x+3(-12+8x)=-8)

answer 1) x=1

step 4) y= -12+8*1

answer 1) y=-4

step 1) 4x-2(-2)=8

answer 2) x=1

check 2) 4*1-2(-2)=8

               -2=-2

step 1) 14x-2(-23+7x)=46

answer 3) XeR (solution in parametric form)

Step 1) -3x+2(8-5x)=-10

answer 4) x=2

Step 2) y=8-5*2

answer 4) y= -2

Step 1) -5x+4y=-2 (divide both sides)

            5x+3y=9

Step 2) 7y=7 (eliminate one variable by adding the equations)

Answer 5) y=1

Step 3) 5x+3*1=9

Answer 5) x= 6/5

Step 1) -5x+3y=9

            5x-y=17

Step 2) 2y=26

answer 6) y=13

step 3) 5x-13=17

answer 6) x=6

Step 1) -7x-8y=-23

           8x+8y=24

answer 7) x=1

Step 2) 4*1+4y=12

answer 7) y=2

Step 1) -x-10/3y=-4/3

             x=23

Answer 8) -13/2)

Answer 8) x=23

The principal balance after applying the first month's payment of $925.67 is $88,812.33.

To calculate the principal balance after the first month's payment, we need to consider the initial purchase price, sales tax, down payment, and the monthly payment made.

Initial purchase price: $89,000

Sales tax: 4.2% of $89,000 = $3,738

Down payment: $3,000

Principal amount to be financed: $89,000 + $3,738 - $3,000 = $89,738

First month's payment: $925.67

To find the principal balance, we subtract the first month's payment from the principal amount:

Principal balance = $89,738 - $925.67 = $88,812.33

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Answer:

8.19

Step-by-step explanation:

8 is greater than five, 8.19 just means that it's 18 but with 0.19 added. 5.35 means its just 5 but with 0.35 added.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

8.19 is greater

Step-by-step explanation:

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Check the picture below.

\(tan(\theta )=\cfrac{11}{10}\implies tan^{-1}[tan(\theta )]=tan^{-1}\left( \cfrac{11}{10} \right) \\\\\\ \theta =tan^{-1}\left( \cfrac{11}{10} \right)\implies \theta \approx 47.73^o\)

Make sure your calculator is in Degree mode.

Answer:

Step-by-step explanation:
The above is a right angled triangle
So you take the longest side
9.4^2 - 6.8^2
88.36- 46.24
sqrt of 42.12
6.4899

To the nearest tenth of a degree = 6.56.5ft

(a) The negation of the statement "All unicorns have a purple horn" is "There exists a unicorn that does not have a purple horn."

This is because the original statement claims that every single unicorn has a purple horn, while its negation states that at least one unicorn exists without a purple horn.

(b) The negation of the statement "Every lobster that has a yellow claw can recite the poem 'Paradise Lost'" is "There exists a lobster with a yellow claw that cannot recite the poem 'Paradise Lost'."

The original statement asserts that all lobsters with a yellow claw possess the ability to recite the poem, while its negation suggests the existence of at least one lobster with a yellow claw that lacks this ability.

(c) The negation of the statement "Some girls do not like to play with dolls" is "All girls like to play with dolls."

In the original statement, it is claimed that there is at least one girl who does not enjoy playing with dolls. However, the negation of this statement denies the existence of such a girl and asserts that every single girl likes to play with dolls.

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The correct statement is: b. The uncertainty will be larger in Study 1 than in Study 2.

This is because Study 2 used a larger random sample (100 cigarettes) compared to Study 1 (10 cigarettes), resulting in a more accurate estimate of the mean nicotine content and reduced uncertainty.

The uncertainty will be larger in study 1 than in study 2. This is because the sample size in study 1 is smaller than in study 2, which means there is more variability in the estimates due to the smaller sample size. In general, larger sample sizes lead to more precise estimates with less uncertainty.

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Answer:

-19

Step-by-step explanation:

When you subtract from a negative it becomes a bigger number in the negatives. Subtract from a negative is also kind of like adding the 2 numbers then making it negative.

Example:

-2 - 2 = -4

2+2=4 making it negative will give you the answer of -4

-9-10 is like 9+10 which equals 19. Making it negative will give you the answer of -19

Answer:

This question answer is -19

0<=x<=90 is the correct answer.The domain of the function V(x) = 0.1x, representing the Volume of water in the bucket after x seconds, is  0<=x<=90

The volume of water in the bucket after x seconds can be represented by the function V(x) = 0.1x, where x is the number of seconds.

To determine the domain of this function, we need to consider any restrictions on the independent variable x. In this case, the domain represents the possible values of x that make sense in the given context.

