you will get a 100 points +100 if you get it right

The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.

Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.

But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then

Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]

… ≈ Pr[Z < -2.0402]

… ≈ 0.0207

[tex] \large \bigstar \frak{ } \large\underline{\sf{Solution-}}[/tex]

Consider, LHS

[tex]\begin{gathered}\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]

We know,

[tex]\begin{gathered}\boxed{\sf{  \:\rm \: {sec}^{2}x - {tan}^{2}x = 1 \: \: }} \\ \end{gathered} 

\\ \\ \text{So, using this identity, we get}

\\ \\ \begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - ( {sec}^{2}\theta - {tan}^{2}\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]

We know,

[tex]\begin{gathered}\boxed{\sf{  \:\rm \: {x}^{2} - {y}^{2} = (x + y)(x - y) \: \: }} \\ \end{gathered}  \\ [/tex]

So, using this identity, we get

[tex]\begin{gathered}\rm \: = \:\dfrac { \tan \theta + \sec \theta - (sec\theta + tan\theta )(sec\theta - tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered}[/tex]

can be rewritten as

[tex]\begin{gathered}\rm\:=\:\dfrac {(\sec \theta + tan\theta ) - (sec\theta + tan\theta )(sec\theta -tan\theta )} { \tan \theta - \sec \theta + 1 } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac {(\sec \theta + tan\theta ) \: \cancel{(1 - sec\theta + tan\theta )}} { \cancel{ \tan \theta - \sec \theta + 1} } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:sec\theta + tan\theta \\\end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1}{cos\theta } + \dfrac{sin\theta }{cos\theta } \\ \end{gathered} \\ \\ \\\begin{gathered}\rm \: = \:\dfrac{1 + sin\theta }{cos\theta } \\ \end{gathered}[/tex]

[tex]\begin{gathered} \\ \rm\implies \:\boxed{\sf{  \:\rm \: \dfrac { \tan \theta + \sec \theta - 1 } { \tan \theta - \sec \theta + 1 } = \:\dfrac{1 + sin\theta }{cos\theta } \: \: }} \\ \\ \end{gathered}[/tex]

[tex]\rule{190pt}{2pt}[/tex]

Answer:

Angle 4 also has a measurement of 34 degrees because opposite angles of intersecting lines are congruent. In other words, angles 2 and 4 are congruent, so are angles 1 and 3.

Answer:

6 (i think :/)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total number of choices is 6 * 6 * 6 * 6 = 1296

You have one chance to get it right

That's 1/1296 = 0.00077

Answer:

1/1296

Step-by-step explanation:

The probabilty of getting one of the dials correct is 1/6 because there are 6 letters on each dial. So if there are 4 dials, then the chance is multiplied by itself 4 times (1/6 * 1/6 *1/6 * 1/6). 1/6 * 1/6 *1/6 * 1/6 is equal to 1/1296.

Answer:

f(x)=-18x^2

Step-by-step explanation:

Given:

1+Integral(f(t)/t^6, t=a..x)=6x^-3

Let's get rid of integral by differentiating both sides.

Using fundamental of calculus and power rule(integration):

0+f(x)/x^6=-18x^-4

Additive Identity property applied:

f(x)/x^6=-18x^-4

Multiply both sides by x^6:

f(x)=-18x^-4×x^6

Power rule (exponents) applied"

f(x)=-18x^2

Check:

1+Integral(-18t^2/t^6, t=a..x)=6x^-3

1+Integral(-18t^-4, t=a..x)=6x^-3

1+(-18t^-3/-3, t=a..x)=6x^-3

1+(6t^-3, t=a..x)=6x^-3

That looks great since those powers are the same on both side after integration.

Plug in limits:

1+(6x^-3-6a^-3)=6x^-3

We need 1-6a^-3=0 so that the equation holds true for all x.

Subtract 1 on both sides:

-6a^-3=-1

Divide both sides by-6:

a^-3=1/6

Raise both sides to -1/3 power:

a=(1/6)^(-1/3)

Negative exponent just refers to reciprocal of our base:

a=6^(1/3)

Answer:

Step-by-step explanation:

The existing line appears to pass through (0, 20) and (10, 50)

so the line slope is m = Δy/Δx = (50 - 20) / (10 - 0) = 3

parallel lines have identical slopes

y = 3x + b

15 = 3(4) + b

b = 3

D.  y = 3x + 3

[tex]\\ \rm\Rrightarrow m=\dfrac{25-20}{2}=5/2[/tex]

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]

[tex]\\ \rm\Rrightarrow y-15=5/2(x-4)[/tex]

[tex]\\ \rm\Rrightarrow 2y-30=5x-20[/tex]

[tex]\\ \rm\Rrightarrow 5x-2y+10=0[/tex]

Answer:

C. I,II,III

Step-by-step explanation:

Absolute value is the distance of a number from 0 on a number line. 6 is 6 units from 0, therefore this option is correct. -6 is 5 units to the left of 0, but it is still 6 units away, therefore this option is correct. 6 is 6 units away from 0, therefore, III is correct. But 0 is 0 units away from 0, therefore this option is incorrect.

