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Serga [27]
3 years ago
15

Is this perpendicular or parallel or neither y = -4/5x+3 And 4x -5y=-15

Mathematics
1 answer:
aleksley [76]3 years ago
6 0
This would be perpendicular
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Of the people who prefer mocha, the relative frequency of them preferring it cold is
WITCHER [35]

Answer

1) Relative frequency of prefering cold mocha amongst mocha drinkers = 0.32

2) Relative frequency of prefering a latte amongst hot coffee drinkers = 0.22

3) Type of coffee that has the highest percentage of people who prefer it cold = Regular

Explanation

1) Relative frequency of prefering cold mocha amongst mocha drinkers is given as

Relative frequency

= (Number of mocha drinkers who prefer it cold) ÷ (Total number of mocha drinkers)

Number of mocha drinkers who prefer it cold = 12

Total number of mocha drinkers = 12 + 25 = 37

Relative frequency = 12 ÷ 37 = 0.32

2) Relative frequency of prefering a latte amongst hot coffee drinkers is given as

Relative frequency

= (Number of latte drinkers who prefer it hot) ÷ (Total number of hot coffee drinkers)

Number of latte drinkers who prefer it hot = 19

Total number of hot coffee drinkers = 11 + 25 + 19 + 30 = 85

Relative frequency = (19/85) = 0.22

3) Percentage of people who prefer cold coffee for each coffee type

Regular

(17/28) = 60.7%

Mocha

(12/37) = 32.4%

Latte

(20/39) = 51.3%

Cappuccino

(27/57) = 47.4%

Regular coffee drinkers have the highest percentage of drinkers who prefer it cold.

Hope this Helps!!!

7 0
1 year ago
Suppose the time to process a loan application follows a uniform distribution over the range 77 to 1515 days. What is the probab
Delicious77 [7]

Answer:

The probability is approximately 0.2222

Step-by-step explanation:

The correct question is as follows;

Suppose the time to process a loan application follows a uniform distribution over the range 7 to 15 days. What is the probability that a randomly selected loan application takes longer than 14 days to process

Please check attachment for solution to question

5 0
3 years ago
Ling wants to determine the average distance she travels each day in her car. She records the odometer reading, which measures t
erica [24]

Answer:

Mean = 10724.29\ mi

Step-by-step explanation:

Given

n = 7 --- days

See attachment for odometer readings

Required

The mean of the distance

Mean is calculated as:

Mean = \frac{\sum x}{n}

So, we have:

Mean = \frac{10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477}{7}

Mean = \frac{75070}{7}

Mean = 10724.2857143

Approximate

Mean = 10724.29\ mi

5 0
2 years ago
Find the complex fourth roots of 81(cos(3π/8)+isin(3π/8)). a) Find the fourth root of 81. b) Divide the angle in the problem by
WARRIOR [948]

Answer:

The answer is below

Step-by-step explanation:

Let a complex z = r(cos θ + isinθ), the nth root of the complex number is given as:

z_1=r^{\frac{1}{n} }(cos(\frac{\theta +2k\pi}{n} )+isin(\frac{\theta +2k\pi}{n} )),\\k=0,1,2,.\ .\ .,n-1

Given the complex number z = 81(cos(3π/8)+isin(3π/8)), the fourth root (i.e n = 4) is given as follows:

z_{k=0}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8}  +2(0)\pi}{4} )+isin(\frac{\frac{3\pi}{8}  +2(0)\pi}{4} ))=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})] \\z_{k=0}=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})]\\\\z_{k=1}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8}  +2(1)\pi}{4} )+isin(\frac{\frac{3\pi}{8}  +2(1)\pi}{4} ))=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})] \\z_{k=1}=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})]\\\\

z_{k=2}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8}  +2(2)\pi}{4} )+isin(\frac{\frac{3\pi}{8}  +2(2)\pi}{4} ))=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})] \\z_{k=2}=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})]\\\\z_{k=3}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8}  +2(3)\pi}{4} )+isin(\frac{\frac{3\pi}{8}  +2(3)\pi}{4} ))=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})] \\z_{k=3}=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})]

3 0
3 years ago
Convert 6.28km into metres
ycow [4]

Answer:

8275382+9162672(7263382) 615-41+8162(71818)

6 0
3 years ago
Read 2 more answers
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