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2 years ago

Which value of X makes the quotient of (5x^5+90x^2-135x)/(x+3) undefined

Mathematics

1 answer:

faust18 [17]2 years ago

3 0

Answer:

b) - 3

Step-by-step explanation:

If x = -3 , then

x + 3 = -3 + 3 = 0

So, denominator would become 0. So , anything divided by 0 is undefined

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CX is an altitude in triangle ABC. Which statements are true? Select two options. .

Nastasia [14]

Answer:

Does the answer help you?

5 0

3 years ago

Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How

rodikova [14]

The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:

total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3*(100%+4.5%)^4
total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * 1.121622319 * 1.1925186
total money= £14,713.11

8 0

3 years ago

Confidence Interval Mistakes and Misunderstandingsâ€”Suppose that 500 randomly selected recent graduates of a university were as

kvv77 [185]

Answer:

The correct 95% confidence interval is (8.4, 8.8).

Step-by-step explanation:

The information provided is:

$n=500\\\bar x=8.6\\\sigma=2.2$

(a)

The (1 - α)% confidence interval for population mean (μ) is:

$CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}$

The 95% confidence interval for the average satisfaction score is computed as:

8.6 ± 1.96 (2.2)

This confidence interval is incorrect.

Because the critical value is multiplied directly by the standard deviation.

The correct interval is:

$8.6\pm 1.96 (\frac{2.2}{\sqrt{500}})=8.6\pm 0.20=(8.4,\ 8.6)$

(b)

The (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true there is a 95% confidence that the true parameter value is contained in this interval.

The mistake is that the student concluded that the sample mean is contained in between the interval. This is incorrect because the population is predicted to be contained in the interval.

(c)

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true mean satisfaction score is contained between 8.4 and 8.8 with probability 0.95 or 95%.

Thus, the students is not making any misinterpretation.

(d)

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

In this case the sample size is,

n = 500 > 30

Thus, a Normal distribution can be applied to approximate the distribution of the alumni ratings.

7 0

3 years ago

Select which type of polygon this figure is.

Naya [18.7K]

Answer:

Step-by-step explanation:

A is not correct. A trapezoid does not have 4 equal sides.

B is not correct. Same reason as A even if the trapezoid is isosceles.

C is not correct. A square has 4 equal sides and 2 sets of parallel lines and 1 right angle. That is not what this figure looks like.

D is the correct answer.

E is incorrect. A rectangle has 2 pairs of equal sides and two sets of opposite sides that are equal and parallel. It also has at least 1 right angle.

The original figure has none of these things.

6 0

3 years ago

Is 16x^2-36x+25^2 a perfect Square trinomial

yulyashka [42]

Answer:

No, middle term should be 40x.

Step-by-step explanation:

$16 {x}^{2} - 2 \times 4x \times 5 + {25}^{2} \\ = {(4x)}^{2} - 40x + {5}^{2} \\ = (4x - 5)^{2} \\$

Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.

6 0

3 years ago