Please answer this question in two minutes

Answer:

  (x, y) = (25, 18)

Step-by-step explanation:

Use the angle sum theorem. You can write equations for the right angle and for the linear angle.

  (x +11) +(3y) = 90 . . . . sum of angles making the right angle

  (y +7) +90 +65 = 180 . . . . sum of angles making the linear angle

From the second equation, we have ...

  y = 18 . . . . subtract 162

Substituting into the first equation gives ...

  x + 11 + 3(18) = 90

  x = 25 . . . . subtract 65

The values of x and y are 25 and 18, respectively.

_____

Check

VQ = 18+7 = 25

QR = 25 +11 = 36

RS = 3·18 = 54

ST = 65

The totals are 36 +54 = 90; 25 +36 +54 +65 = 180, as required.

Answer:50.18

Step-by-step explanation:

8x+17+9x+11=102

17x+28=102

-28. -28

17x=74

<CAD=9x+11=50.18

x=74/17

Answer:

$1,06

Step-by-step explanation:

Calculation for dividend per share of common stock for board of directors of Midwest Foods

First step is to find the amount of dividends due to the preferred shareholders

Using this formula

Total Dividend =Dividend- (Preferred stock *Per share of preferred stock )

Let plug in the formula

Total Dividend =$3,500,000-($300,000*$2.85)

Total Dividend =$3,500,000-$855,000

Total Dividend =$2,645,000

The second step is to find Dividend per share of common stock

Using this formula

Dividend per share of common stock=Total dividend/Shares of common stock

Let plug in the formula

Dividend per share of common stock=$2,645,000/$2,500,000

Dividend per share of common stock=$1.06

Therefore the dividend per share of common stock for board of directors of Midwest Foods will be $1.06

Answer:

32 feet

Step-by-step explanation:

area of square is given by side^2

Perimeter of  square is given by 4*side

_______________________________

Given

area of square = 64 sq feet

side^2 = 64

side^2 = 8^2

side = 8

thus side = 8 feet

_______________________________________

The dog pen is fenced with chain, hence chain will be fence at the edge of square and at the perimeter.

Thus, length of chain required will be same as the Perimeter of  square.

Perimeter of given dog pen with side length 8 feet = 4*8 = 32 feet.

Thus, 32 feet of chain fence is required.

Answer:

no supplement

Step-by-step explanation:

Supplementary angles add to 180 degrees,

This angle is larger than 180 degrees by itself, so it has no supplement

Answer:

divided by 6

Step-by-step explanation:

Given pattern

360,60,10

would it be add 60

lets

add 60 to each term

360 +60 = 420

but next term is 60, hence it incorrect choice

divided by 6

lets divide each term by 6

360/6 = 60 which is the next term in the series as well

60/6 = 10 which is also the next term in the series as well

hence divided by 6 is the correct option.

multiply by 6

multiply by 6 to each term

360 *60 = 21600

but next term is 60, hence it incorrect choice

subtract 60 from each term

360 -300 = 60 which is the next term in the series

60 -300 = -240 which is not same the next term in the series that is 10

hence this is incorrect choice

Answer:

20% of people jumped the turnstile, 80% of people paid

Step-by-step explanation:

Percentage is a ratio of one part to another part which it is a member of.

In this scenario, we are given that 12 out of 60 people did not pay as they jumped the turnstile; to calculate this as a percentage, we can simply divide 12 by 60 to find the decimal value of 0.2; when 0.2 is converted to a value out of 100, we find that it gives us 20% (0.2/1=x/100, x=0.2*100, x=20)

Assuming everyone else pays, and by taking the complementary members of the total group, we find that 80% of people will have paid.

Answer:

[tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]

Step-by-step explanation:

Let the first number is x1 and other number is y1 then

[tex]x1 * y1 =216[/tex]

Therefore

[tex]y1=[/tex][tex]\frac{216}{x1}[/tex]

also there sum is

[tex]s1 =x1+y1[/tex]....Eq(1)

Putting the value of y1  in the previous equation

[tex]s1\ =x1 + \frac{216}{x1}[/tex]........Eq(2)

Differentiate the the Eq(2) with respect to x1 we get

[tex]\frac{ds1}{dx1} \ =\ 1+216*\frac{1}{-x1^{2} }[/tex]

[tex]\frac{ds1}{dx1} \ =\ 1-\frac{216}{x1^{2} }\ =\ 0[/tex]

