Use the integers that are closest to the number in the middle. √57

Answer:

The line equation is Y=(1/2)x+2

Step-by-step explanation: Start with the standard from: y=mx+b

Find the slope, or change in the y value divided by change in the x value.

For this graph the slope is 1/2 meaning the y value goes up once every time the x value goes up two. this is represented by the m value

Now we need to find the y intercept, or where the graph passes through the y intercept, this is represented by b

We find the intercept by inserting a point n the line into our equation and solving for b:

Point: (2,3) Equation: y=(1/2)x+b

3=(1/2)2+b

3=1+b

-1  -1

2=b

Answer:

0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Step-by-step explanation:

Given the data in the question;

sample size n = 28

slope of the least squares regression line of y on x or sample estimate = 0.0623

standard error = 0.0224

95% confidence interval

level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05

degree of freedom df = n - 2 = 28 - 2 = 26

∴ the equation will be;

⇒ sample estimate ± ( t-test) ( standard error )

⇒ sample estimate ± ( [tex]t_{\alpha /2, df[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.05 /2, 26[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.025, 26[/tex]) ( standard error )

{ from t table; ( [tex]t_{0.025, 26[/tex]) = 2.055529 = 2.056

so we substitute

⇒ 0.0623 ± ( 2.056 )( 0.0224 )

Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Answer:

[tex] (x-1.3) ^2 + (y+3.5) ^2= 37 [/tex]

Step-by-step explanation:

Radius of the circle [tex] r = \sqrt {37}\: units [/tex]

Center of the circle (h, k) = (1.3, - 3.5)

Equation of the circle in center radius form is given as:

[tex] (x-h) ^2 + (y-k) ^2= r^2 [/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex] (x-1.3) ^2 + (y+3.5) ^2= (\sqrt {37})^2 [/tex]

[tex] (x-1.3) ^2 + (y+3.5) ^2= 37 [/tex]

This is the required equation of the circle.

Answer:

14.64%

Step-by-step explanation:

P(90<X<100) = normalcdf(90,100,82,8) = 0.1464308262 ≈ 0.1464 ≈ 14.64%

Therefore, about 14.64% of the scores are greater than 90.

By calculating the CDF of normal distribution, the percentage of scores that are greater than 90 are 14.6%.

The CDF function of a Normal distribution is calculated by translating the random variable to the Standard Normal, and then looking up a value from the precalculated "Phi" function (Φ), which is the cumulative density function of the standard normal. The Standard Normal, often written Z, is a Normal with mean 0 and variance 1. Thus, Z∼N(μ=0,σ²=1).

Let x1, x2, .... be the scores on the test.

X ~ N (82, 64)

[tex]= P(90 < X < 100) \\\\= P(\frac{90 -82 }{8} < \frac{X - 82}{8} < \frac{100-82}{8} ) \\\\= P(1 < \frac{X - 82}{8} < \frac{18}{8}) \\\\P(1 < Z < \frac{18}{8})\\ \\[/tex]

P(90 < X < 100) = Φ(18/8) - Φ(1) = 0.146 (using norm.s.dist function in excel)

Learn more about CDF function of normal distribution here

https://brainly.com/question/14936604

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Answer:

statistical is the right one:)

Answer:

10^6

Step-by-step explanation:

Dont exactly know how to explain but it’s ten to the sixth power. There are six zeros and I just know how to do this.

Answer:

7,329.60m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

r is the radius

h is the height

Given

r = 19.3m

h = 18.8m

Substitute

V = 1/3 * 3.14 * 19.3² * 18.8

V = 21,988.82968/3

V = 7,329.6 cubic meter

Hence the volume of the cone to neatrest tenth is 7,329.60m³

Answer:  No puedo responder a esto sin que me muestres el problema.

9514 1404 393

Answer:

Step-by-step explanation:

The acute angles in a right triangle are complementary, so ...

  C = 90° -50°

  C = 40°

__

SOH CAH TOA reminds you of the relations ...

  Cos = Adjacent/Hypotensue

  Sin = Opposite/Hypotenuse

Then ...

  cos(50°) = c/9

  c = 9·cos(50°) ≈ 5.79

  sin(50°) = a/9

  a = 9·sin(50°) ≈ 6.89

Answer: 13

Step-by-step explanation:

This is a right angle, since there is a box

So, 33° + (4w + 5)° = 90°

33° + 4w + 5 = 90°

38° + 4w = 90°

Subtract 38° on both sides

4w = 90° - 38°

4w = 52°

Divide 4 on both sides

w = 13

Answer:

I'm a bit confused with your question.

Maybe this guy Sayurki can help ! He said this - "Set of unconnected points because you can't buy a part of a DVD in a line there are infinite points and when buying something such as a DVD to reach that infinite u need to be able to buy part of a DVD which technically isn't possible so that why is unconnected points u buy a full DVD not part "

Step-by-step explanation:

Answer:

From Pythagoras Rule

c=√1²+2²

c=√5 cm

c= 2.2cm

To the Nearest tenth..