The rate at which Lourdes is filling the bucket is 0.1 gal/s. This implies that she can fill the bucket at a constant rate for any positive number of seconds. However, it is not meaningful to consider negative values for x, as we are interested in measuring time in seconds from the moment she starts filling the bucket

Therefore, the domain of the function representing the volume of water in the bucket after x seconds is x ≥ 0, which means x can take any non-negative value or zero.

The domain of the function V(x) = 0.1x, representing the volume of water in the bucket after x seconds, is x ≥ 0.

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Answer:

the third one (bottom left)

Step-by-step explanation:

all the others have at least one x value with multiple possible y values.

but for a function, there must be exactly 1 y value for each defined x value.

Answer:4/5

Step-by-step explanation:

Answer:

a- 1,100

b- 12

c- the price also increases.

Step-by-step explanation:

Answer

uhg k

Step-by-step explanation:

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Step-by-step explanation:

2x + y = 6/3

x+y = 1

x=1-y

now,

y=5-(-1)/2

y=3

again,

x=1-3

x=-2

therefore, x= -2 and y = 3

Answer:

1, 3, 19, 57, 361, and 1083.

Step-by-step explanation:

Answer:

I would say b, but wait for another person to answer and confirm

Step-by-step explanation:

Answer:

your math questions send me

Answer:

C

Step-by-step explanation:

The Value of x and y are (x,y) = (7,3).

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

GIven equations are :

5x - 2y= 26.....(1)

y + 4 = x..........(2)

Solve by substitution :

substitute equation 2 in equation 1 and solve for y

5x - 2y= 26

5(y+4) - 2y = 26

5y + 20 -3y = 26

2y = 26 - 20

2y = 6

y = 3

now, the value of x will be :

x = y + 4

x = 3+4

x = 7

Therefore, The Value of x and y are (x,y) = (7,3).

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Considering the given situation, it is found that:

a. The absolute value inequality is: |x - 131745| > 15000.

b. The possibilities for the price of car B are of x < $116,745 or x > x > $146,745.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It gives the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

In this problem, the difference between the price of car B of x and the price of car A of $131,745 is greater than $15,000, hence the absolute value inequality that models this situation is:

|x - 131745| > 15000.

Hence the possibilities for the price of car B are:

The complete problem is given by:

"Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $15,000. The price of car A is $131,745. a. Assuming that you do not know which model is more expensive, write an absolute value inequality that describes this situation. Use x for the cost of car B. b. What are the possibilities for the price of car B?"

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To determine if the confidence interval contradicts the quality control manager's claim, we need more information about the confidence interval itself.

The provided statement indicates that all of the values in the confidence interval are "." which implies that the values are missing or not provided. Without knowing the specific values or the range of the confidence interval, we cannot draw a conclusion. However, based on the claim made by the quality control manager, if the lower limit of the confidence interval is less than the claimed value (less than 100% of customers experiencing interruption), then it would contradict the claim.

Conversely, if the lower limit of the confidence interval is greater than or equal to the claimed value, then it would support the claim. Without the actual values or the range of the confidence interval, we cannot determine if it contradicts the quality control manager's claim.

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The empirical rule, also known as the 68-95-99.7 rule, is a useful tool in statistics for understanding the distribution of data. It states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Here's a more detailed explanation: A normal distribution is a type of data distribution that is symmetrical and bell-shaped. The mean, median, and mode of a normal distribution are all equal, and the standard deviation is a measure of the spread of the data.

The empirical rule states that if a set of data follows a normal distribution, approximately 68% of the data will fall within one standard deviation of the mean.

This means that if you calculate the mean and standard deviation of your data, you can use the empirical rule to estimate that 68% of the data will fall between the mean minus one standard deviation and the mean plus one standard deviation.

Similarly, the empirical rule states that approximately 95% of the data will fall within two standard deviations of the mean, and 99.7% will fall within three standard deviations of the mean.

These values are useful for understanding the distribution of your data and for making predictions about future data points.

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The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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Answer:

8

Step-by-step explanation:

Answer:

it will be 8

Step-by-step explanation:

Answer:

They need five weeks to make all their travels.

Step-by-step explanation:

Given that Cesar and Jocelyn are planning their trips to three countries next year.

One trip will be one week long, another two days, and the other two weeks.

In conclusion, they need five weeks to make this travel.

\(\large\bf\blue{ \diamond} \rm \: \: m \: - \: 8 \: = \: - 14 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 14 \: + \: 8 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 6\)

Answer:

Infinite number of solutions.

Step-by-step explanation:

Are the equations written correctly?  They are identical.  Since they overlap, every point is a solution for as long as the lines reach.  Since no one is stopping them, the answers are infinite.

Answer:

B.

Explanation:

π ≈ 3.142

22/7 ≈ 3.143

square root of ten ≈ 3.162