Which equation results from adding the equations in this system? Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14. Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22

A standard normal random variable (Z) has a mean of 0 and a standard deviation of 1. The probability of Z being greater than 0 is equal to the area under the normal curve to the right of 0, which is exactly half of the total area under the curve (since the curve is symmetric around the mean of 0). Therefore, P(Z>0) is equal to 0.5.

A standard normal random variable, like Z in your question, follows a standard normal distribution, which is a special type of normal distribution with a mean of 0 and a standard deviation of 1. Now, you're asked to find the probability P(Z > 0).

Since the standard normal distribution is symmetrical around the mean (0), the probability of Z being greater than 0 is equal to the probability of Z being less than 0. In other words, half of the distribution is on the right side of the mean, and the other half is on the left side.

Therefore, P(Z > 0) = 0.5, which is your answer.

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Answer:

-1

Step-by-step explanation:

[3-4(-1)^4]^3

=>(3-4)^3

=>(-1)^3

=>-1

Answer From Gauth Math

Answer:

-1

Step-by-step explanation:

\([3-4*(3-4)^4]^3\)        

\((3-4)^4= 1\\Therefore, [3-4*1]^3= -1^3\\So, -1^3= -1\\\\\)

Cube of any negative integer will be negative, or, a negative integer raised to any odd number will be negative. Likewise, a negative integer raised to an even number will be positive.

Answer: (7, 6)

Step-by-step explanation: Use the midpoint formula but instead you’re finding the coordinates of the other point(not sure if that makes sense). There’s a shorter way tho

The value of x that satisfies the given conditions is 14. By substituting this value back into the equation, we can verify that ab = 42, bc = 21, and ac = 63, confirming that b is indeed between a and c with the specified lengths.

Let's analyze the given information. We have three collinear points: a, b, and c. We are given the following lengths: ab = 3x, bc = 2x - 7, and ac = 2x + 35.

Since b is between a and c, the total length ac can be expressed as the sum of the lengths ab and bc:

ac = ab + bc

Substituting the given values:

2x + 35 = 3x + (2x - 7)

Simplifying the equation:

2x + 35 = 3x + 2x - 7

2x + 35 = 5x - 7

Moving the variables to one side and the constants to the other side:

5x - 2x = 35 + 7

3x = 42

Dividing both sides by 3:

x = 14

Therefore, the value of x is 14.

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The probability that the red die shows a three and the blue die shows a number greater than three is 1/12

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

Red die

Blue die

The sample space of a die is

{1, 2, 3, 4, 5, 6}

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

P(3) = 1/6

P(Greater than 3) = 1/2

So, we have

P = 1/2 * 1/6

Evaluate

P = 1/12

Hence, the probability of a three and and a number greater than three is 1/12

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Answer:

60°

Step-by-step explanation:

as they are a linear pair

120°+x=180

x=180-120

x=60°

Answer:

2

Step-by-step explanation:

Answer:

It's 2 weve done the worksheet ;)

Step-by-step explanation:

If x = 1 2 , then f( 1 2) = 0. this is the same as = 0. in completely factored form, f(x) = x-12.

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

then f(x) = x-12

because if we put x= 12

then we get f(x) = 0

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Here C is the constant of integration. Now, we can substitute back the original limits for the integral: ∫(1/2)(1 - (cos(x))^2)dx = ∫(1/2)(1 - (cos(arccos(x)))^2)dx

Therefore, we have: ∫(1/2)(1 - (cos(arccos(x)))^2)dx = x - (1/2)x^3/3 + C

where C is the constant of integration.To evaluate the integral, we need to substitute the given values for the variables. Let's consider the first term in the inner integral:

∫sinx(1/sinx)dx

We can simplify this expression by introducing a new variable u = sinx. Then, we have:

∫sinx(1/sinx)du

Now, we can use the substitution u = 1/v to simplify further:

∫sinx(1/sinx)du = ∫1/(1/v^2)dv

Next, we can introduce a new variable w = v^2. Then, we have:

∫1/(1/v^2)dv = ∫1/w dw

Now, we can use the substitution w = (1 + cosx)^2 to simplify further:

∫1/w dw = ∫1/[(1 + cosx)^2] dw

Next, we can introduce a new variable t = cosx. Then, we have:

∫1/[(1 + cosx)^2] dw = ∫1/[(1 + t^2)^2] dt

Now, we can use the substitution t = sinx to simplify further:

∫1/[(1 + t^2)^2] dt = ∫1/(1 + t^2)dt

Finally, we can integrate by parts:

∫1/(1 + t^2)dt = t - (1/2)t^3/3 + C

where C is the constant of integration. Therefore, we have:

