consider the experiment of a worker assembling a product. a. define a random variable that represents the time in minutes required to assemble the product. b. what values may the random variable assume? c. is the random variable discrete or continuous?

Answer:

K=0 N=3 and I=-2

it's

3+-20= -17

A perfect square is a number that is gotten by multiplying it by itself.

An example of a perfect square is 25 and one that is not is 7.

A square number, sometimes known as a perfect square, is an integer that is the square of another integer; in other words, it is the product of another integer and itself. For instance, 9 is a square number since it equals 3² and may be expressed as 3 × 3.

A perfect square is a number that can be written as the product of two integers or as an integer's second exponent. 25 is a perfect square because it is the product of the integer 5 and itself, 5 × 5 = 25. A perfect square is a positive integer formed by multiplying an integer by itself.

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The fourth option [tex](3^{5)^{2} }[/tex]/[tex](3)^{4}[/tex] does not have value less than 1.

Power of a number is defined as  how many times to use the number in a multiplication. We also call  Powers as Exponents or Indices. For example, [tex]8^{2}[/tex] could be called “8 to the power 2” or “8 to the second power”, or simply “8 squared”.

Step-by-step explanation:

In first option, [tex]4^{11}[/tex]/[tex]4^{14[/tex], if we solve this, the answer comes out to be 1/[tex]4^{3}[/tex] which will be 1/64 which is 0.015 that is lesser than 1.

In second option, [tex](5^{4)^{2} }[/tex]×[tex]5^{-11}[/tex],if we solve this, the answer comes out to be 1/[tex]5^{3}[/tex] which will be 1/125 which is 0.008 that is lesser than 1

In third option,[tex](2^{3)^{-2} }[/tex],if we solve this, the answer comes out to be 1/[tex]2^{6}[/tex] which will be 1/64 which is 0.015 that is lesser than 1

in Fourth option ,[tex](3^{5)^{2} }[/tex]/[tex]3^{4}[/tex] , if solve this, the answer comes out to be [tex]3^{6}[/tex] which  will be 729 that is larger than 1

∴fourth option will be the answer.

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Hence when ΔCDE is translated to ΔC'D'E', the congruency is correct  ΔDCE ≅ ΔD'C'E'

Triangle is a shape with three angles, thus when it is translated downward, it returns to its original form.

Triangle will remain unchanged after translation since the length of the sides and the measure of the angles are not altered.

Translation involves moving the same triangle to a new location while maintaining the triangle's angle and side.

therefore,

CD ≅ C'D'

CE ≅ C'E'

DE ≅ D'E'

Hence, Option (B) is correct answer.

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You have to convert the following number into a fraction:

This is a periodic decimal number, which explicitely is 0.68888888....

In order to convert this number to a fraction you proceed as follow:

You put 0.68 and not 0.688 because to do the convertion you need only the first periodic number (that is, only the first 8). The key is to put in the numerator the complete number as whole number, that is, 68. To this number you subtract the whole part of the decimal number, this whole part is 0 because of the 0.688. Then, in the numerator you have 68 - 0. In the denominator you write a number composed only by 9's. The number of 9 numbers is determined by the number of digits of the first number in the numerator. That is two 9 numbers

Answer:

3

Step-by-step explanation:

There are 4.5 diamonds, which represent 9 hours in total.

This corresponds to 9/3 = 3 circles.

Answer:

3 circles

Step-by-step explanation:

For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.

Cyphon, this is the solution:

We have to multiply the following fractions:

7/12 * 4/3

7 * 4 / 12 * 3

28/36

Simplifying, we have:

7/9 (Dividing by 4 numerator and denominator)

We have to add the following fractions:

- 1/2 + 4/9

Let's find the lowest common denominator between 2 and 9, as follows:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

9, 18, 27, 36

The lowest common denominator is 18

Answer:

1

Step-by-step explanation:

The absolute value of x is the black line, therefor the absolute value of x-1 is the blue line

Hope that helps

The inverse of f(x) will be a relation if the original function's graph contains any location where a horizontal line would cross itself twice, but the inverse of that function won't be a function in and of itself.

Does a function's inverse always represent a relationship?

Essentially, obtaining an inverse is only a matter of changing the x and y coordinates. Although it might not always be a function, this newly generated inverse will be a relation. Sometimes a function's inverse isn't actually a function!

The inverse will also be a function if all horizontal lines only ever intersect one place on the original graph.

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Answer: 48 is the smaller integer

Step-by-step explanation: 48+49=97 48 and 49 are the two integers, 48 is smaller than 49.

Answer:

2%

Step-by-step explanation:

First, multiply by 1:

cos x * 1 + cos x tan^2 x

Factor cos x out of cos x tan^2 x

cos x * 1 + cos x (tan ^2 x)

Factor again

cos x (1+ tan^2 x)

Rearrange:

cos x (tan^2 x +1 )

Apply Pythagorean identity:

cos x * sec ^2 x

Rewrite Sec x in terms of sin and cos

cos x * (1 / cos x )^2

Apply product rule:

cos x * 1^2 / cos^2 x

cos x * (1/ cos^2 x )

Cancel common factor cos x

1 / cos x

1/cosx = sec x

Answer : sec x (option c)

Answer:

1.2

Step-by-step explanation:

Neither parallel nor perpendicular

The points are:

A(3, 1), B(3,-4), C(-4,1), D (-4,5)

The slope of a line is given as:

The slope of the line AB, m(AB), with gthe points A(3, 1), B(3,-4) is given as:

The slope of the line CD, m(CD), with the points C(-4,1), D (-4,5) is given as:

A line that has an infinite slope is a vertical line

For the two lines to be parallel, m(AB) should be equal to m(CD)

For the two lines to be perpendicular, m(AB) = -1 / m(CD)

None of the conditions for paralleleism and perpendicularity is met, the lines AB and CD are neither parallel nor perpendicular

From the given figure the value of x is 6 and the measure of angle 3 is 57°.

