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2 years ago

Help pleaseeee I need the answer asap

Mathematics

1 answer:

zubka84 [21]2 years ago

6 0

Answer:

$1 - \frac{7}{9} \times \frac{5}{9} = \frac{46}{81}$

Step-by-step explanation:

Basically, if you want to find the probability of getting either outcomes, you will need to subtract the probability of getting neither outcomes in the question. The probability for both outcomes are 7/9 and 5/9 respectively. You will have to multiply to get the probability of getting both of the non-desired outcomes. Hence, it gives the equation above

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What polynomial identity should be used to prove that 35 = 8 + 27

Julli [10]

Answer:

Sum of cubes identity should be used to prove 35 =3+27

Step-by-step explanation:

Prove that : 35 = 8 +27

Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.

Sum of the cubes identity:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

Take RHS

8+ 27

We can write 8 as $2 \times 2 \times 2 = 2^3$ and 27 as $3 \times 3 \times 3 = 3^3$ .

then;

8+27 = $2^3+3^3$

Now, use the sum of cubes identity;

here a =2 and b = 3

$2^3+3^3 = (2+3)(2^2-2\cdot 3+3^2)$

$2^3+3^3 = (5)(4-6+9)$ $= 5 \cdot 7 = 35$ = LHS proved!

therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27

4 0

3 years ago

Read 2 more answers

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o

Mumz [18]

Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .