Mai has a rectangular poster that is 18 centimeters long and 15 centimeters wide. What is the area of the poster in square
meters? Do not round your answer. Be sure to include the correct unit in your answer.

Step-by-step explanation:

let us keep the price of pants as x

and price of necklace as y

Simultaneous equations comes as follows:

4x + 3y = 216 for Alexis

7x + 2y = 300 for Jess

we'll make either x or y equal

here let's make y equal

2 ( 4x + 3y = 216)

3 ( 7x + 2y = 300)

8x + 6y = 432

21x + 6y = 900

21x - 8x = 900 - 432

13x = 468

x = $36

so a pant costs $36

And

3y = 72

y = $ 24

so a necklace costs $36

Answer:

The correct answer is -  Substitution method

Step-by-step explanation:

substitution method or strategy where an individual solve for one variable first and afterward substitute that articulation into the other equation. The significant thing here is that you are consistently substituting values that are the same.  

Steps :

- Comprehend or solve one of the variables and make an equation.  

- Substitute (module) this articulation into the other equation and comprehend.  

- Resubstitute the value into the first equation to find the value of other variable.

Answer:

The first dot should be on 3, and the second should be at 15 so its a linear line.

Step-by-step explanation:

Answer:

S is the volume of the small cup, M the volume of the medium cup and L the volume of the large cup:

2*S + 2*M + 4*L = 160oz

2*S + 6*M + 1*L = 160oz

5*S + 1*M + 3*L = 160oz.

First, we must isolate one of the variables, for this we can use the first two equations and get:

2*S + 2*M + 4*L = 160oz = 2*S + 6*M + 1*L

We can cancel 2*S in both sides:

2*M + 4*L = 6*M + 1*L

now each side must have only one variable:

4*L - 1*L = 6*M - 2*M

3*L = 4*M

L = (4/3)*M.

now we can replace it in the equations and get :

2*S + 2*M + 4*(4/3)*M = 160oz

2*S + 6*M + (4/3)*M = 160oz

5*S + 1*M + 4M = 160oz.

simplifing them we have:

2*S + (22/3)*M +  = 160oz

2*S + (22/3)*M  = 160oz

5*S + 5*M  = 160oz.

(the first and second equation are equal because we used those to get the relation of M and L, so we now have only two equations):

2*S + (22/3)*M  = 160oz

5*S + 5*M  = 160oz.

We can take the second equation and simplify it:

S + M = 160oz/5 = 32oz

S = 32oz - M

Now we can replace it in the first equation and solve it for M

2*S + (22/3)*M = 2*(32oz - M) + (22/3)*M = 160oz

62oz - 2*M + (22/3)*M = 160oz

-(6/3)*M + (22/3)*M = 98oz

(18/3)*M = 98oz

M = (3/18)*98oz = 16.33 oz

Then:

L = (4/3)*M =(4/3)*16.33oz = 21.78 oz

and:

S = 32oz - M = 32oz - 16.33oz = 15.67oz

Answer:

Mean= 554.4

Standard deviation= 82

Step by step Explanation:

The question want us to calculate a) mean b) standard deviation, while we were given the probability mass function of random variables.

The percentage were of the carbon dioxide were given below;

6% of the trees in a minimal growth condition at 340 = 0.06

13% at 430 ppm = 0.13

46% at 560 ppm = 0.46

35% at 630 ppm= 0.35

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer: C  angles at the intersection are congruent and supplementary

Step-by-step explanation:

Two right angles are 90° each. So they add up to 180° which makes them supplementary. Supplementary alone is not proof that they are perpendicular because there are many combinations that add to 180.

Congruent means they are identical, or equal in size.

Only two  Right ( 90° ) angles meet those conditions.

C is the answers Answer:

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

It is D. because there are lines on top of the letters meaning that the points PQ, QR, and PR are lines/sides.

You chose the answer already!

Answer:

[tex]69.72-1.71\frac{4.15}{\sqrt{25}}=68.30[/tex]    

[tex]69.72+1.71\frac{4.15}{\sqrt{25}}=71.14[/tex]    

Step-by-step explanation:

Information given

[tex]\bar X=69.72[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=4.15 represent the sample standard deviation

n=25 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom, given by:

[tex]df=n-1=25-1=24[/tex]

Since the Confidence is 0.90 or 90%, the significance is [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and the critical value is [tex]t_{\alpha/2}=1.71[/tex]

Now we have everything in order to replace into formula (1):

[tex]69.72-1.71\frac{4.15}{\sqrt{25}}=68.30[/tex]    

[tex]69.72+1.71\frac{4.15}{\sqrt{25}}=71.14[/tex]    

Using the t-distribution, it is found that the 90% confidence interval  for​ the mean height of adult males in the United States is (68.3, 71.14).