From the given figure, m∠4=(20x+3)° and m∠6=(9x+3)°.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

22). From the given figure

m∠4+m∠6=180° (Coointerior angles sum is equal to 180°)

(20x+3)°+(9x+3)°=180°

⇒ 29x+6=180

⇒ 29x=174

⇒ x=6

m∠4=(20x+3)°=123°

m∠3+m∠4=180° (Adjacent angles sum is equal to 180°)

m∠3+123=180

m∠3=57°

23). From the given figure

m∠3=m∠6 (Alternate interior angles are congruent)

x+10 = 4x-20

⇒ 3x=30

⇒ x=10

Now, m∠6=4x-20

=20

m∠6+m∠8=180° (Adjacent angles sum is equal to 180°)

20+m∠8=180°

⇒ m∠8=160

Therefore, from the given figure the value of x is 6 and the measure of angle 3 is 57°.

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Answer:

1- 80 miles

2- 3 hours

3- 35 mph

4- 180 miles

5- 5 hours

6- 15 mph

Step-by-step explanation:

if you travel at 40 miles every hour, then in 2 hours you'll travel 80 miles.

Answer:

21 cups

Step-by-step explanation:

This question tests on the the concept of Unit Conversion.

Unit Conversions involving converting values into per unit values.

Example: 15 apples in 3 days = (15 ÷ 3) apples per day = 5 apples per day

For this Question, we are given:

5 people per 3 cups of rice.

We are asked to find the number of cups of rice that 35 people can finish.

5 people = 3 cups

(5 ÷ 5) people = (3 ÷ 5) cups

1 person = 0.6 cups

(1 × 35) people = (0.6 × 35) cups

35 people = 21 cups

The solution for the algebraic expression 2 1/3 - 4/7 is 37/21

Given,

The algebraic expression ; 2 1/3 - 4/7

We have to solve this expression;

First lets solve the mixed fraction 2 1/3

2 1/3 = (2 x 3) + 1 / 3 = 6 + 1 / 3 = 7/3

Mixed fraction;

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Now,

7/3 - 4/7 = (7 x 7) / (3 x 7) - (4 x 3) / (7 x 3) = 49/21 - 12/21

That is,

49/21 - 12/21 = (49 - 12) / 21 = 37/21

That is,

The solution for the algebraic expression 2 1/3 - 4/7 is 37/21

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Answer:

y = -3x + 7

Step-by-step explanation:

Hello!

Slope-Intercept Form: y = mx + b

The y-intercept of the graph, or the point where the graph intersects the y-axis, is 7.

We can find the slope by finding the Rise/Run.

The graph rises negatively by 3 units as it runs positively by 1 unit, so the slope is -3/1 or -3.

Given the slope and y-intercept, the equation of the line is y = -3x + 7.

a. The change in elevation in feet per minute is 4.2 per feet.

b. If he continues at this rate,then Andy will be -25.2 feet below sea level.

Given Andy starts scuba diving at sea level and then descends 10.5 feet in 2 1/2 minutes.

we need to determine Andy's average change in elevation in feet per minute =?

therefore rate of descent = total descent/total time

time = 2 1/2 minutes = 5/2 minutes.

= -10.5/5/2

= -4.2 feet per minute.

Part B.

If he continues at this rate,the relation to sea level after 6 minutes will be:

= -4.2 × 6

= -25.2

Hence we get the required answers.

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Your question is incomplete. Please find the missing content below.

Andy is scuba diving. He starts at sea level and then descends 10.5 feet in 2 1/2 minutes.

Part A How would you represent Andy's change in elevation? Express your answer as an integer. Enter your answer in the box. feet per minute.

Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet

A. -20.25

B. -25.5

C. -27.3

D. 30.6

Remember the slope-intercept of a line is

where:

• m ,is the slope of the line

• b, is the y-intercept of the line

Now, let's substitute the data we're given. Thereby, the equation would be

The correct option is B: They both are correct. The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

for the given question.

The parent function is f(x) = x + 1.

The translated function is g(x).

As, it is shown in the graph that there is a shift of 4 units up as well as 4 units to the left of the original line.

It mean both Veronica and Drawn are correct.

Thus, The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

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The given inequality is expressed as

The first step is to collect like terms. Thus, we have

We would find x by dividing both sides of the inequality by - 5. Since - 5 is negative, the inequality symbol would be reversed. Thus, we have

Speed of light = 300,000 km/sec

Rocket's speed = 63,000 km/hr or 6.3 x 10⁴ km/hr

Alpha Centauri distance from Earth = 4.11 x 10¹³ km

One light year (distance) = 9.46 x 10¹² km

To solve for the time it takes it travel, we can manipulate the speed formula.

We already have the distance of Alpha Centauri from Earth written above. We also have the speed of the rocket written above too. We will substitute those values to the formula.

Answer:

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star, like.

this is the correct solution.

_______________

I'm reading your question

___________________

According to the Pythagorean theorem

Hypotenuse ^2 = Side 1 ^2 + Side 2 ^2

The hypotenuse is the case (Square 1 )

area of the sqaure= side of the square^2

________________________

That means the area of 1 is = area of square 2 + area fo square3 (J is false)

_______________________________

We are not sure about the relation between square 2 and 3 just the addition is the square 1 (F and H we have no certainty)

______________________________

G is true

______________________________

Answer

G

The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.

The required area can be determined as,

Thus, the required area of the irregular figure is 426 square feet.