if your latest test grade and your average test grade on previous exams are equal, your average test grade will:

Answer:

Please provide a question to be answered.

Answer:

6

Step-by-step explanation:

6+6=12

12x6=72

Answer:

$35

Step-by-step explanation:

Monday: $15

Tuesday: $10

15+10=35

$35 total

Answer:

-25

Step-by-step explanation:

The equation of each line given the y-intercept and x-intercept

5 and -4 is 4y- 20 = 5x.

The line has an x-intercept at x = -4 and y intercept at y = 5 this means that the line passes through the points(,0) and(,5).

Now we find the pitch m of the line passing through the points(,0) and(,5)(x-intercept).

The pitch of the line is

m = y2- y1/ x2- x1

= 5- 0/ 0-(- 4)

= 5/ 4

Point- pitch Formula y = m(x-x1)

where m is the pitch and( x, y) is the given point.

Now substituting the values

y- 0 = (5/4)( x-(- 4))

y = (5/4)( x 4)

4y- 20 = 5x

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The complete question :

Find the equation of the line that has an y intercept and x-intercept at

5 and -4.

​

Given information: Number of employees (n) = 10, Mean (μ) = $70,000, Median = $55,000, Standard deviation (σ) = $20,000. The largest number on the list = $100,000. We have to find the new mean, variation, and standard deviation after the value is changed from $100,000 to $1,000,000.

Now the largest value on the list is $1,000,000, and the other nine values range from $55,000 to $100,000. So, the new mean can be calculated as follows:

New mean = [($55,000 × 4) + ($70,000 × 5) + ($100,000 × 1) + ($1,000,000 × 1)] / 10= $623,000Hence, the new mean is $623,000.Using the formula, Variance (σ²) = Σ(xi - μ)²/n, where xi = data value, μ = mean and n = number of data values.

In the previous case, variance was equal to:(20,000² + 15,000² + 10,000² + 5,000² + 0² + 5,000² + 10,000² + 15,000² + 30,000² + 30,000²)/10 = 2,100,000Now, let’s calculate the variance with $1,000,000 as the highest value.

Variance = (20,000² + 15,000² + 10,000² + 5,000² + 0² + 5,000² + 10,000² + 15,000² + 900,000² + 900,000²)/10Variance = 3,580,000,000

The new variance is 3,580,000,000.Hence, the new variance is $3,580,000,000.Now, using the formula,Standard deviation (σ) = √Variance

The old standard deviation was:σ = √(2,100,000) = $1,449.14The new standard deviation will be:σ = √(3,580,000,000) = $59,797.96Hence, the new standard deviation is $59,797.96.

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Answer:

its 8.97 I think

Step-by-step explanation:

6.9×8.97

Answer:

\(\frac{6}{27}\)

no restricted values of x

\(x \:∈ \: ℝ\)

Adding SCID to the sample and purging it in a TOC test serves to oxidize organic carbon, remove inorganic carbon, enhance accuracy, and calibrate the analytical instrument. These steps are crucial for obtaining reliable and meaningful TOC measurements.

In a TOC (Total Organic Carbon) test, adding scid (strong chemical oxidizing agent) to the sample and purging it serves several purposes:

1. Oxidation of organic carbon: SCID reacts with the organic carbon present in the sample, converting it into carbon dioxide (CO2). This is important because the TOC test measures the amount of carbon in a sample, including both inorganic and organic carbon. By oxidizing the organic carbon, we can accurately quantify the inorganic carbon content.

2. Removal of inorganic carbon: SCID also helps in removing inorganic carbon compounds present in the sample. Inorganic carbon includes carbonates, bicarbonates, and other carbon-containing compounds that are not of organic origin. By purging the sample with SCID, we eliminate these inorganic carbon species, ensuring that the measured TOC value represents only the organic carbon content.

3. Enhanced accuracy: The addition of SCID and subsequent purging ensure that the TOC test provides a more accurate measurement of the organic carbon content. By removing inorganic carbon and oxidizing organic carbon, the test can specifically quantify the amount of carbon derived from organic sources.

