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2 years ago

Solve 4x-c=k for x ?

Mathematics

2 answers:

Musya8 [376]2 years ago

5 0

Answer: x=k+c/4

Step-by-step explanation:

4x-c=k

Add c to both sides.

4x=k+c

Divide both sides by 4.

x=k+c/4

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

Sergio039 [100]2 years ago

3 0

$4x - c = k\\4x = c + k\\x = c + k over 4$

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The national electrical code allows a maximum voltage drop of 3% on branch circuits. What is the maximum allowable drop on a 240

Andre45 [30]

Answer:

7.2 volts

Step-by-step explanation:

3% of 240 is ...

0.03 × 240 = 3 × 2.40 = 7.20

The maximum allowable drop on a 240-volt circuit is 7.2 volts.

7 0

2 years ago

Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visi

s2008m [1.1K]

Answer:

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 603, \pi = \frac{142}{603} = 0.2355$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694$

The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)

7 0

1 year ago

A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. 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.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

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

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

7 0

1 year ago

Identify the percent of change as increase or decrease then find the percent of change round to the nearest tenth of a percent (

morpeh [17]

Hello,

Here is the first answer:

The answer is "16.6 or 17%".

Reason:

636 x 100% = 16.6666666667%

Here is your second answer:

The answer is "50%".

Reason:

36 x 100% = 50%

Here is your third answer:

The answer is "43.3 or 43%".

Reason:

52120 x 100% = 43.3333333333%

Here is your fourth answer:

The answer is "328.5 or 329%".

Reason:

11535 x 100% = 328.5714285714%

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

7 0

2 years ago

Solve z3+3z2−25z−75=0 .

Basile [38]

z^3 + 3z^2 -25z - 75 = 0
Factor out common terms in the first two terms, then in the last two terms
z^2(z+3)−25(z+3)=0
Factor out the common term z+3
(z+3)(z^2−25)=0
Ask: When will (z+3)(z^2−25) equal zero?
When z+3=0 or z^2−25=0
Solve each of the 2 equations above
z=−3,±5

Hope this helps

3 0

2 years ago