Which of the following correctly expresses the number 45.623?

Your $128 regular pay, plus tips, was $237. How much were the tips?

Amanda [17]

Just subtract them- $109

7 0

3 years ago

Madelyn cut a 60-inch pipe cleaner into two unequal pieces, and then she used each piece to make a square. The sum of the areas

e-lub [12.9K]

Its two squares, so you need to start by finding the perfect roots that go into 117. If you need more help after that just comment :)

6 0

4 years ago

A handbag contains five coins, four keys,

Dmitry [639]

The expected number of mints taken out of the handbag = 0.94

For given question,

We have been given that a handbag contains five coins, four keys,

and eight mints.

Total number of items in the handbag would be,

= 5 coins + 4 keys + 8 mints

= 17 items

So, the total number of items in a handbag = 17

Here, two items are taken out of the handbag one after the other and not replaced.

We need to find the expected number of mints taken out of the handbag.

Number of items taken out = 2

Let x be the number of mints taken out of the handbag.

x can be 0, 1, or 2

For x = 0,

the two items taken out could be either coins or keys.

no. of coins + no. of keys = 9

So, the 1st pick = 9/17

and 2nd pick = 8/16

⇒ P(x = 0) = 9/17 × 8/16

⇒ P(x = 0) = 72/272

For x = 1,

Assume that in the 1st pick mint is taken out.

So, 1st pick = 8/17

For second pick, it can be either coin or key.

This means, there are two possibilities for the second pick.

so, 2nd pick = 2 × 9/16

⇒ P(x = 1) = 8/17 × 9/16 × 2

⇒ P(x = 1) = 144/272

For x = 2,

1st pick = 8/17

2nd pick = 7/16

⇒ P(x = 2) = 8/17 × 7/16

⇒ P(x = 2) = 56/272

So, the expected number of mints taken out of the handbag would be,

= 0 × 72/272 + 1 × 144/272 + 2 × 56/272

= 0.94

Therefore, the expected number of mints taken out of the handbag = 0.94

Learn more about the probability here:

brainly.com/question/3679442

#SPJ4

5 0

2 years ago

A simple random sample of size equals 49 is obtained from a population with mu equals 88 and sigma equals 14. (a) Describe the

Gnoma [55]

Answer:

a) $\bar X \sim N(88,\frac{14}{\sqrt{49}}=2)$

b) $P(\bar X >91.2)=1-P(\bar X$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$