The following polar equation describes a circle in rectangular coordinates: r=10cosθ \Locate its center on the xy-plane, and find the circle's radius.
(x0,y0)=
R=
Note: You can earn partial credit on this problem.

To find the probability that the diameter of a randomly selected pencil will be less than 0.285 inches, we can use the normal distribution.

Given:

Mean (μ) = 0.30 inches

Standard Deviation (σ) = 0.01 inches

We want to find P(X < 0.285), where X represents the diameter of the pencil. To calculate this probability, we need to convert the value 0.285 into a z-score using the formula:

z = (X - μ) / σ

Substituting the given values:

z = (0.285 - 0.30) / 0.01 = -0.015 / 0.01 = -1.5

Using a standard normal distribution table or calculator, we can find the corresponding probability for a z-score of -1.5. The probability can be found as P(Z < -1.5). The table or calculator will give us the probability for P(Z ≤ -1.5). To find P(Z < -1.5), we subtract this value from 1. The probability P(Z < -1.5) is approximately 0.0668. Therefore, the probability that the diameter of a randomly selected pencil will be less than 0.285 inches is approximately 0.0668.

Learn more about  z-score here:

https://brainly.com/question/31871890

#SPJ11

Answer:

6:A

7;B

8;c

9;A

10:c

11;b

12:A

Answer:

6. Commander David Scott

7. They dropped at the same speed

8. Scale (I think)

9. B

10. True

11. Gravity (not sure)

12. C

17. Weaker

18. Ellipsoid (also not sure)

19. Towards the Earth’s center

20. I don’t know this

21. Center

22. B

Step-by-step explanation:

Not sure about some of them (like 19 because it feels like it can have more than one answer) but yeah the others are self-explanatory

Angle L can be calculated as follows:

angle L = angle - 180 LMO stands for angle. MNO \sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

1. We know that sides AB and CD of trapezoid ABCD are parallel. We can use the tangent function to find the length of side AD because angle B is a right angle and angle ABD is 45 degrees:

AD/AB = tan(45)

AD=AB * tan(45) AD=AB

As a result, AD = 10.

2. We know that the sides PQ and RS of the trapezoid PQRS are parallel. We can use the sine function to find the length of side PS because angle Q is a right angle and angle PSQ is 60 degrees:

PS/QS sin(60) =

PS = sin * QS (60)

5 * sqrt = PS (3)

As a result, PS = 5*sqrt (3).

3. We know that the sides UV and WX of a trapezoid UVWX are parallel. We can use the cosine function to find the length of side WU because angle V is a right angle and angle WVU is 30 degrees:

WU/UV cos(30) =

UV * cos WU (30)

5 * sqrt(3) / 2 = WU

As a result, WU = (5/2)*sqrt (3).

4. We know that the sides LM and NO of the trapezoid LMNO are parallel. We can use the sine function to find the length of side MO because angle L is a right angle and angle MNO is 30 degrees:

MO/NO sin(30) =

MO = 4 / 2 MO = NO * sin(30)

As a result, MO = 2.

Because angles MNO and LMO add up to 180 degrees, we can calculate angle LMO as follows:

LMO angle = 180 - angle LMO MNO angle = 150 degrees

Finally, because angle N is a right angle, we can calculate angle L as follows:

angle L = angle - 180 LMO stands for angle. MNO\sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

To know more about Length visit:

https://brainly.com/question/30100801

#SPJ1

Answer:

1251

Step-by-step explanation:

I used a calculator: -89 - 97= -186 - 145= -331 - 111= -442 + 245= -197 + 97= -100 + 1351= 1251

In case anyone is confused, adding a negative is the same as subtracting... for example: 10 + (-1) =9 and 10 - 1 =9

Given:

One friend heads north 20 miles per hour.

Other heads East 50 miles per hour.

let r be the number of hours traveled.

After t hours the distance traveled by the first friend is

Substitute speed=20 and time =t, we get

After t hours the distance traveled by the second friend is

Substitute speed=50 and time =t, we get

Using the Pythagoras theorem to find the distance between two friends.

Distance between two friends is

Taking square root on both sides, we get

Hence the required distance is

Answer:

90 minutes(1hour 30 minutes)

Step-by-step explanation:

If 1 room=15 minutes

Then 6 rooms= ?

=6×15/1

=90 minutes

=1hour 30 minutes

c=-9-8c

+8c

9c=-9

c=-1

Hope this helps:D!!

The letter C is equal to negative one.

c = -1

Hope this helps!

Answer:

The answer is 100ft2 I think

Answer:

The first answer is M. -10x - 1 + 35x - 1 + 15x + 1

maybe

Answer:

it will give you a haft of a ornge worth of juice

Step-by-step explanation:

Answer:

There are 4 to 5 tablespoons or 1/4 to 1/3 cups of juice in one orange. To make one cup of fresh orange juice, you need three oranges. It's important to note this amount is for common oranges. Different varieties of orange, such as Valencia, navel, mandarin, or blood oranges will produce different quantities of juice

Step-by-step explanation:

By trigonometric functions, the length of the missing side is equal to 12.072.

