Help help help pleaS

Answer:15/2

Step-by-step explanation:

Answer:

a. 8x+12                      

b.6-x                            

c.20-8x

d.-3-9x

e.65-20x

f.6x^2+14x-8

g. 24x^2-8x

h. 9x^2+30x

1. x^2-13x+42

j. 26+4y

k. x^2-2x-24

l. x^2+13x+30

m. 429+23x

n. 15x-7

o. 2x-40

p. 68-13x

Step-by-step explanation:

Answer:

C y > 2x/3 + 1

Step-by-step explanation:

Dashed line eliminates any equation option  with "equal to" in it

y rises 4 units as x increases 6 units between the blue points so slope is 4/6 = 2/3

y intercept is 1

Shaded blue area is above the dashed line so "greater than" rules apply

Answer:

C

Step-by-step explanation:

A line segment that measures 92 millimeters in length can be drawn using scale.

Given that,

A line segment has to be drawn which has a measure of length 92 millimeters.

We know that,

10 millimeters = 1 centimeter

1 millimeter = 1/10 centimeters

92 millimeters = 92/10 = 9.2 centimeters

So it is enough to draw a line segment of length 9.2 centimeters.

In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.

In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.

So draw a line segment starting from 0 to 9.2.

Hence the line segment is drawn with scale.

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1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

36+12=48

36÷48×100=75

answer=75%

Answer:

0.4 mL

Step-by-step explanation:

I was able to do this in my head, but...

If you just take the fraction of 2000 units/5000 units/mL, then the units will cancel out and you're essentially left with 2000/5000 mL. 2000/5000 can be reduced to 2/5, and as a decimal, 2/5 comes out to 0.4 or 40%.

So, 0.4 mL (about half) would be administered to the patient.

C(F(75)) represents the cost of gas for a vehicle with a fuel efficiency of F(75) when the vehicle is traveling at a certain speed of 75 miles per hour.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

Since Let F(s) is the Fuel efficiency for a vehicle when the vehicle is traveling at a certain speed and C(F) is the cost of gas for a vehicle with a certain fuel efficiency.

Therefore, we can say C(F(75)) represents the cost of gas in U.S dollars for a vehicle with a fuel efficiency of F(75) miles per gallon when the vehicle is traveling at a certain speed of 75 miles per hour.

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Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

The answer of the given question based on the hypothesis the answer is the calculated t-value of -2.58 is less than the critical t-value of -2.009, we cannot reject the null hypothesis.

A hypothesis is an educated guess or prediction that is used to explain an observation or set of observations. It is a proposed explanation or possible answer to a research question or problem that is based on prior knowledge, experience, and research. In science, a hypothesis is often tested through experiments or observations to determine if it can be supported or rejected by the evidence.

Hypothesis:

The city of Goose Pimple, Vermont, hypothesizes that contracting with Grimms Health Maintenance Organization will result in a significant reduction in health care costs per employee.

Null Hypothesis:

The null hypothesis is that there is no significant difference in health care costs per employee between last year and this year with the contract with Grimms Health Maintenance Organization having no impact.

Evaluation:

To evaluate the hypothesis, we will perform a one-sample t-test. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

Assuming a significance level of 0.05, we will reject the null hypothesis if the calculated t-value is greater than the critical t-value.

Population mean = $3,261 (given)

Sample mean = $3,015

Sample standard deviation = $1,745

Sample size = 50

t = (3015 - 3261) / (1745 / sqrt(50)) = -2.58

Using a t-table with 49 degrees of freedom (sample size - 1) and a significance level of 0.05, the critical t-value is ±2.009.

Since the calculated t-value of -2.58 is less than the critical t-value of -2.009, we cannot reject the null hypothesis. This means that there is not enough evidence to suggest that there is a significant difference in health care costs per employee between last year and this year with the contract with Grimms Health Maintenance Organization having no impact.

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Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

Answer:

  see attached graph

Step-by-step explanation:

There are a couple of ways you can look at this.

Point-Slope Form

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Comparing this to the given equation, we see that ...

  k = -14, m = -7, h = 0

That is, the equation describes a line with slope -7 through point (0, -14).

The slope is the ratio of rise to run. Usually, "run" is considered to be positive in the +x direction (to the right). Here, you run out of room on most graphs if you look for a point that is 7 units down and 1 unit right of the y-intercept at (0, -14). (That point is (1, -21).) So, it is more convenient to start at the y-intercept (0, -14) and go 1 unit left and 7 units up to find another point on the line. That point is (-1, -7). With two points plotted, you can draw the graph.

__

Slope-Intercept form

We discovered above that the y-intercept is -14. You can get there also by putting the equation in slope-intercept form:

  y = mx +b . . . . . . line with slope m and y-intercept (0, b)

Adding -14 to both sides of the given equation gives you this form.

  y = -7x -14

The method of plotting is substantially identical to that described above.

__

Standard form

The standard form of the equation is ...

  ax +by = c

where a > 0, and a, b, c are mutually prime integers.

Adding 7x-14 to both sides of the equation puts it into standard form:

  7x +y = -14

The x- and y-intercepts are found by setting the other variable to zero and solving for the one that is left. Here, that means the x-intercept is ...

  c/a = -14/7 = -2

and the y-intercept is ...

  c/b = -14/1 = -14

These x- and y-intercepts are easily plotted on the x- and y-axes. The graph will be the line drawn through them. The attached graph shows the line and the intercepts.