∫sinx(1/sinx)du = t - (1/2)t^3/3 + C

Now, we can substitute back the original values for x:

∫sinx(1/sinx)du = t - (1/2)t^3/3 + C

where x = arcsin(t). Then, we have:

∫sin(arcsin(t))(1/sin(arcsin(t)))dt = t - (1/2)t^3/3 + C

Therefore, we have:

∫(1/2)(1 - t^2)dt = t - (1/2)t^3/3 + C

where C is the constant of integration. Now, we can substitute back the original limits for the integral:

∫(1/2)(1 - t^2)dt = ∫(1/2)(1 - (arcsin(t))^2)dt

Therefore, we have:

∫(1/2)(1 - (arcsin(t))^2)dt = t - (1/2)t^3/3 + C

where C is the constant of integration. Now, we can substitute back the original limits for the integral:

∫(1/2)(1 - (arcsin(t))^2)dt = ∫(1/2)(1 - (sin(x))^2)dx

Therefore, we have:

∫(1/2)(1 - (sin(x))^2)dx = x - (1/2)x^3/3 +

where C is the constant of integration. Now, we can substitute back the original limits for the integral:

∫(1/2)(1 - (sin(x))^2)dx = ∫(1/2)(1 - (sin(arccos(x)))^2)dx

Therefore, we have:

∫(1/2)(1 - (sin(arccos(x)))^2)dx = x - (1/2)x^3/3 + C

where C is the constant of integration. Now, we can substitute back the original limits for the integral:

∫(1/2)(1 - (sin(arccos(x)))^2)dx = ∫(1/2)(1 - (cos(x))^2)dx

Therefore, we have:

∫(1/2)(1 - (cos(x))^2)dx = x - (1/2)x^3/3 + C

where C is the constant of integration. Now, we can substitute back the original limits for the integral:

∫(1/2)(1 - (cos(x))^2)dx = ∫(1/2)(1 - (cos(arccos(x)))^2)dx

Therefore, we have:

∫(1/2)(1 - (cos(arccos(x)))^2)dx = x - (1/2)x^3/3 + C

where C is the constant of integration.

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After answering the provided question, we can conclude that the average (arithmetic mean) of 2x and 2y is 48.

The mean of a dataset is the sum of all values divided by the total number of values; this is also known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the total number of values in the dataset by the sum of those values yields this result. Calculations can be performed using both raw data and data that has been combined into frequency tables. The average of a number is referred to as its average. It is simple to calculate: Divide the total number of digits by the number of digits. the total divided by the count.

The average (arithmetic mean) of 2x and 2y is 48.

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Answer:

=1.5

Step-by-step explanation:

unknown=x

Pythagoras a²+b2=c²

√x²=√13.4-11.1

x=√2.3

=1.5

Answer:

You can sell at least 40 phones each week.

Step-by-step explanation:

Given that:

Weekly base salary = $150

Earning on each phone = $20

Maximum amount that can be earned each week = $950

Let,

m be the number of phones.

20m + 150 ≤ 950

20m ≤ 950 - 150

20m ≤ 800

Dividing both sides by 20

\(\frac{20m}{20}\leq \frac{800}{20}\)

m ≤ 40

Hence,

You can sell at least 40 phones each week.

Answer:

3.689e+20

Step-by-step explanation:

thats the answer

The equation that describes the relationship between the number of cans of paint used, and the number of square feet that are covered is y = 375x  .

In the question ,

a table representing relationship between the number of cans of paint used, and the number of square feet that are covered is given ,

we have to find the equation that represents it ,

the slope is = (750 - 375)/(2 - 1)

= 375/1

= 375

which means 1 can will cover 375 square feet of area

So , the equation for the point (2 , 750) and slope 375 ,

y - 750 = 375(x - 2)

y - 750 = 375x - 750

y = 375x - 750 + 750

y = 375x

Therefore , The equation that describes the relationship between the number of cans of paint used, and the number of square feet that are covered is y = 375x  .

The given question is incomplete , the complete question is

Employees of a painting service paint the interior walls of homes and office buildings. The following table shows the number of cans of paint the employees use, and the number of square feet they cover ,

Cans of paint      Area painted (square feet)

1                                   375

2                                  750

3                                  1125

4                                  1500

Write an equation describes the relationship between the number of cans of paint used, and the number of square feet that are covered ?

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The sum or difference of (1+5i) and (3-2i) is: -2 + 7i

To find the sum or difference of (1+5i) and (3-2i), we simply combine the real and imaginary parts separately.

The real part is obtained by adding or subtracting the real parts of the complex numbers, and the imaginary part is obtained by adding or subtracting the imaginary parts.

