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Alexxandr [17]
3 years ago
6

On a particular day, the wind added 3 miles per hour to Alfonso's rate when he was cycling with the the wind and subtracted 3 mi

les per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 48 miles with the wind, he could only go 30 miles against the wind. What is his normal bicycling speed with no wind ?
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0
13 mph

using d=rt you can set up 2 equations

48=(r+3)t
30= (r-3)t
solving these both for t and setting them equal warrants

48/(r+3) = 30/(r-3)
and with cross multiplication and distribution you get 

48r-144=30r+90

solving for r you get r=13
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An ice cube is made of 5 fluid ounces of water. About how many milliliters of water does it take to make an ice cube
Sergio [31]

<u>ANSWER: </u>

147.868 mL of water is required to make an ice cube.

<u>SOLUTION: </u>

Given that, an ice cube is made up of 5 fluid ounces of water.

We need to find how many milli liters of water does it require to make an ice cube.

For, that we have to convert 5 fluid ounces in to units of milli liters.

We know that, 1 US fluid ounce equals to 29.5735 milli liters. i.e. 1 US fluid ounce = 29.5735 mL

Now,  

An ice cube is made by 5 fluid ounces = 5 x 1 fluid ounce

= 5 x 29.5735 mL  = 147.868 mL

Hence, 147.868 mL of water is required to make an ice cube.

5 0
3 years ago
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Nelson owes $850 on a cre
Finger [1]

The sequence will be


850, 850 \times (1.018)^1, 850 \times (1.018)^2, 850 \times (1.018)^3, 850 \times (1.018)^4, ...


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850, 865.30, 880.875, 896.731, 912.872, ...



8 0
3 years ago
Read 2 more answers
What is true about the sides KNM?
Archy [21]
Kn=nm is the answer
3 0
3 years ago
The effect of a monetary incentive on performance on a cognitive task was investigated. The researcher predicted that greater mo
riadik2000 [5.3K]

Answer:

1) H_0:\mu_5=\mu_{25}=\mu_{50}

2) H_a:\mu_{50}>\mu_{25}>\mu_{5}

3) A Type I error happens when we reject a null hypothesis that is true. In this case, that would mean that the conclusion is that there is evidence to support the claim that the greater the incentive, the more puzzles are solved, but that in reality there is no significant difference.

4) A Type II error happens when a false null hypothesis is failed to be rejected. In this case, that would mean that there is no enough evidence to support the claim that the greater the incentive, the more puzzles are solved, but in fact this is true.

5) The probability of a Type I error is equal to the significance level, as this is the chance of having a sample result that will make the null hypothesis be rejected.

Step-by-step explanation:

As the claim is that the greater the incentive, the more puzzles were solved, the null hypothesis will state that this claim is not true. That is that there is no significant relation between the incentive and the amount of puzzles that are solved. In other words, the mean amount of puzzles solved for the different incentives is equal (or not significantly different):

H_0:\mu_5=\mu_{25}=\mu_{50}

The research (or alternative hypothesis) is that the greater the incentive, the more puzzles were solved. That means that the mean puzzles solved for an incentive of 50 cents is significantly higher than the mean mean puzzles solved for an incentive of 25 cents and this is significantly higher than the mean puzzles solved for an incentive of 5 cents.

H_a:\mu_{50}>\mu_{25}>\mu_{5}

A Type I error happens when we reject a null hypothesis that is true. In this case, that would mean that the conclusion is that there is evidence to support the claim that the greater the incentive, the more puzzles are solved, but that in reality there is no significant difference.

A Type II error happens when a false null hypothesis is failed to be rejected. In this case, that would mean that there is no enough evidence to support the claim that the greater the incentive, the more puzzles are solved, but in fact this is true.

The probability of a Type I error is equal to the significance level, as this is the chance of having a sample result that will make the null hypothesis be rejected.

4 0
3 years ago
Pls help due ASAP<br> Show workings
noname [10]

Answer:

JP = 18

PS = 9

Step-by-step explanation:

ps being the shorter side is one third of the line JS and 1/3 of 27 is 9

jp being the longer side is 2/3 the length of js and 2/3s of 27 is 18

4 0
3 years ago
Read 2 more answers
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