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Kobotan [32]
3 years ago
7

Find the sum of all the integers from 1 to 100 that are not multiples of 7

Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer:

4343

Step-by-step explanation:

To find multiple of 7 from 1 to 100,

Take the quotient of 100/7=14

n=100 (number of terms)

n=100-14 (Without Multiple of 7=number of terms - multiple of 7)

=>n=86

Sum of 1 to 100 => Sn = n/2(a + an)

                          => Sn = 86/2(1+100)

                          => Sn = 43(101)

                          => Sn = 4343

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A coin is tossed 8 times. Which of the following represents the probability of the coin landing on heads all 8 times?
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Answer:

\large\boxed{\large\boxed{Probability=1/256\approx  0.0039}}

Explanation:

Since, there are two possible outcomes for every toss (head or tail), the sample space for<em> a coin tossed 8 times</em> is 2×2×2×2×2×2×2×2 = 2⁸ = 256.

<em>Landing on heads all 8 times</em> is just one of the possible outcomes: HHHHHHHH ⇒ 1.

Hence, the <em>probability </em>is calculated from its own definition:

Probability = number of favorable outcomes / number of possible outcomes

  • Probability=1/256\approx  0.0039\text{         }\leftarrow answer

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Answer:

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An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
Alexus [3.1K]

Answer:

0.4kg, 1.4kg and 1.8kg

Step-by-step explanation:

Given parameters:

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Unknown:

Mass of each element in the alloy = ?

Solution:

To find the mass of each element in the alloy, first find the sum of the ratio;

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