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3 years ago

8

Solve for x in this fractional equation problem

1 answer:

Elan Coil [88]3 years ago

8 0

$x = \frac{10}{3} x = - 7$

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What does y=1\4X-5 equal

Tema [17]

Answer:

y= -5/4

Step-by-step explanation:

download a app called math papa. it's a great cheat cheat for these types of problems

8 0

3 years ago

20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

Sladkaya [172]

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that $p = 0.13$

14 drivers are stopped

This means that $n = 14$

(a) None will have an invalid license.

This is $P(X = 0)$

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

$P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423$

(b) Exactly one will have an invalid license.

This is $P(X = 1)$

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

$P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977$

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56$

8 0

3 years ago

During second period, Kiera completed a grammar worksheet. Of the 90 questions, she got 70% right. How many questions did Kiera

ANEK [815]

Answer:

we conclude that Kiera got the right 63 questions.

Step-by-step explanation:

Total questions = 90

The percentage of correct question = 70%

Using the formula

The number of correct questions = 70% of 90

= [70/100] × 90

= 0.7 × 90

= 63

Therefore, we conclude that Kiera got the right 63 questions.

7 0

3 years ago

C-0.2c<br> Which other expression could Kelly use to calculate her cost before sales tax?

goldenfox [79]

Answer:

C - (C/100x20)

Step-by-step explanation:

Cost minus the tax

the tax is 20 percent therefore cost divided by 100 times 20

4 0

4 years ago

Trina lives 4.2 miles from her school.richard lives 0.75 times this distance how far from the school does Richard live

Effectus [21]

Answer:

Step-by-step explanation:

The distance from house to school = 4.2 * 0.75

= 3.15 miles

7 0

3 years ago

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