help i need help with the question

If 10% of the registered voters in a small city are called for jury duty in a particular calendar year, then the probability of any one registered voter being called is 0.1 or 10%.

Since people are selected for jury duty at random, the selection process does not favor any one individual over another. Furthermore, the rule that the same individual cannot be called more than once during the calendar year ensures that everyone has an equal chance of being selected.

Suppose there are 1000 registered voters in the city. Then, 100 of them will be called for jury duty in that calendar year. If a person is not called in a given year, they still have a chance of being called in subsequent years.

Overall, the selection process for jury duty in this city is fair and ensures that all registered voters have an equal opportunity to serve on a jury.

Learn more about probability here,

https://brainly.com/question/10734660

#SPJ11

Answer:

x = 90° + 180° × n, for all integers, n

Step-by-step explanation:

(sin x - 1)(sin x + 1) = 0

sin x = 1  or sin x = -1

The sine function has value 1 at 90° and all coterminal angles.

The sine function has value -1 at 270° and all coterminal angles.

Answer: x = 90° + 180° × n, for all integers, n

Answer:

it's c

Step-by-step explanation:

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS. Then the correct option is D.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. In daily speech, a line segment with two points designating its endpoints is also referred to as a line.

The line is shown below.

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

The probability associated with obtaining a particular value of z is referred to as its statistical probability or simply its probability. It represents the likelihood of observing a specific value of z in a given statistical distribution.

The probability of a specific value of z can be calculated using various statistical methods, depending on the distribution being considered. In statistics, z represents a standard score or a z-score. It is a measure of how many standard deviations a particular value is away from the mean of a distribution. The probability associated with a specific value of z is determined by the characteristics of the distribution, such as its shape, mean, and standard deviation. Different distributions, such as the normal distribution or the t-distribution, have different methods for calculating probabilities associated with specific values of z.

The probability associated with a particular value of z can be useful in hypothesis testing, confidence interval estimation, or determining the likelihood of an event occurring. By understanding the probability distribution of z-values, statisticians can make informed decisions and draw conclusions based on data analysis.

Learn more about standard deviations here: https://brainly.com/question/29115611

#SPJ11

Answer:

Work shown below!

Step-by-step explanation:

White bead = \(\frac{5}{15} =\frac{1}{3}\)

Answer:

a 33.3333333% chance

Step-by-step explanation:

we do 7+3+5= 15 (the denominator)

and so the amount of white beads in total is 5/15

5÷15+100= 33.333333333 and so on percent

Answer:

\( x = \frac{3}{2} \)

Step-by-step explanation:

\( = > \frac{x}{4} = \frac{3}{8} \\ \\ = > x = \frac{3}{8} \times 4 \\ \\ = > x = \frac{3}{2} \)

Answer: the answer is 1

Step-by-step explanation:

so we do Straight multiplication and I mean

1 x 7 (the numerators) which gives us 7

the denominator which is 7 x 1= 7

now we have the fraction 7/7 now we divide which gives us 1

Answer:

8/12

Step-by-step explanation:

1 4/12 + 8/12 = 2

4/12 + 8/12 = 1

1 + 1 = 2

The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

for such more question on coordinates

https://brainly.com/question/30107320

#SPJ8

Step-by-step explanation:

(3 x 10^5) x (4 x 10^2) =

(3×4) × 10^(5+2) =

12 × 10^7 or

1,2 × 10^8

Answer:

\({ \tt{(3 \times {10}^{5} ) \times (4 \times {10}^{2}) }} \\ \\ = { \tt{(3 \times 4) \times (10 {}^{5} \times {10}^{2} )}} \\ \\ = { \tt{12 \times {10}^{(5 + 2)} }} \\ \\ = { \tt{12 \times {10}^{7} }} \\ \\ { \boxed{ \tt{120000000}}}\)

Answer:

0.51 ,8/9, 3/5

Step-by-step explanation:

that is pretty self explanatory, i hope that helps!

The three possibilities that Damon can use as the common factor for equivalent expression are y(5xz + 3z + 2x), z(5xy + 3y + 2x) and  xy(5z + 3 + 2z).

To discover a common figure for 60xyz+36yz+24xy, we have to be discover the Greatest Common Factor (GCF) of the coefficients 60, 36, and 24, and the factors x, y, and z.

