Triangle ABC is dilated to get triangle A'B'C'. Which is the length of A'B'? 3 4 5 16

During a sale, a shop offered a discount of 10 % on the Marked Prices of all the items. What would a customer have to pay for a

icang [17]

Item 1:
((1450 * 0.10) + 1450) = 1595
or
(1450 * 1.1) = 1595

Item 2:
((850 * 0.10) + 850) = 935*2= 1870
or
(850 * 1.1) = 935*2 = 1870

Total Cost:

1595 + 1870 = 3465

6 0

3 years ago

The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel

Komok [63]

Answer:A. 3 inches

Step-by-step explanation: :)

7 0

3 years ago

Read 2 more answers

Cuanto es la raíz cubica de 27

zlopas [31]

Answer:

3

3•3•3= 27

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Please could answer this question for me

nikitadnepr [17]

Answer:

a) 26.2cm

b) 13.8 cm

please mark brainliest

Step-by-step explanation:

a) perimeter = 2(9+4.1) = 2(13.1) = 26.2 cm

b) perimeter = 3.6+3+7.2 =13.8 cm

6 0

3 years ago

Male bluethroats have a complex song which is thought to be used to attract female birds. Let x denote the duration of a randoml

nalin [4]

Answer:

a) Sample size larger than 30, so by the Central Limit Theorem, yes.

b) 0.8199 = 81.99% probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. The sketch is given at the end.

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 $s = \frac{\sigma}{\sqrt{n}}$ .

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

Mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds.

This means that $\mu = 13.8, \sigma = 11.8$

Sample of 36

This means that $n = 36, s = \frac{11.8}{\sqrt{36}} = 1.9667$

a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration " normally distributed" ?

Sample size larger than 30, so by the Central Limit Theorem, yes.

b. Find the probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. Draw, label, and shade a graph to illustrate your result.

This is 1 subtracted by the p-value of Z when X = 12. So

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

By the Central Limit Theorem

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