write √−20 in simplest radical form

Answer:

yea

Step-by-step explanation:

x=13 so 13-9=4

Answer:

25 people were surveyed.

Step-by-step explanation:

Add up the frequency.

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:

x = 10

Step-by-step explanation:

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:

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

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Answer:

statistical is the right one:)

Answer:

They are all linear equations/functions, I graphed them here:

Step-by-step explanation:

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:

From Pythagoras Rule

c=√1²+2²

c=√5 cm

c= 2.2cm

To the Nearest tenth..

Answer:

(a) 160 Naira

(b) Undefined

Step-by-step explanation:

Given

Let:

[tex]y \to[/tex] cost of bag of rice

[tex]x \to[/tex] people demanding the bag

So, we have:

[tex]y\ = \frac{k}{\sqrt x} + c[/tex] ---- The variation

[tex]y = 100; x = 36[/tex]

[tex]y = 150; x = 144[/tex]

We have:

[tex]y\ = \frac{k}{\sqrt x} + c[/tex]

When: [tex]y = 100; x = 36[/tex]

[tex]100 = \frac{k}{\sqrt {36}} + c[/tex]

[tex]100 = \frac{k}{6} + c[/tex] -- (1)

When: [tex]y = 150; x = 144[/tex]

[tex]150 = \frac{k}{\sqrt {144}} + c[/tex]

[tex]150 = \frac{k}{12} + c[/tex]--- (2)

Subtract (1) from (2)

[tex]150 - 100 = \frac{k}{12} - \frac{k}{6} + c - c[/tex]

[tex]50 = \frac{k}{12} - \frac{k}{6}[/tex]

Multiply through by 12

[tex]600 = k - 2k[/tex]

[tex]600 = -k[/tex]

[tex]k = -600[/tex]

To solve for x, we have:

[tex]100 = \frac{k}{6} + c[/tex] -- (1)

This gives:

[tex]100 = \frac{-600}{6} + c[/tex]

[tex]100 = -100 + c[/tex]

[tex]c = 100 + 100[/tex]

[tex]c = 200[/tex]

So, the equation is:

[tex]y\ = \frac{k}{\sqrt x} + c[/tex]

[tex]y = -\frac{600}{\sqrt x} + 200[/tex]

Solving (1): y; when x = 225

We have:

[tex]y = -\frac{600}{\sqrt x} + 200[/tex]

[tex]y = -\frac{600}{\sqrt {225}} + 200[/tex]

[tex]y = -\frac{600}{15} + 200[/tex]

[tex]y = -40 + 200[/tex]

[tex]y = 160[/tex]

Solving (2): x; when x = 200

We have:

[tex]y = -\frac{600}{\sqrt x} + 200[/tex]

[tex]200 = -\frac{600}{\sqrt x} + 200[/tex]

Collect like terms

[tex]\frac{600}{\sqrt x} = 200 - 200[/tex]

[tex]\frac{600}{\sqrt x} =0[/tex]

Cross multiply

[tex]600 =0 * \sqrt x[/tex]

[tex]600 =0[/tex]

x is undefined

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:

24

Step-by-step explanation:

Answer: 25 units^2

Step-by-step explanation:

This is the correct answer

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

Answer:

A

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:

For a general function f(x), the domain is the set of the possible values of x that we can input in the function.

The trick to find the domain is first to assume that the domain is the set of all real numbers, and then let's try to find the values of x that cause a problem in the function. (If the graph is cut in some value of x, such that it ends with an open or a closed point, then these values define the domain).

Such that one of these problems can be like x = 1 in the function:

g(x) = 1/(x - 1)

Because that value causes the denominator to be equal to zero, then the domain of that function will be the set of all real numbers except the value x = 1.

In this case, we have:

f(x) = x^2 - 4

There is no value of x that causes a problem for this function, then the domain is the sett of all real numbers.

Correct option D.

Step-by-step explanation:

Its Undefined.

Reason

Slope (m) = y2 - y1/(x2-x1)

= 3-(-6)/(12-12)

=9/0

Undefined

You can clearly see this from the points. The x value has 2 different values for y... Which Makes the points not that of a function.

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: 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:

[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:

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: 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:

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:

c... health

Step-by-step explanation:

Answer:

ecosystem biodiversity is often used a measure of its overall health.

Step-by-step explanation:

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:

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)

Answer:

c

Step-by-step explanation:

explanation needed