Find the coordinates of the intersection of the diagonals of parallelogram GHJK with vertices G (-4,5), H (3,5), J (2, -1), and
K(-5, 1)

I don't know what kind of calculator you have at your disposal, so I'll just give one way of computing the sample mean and standard deviation.

• To get the mean, add up all the data points and divide the total by the number of data:

[tex]\bar x = \displaystyle \sum_i \frac{x_i}n = \frac{1243+1264+\cdots+1275}9 \approx 1273.89 \\ \implies \boxed{\bar x \approx 1274}[/tex]

• To get the s.d. s, first compute the variance s² by adding up the squared difference between each of the data points and the sample mean, and divide the total by 1 less than the number of data:

[tex]s^2 = \displaystyle \sum_i \frac{\left(x_i-\bar x\right)^2}{n-1} = \frac{(1243-1274)^2+(1264-1274)^2+\cdots+(1275-1274)^2}8 \approx 1211.61[/tex]

The s.d. is the square root of the variance:

[tex]s^2 \approx 1211.61 \implies s \approx 34.8082 \implies \boxed{s\approx 35}[/tex]

The 90% confidence interval for the sample mean has upper and lower limits, respectively, of

[tex]\bar x \pm \dfrac{\left|Z_{\alpha/2}\right| s}{\sqrt n}[/tex]

(positive root for upper limit, negative root for lower limit)

where [tex]Z_{\alpha/2}[/tex] is the critical value for a (1 - α)×100% confidence level. By critical value, I mean

[tex]\mathrm{Pr}\left[ Z \le Z_c \right] = c[/tex]

where Z is a random variable following the standard normal distribution.

In this case, we have a 90% confidence level, so α = 0.1, and the critical value is [tex]Z_{0.05} \approx -1.64[/tex]. Then the confidence interval has upper limit

[tex]\bar x + \dfrac{\left|Z_{0.05}\right|s}{\sqrt n} = 1274 + \dfrac{1.64 \times 35}{\sqrt9} \approx 1292.97 \approx \boxed{1293}[/tex]

and lower limit

[tex]\bar x - \dfrac{\left|Z_{0.05}\right|s}{\sqrt n} = 1274 - \dfrac{1.64 \times 35}{\sqrt9} \approx 1254.8 \approx \boxed{1255}[/tex]

Answer:

D

Step-by-step explanation:

D)

13% of x is 2600

13% = 13/100

⇒ (13/100)x = 2600

⇒ 13/100 = 2600/x

FYI A) gives the same value of x as D)

Answer:

Its A x=21/4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

i kinda like ixl but the answer is yes

Step-by-step explanation:

Yes these side lengths can make a triangle

The triangle side length rule states that any 2 sides of a triangle are greater than the other side.

Let's use this rule to determine if these side lengths can make a triangle.

4+7=11 and 11 is greater than 10.

4+10=14 and 14 is greater than 7.

7+10=17 and 17 is greater than 4.

These side lengths can make a triangle.

Answer :

2nd  One

Explanation : 1st Is 498.75 And 2nd One Is 300.00

Answer:

■ Find the number pairs of 48 and 56

➢ GCF of 48 and 56 by Listing Common Factors

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56.

[tex]TextFromYourMrEx[/tex]

#CarryOnLearning

Answer:

B

Step-by-step explanation:

<3 and <2 are on a straight line.a straight line is 180° .so <3 +<2=180.angles which add up to 180 ° are said to be supplement

The best statement in geometric proof that proves the theorem that vertical angles are equal [tex]\angle2 + \angle3 = 180^{\circ}[/tex]  because ∠2 and ∠3 are linear pair.

In the given proof, where the angles are labeled as ∠1, ∠2, ∠3, and ∠4,  demonstrate the equality of vertical angles by utilizing the concept of a linear pair:

Step 1: Given two lines intersect.

Step2:

Step 3:

Step 4:

By following this step-by-step geometric proof,  establish that the best statement to prove the theorem "Vertical angles are equal when two lines intersect" is the statement that defines vertical angles as "Vertical angles are formed by adjacent angles sharing a common side

Learn more about geometric proofs here:

https://brainly.com/question/2065148

#SPJ6

Answer:

13

Step-by-step explanation:

[tex]4(3 + \frac{1}{4} )[/tex]

4 × 3 = 12

4 × ¼ = 4 ÷ 4 × 1 = 1

[tex]4( 3 + \frac{1}{4} ) = 12 + 1[/tex]

[tex]12 + 1 = 13[/tex]

_________________________

Answer:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

Step-by-step explanation:

1. 4x ≤ 25

⇒ x ≤ 6.25

2. x + 4 < 25

⇒ x < 21

3. x + 4 ≥ 25

⇒ x ≥ 21

4. 4 + x ≤ 25

⇒ x ≤ 21

Answer:

3 1/8

Step-by-step explanation:

3 1/2 can also be represented as 3 4/8. Knowing this, we can apply it to the equation.

6 5/8 - 3 4/8

= 3 1/8 or 25/8

Answer:

I dont really know if i understand the problem fully but i hope this is what you are looking for:

Step-by-step explanation:

A prediction for yes votes you round all the results and add = 300 real answer: 285

Poll number: 50, real: 40

Yes votes (#2) 290, real: 294

In conclusion you get 300, 50, 290 I think.

