What are the number in the number line and solve and graph?

Answer:

[tex]y^{6} z^{6}[/tex]

Step-by-step explanation:

(yz)^6 is the same as:

yz * yz * yz * yz * yz * yz

which is the same as

[tex]y^{6} z^{6}[/tex]

Answer:

28 units

Step-by-step explanation:

To find the area of a rectangle, multiply the base by its height.

Area = b · h

Area = 7 · 4

Area = 28 units

Point D's coordinates are (-3, 3).

We may use the fact that the opposite sides of a parallelogram are parallel and the same length to get the coordinates of point D such that ABCD forms a parallelogram.

First, we may determine the segment AB's length and slope:

Length AB = sqrt((1 - (-1))² + (6 - (-2))²) = sqrt(64) = 8

Slope AB = (6 - (-2)) / (1 - (-1)) = 8/2 = 4

As AB and CD are parallel, CD's slope must likewise be 4.

Next, we may determine segment AB's midpoint, which will coincide with segment CD's midpoint:

Midpoint AB is equal to ((-1+1)/2, ((-2+6)/2)). (0,2)

Point D will therefore have the same coordinates as the point that is symmetric to point C around the centre of AB. The following is where to find this point:

Midpoint AB - C = (20-3, 22-1) = D = 2 * (-3, 3)

Hence, point D's coordinates are (-3, 3).

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The equation that links x and y is [tex]y=(\frac{1}{3} )x+3[/tex] if x is 3,6,9,12,15 & y is 4,5,6,7,8.

The definition of the an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical equation is a statement that two numbers or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account together in order to comprehend or describe the whole situation, this is known as an equation.

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As per the concept of compound interest, the balance after 7 years will be $2,200.24.

In your case, you have a savings account balance that is compounded annually. The interest rate is 2% per year, which means that at the end of each year, the balance will increase by 2% of the previous year's balance. So, if your current balance is $1,932.00, the balance after one year will be:

Balance after one year = $1,932.00 + 2% of $1,932.00

= $1,932.00 + $38.64

= $1,970.64

After two years, the balance will be:

Balance after two years = $1,970.64 + 2% of $1,970.64

= $1,970.64 + $39.41

= $2,010.05

The formula for compound interest is:

A = P(1 + r/n)ⁿˣ

where:

A = the final amount

P = the principal amount (initial balance)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

ˣ = the number of years

In your case, the interest is compounded annually, so n = 1. The annual interest rate is 2%, which is equivalent to 0.02 as a decimal. The initial balance is $1,932.00, and you want to know the balance after 7 years, so t = 7. Using these values in the formula, we get:

A = $1,932.00(1 + 0.02/1)¹ˣ⁷

= $1,932.00(1.02)⁷

= $2,200.24

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The one real solution of the equation 6x^(2)+7x-h=0 can be expressed in terms of equality as h = -49/24 using discriminant formula.

To find all values of h for which the quadratic equation 6x^(2)+7x-h=0 has one real solution, we need to use the discriminant formula. The discriminant formula is given by:

D = b^(2) - 4ac

Where a, b, and c are the coefficients of the quadratic equation. In this case, a = 6, b = 7, and c = -h. Plugging these values into the formula, we get:

D = 7^(2) - 4(6)(-h)

D = 49 + 24h

For the quadratic equation to have one real solution, the discriminant must be equal to 0. Therefore, we can set D = 0 and solve for h:

49 + 24h = 0

24h = -49

h = -49/24

Therefore, the value of h for which the quadratic equation has one real solution is h = -49/24. We can write this as an equality:

h = -49/24

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The final simplified expression is: [tex]6x^(2) - 22x + 9[/tex]

To simplify the given expression, we need to combine like terms. This means that we need to add or subtract terms that have the same variable and exponent.

