You have a block of metal with a volume of 56 cubic centimeters and a mass of 153 grams.
What is the density?

Using distance formula,

The given distance function is not proper distance function. the distance between (0,0,0) and (0,1,0) is 1 unit .

Proper distance function: A function is a proper distance function if the following conditions are satisfied

we have given distance function is

d(x,y) = ∑(xᵢ - yᵢ)³

we want to check that the given function is proper distance function or not.

for this we check the above three conditions

a) we see that d(x,y) is may be positive due to odd powers of difference of x and y values .

that is d(x,y) may be greater than zero.

so, it is not necessary to check the other conditions .

condition of proper distance function is not satisfied by given distance function so, it is not proper distance function.

Now, we shall calculate the distance between (0,0,0) and (0,1,0).

distance formula for three cordinate is

d(x,y,z) = √(x₂-x₁)²+(y₂-y₁)²+(z₂-z₁)²

x₁= y₁= z₁= 0, x₂= 0 , y₂= 1 , z₂= 0

putting all the values in above distance formula we get, d(x,y) = √(0) + (1-0)²+0 = 1

Hence, given distance function is not proper distance function and the distance between (0, 0, 0) and (0, 1, 0) is 1 units .

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complete question

d(x,y) = ∑(xᵢ - yᵢ)³

is the above function a proper distance function? why? explain your answer. measure the distance between (0, 0, 0) and (0, 1, 0)

Answer:

39

Step-by-step explanation:

75% of 52 is 39

Hope this helps!

Answer:

\(\huge\boxed{\sf x = 85}\)

Step-by-step explanation:

0.2x - 6 = 11

0.2x = 11 + 6

0.2x = 17

x = 17/0.2

\(\rule[225]{225}{2}\)

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \: \)

\( \purple {━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps!

Answer:

2 733.25 + 7270 = 10 003.25

Step-by-step explanation:

192 * 36 = 6 912 +358 = 7 270

45425 - 36000 ( allowed miles for 3 years )

9 425 * 0.29 = 2 733.25

The fundamental difference between t-test and z-score is: t-test is used to determine the difference in data sets, the standard deviation and the z-score is used to to draw data from a given population with different means and standard deviation. A) The t statistic uses the sample mean in place of the population mean

T-test is a statistic model which is used to find how averages of different data sets differ in case the standard deviation and Z-scores statistic helps to draw data from populations with different means and standard deviations and also place them on a common scale.

The z-core formula is:

Z₁=\(\frac{x-m}{s}\)

Therefore the fundamental difference is that the t-test uses the variance in place of the population variance.

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Complete question:

Which of the following is a fundamental difference between the t statistic and a z-score?

A) The t statistic uses the sample mean in place of the population mean

B) All of the choices are differences between t and z.

C) The t statistic computes the standard error by dividing the standard deviation by n - 1 instead of dividing by n.

D) The t statistic uses the sample variance in place of the population variance.

Answer:

109th value is 760

Step-by-step explanation:

the nth term rule is 7n-3

7×109=763

763-3=760

When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.Hence, (c) When a Type I error is made, the process will be declared out of control and adjusted when the process is actually in control.

(d) When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control. The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.

The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the

When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.The process will be declared out of control and adjusted when the process is actually in control.When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control.

The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010.The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the sample size is increased.

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The statement which is true about the given quadratic equation is; Choice C; C. The zeros are –3 and –, because y = (x + 3)(7x + 2).

Since the given equation is; y = 7x² + 23x + 6.

The equation can be solved by factorisation as;

y = (x + 3) (7x + 2)

Consequently, when y = 0, to determine the solution; we have;

x + 3 = 0

x = -3.

Or

7x + 2 = 0

7x = -2

x = -2/7

Therefore, the statement which is correct about the equation is; Choice C; C. The zeros are –3 and –, because y = (x + 3)(7x + 2).

