number 12 i need help im not sure what their asking for

The system of equations that represent this situation is:

\(x + y + z = 356\)

\(9x + 4y + 4z = 1978\)

\(x = 2y\)

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

For our system, we say that:

Total of 356 people, thus:

\(x + y + z = 356\)

$9 for adults, $4 for students and teachers, total of $1978. Thus:

\(9x + 4y + 4z = 1978\)

Adults twice the number of students, thus:

\(x = 2y\)

The system is:

\(x + y + z = 356\)

\(9x + 4y + 4z = 1978\)

\(x = 2y\)

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Answer:

1.60$ for each 1

Step-by-step explanation:

8 / 5 =

The value of m+n is 37.

Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. The range for probability varies from 0 to 1.

Let A signify the flipping of the head, and let B signify the flipping of the tail. The event ends when we get 5 heads or 2 tails while flipping.

Then, the outcomes are given by AAAAA, BAAAAA, BB, ABB, AABB, AAABB, AAAABB. The probability of getting a head is 1/2 and a tail is 1/2. The probability of the possible outcomes is 1/32, 1/64, 1/4, 1/8, 1/16, 1/32, and 1/64.

The outcomes with five heads are AAAAA and BAAAAA. The sum of the probabilities of getting 5 heads is,

\(\begin{aligned}\frac{1}{32}+\frac{1}{64}&=\frac{2+1}{64}\\&=\frac{3}{64}\end{aligned}\)

And, the sum of all the outcomes is, \(\begin{aligned}\frac{1}{32 }+ \frac{1}{64}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}&=\frac{2+1+16+8+4+2+1}{64}\\&=\frac{34}{64}\end{aligned}\)

Let p is the probability that a run of 5 heads will occur before a run of 2 tails. The desired probability p is,  

\(\begin{aligned}p&=\frac{\text{number of event}}{\text{total outcome}}\\&=\frac{\frac{3}{64}}{\frac{34}{64}}\\&=\frac{3}{34}\end{aligned}\)

Given, p is of the form m/n. So, m is 3 and n is 34. Then, m+n=3+34=37.

The answer is 37.

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Answer:

348,750 dollars in 3 years

Step-by-step explanation:

   You inheritanced 15,500 dollars. You put that into a account which has a 7.5% interest rate for one year. 15,500 x 7.5 = 116,250 a year. now you want to know how much that'll be in 3 years multiply 116,250 x 3 = 248,750.

(I'm sorry if this is incorrect i tried doing the math correctly!)

Answer:

Step-by-step explanation:

I = P x r x t

p=15500

i=7.5% must change to decimal of 0.075

t= 3 (years)

In this case

I= 15,500 X 0.075 X 3=  3,487.5

(1, 162.5 x 3)= 3487.5

Solved to nearest dollar of 3,488

Answer:

48

Step-by-step explanation:

The exponent of the number in scientific notation is 6.

First, let's write our two limits in scientific notation.

The lower bound is one million, which is:

1,000,000 = 1*10^6

(the exponent is equal to the number of digits after the first one).

The upper bound is ten million, which is written as:

10,000,000 = 1*10^7

Now, if Jerome's number is between these two, then the exponent must be 6, it can't be other number. Because if it is smaller than 6, then the number is smaller than one million, and if it 7 or larger, then it is larger than ten million.

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Concluding that there is an effect when in reality no effect exists is known as a: Standard error.

The approximate standard deviation of a statistical sample population is known as the standard error (SE) of a statistic.

By utilizing standard deviation, the standard error is a statistical concept that assesses how accurately a sample distribution represents a population. In statistics, the difference between a sample mean and the population's actual mean is known as the standard error of the mean.

The difference between the population's computed mean and one that is widely regarded as correct is described by the standard error.

