in a sampke of 1100 us adults 209 think the most celebrities are good role models. Two U.S adults are selected from this samole without replacement complete parts (a) through c

The equation 3x - y = - 1; - 3x - y = 5 when solved using the elimination method is x = -1 and y = -2 respectively.

3x - y = - 1

- 3x - y = 5

Subtract the equation to eliminate y

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

3x + 3x = - 6

6x = - 6

divide both sides by 6

x = -6 / 6

x = -1

Substitute x = -1 into

3x - y = - 1

3(-1) - y = -1

-3 - y = - 1

- y = - 1 + 3

-y = 2

y = -2

Therefore, the solution to the simultaneous equation is (x, y) = (-1, -2)

Read more on elimination method:

https://brainly.com/question/25427192

#SPJ1

Answer:

987

Step-by-step explanation:



57√56259= 987

Answer:

987

Step-by-step explanation:

56259 ÷ 57 = 987

1.6982 is the actress  age is more extreme when winning the​ award, the actor or the​ actress .

What does "z-score" mean?

The Z-score provides information on how far a given value deviates from the standard deviation. The amount of standard deviations a given data point is above or below the mean is represented by the Z-score, also known as the standard score.

                        Essentially, standard deviation is a measure of the degree of variability within a given data collection.

Z score for actor =   ( 37 - 45.2 )/8.3

                    = - 0.9879

Z score for actress =  ( 52 - 32.3 )/11.6

                               =  1.6982

since   I - 0.9879 l <   l 1.6982 l , the actress  age is more extreeme .

Learn more about Z-score

brainly.com/question/15016913

#SPJ1

The given geometry of the figure does not show any of the options, so option D is correct.

A polygon with three vertices and three sides is called a triangle. The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180 degrees.

Given a ΔSTU

a line from point  T intersects at SU at point V and divides SU, given SV is 60 units and UV is 42 units.

The line TV is not a median, because a median divides the side into two equal halves, and the figure does not have  SV equal to UV.

The line TV is not an attitude because the figure has not specified the angle of V in line SU, if given that the ∠TVU = ∠TVS = 90° then TV will be called altitude.

The line is not a perpendicular bisector because The line segment drawn from a vertex to the opposite side of a triangle, bisecting that side at a right angle, is known as the perpendicular bisector of the triangle.

Hence option D is correct.

Learn more about triangles;

brainly.com/question/2773823

#SPJ1

Answer: multiples of 4 are -4,8,12,16,20,24,28,32,36,40,44,48,52

Step-by-step explanation:

4x1=4

4x2=8

4x3=12

4x4=16

4x5=20

4x6=24

4x7=28

4x8=32

4x9=36

4x10=40

4x11=44

4x12=48

4x13=52

Answer:

208

Step-by-step explanation:

52×4=208

The factors of the expression 16x²+40x-39 are (4x-3)(4x+13).

The factors are the polynomials which are multiplied to produce the original polynomial.

A) 4x+4x-35

= 8x-35

C) 4x²+20x-11

= 4x²+22x-2x-11

= 2x(2x+11)-1(2x+11)

= (2x+11)(2x-1)

E) 4x²+12x-16

= 4x²+16x-4x-16

= 4x(x+4)-4(x+4)

= (4x-4)(x+4)

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

G) 16x⁷+24x-40

= 8(2x⁷+3x-5)

I) 25x+10x-48

= 35x-48

J) 16x²+40x-39

= 16x²-12x+52x-39

= 4x(4x-3)+13(4x-3)

= (4x-3)(4x+13)

Therefore, the factors of the expression 16x²+40x-39 are (4x-3)(4x+13).

To learn more about the factorisation of polynomial visit:

https://brainly.com/question/16789195.

#SPJ1

Answer:

We can use the formula for conditional probability to find the probability that Mark makes both goals:

P(A and B) = P(A) * P(B | A)

We know that:

P(A) = 0.55 (the probability that Mark makes a goal on his first attempt)

P(B | A) = 0.80 (the probability that Mark makes a goal on his second attempt given that he made the first goal)

So:

P(A and B) = 0.55 * 0.80 = 0.44

Therefore, the probability that Mark makes both goals is 0.44.

