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3 years ago

A shed has dimensions of 12m in length and 5 m in width. Both the length and

Mathematics

2 answers:

Andrew [12]3 years ago

5 0

lol Looks like someone has the same math assignment as me

BlackZzzverrR [31]3 years ago

3 0

Answer:

Length = 24

Step-by-step explanation:

It says, " Both the length and width are increased by the same amount..." this means that both 12m and 5m were increased. So 12 + 12 = 24 and 5 + 5 = 10.

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Events A and B are overlapping.

Karo-lina-s [1.5K]

Answer:

5/11

Step-by-step explanation:

Since the events are overlapping...

P(A or B) = P(A) + P(B) - P(A and B)

P(A) = 4/11

P(B) = 3/11

P(A and B) = 2/11

P(A or B) = 4/11 + 3/11 - 2/11

P(A or B) = 5/11

7 0

3 years ago

Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, ha

zmey [24]

Answer:

(a) There are 257 numbers which are divisible by 5 and by 7

(b) There are 1286 numbers which are divisible by 7

(c) There are 4500 even numbers

(d) There are 514 numbers which are divisible by 5 but not by 7

Step-by-step explanation:

(a) Since, LCM(5, 7) = 35,

Thus, the numbers divisible by 5 and by 7 between 1000 and 9999,

1015, 1050, 1085............, 9975

Which is an AP,

Having first term, a = 1015,

Common difference, d = 35,

Last term, l = 9975

If n be the number of terms,

$\because l = a + (n-1)d$

$9975 = 1015 + (n-1)35$

$9975 - 1015 = (n-1)35$

$8960 = (n-1)35$

$256 = n-1$

$\implies n = 256 + 1 = 257$

(b) Similarly, number divisible by 7,

1001, 1008, 1015............, 9996

Here, a = 1001, d = 7, l = 9996

$9996 = 1001 + (n-1)7$

$9996 - 1001 = (n-1)7$

$8995 = (n-1)7$

$1285 = n-1$

$\implies n = 1285 + 1 = 1286$

(c) Even numbers between 1000 and 9999 inclusive

1000, 1002, 1004, 1006,........9998

Here, a = 1000, d = 2, l = 9998

$9998 = 1000 + (n-1)2$

$9998 - 1000 = (n-1)2$

$8998 = (n-1)2$

$4499 = n-1$

$\implies n = 4499 + 1 = 4500$

(d) Number divisible by 5,

1000, 1005, 1010............, 9995

Here, a = 1000, d = 5, l = 9995

$9995 = 1000 + (n-1)5$

$9995 - 1000 = (n-1)5$

$8995 = (n-1)5$

$1799 = n-1$

$\implies n = 1799 + 1 = 1800$

Hence, the number divisible by 5 but not by 7 = numbers divisible by 5 - number divisible by 7

= 1800 - 1286

= 514

8 0

4 years ago

There are 10 participants in the Olympic 100 meter sprint. If first, second, and third place get medals, how many possible outco

BlackZzzverrR [31]

Answer:
56

Step-by-step explanation:

with Usain Bolt getting the the first place there is only 9 other contestants that can get the two other available medal position. When the second place is taken, there will be 8 remaining contestants for a third place therefore you do 9 multiplied by 8 to get 56 differrent combinations of contestants for the third or second place medal

8 0

2 years ago

PLEASEEE OMG HELP MEEEEE BRO

allochka39001 [22]

Answer:

i cant see the pic

Step-by-step explanation:

3 0

3 years ago

I need help this assignments due at 9 eastern time plzzzz

fomenos

The answer is 2x^2+2x-14. Using the distributive property, you can find that the area of the pool is x^2+3x+2. Next, you have to find the area of the deck. This will be 3x^2+5x-12. Finally, you subtract the area of the deck by the area of the pool. (3x^2+5x-12)-(x^2+3x+2) comes out to be 2x^2+2x-14. Hope this helps!!

6 0

3 years ago