The given expression is: [tex]12x^(2)+9-8x-6x^(2)-14x[/tex]

First, let's combine the terms with the same variable and exponent:

[tex]12x^(2) - 6x^(2) = 6x^(2)[/tex]

[tex]-8x - 14x = -22x[/tex]

Now, let's substitute these simplified terms back into the expression:

[tex]6x^(2) + 9 - 22x[/tex]

This is the simplified expression. There are no more like terms to combine, so we cannot simplify it further.

The final simplified expression is: [tex]6x^(2) - 22x + 9[/tex]

Answer: [tex]6x^(2) - 22x + 9[/tex]

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Answer:

12 blocks will made from the 3 pound block

Step-by-step explanation:

The population two years ago was 28,080.

To calculate this, we need to use the following formula: Population two years ago = Population now - (Population increase rate x Number of years). Therefore, the population two years ago was 31,200 - (10% x 2) = 28,080.

We can also look at this another way. To calculate the 10% increase per year, we can use the following formula: Population increase rate = (Population now - Population two years ago) / Number of years. Therefore, 10% = (31,200 - 28,080) / 2 = 3,120.

We can use this same formula to calculate the population three years ago. Using the same formula, the population three years ago was 25,960.

To summarize, the population two years ago was 28,080 and the population three years ago was 25,960. The population has been increasing by 10% each year.

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To rearrange the equation y - 3 = 2x into slope-intercept form, we need to solve for y.

First, we can add 3 to both sides of the equation to isolate y:

y - 3 + 3 = 2x + 3

Simplifying the left side gives:

y = 2x + 3

Now, the equation is in slope-intercept form y = mx + b, where m is the slope (in this case, m = 2) and b is the y-intercept (in this case, b = 3).

as the quadrilateral is a square, all the sides will be equal to each other so DE is equal to DG.

3t + 46 = 8t - 19

-5t = -65

5t = 65

so t = 13

According to the information we can infer that the volume of the prism would be 63cm³

To find the volume of the prism we must perform the following mathematical operation:

First of all we must find the cube root of each of the options.
[tex]\sqrt[3]{84} = 4,3795191398878892657\\\sqrt[3]{63} = 3,9790572078963918596\\\sqrt[3]{42} = 3,4760266448864497867\\\sqrt[3]{7} = 1,9129311827723891012[/tex]

Once we find these values we must check them with the formula for the volume of a pyramid. In this case, it would be the area of the base times the height. Then we must take into account that the cube root of these numbers would be the equivalent to the side length of the figures.

In the case of 63, the procedure would be as follows:

Then we can establish that this value corresponds to the length of the sides and the height of the pyramid because as a result it gives us the volume of the pyramid. So to find the volume of the prism we must do the following operation:

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The smallest possible area of a square which can be made from the three pieces is 11833.203125 cm².

To find the smallest possible area of a square, we need to make sure that we use the longest pieces to form the sides of the square. Therefore, we need to divide the 360 cm steel bar into equal parts first, then use the remaining parts to divide the other two steel bars.

Let's call the length of each part x.

The 360 cm steel bar can be divided into n parts of length x, where:

n = 360/x

Similarly, the 300 cm steel bar can be divided into m parts of length x, where:

m = 300/x

And the 210 cm steel bar can be divided into k parts of length x, where:

k = 210/x

To form a square, we need to use all the parts we cut from the steel bars. Therefore, the length of the sides of the square will be nx + mx + kx, which is equal to (n + m + k)x.

The area of the square will be (n + m + k)x²

To find the smallest possible area, we need to minimize (n + m + k)x². Since x can be any positive number, we can focus on minimizing n + m + k.

n + m + k = (360/x) + (300/x) + (210/x)

n + m + k = (870/x)

To minimize (n + m + k), we need to maximize x. However, x cannot be greater than the smallest steel bar, which is 210 cm long.

Therefore, x must be a factor of 210.

Let's try x = 1 cm. In this case, n + m + k = 870 cm, which means we can form a square with sides of length 870 cm/4 = 217.5 cm.

The area of this square is 217.5^2 = 47250.625 cm².