[tex]{x1^{2} }\ =\ 216\\ x1=\sqrt{216}[/tex]

Putting the value of X1 in Eq(1) we get

[tex]y1=\frac{216}{\sqrt{216} } \\y1=\frac{216*\sqrt{216} }{216} \\y1=\ \sqrt{216}[/tex]

So [tex]x1=\sqrt{216} \ and \ y1=\ \sqrt{216}[/tex]

Answer:

0.0066

Step-by-step explanation:

The x has a distribution that is approximately normal. For normal distribution the probability of x will be,

u = 12 and 18

P (12 [tex]\leq[/tex] [tex]x[/tex] [tex]\leq[/tex] 18)

P (- 2.3  [tex]\leq[/tex] [tex]x[/tex] [tex]\leq[/tex] 2.85 )

P (0.9912 - 0.9978)

= 0.0066

Answer:

I saw one person that way

Step-by-step explanation:

she had red hair and green eyes with pale skin

Answer:

41.67%  probability of the sum of the dots indicate a sum less than or equal to 6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

In this problem, we have these possible outcomes:

Format(Dice A, Dice B)

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

There are 36 possible outcomes.

Desired outcomes:

Sum of 6 or less. They are:

(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)

15 desired outcomes

15/36 = 0.4167

41.67%  probability of the sum of the dots indicate a sum less than or equal to 6

Answer:

[tex]-14x^4+71x^3-61x^2+30x-6[/tex]

Step-by-step explanation:

All we are doing is distributing each number of the 1st equation to the 2nd equation to get our answer. Once we do so, we combine like terms and we get our answer.

Answer:

If the radius is really 5.2, then the standard equation of this circle is:

[tex](x-4)^2+(y+2)^2=27.04[/tex]

Now, if there was a typo in your question, and the radius is  "5", then, the equation becomes:

[tex](x-4)^2+(y+2)^2=25[/tex]

Step-by-step explanation:

Recall that the standard equation for a circle of radius R, centered at [tex](x_0,y_0)[/tex], is given by:

[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]

Therefore in the case of a circle of radius R = 5.2, and centered at (4, -2), we have:

[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-4)^2+(y-(-2))^2=(5.2)^2\\(x-4)^2+(y+2)^2=27.04[/tex]

Answer:

(a) 2.3

(b) 0.5245

(c) 0.7242

(d) 0.5245

Step-by-step explanation:

The data provided is:

S = {180.5, 181.7, 180.9, 181.6, 182.6, 181.6,  181.3, 182.1, 182.1, 180.3, 181.7, 180.5}

(a)

The formula to compute the sample range is:

[tex]\text{Sample Range}=\text{max.}_{x}-\text{min.}_{x}[/tex]

The data set arranged in ascending order is:

S' = {180.3 , 180.5 , 180.5 , 180.9 , 181.3 , 181.6 , 181.6 , 181.7 , 181.7 ,, 182.1 , 182.1 , 182.6}

The minimum value is, 180.3 and the maximum value is, 182.6.

Compute the sample range as follows:

[tex]\text{Sample Range}=\text{max.}_{x}-\text{min.}_{x}[/tex]

                       [tex]=182.6-180.3\\=2.3[/tex]

Thus, the sample range is 2.3.

(b)

Compute the sample variance as follows:

[tex]S^{2}=\frac{1}{n-1}\sum(x_{i}-\bar x)^{2}[/tex]

     [tex]=\frac{1}{12-1}\times [(180.5-181.41)^{2}+(181.7-181.41)^{2}+...+(180.5-181.41)^{2}]\\\\=\frac{1}{11}\times 5.7692\\\\=0.524473\\\\\approx 0.5245[/tex]

Thus, the sample variance is 0.5245.

(c)

Compute the sample standard deviation as follows:

[tex]s=\sqrt{S^{2}}[/tex]

  [tex]=\sqrt{0.5245}\\\\=0.7242[/tex]

Thus, the sample standard deviation is 0.7242.

(d)

Compute the sample variance using the shortcut method as follows:

[tex]S^{2}=\frac{1}{n-1}\cdot [\sum x_{i}^{2}-n(\bar x)^{2}][/tex]

     [tex]=\frac{1}{12-1}\cdot [394913.57-(12\times (181.41)^{2}]\\\\=\frac{1}{11}\times [394913.57-394907.80]\\\\=\frac{5.77}{11}\\\\=0.5245[/tex]

Thus, the sample variance is 0.5245.