Answer: The total amount Jennifer will owe to the bank on January 31st is $3,458.75

Step-by-step explanation: In September, Jennifer Rick went to Park Bank to borrow $2,500 at 11.75% interest for 4 months. As this loan is a simple interest loan calculated monthly, we need to calculate the total amount she will owe to the bank on January 31st.

We use the formula for simple interest which is:

Interest = Principal x Interest rate x Time

Interest = $2,500 x 11.75/100 x 4/12 = $958.75 (rounding to the nearest cent)

Now we can add the interest to the principal amount to get the total amount that Jennifer will owe to the bank on January 31st.

Total amount = Principal + Interest

Total amount = $2,500 + $958.75 = $3,458.75 (rounding to the nearest cent)

So, the total amount Jennifer will owe to the bank on January 31st is $3,458.75

The number of seats in the first, second and third aircraft are 561 seats,  497 seats and 842 seats respectively

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Let F, S and T represent number of seats in the first, second and third aircraft respectively

We can set up three equations to represent the situation:

F = 64 + S   --- (1)

T = 2S - 152 --- (2)

F + S + T = 1900 --- (3)

Put (1) and (2) in (3):

F + S + T = 1900

(64 + S) + S + (2S - 152) = 1900

64 + S + S + 2S - 152 = 1900

4S - 88 = 1900

4S = 1900 + 88

4S = 1988

S = 1988/4

S = 497 seats

F = 64 + S

F = 64 + 497 = 561 seats

F + S + T = 1900

561 + 497 + T = 1900

1058 + T = 1900

T = 1900 -1058 = 842 seats

Learn more about word problems on:

brainly.com/question/1781657

#SPJ1

The required cost of the construction of a 4.5-inch tower is the amount of $114.75.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The cost of construction is $25.50 per inch.

We have to determine the amount it costs to fund 4.5 inches of the construction.

As per the question, we have

The cost of construction is $25.50 per inch.

The cost of 4.5 inches of construction would be:

= 25.50 × 4.5

Apply the multiplication operation, and we get

= $114.75.

Thus, the required cost of the construction is $114.75.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ1

Answer:

We can use the tangent function to solve for the height of the tower. The tangent of an angle is the ratio of the opposite side to the adjacent side in a right triangle.

First, we'll find the opposite side (the height of the tower) using the angle of elevation:

tan(21°) = opposite / 300

opposite = 300 * tan(21°)

Then we'll find the opposite side (the depth of the base of the tower below the window) using the angle of depression:

tan(20°) = opposite / 300

opposite = 300 * tan(20°)

Now we can add the two opposite sides we found to get the total height of the tower

height = opposite(elevation) + opposite(depression)

height = 300 * tan(21°) + 300 * tan(20°)

The angle should be converted to radians before using the tangent function, and the final answer should be rounded to 2 decimal places.

Step-by-step explanation:

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36. Therefore, option A is the correct answer.

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

The standard form for finding the equation of a circle is expressed as;

(x-a)²+ (y-b)² =r²

Where; (a, b) is the center of the circle and r is the radius of the circle

Given that, diameter = 12 units

So, radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have (x-0)² + (y-3)² = 6² equivalent to x²+ (y-3)² = 36

Therefore, option A is the correct answer.

To learn more about an equation of a circle visit:

https://brainly.com/question/23799314.

#SPJ1

Answer:

The circumference of a tire can be found by using the formula C = πd, where C is the circumference, and d is the diameter.

For the old bicycle with 12 inch diameter tires, the circumference is:

C = π * 12 = 12 * π inches

For the new bicycle with 16 inch diameter tires, the circumference is:

C = π * 16 = 16 * π inches

To find the difference in the circumference of the tires, we subtract the circumference of the old tire from the circumference of the new tire:

16π - 12π = 4π inches

So the difference in the circumference of the two tires is 4π inches.

It's around 12.56 inches.

The system of inequalities y > x + 2 and y < x - 3. when solved will not have solutions

When the graphs meet at a point, a system of linear equations has just one solution.

No solution, When the graphs are parallel, a system of linear equations cannot have a solution.

examining the system of linear equations y > x + 2 and y < x - 3, the slope of the two linear functions are equal with a value of 1.

