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garik1379 [7]
3 years ago
12

At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi

ng north is riding 4 km/hour faster than the bicyclist heading south. At 10:30, they are 39 km apart. Find the two bicyclists’ rates.
Mathematics
2 answers:
leonid [27]3 years ago
6 0

northbound bicyclist is going 15 km/h and the southbound bicyclist is going 11 km/h

riadik2000 [5.3K]3 years ago
3 0
<span>Simple. The two cyclists have covered a distance of 39 miles in 1.5 hours. 39 divided by 1.5 = 26, so 26kph combined speed. Then just divide 26 by 2 = 13kph, which is the average speed of each cyclist. Then add 2kph to the one cyclist and subtract 2kph from the other. One is going at 15kph, the other is going at 11kph. </span>
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An item is regularly priced at 25. It is on sale for 80% off the regular price. What is the sale price?
Burka [1]

<u>answer</u>:

sale price: $5

<u>explanation</u>:

total price is always 100%

sale price is 80% off,

sale price: 100% - 80% = 20%

<u>solve</u>:

→ 20% * $25

→ $5

7 0
2 years ago
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Ravi drank 24 fluid ounces of juice. How much is this in cups?
Taya2010 [7]

Answer:

24 fluid ounces would be 3 cups

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Based on a​ survey, assume that ​% of consumers are comfortable having drones deliver their purchases. Suppose that we want to f
n200080 [17]

Answer and Step-by-step explanation:

Solution:

Given:

Assume that 46% of consumers are comfortable to deliver their purchase.

Five consumers randomly selected.

Exactly three of them are comfortable with delivery by drones.

Identify the value of n, x, p?

Probability of success on any one trial = 46% = 0.46

Probability of failure on any trial = q = 1-p

                                                          = 1- 0.46

                                                          = 0.54

The number of trial = n = 5

The number of comfortable consumers =x = 3

n represent the number of subject included.in this question, there are five consumers randomly selected.

X represents the number of success. In question, there are exactly three consumers that are comfortable with delivery by drones.

P represents the probability of success, and q represent the probability of failure.

Hence,

n = 5

x= 3

p = 0.46

q= 0.54

4 0
3 years ago
PLEASE HELP BRAINLIES+20 POINTS ASAP!!!!!!!!!!
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Length = L.

Width = 2L-3.

A = L * W = 170.

L * (2L-3) = 170.

2L^2 - 3L - 170 = 0,

L = (-B +- Sqrt(B^2-4AC))/2A.

L = (3 +- Sqrt(9 + 1360))/4,

L = (3 +- 37)/4 = 0.75 +- 9.25 = 10, and -8.5. In.

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3 0
3 years ago
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Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the f
melisa1 [442]

Answer:

For the 99th percentile, we have X = 206 seconds.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

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Value of X when Z has a pvalue of 0.99. So we use Z = 2.325

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2.325 = \frac{X - 138.5}{29}

X - 138.5 = 29*2.325

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4 0
3 years ago
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