what is the standard error for the sample proportion if n=75 and p=0.3? round to 2 decimal places.

The probability that an observed value of Y is more than 19, given x=4 and the regression model y=−5.399+5.790x with σ=1.5, is approximately 0.2031.

To find the probability that an observed value of (Y) is more than 19 when (x = 4) in the given regression model (Y = -5.399 + 5.790x), we need to calculate the z-score and then find the corresponding probability using the standard normal distribution.

First, we calculate the predicted value of (Y) when (x = 4) using the regression equation:

\(\[Y = -5.399 + 5.790 \times 4 = 17.761\]\)

Next, we calculate the z-score using the formula:

\(\[z = \frac{Y - \mu}{\sigma} = \frac{19 - 17.761}{1.5} \approx 0.8267\]\)

Now, we can find the probability (P(Y > 19)) by finding the area to the right of the z-score of 0.8267 in the standard normal distribution. Using a standard normal distribution table or calculator, we find the probability to be approximately 0.2031.

Therefore,\(\(P(Y > 19) = 0.2031\)\) (rounded to four decimal places).

The probability calculated assumes that the errors in the regression model follow a normal distribution with a standard deviation of \(\(\sigma = 1.5\)\).

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Answer:

x = 3

Step-by-step explanation:

Given the 2 equations

x + y = 3 → (1)

2x - y = 6 → (2)

Adding the 2 equations term by term eliminates the y- term, that is

3x = 9 ( divide both sides by 3 )

x = 3

Answer:

\(\frac{2}{5\\}\)

Step-by-step explanation:

Rlly Hope this helps! :)

Let's simplify the fraction 12/60.

Hence, the fraction is 1/5.

\(BrainiacUser1357\)

For part c, the present value needed to have $3,100 five years from now at a 10 percent interest rate would be approximately $2,174.35.

For part d, the amount that needs to be deposited today to be able to withdraw $500 a year for 8 years from an account earning 7 percent would be approximately $2,992.71.

c. To calculate the present value needed to have $3,100 five years from now at a 10 percent interest rate, we can use the formula for present value of a future amount: PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the interest rate, and n is the number of years. Plugging in the values, we have PV = 3100 / (1 + 0.10)^5 ≈ $2,174.35.

d. To determine the amount that needs to be deposited today to be able to withdraw $500 a year for 8 years from an account earning 7 percent, we can use the formula for the present value of an annuity: PV = PMT × [(1 - (1 + r)^-n) / r], where PV is the present value, PMT is the annuity payment, r is the interest rate, and n is the number of periods. Plugging in the values, we have PV = 500 × [(1 - (1 + 0.07)^-8) / 0.07] ≈ $2,992.71.

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Answer:

30,135,210,225

Step-by-step explanation:

\(( \cot( \alpha ) - \sqrt{3} )( \sqrt{2} \sin( \alpha ) + 1) = 0\)

Set both equal to 0

\( \cot( \alpha ) = \sqrt{3} \)

\( \alpha = 30\)

Cot has a period of 180 degrees so the other value is

\( \alpha = 210\)

For the other factor,

\( \sqrt{2} \sin( \alpha ) + 1 = 0\)

\( \sin( \alpha ) = - \frac{1}{ \sqrt{2} } \)

Rationalize the denominator

\( \sin( \alpha ) = - \frac{ \sqrt{2} }{2} \)

\( \alpha = 135\)

Sin is reflective about the origin so if we find the distance from the original alpha , we get our other

\( \alpha = 225\)

answer.

So our solution set is

30,135,210,225

Answer:

45°

Step-by-step explanation:

AB and BC are congruent which mean ∠BAC and ∠BCA are congruent.

We already know ∠ABC is 90°.

We cans set up the equation with what is given.

180 = 90 + 2c

Subtract 90 from both sides.

90 = 2c

Divide both sides by 2

45 = C

So angle C is 45°

The hexadecimal number 0x3d is equal to 61 in decimal (base 10).

To convert the hexadecimal number 0x3D to decimal (base 10), we need to understand the positional system of both bases. In hexadecimal, each digit represents a power of 16, starting from the rightmost digit. The digits range from 0 to 9, and then from A to F, where A represents 10 and F represents 15, In hexadecimal (base 16) representation, each digit can have values from 0 to 15. The digits from 0 to 9 represent their respective values, and the letters A to F represent the values 10 to 15.

