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kipiarov [429]
3 years ago
11

La

Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer: 3¼ hours

Step-by-step explanation:

Number of hours used in baking = 2¾ hours

Number of hours used in cleaning up the kitchen = ½ hour

Therefore, the time used in the kitchen will be the addition of the time used in baking plus the time used in cleaning the kitchen which will be:

= 2¾ + ½

= 2 3/4 + 2/4

= 2 5/4

= 2 + 1¼

= 3¼ hours

Therefore, 3¼ hours was used in the kitchen.

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The answer is pie over three
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3 years ago
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Chegg Detecting acid rain: power by hand. Even though software is used in practice to calculate power, doing the work by hand in
Veseljchak [2.6K]

Solution :

a). Standard error of sample mean =  $\frac{\sigma}{\sqrt n}$

                                                          $=\frac{0.5}{\sqrt{15}}$

                                                        = 0.1290994

The observed mean point be $\overline x$

Test statistics z = $\frac{\text{(observed mean - hypothesized mean)}}{\text{standard error}}$

                         $=\frac{\overline x -5}{0.1290994}$

For the left one sided test, critical value of z to reject $H_0 = -1.64$

We reject $H_0$ when test statics z < -1.64

b).  Value of  $\overline x$  z < -1.64

   $=\frac{(\overline x-5)}{0.1290994}

  $=\overline x  < 5-0.1290994 \times 1.64$

  $=\overline x < 4.78828$

∴ we reject $H_0$ when $\overline x < 4.78828$

c). The probability of rejecting $H_0$ when $\mu = 4.7$,

  $P(x

                            $=P(z

                           $=0.7517$

4 0
3 years ago
Mike works in a toy store. One week, he worked 38 hours and made $220. The next week, he received a raise, so when he worked 30
garik1379 [7]

Answer:

$0.21

Step-by-step explanation:

Let x be the amount of money earned per hour before raise and y be amount of money earned per hour after raise.

We have been given that before raise he worked 38 hours and earned $220. We can represent this information as: 38x=220

We are also told that the next week, he received a raise. After raise he worked 30 hours and made $180. We can represent this information as: 30y=180.

Let us solve for x and y.

x=\frac{220}{38}

x=5.7894736842105263

Therefore, before raise Mike earned $5.7894 per hour.

y=\frac{180}{30}

y=6

Therefore, after raise Mike earned $6 per hour.

Now let us subtract 5.7894 from 6 to find Mike's raise.

\text{Amount of raise}=6-5.7894

\text{Amount of raise}=0.2106\approx 0.21

Therefore, amount of Mike's raise to the nearest cent is $0.21.

8 0
4 years ago
A production system has a total daily output of 400 units and a total labor of 350 hours, what kind of productivity measure can
fomenos

Answer:

1.14 products per hour of labor

Step-by-step explanation:

To calculate the daily productivity would be the amount of products per hour of labor.

That is: 400 products / 350 hours of labor, and that is approximately 1.14 products per hour of labor.

Which means that for every hour of labor, 1.14 products are produced in one day, which would be a factor of productivity.

4 0
3 years ago
Nine pounds of beans are distributed equally into 4 bags to give out at the food bank. How many pounds of beans are in each bag?
Blizzard [7]

Answer:

2.25

Step-by-step explanation:

9 divided by 4 is 2.25 so therefor there is 2.25 pounds in each bag.

8 0
3 years ago
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