Which combination could the coach buy?Remember: There are 400 spaces.x = the number of regular carsy = the number of compact carsClick on the correct answer.170 regular, 260 compactX 180x + y s 400175 regular, 225 compact300 –210 regular, 190 compact200 –10001200100300XS 180x + y s 400

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

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The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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In JMP, open the data in Fit Model and choose scatterplot, and a residual usually looks like the scatterplot but more extended vertically.

(a): Yes, because there is not much of a trend in the data.

(b): The materials cost is a very small percentage of the average cost. It could be true that items that use fewer materials take more labor hours to make ready for the customer.

(c): chose a correct residual plot

In JMP, in the top red triangle, click on save columns, and then click on Residuals. Then go to the data table in JMP and in Graph, press GRAPH BUILDER... put residuals on y and # of labor hours on x

As the number of labor hours​ increases, the residual values from the regression also tend to​ increase, suggesting that the labor input is a lurking variable.

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Answer:

Third option is the correct answer

Step-by-step explanation:

\(3 {x}^{5} \bigg( 2 {x}^{2} + 4x + 1 \bigg) \\ \\ = 3 {x}^{5} \times 2 {x}^{2} + 3 {x}^{5} \times 4x + 3 {x}^{5} \times 1 \\ \\ = 3 \times 2 {x}^{5 + 2} + 3 \times 4 {x}^{5 + 1} + (3 \times 1) {x}^{5} \\ \\ \red{ \bold{= 6{x}^{7} + 12{x}^{6} +3 {x}^{5} }}\)

Answer:

50%

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

trust me :D

Answer: As we know that the formula of outlier is

IQR = Q3 - Q1

= 52 - 32

= 20

52 + 1.5(20) = 82...

so anything above 82 is an outlier

now

32 - 1.5(20) = 2.

..anything below 2 is an outlier

so...the 83 is outlier

so correct option is D

hope it helps

Step-by-step explanation:

Answer:

Hey there!

We have cosine 61=y/500

cosine 61(500)=242.4 ft.

Let me know if this helps :)

Answer: The probability of choosing an ace or a club is 16.

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

Add the area of each face together

Don't forget the units!

Let's start by finding the right face (12 by 3). From your picture, we can tell its 12m long, and 3m tall. To find the aria of any face, we multiply the length, times the width.
12 x 3 = 36.
Now let's look at where it says 8m. Since that face is just as tall as the first one, we can tell its 3m tall.
8 x 3 = 24.

We can continue this for the top face.
Since the width of the second face we did is 8m, and the width of the first one is 12m, we can tell that the top one is 8 x 12. (96).

We can do this again for the other 3 sides.
A shortcut i like to take, is to do 3 of the sides, (Like the ones we did) and add them together, then double the sum.

36+24+96=156.

156x2=312.

This shortcut should work, because by adding the aria of half the sides together, we get exactly half the answer.

When doing this, it only works to do 3 different sides. it will not work if you do the same side twice, or a parallel side.

I encourage you to let me know if this method works for you! I hope this helps!

helloos, i think the answer is the last option "4 + 6(2 + x) = 2(3x + 8)" because 4 + 6(2+x) = 6x + 16 and 2(3x + 8) = 6× + 16 as well. so, 6x + 16 = 6x + 16 has no solution because 0x = 0. therefore, x has no solution. I hope this helps you to understand it a little

To add these equations you just have to combine like terms on the same side of each equation, like this:

As you can see, we got 2x + 7y -2x -8y on the left, by combining like terms and performing the subtraction on the right side, we get:

2x-2x+7y-8y=2

0-1y=2

-y=2

Then, after adding these equations, we get -y = 2

Answer:

slope = 1/4

Step-by-step explanation:

at a cafeteria the price of a salad depend on it weight in ounces. the graph shows the relationship what is the slope of the line

Find two places where the line neatly intersects the graph. For example, we will use the points: (0 , 0) and (4 , 1)

slope = change in y / change in x

\(slope = \frac{(y_{1} -y_{2} )}{(x_{1} -x_{2} )}\)

slope = (0 - 1) / (0 - 4)

slope = -1 / -4

slope = 1/4

Answer: 1/4

Step-by-step explanation:

I just did it

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer: i think its 134

Step-by-step explanation:

The surface area of the new figure is,

⇒ 1550 cm²

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Given that;

The surface area of a figure is 62cm².

And, the dimensions are multiplied by 5.

Here, The surface area of a figure is 62cm².

After multiply by 5, surface area of the new figure is,

⇒ 5² × 65

⇒ 25 × 65

⇒ 1550

Thus, The surface area of the new figure is,

⇒ 1550 cm²

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Answer:

green m&m 28.5714% probability 2/7

Step-by-step explanation:

yellow starburst 18.1818% probability 2/11

Answer:

9 × √3 cm or approximately 15.59 cm

Step-by-step explanation:

(look at the picture)

Answer: that’s the question

Step-by-step explanation:

Answer:

2n+2

_____

9 2n

Exp:

I work as a math teacher

Using sampling concepts, it is found that a population of all the students in those two colleges would be appropriate for study.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of students is taken from two colleges, hence a population of all the students in those two colleges would be appropriate for study.

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Answer:

Step-by-step explanation:

The top has area (3 cm)(5 cm), or:                                 15 cm^2

The bottom has the same area:                                      15 cm^2

Each of the ends has the area (3 cm)(2.5 cm):                7.5 cm^2

                                                                                           7.5 cm^2

Each of the sides has the area (2.5 cm)(5 cm)                12.5 cm^2

                                                                                            12.5 cm^2

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

                                                                                             70 cm^2

The total lateral area is 70 cm^2

Answer:

15cm2

Step-by-step explanation:

May this answer help you

Answer:

5

Step-by-step explanation:

Answer:

its 5 because the 6 is above five so it rounds the 4 to a 5 if that makes sense prob not lol

Step-by-step explanation:

Answer:

40.42 ÷ 4.3 = 9.4

15.48 ÷ 0.72 = 21.5

86.4 ÷ 2.4 = 36

50.31 ÷ 8.6 = 5.85

Answer:

i don't know

Step-by-step explanation:

The population of North Carolina will reach 12 million in the year 2028.

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Given that,

Population in 2010 = 9.5 million

Population is increasing to 1.3% per year.

Annual growth rate = 1.3% = 1.3/100 = 0.013

We have the population growth formula,

P = P₀ e^(r t)

Here, P₀ = 9.5 million = 9,500,000

and P = 12 million = 12,000,000

r = 0.013

We have to find t.

12,000,000 = 9,500,000 e^(0.013t)

120 / 95 = e^(0.013t)

Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,

㏑(12/9.5) = 0.013t × ㏑e

[㏑(12/9.5) ÷ 0.013] = t  [since ln e = 1]

t = 17.97 ≈ 18 years

The year is 2010 + 18 = 2028

Hence in the year 2028, the population will be 12 million.

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Step-by-step explanation:

61.945

62the perimeter of triangle ABC to

the nearest whole number

Answer:

25 minutes

Step-by-step explanation:

First you subtract the original amount on the card from the remaining amount left.

So you can get the amount of money spent on that call.

$15 - $13.50 = $1.50

Then you divide that number by how much it cost per minute.

$1.50 ÷ 6 = 0.25

Then you get your answer!

She was on the phone for 25 minutes

Step-by-step explanation:

x=(8cm)²+(15cm)²

x=64cm²+225cm²

x=289cm²

x=√289cm²

x=17cm

therefore the length of the hypotenuse is 17cm

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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In order to know, you'll need to simplify the expressions.

-2(3-4d+c)

-6+8d-2c

Now for the next one.

-2/5(15-20d+5c)

-6+8d-2c

So yes, the 2 expressions are equivalent.

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hope it helps