4. Analytical calibration: The use of SCID in the TOC test allows for calibration of the analytical instrument. SCID is a known compound with a known carbon content. By introducing SCID to the sample, the instrument can be calibrated based on the measured carbon dioxide generated from the oxidation of SCID. This calibration step helps ensure the accuracy and reliability of the TOC test results.

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The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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Answer:

7x - 4

Step-by-step explanation:

-2x + (9x - 4)

-2x + 9x -4

9x - 2x = 7x

7x - 4

Brainliest

The equation that satisfies the data in the table is,

y = -4x - 4 [Option D]

Definition of an Equation:

An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.

The (x, y) coordinates from the given table are,

(-1,0), (0, -4), (1, -8)

Now, these points must satisfy the required equation.

Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.

Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.

Taking the fourth equation, y = -4x - 4

Putting x = -1 in this equation, we get,

y = -4(-1) - 4

y = 4 - 4

y = 0

Likewise, this equation satisfies the rest of the data in the table too.

Therefore, y = -4x - 4 is the required equation.

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Answer:

1.2(2.5)x - 1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:5

Step-by-step explanation:

Answer:

the answer is 5.

Step-by-step explanation:

_/25 = 5.

Answer:

76

Step-by-step explanation:

Answer:

5 hours 38 minutes

Step-by-step explanation:

Let's call Hannah H, and Destiny D.

9H = 1 (think of 1 as 100% of the job done). call this equation '1'.

15D = 1      call this '2'

multiply '1' by 5:

45H = 5

multiply '2' by 3:

45D = 3

add both up:

45H + 45D = 5 + 3

45H + 45D = 8

45(H + D) = 8.

H + D is Hannah and Destiny working together. we want to make the right side of equation 1.

divide both sides by 8:

(45/8) (H + D) = 1

so it will take both of them 45/8 ≈ 5 hours 38 minutes to paint it together

Answer:

40 mph

Step-by-step explanation:

She drove 160 miles for 4 hours

160/4 = 40

This means for each hour she drove 40 mph

Hope this helps :)

Answer:

C

Step-by-step explanation:

160 divided by 4 = 40

She drove for four hours at a speed of 40mph - 4x40=160

Answer:

I am assuming the 8:15 was a typo and was actually supposed to be a 8:14. Anyways, they are equivalent because they all make 4:7 when simplified.

Step-by-step explanation:

4:7 = itself at this point, as they don't have numbers that can simplify each other on both sides, unless you are looking for a decimal answer.

8:14 = 4:7 <- You can divide the 8 and 14 by two. 8 divided by 2 is four, and 14 divided by 2 is 7.

16:28 = 4:7 <- You can divide the 16 and the 28 by four. 16 divided by 4 is 4, and 28 divided by 4 is 7.

20:35 = 4:7 <- You can divide both sides by 5. 20 divided by 5 is 4, and 35 divided by 5 is 7.

Answer:

4000 + 400x = 3750 + 450x

Step-by-step explanation:

The number of cars where the offer would be equal is 5 cars.

4000 + 400x = 3750 + 450x  Subtract 400x from both sides of the equation

4000 = 3750 + 50x  Subtract 3750 from both sides of the equation

250 = 50x  Divide both sides by 50

5 = x

If you sell less than 5 cars a month, take job A.  If you sell more than 5 cars a month, take job B.

Ebony's brother is x + 4 years old.

Ebony's mum is 3x years old.

Since Ebony is x years old, and her brother is 4 years older than her, the expression is x + 4, as her brother is +4 years older.

Ebony's mum is 3 times Ebony's age, which is x. 3 times x is shortened into 3x.

Answer:

(See the attachment)

Step-by-step explanation:

None

The length of Hayden shadow is 31.875 inches.

Equation is an expression which is used to show the relationship between two or more variables and numbers.

