A rectangle has an area of 15/100 square unit. The length of the rectangle is 3/10 unit. What is the width of the rectangle?

In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go

Licemer1 [7]

Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259

Step-by-step explanation: Confidence interval for a proportion in one sample is the estimate of the proportion of a population. It is calculated following the next steps:

1) Find the proportion $p=\frac{x}{n}$ , in which x is the number of people with the desired condition. In our case, p=0.9;

2) Calculate margin of error, i.e.:

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

z is z-score, which for a 95% confidence, equals 1.96;

Substituting with the data given:

$1.96(\sqrt{\frac{0.9(1-0.9)}{514}})$ = 0.0259

3) Write: p ± $z\sqrt{\frac{p(1-p)}{n}}$

In our case, the interval will be 0.9 ± 0.0259.

Margin of error is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259

7 0

3 years ago

Solve the linear equation x+3+x-8+x=55

babymother [125]

Answer:

X= 20

Step-by-step explanation:

X+X+X+3-8 = 55 (Place Like terms together)

3x - 5 = 55 (Simplifying Like terms by adding and subtracting)

3x = 55+5 ( Move -5 towards Right hand side of equal as there is 55 which is like term of -5 and if we move any number or value from one side of equal towards other the sign of that value would change)

3x = 60

X= 60/3 ( Move 3 toward others side as there is like term of 3 which is 60 but as on Left hand side of equal sign 3 is multiplying with "X" so when we move any number or value toward other side the operation or sign of that value or number would be change, Multiply change into Divide and vice versa and Add change into subtraction and vice versa)

X= 20

4 0

3 years ago

a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution

Sloan [31]

Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

.

Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

$P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}$

where k is the number of non-conforming units on the sample of n=4.

We can calculate the probability of getting no non-conforming units (k=0) as:

$P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25$

We can calculate the probability of getting one non-conforming units (k=1) as:

$P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51$

5 0

3 years ago

Help? I'm not exactly sure how to do this :/

uranmaximum [27]

What you do is plug the z value (first column) into the formula (second column), and solve for y. For instance, the first one would be y = -1-2, or -3. The x would be the x in the ordered pair, and the final ordered pair would be (-1,-3). Make sense?

6 0

2 years ago

Which of the following is E ∪ F?

vesna_86 [32]

For E the answer is 2. Because the square of 1 is one and 9 is three. And 2 to the square root of two which would be 2 time 2= 4

5 0

3 years ago