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The information given is:

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 25 - 1 = 24 df, is t = 1.7109.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 69.72 - 1.7109\frac{4.15}{\sqrt{25}} = 68.3[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 69.72 + 1.7109\frac{4.15}{\sqrt{25}} = 71.14[/tex]

The 90% confidence interval  for​ the mean height of adult males in the United States is (68.3, 71.14).

A similar problem is given at https://brainly.com/question/15180581

Answer:

A. Pages about Michael Jordan.

Step-by-step explanation:

Michael Jordan, MJ, is a great basketball player, and has achieved one the best records in his career. He is a National Basketball Association (NBA)  player with great skills and energy.

From the search item, the two names Michael OR Jordan is for one person, Michael Jordan. The search would combine the two names because it is a well known one and give an output on Michael Jordan. Thus, the pages that would be favored are pages about Michael Jordan.

Answer:

27.03   years

Step-by-step explanation:

The nper excel function can be used to determine the period in which the winnings would last as below:

=nper(rate,pmt,-pv,fv,type)

rate is the annual interest rate on the account

pmt is the amount of annual withdrawal which is $65000

pv is the current amount in the account which is $1,000,000

fv is the future balance in the account after all withdrawals are made i.e$0

type is 1 which  means withdrawals are made at the beginning of the year

=nper(5%,65000,-1000000,0,1)= 27.03  

7x²+5x​

(9x²+8x)-(2x²+3x)

We will subtract the like terms. That means that we will subtract [tex]2x^{2}[/tex] from [tex]9x^{2}[/tex] and 3x from 8x.

Answer:

16 animals

Step-by-step explanation:

It's a step by step approach.

Every monkey had one tortoise in hand.

There was 3 monkeys.

So 3 monkeys had one tortoise making it 3 tortoise.

Since the elephants are all going towards the same River it's definitely that the monkey they all saw is the same 3 set of monkeys.

Then a rabbit .

Total animal = 1 rabbit + 3 monkeys + 3 tortoise + 9 elephants

Total animal= 16 animals

Answer: 44

Step-by-step explanation:

44

Answer:

[tex]-24a^3b^2 -8ab^5\\[/tex]

Step-by-step explanation:

Given the two expression (6a²+2b³) and -4ab², to find their product, the following steps are valid;

[tex]= (6a^2+2b^3) *-4ab^2\\= (6a^2+2b^3)(-4ab^2)\\= (6a^2)(-4ab^2)+(2b^3)(-4ab^2) \\= -24a^3b^2 + (-8ab^5)\\= -24a^3b^2 -8ab^5\\[/tex]

The final expression gives the required product

Answer:

6.09 * 10 ^-3

Step-by-step explanation:

We want one non zero digit to the left of the decimal

Move the decimal 3 places to the right

6.09

The exponent is 3 and it is negative since we move to the right

6.09 * 10 ^-3

Answer:

6.09(10⁻³)

Step-by-step explanation:

Step 1: Put number into proper scientific decimal form

6.09

Step 2: Figure out how many decimals places it moves

Since it moves to the left 3, our exponent would be -3

Answer:

[tex]= \frac{6}{55}[/tex]

Step-by-step explanation:

The computation of experimental probability is shown below:-

The Number of king in a well shuffled deck consists 52 cards which is

= 4

The Number of ways of drawing consists of 4 king in 13 repetitions which is

= [tex]^{13}C_4[/tex]

In 13 repetition, 2 kings are drawn by [tex]^{13}C_2[/tex] way

Now,

[tex]P(E) = \frac{^{13}C_2}{^{13}C_4} = \frac{13 !} {(13-2) ! } / \frac{13 !}{(13 - 4)! 4!}[/tex]

[tex]= \frac{13 !}{11 !\ 2 !} / \frac{13 !}{9 !\ 4 !}[/tex]

[tex]= \frac{9 !\ 4 !}{11 !\ 2!}[/tex]

[tex]= \frac{4\times 3}{11\times 10}[/tex]

[tex]= \frac{6}{55}[/tex]

Therefore for computing the experimental probability we simply applied the above formula.