Let y represent Charlie height and x represent his shadow.

y ∝ x

y = kx

Charlie is 64 inches tall and casts a shadow of 30 inches. Hence:

y = 2.13x

If Hayden is 68 inches tall, hence:

The length of Hayden shadow is 31.875 inches.

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Answer:

Step-by-step explanation:

Starting elevation of B = +200 feet

Change in elevation for B = 75 feet down

Final elevation of B = +200 - 75 = +125 feet

The addition equation for B can be written as:

Starting elevation + Change = Final elevation

+200 - 75 = +125

The number line diagram for B is as follows:

+------------------------+------------------------+------------------------+

A B C D

+200 +125 +225

<----- 75 ft ----->

(change in elevation)

Answer:

(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

Step-by-step explanation:

Given

(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Thus

(a + b)³ + 8c³

= (a + b)³ + (2c)³

= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )

= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

Answer:

72 dollars

Step-by-step explanation:

all you do is multiply

Answer:

Point Form:

( − 9 , 9 )

Equation Form:

x = − 9 , y = 9

Answer:

i) The sample space S for the experiment of tossing a fair coin 3 times in a row using arrangements can be written as:

S = {(H,H,H), (H,H,T), (H,T,H), (T,H,H), (T,T,H), (T,H,T), (H,T,T), (T,T,T)}

where H denotes heads and T denotes tails.

All the sets of S and their corresponding probabilities assuming equiprobable events are:

A0 = {TTT} with probability P(A0) = 1/8

A1 = {(H,T,T), (T,H,T), (T,T,H)} with probability P(A1) = 3/8

A2 = {(H,H,T), (H,T,H), (T,H,H)} with probability P(A2) = 3/8

A3 = {HHH} with probability P(A3) = 1/8

ii) The probability associated with the following events (sets) are:

P(A0) = 1/8

P(A1) = 3/8

P(A2) = 3/8

P(A3) = 1/8

iii) To show that S = A0 ∪ A1 ∪ A2 ∪ A3, we need to show that every element in S belongs to at least one of the sets A0, A1, A2, A3, and no element in S belongs to more than one of these sets.

Since S contains all possible outcomes of the experiment, it is clear that every element in S belongs to at least one of the sets A0, A1, A2, A3.

Moreover, we can see that each element in S contains exactly one of the following number of heads: 0, 1, 2, or 3. Therefore, no element in S can belong to more than one of the sets A0, A1, A2, A3. Hence, we have shown that S = A0 ∪ A1 ∪ A2 ∪ A3.

To show that the partition events A0, A1, A2, A3 are mutually exclusive, we need to show that they do not have any common elements, i.e., A0 ∩ A1 = A0 ∩ A2 = A0 ∩ A3 = A1 ∩ A2 = A1 ∩ A3 = A2 ∩ A3 = ∅.

It is clear that A0, A1, A2, A3 are mutually exclusive from their definitions.

iv) To compute the probabilities P(Aj) using combinatorics, we can use the formula:

P(Aj) = number of outcomes in Aj / total number of outcomes in S

The number of outcomes in Aj can be calculated using combinatorics. For example, to find the number of outcomes in A1, we can use the formula for the number of ways to choose k items from n items without replacement, which is given by the binomial coefficient:

n choose k = n! / (k!(n-k)!)

So, the number of outcomes in A1 can be calculated as follows:

Number of outcomes in A1 = 3 choose 1 = 3! / (1!(3-1)!) = 3

Using the same approach, we can find the number of outcomes in the other sets as:

Number of outcomes in A0 = 1 choose 0 = 1

Number of outcomes in A2 = 3 choose 2 = 3! / (2!(3-2)!) = 3

Number of outcomes inA3 = 1 choose 3 = 1

Using these values, we can calculate the probabilities P(Aj) as:

P(A0) = 1/8

P(A1) = 3/8

P(A2) = 3/8

P(A3) = 1/8

Note that these probabilities add up to 1, as expected.

Answer:

78.54

Step-by-step explanation:

Hope this helps!

Answer:

Answer would be D

Step-by-step explanation: