Find the slope from two points.

Answer:

Explained below.

Step-by-step explanation:

There are quite a few examples of this but I will go with what is common in physics which is "acceleration due to gravity".

Acceleration due to gravity is positive when an object is falling down in the direction of gravity but negative when it is thrown upwards and acting against gravity motion.

Thus;

g_downwards = 9.8 m/s²

g_upwards = -9.8 m/s²

If acceleration due to gravity is zero, it means that the object is at the centre of the earth because at that point g = 0.

Answer:

A miner digs 100ft underground. Then he went up to the surface and climbed all the way to the top of the mountain. The entrance of the underground cave represents 0.

Step-by-step explanation:

Answer:

a) 0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) 0 is less than 2.5 standard deviations from the mean, so it would not be unusual.

Step-by-step explanation:

For each passenger, there are only two possible outcomes. Either they will have been stopped due to a change in the pocket, or not. Passengers are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A measure is considered unusual if it is more than 2.5 standard deviations of the mean.

25% chance that the cause is change in the passenger's pocket.

This means that [tex]p = 0.25[/tex]

During a given hour, 15 passengers are stopped because of a signal from the metal detector.

This means that [tex]n = 15[/tex]

a) Find the probability that at least 3 passengers will have been stopped due to change in their pockets.

This is

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{15} = 0.0134[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{14} = 0.0668[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{13} = 0.1559[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0134 + 0.0668 + 0.1559 = 0.2361[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.2361 = 0.7639[/tex]

0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) If 15 passengers are stopped by the detector, would it be unusual for none of these to have been stopped due to change in the pocket

First we find the mean and the standard deviation:

[tex]E(X) = np = 15*0.25 = 3.75[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.25*0.75} = 1.68[/tex]

3.75 - 2.5*1.68 = -0.45

0 is less than 2.5 standard deviations from the mean, so it would not be unusual.

Answer:

A. 2⁵ is the answer.

D. 3³ - 3² too.

Step-by-step explanation:

2⁵ = 32

3³ - 3² = 27 - 9 = 18

Step-by-step explanation:

A=32

B=16

C=13

D=18

The answer is B and C because they sre not greater than 17.

Answer: I would say that the hotdogs cost $2 and the burgers cost $4

Step-by-step explanation: By the display of it, it that would be the normal cost of a hotdog and a hamburger

Answer:

180 sq.cm

Step-by-step explanation:

A = 10 x 10 + 16 x 5 x 1/2 x 2

A = 100 + 16 x 5

A = 100 + 80

A = 180 square cm

Hope that helps!

uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...

Answer:

155 Units

Step-by-step explanation:

Rate of Bug (given) = 11 units PER MINUTE

It never changed direction, so it was going in positive direction (assume).

In 7:15 pm (evening), it was at Point 100,

We want the point at which it was at 7:20 pm.

7:20pm - 7:15pm = 5 minutes

So, time passed 5 minutes. It's rate is 11 units PER MINUTE, so in 5 mins:

11 * 5 = 55 units

Assuming he is going in positive direction, the bug will be at:

100 + 55 = 155 Units

Answer:

It will be at the point 155

Step-by-step explanation:

It will be at point 155 If it keeps running at the same pace and in the same direction.

I know this because if it is at point 100 at 7:15 and it goes 11 units per minute then 5 minutes later at 7:20 it would be at point 155

Answer:

-8.45, 0.95, 8.25

Step-by-step explanation:

The easiest way to do this is to convert the fraction to a decimal, and then compare the values.

8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.

Now, let's compare values.

Numbers we need to compare: -8.45, 0.95, 8.25

The smallest number is -8.45, then 0.95, and lastly, 8.25.

Thus the answer is

-8.45, 0.95, 8.25

Answer:

180

Step-by-step explanation:

i had that question

Answer:

260 cm^2

Step-by-step explanation:

Area of parallelogram: bh, so it is 20x13 which is 260cm^2

Answer:

15.736

Step-by-step explanation:

Answer:

$ 100 is saved by paying the total amount at the time of purchase

Step-by-step explanation:

its Originally 800 but You put down 200 leaving it At 600 But 50 time 10 is 500 plus 200 more Because you pay 200 more for the last 4 months So 500 plus 200 is 700 plus the 200 you put down And it would be 900 instead of 800

Answer:

y = 3/4x -2

Step-by-step explanation:

Points on the graph: (4, 1) and (0, -2)

Slope:

m=(y2-y1)/(x2-x1)

m= (-2-1)/0-4)

m=(-3)/(-4)

m = 3/4

Point-slope:

y - y1 = m(x - x1)

y - 1 = 3/4(x - 4)

y - 1 = 3/4x - 3

y = 3/4x -2

Answer:

∠ECF = 37°

Step-by-step explanation:

∠ACG = 37°   because it is a complementary angle to 53° (37° + 53° = 90°)

∠ECF = 37° because it is a vertical angle to 37°

The angle ∠ECF can be determined as 27°by using the angle sum property of triangle.

