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3 years ago

PLZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!

Mathematics

1 answer:

Digiron [165]3 years ago

3 0

The answer is 51 liters.

Since they have a direct relationship, set up a direct proportion.
17/476=x/1428
476x3 is 1428 so
17x3=51

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Name a unit of measurement that is about the same size of the weight or mass of 20 staples.

saul85 [17]

Answer:

Step-by-step explanation:

7 0

2 years ago

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Mr. Lee bought rock to landscape around his house. He paid $190.72 for 8 tons of rock. How much did each ton cost?

frez [133]

Answer:

the correct answer I's 23.84

Step-by-step explanation:

I dividedc190.72 by 8

6 0

3 years ago

A new security system needs to be evaluated in the airport. The probability of a person being a security hazard is 4%. At the ch

ivolga24 [154]

Answer:

(a) 0.9412

(b) 0.9996 ≈ 1

Step-by-step explanation:

Denote the events a follows:

$P$ = a person passes the security system

$H$ = a person is a security hazard

Given:

$P (H) = 0.04,\ P(P^{c}|H^{c})=0.02\ and\ P(P|H)=0.01$

Then,

$P(H^{c})=1-P(H)=1-0.04=0.96\\P(P|H^{c})=1-P(P|H)=1-0.02=0.98\\$

(a)

Compute the probability that a person passes the security system using the total probability rule as follows:

The total probability rule states that: $P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})$

The value of P (P) is:

$P(P)=P(P|H)P(H)+P(P|H^{c})P(H^{c})\\=(0.01\times0.04)+(0.98\times0.96)\\=0.9412$

Thus, the probability that a person passes the security system is 0.9412.

(b)

Compute the probability that a person who passes through the system is without any security problems as follows:

$P(H^{c}|P)=\frac{P(P|H^{c})P(H^{c})}{P(P)} \\=\frac{0.98\times0.96}{0.9412} \\=0.9996\\\approx1$

Thus, the probability that a person who passes through the system is without any security problems is approximately 1.

7 0

2 years ago

What is a and b pls answer ASAP I need it !!! Plsss

nlexa [21]

Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

(6, 10)
(a, 8)
(4, b)
(2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [2 - 10] / [2 - 6]

= -8 / -4

= 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope = [y₂ - y₁] / [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope = [y₂ - y₁] / [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope = [y₂ - y₁] / [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope = [y₂ - y₁] / [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

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3 years ago

If you place a 24-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bot

LenKa [72]

Answer:

13.3 ft

Step-by-step explanation:

24² - 20² = d²

d = √(576 - 400) = √176 = 13.26649... ≈ 13.3 ft.

6 0

2 years ago