Because of this, the equations will not intersect and the lines are said to be parallel and no solution expected

Learn more about linear equation at:

https://brainly.com/question/2030026

#SPJ1

Marco pays $1008  for for his credit card, groceries, and rent.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Marco budgets $1,600 a month for expenses.

According to the graph he pays 4% of credit card

Now let us find 4% of 1600

4/100×1600

0.04×1600

$64 Marco pays for credit card.

From graph, he pays 17% for groceries

17% of 1600

17/100×1600

0.17×1600=$272

$272 Marco pays for Groceries.

From graph, he pays 42% for rent

42/100×1600

0.42×1600=672

$672 Marco pays for Rent.

Hence, Marco pays $1008  for for his credit card, groceries, and rent.

To learn more on Percentage click:

brainly.com/question/28269290

#SPJ1

[tex]\textit{Horizontal Range}\\\\ R=\cfrac{(v_0)^2\cdot \sin(2\theta )}{g} ~~ \begin{cases} v_o=\textit{initial velocity}\\ \theta =\textit{initial angle}\\ g=gravity\\[-0.5em] \hrulefill\\ v_o=100\\ \theta =45^o\\ g\approx 32~\frac{ft}{s^2} \end{cases}\implies R\approx\cfrac{(100)^2 \sin(2\cdot 45^o)}{32} \\\\\\ R\approx\cfrac{10000\sin(90^o)}{32}\implies R\approx\cfrac{10000(1)}{32}\implies R\approx 312.5~ft[/tex]

Answer:

Step-by-step explanation:

242424

The side of the square in terms of the perimeter is P/4.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

P = 4s

Where s is the side of the square and P is the perimeter of the square.

Now,

The side of the square.

P = 4s

Divide 4 into both sides.

s = P/4

Thus,

The side of the square is P/4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The angles in the parallelogram are as calculated below

A parallelogram is a quadrilateral with opposite sides parallel. This means that both pairs of opposite sides are parallel and of equal length. The opposite angles of a parallelogram are also equal in measure.

m ∠BEA = 60° (alternate angles)

m ∠BAE = 42° (alternate angles)

m ∠DAE = 40° (alternate angles)

m ∠ABE = 180 - m ∠BEA - m ∠BAE = 78° (angle in a triangle)

m ∠CBE = 78° (vertically opposite angles)

m ∠ABD = 180 - m ∠ABE = 102° (angle on a straight line)

m ∠CBE = 102° (vertically opposite angles)

m ∠BEC = 180 - m ∠CBE - m ∠BEC = 38° (angle in a triangle)

m ∠ADB = 38°  (alternate angles)

Learn more about parallelogram on:

brainly.com/question/24587399

#SPJ1

We can start solving the problem by using the formula:

Hours worked = Total cost / Hourly wage

In this case, we know that Chris needs at least $320.00 for his class trip, and he earns $8 per hour working on the weekends. So, we can plug in these values into the formula:

Hours worked = $320.00 / $8.00

To solve this equation, we divide 320 by 8:

Hours worked = 40

So Chris needs to work 40 hours on the weekends to be able to go on the class trip.

I hope this helps :)

Answer:

----------------------------------------

Chris earns $8 per hour and he needs at least $320.00 for his class trip.

If he works h hours, he will get 8h dollars.

Set up inequality:

Solving we get:

Chris needs to work at least 40 hours.

Using the proportionality relationship equation, y = 3/2x, the complete table is:

x   |  y  

0     0

1      3/2

2      3

The equation of a proportional relationship between x and y can be represented as y = kx, which means that the constant of proportionality, k, is y/x.

For example, if the constant of proportionality between two variables x and y is given as 4, therefore, the equation of the proportional relationship will be stated as y = 4x.

Given the following:

Constant of proportionality, k = 3/2.

The equation of the proportional relationship is: y = 3/2x

Use the equation, y = 3/2x to complete the table by substituting the values of x into the equation:

For x = 1:

y = 3/2(1)

y = 3/2

For x = 2:

y = 3/2(2)

y = 3

Therefore, the complete table is:

x   |  y  

0     0

1      3/2

2      3

Learn more about the constant of proportionality on:

https://brainly.com/question/1835116

#SPJ1

According to the given information, there is approximately 55 kilograms of dog food in the bag, because 1/2.2 = 25/55

From the question, we are to determine the statement that is true

From the given information,

There is 25 pounds of dog food in a bag.

and

There are approximately 2.2 kilograms in 1 pound.

