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3 years ago

What’s x-b divided by a= c.. for b

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

$x-b:a=c\qquad|-x\\\\-\dfrac{b}{a}=c-x\qquad|\cdot(-a)\\\\b=-a(c-x)\\\\b=-ac-a(-x)\\\\\boxed{b=ax-ac}$

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The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent

Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. $n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation,

E = Margin of error .

z* = Critical value

2. $n=p(1-p)(\dfrac{z^*}{E})^2$ , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

$n=0.25(\dfrac{z^*}{E})^2$

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

$n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2$

$n=0.21(0.79)(65.3333)^2$

$n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709$ [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0

3 years ago

What can you say about the discriminant of quadratic equations whose roots are irrational?

Schach [20]

If the roots are irrational the discriminants arent a perfect squre

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3 years ago

Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter, she prepared an envelope with its corre

Ad libitum [116K]

Answer:

1/3 is the answer.

Step-by-step explanation:

Tanya prepared 4 different letters to be sent to 4 different addresses.

To solve this we can do the following:

The probability that the 1st letter is in the right envelope is = $\frac{1}{4}$

The probability that the 2nd letter is in the wrong envelope is = $\frac{2}{3}$

The probability that the 3rd letter is in the wrong envelope is = $\frac{1}{2}$

The probability that the 4th letter is in the wrong envelope is = 1

So, the answer becomes: $\frac{1}{4}\times \frac{2}{3}\times \frac{1}{2}\times1$ = $\frac{1}{12}$

As we need 4 correct letters in the envelope, we will multiply by 4:

$\frac{1}{12}\times4=\frac{1}{3}$

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3 years ago

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Llana [10]

Answer:

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

What is the least common multiple of 26 and 39?

GuDViN [60]

Answer:

Step-by-step explanation:

Find the prime factorizations of the two numbers:

26 = 2 * 13

39 = 3 * 13

The LCM is the product of common and not common factors with the higher exponent.

LCM = 2 * 3 * 13 = 78

Answer: 78

5 0

3 years ago