During a period of 11 years 737737 of the people selected for grand jury duty were​ sampled, and 6868​% of them were immigrants. use the sample data to construct a​ 99% confidence interval estimate of the proportion of grand jury members who were immigrants. given that among the people eligible for jury​ duty, 69.469.4​% of them were​ immigrants, does it appear that the jury selection process was somehow biased against​ immigrants?

Answer:   W(i) = 3.125x^2 − 14.5x + 208.5

Step-by-step explanation:

Answer:

The correct options are B and D.

Step-by-step explanation:

A quadrilateral is called rectangle if the opposite sides are congruent and parallel to each other. All interior angles are right angle and congruent.

To prove that the diagonals of a rectangle are congruent the necessary conditions are

1. Opposite sides of a rectangle are congruent.

2. All right angles are congruent.

Therefore options A and C are necessary conditions. Option A and C are incorrect.

The opposite sides of a rectangle are parallel to each other and two parallel lines never intersect each other.

Therefore the opposite sides are not perpendicular to each other. Option D is correct.

The angle whose measure is more than 90 degree is called an obtuse angle.

Since all interior angles of a rectangle are right angle and congruent, therefore there is no obtuse angle. So, condition B is unnecessary. Option B is correct.

volume = 4/3 x PI x r^3

r = 10/2 =5

V = 4/3 x 3.14 x 5^3 = 523.333

523.3 cubic inches

21 +22+24+10 = 77 total marbles

22 +10 =32 green and yellow marbles

32/77 probability of choosing a green or yellow one

32/77 = 0.416

 answer is C. 0.416

Answer: the graph of g(x) is the graph of f(x) compressed vertically

Step-by-step explanation:

The reciprocal of the complex number 8-3i is found by dividing its complex conjugate (8+3i) by the modulus squared of 8-3i, which is 73. The result is 8/73 + 3i/73.

The reciprocal of a complex number is the complex conjugate of that number divided by the modulus squared of the original number. In the case of the complex number 8-3i, its complex conjugate is 8+3i. To find the reciprocal of 8-3i, you would divide this complex conjugate by the modulus squared of 8-3i.

First, calculate the modulus squared of 8-3i:

Then, divide the complex conjugate by this modulus squared to get the reciprocal:

Reciprocal of 8-3i = (8+3i) / 73 = 8/73 + 3i/73.

Answer: Measure of <ABC=65°.

Step-by-step explanation:

The intercepted arc Theorem says :Angle made on circumference if half the measure of the intercepted arc.

In the given circle measure of arc is 130° The angle intercepted by arc AC is <ABC.

m<ABCwill be equal to Half of measure of arc AC

M<ABC=[tex]\frac{1}{2} of 130=65[/tex]

The other zeros of the polynomial if 3 is a zero is -4 and 1/2

If  x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, then x - 3 is a factor.

To get the other factor we will take the division of the polynomial and the factor to have:

2x^3 + x^2 − 25x + 12/x - 3 = 2x² + 7x - 4

Factorize 2x² + 7x - 4

2x² + 7x - 4 = 0

2x² + 8x - x- 4 = 0

2x(x+4)-1(x+4) = 0

(x+4)(2x-1) = 0

x = -4 and 1/2

Hence the other zeros of the polynomial if 3 is a zero is -4 and 1/2

Learn more here: https://brainly.com/question/16821812

Answer:

The correct option is B) 5, 5, 5, 5, 5 and C) 3, 6, 9, 12, 15  are arithmetic sequences

Step-by-step explanation:

Arithmetic sequence is: a, a+r, a+2r, a+3r, a+4r, ....... where r is common difference

Check part A) 1, 1, 2, 5, 8, 13

In which [tex]a_1=1,\, a_2=1,\,a_3=2,\,a_4=5[/tex]

common difference [tex]d=a_n+1 -a_n[/tex]

[tex]d=a_2 -a_1 =1-1=0 [/tex]

[tex]d=a_3 -a_2 =2-1=1 [/tex]

since common difference is not same

so, sequence 1, 1, 2, 5, 8, 13 is not arithmetic sequences.

Check part B) 5, 5, 5, 5, 5

In which [tex]a_1=5,\, a_2=5,\,a_3=5,\,a_4=5[/tex]

common difference [tex]d=a_n+1 -a_n[/tex]

[tex]d=a_2 -a_1 =5-5=0 [/tex]

[tex]d=a_3 -a_2 =5-5=0 [/tex]

since common difference is same

so, sequence 5, 5, 5, 5, 5  is arithmetic sequences.

Check part C) 3, 6, 9, 12, 15

In which [tex]a_1=3,\, a_2=6,\,a_3=9,\,a_4=12[/tex]

common difference [tex]d=a_n+1 -a_n[/tex]

[tex]d=a_2 -a_1 =6-3=3 [/tex]

[tex]d=a_3 -a_2 =9-6=3 [/tex]

since common difference is same

so, sequence 3, 6, 9, 12, 15  is arithmetic sequences.

Check part D) 2, 4, 8, 16, 32

In which [tex]a_1=2,\, a_2=4,\,a_3=8,\,a_4=16[/tex]

common difference [tex]d=a_n+1 -a_n[/tex]

[tex]d=a_2 -a_1 =4-2=2 [/tex]

[tex]d=a_3 -a_2 =8-4=4 [/tex]

since common difference is not same

so, sequence 2, 4, 8, 16, 32 is not arithmetic sequences.

Therefore, the correct option is B) 5, 5, 5, 5, 5 and C) 3, 6, 9, 12, 15  are arithmetic sequences

Answer:

C.