Answer:

seven

Step-by-step explanation:

Lol thxx for the points

Pls give brainliest! Also, plz sub to kgirl633 on yt.

Answer:

23 because its supposed to be 8 numbers less

Answer:

The answer is 9

Explanation:

0.5a+8.75=13.25

We simplify the equation to the form, which is simple to understand

0.5a+8.75=13.25

We move all terms containing a to the left and all other terms to the right.

+ 0.5a=+13.25-8.75

We simplify left and right side of the equation.

+ 0.5a=+4.5

We divide both sides of the equation by 0.5 to get a.

a=9

Answer:

click on image

Step-by-step explanation:

click on the image

Answer:

I think it x=33

Step-by-step explanation:

[tex]x+20+4x-5=180\\5x+15=180\\-15 -15\\5x = 165\\/5 /5\\x = 33[/tex]

Answer:

(0,-2)

Step-by-step explanation:

Answer:

i think probably 3/7 is answer

Answer:

A

Step-by-step explanation:

A. 2 toys/5 minutes

y/x

Step-by-step explanation:

Why use brainly for this

Answer:

Step-by-step explanation:

You have four balls

A draw of blue, green or yellow (3 balls) means success for NOT drawing a red ball

You have a 3 in 4 chance of not drawing a red ball on the first  draw.

With replacement, the 3 in 4 chance occurs on every draw

the odds multiply together for each draw.

Chance of not drawing a red ball in 40 tries is (3/4)⁴⁰

or about 1 in 10⁻⁵ or 0.00001

Answer:

rise over run

Step-by-step explanation:

you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.

Answer:

Step-by-step explanation:

From the point one on the graph, you go up (rise) making loops each time you go up (shown in red) then, once you've reached the same hight of point two, you go over (run), making loops once again (shown in blue). Then, you take the rise and put it over the run, so in the image attached it would be 4/3.

Answer:

x = Total meal cost

y = Total cost-plus tip

113% * x  =  y

Answer:

x = √7km

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You take a right triangle and find the lengths of the two sides that are vertical and horizontal. Then, using the formula a^2 + b^2 = c^2, find the length of C

(aka: Hypotenuse)

hope this helps!

Answer:

alternate exterior angles are equal .

17x + 2 = 18x - 2

x = 2 + 2

x = 4

Step-by-step explanation:

Answer:

its (5x+8)(25x^2-40x+64

Step-by-step explanation:

The transactions that would leave the initial balance the same are a deposit of $278 followed by a withdrawal of $278.

The transactions that would leave the initial balance the same are transactions that net to zero. Withdrawals reduce the balance in the account. Deposits increase the value of the balance in the account.

Option A: Net balance

$275 - $232 + 132 = $175

Option B: Net balance

$275 + $278 - $278 = $275

Option C: Net balance

$275 - $115 + $312 = $472

Option D: Net balance

$275 + $205 - $317 = $163

To learn more about subtraction, please check: https://brainly.com/question/854115

Answer:

335.4

Step-by-step explanation:

You can use the Pythagorean Theorem (a^2 + b^2 = c^2)

300^2 + 150^2 = 112500

The square root of 112500 is 335.4

Answer:

20 questions

Step-by-step explanation:

1.) Use the following equation:

[tex]\frac{x}{y}[/tex] = [tex]\frac{p}{100}[/tex]

2.) For this equation,

3.) Substitute

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

4.) Solve

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{8}{10}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5.) Cross Multiply

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5x = 100

6.) Divide

5x = 100

x = 20

Therefore, you got 20 questions right.

Answer: x=-1, y=-8

Step-by-step explanation: solve for the first variable in one of the equations then subsitutte the result into the other equation

Step-by-step explanation:

To solve percent problems, you can use the equation, Percent · Base = Amount, and solve for the unknown numbers. Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100.

Answer:

Base = Amount, and solve for the unknown numbers.Step-by-step explanation:

Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.