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2 years ago

The lines below are perpendicular. If the slope of the green line is ą, what is

Mathematics

1 answer:

TEA [102]2 years ago

6 0

Answer:

See below

Step-by-step explanation:

If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}

Hope this helps

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During an experiment, Juan rolled a six-sided number cube 18 times. The number two occurred four times. Juan claimed the experim

Maru [420]

Answer:

1) Juans claim is incorrect. The correct experimental probablilty is 2/9

Step-by-step explanation:

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2 years ago

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Find the annual rate of growth (interest rate) on an account that was worth $200 in 1975 and $415.79 in 1990

kodGreya [7K]

The percent change from one period to another is calculated from the formula:

Where:PR = Percent Rate
VPresent = Present or Future Value
VPast = Past or Present ValueThe annual percentage growth rate is simply the percent growth divided by N, the number of years.
(415.79-200)/200*100=107.89
The annual percentage growth rate is simply the percent growth divided by N, the number of years.

107.89/15=7.193

8 0

2 years ago

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Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice? 19

gavmur [86]

Suppose the spinner lands on a. There's a 1/3 chance that it'll land on a the second time.
Suppose the spinner lands on b. There's a 1/3 chance that it'll land on b the second time.
Suppose the spinner lands on c. There's a 1/3 chance that it'll land on c the second time.

We've covered all possibilities for the first spin, and they're all equal, so their average is 1/3.

The probability that it'll land on the same letter twice is 33.3%.

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2 years ago

At a bake shop, the cost of flour is $2.50 per pound and increases at a rate of $0.07 per month. The cost of cocoa is $6.00 per

Vesna [10]

Answer:

Step-by-step explanation:

We will find two equations for this system, one representing flour and the other representing cocoa. For the flour, we start with $2.50, and the cost goes up .07 per month, x. The equation for that is

y = .07x + 2.50

For the cocoa, the equation is written in the exact same way, but the cost goes down. Down is a negative thing while up is a positive thing. The cost starts at $6.00 and goes down .03 per month, x. The equation for that is

y = -.03x + 6.00

Comparing the first equation to the second, the .07 is positive because the cost goes UP that amount per month and the .03 is negative because the cost goes DOWN that amount per month. Get it?

If y is cost and we are tryong to find out where the cost is the same, we are looking for when y is the same. If the first y is equal to .07x + 2.50 and the second y is equal to -.03x + 6.00, and y is equal to y, then

.07x + 2.50 = -.03x + 6.00 (this is setting the first y equal to the second y). This is the system that describes how to find the number of months x when the cost y is the same. We'll solve it just for practice.

Combining like terms we get

.10x = 3.5 so

x = 35

Now back sub in what x equals to solve for y. If x = 35, then in the first equation,

.07(35) + 2.50 = y and

y = 4.95 (you could have used the second equation and subbed in 35 for x and you will get the exact same y value. Promise!)

What this answer tells us is that 35 months after the start of this pricing, the cost of flour will be the same as the cost of cocoa. But immediately after 35 months, the costs will not be the same anymore. It is only AT 35 months. At 36 months, the costs will be different.

7 0

2 years ago

Two production lines are used to pack sugar into 5 kg bags. Line 1 produces twice as many bags as does line 2. One percent of ba

enyata [817]

Answer:

P(Bag is Defective) = 0.0167

Step-by-step explanation:

Line 1 produces twice as many bags as line 2. Let x be the number of bags produced by line 2.

No. of bags produced by line 2 = x

No. of bags produced by line 1 = 2x

Probability that the bag has been produced by line 1 can be written as:

P(Line 1) = No. of bags produced by line 1/Total no. of bags

= 2x/(x+2x)

= 2x/3x

P(Line 1) = 2/3. Similarly,

P(Line 2) = x/3x

P(Line 2) = 1/3

1% bags produced by line 1 are defective so the probability of line 1 producing a defective bag is:

P(Defective|Line 1) = 0.01

3% of bags from line 2 are defective, so:

P(Defective|Line 2) = 0.03

b. The probability that the chosen bag is defective can be calculated through the conditional probability formula:

P(A|B) = P(A∩B)/P(B)

P(A∩B) = P(A|B)*P(B)

The chosen defective bag can be either from line 1 or from line 2. So, the probability that the chosen bag is defective is:

P(Bag is Defective) = P(Defective and from Line 1) + P(Defective and from Line 2)

= P(D∩Line 1) + P(D∩Line 2)

= P(Defective|Line 1)*P(Line 1) + P(Defective|Line 2)*P(Line 2)

= (0.01)*(2/3) + (0.03)(1/3)

P(Bag is Defective) = 0.0167

7 0

2 years ago

Read 2 more answers