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Answer:

4710

Step-by-step explanation:

6580 minus

1870

4710

Answer:

\(\sf \bold{206 \dfrac{2}{25} \ in^2}\)

After scale factor of ⅖ the sides:

surface area of triangle:

⇒ base * height + perimeter of base * Length

⇒ 2.8 * 9.6 + ( 10 + 9.6 + 2.8 ) * 8

⇒ 26.88+ 179.2 m²

⇒ 206 2/25 m²

A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

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Answer:

there are 5 halves in 2 1/2

Answer:

5

Step-by-step explanation:

1/2 +1/2 = 1

Answer:

95% of confidence intervals are

(197.706 , 198.294)

Step-by-step explanation:

Explanation:-

Given sample size 'n'=100

Mean of the sample  x⁻ = 198

The standard deviation of the Americans =15

95% of confidence intervals are determined by

            \((x^{-} - Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} })\)

Level of significance = 0.05

Z₀.₀₅ = 1.96

        =   \((198 - 1.96 \frac{15}{\sqrt{100} } , 198 +1.96\frac{15}{\sqrt{100} })\)

       =  ( 198 -0.294 ,198 +0.294)

       = (197.706 , 198.294)

95% of confidence intervals are

(197.706 , 198.294)

Answer:

area of a rectangle is L × B

3.1m ×6m = 18.6 m

The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

Area of the parallelogram equals to a*h, where a is the length of its side and h is the length of a height drawn to that side. In this case, we know all its sides, but we don't know height to the side 23.2, so we can't use it.

S = 18 * 21 = 378 (in²).

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

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The genotypic ratio is the distribution pattern of the genes in the offspring obtained after a genetic cross.

The phenotypic ratio is the distributionn pattern of the physical characteristics in the offspring obtained after a genetic cross.

To find a phenotypic ratio, we look at the alleles of the parent organisms and estimate how often those genes will be exhibited by the offspring.

Phenotype is the constellation of observable traits; genotype is the genetic endownment of the individual.

Phenotype = genotype + development (in a given environment).

The genotypic ratio and the phenotypic ratio may not necessarily be the same.

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Answer:

16 = y

Step-by-step explanation:

So you have the equation 6=-y+42+-2y

Find the y first

6=-y+42+-2y

add all y's together

6=-3y+42

subtract 42 on both sides

-48 = -13y

16 = y

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

Now do the check:

Plug in 16 where ever it says y in the original equation

6= -(16) + 42 + -2(16)

open the brackets

6= -16+42-32

solve

6=26-32

6 = 6

Hope this helps

A scatter plot, because it would show the association, or relationship, between the two variables

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

The table of values

To show the relationship and association between data values, the data values are best represented on a scatter plot

using the above as a guide, we have the following:

The most appropriate to construct for the data is (b)

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Answer:

(7x+5) is the length of the square

Step-by-step explanation:

(a+b)^2

= a^2 + 2ab + B^2

Substituite values in and you will find this

Answer:

-1.2,-0.8,1/4,0.5

Step-by-step explanation:

hope this helps :D

The answer is,

\(y = 1.6\)

Answer:

Y = 1.6

Step-by-step explanation:

Y = 2 - 0.4

Y = 1.6

Answer:

8 is the correct answer ...

A confidence interval that will capture the true population mean with 95% confidence. The value is ( 23.6459    , 24.8293 ) .

What is population mean?

A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment. A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.

Data: 18

for given data

\($$\begin{aligned}\bar{X} & =\frac{\sum X i}{n} \\& =2448 / 101 \\& =24.2376\end{aligned}$$\)

as population variance is unknown so we used sample variance

\($$\begin{aligned}S^2 & =\frac{1}{n-1}\left(\sum X i^2-n \times \bar{X}^2\right) \\S^2 & =\frac{1}{100}\left(60232-101 \times 24.2376^2\right) \\& =8.9830\end{aligned}$$\)

Now

\(\frac{\bar{X}-\mu}{S / \sqrt{n}} \sim t_{n-1}$$\)

hence 95 % of population mean is

As n=101 which is large so critical value is 1.98397

\($$\begin{aligned}& =\left(\bar{X}-\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}, \bar{X}+\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}\right) \\& =\left(24.2376-\sqrt{\frac{8.9830}{101}} \times 1.98397,24.2376+\sqrt{\frac{8.9830}{101}} \times 1.98397\right) \\& =(23.6459,24.8293)\end{aligned}$$\)

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Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Step-by-step explanation:

The graph of Fx), shown below in pink, has the same shape as the graph of G(x)-x, but it is shifted to the right two units. Complete its equation below Enter exponents using the caret (a), for example, enter x as x 4. Do not include Fx)-in your answer. .5 5 F(x) = Answer: 0

The equation of the graph is,

⇒ G (x) = (x - 3)⁴

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function G (x) is shown in image.

Here, The graph is 3 units left to function F (x) = x⁴.

Hence, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

Thus, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

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