If John solved the equation x? - 10x + 8 = 0 by completing the
square, one of the steps in his process would be
(1) (x-5)^2 = -8
(2) (x-5)^2 = 17
(3) (x+ 4)^2 = 10x
(4) (x + 4)^2 = 10x + 16

Answer:

y=2

Step-by-step explanation:

8y-5y-13=-7

3y-13=7

3y=-7+13

3y=6 /3

y=2

The approximate diameter of the helicopter pad is 15.13 yards.

As a result, the helicopter pad's estimated diameter is 15.13 yards.

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Answer:

2(4)+6(4)

Step-by-step explanation:

Distribute

(4)(2+6)

(4x)(2x+6)2(4)+6(4)

2x(4x)+6(4x)

Solution

2(4)+6(4)

Please give brainliest :)

Answer:

The sale price was $67.20

Step-by-step explanation:

The sale price is 30% less than the original price.  Symbolically,

Sale price:  (100% less 30%) of $96, or

                     (1.00 - 0.30)($96), or 0.70($96) = $67.20

The sale price was $67.20

Answer:

9^7

Step-by-step explanation:

Multiple the two 3's and get 9 then when you multiply exponents you add them and get 7

Answer:

Square pyramid

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

1. Isosceles.

2. Scalene

3. Equilateral.

4. Right triangle.

9514 1404 393

Answer:

  d. m∠Q = 75 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.

  ∠P +∠Q +∠R = 180°

  x° +(2x +15)° +(2x +15)° = 180°

  5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30

  x = 30 . . . . . . . . . . . . . . . . divide by 5

  m∠Q = (2x +15)° = (2(30) +15)°

  m∠Q = 75°

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]H_o : p =0.31\\\\H_a: p \neq 0.31\\\\n = 8606 \\\\ p^ = 0.32[/tex]

[tex]TS = \frac{(p^ - p)}{\sqrt{(\frac{pq}{n})}}[/tex]

      [tex]= \frac{(0.32-0.31)}{\sqrt{(\frac{0.31\times 0.69}{8368})}}\\\\=\frac{0.01}{5.4}\\\\=0.00185\\\\[/tex]

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is  alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493      ( β=1 given)

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.    

Add 7 to both sides seems like the best next step.

If not then add 9.

Tell me if i'm wrong

Answer:

Add 7 to both sides

I think that's the answer

Answer:17.5

Step-by-step explanation:

Our output value is 250

We represent the unknown value wit “x”

250= 100%

x= 7%

By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

250/x = 100%/7%

Again, the reciprocal of both sides gives

x/250= 7/100

X= 17.5

17.5=7% of 250

Answer:

36

Step-by-step explanation:

6+6+6+6+6+6=36

Answer:

[tex]Z = 2[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 21 and a standard deviation of 5.

This means that [tex]\mu = 21, \sigma = 5[/tex]

Find the Z score for a student that gets a 31

This is Z when X = 31. So

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

[tex]Z = \frac{31 - 21}{5}[/tex]

[tex]Z = 2[/tex]

9514 1404 393

Answer:

  x = y = 12

Step-by-step explanation:

A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...

  1 : 1 : √2

Multiplying these ratios by 12 gives ...

  12 : 12 : 12√2 = x : y : 12√2

The side lengths x and y are both 12 units.

Answer:

I think 262 is the right answer.

Step-by-step explanation:

Don't feel worthless because of math! Math is a diffcult to understand subject, and a real pain in the butt.

Answer:

Step-by-step explanation:

To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side

[tex]44 - 4 = -2y ----equation 1[/tex]

[tex]10 = 7x + 4y --- equation 2[/tex]

We can simply evaluate equation 1 to have

[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]

y = -20

From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.

Answer:

its B i did chapter 11 test yesterday

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

surface area of a rectangular prism = 2lw + 2lh + 2wh

Where l = length, w = width and h = height

The box has the following dimensions

length = 5 in

width = 3 in

height 2 in

Using these dimensions, we plug in the values into the formula

[tex]SA=2(5*3)+2(5*2)+2(3*2)\\5*3=15\\15*2=30\\5*2=10\\10*2=20\\3*2=6\\6*2=12\\SA=30+20+12\\30+20+12=62[/tex]

Hence, the surface area = 62

Answer: $6,945.75

6000(1+.05)^3

Answer:

X=70

Step-by-step explanation:

70 + 75 + 35 =180

x + x+5 + x-35

Answer:

At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident.

Step-by-step explanation:

The probability that you will have to deal with no more than 4 incidents of identity theft in the next year is 30.08 %

What is a Binomial Distribution?

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 )

Now , the success is one of your customers once every 9 weeks

So , p = 1/9

q = 1 - p = 8/9

x = 4

Number of trials n = 52 weeks

And , the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 ) is

P ( x ≤ 4 ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

Substituting the values in the equation , we get

P ( x ≤ 4 ) = [ 52! / ( 48 )! 4! ] ( 1/9 )⁴( 8/9 )⁴⁸

On simplifying the equation , we get

P ( x ≤ 4 ) = 0.3008

P ( x ≤ 4 ) = 30.08 %

Therefore , the value of P ( x ≤ 4 ) is 30.08 %

Hence , the probability of no more than 4 incidents is 30.08 %

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The equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11) is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

We have:

Vertices = (0, ± 11),

Foci = (0, ± 10)

The vertices and the foci are represented as:

Foci = (0, ± a)

Vertices = (0, ± c)

So, we have:

a = 10

c = 11

The equation of b is calculated using:

b² = c²- a²

So, we have:

b² = 11²- 10²

Evaluate

b² = 21

The equation of the ellipse is then represented as:

[tex]\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]

This gives

[tex]\frac{x^2}{21} + \frac{y^2}{10^2} = 1[/tex]

[tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

Hence, the equation of the ellipse is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

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Answer:

x^2/221+Y^2/121=1

Step-by-step explanation:

Answer:

167 books.

Step-by-step explanation:

30% =  50 books

1% = 50/30

100% =  (50/30) * 100

= 167 books.

Answer:

Hope this helps

Step-by-step explanation:

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