Green Vehicle​ Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either​ vehicle, processing in the assembly shop and in the paint shop are required. It takes ​1/ of a day and ​1/ of a day to paint a truck of type T1 and a car of type C1 in the paint​ shop, respectively. It takes ​1/ of a day to assemble either type of vehicle in the assembly shop.
A T1 truck and a C1 car yield profits of and ​, ​respectively, per vehicle sold.
The aim of the objective function for Green Vehicle Inc. should be to
▼
Maximize
Minimize
the objective value.

Answer:

After grouping the prime factors in triplets, one factor 3 is left without grouping. Thus, 648 is not a perfect cube

The Sample space, a clear set of possible outcomes for choosing one card from the set.

The sample space for choosing one card from a set of 10 labeled cards, where each card is labeled with an expression, would consist of all the possible outcomes of this selection process.

Since there are 10 cards in the set, the sample space would consist of the individual expressions labeled on each card. Let's assume the expressions on the cards are labeled as follows:

Card 1: Expression 1

Card 2: Expression 2

Card 3: Expression 3

...

Card 10: Expression 10

{Expression 1, Expression 2, Expression 3, ..., Expression 10}

This sample space represents all the possible outcomes when selecting one card from the set. Each outcome corresponds to one specific expression labeled on a card.

the sample space only includes the individual expressions and not any particular order or arrangement of the cards. The order of the expressions does not matter in this case, as the focus is solely on the expressions themselves.

the sample space, we establish a clear set of possible outcomes for choosing one card from the set.

To know more about  Sample space.

https://brainly.com/question/10558496

#SPJ11

a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

To know more about distribution, visit:

https://brainly.com/question/31197941

#SPJ1

11. The ΔACD is not equal and congruent to ΔBCD.

12. The ΔXYZ is equal and congruent to ΔPQZ.

13. The ΔMNL is not equal and congruent to ΔRSL.

What is congruency?

Congruent refers to something that is "absolutely equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, and stack them on top of one another.

It is known that -

If two triangles are congruent, when they meet one of the following criteria -

a) All three pairs of corresponding sides should be equal.

b) Two pairs of corresponding sides and the corresponding angles between them should be equal.

c) Two pairs of corresponding angles and the corresponding sides between them should be equal.

11. In the first diagram, it is given that line segments -

AD = BD

CD = CD (common in both the triangles)

It is given that angles -

∠A ≅ ∠B

This proves that AD ≅ BD and CD = CD.

If ΔACD is congruent with ΔBCD then ∠ADC ≅ ∠BDC.

But not enough information is given about ∠ADC and ∠BDC.

Therefore, ΔACD is not congruent with ΔBCD.

12. In the second diagram, it is given that -

Z is the midpoint of line segment XQ and YP.

This means that line segments -

XZ = ZQ

YZ = ZP

It is also given that ∠XZY = ∠PZQ as they form a pair of vertically opposite angles which are equal.

So, the criteria two pairs of corresponding sides and the corresponding angles between them should be equal is fulfilled.

Therefore, ΔXYZ is congruent with ΔPQZ.

13. In the third diagram, it is given that line segments-

MN ≅ LR

LN ≅ LS

It is given that angles -

∠LMN ≅ ∠LRS

If the line segments MN ≅ LR and LN ≅ LS, then ∠MNL ≅ ∠NLS

But not enough information is given about ∠MNL and ∠NLS being equal.

Therefore, ΔMNL is not congruent with ΔRSL.

To learn more about congruency from the given link

https://brainly.com/question/20880990

#SPJ4

Answer:

(y + 7)^2 = 98

Step-by-step explanation:

To write the equation in standard form for the given circle, we need to complete the square for both the x and y variables.

Let's start by rearranging the equation:

y^2 = -x^2 - 14y

Next, we'll complete the square for the y variable. To do this, we need to add a constant term that will complete the square on the left side of the equation. We'll add (14/2)^2 = 49 to both sides:

y^2 + 14y + 49 = -x^2 - 14y + 49

Now, let's group the terms:

y^2 + 14y + x^2 = -14y - x^2 + 49

To simplify the equation further, we can combine the x^2 term and the -x^2 term:

x^2 - x^2 + y^2 + 14y = 49

The x^2 terms cancel each other out, and we are left with:

y^2 + 14y = 49

To complete the square for the y variable, we need to add (14/2)^2 = 49 to both sides:

y^2 + 14y + 49 = 49 + 49

Simplifying further:

(y + 7)^2 = 98

Now, we can write the equation in standard form:

(y + 7)^2 = 98

Therefore, the equation in standard form for the circle is (y + 7)^2 = 98.