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Answer:

Step-by-step explanation:

if 1 = 2 than 3 is 4

Answer:

Step-by-step explanation:

Let the number be x

Four times a # added to -7:

Sum of four times the # and 6:

Subtracted from twice the  Sum:

Answer:

7/12

Step-by-step explanation:

So, the probability of picking up a blonde wig = 1/2

The probabiliy of picking up a brunette wig = 1/12

The question asks to find th eprobability of picking up either of these types of wigs =

1/2 + 1/12

= 6/12 + 1/12 ( LCM of 12 and 1 is 12 )

= 7/12

Hope this helps

The remainder when 2019 is divided by 5 is 4.

What is the division?

A division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each, and so on.

To find the remainder when 2019 is divided by 5, we can use the modulo operator (%), which gives the remainder of the division. In Python, we can write:

2019 % 5

The output will be the remainder of the division of 2019 by 5, which is:

4

Therefore, the remainder when 2019 is divided by 5 is 4.

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Answer:

12.6

Step-by-step explanation:

well the true answer is 12.56, i might of rounded wrong lol

Answer:

29°

Step-by-step explanation:

:)

The gallons of gas that Aubrey would need to travel 111.54 miles is 7.8 gallons.

In Mathematics, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.

By applying direct proportion to the given information, we have the following mathematical equation:

15 gallons of gasoline = 214.5 miles

X gallons of gasoline = 111.54 miles

By cross-multiplying, we have the following:

214.5x = 15 × 111.54

x = 1,673.1/214.5

x = 7.8 gallons of gasoline.

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Answer:

600 cm squared :)

Step-by-step explanation:

Surface area of cube: 6 x s^2

Now lets solve!!

6 x 10^2

6 x 100

600

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

328 yards

Step-by-step explanation:

a. There is a 0.6827 percent chance that the random variable will take on a value between 45 and 55. b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

a. To find the probability that the random variable will assume a value between 45 and 55, we need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 45 is:

\(z = (45 - 50) / 5 = -1\)

The z-score for 55 is:

\(z = (55 - 50) / 5 = 1\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 45 and 55 is:

P(-1 < Z < 1) = 0.6827 (to 4 decimals)

As a result, there is a 0.6827 percent chance that the random variable will take a value between 45 and 55.

b. To find the probability that the random variable will assume a value between 40 and 60, we again need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 40 is:

\(z = (40 - 50) / 5 = -2\)

The z-score for 60 is:

\(z = (60 - 50) / 5 = 2\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 40 and 60 is:

P(-2 < Z < 2) = 0.9545 (to 4 decimals)

Hence, there is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

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Answer: 100 degrees

Step-by-step explanation:

The solution of the quadratic equation is x=5±√35 .

A quadratic equation is given by the equation which can be written in the form ax²+bx +c.

the given quadratic equation is :

x²-10x+25=35

Simplifying the equation we get:

or, x²-10x+25-35=0

or, x²-10x-10=0

Now we will solve the equation by completion squares method:

x²-10x-10=0

or, x²-2×x×5+5²-5²-10=0

or, (x-5)²=35

or, x-5=±√35

or, x= 5±√35

Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .

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Answer:

hmm i think its dependent!

srry if im wrong tho

By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

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Answer:

3X3/2 is greater

Step-by-step explanation:

Go left to right and solve the equations.

Equation 1: 3 multiplied by 3 is 9. 9 divided by 2 is 4.5

Equation 2: 3 multiplied by 2 is 6. 6 divided by 3 is 2

Equation 1 yields a greater value.

Answer:

The 3x3/2 is greater than 3x2/3

Step-by-step explanation:

Here is a simple tip when solving these questions:

Decimal form is always great to use because you get the answer instantly instead of finding a common denominator while involving fractions.

Let's solve 3x3/2.

First, do 3x3 which is 9.

Your problem should be 9/2

Now, you could do this as a mixed number but like I said there shall be more work so you should do 9/2 on a calculator or divide but involve decimal point if you have a remainder.

9 divided by 2 is 4.5

9/2 is 4.5 (Above is the interpretation in words)

Next, do 3x2/3

The same thing as last, do 3x2 first.

Your problem should be 6/3  

If we know our division facts then 6 divided by 3 is 2.