Let's try x = 2 cm. In this case, n + m + k = 435 cm, which means we can form a square with sides of length 435 cm/4 = 108.75 cm.

The area of this square is 108.75² = 11833.203125 cm².

Let's try x = 3 cm. In this case, n + m + k = 290 cm, which means we cannot form a square using all the parts we cut from the steel bars.

Therefore, the smallest possible area of a square which can be made from the three pieces is 11833.203125 cm², and this can be achieved by cutting the steel bars into parts of length 2 cm.

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A total of 16 customers order the classic cheesecake.

To find out how many customers order the classic cheesecake, c, we need to subtract the number of customers who order ice cream from the total number of customers who order dessert.

This is because the question tells us that there are only two dessert options, ice cream and classic cheesecake, c.

Here's the equation we can use to solve the problem:

c = total number of customers who order dessert - number of customers who order ice cream

We can plug in the given values from the question:

c = 38 - 22

Simplifying the equation:

c = 16

Therefore, 16 customers order the classic cheesecake, c.

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Answer:

a) 0.32 = 32/100 = 8/25

b) 3.003 = 3 + 3/1000 = 3000/1000 + 3/1000 = 3003/1000

c) 13.134 = 13 + 134/1000 = 13000/1000 + 134/1000 = 13134/1000

d) 5.2303 = 5 + 2303/10000

The conditional expectation of Y given that X is less than or equal to 1/2 is calculated by taking the weighted average of the possible values of Y, with the weights being the probabilities of X being less than or equal to 1/2 for each value of Y.
The formula for E(Y | X<=1/2) is:
E(Y | X<=1/2) = ∑y P(Y=y | X<=1/2) * y
To find P(Y=y | X<=1/2), we can use the formula:
P(Y=y | X<=1/2) = P(X<=1/2 | Y=y) * P(Y=y) / P(X<=1/2)
We can then plug in the values for each possible value of Y and calculate the conditional expectation.

For example, if Y can take on the values 0, 1, and 2, and the probabilities of X being less than or equal to 1/2 for each value of Y are 0.2, 0.5, and 0.3, respectively, and the probabilities of Y being 0, 1, and 2 are 0.4, 0.3, and 0.3, respectively, then:
E(Y | X<=1/2) = (0.2 * 0.4 / 0.5) * 0 + (0.5 * 0.3 / 0.5) * 1 + (0.3 * 0.3 / 0.5) * 2
E(Y | X<=1/2) = 0 + 0.3 + 0.36
E(Y | X<=1/2) = 0.66

Therefore, the conditional expectation of Y given that X is less than or equal to 1/2 is 0.66.

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Answer:

(2, 1) is the point where the two lines intersect.

To prove it I'll use substitution

The equations are:

y = 2x - 3 and y = -3x + 7

I'll plug in 2x - 3 for y in y = -3x + 7 so...

2x - 3 = -3x + 7

Simplify:

5x = 10

x = 2

Now I'll plug 2 for x in y = 2x - 3

y = 2(2) - 3

y = 4 - 3

y = 1

So the ordered pair/solution is (2, 1)

Hope that explains it!

Answer:

288

Step-by-step explanation:

-2 x -8 =16
16 x 18 = 288

Answer:

288

is the answer

Step-by-step explanation:

please mark brainiest

Conduct a hypothesis test or calculate and compare the measures of center and spread for each sample.to determine if there is a statistically significant difference between the two waiting line configurations.

1. We can use a two-sample t-test to compare the means of the two samples and determine if the difference is statistically significant. The null hypothesis would be that there is no difference between the means of the two samples, and the alternative hypothesis would be that there is a significant difference between the means.

If the p-value is less than the significance level (e.g., 0.05), we can reject the null hypothesis and conclude that there is a statistically significant difference between the waiting times for the two configurations.

2. The two samples of waiting times from the hospital experiment can be compared by using the measures of center, such as the mean and median, and the measures of spread, such as the standard deviation and range.

