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Sveta_85 [38]
3 years ago
10

The managers of an airline analyzed a random sample of flights and found that 48 out of 50 were on time. The airline has 450 fli

ghts scheduled for next week. How many flights will be expected to arrive on time?
Mathematics
1 answer:
Elena L [17]3 years ago
8 0

Answer:

432 flights are expected to arrive at time.

Step-by-step explanation:

48/50= 0.96

0.96 x 450=  432

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A number when divided by 780 gives remainder 38 .What
baherus [9]

Given:

A number when divided by 780 gives remainder 38.

To find:

The reminder that would be obtained by dividing same number by 26.

Solution:

According to Euclis' division algorithm,

a=bq+r                ...(i)

Where, q is quotient and 0\leq r is the remainder.

It is given that a number when divided by 780 gives remainder 38.

Substituting b=780,\ r=38 in (i), we get

a=(780)q+38

So, given number is in the form of 780q+38, where q is an integer.

On dividing 780q+38 by 26, we get

\dfrac{780q+38}{26}=\dfrac{780q}{26}+\dfrac{38}{26}

\dfrac{780q+38}{26}=30q+\dfrac{26+12}{26}

\dfrac{780q+38}{26}=30q+\dfrac{26}{26}+\dfrac{12}{26}

\dfrac{780q+38}{26}=30q+1+\dfrac{12}{26}

Since q is an integer, therefore (30q+1) is also an integer but \dfrac{12}{26} is not an integer. Here 26 is divisor and 12 is remainder.

Therefore, the required remainder is 12.

4 0
3 years ago
The data indicate the following approximate percentages:
Mariana [72]

Answer:

Answer 1:

2,147,616

Answer 2:

5,145,330

Answer 3:

3,758,328

Answer 4:

8,157,958

Step-by-step explanation:

These are all correct i got 10/10.

8 0
3 years ago
Find the prime factorizations foor the following numbers 36 and 84
Varvara68 [4.7K]
Answer:

36 = 2² * 3²
84 = 2² * 3 * 7


Explanation:

Pf of 36 = 2 * 2 * 3 * 3 which then becomes 2 (to the power of 2) times 3 (to the power of 2)

Pf of 84 = 2 * 2 * 3 * 7 which then becomes 2 (to the power of 2) * 3 * 7

If this helps it would be greatly appreciated if you thanked me.
6 0
4 years ago
A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i
mars1129 [50]

Answer:

The absolute change in the height of the water is 9.5 inches

Step-by-step explanation:

Given

l =24in --- length

w = 15in --- width

h =12in --- height

V_1 = 900in^3 --- the volume removed

Required

The absolute change in the height of the water

First, calculate the base area (b):

b = l * w

b =24in * 15in

b =360in^2

The height of the water that was removed is:

<em />H = \frac{V_1}{b}<em> i.e. the volume of the water removed divided by the base area</em>

H = \frac{900in^3}{360in^2}

H = \frac{900in}{360}

H = 2.5in

The absolute change in height is:

\triangle H = |h - H|

\triangle H = |12in - 2.5in|

\triangle H = |9.5in|

\triangle H = 9.5in

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3 years ago
Which sequence of transformations would maintain congruent ?
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