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kotykmax [81]
3 years ago
11

Say I have a graph. The points plotted make a straight line, but the textbook did not draw a straight line, they drew dots. Woul

d that make my graph Discrete or Continuous?
Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

A Discrete.

Step-by-step explanation:

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Kenny reads 3/8 page in 3/4 minutes. How many minutes does it take him to read a page?
irga5000 [103]

Answer:

3/4 : 3/8 = 3/4 * 8/3 = 1/4 * 8/1 = 1/1 * 2/1 = 2

3 0
3 years ago
jose invests money in two simple interests account. he invests twice as much in an account paying 13% as he does in an account p
d1i1m1o1n [39]

Answer:

He invested altogether $900

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- Jose invests money in two simple interests account

- He invests twice as much in an account paying 13% as he does in

 an account paying 5%

- That means the amount he invested in the account paying 13% is

  twice the amount he invested in the account paying 5%

- He earns $93.00 in interest in one year from both accounts combined

- We need to find how much he invested in each account

- Assume that he invested $x in the account paying 5%

∵ He invested twice as much in an account paying 13% as he does in

   an account paying 5%

∴ He invested $2x in the account paying 13%

- The simple interest <em>I = PRT</em>, where P is the money invested, R is the

  rate of interest in decimal and t is the time of investment

# <u><em>Account paying 13%</em></u>

∵ P = 2x , R = 13/100 = 0.13 , T = 1

∴ I = 2x(0.13)(1)

∴ I = 0.26 x ⇒ (1)

# <u><em>Account paying 5%</em></u>

∵ P = x , R = 5/100 = 0.05 , T = 1

∴ I = x(0.05)(1)

∴ I = 0.05 x ⇒ (2)

∵ He earns $93.00 in interest in one year from both accounts

- Add (1) and (2) and equate the sum by 93.00

∴ 0.26 x + 0.05 x = 93.00

- Add like terms in the left hand side

∴ 0.31 x = 93.00

- Divide both sides by 0.31

∴ x = 300

∴ 2x = 2(300)

∴ 2x = 600

∵ x represents the amount of money invested in the account paying 5%

∴ <em>The amount of money invested in the account of 5% is $300</em>

∴ <em>The amount of money invested in the account of 13% is $600</em>

- The total amount of money he invested is the sum of the money

  he invested in each account [$300 + $600 = $900]

∴ He invested altogether $900

7 0
3 years ago
The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency
choli [55]

Answer:

a) 0.98% probability that 17 of the 29 people are men.

b) 3.86% probability that the first woman is reached on the 8th call

Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

(a) What is the probability that 17 of the 29 people are men?

This is P(X = 17) when n = 29, p = 0.78. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098

0.98% probability that 17 of the 29 people are men.

(b) What is the probability that the first woman is reached on the 8th call?

On the first 7 trials, all men, each with a 78% probability.

On the 8th trial, a women, with a 22% probability. So

P = (0.78)^{7}*0.22 = 0.0386

3.86% probability that the first woman is reached on the 8th call

4 0
3 years ago
Solve the following equation by completing the square. x2-18x+78=0
densk [106]
The answer is 10.73 btw hope this helps
7 0
3 years ago
Solve the inequality<br> 2(4+2x)25x+5<br> 0 X5-2<br> O x2-2<br> O x3<br> O X23
Sveta_85 [38]
If you’re simplifying it’s 100x^2+200x+5
3 0
3 years ago
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