Answer:

2/13

Step-by-step explanation:

^

Answer: 4 / x^4

Step-by-step explanation:

(20x^-3 / 10x^-1)^2

Simplify,

(2 / x^2)^2

= 4 / x^4

Answer:

Option 2

Step-by-step explanation:

The average temperature in January is -1 degrees celsius. Last year, it was 1 degrees celsius higher than the average.

-1 + 1 = 0

Answer:

The second answer.

Step-by-step explanation:

The average temp. is -1C.

'was 1C warmer' = +1

-1+1=0

Answer:

C. the change in the amount of wheat harvested.

Step-by-step explanation:

Already, the question states "...how much wheat...", which implies that you must find a amount of wheat.

Also, another implication is "...12,000 more..." (emphasis added), which usually amounts to you adding (hence more) to the original amount.

~

C - the change in the amount harvested.

There are three options.

1) The area of the farm

2) The amount of wheat harvested in the later year

3) The change in the amount of wheat harvested.

Let's look at the possible answers.

1) The area of the farm  - it doesn't tell us anything important at all. The area of the farm isn't important in this case. We can cross it off.

2) The amount of wheat harvested in the later year - How much of wheat was harvested in the later year doesn't really tell us anything. If he harvested 60000 bushels the second year, he could have harvested million bushels the third year or 0 bushels the third year. We don't really know and this option won't tell us anything about that.

3) The change in the amount of wheat harvested. - If we know, that he harvested 50,000 bushels the first year and they give us information, that the amount changed by 12,000 between the first and third year, we can do easy math. 50,000+12,000=62,000. Here we are. This option provided us with enough information to solve the problem. That's why it is the most important information.

Answer:

D. 66

Step-by-step explanation:

Well if AD is 100 and AC is 34 that leaves CD so we can just subtraction 34 from 100 and get 66.

Answer:

D. 66

Step-by-step explanation:

AD = 100

AC = 34

The whole line is 100. A part of the line is 34. The other part will be 66.

100 - 34 = 66

Answer:   y=1/8*x+2

Step-by-step explanation:

The equation of any tangent line is y=a*x+b  (1)

To the equation of the tangent line we have to find the coefficients a and b   and the to substitute them to equation (1).

As we know  a=y'(x0) ( where x0=16)

So y'(x)= (√ (x) )' = 1/(2*√x)

a=y'(x0)= 1/(2*√16)=1/(2*4)=1/8

So lets substitute a in equation (1):

y=1/8 *x+b

Now we have to find b

We know that the point (16, 4) belongs to the tangent line.

That means

4=1/8*16+b => 4=2+b => b=2

SO the equation of the tangent line is y=1/8*x+2

Answer:

31,5

Step-by-step explanation:

=7*3+(7*3)/2

Answer:

length x width = area

7 x 3 = 21 so the area of the rectangle is 21

divide 7 by 2 so we can find the length of each triangle. 7 / 2 = 3.5

length (or base) x height / 2 = area of triangle

3.5 x 3 = 10.5

You do not have to divide by two because there are two triangles

10.5 + 21 = 31.5 so the area is 31.5

Hope this helps

Step-by-step explanation:

Answer:

21/5

Step-by-step explanation:

if a/b = c, then b=a/c

in other words:

divide -7/25 by -1/15 to get the answer

It also helps to use the fact that a/b / c/d = a/b * d/c

-7/25 / -1/15 = -7/25 * -15/1

= 105 / 25

= 21 / 5

Answer:

[tex]4 \frac{1}{5} [/tex]

Step-by-step explanation:

[tex] \frac{ - 7}{25} \div x = \frac{ - 1}{15} [/tex]

[tex]x = \frac{ - 7}{25} \div \frac{ - 1}{15} [/tex]

[tex] = \frac{7}{25} \times \frac{15}{1} [/tex]

[tex] = \frac{21}{5} = 4 \frac{1}{5} [/tex]

Answer:

For Ganymede, it is 148,000,000,000,000,000,000,000

and for Pandora, it is 22,000,000,000,000,000,000

Step-by-step explanation:

the e means to have the number after it be an exponent, and the e meaning 10. so their exuations would be:

1.48*10^23

1.48*1,000,000,000,000,000,000,000,000

2.20*10^17

2.20*1,000,000,000,000,000,000

I hope this is helpful.