In conclusion, to compare the two samples from the hospital experiment, conduct a hypothesis test or calculate and compare the measures of center and spread for each sample.

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Answer:

66.5

Step-by-step explanation:

average the 2 together (57+76)/2

The variable costs to produce one widget is 6.00

From the question, we have the following parameters that can be used in our computation:

E = 6.00 q + 11,000

The variable cost is the slope of the relation

Using the above as a guide, we have the following:

Fixed cost = 11000

Variable cost = 6.00

The above parameters mean that

The variable cost is 6.00

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a. The standard error of the mean would be 9.49.

b. The probability that the sample mean will be less than $125 is 0.1539.

c. The probability that the sample mean will be more than $145 is 0.1401.

d. The probability that the sample mean will be between $120 and $160 is 0.9356.

e. The symmetrical interval that includes 95% of the sample means is ($116.11, $153.31).

a. The standard error of the mean is calculated using the formula:

SE = σ / √n

where σ is the standard deviation and n is the sample size.

In this case, σ = $30 and n = 10. So, the standard error of the mean is:

SE = 30 / √10

SE = 9.49

b. To find the probability that the sample mean will be less than $125, we need to calculate the z-score:

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error of the mean.

In this case, x = $125, μ = $134.71, and SE = 9.49. So, the z-score is:

z = (125 - 134.71) / 9.49

z = -1.02

Using a z-table, we find that the probability of getting a z-score less than -1.02 is 0.1539. So, the probability that the sample mean will be less than $125 is 0.1539.

c. To find the probability that the sample mean will be more than $145, we need to calculate the z-score:

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error of the mean.

In this case, x = $145, μ = $134.71, and SE = 9.49. So, the z-score is:

z = (145 - 134.71) / 9.49

z = 1.08

Using a z-table, we find that the probability of getting a z-score less than 1.08 is 0.8599. So, the probability that the sample mean will be more than $145 is 1 - 0.8599 = 0.1401.

d. To find the probability that the sample mean will be between $120 and $160, we need to calculate the z-scores for both values:

z1 = (x1 - μ) / SE

z2 = (x2 - μ) / SE

where x1 and x2 are the sample means, μ is the population mean, and SE is the standard error of the mean.

In this case, x1 = $120, x2 = $160, μ = $134.71, and SE = 9.49. So, the z-scores are:

z1 = (120 - 134.71) / 9.49

z1 = -1.55

z2 = (160 - 134.71) / 9.49

z2 = 2.67

Using a z-table, we find that the probability of getting a z-score less than -1.55 is 0.0606 and the probability of getting a z-score less than 2.67 is 0.9962. So, the probability that the sample mean will be between $120 and $160 is 0.9962 - 0.0606 = 0.9356.

e. To find the symmetrical interval that includes 95% of the sample means, we need to use the formula:

x = μ ± z*SE

where x is the sample mean, μ is the population mean, z is the z-score, and SE is the standard error of the mean.

In this case, μ = $134.71, z = 1.96 (for a 95% confidence interval), and SE = 9.49. So, the symmetrical interval is:

x = 134.71 ± 1.96*9.49

x = 134.71 ± 18.6

x = (116.11, 153.31)

So, the symmetrical interval that includes 95% of the sample means is ($116.11, $153.31).

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In the following question, Starting time: 9:55 A. M. Elapsed time: 27 minutes provide a snapshot of a specific moment in time and the amount of time that has passed since a particular event or task began.

You have provided two pieces of information: the starting time and the elapsed time.

The starting time is 9:55 A.M., which means that an event or task began at that time. The time is given in the 12-hour clock format, where A.M. stands for "ante meridiem" and refers to the period between midnight and noon.

The elapsed time is 27 minutes, which means that 27 minutes have passed since the event or task started. "Elapsed time" refers to the amount of time that has passed since the start of an event or task.

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The correct equation that describes the relationship in the table is option B, which is y = x2 + 3.

