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2 years ago

if mary earns $247.25 for gardening. if she worked 21.5 hours this month, then how much did she earn per hour?

Mathematics

1 answer:

N76 [4]2 years ago

5 0

She earned 11.5 per hour! And we know this because 247.25 divided by 21.5 = $11.5 per hour ( hope this helps:)

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There are 169 million registered voters in the us. determine an interval for the number (how many) of registered democrats in th

VashaNatasha [74]

Part A:

Given that in a sample of 400 registered voters, 204 were democrats, i.e. n = 400, $\hat{p}= \frac{204}{400} =0.51$

The 95% confidence interval for the proportion of registered democrats voters in the population is given by:

$95\%\ C.I.=\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\ \\ =0.51\pm1.96\sqrt{\frac{0.51(1-0.51)}{400}}=0.51\pm1.96\sqrt{\frac{0.2499}{400}} \\ \\ =0.51\pm1.96(0.025)=0.51\pm0.049=(0.51-0.049,\ 0.51+0.049) \\ \\ =\bold{(0.461,\ 0.559)}$

Part B:

Given that there are 169 million registered voters in the US, the interval for the number of registered democrats in the population is given by

[0.461(169,000,000), 0.559(169,000,000)] = (77,909,000, 94,471,000)

6 0

3 years ago

A tree in John's backyard has been growing for 4 1/2 years. The tree is 4/5 meters tall. What is the unit rate in meters per yea

STatiana [176]

Answer:

5 127/200 meters

Step-by-step explanation:

4 1/2 = 4 5/10 | 4/5 = 8/10

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4 5/10 = 4.5 | 8/10 = 0.8

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4.8 divided by 0.8 = 5.625

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5.635 = 5 635/1000

635/1000 divided by 5 = 127/200

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

5 + 127/200 = 5 127/200

4 0

3 years ago

So I know someone just yelled at me after I tried to help them but I need help too

Vikentia [17]

9514 1404 393

Answer:

9 oz less

Step-by-step explanation:

The difference is 75% of 12 oz, so is ...

0.75 · 12 oz = 9 oz

The regular bottle holds 9 ounces less.

6 0

2 years ago

A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Martina chooses a marble at random, and without putting it bac

Nana76 [90]

The probability that the first one is red is: 4/9
The probability of the second one is blue is: 2/9

4 0

3 years ago

Two bowlers bowl the following number of strikes in 9 games

ehidna [41]

First, let's calculate the mean and the mean absolute deviation of the first bowler.

FIRST BOWLER: 8,5,5,6,8,7,4,7,6
Mean = (Sum of all data)/(Number of data points) = (8+5+5+6+8+7+4+7+6)/9
Mean = 6.222
Mean absolute deviation or MAD = [∑(|Data Point - Mean|]/Number of Data Points
MAD = [|8 - 6.222| + |5 - 6.222| + |5 - 6.222| + |6 - 6.222| + |8 - 6.222| + |7 - 6.222| + |4 - 6.222| + |7 - 6.222| + |6 - 6.222|]/9
MAD = 1.136

SECOND BOWLER: 10,6,8,8,5,5,6,8,9
Mean = (Sum of all data)/(Number of data points) = (10+6+8+8+5+5+6+8+9)/9
Mean = 7.222
Mean absolute deviation or MAD = [∑(|Data Point - Mean|]/Number of Data Points
MAD = [|10 - 7.222| + |6 - 7.222| + |8 - 7.222| + |8 - 7.222| + |5 - 7.222| + |5 - 7.222| + |6 - 7.222| + |8 - 7.222| + |9 - 7.222|]/9
MAD = 1.531

The mean absolute deviation represents the average distance of each data to the mean. Thus, the lesser the value of the MAD is, the more consistent is the data to the mean. Between the two, the first bowler is more consistent.

8 0

3 years ago