What is the approximate area, in square units, of the circle shown below?

Answer:

5x^2 + 7x

option C is your answer

Answer:

x = 9.4868

Step-by-step explanation:

For this problem we can use the Pythagorean Theorem

Pythagorean theorem = [tex]a^2+b^2=c^2[/tex]

IN THIS CASE C = X

A and B are the side and base lengths of a right triangle.

C is the Hypotenuse side.

[tex]9^2+3^2=c^2[/tex]

Solve...

81 + 9 = [tex]c^2[/tex]

90 =[tex]c^2[/tex]

[tex]\sqrt{90}[/tex] = c

c = 9.4868

Answer:

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

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.

Suppose the mean fill for the shipment is actually 50 gallons. Standard deviation of 0.6 gallons.

This means that [tex]\mu = 50, \sigma = 0.6[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]

What is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons?

This is the pvalue of Z when X = 50.12 subtracted by the pvalue of Z when X = 49.88. So

X = 50.12

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

By the Central Limit Theorem

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

[tex]Z = \frac{50.12 - 50}{0.06}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 49.88

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

[tex]Z = \frac{49.88 - 50}{0.06}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Answer:

3. m<4=101°

4. sum of angle on a straight line

5. m<8= 101°

6.m<3=180-101°

=79°

7.sum =180°

8. alternate angles

9. and m<8

10. 180°

Answer:

3.

m<1=79°

m<4=180-79°=101°(linear pair)

4.

<7+<8=180°(straight line)

5.

m<6=101

m<8=101°[vertically opposite angle]

6.

m<3=180-101=79°

7.

180°

8.

alternate angle

9.

and <8

10.

180°

Answer:

0.877 but rounded it will be 0.88

Hi there!

[tex]\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}[/tex]

[tex]\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}[/tex]

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

Answer:

im pretty sure its D :) hope this helps you out.

Answer:

Below :)

Step-by-step explanation:

The difference of the means would be:

90 - 50 = 40

When finding difference you need to use subtraction.

The difference is 40

The MAD score is 10

"This difference is 4 times the value of the MAD of each data set."

Answer:

Step-by-step explanation:

hello :

use identity : a²-b²=(a-b)(a+b)

(2x+1) (2x-1)= (2x)²-1 =4x²-1

Answer:

75%

Step-by-step explanation:

The computation of the percent of the professional professors there are tenured is shown below;

Given that

academic professors A = 60%

professors  tenured P = 70%

professors at Paracelsus University = 90%

Based on the above information

As we know that 90% of the professors could be academic professors or tenured or both

so  here we can say that the percent of academic professors  is

= 60 + 70 - 90

= 40

Therefore professors  tenured will be

= 70 - 40

= 30

Now the percentage of professional professor that is tenured is

= 30 ÷ 40 × 100

= 75%

As a decimal- 5.4

As an exact form- 24/5

As a Mixed number- 5 2/5

Hope this helped :T

Answer:

4/3 x 5/8 is correct

Step-by-step explanation:

Answer: C 7/10 * 5/8

Step-by-step explanation:

4/3 * 5/8 = 20 / 24 = 5 / 6

3/2 * 5/8 = 15 / 16

7/10 * 5/8 = 35/80 = 7 / 16

9/7 * 5/8 = 45 / 56

5/8  = 10/16

7/16 < 10/16

7/16 < 5/8

Answer:

24j + 24

Step-by-step explanation:

6(3j + 4 +j)

6(4j + 4)

24j + 24

Answer:

9 units is the answer.

Step-by-step explanation:

points are (-10,-4) and (-10,5)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-10-(-10))^2 + (5-(-4))^2}\\\\d=\sqrt{(0)^2+(9)^2} \\\\d=\sqrt{81} \\\\d=9[/tex]

∴ d = 9 units

Answer:

[tex]Interval = (-2,1.5)[/tex]

[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Increasing interval

To do this, we simply identify the interval at which the value of the graph increases.

The value has an increased interval between -2 and 1.5 (of the x-axis).

Hence, the increasing interval is:

[tex]Interval = (-2,1.5)[/tex]

Solving (b): Decreasing interval

To do this, we simply identify the interval at which the value of the graph decreases.

The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).

Hence, the decreasing interval is:

[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]

Answer:

The correct answer is B.

Step-by-step explanation:

V=whl=1.5·2·5=15

Answer:

B. 15 ft.3

Step-by-step explanation:

multiply all the measurements to find the volume :)

Answer:

10

Step-by-step explanation:

Step-by-step explanation:

If 5 was the radius, do 3.14 (5)^2 same thing as= 3.14 times 25

Which equals 78.5 (I rounded it also)

Let me know if it was correct!

Answer:

The circumference is 45.2yd

Step-by-step explanation:

Given

[tex]d = 14.4[/tex] --- diameter

Required

Determine the circumference

The circumference is calculated as:

[tex]C =\pi d[/tex]

So, we have:

[tex]C =\pi * 14.4[/tex]

Take pi a 3.14

[tex]C =3.14 * 14.4[/tex]

[tex]C =45.216[/tex]

Approximate

[tex]C =45.2yd[/tex]

Answer:

angle O is equal to 41°

I hope it's helps you

Answer:

pH = 6.1

Step-by-step explanation:

pH = -log[H]

pH = -log[8.1 x 10^-7]

pH ≈ 6.09

Therefore, option a, 6.1, is closest to this value and is the correct answer.

Dilation involves changing the size of a figure

The endpoints of the image are (-2,-1) and (6,1)

The coordinates of the pre-image are give as:

(2,2) and (6,2)

The scale factor is given as:

k = 2

The center of dilation is given as:

(a,b) = (6,5)

The coordinates of the image are then calculated as:

[tex](x,y) \to (k(x -a) + a, k(y -b) + b)[/tex]

For (2,2), we have:

[tex](x,y) \to (2(2 -6) + 6, 2(2 - 5) + 5)[/tex]

[tex](x,y) \to (-2, -1)[/tex]

For (6,2), we have:

[tex](x,y) \to (2(6 -6) + 6, 2(2 - 5) + 5)[/tex]

[tex](x,y) \to (6, -1)[/tex]

Hence, the endpoints of the image are (-2,-1) and (6,1)

Read more about dilation at:

https://brainly.com/question/3457976

Step-by-step explanation:

B two quadratic by addition

C a linear and quadratic by addition

D two linear by multiplication

Answer:

6.3

Step-by-step explanation:

99(.07)=6.3

original price was 92.7 + 6.3 gives you 99

Answer:

the first one

the first one Step-by-step explanation:

the first one Step-by-step explanation:from the formula Un =ar^n-1

where a is 2

where a is 2 r = 20/2=10

where a is 2 r = 20/2=10 so Un= 10×2^n-1

that's all.....have fun

Answer:

C.)  an =1/5 * 10n-1

Step-by-step explanation:

D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.

Leaveing your answer...

Answer:

the answer is 3

Step-by-step explanation:

Answer:

No  If it would be 10 percent of the total would be the price tag without tax

Step-by-step explanation: