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hjlf
3 years ago
9

There are 5 yellow buttons, 2 green buttons, and 3 red buttons in a bag. Find the following probabilities A. Find the probabilit

y of pulling yellow or red button. Answer
B. find the probability of pulling a green button, then a red button with replacement. Answer and C. Find the probability of pulling a red button, then a yellow button WITHOUT replacement. Answer
Mathematics
2 answers:
goldenfox [79]3 years ago
8 0
80%
6%
16.7%
answerrsss
ludmilkaskok [199]3 years ago
5 0
There are 10 buttons total then pulling a green button out of the total is 2/10 and a red is 3/10 and pulling a red button is 3/10 and a yellow button 5/9
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A bank branch located in a commercial district of a city has the business objective of improving the process for serving custome
choli [55]

Answer:

We conclude that the mean waiting time is more than or equal to 5 minutes at 5% level of significance.

Step-by-step explanation:

We are given that waiting time is defined as the time the customer enters the line until he or she reaches the teller window.  

A random sample of 15 customers is selected. Results found that the sample mean waiting time was 4.287 minutes with a sample standard deviation of 1.638 minutes.

Let \mu = <u><em>mean waiting time.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq 5 minutes     {means that the mean waiting time is more than or equal to 5 minutes}

Alternate Hypothesis, H_A : \mu < 5 minutes      {means that the mean waiting time is less than 5 minutes}

The test statistics that would be used here <u>One-sample t-test statistics</u> as we don't know about population standard deviation;

                              T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean waiting time = 4.287 minutes

            s = sample standard deviation = 1.638 minutes

            n = sample of customers = 15

So, <u><em>the test statistics</em></u>  =  \frac{4.287 -5}{\frac{1.638}{\sqrt{15} } }  ~ t_1_4

                                       =  -1.686

The value of t test statistics is -1.686.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical value of -1.761 at 14 degree of freedom for left-tailed test.</u>

Since our test statistic is more than the critical value of t as -1.686 > -1.761, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the mean waiting time is more than or equal to 5 minutes.

5 0
3 years ago
Answer the photo below thanks
Over [174]

Answer:

D. 728 m^2

Step-by-step explanation:

2 × (16 × 15 + 4 × 15 + 4 × 16) = 728

5 0
3 years ago
Jasmine has a bag which contains a nickel, a penny, and a dime. Find the probability of getting a nickel first and then a penny
stepan [7]

Answer:

0.166 = 16%

Step-by-step explanation:

There are three different options to pick in the bag, so the probability of getting a nickel first is 1/3, and then the probability of getting a penny without replacing the nickel is 1/2, as there will be only 2 options remaining after the nickel was picked.

So the final probability is the product of these probabilities:

P = (1/3) * (1/2) = 1/6 = 0.166 = 16%

3 0
3 years ago
An ancient Chinese candle clock tells the amount of time that has passed by the amount of wax that has been melted off the candl
maxonik [38]

Answer:

Time = 560\ mins

Step-by-step explanation:

Given

Candles = 2 --- candles melted

Divisions = 12

Time = 4\ hrs --- time to melt

Required

The time since the first was lit

If 1 candle melts in 4 hours, 2 candles will melt in 8 hours.

i.e.

x = Candles * Time

x = 2 * 4hrs

x = 8hrs

For the 3rd candle that has melted, 4 inches

First, calculate the fraction that melt

Fraction = \frac{Melt}{Division}

Fraction = \frac{4}{12}

Fraction = \frac{1}{3}

The time to melt is:

y = Fraction * Time

y= 4 * \frac{1}{3}

y= \frac{4}{3}hrs

So, the required time is:

Time = x + y

Time = 8hrs + \frac{4}{3}hrs

Convert to minutes

Time = 8*60mins + \frac{4}{3}*60mins

Time = 480mins + 80mins

Time = 560\ mins

4 0
2 years ago
Find the area of the trapezoid.<br> 10.5 cm<br> 9.28 cm<br> 21.1 cm<br> [ ? ] cm2
san4es73 [151]

split the right triangle from the trapezoid and solve for that right triangle first

8 0
3 years ago
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