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

The given problem can be solved by applying angle sum property of the triangle as,

In ΔECF, the sum of angles is given as,

∠ECF + ∠CFE + ∠CEF = 180                    (1)

Since, AB║DE as per the diagram shown.

∠BAC = ∠CEF (Alternate interior angles)

Then, ∠CEF = 53°.

Plug ∠CEF = 53° and ∠CFE = 90° in equation (1) to obtain,

∠ECF = 180 - (53 + 90)

⇒ ∠ECF = 27°

Hence, the measure of the angle ∠ECF is obtained as 27°.

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Answer:

$756.00

Step-by-step explanation:

6.30 x 2 = 12.60/hour

12.60 x 60 = $756.00

Answer:

A, E, G

Step-by-step explanation:

Answer:

A

E

G

Step-by-step explanation:

When you divide A, E, and G with the common factor, they all equal 5 : 9

Answer:

yes, 29 is a monomial

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

1/2 times 2³=4

+7=11

Answer:

4x-3y=-10 ans C

2x+3y=4

Step-by-step explanation:

4x-3y=-10--------eqn 1

2x+3y=4----------eqn 2

multiply eqn 1 by 2 and eqn 2 by 4

8x-6y=-20

8x+12y=16

subtract eqn 2 from 1

8x-8x ,12-(-6y)=16-(-20)

18y=36

divide both sides by 18

y=2

substitute y=2 in eqn 1

4x-3(2)=-10

4x-6=-10

4x=-10 + 6

4x= -4

divide both sides by 4

x= -1

Answer:

The perimeter is:

24

Step-by-step explanation:

Perimeter is the outside frame of the area. Add the dimensions together to get your answer. Adding:

7+7= 14

5+5= 10

10+14= 24

:) Hope this helps have a wonderful day!

Answer:

[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Area - Integrals

U-Substitution

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

F: y = √(15 - x)

G: y = √(15 - 3x)

H: y = 0

Step 2: Find Bounds of Integration

Solve each equation for the x-value for our bounds of integration.

F

G

This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.

We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).

Step 3: Find Area of Region

Integration Part 1

Step 4: Identify Variables

Set variables for u-substitution for both integrals.

Integral 1:

u = 15 - x

du = -dx

Integral 2:

z = 15 - 3x

dz = -3dx

Step 5: Find Area of Region

Integration Part 2

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

Answer:. 192

Step-by-step explanation:

6x32=192

192g= .192 kg

Answer:

Step-by-step explanation:

Multiply to find the total weight of all the bars in grams.

Then convert to kilograms.

There are 1,000 grams in a kilogram.

To get the correct answer, first multiply to find the total weight of all the bars in grams.

6 × 32 = 192 g

Then convert to kilograms.

192 g ÷ 1,000 = 0.192 kg

Answer:

9/4

Step-by-step explanation:

Answer:

9/4

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

just trust me i come from DeltaMAth

Answer:

**********************868/14=62********************

Step-by-step explanation:

Answer:

+*~868 ÷ 14 = 62~*+

(Hope this helps! Btw, I answered first. Brainliest please! :D)

Answer:

Step-by-step explanation:

You should add the weights of each kitten and then divide by the number of kittens. Ex. There are 5 kittens weighing 2, 1, 3, 2, and 2. So you would add those to get 10 and divide by the number of kittens which is 5 to get an average of 2.

So in this case you would first add the weight of the kittens

Then divide that by the number of kittens

Then the quotient would be the average of the weight of the kittens in the shelter.

Answer:

B. checking the angle measure of T

Step-by-step explanation:

I used process of elimination, A and C are both incorrect because to draw a line you would have the flat side of the protractor along the edge of the line and this is not shown in the image. D is incorrect because to check the length you would need the have a ruler on the flat side and use that or use a separate ruler.

Option B is correct,  checking the angle measure of angle T is the step is he doing now with his protractor

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events.

Given that Lewis is constructing triangle RST.

A triangle is a three-sided polygon that consists of three edges and three vertices.

drawing a line segment from point R to point S is not correct as we can use straight edge to draw the line.

In the same way  drawing a line from point R through point T is also not correct.

checking the length of side ST can be done by straight edge.

As we observe Lewis is using a protractor which is used to measure the angle.

Hence, checking the angle measure of angle T is the step is he doing now with his protractor

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