Consider point P(4, 2) and line l with equation −3x+4y=6 .
The equation of the line that passes through P and is parallel to l

Answer:

These tables represent a quadratic function with a vertex at (0,-1) what is the average rate of change for the interval from x=7 to x=8?

B.-15

Step-by-step explanation:

The average rate of change from 7 to 8 = -15

The average rate of change of a quadratic function is calculated using:

Rate = (f(b) - f(a))/(b - a)

The interval is from x = 7 to 8.

So, we have:

(a,b) = (7,8)

The equation becomes

Rate = (f(8) - f(7))/(8 - 7)

Evaluate the difference

Rate = (f(8) - f(7))/1

This gives

Rate = f(8) - f(7)

From the table, we have:

Rate from 5 to 6 = -11 where the constant is -2

So, we have:

Rate from 6 to 7 = -11 - 2

Rate from 6 to 7 = -13

Also, we have:

Rate from 7 to 8 = -13 -2

Rate from 7 to 8 = -15

Hence, the average rate of change from 7 to 8 = -15

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Answer:

Step-by-step explanation:

if they are saying  approximately  then y = 3 for the y intercept, and

the slope,  m ,   is   3/4    ( rise / run)

then the equation for this line is

y =  [tex]\frac{3}{4}[/tex] * x + 3

y = 3x/4 + 3

Answer: 43/75 chance

Step-by-step explanation:

total number of coins:

15 + 28 + 12 + 20 = 75

total number of coins that arent quarters or dimes:

15 + 28 = 43

so the probability would be 43/75, which is not simplifiable

The probability that a randomly selected person who tested positive for the flu is vaccinated  is 465/2321.

Probability determines the chances that an event would happen. The odds  the event occurs is 1 and the odds that the event does not occur is 0.

The probability that a randomly selected person who tested positive for the flu is vaccinated  = number of people who tested positive and have been vaccinated / total number of people

465/2321

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Answer:

its  465 Over 950 on edge 2022

Step-by-step explanation:

Answer:

-4,-1

Step-by-step explanation:

So how I did it is, I made a mintale picture of it in my head. Then, I "counted" how much space I had to go for the next point. And that's how I got the answer of -4,-1.

9514 1404 393

Answer:

 yes

Step-by-step explanation:

If two angles of one triangle match two angles of another, all three angles must be the same, and the triangles are similar. Here, angles A and D are congruent, and angles C and F are congruent. Hence ΔABC ~ ΔDEF.

Answer:

2.983

I hope it is helpful to you

The area of the region in the first quadrant bounded on the left and right by the two given graphs is; A: 2.983

We are given the equations;

x = y⁴ + y²  ----(eq 1)

x = 5y   ----(eq 2)

Now, let us put eq 1 into eq 2 to get;

y⁴ + y² = 5y

y⁴ + y² - 5y = 0

Using online roots of polynomial calculator, we have;

y = 0 and 1.516

Thus, the area of the region will be gotten by finding the integral between those two points;

[tex]\int\limits^0_\frac{1.516}{} {y^{4} + y^{2} - 5y} \, dy[/tex]

Integrating this, we have;

[tex]\left[\begin{array}{ccc}y^{4} +y^{2} - 5y\\\\\end{array}\right]^{0}_{1.516}[/tex]

Plugging in the relevant values and subtracting gives;

Area = 2.98276 ≈ 2.983

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Answer:

1

Step-by-step explanation:

So,6 to the power of 0 is 0.So the leftover is just one.

Answer:

C

Step-by-step explanation:

x<-2 is an open circle the point to the left. Pointing to the left is less than and an open circle represents the fact that -2 itself does not count.

x≥2 is a closed circle where the arrow points to the right. The closed circle represents the fact that 2 does count. It goes right so it is greater than.

Answer:

90

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

total size of sandwich= L = 4ft

one serving = 1/3 of sandwich

So,

total no. of servings= 4/0.333 =12

Step-by-step explanation:

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

Answer:

x = 0.19 or x = -0.76

Step-by-step explanation:

Equation: 7²-4x = 2

reordering the equation,

7x²-4x-2 = 0

Applying,

x = [-b±√(b²-4ac)]/2a..................... Equation 1

From the question,

Given: a = 7, b = -4, c = -2

Substitute these values into equation 1

x = [-4±√(-4²-(2×7×-2)]/(2×7)

x = [-4±√(16+28)]/14

x = (-4±√44)/14

Either

x = (-4+√44)/14

x = (-4+6.63)/14

x = 2.63/14

x = 0.19

or

x = (-4-√44)/14

x = (-4-6.63)/14

x = -10.63/14

x = -0.76

Answer:

That is correct.