The GCF of the coefficients 60, 36, and 24 is 12. Able to calculate out 12 from each term:

60xyz+36yz+24xy = 12(5xyz + 3yz + 2xy)

Presently, we ought to discover a common calculate for the remaining components, 5xyz + 3yz + 2xy. Here are three conceivable outcomes:

Calculate out y:

5xyz + 3yz + 2xy = y(5xz + 3z + 2x)

Calculate out z:

5xyz + 3yz + 2xy = z(5xy + 3y + 2x)

Calculate out xy:

5xyz + 3yz + 2xy = xy(5z + 3 + 2z)

So, Damon may utilize any of these three conceivable outcomes as the common calculate for an proportionate expression.

Learn more about  common factor here: https://brainly.com/question/25266622

#SPJ1

Answer:

$43,200

Step-by-step explanation:

The amount of money you make a year depends on various factors, such as your monthly expenses, debt obligations, and tax liabilities.

To get a rough estimate of your annual income based on the range of affordable rent provided, you can use the rule of thumb that suggests spending no more than 30% of your gross income on housing expenses. Assuming you are willing to spend between $900 and $1080 per month on rent, we can calculate the range of annual incomes that would allow you to meet this guideline:

$900/month rent x 12 months = $10,800/year rent

$10,800/year rent / 0.3 = $36,000/year gross income

$1080/month rent x 12 months = $12,960/year rent

$12,960/year rent / 0.3 = $43,200/year gross income

Therefore, based on the assumption that you can afford rent between $900 and $1080 per month, your estimated annual gross income would need to be in the range of $36,000 to $43,200. However, this is only a rough estimate and may not take into account all of your individual financial circumstances.

Failure to include some units, or entire portions, of the defined survey population in the actual operational sample frame represents: a noncoverage error.

One of the components of coverage error that results from a flawed sample frame that excludes a certain percentage of the population is noncoverage.

Sampling errors need to be controlled and reduced to a level at which their presence does not defeat or obliterate the usefulness of the final sample results.

The difference between the observed values of a variable and the long-run average of the observed values in repetitions of the measurement is the sampling error.

Noncoverage, another word for these frames, inadequate coverage is also known as undercoverage.

Sampling errors can be decreased by increasing the sample size.

To learn more about noncoverage error click here:  

https://brainly.com/question/24304697

#SPJ4

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Answer:

Step-by-step explanation: D is correct

Answer:

\(G(17) \approx 1.782\)

Step-by-step explanation:

Let \(\frac{dG}{dt} = t^{-1/2}\) and \(G(3) = -3\), we proceed to find \(G(t)\) by integrating \(\frac{dG}{dt}\) in time:

\(G(t) = \int {t^{-1/2}} \, dt\)

\(G(t) = \frac{t^{1/2}}{\frac{1}{2} } + C\)

\(G(t) = 2\cdot t^{1/2} + C\) (1)

Where \(C\) is the constant of integration. If we know that \(t = 3\) and \(G(3) = -3\), then the constant of integration:

\(-3 = 2\cdot 3^{1/2} + C\)

\(C = -6.464\)  

The resultant function is \(G(t) = 2\cdot t^{1/2} -6.464\).

Lastly, we evaluate this function at \(t = 17\):

\(G(17) = 2\cdot 17^{1/2}-6.464\)

\(G(17) \approx 1.782\)

Answer:

x=10

Step-by-step explanation:

10-6 is equal to 4. The absolute value of 10 is 10. Therefore, x=10. Brainliest?

Answer: perimeter

Step-by-step explanation:

It will take 1.5 minutes to boil half liter of water .

Given,

Electric kettle take 3 minutes to boil a liter of water.

Now,

1 liter of water boils in 3 minutes .

so,

1 liter ⇒ boils in 3 minutes

1/2 liter ⇒ boils in 3/2 minutes

Thus,

1/2 liter boils in 1.5 minutes in an electric kettle .

Know  more about unitary method,

https://brainly.com/question/28276953

#SPJ4

Answer:

None

Step-by-step explanation:

We can eliminate the x's by add the 2 equations :

2y = 18

Divide both sides by 2 :

y = 9

Substitute this value into equation 1 to solve for x :

-3x + (9) = 6

Subtract 9 from both sides :

-3x = -3

Divide both sides by -3 :

x = 1

Substitute these values into equation 2 to check :

-3(1) + 6 = 12 ❌❌

So it has no solution

Step-by-step explanation:

Change 27 to 3^3, and change 9 to 3^2 to get:

\( { ({3}^{3} )}^{x} = { ({3}^{2}) }^{x - 4} \)

Multiply the exponents according to exponential rules:

\( {3}^{(3x)} = {3}^{(2x - 8)} \)

Same bases, so set exponents equal to each other:

\(3x = 2x - 8\)

Subtract 2x on both sides to get:

\(x = - 8\)

The formula that represents the volume of water in the tank in terms of the number of minutes since the water began draining is v = 40 - 1.5t.

This can be seen by realizing that the volume of water in the tank decreases by 1.5 gallons per minute, so after t minutes the volume will be 40 - 1.5t. The graph of this formula is a straight line with a slope of -1.5 and an intercept of 40. This means that the graph starts at the point (0,40), which represents a tank that is full of water, and decreases linearly as the number of minutes increases.

The statement "The graph of v in terms of t represents all possible values of v and t" is true. This is because the formula v = 40 - 1.5t is defined for all possible values of t, and the graph of this formula includes all possible pairs of (v, t) values that satisfy the formula.

The statement "The point (7.5,35.75) conveys that when the tank has been draining for 7.5 minutes, it has 35.75 gallons of water remaining" is false. This is because the point (7.5,35.75) does not lie on the graph of the equation v = 40 - 1.5t. The correct point on the graph that represents the volume of water in the tank after 7.5 minutes would be (7.5,26.25), which can be found by substituting t = 7.5 into the equation v = 40 - 1.5t.

Learn more about equation at:

brainly.com/question/26310043

#SPJ4

If tanθ=3​/4 and cosθ>0, then sinθ  =  3/4 and cosθ = 1.

Given that tanθ = 3/4 and cosθ > 0, we will use trigonometric identities to discover sinθ and cosθ.

We understand that tanθ = sinθ/cosθ. So, we've:

3/4 = sinθ/cosθ

To locate sinθ and cosθ, we are able to use the Pythagorean identification: sin²θ + cos²θ = 1.

From the given information, we recognize that cosθ > zero. In the primary quadrant of the unit circle, both sinθ and cosθ are high-quality.

Now, permit's remedy for cosθ:

Using the Pythagorean identity: sin²θ + cos²θ = 1

sin²θ + (cosθ)² = 1

(sinθ/cosθ)² + (cosθ)² = 1

(sin²θ + cos²θ) / (cos²θ) = 1

1 / (cos²θ) = 1

cos²θ = 1

cosθ = ±1

Since we recognize that cosθ > zero, we take the high quality fee:

cosθ = 1

Now, let's remedy for sinθ:

Using the equation: 3/4 = sinθ/cosθ

3/4 = sinθ/1

sinθ = 3/4

Therefore, in this case:

sinθ = 3/4

cosθ = 1

Read more about Pythagorean identity at:

https://brainly.com/question/24287773

Answer:

length = 15 in

Step-by-step explanation:

length = √225 = 15 in

Answer:

34 unit squared

Step-by-step explanation:

4*12 then divide 2

4*5 then divide by 2

add two values together and get 34

Answer:

24

Step-by-step explanation:

A=bh x (1/2)

base times height divided by two

The given statement is FALSE. The determinant of the sum of two matrices does not equal the sum of the determinants of the matrices.

In fact, the determinant of the sum of two matrices is generally not even equal to the sum of the determinants of the matrices.
This property does not hold true for determinants. In general, the determinant of the sum of two matrices A and B

(det(A+B)) is not equal to the sum of their individual determinants (det(A) + det(B)).

learn more about determinants:https://brainly.com/question/16981628

#SPJ11

The simplified expressions and their excluded values :

Simplification calls for factorization and collecting like terms :

= 4 / (w² + 4w)

= 4 / (w ( w + 4))

Excluded value for this expression is w = 0

= ( 3a + 15) / ( a² - 25)

= 3 (a + 5) / ( ( a - 5) (a + 5))

= 3 / (a - 5)

Excluded value for this expression is a = 5.

= ( 4 n² - 256) / ( 8 - n)

= 4 ( n² - 64) / (8 - n)

= 4 (n - 8) (n + 8) / (8 - n)

= 4(n + 8) / 1

= 4 ( n + 8)

Excluded value for this expression is n = 8.

Find out more on simplifying expressions at https://brainly.com/question/6243722

#SPJ1

All your answers are correct already.

However, an equation has an Equal sign in it so I think you might want to think about what you have for equation.

Hope this helps and have a nice day.

-R3TR0 Z3R0

You did it! I suppose check the equal sign like said in the "other answer" but other than that, you did a great job! Pat yourself on the back and get yourself a cookie or something. Also possibly maybe make brainliest if you want... if i get one more I get ~Virtuoso~