Given:

(1 + 5i) - (3 - 2i)

For the real part:

1 - 3 = -2

For the imaginary part:

5i - (-2i) = 5i + 2i = 7i

Therefore, the sum or difference of (1+5i) and (3-2i) is:

-2 + 7i

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The Right triangular prism will result in a triangular cross-section.

In Geometry, the shape or the figure that has three (even higher) dimensions, are known as solids or three-dimensional shapes.

When a solid is cut by a plane that is parallel to its base, forming a two-dimensional cross-section, in order to have a triangular cross-section the base or bases of that solid must be a triangle.

So, 1) Rectangular pyramid will result in a rectangular cross-section.

2)Right hexagonal prism will result in a hexagonal cross-section.

3)Cube will result in a squared cross-section.

4)Right triangular prism will result in a triangular cross-section.

Therefore, The Right triangular prism will result in a triangular

cross-section.

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The solid that could have resulted in a two-dimensional cross section in the shape of a triangle when cut by a plane parallel to its base is the "rectangular pyramid."

When a rectangular pyramid is cut parallel to its base, the resulting cross section is a triangle. This is because one of the sides of the pyramid's base forms the base of the triangle, and the other edges of the pyramid converge to form the other sides of the triangle in the cross section.

The other listed solids—right triangular prism, right hexagonal prism, and cube—would not form a triangle as their cross sections when cut parallel to their base; they would typically result in polygons with more sides or shapes different from a triangle.

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Answer:

t=75°

Step-by-step explanation:

Answer:

We have to find the volume of the 3 mm-tall cone.

To find the volume of the 3 mm-tall cone, we need to first calculate the volume of the cylinder, then subtract the volume of the hemisphere, and then subtract the volume of the smaller cone. The steps to find the volume of the composite figure are given below:

Step 1: Find the volume of the cylinder using the formula for the volume of a cylinder.

Volume of the cylinder = πr²h = π(6)²(12) = 1,130.97 cubic mm

Step 2: Find the volume of the hemisphere using the formula for the volume of a hemisphere.

Volume of the hemisphere = 2/3πr³/2 = 2/3π(6)³/2 = 226.19 cubic mm

Step 3: Find the volume of the smaller cone using the formula for the volume of a cone.

Volume of the smaller cone = 1/3πr²h = 1/3π(3)²(4) = 37.7 cubic mm

Step 4: Subtract the volume of the hemisphere and the smaller cone from the volume of the cylinder to get the volume of the composite figure.

The volume of the composite figure = Volume of the cylinder - Volume of the hemisphere - Volume of the smaller cone

= 1,130.97 - 226.19 - 37.7= 867.08 cubic mm

Therefore, the volume of the 3 mm-tall cone is not given in the question. We can find the volume of the 3 mm-tall cone by subtracting the volume of the hemisphere and the smaller cone from the volume of the cylinder and then multiplying by the ratio of the height of the 3 mm-tall cones to the height of the cylinder.

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A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the computer notebook be represented by x.

Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.

Also, the saving she made by buying this week will be $150, therefore, we can write,

x-0.84x = $150

0.16x = $150

x = 937.5

Hence, the regular selling price of the computer notebook will be $937.5.

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Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

Step-by-step explanation:

The top line is the payment amount.

The bottom line is the 2% fee.

Let's do the middle columns first.

For any payment amount, the fee is 2%.

To find a percent of a number, change the percent to a decimal by moving the decimal point of the percent to places to the left, and multiply the decimal by the number.

2% as a decimal is 0.02

To find 2% of a number, multiply 0.02 by the number.

The second column has payment amount of $23.50

We need to find 2% of $23.50

2% of $23.50 = 0.02 × $23.50 = $0.47

The third column has payment amount of $64.00

We need to find 2% of $64.00

2% of $64.00 = 0.02 × $64.00 = $1.28

Now we do the first and 4th columns. Here we know the fee, and we are looking for the payment amount.

Let the amount be x.

The fee is 2% of x, so the fee is

0.02x

We set the expression equal to the actual fee and solve for x.

The first column has a fee of $0.25

0.02x = $0.25

x = $0.25/0.02

x = $12.50

The 4th column has a fee of $1.64

0.02x = $1.64

x = $1.64/0.02

x = $82

Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

That's a pound sterling, and it's actually worth $1.32!

£650, is $873.23.

$405, is £301.47.

The binary equivalent to the decimal number 218 is 1101 1010.

