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dedylja [7]
3 years ago
5

How many numbers less than 1000 are divisible by 7?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
6 0
==> The number of positive integers divisible by 7 but not by 11<span> is </span>142<span> - </span>12<span> = 130. ==>the number of positive integers less than 1000 that are divisible by either 7 or </span>11<span>is </span>142<span> + </span>90<span> - </span>12<span> = </span>220<span>. ==>the number of positive integers less than 1000 that are divisible by exactly by one of 7 and </span>11<span> is </span>220<span> - </span>12<span> = </span>208<span>.</span>
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11/15 minus 1/3 in simplified form
Mrac [35]

Answer:

\frac{2}{5}

Step-by-step explanation:

\frac{11}{15}  -  \frac{1}{3} \\  \frac{11}{15}   -  \frac{1 \times 5}{3 \times 5}  \\  \frac{11}{15}  -  \frac{5}{15}  \\  \frac{6}{15}  \\  \frac{6 \div 3}{15 \div 3}  \\  \frac{2}{5}

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3 years ago
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Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x
Irina18 [472]

For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has

• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5

• height = <em>x</em> ² + 2

• thickness = d<em>x</em>

and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}

4 0
3 years ago
PLS HURRY Kimberly had p coins. Then she found 5 more coins in a drawer. Write an expression that
stellarik [79]

Answer: p + 5 = new amount

Step-by-step explanation:

You have to write it the way it's read

she has p = current coins

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write that down and you get p + 5 = new amount

hope this helps

plz mark brainleist

6 0
3 years ago
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algol [13]
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3 years ago
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Masteriza [31]

The definition of two events being mutually exclusive (or disjoint) only means that it is not possible for the two events to occur together. Given two events, E and F, they are mutually exclusive and also mean independent.

In this case, since events E and F are mutually exclusive, therefore the probability that either E or F will occur will simply be the sum of two events.

P (E or F) = P (E) + P (F)

P (E or F) = 0.25 + 0.51

P (E or F) = 0.76

 

Therefore this means that there is a 76% probability that either E or F will occur.

8 0
3 years ago
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