Is 3.42 repeating irrational or rational

Answer:

(a)

[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]

(b)

[tex]P(A) = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

The above sample space

A = Event of an occurrence of 3 or 4 then a head

(a): List out the sample space:

The rolls of the dice come first, followed by the toss of the coin.

So, the sample space are:

[tex]S = \{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}[/tex]

The number of the sample space is:

[tex]n(S) = 12[/tex]

(b): Find P(A)

First, we list out the outcomes of event A

[tex]A = \{(3,H),(4,H)\}[/tex]

The number of outcome is:

[tex]n(A) = 2[/tex]

The probability of A is then calculated as:

[tex]P(A) = \frac{n(A)}{n(S)}[/tex]

[tex]P(A) = \frac{2}{12}[/tex]

Simplify fraction

[tex]P(A) = \frac{1}{6}[/tex]

Answer:

260.55682 mL

Step-by-step explanation:

Given :

(1 lb =454 g, 1 L= 1.0567 qt, 4 cups=1 qt, 1 L=1000 mL)

1 pounds of coffee beans = 50 cups of coffee

Number of mL of coffee that can be obtainwd from 10 g of coffee beans

1 pound = 454g

10 * 50 cups = 500 cups / 454 = 1.1013215 cups

1.1013215 / 4 = 0.2753303 qt

0.2753303 qt / 1.0567 qt = 0.2605568 L

0.2605568 L * 1000 = 260.55682 mL

Answer:

[tex]\displaystyle \sin(\theta)= \frac{\sqrt{17}}{17}[/tex]

[tex]\displaystyle \cos(\theta)= \frac{4 \sqrt {17} }{ 17 }[/tex]

Step-by-step explanation:

We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.

First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.

Recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

[tex]h=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}[/tex]

So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.

Then it follows that:

[tex]\displaystyle \sin(\theta)=\frac{1}{\sqrt{17}} = \frac{\sqrt{17}}{17}[/tex]

And that:

[tex]\displaystyle \cos(\theta)= \frac{4}{\sqrt{17}} = \frac{4 \sqrt {17} }{ 17 }[/tex]

Answer:

20

Step-by-step explanation:

if you add 20 to 20 you get a sum of 40

if you subtract 20 from 40 you get a difference of 40

Answer:

30 & 10

Step-by-step explanation:

Let be two numbers be A and B

A+B=40

A−B=20

Add two equations

We get

A+B+A−B=40+20

2A=60

A=30

as we know A put  this in one of the equation

30+B=40

B=10

A=30 and B=10

Answer:

True

Step-by-step explanation:

Answer:

w= -1

Step-by-step explanation:

Use PEMDAS to solve.

9(1 + w) - 5w = 5

distribute 9 to everything inside the parentheses.

9 x 1 = 9

9 x w = 9w

rewrite equation

9 + 9w - 5w = 5

combine like terms

9w - 5w = 4w

rewrite equation

9 + 4w = 5

subtract 9 from both sides

9 - 9 = 0

5 - 9 = -4

rewrite equation

4w = -4

divide by 4 on both sides to get w by itself.

4w / 4 = w

-4 / 4 = -1

Hope This Helps :)

Answer: Yogi has 59 chairs.

Step-by-step explanation: For the question, it's a lot of guess an check. 10 is a good place to start. Times 10 by 8 and add 3. Then times 6 by 10 and add 17. Does it equal the same number? No. Is it close? Yes. So maybe try going up a few numbers or down a few. You'll eventually get 7 which when you multiple 7 by 8 and add 3 and multiple 6 by 10 and add 17, you'll get 59.

Answer:

Angle 1

Step-by-step explanation:

Supplementary = Two angles that has a sum of 180 degrees

Angle 1 + Angle 2 = 180 degrees

Answer:

8x² - 14x - 15

Step-by-step explanation:

(4x + 3)(2x - 5)

8x² - 20x + 6x - 15

8x² - 14x - 15

Answer:

Step-by-step explanation:

Use FOIL, first outside inside last.

4x*2x - 5*4x + 3*2x - 3*5

[tex]8x^2-20x+6x-15\\8x^2-14x-15\\[/tex]

Answer:

x=8

Step-by-step explanation:

Answer:

=19x−8 is your answer

Step-by-step explanation:

=7x−11+−1(−12x−3)

=7x+−11+−1(−12x)+(−1)(−3)

=7x+−11+12x+3

Combine Like Terms:

=7x+−11+12x+3

=(7x+12x)+(−11+3)

=19x+−8

Answer:

19x-8

Step-by-step explanation:

7x plus -12x is 19x. you then subtract 11 from 3 and you get 8

Answer:

8 ounces

Step-by-step explanation:

Since there was 1 pint left, that means the mug had 1/2 pints of coffee.

Now, convert this to ounces. There are 16 ounces in a pint, so we can find how many ounces there were by multiplying 16 by 1/2

16(1/2)

= 8

So, there were 8 ounces of coffee in the mug

Answer:

3x^2+2x-8 is the answer

Answer:

90°

Step-by-step explanation:

Answer:

Obtuse angle

Step-by-step explanation:

Answer:

Its an obtuse angle pliz mark brainliest

Answer:

pluto, rhea, theres more but theres a lot but we call them planetoids

Step-by-step explanation:

Answe:

Haumea, Pluto, and Makemake

Step-by-step explanation:

i think

Answer:

The point will have both a positive x value and a positive y value.

Step-by-step explanation:

Since the question leads me to believe this is multiple choice but there are no choices provided, I will do my best to guess what it is wanting.

Answer:

it is 0.07157894737 I am sure

Answer:

The​ 90% confidence interval is ($105.55,$111.45)

The 95% confidence interval is ($104.98,$112.02)

The 95% confidence interval is wider.

C. You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​interval, and​ 95% confident for the​ 95% interval.

Step-by-step explanation:

90% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{11.36}{\sqrt{40}} = 2.95[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 108.50 - 2.95 = $105.55

The upper end of the interval is the sample mean added to M. So it is 108.50 + 2.95 = $111.45

The​ 90% confidence interval is ($105.55,$111.45)

95% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{11.36}{\sqrt{40}} = 3.52[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 108.50 - 3.52 = $104.98

The upper end of the interval is the sample mean added to M. So it is 108.50 + 3.52 = $112.02

The 95% confidence interval is ($104.98,$112.02)

Which interval is​ wider?

The 95% confidence interval has a larger margin of error, so it is wider.

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

So the correct interpretation is:

C. You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​interval, and​ 95% confident for the​ 95% interval.

Answer:

420^69

Step-by-step explanation:

Blazen it

Answer:

-95.1428571429

Step-by-step explanation:

Answer:

Its false

Step-by-step explanation:

It cant increase

Answer:

it issss false

Answer:

962891995

Step-by-step explanation:

Answer:

962,892,713

Step-by-step explanation:

1. 303 x 303 x 23 x 456 - 7

2. 91809 x 23 x 456 -79

3. 2111607 x 456 - 79

4. 962892792 - 79

5. 962,892,713

Hope that helps

Answer:

Alr what do you need help with