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Phantasy [73]
2 years ago
13

Y=-2/5x a. direct b. inverse c. neither

Mathematics
1 answer:
disa [49]2 years ago
7 0

Answer:

a. direct

Step-by-step explanation:

direct variation is y = kx and y = -2/5x is written in direct variation.

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Andrew has a four-year college loan for $20,000. The lender charges a simple interest rate of 5 percent. How much interest will
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Given that loan amount P=20000

Interest rate r=5% = 0.05

Time of loan t=4 years

Now to find the interest amount we just plug those values into formula

simple interest = P × r × t

simple interest = 20000* 0.05* 4

simple interest = 1000 * 4

simple interest = 4000

Hence final answer is choice b. $4000.

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Given that m is parallel to n, what must be true of the two lines? Check all that apply.
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Which ordered pairs are solutions to the inequality 4x+y>-6
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Answer:

(-1.5, 0) and (0, -6)

Step-by-step explanation:

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A computer can be classified as either cutting dash edge or ancient. Suppose that 94​% of computers are classified as ancient. ​
taurus [48]

Answer:

(a) 0.8836

(b) 0.6096

(c) 0.3904

Step-by-step explanation:

We are given that a computer can be classified as either cutting dash edge or ancient. Suppose that 94​% of computers are classified as ancient.

(a) <u>Two computers are chosen at random.</u>

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 2 computers

            r = number of success = both 2

           p = probability of success which in our question is % of computers

                  that are classified as ancient, i.e; 0.94

<em>LET X = Number of computers that are classified as ancient​</em>

So, it means X ~ Binom(n=2, p=0.94)

Now, Probability that both computers are ancient is given by = P(X = 2)

       P(X = 2)  = \binom{2}{2}\times 0.94^{2} \times (1-0.94)^{2-2}

                      = 1 \times 0.94^{2} \times 1

                      = 0.8836

(b) <u>Eight computers are chosen at random.</u>

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 computers

            r = number of success = all 8

           p = probability of success which in our question is % of computers

                  that are classified as ancient, i.e; 0.94

<em>LET X = Number of computers that are classified as ancient</em>

So, it means X ~ Binom(n=8, p=0.94)

Now, Probability that all eight computers are ancient is given by = P(X = 8)

       P(X = 8)  = \binom{8}{8}\times 0.94^{8} \times (1-0.94)^{8-8}

                      = 1 \times 0.94^{8} \times 1

                      = 0.6096

(c) <u>Here, also 8 computers are chosen at random.</u>

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 computers

            r = number of success = at least one

           p = probability of success which is now the % of computers

                  that are classified as cutting dash edge, i.e; p = (1 - 0.94) = 0.06

<em>LET X = Number of computers classified as cutting dash edge</em>

So, it means X ~ Binom(n=8, p=0.06)

Now, Probability that at least one of eight randomly selected computers is cutting dash edge is given by = P(X \geq 1)

       P(X \geq 1)  = 1 - P(X = 0)

                      =  1 - \binom{8}{0}\times 0.06^{0} \times (1-0.06)^{8-0}

                      = 1 - [1 \times 1 \times 0.94^{8}]

                      = 1 - 0.94^{8} = 0.3904

Here, the probability that at least one of eight randomly selected computers is cutting dash edge​ is 0.3904 or 39.04%.

For any event to be unusual it's probability is very less such that of less than 5%. Since here the probability is 39.04% which is way higher than 5%.

So, it is not unusual that at least one of eight randomly selected computers is cutting dash edge.

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2 years ago
Langston has $45$ greeting cards. He gives $18$ of the cards to his friends. What percent of his greeting cards does he give to
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Answer:

45-18=27 Greeting cards

Step-by-step explanation:

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3 years ago
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