Step-by-step explanation:

x - y = 6

2 - (- 4) = 6

2 + 4 = 6

Answer:

Step-by-step explanation:

3  3

3  1

3  2

3  4

3  5

3  6

1   3

2  3

4  3

5  3

6  3

B

The number of favorable outcomes is 11 The probability of getting one of those outcomes is 11/36 . So the fraction you want is 11/36

C. In 100 throws, the outcome should be about 11/36 * 100 or about 31. That is too close to call. I'm going to try it with a million times and see what happens.

If I run this question a million times, I get 0.305 something. 100 is too small a sample to tell. I would expect it to be less than 34 times. If you run the simulation a million times, you get an answer that is very accurate to 3 places.

Even with a hundred times, you are going to get 34 or more very infrequently.

Answer: y=7

Step-by-step explanation:

Answer:

12.66

Step-by-step explanation: 38 divided by 3

Equals That.

Answer:

[tex]x=60^o[/tex]

[tex]y=50^o[/tex]

Step-by-step explanation:

ΔACD

[tex]50+70+x=180[/tex]

[tex]120+x=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

ΔABC

[tex]60+50+ACB=180[/tex]

110+ ∠ACB=180

∠ACB=180-110

= 70°

Now...

x+y+∠ACB=180°

[tex]60+y+70=180[/tex]

[tex]y+130=180[/tex]

[tex]y=180-130[/tex]

[tex]=50^o[/tex]

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

hope it helps...

have a great day!!

Answer:

x = 60, y = 110

Step-by-step explanation:

the interior angles of a triangle will always add up to 180.

take the angles we already have and add them, once you get your answer you have to subtract that by 180 to find the missing angle.

70 + 50 = 120

180 - 120 = 60

———————-

the line at the bottom is called a straight angle, and it’s measure is 180

the exterior angle is equal to the sum of the two opposite interior angles (50 and 60)

y = a + b

y = 50 + 60

110 = 50 + 60

hope this helped!

Answer:

hey:)

12:15-8:15=4hr

17:30-13:00=4:30hr

4+4:30=8:30hr

$11/hr therefore:

8:30×11= 8.5×11=93.5

and now round it to the nearest hundredth:) I hope this was helpful

Answer:

10x-1y

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1539.4 rounded

Step-by-step explanation:

Have a great day

Answer:

0.227 = 22.7% probability that the mean printing speed of the sample is greater than 18.12 ppm.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 17.42 ppm and a standard deviation of 3.25 ppm.

This means that [tex]\mu = 17.42, \sigma = 3.25[/tex]

Sample of 12:

This means that [tex]n = 12, s = \frac{3.25}{\sqrt{12}}[/tex]

Find the probability that the mean printing speed of the sample is greater than 18.12 ppm.

This is 1 subtracted by the p-value of Z when X = 18.12.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{18.12 - 17.42}{\frac{3.25}{\sqrt{12}}}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a pvalue of 0.773.

1 - 0.773 = 0.227

0.227 = 22.7% probability that the mean printing speed of the sample is greater than 18.12 ppm.

Answer:

6x^2-17x-14

Step-by-step explanation:

See the steps below:)

Answer:

Elevation of the giant spider = -800 feetThat means depth of a giant spider below the surface of ocean = 800 feetElevation of the Atlantic wolfish = -300 feetIt shows depth of the Atlantic wolfish below the surface of the ocean = 300 feetNegative notation shows the distances below the surface of the ocean.Therefore, (Giant spider crab) tend to be farther from the surface of the ocean than (Atlantic wolfish.)

Step-by-step explanation:

Answer:

Simple use tangent, which is equal to opposite divided by adjacent, so tan34=x/16, so multiply both sides by 16 to get x=10.79213627

Step-by-step explanation:

Answer:

P(6) is 1/12, P(Shaded) is 8/12, P(Odd or Unshaded) is 10/12, and P(Even and Shaded) is 11/12

Step-by-step explanation: