Identify a set of parallel and a set of perpendicular lines in this image

Answer:

x = 21 and y = 3

Step-by-step explanation:

We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:

One number is six more than five times another number.

x = 5 y + 6

the sum of the numbers is 24

x + y = 24

solve for x in the second equation:

x = 24 - y

Use this to replace x in the first equation:

24 - y = 5 y + 6

add y to both sides

24 = 6 y + 6

subtract 6 from both sides to isolate the term in y

18 = 6 y

divide both sides by 6

y = 3

And now we can find x using:

x = 24 - y = 24 - 3 = 21

Therefore, x = 21 and y = 3

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Let P(X = x) mark x model number classified correctly.

The mass function of the probability:

[tex]\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\[/tex]

[tex]x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127[/tex]

Answer:

......

Step-by-step explanation:

Answer

11 inches by 8.5 inches

Step-by-step explanation:

We can use proportions to solve this problem, drawing on top, real life on bottom

1/2 inch           x inches

-------------- = ----------

1 ft                  22ft

Using cross products

1/2 * 22 = x*1

11  =x

11 inches

1/2 inch           x inches

-------------- = ----------

1 ft                  17ft

Using cross products

1/2 * 17 = x*1

8.5 =x

Answer:

m∠F = 90°

Step-by-step explanation:

By the property of a kite,

"One pair of the opposite angles are congruent"

m∠E ≅ m∠G

m∠E = m∠G = 113°

Sum of the interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides of the polygon

For a kite, n = 4

Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°                                                                          

                                                                                          = 360°

Therefore, m∠E + m∠F + m∠G + m∠H = 360°

113° + m∠F + 113° + 44° = 360°

m∠F = 360° - 270°

m∠F = 90°

Goron should get 98 votes

The question breaks down to taking 35% of 280.  

Votes = 35/100 * 280 = people who will vote for Goron

Votes = 9800 / 100 = people who will vote for Goron.

Votes = 98

Answer:

A s h i t load

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

156+126=282 & 386-282=104 so,the answer is 104

Answer:

30 is the ratio

Step-by-step explanation:

-_-

Answer:

d

Step-by-step explanation:

Answer:

option B, 13 to the 3rd power

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x,y)=(5,4)

Answer: c

Step-by-step explanation:

65%

Convert fraction (ratio) 13 / 20 Answer: 65%

Answer:

5/4 ÷ 3/8

Step-by-step explanation:

Answer:

D) 210 in²

Step-by-step explanation:

Solve for KM.

8²+b²=17²

64+b²=289

b²=289-64

b²=225

b=√225

b=15 (Which is the length of KM, the height of the triangle)

Area=1/2bh

A=1/2(28)(15)

A=210

Answer:

4x+10

Step-by-step explanation:

Slope form: mx+b

Slope formula: y2-y1/x2-x1

(2, 18) (3,22)

22-18=4

3-2= 1

4/1=4

4x+10

Answer:

4

Step-by-step explanation: add 10 with 4 then subtract 10

Answer:

9 cookies

Step-by-step explanation:

36 - 18 = 18

18 - 9 = 9

Hope that helps!

Answer:

Step-by-step explanation:

You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars

The total tickets sold on Saturday was 50

The train station made 120

How many adult tickets and kid tickets did they sell?

(40 kids, 10 adults)

A pen cost $40 and the book cost $10

The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.

x + y = 50 ....... i

2x + 4y = 120 .... ii

Let x = pen

Let y = book.

From equation i, x = 50 - y

Since 2x + 4y = 120

2(50 - y) + 4y = 120

100 - 2y + 4y = 120

Collect like terms

-2y + 4y = 120 - 100

2y = 20

y = 10

Therefore, a book cost $10

Since x + y = 50

x + 10 = 50

x = 50 - 10

x = 40

A pen cost $40

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Answer:

-1

Step-by-step explanation:

What ever number is in front of x that is the answer. If there is only a x then it means 1.

Answer:

-7•5+3k+3•5+4k

-7•5+3•5+4k+3k

-4+7k

Answer:

T = 2.5

Step-by-step explanation:

Hope this helps!

Answer:

T >2.5

Step-by-step explanation:

Answer:

C) 27 degrees

Step-by-step explanation:

N+63=90

-63. -63

N=27

Answer:

343

Step-by-step explanation:

Answer:

I am you helper

Step-by-step explanation:

Table for the question is attached in the picture below :

Answer:

SELECT distinct(TRUCK_ID), WEIGHT from SHIPMENT where WEIGHT < 800 ;

Step-by-step explanation:

The Structured query language (SQL) defined above, returns only the TRUCK_ID and Weight column from the shipment table as they are the only two columns listed after the select keyword. The condition is added using the WHERE keyword on the weight table, this filters the result returned to include only rows where the weight value is less than 800. The distinct keyword used alongside the TRUCK_ID column ensures that a certian TRUCK_ID value isn't returned more than once (Hence, it is used to avoid duplicates).

Answer:

0.01521

Step-by-step explanation:

The Margin of Error for Difference in Proportions is given as:

z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2

z = z score for 95% confidence interval

= 1.96

In 2018, out of 1542 respondents, 415 said it was the most important.

p1 = x1/n1

x1= 326 n1 = 1323

p1 = 326/1323

0.246409675

Approximately = 0.246

In 2012, out of 1323 respondents, 326 said it was the most important.

p2 = x2/n2

x2 = 415, n2 = 1542

p2= 415/1942

p2 = 0.2136972194

Approximately = 0.214

Margin of Error =

1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542

1.96 × √0.0005699169 - 0.0005097276

1.96 × √(0.0000601893)

1.96 × 0.0077581763

= 0.0152060256

Approximately = 0.01521

Therefore, Margin of Error = 0.01521

You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are  [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:

[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]

where we have:

[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]

and

[tex]\alpha = \text{Level of significance}[/tex]

[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]

For 95% confidence, we have Z score as 1.96

The proportions are calculated as:

[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]

Thus, margin of error is calculated as

[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]

The margin of error with 95% confidence for the given data is given by

MOE = 0.32

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