To convert 0x3d to decimal, we can break down the number as follows:

0x3d = (3 * 16^1) + (13 * 16^0)

Simplifying the expression:

0x3d = (3 * 16) + 13

0x3d = 48 + 13

0x3d = 61

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Answer:

x = 1/a-b.

x is the reciprocal of the difference of a and b.

x is 1 over the difference of a and b.

x is the quotient of 1 and the difference of a and b.

Step-by-step explanation:

i did it

The transformation of the given equation ax = bx + 1 for the x will be 1/(a - b).

In the by substitution method, one of the equations is calculated for one of the variables, which is then transferred back into the other equation where the chosen variable is a replacement, and the second equation is then calculated for. The first variable is then home safely.

In other words, substitution is a method to find the value of variables x and y by just substituting x and y to another equation.

The substitution method is more good than the elimination method.

Given that the equation

ax = bx + 1

Transfer bx to the left side

ax- bx = 1

Take common x from the left-hand side

x(a - b) = 1

Divide a - b on both sides

x = 1/(a - b) hence it will be the correct transformation.

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Answer:

- 8.6 feet per second

Step-by-step explanation:

Step 1: - 233 feet (final) + 164 feet (start) = - 69

Step 2: - 69 divided by 8 seconds (time) = About - 8.6

The answer is negative because the submarine is below sea level.

Since the directrix is y=-4, use the equation of a parabola that opens up or down.

where vertex is at (h,k) and focus is at (h,k+p)

The vertex is halfway between the directrix and focus. Find the y-coordinate of the vertex using the following

Find the distance from the focus to the vertex.

The distance from the focus to the vertex and from the vertex to the directrix is |p|. Subtract the y-coordinate of the vertex from the y-coordinate of the focus to find p.

Substitute in the known values for the variables into the equation

Simplify

in y=ax^2+bx+c form:

Answer:

Xyz E number

Step-by-step explanation:

I think Xyz is right

Answer:

  A.  AB = xyzx

Step-by-step explanation:

You want AB when A = BC, B = x, and C = yz.

You can evaluate the unknown expression by making substitutions until you can't anymore.

  AB = (BC)(B) . . . . . . . . substitute BC for A

  AB = ((x)(yz))(x) . . . . . . substitute x for B (2 places), yz for C

  AB = xyzx . . . . . . . . . . remove the unnecessary parentheses

√q³  your answer

pls mark me in branlist

Mr. Steiner will need to pay $18774 in total and he paid $4774 more than the actual price of the car.

we know that the amount of money earned, in compound interest after t years is showed as, A(t) = P (1+\(\frac{r}{n}\))ⁿ\(^{t}\)

here, we know that A(t) is the amount of money after t years.

P is the initial sum of money, know as principal,

r is the interest rate as a decimal value,

n is the number of times that interest is compounded per year,

and

t is the time in years for which the money is invested or borrowed.

now here we know,

P = 14000, r = 0.049, n = 12, t = 6

when we have all values we can find,

A(t) = P(1+\(\frac{r}{n}\))ⁿ\(^{t}\)

A(6) = 14000 (1+\(\frac{0.049}{12}\))¹²ˣ⁶

A(6) = 18774

therefore we know that Mr. Steiner needs to pay $18774 in total.

now,

18774 - 14000 = 4774

therefore we get to know that Mr. Steiner paid $4774 more than the actual price of the car.

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Answer:

d = 7.5

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 3

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (d, - 5d)

m = \(\frac{-5d+6}{d+3}\) = - 3 ( multiply both sides by (d + 3) )

- 5d + 6 = - 3(d + 3)

- 5d + 6 = - 3d - 9 ( add 3d to both sides )

- 2d + 6 = - 9 ( subtract 6 from both sides )

- 2d = - 15 ( divide both sides by - 2 )

d = 7.5

Answer:b

Step-by-step explanation:

Answer:

D = $34

Step-by-step explanation:

Let's use J to represent Jumps' savings, and D to represent David's savings.

J = $55

We know David's savings is equal to 21 less than Jumps'.

This means that if we subtract 21 from 55, we will have David's savings.

D = 55 - 21

Now, solve:

D = 34

This means David has $34 in savings.

Answer:

1. is moving to the left by 4 and 2. is moving up by 4

Step-by-step explanation:

Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

The angle between the ladder and the ground is - 0.075 rad/s.

