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2 years ago

2 + 2= ? Just answer this if ur bored

Mathematics

1 answer:

Galina-37 [17]2 years ago

5 0

Answer:

Step-by-step explanation:

break the first 2 into its components, 1 and 1 because 1 + 1 = 2.
Break the second 2 into its components, 1 and 1 because 1 + 1 = 2.

Combine all the components. Since they're all ones, you just have to count your fingers 4 times!
1 + 1 = 2. 2 + 1 = 3. 3 + 1 = 4!
1 + 1 + 1 + 1 = 4!

4 is the correct answer.

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Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0

3 years ago

A square has a perimeter of 28 feet what is its area

Westkost [7]

Given:
square shape
Perimeter 28 feet
Find its area

A square has 4 equal sides, so perimeter is 4a

Perimeter = 4a
28 ft = 4 a
28 ft / 4 = a
7 = a

One side of the the square is 7 ft.

Area of a square is the measure of one side raised to the power of 2.

A = a²
A = (7 ft)²
A = 49 ft²

7 0

3 years ago

Read 2 more answers

Darren wins a coupon for $4 off the lunch special for each of five days he pays $75 for his 5 lunch specials write and solve an

Valentin [98]

The original price for one lunch special is $19.

Explanation

The original price for one lunch special is 'p' dollar.

He wins a coupon for $4 off for each of five days. That means , he needs to pay $(p-4)$ dollar each day.

So, the total amount needed to pay for 5 days $= 5(p-4)$ dollar

Given that, he pays $75 for his 5 lunch specials. So the equation will be.....

$5(p-4)= 75\\ \\ 5p-20=75\\ \\ 5p= 75+20\\ \\ 5p= 95\\ \\ p=\frac{95}{5}=19$

So, the original price for one lunch special is $19.

8 0

3 years ago

A recommendation for wheelchair ramps is that the rise-to-run ratio be no greater than 1:12. This ensures that the ramps are nav

patriot [66]

Answer:

a. 12 feet b. 12 feet 0.5 inches c. 8.33 %

Step-by-step explanation:

a. How far out horizontally on the ground will it protrude from the building?

Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.

So, by ratios rise/run = 1/12 = 12/x

1/12 = 12/x

x = 12 × 12

x = 144 inches

Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet

b. How long should the ramp be?

The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.

So, L = √(12² + 144²)

= √[12² + (12² × 12²)]

= 12√(1 + 144)

= 12√145

= 12 × 12.042

= 144.5 inches

Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches

c. What percent grade is the ramp?

The percentage grade of the ramp = rise/run × 100 %

= 12 inches/144 inches × 100 %

= 1/12 × 100 %

= 0.0833 × 100 %

= 8.33 %

6 0

2 years ago

Write the decimal number in words 235.678

ValentinkaMS [17]

Two hundred thirty-five and six hundred seventy-eight thousandths

3 0

3 years ago

Read 2 more answers