Write the given fraction in simplest form 110 over 484

Due this Thursday.. help pls.

kobusy [5.1K]

2004 was a leap year so 29/366=7.9%

4 0

3 years ago

What is the square root of 25

lions [1.4K]

the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!

3 0

3 years ago

Read 2 more answers

the sum of two numbers, x and y, is 142. their difference is 14. which system of equations could be used to find the numbers?

Alex17521 [72]

Answer: Addition, 128

Step-by-step explanation: with any question like this you are to do the opposite of what is tells you to do like when it said the sum your supposed to subtract the two numbers.

7 0

3 years ago

A parabola passes through the points (-2,8), (0,2), and (1,5). What function does the graph represent?

zheka24 [161]

ANSWER

$y = 2 {x}^{2} + x + 2$

EXPLANATION

Let the function that represent the graph be:

$y = a {x}^{2} + bx + c$

The parabola passes through the points (-2,8), (0,2), and (1,5).

These points must satisfy the function.

For (-2,8), we have

$8= a{( - 2)}^{2} + b( - 2) + c$

This implies that that,

$4a - 2b + c = 8...(1)$

For (0,2), we have,

$2= a{( 0)}^{2} + b( 0) + c$

This implies that,

$c = 2$

For (1,5), we have

$5= a{( 1)}^{2} + b( 1) + c$

This implies that,

$a + b + c = 5...(2)$

Put c=2 into equation (1) and (2).

$4a - 2b + 2 = 8$

$4a - 2b = 8 - 2$

$4a - 2b = 6$

$2a - b = 3...(3)$

$a + b + 2=5$

$a + b =5 - 2$

$a + b = 3...(4)$

Add equation (3) and equation (4)

$3a = 6$

$a = 2$

Put a=2 into equation (4).

$2 + b = 3$

$b = 3 - 2 = 1$

Therefore the function is

$y = 2 {x}^{2} + x + 2$

5 0

4 years ago

A company manufactures a wash-down motor that is used in the food processing industry. The motor is marketed with a warranty tha

scZoUnD [109]

Answer:

a) P [ X ≤ 12000 ] = 0.0262 or 2.62 %

b) P [ X > 16100] = 0,0228 or 2,28 %

X = 13479,2 hours or 13500 hours

Step-by-step explanation:

Normal Distribution

μ₀ = 14000 hours and σ = 1050 hours

a) Probability of X (replacement of motor free of charge)

Z = ( X - μ₀ ) / σ

Z = ( 12000- 14000) / 1050

Z = - 2000/1050

Z = - 1,904

From z Table we get

for z = -1.904 P [ X ≤ 12000 ] = 0.0262

P [ X ≤ 12000 ] = 0.0262 or 2.62 %

b) What % of motors can be expected to operate more than 16100 hours

z = ( 16100 - 14000) / 1050

z = 2100/1050 ⇒ 2

From z table we find with z = 2 total number f motor operating up to 16100 hours

From z table we find 0,9772

Then probability of motors operating for more than 16100 hours is:

P [ X > 16100] = 1 - 0.9772 = 0,0228

Then

P [ X > 16100] = 0,0228 or 2,28 %

c) The average hours of operation before failures if only 1% of motors would be replaced free of charge is:

1% = 0,01 Probability then z score is z = 0,4960

0,4960 = ( 14000 - X ) / 1050

0,4960 * 1050 = ( 14000 - X )

520,8 - 14000 = - X

X = 13479,2 hours as is not common such offer company could set up guarantee for 13500 h

7 0

4 years ago