Find the common difference of the arithmetic sequence 10,1,-8,...

Answer: Choice A

U = (x+3)

V = 7

===========================================

Explanation:

If we let U = (x+3), then the original expression turns into U^2 + 14U + 49

This factors to (U+7)^2 when using the perfect square factor rule which in general is (a+b)^2 = a^2+2ab+b^2

Comparing the last term 49 with b^2, we see that b^2 = 49 leads to b = 7

So that must mean V = 7 in order to have

(U+V)^2 = U^2+2UV+V^2 = U^2 + 14U + 49

be a true statement

Answer:

[tex]d = 9.2[/tex]

Step-by-step explanation:

Given

Points: (-2,-2) and (0,7)

Required

Determine the distance between them.

Distance is calculated as thus:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where:

[tex](x_1,y_1) = (-2,-2)[/tex]

[tex](x_2,y_2) = (0,7)[/tex]

So, we have:

[tex]d = \sqrt{(0 - (-2))^2 + (7 - (-2))^2}[/tex]

[tex]d = \sqrt{(0 +2)^2 + (7 +2)^2}[/tex]

[tex]d = \sqrt{2^2 + 9^2}[/tex]

[tex]d = \sqrt{4 + 81}[/tex]

[tex]d = \sqrt{85}[/tex]

[tex]d = 9.2[/tex] --- Approximated

Answer:

39,443

-

3,757=

36, 3 1 1 4

Answer:

Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.

Step-by-step explanation:

We are given that a hypothesis test of the given claim is conducted. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand.

Let p = the proportion of Americans that have seen a UFO

So, Null Hypothesis, [tex]H_0[/tex] : p = [tex]\frac{2}{1000}[/tex] = 0.002

Alternate Hypothesis, [tex]H_A[/tex] : p < [tex]\frac{2}{1000}[/tex] ⇒ p < 0.002

Here, the null hypothesis states that the proportion of Americans that have seen a UFO is equal to 2 in a thousand.

On the other hand, the alternate hypothesis states that the proportion of Americans that have seen a UFO is less than 2 in a thousand.

Now, the type I error states that the probability of rejecting the null hypothesis given the fact that the null hypothesis is true. Or, it is the probability of rejecting a true hypothesis.

So, in this context, the type I error is to Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.

Answer:

Step-by-step explanation:

reflection over the x-axis as well reflected over the Y axis and rotated 90° counterclockwise and clockwise

Answer:Since the chairs all have the same orientation, any chair in a row can be described as a horizontal translation of any other chair in that row. Likewise, any row of chairs can be described as a translation of any other row of chairs up and back or down and forward.

Step-by-step explanation: Just did it, that is the sample response.

Answer:

hi answers b or a

Step-by-step explanation:

Answer:

d=-2 is the difference

Answer:

360 degrees

Step-by-step explanation:

when we look at images of isosceles triangle it fits itself 1 time during a full rotation of 360 degrees

Answer: 1.12

Step-by-step explanation: just add the numbers

Answer:

15 square meters.

Hope this helped!

Answer:

x = 11, y = 17

Step-by-step explanation:

Set the equations equal to each other. Since the vertical angles are congruent, 8x + 7 = 9x - 4 and 5y = 7y - 34. Now, solve your equations for the x and y values.

8x + 7 = 9x - 4

x = 11

5y = 7y - 34

2y = 34

y = 17

Answer:

-2

Step-by-step explanation:

Answer:

ieieieissisnessjspsjdprnr

Answer:

The equation in slope-intercept form would be y=1x+1

Step-by-step explanation:

We can use the slope formula,

m=y2-y1/x2-x1

m=7-5/6-4

m=1

plug in m for y intercept or "b" and choose either points to sub. for the x & y

I am going to choose the (6,7)

7=6(1)+b

7-6=6-6+b

b=1

Our "b" is equal to 1 and just add in the points to the slope formula y=mx+b

Answer:

r=-3,

Step-by-step explanation:

Answer:

91?

