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2 years ago

How do the values of the 5s in 581.03 and 5.472 compare

Mathematics

1 answer:

Nonamiya [84]2 years ago

6 0

The value of the 5 in 581.03 is 100 times the value of the 5 in 5.472

Step-by-step explanation:

Each digit in a number has a place value.

The place value of 4 in 453.56 is hundreds (100), because 4 is in the hundred place

The place value of 2 in 1782.56 is ones (1), because 2 is in the unit place

The place value of 3 in 2.345 is tenth (0.1), because 3 is in the tenth place

∵ The number is 581.03

- Find the place of 5 in the number

∵ 5 is in the hundred place

∴ The place value of 5 is 100

∵ The number is 5.472

- Find the place of 5 in the number

∵ 5 is in the unit place

∴ The place value of 5 is 1

To find the value of the 5 in 581.03 is how many times the value of the 5 in 5.472 divide the place values of them

∵ 100 ÷ 1 = 100

∴ The value of 5 in 581.03 = 100 times the value of 5 in 5.472

The value of the 5 in 581.03 is 100 times the value of the 5 in 5.472

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find the value of solid figure not including hole cutout. Round to two decimal places. Cube figure is 12 feet long with 4 ft cut

Artemon [7]

Answer:

1577.20 ft³

Step-by-step explanation:

Cube of length = 12 ft = a

Hole diameter which is cutout = 4 ft = d

Hole radius which is cutout = 4/2 =2 ft = r

Volume of the cube = a³

⇒Volume of the cube = a×a×a

⇒Volume of the cube = 12×12×12

⇒Volume of the cube = 1728 ft³

The hole cut out will be in the shape of a cylinder

Volume of cylinder = πr²h

⇒Volume of cylinder = π×2²×12

⇒Volume of cylinder = 150.79 ft³

Now volume of the solid figure with hole cut out is

Volume of the cube - Volume of cylinder

=1728 - 150.79

=1577.20 ft³

∴ Volume of solid figure not including hole cutout is 1577.20 ft³

5 0

3 years ago

Find the indicated probability. round to three decimal places. a test consists of 10

Charra [1.4K]

To answer this problem, we use the binomial distribution formula for probability:

P (x) = [n! / (n-x)! x!] p^x q^(n-x)

Where,

n = the total number of test questions = 10

<span>x = the total number of test questions to pass = >6</span>

p = probability of success = 0.5

q = probability of failure = 0.5

Given the formula, let us calculate for the probabilities that the student will get at least 6 correct questions by guessing.

P (6) = [10! / (4)! 6!] (0.5)^6 0.5^(4) = 0.205078

P (7) = [10! / (3)! 7!] (0.5)^7 0.5^(3) = 0.117188

P (8) = [10! / (2)! 8!] (0.5)^8 0.5^(2) = 0.043945

P (9) = [10! / (1)! 9!] (0.5)^9 0.5^(1) = 0.009766

P (10) = [10! / (0)! 10!] (0.5)^10 0.5^(0) = 0.000977

Total Probability = 0.376953 = 0.38 = 38%

<span>There is a 38% chance the student will pass.</span>

7 0

3 years ago

Please help me if u give me an answer could u also give me an explanation on why that’s the answer.

Setler79 [48]

So it’s A

in all the other ones we can see that the angles in the same position as x and 75 are all equal

and because the question tells us that they are all structured the same with p and f being parallel we can assume x is equal to what’s congruent to it

there is a rule that states this

cap congruent angle postulate i believe

which states that if two parallel lines are cut by a transversal, then corresponding angles are congruent

7 0

3 years ago

What is the factorization of the polynomial below? x^3 + 8x^2 + 17x + 10

faltersainse [42]

Answer:

This is your answer.

Step-by-step explanation:

Hope is helps!!