An equation is a mathematical statement that expresses the relationship between two or more variables. Equations are used to solve problems and represent real-world relationships.

To understand why this is the correct equation, it is important to look at the values of x and y in the table. When x increases by one, the value of y increases by the same amount. This indicates that the relationship between x and y is one of direct proportionality, wherein the value of y is directly proportional to the value of x. This can be expressed mathematically as y = kx, where k is a constant.

We can also look at the values of x and y in the table to determine the value of k. When x increases from 2 to 3, the value of y increases from 7 to 17. This means that k = 10. This can be written as y = 10x.

The value of y when x = 0 is 3, which is the constant term. This can be written as y = 10x + 3.

Therefore, the equation that describes the relationship in the table is y = x2 + 3.

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Answer:

B. 6

Step-by-step explanation:

3/4 can be added to itsef to be 6/8

6/8

----      6/1   = 6

1/8

Answer:

Step-by-step explanation:

tbh i don't know how to explain it but i feel like its D i multiply and add

1. The value of (-g)(x) is [tex]-x^2 + 3x - 3[/tex].

Thus, option (d) is correct.

2. The domain is all real numbers or in interval notation: (-∞, ∞).

Given Function: f(x) = 2x -1 and g(x) = [tex]x^2 + x - 2[/tex]

Now, simplify the expression by distributing the negative sign:

(-g)(x) = [tex]-x^2 - x + 2[/tex]

Therefore, the simplified expression is [tex]-x^2 + 3x - 3[/tex].

Thus, option (d) is correct.

2. Given function: f(x) = 3 (x-4)

The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a real output.

In this case, consider any restrictions on x that would make the expression 3(x - 4) undefined.

The function f(x) = 3(x - 4) is defined for all real numbers because there are no restrictions or divisions by zero involved.

Therefore, the domain is all real numbers.

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The question attached here is in incorrect form, the correct form is:

1. Let f(x) = 2x -1 and g(x) = [tex]x^2 + x - 2[/tex]. What is ( - g)(x) equal to?

Select one: a. [tex]-x^2 + x +1[/tex]

b. [tex]x^2 + 3x - 3[/tex]

c. [tex]2x - 1 - x^2 + x - 2[/tex]

d. [tex]-x^2 + 3x - 3[/tex]

2. Find the domain of f(x) = 3(x - 4).

We predict that Ed should draw about 1 blue marble out of the 4 draws. The closest option is 1.

What is probability?

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.

There are 4 colors of marbles, each with 8 marbles in the bag, so the probability of drawing a blue marble on any given draw is:

P(blue) = 8/32 = 1/4

Since Ed is drawing 4 marbles with replacement, the probability of drawing a blue marble on each individual draw is the same:

P(blue) = 1/4

The probability of drawing a blue marble exactly k times out of 4 draws can be calculated using the binomial probability formula:

P(k blue out of 4) [tex]= (4 choose k) * (1/4)^k * (3/4)^{(4-k)[/tex]

where (4 choose k) is the binomial coefficient, which gives the number of ways to choose k blue marbles out of 4 draws.

E(number of blue) = Σ(k * P(k blue out of 4)), summed over all possible values of k from 0 to 4.

This calculation can be done directly or by using the formula:

E(number of blue) = n * P(blue)

where n is the total number of draws (4 in this case) and P(blue) is the probability of drawing a blue marble on each draw.

Using this formula, we get:

E(number of blue) = 4 * (1/4) = 1

Therefore, we predict that Ed should draw about 1 blue marble out of the 4 draws. The closest option is 1.

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Answer:

=35

Step-by-step explanation:

5d - 25/5

5(8) -25/5

40 - 5

=35

Answer:

the answer is 35

Step-by-step explanation:

d=8, therefore plug 8 into the equation

5d - [tex]\frac{25}{5}[/tex]

5(8)-  [tex]\frac{25}{5}[/tex]

40-5

35