Step-by-step explanation:

You don't have any pictures attached or anything so I don't get a full understanding of what you are trying to say, anyways Have a good day! :)

Answer:

probability = 0.5294

1) what i know is that there are two machines

2) the probability of choosing a machine that pays 20% of the time

3) expected answer = 0.5294 = 52.94%

4) buy making some assumptions while making the calculations

5) yes

Step-by-step explanation:

Given data:

Number of machines = 2

Assuming probability of machine 2 = 20% = 0.20

Assuming probability of machine 1 = 10%  = 0.10

since both machines have the ability to be generous i.e. pay 20% all the time

P( machine 1 is generous ) = P( machine 2 is generous ) = 0.5

this is since there are only two machines

hence find the probability that the chosen machine ( machine 1 ) is the generous machine after the player losses its first bet

P ( Machine 1 is generous | first bet lost )

= [tex]\frac{P( machine 1 is generous n lost) }{p(lost)}[/tex]   = [tex]\frac{(1-p(pays|machine 1 is generous))*p(machine 1 is generous)}{[((1-0.10)*0.5)+ ((1-0.20)*0.5)]}[/tex]

= [tex]\frac{(1-0.10)*0.5}{0.85}[/tex]  = 0.5294

This the probability that Machine 1 is generous after the player losses the first bet

1) what i know is that there are two machines

2) the probability of choosing a machine that pays 20% of the time

3) expected answer = 0.5294 = 52.94%

4) buy making some assumptions while making the calculations

5) yes

9514 1404 393

Answer:

  x = 19

Step-by-step explanation:

The two marked angles are corresponding angles, so have the same measure.

  6x -9 = 5x +10

  x = 19 . . . . . . . . . add 9-5x

Answer:

r=16c

Step-by-step explanation

20-4=r

16=r

Answer:

$68y

Step-by-step explanation:

i just thought of it don't ask

Answer:

i will not give you the exact answer but i will tell you how to get the answer you need to add all the costs of everything and divide it by the number of tickets and that is how you get profit

Step-by-step explanation:

Answer: 8 to 7 and 15 to 8

Step-by-step explanation:

We can conclude that -

Given is that there are 7 roses in a vase of 15 flowers. The rest are daisies.

We have 7 roses in a vase of 15 flowers. The rest are daisies.

Therefore, we can conclude that -

To solve more questions on ratios, visit the link below -

https://brainly.com/question/1504221

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Answer:

x=7

Explanation:

-3 1/4x+25= 2 1/4x-13 1/2

25=5 1/2x-13 1/2

38 1/2=5 1/2x

7=x

Answer:

- domains: { 1,2,-1,-3 }

- it is a function

Step-by-step explanation:

it is a function Since there is one value of y for every value of x in the relation.

Answer:

Yes there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%

[tex]F_{calc} = 8.3457[/tex]

Step-by-step explanation:

From the question we are told that

    The  normal bicarbonate level is  k  =  23-29 mmol/L

    The number of times the blood was tested is  n =  6

    The mean concentration for old instrument is  [tex]\= x_1 = 24.6\ mmol/L[/tex]

     The  standard deviation is  [tex]\sigma_1 = 1.56\ mmol/L[/tex]

    The mean concentration for the new instrument is  [tex]\= x_2 = 25.9 mmol/L[/tex]

    The standard deviation is [tex]\sigma_2 = 0.54 mmol/L[/tex]

     The confidence level is  95%

     The level of significance is mathematically represented  as  [tex]\alpha = (100 - 95)\%[/tex]

[tex]\alpha = 0.05[/tex]

 Generally the test statistics is mathematically represented as

      [tex]F_{calc} = \frac{\sigma_1 ^2}{\sigma_2^2}[/tex]

=>    [tex]F_{calc} = \frac{1.56^2}{0.54^2}[/tex]

=>    [tex]F_{calc} = 8.3457[/tex]

Generally  the degree of freedom for the old instrument is  is mathematically evaluated as  

     [tex]df = n -1[/tex]

=>  [tex]df = 6 -1[/tex]  

=>   [tex]df = 5[/tex]  

Generally  the degree of freedom for the new instrument is  is mathematically evaluated as  

     [tex]df_1 = n -1[/tex]

=>  [tex]df_1 = 6 -1[/tex]  

=>   [tex]df_1 = 5[/tex]  

For  the f distribution table  the critical value  of  [tex]\alpha[/tex] at df  and [tex]df_1[/tex] is  

    [tex]F_{tab} =5.0503[/tex]

Generally given that the [tex]F_{calc} > F_{tab}[/tex] it means that  there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%