identify the coefficient and constant in the following expression and simplify it. 4t^2 + 10 + t^2 - 7+ - 6​

Solution

Given the following scores below

To find the sum of squares of the deviations,

Firstly, we find the mean, the formula to find the mean of ungrouped data is

Where n = 5

Substitute the given data into the formula to find the mean of ungrouped data

Secondly, we subtract the mean from each of the values given as shown below

Then, to find the sum of squares of the deviations

We add the square of each of the deviations deduced above

Hence, the sum of squares is 130

Answer: what does they K stand for

Step-by-step explanation:maybe I can help you

9514 1404 393

Answer:

  k = -1

Step-by-step explanation:

Subtract 10 and simplify. We choose this value so the constants on the right add up to give 0.

  3 -10 = 3 + 7k + 7 -10

 -7 = 7k

Divide by 7.

  -7/7 = 7k/7

  -1 = k

The person's actual score is 135 , To find the actual score of a person who is 1.5 standard deviations below the mean, we can use the following formula:

Actual Score = Mean - (Number of Standard Deviations * Standard Deviation)

Given that the mean is 150 and the standard deviation is 10, and the person's score is 1.5 standard deviations below the mean, we can substitute these values into the formula:

Actual Score = 150 - (1.5 * 10)

Actual Score = 150 - 15

Actual Score = 135

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The value of the function expression evaluation; f (x) + g (x) - h (x) as required is; 3x² + 6x + 2.

It follows from the task content that the expression which represents f (x) + g (x) - h (x) be determined.

Since;

F(x) = 3x + 5

G(x) = 4x² - 2

H(x) = x² - 3x + 1

Therefore,

f (x) + g (x) - h (x) = 3x + 5 + 4x² - 2 - (x² -3x + 1)

= 3x² + 6x + 2

Ultimately, the value of f (x) + g (x) - h (x) is; 3x² + 6x + 2.

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Answer:

3

Step-by-step explanation:

The slope of the given line is \(\frac{2}{3}\).

If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Here, the given line passes through points (0, 6) and (-9, 0).

Therefore, the slope of this line is (m)

\(= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}\)

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Answer:

-------------------

Given:

First, convert the two side length as below:

Now find the third side:

Hence the third side is 5√7 feet.

The probability that the 78% of all the dialysis patients survive for at least five years will exceed 80%, rounded to 5 decimal places is 0.3192.

The proportion of dialysis patients surviving for at least 5 years = 78% = 0.78

Assuming that a simple random sample of 100 dialysis patients is selected, the sample size is n = 100.

Let p be the proportion of dialysis patients in the sample surviving for at least 5 years.

Then, the sample mean is given by:

μp = E(p) = p = 0.78

So, the mean proportion of dialysis patients surviving for at least 5 years is equal to 0.78.

The standard error of the sample proportion is given by:

σp=√p(1−p)/n

σp=√0.78(1−0.78)/100

σp=0.04278

The required probability is to find P(p > 0.80):

P(p > 0.80) = P(Z > (0.80 - 0.78)/0.04278)

P(p > 0.80) = P(Z > 0.467) = 1 - P(Z < 0.467) = 1 - 0.6808 = 0.3192 (rounded to 5 decimal places)

Therefore, the probability that the proportion surviving for at least five years will exceed 80% in a simple random sample of 100 new dialysis patients is 0.3192.

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Answer:

Overall price after service charge is 9.53

Step-by-step explanation:

8.5 is 10 percent

0.85 is one percent

0.85 multiplied by 2 is 1.70

Add the percentages together and you have 1.03

Then you add that onto the price of the original meal

Answer:

Tip: $1.02

Total: $9.52

Step-by-step explanation:

Answer:

7050

Step-by-step explanation:

use a calculator buddy

and if they ask you to show your work use order of operation

Answer:

answer was 3)

Step-by-step explanation:

Because function was star with 1,2,3,4,

There are 2 types of images namely virtual and real image

The point where light rays from an object meet or appear to contact after reflection or refraction is sometimes referred to as the image. In this concept, a "object" might be anything that light rays are emanating from.

Real images and virtual images are the two types of images. The method by which they are created distinguishes a genuine image from a virtual image. Light beams must converge to create an actual image, whereas they must diverge to create a virtual image.

Real images are those that are created when light rays collide at a specific location after being reflected or refracted by a mirror or lens.

Virtual pictures are those that only seem to form when viewed from behind a mirror. Behind the mirror, the picture is not actually there. When light beams are refracted or reflected, a virtual picture is created.

