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3 years ago

Simplify the rational expression. State any restrictions on the variable.

Mathematics

1 answer:

natulia [17]3 years ago

8 0

Answer:

t+4, t≠8

Step-by-step explanation:

$\dfrac{t^2-4t-32}{t-8}=\dfrac{(t+4)(t-8)}{(t-8)}=t+4$

The value of t must not be one that makes the denominator zero, hence must not be 8.

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Find the principle fourth root of -81, checking your answer by raising to the 4th power. If there are "no real roots," then type

kondaur [170]

Answer:

None

Step-by-step explanation:

There are actually 2 answers, 3 and -3. Although if you put it in a calculator, it would show "math error" or undefined. That's because the index is even (4) and the radicand is negative (-81)

4 0

3 years ago

How to solve 24.31÷2.6

Maru [420]

Answer:

9.35

Step-by-step explanation:

24.31 divided by 2.6 = 9.35

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2 years ago

Read 2 more answers

Find the product of (x – a) and (x - b).

yawa3891 [41]

(x−a)(x−b)

=(x+−a)(x+−b)

=(x)(x)+(x)(−b)+(−a)(x)+(−a)(−b)

=x2−bx−ax+ab

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3 years ago

Average speed is calculated by dividing total distance with the time it takes to complete it. True False

Aliun [14]

Answer:True

Step-by-step explanation:

Average speed refers to the total distance covered in a specific time . it also a scalar quantity (has magnitude but no direction)

Average speed=distance / time

-Speed is in kilometers/hours or meter/seconds

-distance is in kilometers or meters

-time is in hours or seconds

4 0

3 years ago

. Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 an

Andru [333]

Answer:

0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 56, \sigma = 5, n = 20, s = \frac{5}{\sqrt{20}} = 1.12$