Weight of Ganymede in kilograms is 148,000,000,000,000,000,000,000 kg and for Pandora  22,000,000,000,000,000,000 kg



The e means to have the number after it be an exponent, and the e meaning 10. so their exuations would be:



1.48*10^23



1.48*1,000,000,000,000,000,000,000,000



2.20*10^17



2.20*1,000,000,000,000,000,000



Learn more about unit conversion here:brainly.com/question/141163



#SPJ2



Answer:

  45°

Step-by-step explanation:

It is useful to have some idea what angles of different measures look like. The attachment may help you match the angle to an appropriate measure.

To me, it looks like a 45° angle.

__

Of course, you can always use a protractor and measure it. Make sure your screen or printer does not distort the image. (Printable versions of protractors are available on-line.)

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: Number of people that support the candidate.

You need to calculate the sample size to estimate the population proportion of supporters given a confidence level of 99% and a margin of error of 4%

The margin of error of the confidence level for the population proportion is

d= [tex]Z_{1-\alpha /2}[/tex] * [tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]

From this formula you have to clear the value of n:

[tex]\frac{d}{Z_{1-\alpha /2}}[/tex]= [tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]

[tex](\frac{d}{Z_{1-\alpha /2}})^2[/tex]= [tex]\frac{p'(1-p')}{n}[/tex]

[tex]n*(\frac{d}{Z_{1-\alpha /2}})^2[/tex]= [tex]p'(1-p')[/tex]

n= [tex]p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2[/tex]

[tex]Z_{1-\alpha/2}= Z_{0.995}= 2.586[/tex]

sample proportion "p'" since there is no sample information, nor any previous information is known, you have to consider it as the "worse case scenario" and use the value of p'= 0.50

d= 0.04

[tex]n= p'(1-p') * (\frac{Z_{1-\alpha/2}}{d} )^2= 0.5*0.5*(\frac{2.586}{0.04} )^2= 1044.9= 1045[/tex]

She has to take a sample of 1045 people to estimate the population proportion of her supporters with a confidence level of 99% and a margin of error of 4%

I hope this helps!

Answer:

The coordinates of the intersection of the three altitudes = (-3.5, -1)

Step-by-step explanation:

The altitude of a triangle is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

There are therefore three altitudes possible in a triangle, one from each vertex. All three altitudes always intersect at the same point called the orthocenter of the triangle.

Let the triangle ABC have altitudes AD, BE and CF as shown in the attached image to this solution. Let the orthocentre be O.

The point O is the point where all the coordinates AD, BE and CF meet.

Hence, to obtain the coordinates of O, we just need to equate the equations of two of the lines that serve as the altitude.

Before that, we need to c9mpute the equations of the two altitudes that we will use.

Noting that the altitudes are perpendicular to the sides of the triangle, we can compute the slopes of the altitudes from caldilating the slopes of the sides.

Slope of AB

= (y₂-y₁)/(x₂−x₁)

= (-5 - (-2))/(7 - (-5))

= (-3/12)

= (-1/4)

Slope of its altitude, CF

= -1 ÷ (Slope of AB)

= -1 × (-1/4)

= 4

The equation of CF is given using point C as,

y – y₁ = m(x – x₁)

y - 1 = 4 (x – 3)

y - 1 = 4x - 12

y = 4x + 13

Slope of BC

= (y₂-y₁)/(x₂−x₁)

= (1 - (-5))/(3 - 7)

= (6/-4)

= (-3/2)

Slope of AD

= −1 ÷ (Slope of BC)

= -1 ÷ (-3/2)

= (2/3)

The equation of AD using point A given as,

y – y₁ = m(x – x₁)

y – (-2)) = (2/3) (x – (-5))

y + 2 = (2x/3) + (10/3)

y = (2x/3) + (4/3)

Now equation the equations of the altitudes CF and AD

y = 4x + 13

y = (2x/3) + (4/3)

4x + 13 = (2x/3) + (4/3)

4x - (2x/3) = (4/3) - 13

(10x/3) = (-35/3)

10x = -35

x = -3.5

y = 4x + 13

y = (4×-3.5) + 13 = -14 + 13 = -1

coordinates of the orthocentre of the triangle = (-3.5, -1)

Hope this Helps!!!

Step-by-step explanation:

to be honest I'm not sure how to do

Comment

Answer:

Anxiety score close to 54.58.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 48, \sigma = 4[/tex]

Approximately what anxiety test score would put someone in the top 5 percent?

We have to find the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 48}{4}[/tex]

[tex]X - 48 = 1.645*4[/tex]

[tex]X = 54.58[/tex]

Anxiety score close to 54.58.