In this case we find the case of a geometric system formed by 11 right triangles, whose missing side shall be found by means of trigonometric functions, that is, relationships between two sides of a right triangle. For this question we need the following relationships:

sin θ = y / r

cos θ = x / r

tan θ = y / x

Where:

Step 1

x = 8 / cos 34° - 2.5

x = 7.150

Step 2

x = (7.150 + 3.6) · cos 11°

x = 10.552

Step 3

x = √[(10.552 - 2.1 + 2.9)² - 3.8²]

x = 10.697

Step 4

x = (10.697 - 3.2) · tan 42°

x = 6.750

Step 5

y = 6.750 / sin 37°

y = 11.216

Step 6

x = (11.216 + 4.3) · sin 53°

x = 12.392

Step 7

x = √[(12.392 - 2.2)² + 1.7²]

x = 10.333

Step 8

x = 10.333 / cos 21°

x = 11.068

Step 9

x = (11.068 + 1.7) · sin 71°

x = 12.072

To learn more on trigonometric functions: https://brainly.com/question/30954499

#SPJ1

Answer:

Step-by-step explanation:

Assuming A, B, and C are collinear and B is beetween A and C

AB + BC  = AC

48 + 2x + 139 = x + 165

  2x + 187 = x + 165

    x = -22

Answer:

A

Step-by-step explanation:

Answer:

6 rides: 2.50r+24 39

Step-by-step explanation:

6 rides: 2.50r+424 39

Answer:

polynomial of degree 3

Step-by-step explanation:

Given

3x³ - 6x

The degree of a polynomial is given by the exponent of the term with the largest exponent.

In this case 3x³ has exponent 3 and - 6x has exponent 1

Thus this is a polynomial of degree 3

The equation that represents the sentence "one-half the sum of a number and four is three less than the quotient of five and the number" is 1/2n + 4 = 5/n - 3 (option d).

Let's break down the sentence to understand the equation.

"One-half the sum of a number and four" can be represented as 1/2(n + 4). Here, n represents the number.

"Is three less than the quotient of five and the number" can be represented as 5/n - 3.

Combining the two parts, we have:

1/2(n + 4) = 5/n - 3.

This equation states that half the sum of a number and four is equal to three less than the quotient of five and the number.

Option d) 1/2n + 4 = 5/n - 3 correctly represents this relationship. It accounts for the division of 5 by n and subtracts 3, while also adding the number n to 4 and dividing the sum by 2.

To know more about equation:

https://brainly.com/question/29657983

#SPJ4

The complete question is:

which equation represents this sentence? one-half the sum of a number and four is three less than the quotient of five and the number.

a.) 1/2n 4=3−5/n

b.) 1/2(n 4)=5/n−3

c.) 1/2(n 4)=3−5/n

d.) 1/2n 4=5/n−3

Answer:

15

Step-by-step explanation:

The rate of change of f(x, y) = 3xy y2 at the point (1, 3) in the direction v = 2 i − j is (9/√5 i^ + 9/√5 j^).

The rate of change of any function is given by its gradient.

i.e.

∇f(x,y) = df(x,y)/dx i^ +df(x,y)/dy j^ +df(x,y)/dz k^

Here,

f(x,y) is given as 3xy + y²

so,

∇f(x,y) = d{3xy + y²}/dx i^ +d{3xy + y²}/dy j^ +d{3xy + y²}/dz k^

Since, the function has no z components, the k^ component will be 0.

∇f(x,y) = 3y i^ + (3x + 2y) j^

putting the given points, i.e. (1,3) we get,

∇f(x,y) = 9 i^ + 9 j^

Now for calculating the slope in the given direction

we have to divide the magnitude of the direction that is,

∇f(x,y) = (9 i^ + 9 j^)/√(2²+(-1)²)

∇f(x,y) = (9/√5 i^ + 9/√5 j^)

Learn more about the rate of change on

https://brainly.com/question/29518179?referrer=searchResults

#SPJ4

Answer:

the anwser is 45

Step-by-step explanation:

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

Learn.more about consumption

https://brainly.com/question/30623688

#SPJ4

When the consumption schedule lies below the 45-degree reference line, saving what does it means?

m = 60 and n = 24

. . . .

. . . .

. . . .

The solid substance that settles down is called sediment. This entire process is known as sedimentation. The clear water (supernatant liquid) is then poured out carefully into another beaker, leaving the sediments undisturbed. This process is known as decantation.

Answer:

<32 - </3 5810-24

Step-by-step explanation:

32

The given statement, The (S,S) model has a fixed period between part ordering is True.

The (S,S) model is an inventory control method developed by Haan and Van Harten in 1985, that uses a core algorithm with two basic parameters, S and S, to automate the process of ordering new parts or products. The S parameter determines the order size, while the S parameter determines the time between order placements, and both are set directly by the planner.

The cycle of ordering and delivery remains relatively fixed, meaning that the time between new orders will remain constant once the parameters are set. As a result, the (S,S) model is highly suitable for inventory control within both production and retail environments, as the number and type of items can be effectively managed when the cycle is regularly repeated.

know more about inventory here

https://brainly.com/question/31827018#

#SPJ11

Step 1. Multiply

Step 2. Subtract

Step 3. Add

Step 4. Divide

The conclusion that can be drawn from Jimmy's income with the change in insurance is that Jimmy's net income would decrease.

When expenses rise, net income will decrease. Net income is calculated by subtracting expenses from gross income, so if expenses increase, the amount of net income will decrease.

This means that with the increase in insurance by $ 50, Jimmy can expect that his net income would decrease by a total amount of $ 50 which is the amount the insurance increased by.

Find out more on insurance expenses at https://brainly.com/question/23282485

#SPJ1

Answer:    

29 feet in lenght, 5 feet in width and 12 feet in height

Step-by-step explanation:

that shou

ld be your answer

Answer:

10

Step-by-step explanation:

5 (2) is the same as 5 × 2 which equals 10

Answer:

Step-by-step explanation:

Given here,

(5)2

= 5 × 2.

= 10 (Ans)

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

Click the below link, to learn more about  solutions of the inequality :

https://brainly.com/question/22010462

#SPJ11