Answer:

4 inches

Step-by-step explanation:

Just have to make it into the simplest form.

Answer:

Seems to be some missing numbers in the question

Step-by-step explanation:

There are two dog runs at the pet store. The first one is ??? feet long and the second one is ??? feet long. The owner of the store wants to increase the length of the first one by ??? feet. She wants to increase the length of the second one by ??? feet. (a) After the lengths of the dog runs are increased, what is the length of the longer dog run? Explain how you found your answer.

Answer:

x=6

Step-by-step explanation:

scale factor is 2

3(x-1) = 2(7.5)

10 = 2(x-1)

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer:

  x = π/12, 5π/12

Step-by-step explanation:

We can work this problem a couple of ways. We can convert it to single trig function, shifted horizontally. Or we can convert it to a double-angle equation.

__

We recall the sum of angles formula is ...

  sin(x+y) = sin(x)cos(y) +cos(x)sin(y)

Using this, we can rewrite the left side of the equation using some angle offset y, and some scale factor k.

  k·sin(x +y) = k·sin(y)·cos(x) +k·cos(y)·sin(x) = 2cos(x) +2sin(x)

finding the shift

Equating coefficients of cos(x) and sin(x), we can solve for k and y:

  k·sin(y) = 2

  k·cos(y) = 2

The ratio of these equations is ...

  (k·sin(y))/(k·cos(y)) = 2/2

  tan(y) = 1   ⇒   y = π/4

  k = 2/sin(π/4) = 2√2

shifted equation

So, our original equation becomes ...

  2√2·sin(x +π/4) = √6

Dividing by √2 and using the inverse sine function, we have ...

  x +π/4 = arcsin((√3)/2) = π/2 ±π/6

  x = π/4 ±π/6

  x = π/12, 5π/12

__

If we square both sides of the original equation, we get ...

  (2sin(x) +2cos(x))² = (√6)²

  4sin²(x) +8sin(x)cos(x) +4cos²(x) = 6

  2sin(x)cos(x) = (6 -4)/4 = 1/2 . .  . . use sin² +cos² = 1, subtract 4, divide by 4

Using the trig identity 2sin(x)cos(x) = sin(2x), we can find ...

  2x = arcsin(1/2) = π/2 ±π/3 +2kπ . . . . k = an integer;

  x = π/4 ±π/6 +kπ . . . . for integer k

  x = {π/12, 5π/12, 13π/12, 17π/12}

We know that squaring the equation can introduce extraneous solutions, so we need to try these out. For x in the third quadrant, the sine and cosine values are both negative, so the only useful solutions here are ...

  x = π/12, 5π/12

_____

Additional comment

Based on the above, we now know that any trig expression of the form ...

  a·sin(x) +b·cos(x)

can be rewritten to the form ...

  (√(a² +b²))·sin(x +arctan(b/a)) . . . . . a scaled and shifted sine function

The arctangent will have to take the signs of 'a' and 'b' into account in order to get the angle quadrant right.

Step-by-step explanation:

Leyes conmutativas. ...

- Leyes asociativas. ...

- Leyes distributivas. ...

- Leyes de idempotencia. ...

- Leyes de Morgan.

The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

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The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Mr. Lewis will pay a total of $4,320 for the five-year level-term life insurance policy.

To calculate the total cost of Mr. Lewis' five-year level-term life insurance policy, we need to determine the total number of monthly premium payments he will make and then multiply that by the cost of each premium.
1. Calculate the total number of months in the 5-year period:

5 years \(\times\) 12 months/year = 60 months
2. Multiply the total number of months by the monthly premium: 60 months \(\times\)$72/month = $4,320
So, the total cost of Mr. Lewis' level-term life insurance policy over the 5-year period is $4,320.

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Answer:

2

Step-by-step explanation:

2 to the second power is 4 and 3 to the second power is 9 if you add 4 and 9 you will get 14. hope i could help:)!

Answer:

x^2 + 3x + 9 = (x + 3)(x + 3)

When x = 2, we have:

(2 + 3) * (2 + 3)

5 * 5

25

Answer:

DC = 3

Step-by-step explanation:

Based on triangle similarity theorem, we would have the following equation:

\( \frac{AD}{AC} = \frac{AE}{AB} \)

Plug in the values

\( \frac{9}{9 + DC} = \frac{12}{12 + 4} \)

\( \frac{9}{9 + DC} = \frac{12}{16} \)

\( \frac{9}{9 + DC} = \frac{3}{4} \)

Cross multiply

3(9 + DC) = 9×4

27 + 3DC = 36

Subtract 27 from each side

3DC = 36 - 27

3DC = 9

Divide both sides by 3

DC = 9/3

DC = 3

The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.

Examples of transformations are given as follows:

The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.

The transformation for this problem has the rule defined as follows:

(x,y) -> (x + 2, -y).

The transformations are defined as follows:

Neither transformation is a dilation, hence it is a rigid motion.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

she needs to make 11 bars

Step-by-step explanation:

42-20

22

each bar is 2 servings so

22÷2

11 bars