Lastly, compare our numbers.

The 3x3/2 is 4.5 and the 3x2/3 is 2
Line the numbers up:

4.5

2.0

The tens digit clearly shows that 4 is greater than 2.

Therefore,

The 3x3/2 is greater than 3x2/3

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer:

7/8 or 0.875

Step-by-step explanation:

Answer:

0.875 is the answer

Step-by-step explanation:

7 /8

..........

The interest accumulation on the loan is equals to $526.50.

As a financial term, when an interest is added to the account balance, it is considered accrued. Interest accrues on loans such as a mortgage, savings accounts, student loans, and other investments.

In our calculation, we are using a simple interest because it is only an interest charge that borrowers pay lenders for a loan. It is calculated by using the principal only and does not include compounding interest.

Data

Loan = 4,050

Interest rate = 6.5%

Time = 2 years

To get our Interest, we will use the simple interest formula which is "S.I. = PRT/100". Where P is 4050, r = 6.5%, T= 2 years.

The interest accumulated is computed as follows:

= $4050 * 6.5% * 2 years

= $526.50

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This text describes a scenario where someone has taken out a loan of $4050. The loan has an interest rate of 6.5%, which means that the borrower will have to pay an additional 6.5% of the loan amount as interest. The loan is taken for a period of 2 years, which is the time frame during which the borrower has to repay the loan.

The question being asked is about the interest that will be accumulated on this loan. Interest accumulation refers to the increase in the amount of money that the borrower owes due to the interest that is being charged on the loan.

In this case, we need to calculate the total amount of interest that will be charged over the 2-year period, based on the loan amount and interest rate.

To calculate the interest accumulated on this loan, we can use the following formula:

Interest = Principal * Rate * Time

Where:

- Principal = the amount borrowed (in this case, $4050)

- Rate = the interest rate (in this case, 6.5% or 0.065 as a decimal)

- Time = the length of the loan in years (in this case, 2 years)

Plugging in the values, we get:

Interest = $4050 * 0.065 * 2

Interest = $527.25

So the interest accumulated on this loan is $527.25. This means that the borrower will have to pay back a total of $4577.25 ($4050 + $527.25) over the 2-year period.

The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

The following variables must be included in Z for the model to be dynamically complete: Zt-2, Zt-1, Zt, yt-2. Thus, the correct answer is (a), (b), (c), and (g).Explanation:According to the given information and model, for the model to be dynamically complete, it needs to include some variables in Z. To be precise, for a model to be considered as dynamically complete, all the past values should be included in Z. The given model is:y

= Bo + Bızı + Bazi-1 + $3Zt-2 + $4Z1-3 + up .Expected value of y, conditional on all current and past values of z and y, is equal to Ely,IZ.The variables that must be contained in Z for the model to be dynamically complete are as follows:Zt-2Zt-1Ztyt-2 Thus, the correct answer is (a), (b), (c), and (g). Hence, this is the required solution.

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The probability of an event and the probability of its complement always sum to 1.

The probability of an event and its complement refers to the likelihood of either the event occurring or its opposite (not occurring). In any probability space, the sum of these two probabilities must always equal 1.

This can be understood using the concept of the sample space, which represents all possible outcomes of an experiment. The event and its complement together cover the entire sample space, leaving no room for other outcomes. Therefore, the sum of their probabilities must account for the entire probability space, which is equal to 1.

In other words, if the probability of an event occurring is P(A), then the probability of its complement (not A) occurring is 1 - P(A). Adding these probabilities together yields 1:

P(A) + P(not A) = P(A) + (1 - P(A)) = 1

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The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.

Given:

91 pts nine percent of Americans have rh-negative o blood type.

In a random sample of 200 Americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% = ?

Using central limit theorem,

P(p cap < p) = P(Z<p cap-p/√p(1-p)/n)

so,

P(p cap < 0.12) = P(Z<0.12-0.09/√(0.09×0.91/200)

= P(Z<1.4825)

= 0.9309 (from Z table)

= 0.93 (Rounded to second decimal place)

Hence we get the required answer.

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