A circle with a circumference of 6 has an arc with 20 central angle

Using the normal distribution and the central limit theorem, it is found that his risk is of 0.0456.

In a normal distribution 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]

In this problem:

The risk is the probability of being more than 2 ounces from the mean, hence:

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

Applying the Central Limit Theorem

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

[tex]Z = \frac{2}{1}[/tex]

[tex]Z = 2[/tex]

The risk is P(|Z| > 2), which is 2 multiplied by the p-value of Z = -2.

0.0228 x 2 = 0.0456

The risk is of 0.0456.

For more on the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

The maximum dimension of the shelf is given by the space diagonal

length of the shelf.

A possible reason why the shelf hits the ceiling is because the ceiling is

less than or equal to 9 feet from the ground.

Reasons:

The maximum height of the shelf is given as follows;

The diagonal of one of the side = √(8² + 4²)

The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9

The maximum extension of the shelve = 9 feet

Given that the shelf touches the ceiling, we have, that maximum height of

the ceiling = 9 feet.

Therefore, the shelf touches the ceiling because, height from the floor to

the ceiling is lesser than equal to 9 feet.

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https://brainly.com/question/9702103

Answer:

1 1/3

Step-by-step explanation:

it's bc the number is closer to one and not in the middle. have a great day

Answer:

The arrow is pointing to 1 1/3. From 1 to 2, there are 3 marks. These three marks are each 1/3. So, from 1 the next mark will be 1 1/3.

:)

Hello,

Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.

And then Khamis should have divided -5b by -5b.

Good Luck

The true option is: (d) Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?

The inequality is given as:

[tex]\mathbf{135 \le 10r + 15}[/tex]

Rewrite as:

[tex]\mathbf{10r + 15\ge 135 }[/tex]

From the options, we can see that the inequality represents songs in a music player.

Linear inequalities can be represented as:

[tex]\mathbf{mx + b \ge y}[/tex]

Where:

m represents the rate i.e. 10

b represents the y-intercept or base i.e. 15

>= represents at least

So, the inequality can be interpreted as:

Hence, the true option is (d)

Read more about linear inequalities at:

https://brainly.com/question/11897796

Answer:

18/10

Step-by-step explanation:

got it right.

Answer:

E BC itsay 3a 5b = 3.5 so it E

Answer:

A is answer

Step-by-step explanation:

Answer:

yes as if two opposite sides of a four sided quadrilateral turns up to be symmetry or same then it is a rectangle not a square as a square has four lines of symmetry

Answer:

A) Variable "x" is less than it equal to 1 because your domain can’t have [h(x)] because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the variable "x" coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain

Hope this helps!

Answer:

1,238.000

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.

Answer:

6hm-8h^2

Step-by-step explanation:

2h(3m-4h)

2h*3m=6hm

2h*4h=8h^2

=6hm-8h^2

Answer:

A

Step-by-step explanation:

did the quiz

Answer:

D

Step-by-step explanation:

The y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)

Given the polynomial function 4x^3-3x^2+7, the y-intercept of the function occurs where the value of x is zero

Substituting x = 0 into the polynomial function will give;

y = 4x^3-3x^2+7

y = 4(0)^3-3(0)^2+7

y = 0 - 0 + 7

y = 7

Hence the y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)

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Answer:

2 and 4 are correct

Step-by-step explanation:

Hope this helps!❄︎

Answer:

|x|=6 we have x1=-6 x2=6

|x|=3.2 we have x1=-3.2 x2=3.2

|x|=0 x=0

Answer:

1:2

Step-by-step explanation:

1:2 would be a equivilant

also most simplified

Answer:

1 :2

Step-by-step explanation:

Answer:

slope= 1/4

Step-by-step explanation:

8-5 over 8-(-4)= 3/12=0.25 = 1/4

Answer:

31:18:12

............................

Answer:

ion

Step-by-step explanation:srry

Answer: 3/6 or 1/2

Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.

Answer:

1/2 cups of strawberries is required.

Step-by-step explanation:

1 pie = 1/6 cups of strawberries

=> 3 pies = 1/6 x 3

=> 3 pies = 1/2 cups of strawberries.

Hoped this helped.

Answer:

just do sinx and cos y equal when x=y= multiple of pie by 4

Step-by-step explanation:

pie by 4 plus pie by 4 = 90

If I helped please mark brainliest it means a lot to my progression! <3 Thanks!

A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.

Answer:

The second one is right

Step-by-step explanation:

anyone help, im stuck

Answer:

The third one

Step-by-step explanation:

Since, 1 can be represented by x we can make an equation

2 can be represented y

and 4 can be represented by x

Since x + y = 180 and x + z = 180

y = z

Or 2 = 4

Brainliest please :)

Answer:

34p-16

Step-by-step explanation:

Perimeter of parallelogram

= 2(9p-10)+2(8p+2)

= 18p-20+16p+4

= 34p-16

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

Answer:

y=1x+13

Step-by-step explanation:

we can plug in the two points into the slope-intercept formula

-7=-20(1)+b

solve for the right side

-7=-20+b

add 20 to both sides

13=b

plug the y intercept into the equation

y=1x+13

Answer:

y<x+1

Step-by-step explanation:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1

Answer:

-5

Step-by-step explanation: