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3 years ago

4. How many total hours does a grocery clerk work if he

Mathematics

2 answers:

vlada-n [284]3 years ago

8 0

Answer:

B. 28 hr 45 min

Step-by-step explanation:

To find the answer we can do the following:

3 + 2 = 5 (number of hrs per day)

5 * 5 = 25 (number of hrs for 5 days without the minutes added on)

30 + 15 = 45 (number of minutes per day separate from hrs)

45 * 5 = 225 (number of minutes separate from hrs for 5 days)

225 minutes = 3 hours and 45 minutes (can be found by dividing 60 from 225)

25 hrs + 3 hrs 45 min = 28 hr 45 min

Fynjy0 [20]3 years ago

6 0

The answer is 27:25 but it’s not on your letters

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if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?

Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 9 rolls, hence $n = 9$ .

Of the six sides, 2 are 3 or 4, hence $p = \frac{2}{6} = 0.3333$

The desired probability is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

$P(X < 2) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026$

$P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117$

Then:

$P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857$

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0

3 years ago

The circumference of a circle is 15 meters. Determine the diameter. Use 3 for pie.

erik [133]

Answer:

4.77

if u use 3 for pie its 5

Step-by-step explanation:

formula is d=c/pie

so d=15/pie

d=4.77

5 0

3 years ago

Translate each of the following research questions into appropriate H0 and Ha.

Mandarinka [93]

Answer:

$H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}$

$H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}$

Step-by-step explanation:

We have to build appropriate null and alternate hypothesis for the given scenarios.

a) Population mean, μ = $62,500 per year

The market research wants to find whether the mean household income of mall shoppers is higher than that of the general population.

$H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}$

We would use one-tail(right) test to perform this hypothesis.

b) Population mean, μ = 2.6 hours

The company want to know the average time to respond to trouble calls is different or not.

$H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}$

We would use two-tail test to perform this hypothesis.

7 0

3 years ago

Quation that show an estimate of 7,203+299

Dmitry [639]

The two numbers are very near 7200 and 300. The sum of those is a good estimate of your sum:

... 7200 + 300 = 7500

_____

If you're taught methods of addition that include "make a ten" or "make a hundred", you know you can "borrow" a 1 from 7203 (making it 7202) and loan that 1 to 299 to make it 300. Now, you know your sum is exactly 7202+300 = 7502, with no estimation necessary.

8 0

3 years ago

Read 2 more answers

Simplify the expression (2^-4)^-2

Vedmedyk [2.9K]

Answer:

256

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

6 0

2 years ago