If a and b are the zeroes of the polynomial, x^2-11x +30, then the value of a3 + b3 =

Describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 2 feet and 40

Marrrta [24]

Answer:

The length of the third side is between 16 inches and 64 inches.

Step-by-step explanation:

The length of a side of a triangle is between the sum and the difference of the lengths of the other two sides.

First, we need both sides in the same units. Let's convert feet to inches.

2 ft * (12 in.)/(ft) = 24 in.

The sides measure 24 inches and 40 inches.

Now we add and subtract the two lengths.

40 in. + 24 in. = 64 in.

40 in. - 24 in. = 16 in.

The length of the third side is between 16 inches and 64 inches.

8 0

3 years ago

Plz help fast!!

Leto [7]

Answer:

D. 16 km

Step-by-step explanation:

Hope this helps!

6 0

2 years ago

Which of the following are not trigonometry identities? Check all that apply

Anni [7]

B and A

That’s the answer bro trust xx

6 0

2 years ago

Solve for w.<br><br> 37.5=3w<br><br> w=?

Angelina_Jolie [31]

Answer:
w=12.5
Hope this helps :)

4 0

3 years ago

Read 2 more answers

The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta

nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

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 normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

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

By the Central Limit Theorem

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

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665

X = 8.18

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

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

8 0

3 years ago