If there are 2.2 kilograms in 1 pound

Then,

There would be x kilograms in 25 pounds

x = 2.2 × 25

x = 55 kilograms

Hence, there are 55 kilograms

Learn more on Conversion of units here: https://brainly.com/question/17529194

#SPJ1

Answer:

Newton's 3rd law of motion

Step-by-step explanation:

Newton's 3rd law of motion states that for every force in nature there is an equal and opposite reaction.

So, assuming the people are both pushing with the same force, their forces are basically canceling each other out, and a net force of 0 is acting uponm the box, which explains why it is not moving.

The way we should prepare the meal to supply one half of the RDA for protein and 139 grams pof carbohydrates is 4 beans serving and 5 bread slices (answer A). It not possible to have the same amount of protein as in part A but only 61 grams of carbohydrates.

To calculate the meal of point A we have to consider the amount of grams of protein and carbohydrates in each food. In this case, we try with 4 servings of beans and 5 slices of bread, and it get the protein and carbohydrates required as shown in the following explanation:

Servings of beans

4 * 5 = 20 grams of protein

4 * 21 = 84 grams of carbohydrates

Slices of bread

5 * 2 = 10 grams of protein

5 * 11 = 55 grams of carbohydrates

Totals

20 + 10 = 30 grams of protein

84 + 55 = 139 grams of carbohydrates

According to the previous explanation the meal have to be composed by 4 servings of beans and 5 slices of bread. On the other hand, if we want to make a meal with the same amount of protein but only 61 grams of carbohydrates, it is imposible because the amount of carbohydrates of each food is bigger than we need.

Learn more about carbohydrates in: https://brainly.com/question/14614055

#SPJ1

Answer:

1 * 3 ==> 4th option

Step-by-step explanation:

Matrix dimensions are:

number of rows by number of columns

The number of rows is 1   :   ( -4     1/4    -1 is the row)

The number of columns is 3  :  (-4, 1/4, and -1 are the columns)  

Hence, the dimensions is 1 * 3.

Answer:

1 x 3

Last choice

Step-by-step explanation:

The dimensions of a matrix are represented by number of rows x number of columns

There is only one row here (don't be confused by the 1/4) and there are three columns

So 1 x 3

(last choice)

The ratio of Bob's to Ron's to Don's partnership interest is 26.6% : 33.3% : 40.0%.

A partnership interest is the percentage of a partnership that a specific member or individual owns. In this context, partnerships refer to a specific method of organizing business ownership in which each owner is a partner, with equal rights, privileges, and obligations to the company as a whole.

Data

Partnership interests in Maloney Bros:

Don - $78,000

Bob -  $52,000

Ron Maloney’s - $65,000

The total capital contribution is:

= $78,000 + $52,000 + $65,000

= $195,000

Bob's partnership interest is:

= $52,000/$195,000

= 0.266 or 26.6%.

Ron's partnership interest is:

= $65,000/$195,000

= 0.333 or 33.3%.

Don's partnership interest is:

= $78,000/$195,000

= 0.400 or 40.0%.

Read more about partnership interest

brainly.com/question/14835194

#SPJ1

Answer:

30 TENTHS + 7 HUNDREDTHS

Step-by-step explanation:

If you save RM1,000 at the end of each of the next 5 years in a savings account paying 6 percent compounded annually, the future value or the amount you will accumulate after 5 years is RM5,637.09.

The future value is the compounded present value of the periodic deposits.

The future value formula or FV table can determine the accumulated future value of periodic investments.

We can also use an online finance calculator to determine the future value.

N (# of periods) = 5 years

I/Y (Interest per year) = 6%

PV (Present Value) = RM0

PMT (Periodic Payment) = RM1,000

Results:

Future Value (FV) = RM5,637.09

Sum of all periodic payments = RM5,000(RM1,000 x 5)

Total Interest = RM637.09

Thus, in 5 years, you will have an accumulated future value of RM5,637.09 in the savings account.

Learn more about the future value at https://brainly.com/question/27979326

#SPJ1