Answer:

Your answer would be 4^-3.

Step-by-step explanation:

So, a negative exponent by definition, is writing out 1/x^y. Where x is the number and y is the negative exponent.

In this case, 4 would be the number and -3 would be the negative exponent.

So we're going from 1/x^y to x^-y in order to solve this. Therefore, this is something where the numbers can just be plugged in.

1/x^y ---> x^-y

1/4^3 ---> 4^-3

Your answer would be 4^-3.

Answer: speed is  540 km/h

Step-by-step explanation:   Lets mark speed as v.

Because distenace is same, you can mark   6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions :   10 h / 6 h  =  v / 900 km/h  .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v   ,which gives   10 v = 6 · 900 km/h

and result is same

Answer:

3x+94+x+18+2x-4=180(being straight line)

6x+108=180

6x=180-108

x=72/6

x=12

Step-by-step explanation:

Answer:

1. 156 2. 84 3. 74

Step-by-step explanation:

1. b x h. 8 x 8 is every side on the square so one side is 64 and the one behind it is 64 also which is 128 and since that is the case with the other sides its 128 + 128 = 156

2. 1/2 x b x h = 1/2 x 4 x 3 = 6 x 2 because of the side behind it that is the same = 12. 6 x 5 = 30; 6 x 4 = 24; 6 x 3 = 18. 12 + 30 + 24 + 18 = 84

3. b x h. 2.5 x 2 = 5 x 2 because of the other side = 10; 7 x 2.5 = 17.5 x 2 = 35; 7 x 2 = 14 x 2 = 28. 10 + 35 + 28 = 76

Answer:

x - 5 = 63

x = 63 - 5

x = 58 years

Answer:

she will be 34

Step-by-step explanation:

x - Joseph age

(x-5)+x=63

2x=68

x=34

34- 5 =29 Angeles age

in 5 years she will be 29+5=34

Answer:

[tex]g(f(x)) = x^{[2]} +[-1][/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) =x -1[/tex]

Required

[tex]g(f(x))[/tex]

We have:

[tex]g(x) =x -1[/tex]

Replace x with f(x):

[tex]g(f(x)) = f(x) -1[/tex]

Substitute [tex]f(x) = x^2[/tex]

[tex]g(f(x)) = x^2 -1[/tex]

Hence:

[tex]g(f(x)) = x^{[2]} +[-1][/tex]

search up mean calculator

Answer:

3

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]y = a(b)^x[/tex]

In which a is the value of y when x = 0.

In this question:

When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.

Answer:

[tex]\implies f(x) = ( x + 2)^2[/tex]

Step-by-step explanation:

Given :-

And we need to rewrite the function by completing the square. The function is ,

[tex]\implies f(x) = x^2+8x + 4[/tex]

[tex]\implies ( a + b)^2= a^2+b^2+2ab [/tex]

Rewriting the function :-

[tex]\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2[/tex]

[tex]\implies f(x) = ( x + 2)^2[/tex]

Hence the function in whole square form is (x + 2)² .

Answer:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{0.1}{\sqrt{n}} = \frac{0.1645}{\sqrt{n}}[/tex]

The lower end of the interval is the sample mean subtracted by M, while the upper end is M added to the sample mean of 0.5. Thus, the confidence interval is of:

The 90% confidence interval for the population mean is [tex][0.5 - \frac{0.1645}{\sqrt{n}}, 0.5 + \frac{0.1645}{\sqrt{n}}][/tex], in which n is the number of students surveyed.

Answer:

c

Step-by-step explanation:

explanation needed

Answer:

9.09, 309.09

Step-by-step explanation:

Year1 300x.01=3. Balance is 303/(300+3)

Year2 303x.01=3.03 balance is 306.03

Year3 306.03x.01=3.06 balance=309.09

Answer:

Interest earned = $9

Balance after 3 years = $309

Step-by-step explanation:

For simple interest, the formula is I = PRT, where I is the interest earned or paid, P is the principal amount borrowed/deposited, R is the rate as a decimal, and T is the time in years.

I = PRT

I = (300)(0.01)(3)

I = 9

Add that to the amount deposited to start, and you have the balance aftere 3 years. $300 + 9 = $309

Answer:

The dimensions are 5 and 10 inches

Step-by-step explanation:

The area is 50 square inches and the length is twice the width. 10 is the length, which is two times 5. 10 times 5 is 50.

The length is 10 and the width is 5.

Answer:

6(3x - 4)

Step-by-step explanation:

From the question, we can deduce the following points;

- 6 is multiplied by 3x minus 4

Translating the word problem into an algebraic expression, we have;

6 * (3x - 4)