Write the inequality that represents the solution set for −23/17y<12/7.

Among many other pieces of information, the U.S. Census Bureau records the race or ethnicity of the residents of every county in

hram777 [196]

Answer:

The diversity index is 0.335 or 33.5%

Step-by-step explanation:

Probability index= probability that two people chosen at random are different ethnicity or races.

Let the probability of picking black = p(B) =0.15

probability of picking white= p(W)= 0.8

probability of picking Asian= p(A)=0.05

The probability of picking two people who are of different races or ethnicity can be gotten as:

Probability of picking: (White & Black) OR (White & Asian) OR (Black &Asian) OR (black &white) OR (Asian&white) OR (Asian& Black).

Using the notations given earlier, we can write the diversity index as:

Diversity index=p(W) x p(B)+ p(W) x p(A)+ p(B) x p(A) +p(B) x p(W)+ p(A) x p(W)+ p(A) x p(B)

Fixing the values for each term in the last expression gives:

Diversity index= 0.8x0.15 +0.8x0.05+ 0.15x0.05 +0.15x0.8+ 0.05x0.8+0.05x0.15

Diversity index= 0.12+0.04+0.0075+ 0.12+0.04+0.0075

Diversity index= 0.335 or 33.5%

Hence the diversity index is 0.335 or 33.5%

3 0

4 years ago

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A.

andre [41]

Answer:

C

Step-by-step explanation:

Given:

Number of samples, n = 100

let number of sample that favoured candidate A be x = 80

probability, p' = x/n = 80/100 = 0.8

probability, p for significance = 75% = 0.75

Using Z-proportion test statistics, we have

Z = $(p' - p)/\sqrt{p(1 - p)/n}$

Substituting the values, we have

Z = $(0.8 - 0.75)/\sqrt{0.75(1 - 0.75)/100}$

Z = 0.05 / 0.0433 = 1.1547

The p-value is

P(Z>1.1547) = 1 - P(Z≤1.1547)

Checking the Z-score table, P(Z≤1.1547) = 0.8789

Hence, we have 1 - 0.8789

= 0.1241

Hence, the p-value is greater than 0.05, so we cannot say it is very significant.

Hence, the population in favour of candidate A is not significantly greater than 75%

6 0

4 years ago

Use a change of variables to find the indefinite integral xe^(x^2) dx

ValentinkaMS [17]

$\displaystyle\int xe^{x^2}\,\mathrm dx=\frac12\int2xe^{x^2}\,\mathrm dx$

If we take $y=x^2$ , then $\mathrm dy=2x\,\mathrm dx$ , and we can write the above integral as

$\displaystyle\frac12\int e^y\,\mathrm dy=\frac12e^y+C$

and undoing the substitution, we end up with

$\displaystyle\int xe^{x^2}\,\mathrm dx=\frac12e^{x^2}+C$

3 0

3 years ago

Noah has a coupon for 30% off at his favorite clothing store . He uses it to buy a hoodie . The regular price of a hoodie is $27

eimsori [14]

Answer:

$18.90

Step-by-step explanation:

The way to do percentages is actually pretty easy.

since it's taking 30% of you are left with 70%. Take 70 and divide it by 100. This gives you .70

Now what you do is you take the price of the time and multiply it by the .70

So 27.00 * .7 = 18.90

So Noah paid 18.90

5 0

3 years ago

Identify an equation in point slope form for the line perpendicular to y = -1/3 x - 6 that passes through (-1,5)

MakcuM [25]

Answer:

y + 1 = 3(x - 5) Answer

Step-by-step explanation:

Find the slope of the perpendicular line.

m1 * m2 = - 1

m1 = - 1/3

m2 is the slope of the perpendicular

(-1/3) * m2 = - 1 Multiply both sides by -3

-(3)(-1/3) * m2 = -1 * -3

m2 = 3

The slope of the perpendicular line is 3

Find the equation of the line.

m = (y - y1)/(x -x1)

y - y1 = m(x - x1) is the equation of the line.

y1 =5

x1 = - 1

(y - - 1) = 3(x - 5)

y + 1 = 3(x - 5) Answer

7 0

4 years ago