Answer:

7.2pints of white paint was used

Step-by-step explanation:

White paint=7.9-(3/4)=7.2

The value of the larger number and the smaller number are 25 and 8 respectively.

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y.

They are called simultaneous equations because the equations are solved at the same time.

If the bigger value is represented by x and the smaller value is represented by then

x+y= 33 equation 1

3x+ 4y= 107 equation 2

using Elimination method,

we multiply the coefficients of x by opposite equation

3x+3y=99 equation 3

3x+4y= 107 equation4

subtracting equation 3 from 4

y=107- 99

y= 8

substituting 8 for y in equation 1

x+8= 33

x= 33-8=25

learn more about Simultaneous equation from

https://brainly.com/question/20627346

#SPJ1

Answer: 4.86

Step-by-step explanation: 2.75+.75 = 3.5  1 for the cookies 4.5*0.08 = 0.36

4.5+.36 = 4.86.

Answer:

Below

Step-by-step explanation:

● 1 + 3^2 × 2 -5

Start by calculating 3^2 wich is 9

● 1 + 9 × 2 -5

Multiply 2 by 9 (9×2=18)

● 1 + 18 -5

Add 1 to 18 (1+18 = 19)

● 19 -5

Substract 5 from 19 (19-5 = 14 )

● 14

Answer:

93%

Step-by-step explanation:

Answer:

92.5 percent

Step-by-step explanation:

37/40 = 92.5

Hopefully this helps you

pls mark brainlest

Answer:

The correct answer is 10n ≥ 470.

Step-by-step explanation:

Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.

They already collected 30 canned goods, therefore we can subtract this quantity from out goal.

500 - 30 = 470

Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.

You need to cut  \(\frac{7} {10}\) minutes from the song for it to be exactly 3 1/2 minutes.

The unitary technique can be used tο calculate the value οf a single unit frοm the values οf multiple units and the value οf multiple units frοm the values οf single units.

This methοd is frequently emplοyed in math calculatiοns. Yοu can use this methοd tο sοlve issues cοncerning ratiο and prοpοrtiοn, algebra, geοmetry, etc.

The amount of time needed to cut is the difference between these two mixed fraction:

\($ \Rightarrow 4 \frac{1}{5} - 3 \frac{1}{2}\)

\($ \Rightarrow \frac{21}{5} - \frac{7}{2}\)

The LCM of 5 and 2 is 10

\($ \Rightarrow \frac{42- 35} {10}\)

\($ \Rightarrow \frac{7} {10}\)

learn more about unitary method click here:

brainly.com/question/23423168

#SPJ1

Complete question:

You plan to enter a song writing contest. Your song must be exactly 3 1/2 minutes long. You have a song that lasts for 4 1/5 minutes. How many minutes do you need to cut from the song?

117 °

Explanation

when a line intersects a pair of parallel lines, vertical angles, corresponding angles interior alternate angles and exterior alternate angles are formed

then

and

I hope this helps you

Answer: 990 ways

Step-by-step explanation:

For the first chicken, there are 11 slots it could be, or 11.  For the next chicken, there are 10 available, or 10.  Same thing for the third chicken, with 9.  Thus, simply do 11*10*9 to get 990.

The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

To know more about equation here

https://brainly.com/question/10413253

#SPJ1

Answer:the graph tells you 24 seconds by 4 ounces

Step-by-step explanation:

Linear equations are used to represent scenarios that have constant rates

The given parameters are:

A linear equation is represented as:

\(y = mx + b\)

Where:

m represents the rate

b represents the initial value

So, the equation that represents Lin's situation is:

\(y = \frac 13x + 20\)

See attachment for the graph of \(y = \frac 13x + 20\)

The solution can not be determined, because the other equation is not given

Read more about linear equations at:

https://brainly.com/question/14323743

The given membership dues are enough for 1.34 months therefore for one month it is on side of profit.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Given that,

Fixed operating costs amounted to $95

Variable cost = $265

Let's say it can be used for x months

Now,

265x + 95 ≤ 450

265x ≤ 355

x ≤ 1.34

Hence "The given membership dues are enough for 1.34 months therefore for one month it is on side of profit".

For more about the equation,

https://brainly.com/question/10413253

#SPJ1

Answer:

10$

Step-by-step explanation:

because 10$ + 10$ + 10$ equals 30$ so one is 30$

Answer:

Option C: 15.87 is the correct answer

Step-by-step explanation:

Given

Mean = $47500

SD = $12500

We have to find the probability of having $60000 or more

So,

x = $60000

The z-score will be:

\(z-score = z = \frac{x-mean}{SD}\\z = \frac{60000-47500}{12500}\\= \frac{12500}{12500}\\= 1\)

Looking in the z-score table, we get

P(Z<60000) = 0.8413

In order to find the probability P(Z>60000) => 1-P(Z<60000)

= 1-0.8413

=0.1587

Converting into percentage: 0.1587*100 = 15.87%

Hence,

Option C: 15.87 is the correct answer

Answer:

Step-by-step explanation:

a

Answer:

the tree would be 45 feet tall

Step-by-step explanation:

so the house is 30 feet and 50 feet shadow, if you divide by 2 you can see that every 15 feet gives a 25 foot shadow, since 75-50 is 25 so in turn if the tree is 45 feet tall, it will make 75 foot shadow

We will have the following:

So, the equation in vertex form is:

And in standard form:

***Explanation***

We know that the quadratic expression in vertex form follows:

Where (h, k) is the vertex of the expression. Now, we know that the vertex is (2, -8), so we replace those values and we obtain:

Now, in order to determine "a" we must replace one point (That is not the vertex) in the expression and solve for "a", and we are told that the point (4, 3) is in one of the solutions, so:

Thus, the expression in vertex form is then:

And to determine the standard form, we simply expand the equation in vertex form:

Answer:

Marsha has driven 252 miles

Step-by-step explanation:

In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.

Hope this helps!     :)

Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

Answer:

\(P(x\le 4\ or x> 10) = \frac{4}{7}\) or \(P(x\le 4\ or x> 10) = 0.5714\)

Step-by-step explanation:

Given

\(x = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14\}\)

Required

Determine \(P(x\le 4\ or x> 10)\)

Because the events are independent, the probability can be solved using:

\(P(A\ or\ B) = P(A) + P(B)\)

So, we have:

\(P(x\le 4\ or x> 10) = P(x \le 4) + P(x > 10)\)

When \(x \le 4\), we have: \(x = \{1,2,3,4\}\)

So:

\(P(x \le 4) = \frac{4}{14}\)

Also:

When \(x > 10\), we have: \(x = \{11,12,13,14\}\)

So:

\(P(x>10) =\frac{4}{14}\)

\(P(x\le 4\ or x> 10) = P(x \le 4) + P(x > 10)\) becomes

\(P(x\le 4\ or x> 10) = \frac{4}{14} + \frac{4}{14}\)

\(P(x\le 4\ or x> 10) = \frac{4+4}{14}\)

\(P(x\le 4\ or x> 10) = \frac{8}{14}\)

\(P(x\le 4\ or x> 10) = \frac{4}{7}\)

\(P(x\le 4\ or x> 10) = 0.5714\)

Answer:

x = 20

Step-by-step explanation:

These 2 angles are supplementary which means they add up to 180:

5x + 9 + 3x + 11 = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 20

Step-by-step explanation:

1. 16

2. 16

3. 24

4.39

5. 68

6. 51

Answer:

1 is letter d

2 is letter d

3 is letter e

4 is letter b

5 is letter a

6 is letter f

your very welcome

Step-by-step explanation:

A geometric sequence is a sequence of numbers where consecutive elements have a common ratio r:

Then, we can find the next element of the sequence by multiplying the preceding element by the common ratio r:

If the first element of the sequence is a₁, then:

The given information states that a₁=8 and that the common ratio is 2/3.

Then, substitute a₁=8 and r=2/3 into the expression for the n-th term:

Therefore, the sequence can be written as a function as follows:

Answer:

20/21

Step-by-step explanation:

tanC = opposite/adjacent = 20/21