Answer:

(a) There are 12 values in the data set which are greater than or equal to 10 and less than or equal to 19.

(b) There are 12 values in the data set which are greater than or equal to 30 and less than or equal to 39.

(c) There are 7 values in the data set which are greater than or equal to 40 and less than or equal to 49.

Step-by-step explanation:

We are given a set of data that is summarized by the stem and leaf plot below;

Steam Leaf

1  0 0 2 4 4 4 7 8 8 8 8 9

2  2 2 5 5 7 8

3  3 4 4 5 5 5 6 6 6 7 9 9

4  3 3 3 5 5 7 9

This shows that the data values are: 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19, 22, 22, 25, 25, 27, 28, 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39, 43, 43, 43, 45, 45, 47, 49.

(a) From the data above, the number of values in the data set which are greater than or equal to 10 and less than or equal to 19 is 12, i.e; 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19.

(b) From the data above, the number of values in the data set which are greater than or equal to 30 and less than or equal to 39 is 12, i.e; 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39.

(c) From the data above, the number of values in the data set which are greater than or equal to 40 and less than or equal to 49 is 7, i.e; 43, 43, 43, 45, 45, 47, 49.

Answer:5,9

Step-by-step explanation:

Answer: 2.06

Step-by-step explanation:

Remember if the number is greater than 5 round up, if it is less than 5 don't round up.

After round off the number 2.0625 to its nearest hundredth, it is 2.06.

When we round to the nearest hundredth, we follow the rule that says:

The given number is 2.0625

In this number, the thousandth digit is 2 that is less than 5.

So we round down the hundredth place. The hundredth digit is 6 which remain 6 after rounding down.

So, the rounded number will be 2.06.

Hence, when we round 2.0625 to its nearest hundredth, it will be 2.06.

Learn more about round off the numbers here:

https://brainly.com/question/30453145

#SPJ6

Answer:

yes

Step-by-step explanation:

y = 19+ 3x

Let x = 3 and y = 28

28 = 19 + 3*3

28 =19+9

28 = 28

This is true so the point is one the line

Answer:

Step-by-step explanation:

An isosceles triangle is a triangle in which two of its sides are equal. This also means that in the triangle, two angles are equal. The angles are usually the base angles. Looking at the given triangle ABC, the base angles are angle Angle A and Angle B, thus angle A = ang B

Therefore, the statement that can be used in the proof is

Angle CAB = angle CBA

Answer:

coefficient of variation = 7.108%

Step-by-step explanation:

From the given information:

The objective is to determine the  coefficient of variation for the prices of tickets purchased 30 days in advance is ____%

The mean [tex]\overline x[/tex] = [tex]\dfrac{250+286+305+256+288+282+254}{7}[/tex]

The mean [tex]\overline x[/tex] = [tex]\dfrac{1921}{7}[/tex]

The mean [tex]\overline x[/tex] = 274.4285714

The standard deviation also can be computed as follows:

[tex]\sigma =\sqrt{ \dfrac{\sum (x_i-\mu)^2}{N}}[/tex]

[tex]\sigma =\sqrt{ \dfrac{ (250-274.43)^2+(286-274.43)^2+(305-274.43)^2+...+(254-274.43)^2}{7}}[/tex][tex]\sigma =19.507[/tex]

Finally; the coefficient of variation can be calculated with the formula:

coefficient of variation = [tex]\dfrac{\sigma}{\overline x}[/tex]

coefficient of variation = [tex]\dfrac{19.507}{274.43}[/tex]

coefficient of variation = 0.07108

coefficient of variation = 7.108%

Answer:

Step-by-step explanation:

133 is the product of -19 and n

Translate to an equation is:

133 = -19n

then:

n = 133/-19

n = -7

Check:

133 = -19*7

Answer:

-2

Step-by-step explanation:

To find the slope: Rise/Run

You go 2 steps down for every step you go right.

Your rise is -2 and your run is 1.

So your slope is -2.

Answer:

-2

Step-by-step explanation:

Get two points that intersect that line.

(1, 5) and (2, 3)

Find the rise and run.

As we can see to get from (1,5) to (2,3), we have to go to the right by 1 and go down by 2 (in this case the movement is -2 steps).

rise/run

-2/1 = -2

Answer:

same slope and same y intercept

Step-by-step explanation:

y + 11 = -7/9 (x - 18)

y + 11 = -7/9x + 14

y = -7/9x + 3

Answer:

An independent sample.