To convert decimal to binary, we need to continuously divide the decimal number by 2 until the quotient is 0. The remainder of each division will give us the binary digits from right to left. In this case, 218 divided by 2 gives a quotient of 109 with a remainder of 0 (LSB). We then divide 109 by 2, which gives a quotient of 54 with a remainder of 1. We continue this process until we reach 0. The binary digits are read from the remainder column in reverse order, which gives us 1101 1010. This is the correct binary equivalent to the decimal number 218.
The binary equivalent of the decimal number 218 is 11011010. Here's a breakdown of the conversion process:
218 ÷ 2 = 109, remainder = 0 (2^1)
109 ÷ 2 = 54, remainder = 1 (2^3)
54 ÷ 2 = 27, remainder = 0 (2^2)
27 ÷ 2 = 13, remainder = 1 (2^4)
13 ÷ 2 = 6, remainder = 1 (2^5)
6 ÷ 2 = 3, remainder = 0 (2^3)
3 ÷ 2 = 1, remainder = 1 (2^1)
1 ÷ 2 = 0, remainder = 1 (2^0)
Putting the remainders together from top to bottom: 11011010
Therefore, the binary equivalent of 218 is 11011010.

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The ordered pair which is solution of 8x+16y > 32 is (-3,5) , the correct option is (b) .

In the question ,

it is given that ,

the linear inequality is 8x+16y > 32 .

to find the solution set ,

we substitute the options that are given

Option(a)

Substituting (0,2) in 8x+16y > 32 ,

we get ,

8(0) + 16(2) > 32

32 > 32 ,

false , hence it is not a solution .

Option(b)

Substituting (-3,5) in 8x+16y > 32 ,

we get ,

8(-3) + 16(5) > 32

-24 + 80 > 32

56 > 32

true , yes it is the solution .

Option(c)

Substituting (-1,1) in 8x+16y > 32 ,

we get ,

8(-1) + 16(1) > 32

-8 + 16 > 32

8 > 32

False , hence it is not a solution .

Option(d)

Substituting (4,0) in 8x+16y > 32 ,

we get ,

8(4) + 16(0) > 32

32 + 0 > 32

32 > 32

False , hence it is not a solution .

The only solution that satisfy the inequality is (-3,5) .

Therefore  , The ordered pair which is solution of 8x+16y > 32 is (-3,5) .

The given question is incomplete , the complete question is

Which ordered pair is in the solution set of 8x+16y > 32 ?

(a) (0,2)

(b) (-3,5)

(c) (-1,1)

(d) (4,0)

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Separate the variables.

\(\dfrac{dy}{dx} = x (x - 3) \implies dy = x (x - 3) \, dx\)

Expand the right side.

\(dy = (x^2 - 3x) \, dx\)

Integrate both sides. On the right side, use the power rule on each term.

\(\displaystyle \int dy = \int (x^2 - 3x) \, dx \implies y = \frac{x^3}3 - \frac{3x^2}2 + C\)

Given that \(y=3\) when \(x=2\), solve for \(C\).

\(3 = \dfrac{2^3}3 - \dfrac{3\cdot2^2}2 + C \implies C = \dfrac{19}3\)

Then the particular solution is

\(\boxed{y = \dfrac{x^3}3 - \dfrac{3x^2}2 + \dfrac{19}3}\)

Answer:

2(3w+4)

Step-by-step explanation:

Given:

(W) is a variable with an unknown number

you are multiplying 5 by (w) variable

you are adding the 8 to (w) and 5w

1. Combine like terms:

8+w+5w

8+6w

2. Rearrange terms:

8+6w

6w+8

3. Common factor:

6w+8

2(3w+4)

Answer: 2,754 students

Step-by-step explanation:

18 / 270= 1/15

(1/15)(41,310) = 2,754 students

No, I don't aree with him because the formula for the median is formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number. To find the median, first order the numbers from smallest to largest. Then find the middle number.

so it's 1,4,7,8 and 13 so the median is 7

so we do not agree with him

The statement 'The steps involved in a two sample hypothesis test are not necessarily twice the number of steps in a one sample hypothesis test.' is false Because, While a two sample hypothesis test may involve additional steps, such as comparing the means or variances of two samples, the number of steps involved in each type of test can vary depending on the specific hypothesis being tested and the statistical method used.

The number of steps in a hypothesis test is not determined by the number of samples being tested. Instead, the steps involved in a hypothesis test depend on the type of test being conducted, the level of significance chosen, and the nature of the data being analyzed.

In both one-sample and two-sample hypothesis tests, the basic steps involved are as follows:

State the null and alternative hypotheses.

Choose the level of significance.

Determine the appropriate test statistic and its distribution under the null hypothesis.

Collect the data and calculate the test statistic.

Determine the p-value or the critical value.

Draw a conclusion and make a decision regarding the null hypothesis.

The main difference between a one-sample and a two-sample hypothesis test is that in a one-sample test, we compare the sample data to a known population parameter, while in a two-sample test, we compare the sample data from two different groups.

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