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2 years ago

Lana does yard work. The information below shows the approximate time for each job:

Mathematics

2 answers:

maksim [4K]2 years ago

8 0

Answer:

No, not enough time

Step-by-step explanation:

<u>Time to complete each of jobs</u>

1/2 * 3 = 1 1/2 hrs
3/4 * 1 = 3/4 hr
1 1/2 * 2 = 3 hrs
2 1/2 * 1 = 2 1/2 hrs

<u>Total time at job</u>

1 1/2 + 3/4 + 3 + 2 1/2 = 7 3/4 hrs

If the work day lasts for 8 hours, then Lana has only 1/4 hr to travel between jobs and a lunch break.

This time is not sufficient so she can't complete all the jobs.

adell [148]2 years ago

7 0

Answer:

Yes there is plenty of time for her by my estimation

Step-by-step explanation:

total hours = 7.75 hrs

7 hours plus 45 mins

30 break 15 travel per job

15 * 7 = 105 mins

135 total

total = 9.5 hours

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3 years ago

Read 2 more answers

Use Cramer's Rule to find x in the system of equations below.

Ronch [10]

Answer: x = 4 , y = -3

Step-by-step explanation:

Going by the Cramer's rule , we first determine the determinant by dealing with only the coefficients of x and y in the 2 x 2 matrix.

2x - 3y = 17

5x + 4y = 8

2 -3

5 4, going by the rule now, we now have

(2 x 4) - (5 x -3)

8 + 15

= 23.

Now to find the value of x , replace the constants with the coefficient of x and divide by he determinants.

17 -3

8 4

---------------

2 -3

5 4

( 17 x 4 ) - ( 8 x -3 )

---------------------------

= 68 + 24

------------

= 92/23

= 4.

x = 4

Now to find y, just repeat the process by replacing the coefficient of y with the constants.

2 17

5 8

-----------

2 -3

5 4

( 2 x 8 ) - ( 5 x 17 )

-----------------------

16 - 85

---------

= -69/23

= -3

y = -3.

check

substitute for the values in any of the equations above.

2(4) - 3(-3)

8 + 9

= 17

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3 years ago

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i

Scorpion4ik [409]

Answer:

a) We need a sample size of at least 3109.

b) We need a sample size of at least 4145.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.