Step-by-step explanation:

In this scenario, to compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected. We can safely conclude that this study uses an independent sample design.

An independent sample design can be defined as a research method that usually involves the use of multiple experimental groups (two or more). The samples or participants are only in one group and as such each group has no relationship with the other. This simply means that, the samples in a particular group is having no relationship with the other samples in another group.

Ultimately this implies, each samples are independent and satisfies only one condition of the independent sample design during the experiment to compare the production technique used by foreign and local firms in Brazil.

Hence, the researcher would use only two variables or conditions: a random sample of 80 foreign firms and a random sample of 80 local firms are selected.

Answer:

Step-by-step explanation:

From the given information:

The study group includes Girls and Boys

So; we can have a table

Groups        Treatment ( Recruiting services)            Points

Girls              likely to be in School  and increase        3-5 %

                    in Body Mass Index, reflecting greater

                    nutrition and/or medical care.                    

                    Net gain in height                                         -

Boys            likely to be in School  and increase        No changes

                    in Body Mass Index, reflecting greater

                    nutrition and/or medical care.                    

                    Net gain in height                                      No changes

Why do you think the author points out the lack of change in the boys?

From the information above; we need to understand that the point the  author is trying to express is that the  Recruiting services Treatment are largely beneficial for the females rather than the males.

Answer:

891

Step-by-step explanation:

x has to be 1001 and y has to be 11 * 10 = 110 so x - y = 1001 - 110 = 891.

Answer:

891

Step-by-step explanation:

[tex]$1001$ is the smallest integer greater than $1000$. It also happens to be a multiple of $11$, since $1001 = 11 \cdot 91$. So $1001$ is the smallest multiple of $11$ greater than $1000$ and thus $x = 1001$.The greatest multiple of $11$ that is less than $11^2 = 11 \cdot 11$ is$$11 \cdot (11 - 1) = 11 \cdot 10 = 110$$Thus $y = 110$, and we compute$$x - y = 1001 - 110 = \boxed{891}$$[/tex]

Hope this helped! :)

Answer:  0.627 or 62.7 %

Step-by-step explanation:

The probability that shipment will be rejected P(rejected) = 1- probability that shipment will be accepted.

P(rejected)= 1-P(accepted)

P(accepted) is equal to probability when all 10 watches are not defective.

The probability that 1st one randomly selected watches are not defective is 51/60  (51 watches are not defective and 9 are defective)

The probability that 2-nd one randomly selected watches are not defective is  50/59 ( because the total number of the watches now is 1 unit less 60-1=59, and the total number of not defective watches is 1 unit less 51-1=50 units)

The probability that 3rd one randomly selected watches are not defective is 49/58  (49 watches are not defective total number of watches is 58)

Similarly P(4th)= 48/57  P(5th)=47/56   P(6th)=46/55  P(7th)=45/54

P(8th)=44/53  P(9th)=43/52  P(10th)=42/51

So P(accepted)= P(1st)*P(2nd)*P(3rd)*P(4th)*P(5th)*P(6th)*P(7th)*P(8th)*P(9th)*P(10th)=

=51*50*49*48*47*46*45*44*43*42/(60*59*58*57*56*55*54*53*52*51)=

= approx= 0.373

So P(rejected)=1-0.373=0.627

Answer:

Q = (- 3, 5 )

Step-by-step explanation:

Given the 2 equations

3y - 2x = 21 → (1)

4y + 5x = 5 → (2)

Multiplying (1) by 5 and (2) by 2 and adding will eliminate the x- term.

15y - 10x = 105 → (3)

8y + 10x = 10 → (4)

Add (3) and (4) term by term to eliminate x

23y = 115 ( divide both sides by 23 )

y = 5

Substitute y = 5 into either of the 2 equations and solve for x

Substituting into (2)

4(5) + 5x = 5

20 + 5x = 5 ( subtract 20 from both sides )

5x = - 15 ( divide both sides by 5 )

x = - 3

Solution is (- 3, 5 )

Answer:

there is no inequality..

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

The probability of rolling a number greater than 1 is 5/6, because 5 numbers on a 6-sided dice are greater than 1.

The probability of rolling an even number is 3/6, because 3 numbers on a 6-sided dice are even numbers.

[tex]5/6 \times 3/6[/tex]

[tex]=15/36[/tex]

[tex]=5/12[/tex]