Pythagoras' theorem is a essential relation in Euclidean geometry among the 3 facets of a proper triangle. It states that the region of the rectangular whose aspect is the hypotenuse (the aspect contrary the proper angle) is identical to the sum of the regions of the squares on the alternative  facets.

cosθ = x/10

On differentiating the above equation,

- sinθdθ/dt = (1/10)dx/dt

dθ/dt = -(1/10)dx/dt/sinθ

sinθ = y/10

= √(100 - 36)/10

= 0.8; dθ/dt

= -(1/10)·0.6 ft/s/0.8

= - 0.075 rad/s

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If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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If two bankers each arrive at the station at some random time between 5:00 AM and 6:00AM  and stay exactly five minutes and then leave, then the probability they will meet on a given day is 84.03%.

Let the two bankers be A and B. For the two bankers to meet, they must be at the station at the same time. The probability of this happening is equal to the probability that the time between their arrivals is less than or equal to five minutes. We can solve this problem by using geometric probability.

Let x be the number of minutes past 5:00 AM that banker A arrives, and let y be the number of minutes past 5:00 AM that banker B arrives. Then x and y are both uniformly distributed on the interval [0,60], since the arrival time for either banker is uniformly distributed.

To find the probability they will meet on a given day, we need to find the probability that |x−y|≤5.

We can represent this condition geometrically as follows:

This is a square of side length 60 units with area 3600 square units. The shaded region is the set of points (x,y) such that |x−y|≤5. This region consists of two right triangles of base 55 and height 55.

The area of each triangle is 1/2 * base * height = 1/2 * 55 * 55 = 1512.5 square units.

The area of the shaded region is therefore 2 * 1512.5 = 3025 square units.

The probability that the two bankers will meet on a given day is equal to the area of the shaded region divided by the area of the square, or 3025/3600 = 0.8403 (rounded to four decimal places).

Therefore, the probability they will meet on a given day is 0.8403 or 84.03%.

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To multiply a polynomial by a monomial, you must first identify the terms in the polynomial, as well as the factors in the monomial. Once you have identified the components, use the distributive property to multiply each term of the polynomial by the monomial. Then, combine like terms and simplify the resulting polynomial.

For example:

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Answer:

8.373

Step-by-step explanation:

Cone

Find the volume of the cone

V = 1/3 pi r^2 h

r = d/2

r = 4/2

r = 2 inches

h = 6 inches

pi = 3.14

V = 1/3 * 3.14 * 2^2 *  6

V = 25.12

Half sphere

V = 1/2 (4/3) pi r^3

r = 2 from above calculation

pi = 3.14

V = 2/3 * 3.14 * 2^3

V = 2/3 * 3.14 * 8

V = 16.74

Nothing spills out so I scoop must be a whole sphere. The sphere is 2 times what I calculated it to be or

V = (4/3) * 3.14 * 2^3

V = 33.49 cubic inches

The difference in volume is 33.49 - 25.12 = 8.373

Answer:

the 3 one

Step-by-step explanation:

the occurrence of the same letter or sound at the beginning of adjacent or closely connected words.

Hope u do good on ur test or whtevr this is!!!!

Answer:

What is a partner

Step-by-step explanation:

1. P(Kelly) = 1/10 = 0.1 = 10%, 2. P(name starting with a J) = 2/10 = 1/5 = 0.2 = 20%, 3. P(not Laura) = 8/10 = 4/5 = 0.8 = 80%, 4. P(4 letter name) = 2/10 = 1/5 = 0.2 = 20%, 5. P(girl) = 3/10 = 0.3 = 30%, 6. P(not a 5 letter name) = 6/10 = 3/5 = 0.6 = 60%

To find the probability of each event, we first need to determine the number of favorable outcomes and the total number of possible outcomes. In this case, the total number of possible outcomes is 10 because there are 10 names in the bucket.

For example, to find the probability of selecting Kelly (P(Kelly)), we see that there is only one favorable outcome, and there are a total of 10 possible outcomes. Therefore, P(Kelly) = 1/10.

Similarly, to find the probability of selecting a name starting with a J (P(name starting with a J)), we count the number of names that start with a J (which is 2) and divide by the total number of possible outcomes (which is 10).

Finally, we express each probability as a fraction, percent, and decimal for ease of comparison and understanding.

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