Answer:

peremiter is=35        Area is=3780

Step-by-step explanation:

Answer:

as a decimal- 0.375

as a percentage- 37.5%

Step-by-step explanation:

schoolwork helps

Answer:

y = 4x

Step-by-step explanation:

Amanda: y = 3.5x

Hunter:

      x             y      

      1              4      

      3             12    

      5             20    

y = (?)x

4 = (4)1

12 = (4)3

20 = (4)5

Answer:

C

Step-by-step explanation:

609/504 = 1.208333333

58/48 = 1.208333333

They are proportional since they divide to the same number.

He caught 22 but put 5 back so had 22-5 = 17 fish

He then caught 12 more for a total of 17 + 12 = 29

Answer: 29 fish.

Answer:

The answer is 29 (so you were right!)

Step-by-step explanation:

He had 22 fish, and he threw 5 back

22 - 5 = 17

He caught 12 more in the afternoon

17 + 12 = 29

So, 29 is your answer.

Answer:

option A [tex](4, \frac{7}{2})[/tex] is the midpoint.

Explanation:

To find midpoint: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

We shall use this formula here:

[tex](\frac{9+-1}{2}, \frac{5+2}{2})[/tex]

[tex](\frac{8}{2}, \frac{7}{2})[/tex]

[tex](4,3.5)[/tex]

Answer:

2a + 4a-17 + 3a - 10 = 180

9a - 27 = 180

+27

9a. =207

÷9

a= 23

Check:

2x23=46

4x23 - 17 =75

3 x 23 - 10 =59

Angle on straight lines adds to 180 (46+75+59=180)

Hope this helps!

Answer:

513,000,000

Step-by-step explanation:

To write five hundred thirteen million in numbers change “five hundred thirteen million” to “513”, then multiply 513 by 106.

Alternatively, move the decimal point 6 places to the left:

513 × 106 = 513000000,

513 → 5,130 → 51,300 → 513,000 → 5,130,000 → 51,300,000 → 513,000,000.

Besides, five hundred thirteen million means:

513 × 10^6

513000000 as a whole number

513M in abbreviated form

[RevyBreeze]

Answer:

n = -5/12

Step-by-step explanation:

1/3 = n + 3/4

Now, get equal denominators:

4/12 = n + 9/12

Now, solve:

n = -5/12

Hopefully this helps!

Brainliest please?

Answer:

x=1÷x+1

NOW

or,x=1÷×+1

or,xsquare=1÷1

or,xsquare=1

or,h=1 answer

Answer:

Step-by-step explanation:

THE answer is 6

First Calculate the number of action figures sold on Monday:

8 comic books for every 3 action figures

32 comic books =? action figures

8 x 4 = 32

so, 3 x 4 = 12 action figures sold on Monday

next Find the difference between the number of action figures sold on Monday and Tuesday

They're asking for the difference, so you subtract

18 - 12 = 6

Hence, the difference in the number of books on Monday and Tuesday is 6

Answer:

c. [tex]x^7\sqrt x[/tex]

Step-by-step explanation:

Find the largest square factor of [tex]x^{15}[/tex], which is [tex]x^{14}=(x^7)^2[/tex]. This gives [tex]\sqrt{x \cdot (x^7)^2[/tex]. Taking the square factor out gives [tex]x^7 \sqrt x[/tex], or choice c.

Answer:

  a.  see attached

  b.  $140

Step-by-step explanation:

The graph starts at y=65 when x=0 and increases by 25 for each increase of 1 in x. The attachment shows a graph of the equation.

__

Use x=3 in the equation.

  -25x +y = 65

  y = 65 +25x = 65 +25(3) = 140

A bracelet with 3 charms costs $140.

Answer:

35/5=7 ez math why are you asking

Answer:

19.5

Step-by-step explanation:

We are given the pair of angles are vertical angles, meaning they are congruent or equal. We can use this to set up an equation to solve for x...

46=2x+7

Subtract 7 from both sides

39=2x

Divide both sides by 2

x=19.5

Answer:

3.875

Step-by-step explanation:

I just kinda know I'm good with cups and gallons

Answer:

700 by 70

Step-by-step explanation:

The equation for perimeter is 2(l + w). Since the length has an assigned value, l will become 10w.

2(10w + w) = 1540

First, add the parenthetical expression to get 11w.

2(11w) = 1540

Now, DISTRIBUTE! 2(11w) becomes 22w.

22w = 1540

Lastly, divide by 22 to get 70. You can also say that this could be 22w = 154 * 10. 22 * 7 is 154 (140 + 14), and 7 * 10 is 70.

w = 70

Now that we know the width, substitute 70 for w in the 10w expression.

l = 10(70)

Just multiply and you'll get 700.

l = 700

Now we know the dimensions to be 700 * 70 (or 70 * 700; I just prefer to put the length first)

Answer:

C. 52.5cm^2

Step-by-step explanation:

Area of a triangle - A=1/2bh  or  area=1/2 base times height

Area of a rectangle -  A=lw   or area=length times width

Separate the shapes first, you would draw a line between the two if this was on paper.

Find the separate areas.
Rectangle area:

8*5=40

Triangle area:

find the height first. the height of this triangle is the same as the length of the rectangle minus the 1 and 2 cms.

8-1-2=5

1/2*5*5=12.5

Now add the areas:

40+12.5=52.5cm^2

Answer:

22 feet shadow, I'm sorry if this is incorrect-