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Answer = 24 ÷ sin 60 = 27.71281 = 28 ft

a) 81.86 percent of the pennies will weigh between 2.7 and 3.3g. b) 100 percent of the pennies will weigh between 2.5 and 3.7g. c) 2.28 percent of the pennies will weigh less than 2.7g. d) 15.87 percent of the pennies will weigh more than 3.3g.

To solve these questions, we will use the properties of the normal distribution and z-scores.

a) To find the percentage of pennies that weigh between 2.7 and 3.3g, we need to calculate the area under the normal curve between these two values.

First, we need to standardize the values using z-scores:

z1 = (2.7 - 3.1) / 0.2 = -2

z2 = (3.3 - 3.1) / 0.2 = 1

Next, we can use a standard normal distribution table or a calculator to find the area between these two z-scores. The area between -2 and 1 is approximately 0.8186 or 81.86%.

Therefore, approximately 81.86% of the pennies will weigh between 2.7 and 3.3g.

b) Similarly, to find the percentage of pennies that weigh between 2.5 and 3.7g, we need to standardize the values and calculate the area between the corresponding z-scores.

z1 = (2.5 - 3.1) / 0.2 = -3

z2 = (3.7 - 3.1) / 0.2 = 3

The area between -3 and 3 encompasses the entire distribution and is equal to 1 or 100%.

Therefore, 100% of the pennies will weigh between 2.5 and 3.7g.

c) To find the percentage of pennies that weigh less than 2.7g, we need to calculate the area to the left of the corresponding z-score.

z = (2.7 - 3.1) / 0.2 = -2

Using a standard normal distribution table or a calculator, we find that the area to the left of -2 is approximately 0.0228 or 2.28%.

Therefore, approximately 2.28% of the pennies will weigh less than 2.7g.

d) To find the percentage of pennies that weigh more than 3.3g, we need to calculate the area to the right of the corresponding z-score.

z = (3.3 - 3.1) / 0.2 = 1

Using a standard normal distribution table or a calculator, we find that the area to the right of 1 is approximately 0.1587 or 15.87%.

Therefore, approximately 15.87% of the pennies will weigh more than 3.3g.

Correct Question :

A group of students weighs 500 US pennies. They find that the pennies have normally distributed weights with a mean of 3.1g and a standard deviation of 0.2g

a) What percentage of pennies will weigh between 2.7 and 3.3g?

b) What percentage of pennies will weigh between 2.5 and 3.7g

c.) What percentage of pennies will weigh less than 2.7g?

d.) What percentage of pennies will weigh more than 3.3g?

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Answer:

9.1 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions.

We want to find x, which is opposite the angle and we know the hypotenuse.

We can use sin theta, which is the opposite side over hypotenuse.

sin theta = opp /hyp

sin 49 = x/12

12 sin 49 =x

9.05651=x

To 1 decimal place

9.1 =x

Answer:

Pictures below showing the answer :)

Step-by-step explanation:

The formula for the sum of an infinite geometric series is S=\(\frac{a_{1}}{1-r}\)

The value of a1 and r can be determined by using the concept of geometric progression.

Taking example of an infinite series

Let the repeating fraction or infinite series be 0.232323... then it can be written as a sum

0.23+0.0023+0.000023+...

Here, the first term \(a_{1}\)=0.23 = \(\frac{23}{100}\)

\(a_{2} =0.0023 = \frac{23}{10000} =\frac{23}{100*100}\)

Hence every next term is multiplied by a common ratio 1/100

∴ r=1/100

What is Geometric progression?

It is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio, r. Examples of a geometric sequence are powers \(k^{r}\) of a fixed non-zero number k, such a \(2^{k}\). The general formula for geometric progression is:

\(a, ar, ar^{2} , ar^{3} , ...\)

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The mean absolute deviation in the given situation would be 41.33.

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection.

It is a statistical summary of statistical variability or dispersion.

We now begin with a different set of data: 1, 1, 4, 5, 5, 5, 5, 7, 7, 10. The mean of this data set is 5, much as the previous data set. Hence, 18/10 = 1.8 is the average absolute deviation from the mean.

So, according to the given values:
n = 100

mean = 100

Absolute Deviation = 7

Then using the MAD calculator the answer would be:

41.3333

Therefore, the mean absolute deviation in the given situation would be 41.33.

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Answer:

ans willbe -8

Step-by-step explanation:

-1/2 × 2 =-1

-1×2=-2

-2×2=-4

-4×2=-8

Answer:

  A - scatter plot; it would show the relationship

Step-by-step explanation:

You want to determine if a scatter plot or line graph is a more appropriate way to represent the relationship between a manatee's weight and height.

The variables of concern in the data are weight and height. Time is not involved. (Eliminates choices B and D.)