Step-by-step explanation:

Answer:

42 Inches squared ( hope that helps) ;)

The area of the top of the plate will be 42 inches squared.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

A company makes triangular plates for individual slices of pizza. For each plate, the base is 7 inches and the height is 12 inches.

Then the area of the triangle is given as,

Area = 1/2 x 12 x 7

Area = 6 x 7

Area = 42 square inches

The area of the top of the plate will be 42 inches squared.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

#SPJ6

Answer: C) $140

20 times 3 plus 20

A crew member would earn $140 for catching 40 fish, calculated by adding the base pay of $20 to the additional pay of $3 per fish caught for the total number of fish.

To calculate how much a crew member would earn for catching 40 fish, given that the captain of the fishing boat pays each crew member a base amount of $20 plus an additional $3 per fish caught. To find the total earnings, we use the formula:

Total earnings = Base pay + (Pay per fish × Number of fish caught)

Plugging the given numbers into the formula, we get:

Total earnings = $20 + ($3 × 40)

Total earnings = $20 + $120

Total earnings = $140

Therefore, a crew member would earn $140 for catching 40 fish.

Well... One way you can do this is by testing a set of arrays and see the trend. If I chose to find what y1 is in (100, y1) and what y2 is in (101, y2), I would find the difference between y2 and y1. If y2 - y1 is positive, this means there is a positive relationship and y is also approaching POSITIVE infinity. A negative relation means that it is approaching NEGATIVE infinity. However, it could be approaching a single number like "4" for instance, and you just need to plug in the right number of data sets to make that educated guess.

Formula Example:
5 + 1 / (x + 1) will always approach 5 because "1 / (x + 1) will approach 0".

Hope this helps.

To algebraically find limit of a function as "x" approaches infinity, identify highest degree term, divide by "x", and evaluate the resulting expression.

To algebraically find the limit of a function as x approaches infinity, we can follow the below steps :

(i) Identify the highest degree term: Determine the term with the highest power of x in the function.

(ii) Ignore lower degree terms: If the highest degree term is dominant, ignore lower degree terms and constants.

(iii) Divide by x: Divide every term in the function by x raised to the power of the highest degree.

(iv) Evaluate the limit: Examine the resulting expression as x approaches infinity. If the expression tends to a finite value, that is the limit. If the expression diverges (goes to infinity or negative infinity), then the limit does not exist.

By simplifying the function and observing the behavior of the resulting expression, we can algebraically determine the limit of the function as x approaches infinity.

Learn more about Limit here

https://brainly.com/question/7446469

#SPJ6

Answer:

x=4; in round 4, 16 points will be rewarded

Compound interest on a principal of $600.00 at a rate of 10% per year compounded twice per year over a period of one year results in an accumulated total of $661.50 (principal plus interest).

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

A = P(1 + r/n[tex])^{nt}[/tex]

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

Given:

P = principal (the initial deposit amount) = $600

r = annual interest rate = 10%

n = the number of compounding periods per unit of time = 2

t = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n[tex])^{nt}[/tex]

A = 600.00(1 + 0.1/2[tex])^{(2)(1)}[/tex]

A = 600.00(1 + 0.05[tex])^{(2)}[/tex]

A = $661.50

Therefore, the amount is $661.50.

To learn more about the compound interest rate;

https://brainly.com/question/13307568

#SPJ2

A and B are the same and C is proven wrong due to the equality sign lkeaving only D to be correct

To solve this problem, let us first assign variables. Let us say that:

X = number of marigold plants

Y = number of sunflower plants

n = number of months

We can see that in the given problem, X is decreasing by a percentage, this means that we have to set-up a geometric equation while for Y the decrease is linear so we set-up an arithmetic equation.

Part A.

For marigold plants X, a geometric sequence has a general form of:

X = Xo * (1 + r)^n

where r = -15% = -0.15   (negative since it is decreasing)

Xo = the initial amount of marigold plants = 150

X = 150 * (1 – 0.15)^n

X = 150 (0.85)^n

For the sunflower plants Y, an arithmetic sequence has a general form of:

Y = Yo + d * n

where d = -8 and Yo = 125

Y = 125 – 8 n

Part B. For n = 3

X = 150 (0.85)^3 = 92.12 = 92

Y = 125 – 8 (3) = 101

Part C. From Part B we see that the two values are very far from each other when n = 3, therefore they must be similar when n < 3. So we try n = 2

X = 150 (0.85)^2 = 108.38 = 108

Y = 125 – 8 (2) = 109

Therefore the two plants have approximately similar amount after 2 months.

First, let's factor  3x²-8x+2

Looking at wee can see that the first term is  and the last term is  where the coefficients are 3 and 2 respectively. 

Now multiply the first coefficient 3 and the last coefficient 2 to get 6. Now what two numbers multiply to 6 and add to the middle coefficient -8? Let's list all of the factors of 6: 



Factors of 6: 
1,2,3,6 

-1,-2,-3,-6 ...List the negative factors as well. This will allow us to find all possible combinations 

These factors pair up and multiply to 6 

1*6 
2*3 
(-1)*(-6) 
(-2)*(-3) 

note: remember two negative numbers multiplied together make a positive number 


Now, which of these pairs add to -8? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -8 

None of these pairs of factors add to -8.

So the expression 3x²-8x+2 cannot be factored.

So (x - 2) is NOT a factor of  3x²-8x+2
So the statement is false

Answer:

B.false

Step-by-step explanation:

apexs