Need help with this problem ^^

Answer:

approximately Normal with mean 0.35

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test.

This means that [tex]p_1 = 0.8, p_2 = 0.45[/tex]

Subtraction of Variable 1 by Variable 2:

By the Central Limit Theorem, the shape will be approximately normal.

The mean is the subtraction of the means of each proportion. So

[tex]p = p_1 - p_2 = 0.8 - 0.45 = 0.35[/tex]

So the correct answer is given by:

approximately Normal with mean 0.35

Answer:

4 < x < 15.

Step-by-step explanation:

Solve -2x^2 + 38x -120 = 0 This gives x = 4 and x = 15. So the company makes a profit when the range of x is greater than 4 and less than 15. The graph of function is a flipped U which pass through x axis at 4 and x = 15. Above the x-axis is the area of profit.

Answer: 43 ft = 14.333333 yd/and/or/43 ft = 14 yd 1 ft

Step-by-step explanation:

To convert a foot measurement to a yard measurement, divide the length by the conversion ratio.Since one yard is equal to 3 feet, you can use this simple formula to convert:

yards = feet ÷ 3

The length in yards is equal to the feet divided by 3.

Answer:14.3333 yards equals 43 feet 1 foot is equivalent to .333 yards

Step-by-step explanation:

Answer:

3 = 9

4 = 10

Step-by-step explanation:

Answer:

3,9

4,10

Step-by-step explanation:

Hey There

The equation is saying that f goes up by 1 when y s goes up by 1

so when s = 3 f = 9

when s = 4 f = 10

Answer:

A-Cylinder

Step-by-step explanation:

Because when folded back to its original state the circles at the top and bottom act as bottoms of a Cylinder.

Answer:

cylinder which means it's A

Answer:

Oh easy here is the answer m=21

Answer:

12.5pages

Step-by-step explanation:

50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)

subtract 37.5 from 50 to find the number of pages printed by andy

Answer:

See below, please!

Step-by-step explanation:

[tex]\frac{11(8+14)}{5}[/tex]. Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.

Hope this helped!

Answer:

1/9   0.1111

Step-by-step explanation:

1/9 = 0.11111111111....

Answer:

Carlos born in 1944

Julio born in 1945

Ricky born in 1946

Step-by-step explanation:

x = Carlos age

x+1 = Julio age

x+2 = Ricky age

x + x+1 + x+2 = 129

3x + 3 = 129

3x = 126

x = 42 (Carlos age)

x+1 = 43 (Julio age)

x+2 = 44 (Ricky age)

1990 - 42 = 1944 (year Carlos born)

1990 - 43 = 1945 (year Julio born)

1990 - 44 = 1946 (year Ricky born)

Answer:

x=90

Step-by-step explanation:

a triangle that is made inside of a triangle makes a right angle. The angle that is opposite of the hypotenuse is the one that is a right angle

Answer:

No, you can't

Step-by-step explanation:

Given

[tex]Side\ 1 =4[/tex]

[tex]Side\ 2 =9[/tex]

Required

Is a perimeter of 26 possible?

First, calculate the possible side 3

[tex]Side\ 3 = Perimeter - Side\ 1 - Side\ 2[/tex]

[tex]Side\ 3 = 26 - 4 - 9[/tex]

[tex]Side\ 3 = 13[/tex]

Triangle inequalities states that:

Sum of two sides > the third side

So:

[tex]4 + 9 > 13[/tex] --- False

[tex]13 + 9 > 4[/tex] --- True

[tex]4 + 13>9[/tex] ---- True

Since one of the inequalities is false, then a perimeter of 16 is not possible

The answer is x³+57 or (x³+57)

Answer:

Step-by-step explanation:

Since the triangle is a right triangle, we know angle B is 90

Then, we know A and C have to make 90 to

so if A has to be between 20 and 70, we can pick 21

as long as A and C make 90, if A is 21, then C is 69

since 21 + 69 = 90

Since it's a right triangle, we can use pythagoran theorem to find c

a² + b² = c²

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

then you put in the numbers from question 3 (you didn't say what numbers those have to be) and you can find out whats c

Answer:

3x - 10 = -21

add 10 on both side

3x-10+10=-21+10

3x=-11

divide both side by 3

3x/3=-11/3

x=-11/3

Step-by-step explanation:

2. -22 - 4x = 12

add 22 on both side

-22+22-4x=12+22

-4x=36

divide both side by -4

-4x/-4=36/-4

c=-9 is your answer

Answer:

The point moves 3 units down and 3 units to the right

Step-by-step explanation:

Step-by-step explanation:

correct answer 2) y> 3x+2

Answer:

-4/5

Step-by-step explanation:

x2y

(-3/4)(2)(8/15)

(-3/2)(8/15)

-4/5

Answer: 2/4

Step-by-step explanation: Easy 2 + 2 = 4

Answer:

56,260

Step-by-step explanation:

plug in h = 160 into the equation:

52,260 + 25h --> 52,260 + 25 * 160 = 52,260 + 4000 = 56,260.

The artist will earn in total $56, 260.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

The given expression that represents the annual salary for a graphic artist is,

52,260 + 25h

where, h = number of hours

Now If the artist spends 160 hours on special projects throughout the year, put h = 160 in the given expression,

52,260 + 25h = 52,260 + 25*160

or, 52,260 + 25h = 52,260 + 4000

or, 52,260 + 25h = 56,260

which is the required amount an artist will earn in an year.

Thus, the artist will earn in total $56, 260.

The correct expression in the question is,

52,260 + 25h

To learn more about expression:

https://brainly.com/question/15759125

#SPJ2

Answer:

[tex]\dfrac{18(3\sqrt2-1)}{17}[/tex]

Step-by-step explanation:

The given expression is :

[tex]x=\dfrac{18}{3\sqrt2+1}[/tex]

We need to rationalize the denominator.

Multiplying and dividing both sides by [tex]3\sqrt2+1[/tex] as follows :

[tex]x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}[/tex]

So, the answer is [tex]\dfrac{18(3\sqrt2-1)}{17}[/tex].

Answer:

180-138

=42, is the answer

Step-by-step explanation:

sin 65=p/h

0.906=4/x

0.906x=4

x=4/0.906

x=4.41

hope it helps.

Answer:

x=9.46

Step-by-step explanation:

a = b·sin(A)/sin(B) = 9.46481

Answer: m=-3/2

Step-by-step explanation: Rise/Run

Rise is 3

Run is -2

So it would be -3/2

Answer:

-3/2

Step-by-step explanation:

from khan