It seems likely there may not be a functional relationship between weight and height. That is, manatees of the same weight may have different height, and vice versa. This suggests a line graph would not be a useful way to represent the relationship

A scatter plot in this case would be used to relate weight on one axis to height on the other axis. Any relationship between them would show up as grouped data points, or data points that generally fall on a line or curve.

Since the "marine biologist [is] interested in seeing the relationship between a manatee's weight and height", ...

  A scatter plot [is more appropriate] because it would show the association or relationship between the two variables.

__

Additional comment

As is often the case, the wording of the answer that matches the wording of the problem statement tells you which answer is appropriate.

Answer:A scatter plot, because it would show the association or relationship between two variables

Step-by-step explanation:

Answer:

Yes because the distance of (7,-7) from origin is equal to the radius of the circle.

Step-by-step explanation:

The units g/cm3 and kg/m3 are both used to express the density of a material, which is a measure of its mass per unit volume. Here's how you can convert g/cm3 to kg/m3: Multiply the density in g/cm3 by a conversion factor of 10^-3. Divide the result by a conversion factor of 100^3.

The conversion between g/cm3 and kg/m3 involves multiplying the density in g/cm3 by a conversion factor that takes into account the differences in units of mass (g vs. kg) and volume (cm3 vs. m3).

For example, let's consider the density of water, which is 1 g/cm3. To convert this density to kg/m3, we multiply by 10^-3 to get 0.001 kg/g. Then, we divide by 100^3 to get the final result: 1 g/cm3 * 10^-3 kg/g / 100^3 cm^3/m^3 = 0.001 kg/g * 1/10^9 cm^3/m^3 = 0.001/10^9 kg/m^3 = 1 kg/m^3.This is how you can convert g/cm3 to kg/m3.

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By performing some simple mathematical operations, we know that Sophia earns $366 per hour.

So, to calculate how much Sophia earns in 1 hour:

Now, calculate earnings per hour:

Rounding off: $366

Therefore, by performing some simple mathematical operations, we know that Sophia earns $366 per hour.

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Complete question:

Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.

sophia earns $___ per hour

Answer:

0

Step-by-step explanation:

625 / 25 = 25

55g + 25 = 25

55g = 25 - 25

55g = 0

g = 0/55

g = 0

Answer:

\( \sf \: g = 0\)

Step-by-step explanation:

Given equation,

→ 55g + 25 = 625 ÷ 25

Now the value of g will be,

→ 55g + 25 = 625 ÷ 25

→ 55g + 25 = 25

→ 55g = 25 - 25

→ g = 0 ÷ 55

→ [ g = 0 ]

Hence, the value of g is 0.

9514 1404 393

Answer:

  A'(-4, -4), B'(6, -4), parallel

Step-by-step explanation:

The dilation factor multiplies each of the coordinate values. The line that was y=-2 becomes the line y=-4, a parallel horizontal line.

Answer:

-2,-1,0

Step-by-step explanation:

the integers between -3 and 1, not including -3 and 1 are

-2,-1,0

The experimental probability of landing on red is 7/20 or 0.35 or 35%

The complete question is added as an attachment

From the question, we have the following outcomes:

Red = 7

Green = 5

Blue = 5

Yellow = 3

The total number of spins is

Total = Red + Green + Blue + Yellow

This gives

Total = 7 + 5 + 5 + 3

Evaluate the sum

Total = 20

The experimental probability of landing on red is the calculated as:

P(Red) = Red/Total

Substitute the known values in the above equation

P(Red) = 7/20

Evaluate

P(Red) = 0.35

Express as percentage

P(Red) = 35%

Hence, the experimental probability of landing on red is 7/20 or 0.35 or 35%

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Answer: Since the second differences are constant, there is a quadratic relationship between and .

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Points from the graph

Points from f(x)                         points from g(x)

(1,2)                                                (1, 1/2)

(4, 16)                                             (4, 4)

f(x) was multiplied by 1/4 to get to g(x)

From the construction of the triangle ABC we get that the measure length of BC is approximately 4.22cm

To construct triangle ABC, we can follow these steps:

To measure the length of BC in triangle ABC, we can use the law of sines.

The law of sines states that in any triangle ABC:

a / sin(A) = b / sin(B) = c / sin(C)

Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.

In our triangle ABC, we know AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. We can find the measure of angle ACB by using the fact that the sum of the angles in a triangle is 180 degrees:

angle ACB = 180 - angle BAC - angle ABC

= 180 - 96 - 35 = 49 degrees

Now, we can apply the law of sines to find the length of BC:

BC / sin(35) = 6 / sin(96)

BC = 6 × sin(35) / sin(96)

Using a calculator, we can evaluate this expression to get:

BC ≈ 4.22 cm

Therefore, the length of BC in triangle ABC is approximately 4.22 cm.

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Answer: