7(x — 6) = 3х +9

Helppp

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Answer: The first box in the model is 60. The box above it is 300. The box above 20 is 70. The answer is 74.

Step-by-step explanation: Self-explanatory.

My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.

In order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.

In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:

x y Total Profit

0 0 0

1 0 6

0 1 15

1 1 21

2 1 27

1 2 30

2 2 36

3 2 42

2 3 45

3 3 51

From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.

Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.

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The scenarios that can be considered a seller-based discount are:

A. The offer by Wire and Cable

B. Carfna's Fine Foods

C. Mouser Electronics offer

E. Carchex Car Maintenance

A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.

The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.

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Answer:

X = -6

Step-by-step explanation:

Add 8 to both sides

- 3x = 18

divide by -3

x = -6

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

268.08 cubic inches

Step-by-step explanation:

I'm sorry if this isn't helpful

The value of a for the given expression will be -3.31.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a ​ −1.6. The value of a will be calculated as below,

3.6 = − a/0.8 − 1.6 − 0.8 a ​ −1.6

3.6 + 1.6 + 1.6 = -a / 0.8  - 0.8a

6.8 = ( -a - 0.64a ) / 0.8

5.44 = -1.64a

a = -3.31

Therefore, the value of a will be -3.31.

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The solutions to y = –8x for x = 2, 4, and 8 are (2, –16), (4, –32), (8, –64), hence, option D is correct.

We are given the equation y = -8x and asked to find the solutions for x = 2, 4, and 8. To find the solutions, we substitute the given values of x into the given linear equation and solve for y.

For x = 2, we have,

y = -8x

y = -8(2)

y = -16

Therefore, the solution for x = 2 is (2, -16).

For x = 4, we have,

y = -8x

y = -8(4)

y = -32

Therefore, the solution for x = 4 is (4, -32).

For x = 8, we have,

y = -8x

y = -8(8)

y = -64

Therefore, the solution for x = 8 is (8, -64).

Putting these solutions together, we get {(2,-16), (4,-32), (8,-64)}. Hence, the correct answer is option D.

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Answer:

x = 0 —> y = 0 —> ( 0 , 0 )

x = 1 —> y = – 2 —> ( 1 , – 2 )

x = 5 —> y = – 10 —> ( 5 , – 10 )

x = -3 —> y = 6 —> ( -3 , 6 )

Step-by-step explanation:

x = 0 —> y = -2x = -2(0)=0

x = 1 —> y= -2x = -2(1) = -2

x = 5 —> y = -2x = -2(5) = -10

x = -3 —> y = -2x = -2(-3) = 6

I hope I helped you^_^

Answer:

c=100g+50

Step-by-step explanation:

c is the total cost

there is a 50 dollar fee and 100 dollars per guest

so for every guest, the cost is increased by 100

since there are g number of gusts, the price for the guests will be 100g dollars

since there is also a 50 dollar fee, 50 dollars has to be added to the 100g

therefore c=100g+50

Answer:

LxWxH

Step-by-step explanation:

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

A unit increase in gender will result in decrement of -52.73 in wage provided holding all other parameter constant.

What is parameter?

A parameter is a piece of information that an equation passes on. In terms of statistics, it means something different. In contrast to statistics, which only provide information about a small portion of the population, this value provides information about the entire population.

A parameter is constant because it was determined by surveying everyone (or everything). The average age of the students in your class, for instance, might be of interest to you. Maybe after asking everyone, you discovered that the average age was 25. Given that you polled the entire class, that qualifies as a parameter. Let's say you were curious about the median age of your grade or year.

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Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125\)

\(p = 0.091125(0.55) = 0.0501\)

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

\(E = \frac{q}{p}\)

In this problem, \(p = 0.55\), and 1 trial, thus \(q = 1\), hence:

\(E = \frac{1}{0.55} = 1.82\)

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

\(S = \frac{\sqrt{q(1 - p)}}{p}\)

Hence:

\(S = \frac{\sqrt{0.45}}{0.55} = 1.22\)

The standard deviation is of 1.22 students.

Item d:

This probability is P(X = 3) when n = 5, hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369\)

0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

\(E(X) = np\)

Hence:

\(E(X) = 5(0.55) = 2,75\)

It is expected that 2.75 students live within five miles of you.

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The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

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

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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Answer:.3

Step-by-step explanation: if it is 5 or above it rounds up

Answer:

180

Step-by-step explanation:

A word has n letters.

There are m repeating letters, each of them repeating \(r_{0}, r_{1}, ..., r_{m}\) times

So the number of distincts ways the letters can be permutated is:

\(N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}\)

In this question:

Extent has 6 letters.

E and r repeat 2 times. So

\(N = \frac{6!}{2!*2!} = 180\)

So the answer is 180.

Answer:

Yes

Step-by-step explanation:

Since the base numbers (141) is the same, we can ignore that.

Now, let's look at .3 and .05.

.3 is the same as .30.

If we remove the decimal point, we're looking at 30 and 5. 30 is greater than 5, so 141.3 is greater than 141.05.

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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40kg of dough

Step-by-step explanation:

24 kg dough...........................6 hours

? dough.........................10 hours

x=(24*10)/6=240/6=40

\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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The multiplication fact that can help you find 24 divided by 4 is 4 x 6.

Answer: The given statement is true.

Step-by-step explanation:

Significant figures are defined as the figures that are present in a number. It expresses the magnitude of a quantity to a specific degree of accuracy.

There are some rules to detect the significant figures in a number:

Rule applied when numbers are added or subtracted:

The number having less number of significant figures after the decimal point will determine the number of significant figures in the final answer.

Hence, the given statement is true.

The interval in which both functions are positive is the one in option C.

(3, ∞)

First, when we have a graph, to identify when the function is positive we need to see when the graph of the function is above the horizontal axis.

So here we just need to see in which interval are both curves (orange one and blue one) are above the horizontal axis.

We can see that from x = 3 and above, both of the curves are above the horizontal axis, then the interval in which both functions are positive is:

(3, ∞)

So the correct option is C.

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Answer:

The point estimate for the true difference between the population means is 0.13.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Step-by-step explanation:

To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.

This means that:

\(\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325\)

A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.

This means that:

\(\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753\)

Difference between the true mean ages for cars owned by students and faculty.

Distribution s - f. So

\(\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13\)

This is also the point estimate for the true difference between the population means.

\(s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912\)

90% confidence interval for the difference:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.9}{2} = 0.05\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.

Now, find the margin of error M as such

\(M = zs = 1.645*0.2912 = 0.48\)

The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years

The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.