Solve for x: 8x -9 >15

Answer:

Is the number of tosses for each coin enough for the sampling distribution of the difference in sample proportions PA-PB to be approximately normal?

b. No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.

Step-by-step explanation:

a) Data and Calculations:

The probability of coin A landing tails-side up = 0.5

The proportion of times coin A lands tails-side up (PA) = 20 * 0.5 = 10

Therefore, the probability of coin A landing heads-side up = 0.5 (1 - 0.5)  

And the proportion of times that coin A lands heads-side up = 20 * 0.5 = 10.  

The proportion on either side is equally distributed.

This is why 20 tosses for coin A is enough, since the sample proportions PA is approximately normal, symmetric, and equally distributed.  There will be equal amounts of 10 tosses (0.5 *20) for either heads-side up or tails-side up.

For coin B, the probability of landing tails-side up = 0.8

The proportion of times coin B lands tails-side up (PB) = 20 * 0.8 = 16

Therefore, the probability of coin B landing heads-side up = 0.2 (1 - 0-.8)

The proportion on either side is not equally distributed, but skewed.

This is why 20 tosses for coin B is not enough, since the sample proportions PB is not approximately normal, symmetric, and equally distributed.  There will be 16 tosses landing tails-side up (0.8*20) and only 4 tosses landing heads-side up (0.2*20).

The true statement about the sample proportions of coins A and B is (b) No, 20 tosses for coin A is enough, but 20 tosses for coin B is not enough.

The given parameters are:

Coin A

[tex]p = 0.5[/tex] --- the probability of landing tails-side up

[tex]n = 20[/tex] --- number of toss

Coin B

[tex]p = 0.8[/tex] --- the probability of landing tails-side up

[tex]n = 20[/tex] --- number of toss

Start by calculating the expected number of times both coins land on either sides.

For coin A, we have:

Expected number of tails

[tex]Tails = np[/tex]

[tex]Tails = 20 \times 0.5[/tex]

[tex]Tails = 10[/tex]

So, the expected number of heads would be:

[tex]Head = n - Tails[/tex]

[tex]Head = 20 - 10[/tex]

[tex]Head = 10[/tex]

This means that, there will an expected equal amount of outcomes for the heads and tails of coin A.

Hence, 20 tosses is enough for coin A because the proportion is equally distributed and approximately normal.

For coin B, we have:

Expected number of tails

[tex]Tails = np[/tex]

[tex]Tails = 20 \times 0.8[/tex]

[tex]Tails = 16[/tex]

So, the expected number of heads would be:

[tex]Head = n - Tails[/tex]

[tex]Head = 20 - 16[/tex]

[tex]Head = 4[/tex]

This means that, there won't be an expected equal amount of outcomes for the heads and tails of coin B.

Hence, 20 tosses is not enough for coin B because the proportion is neither equally distributed nor approximately normal.

So, the correct option is (b)

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Answer:

27

Step-by-step explanation:

If there are 90 notebooks, and 30% are orange, there would be 27 orange notebooks. 30% of 90 is 27.

Answer:

20

Step-by-step explanation:

Answer:

d. add

Step-by-step explanation:

Answer:

The common factors for 7,15,21 7 , 15 , 21 are 1 . The GCF (HCF) of the numerical factors 1 is 1 .

the greatest common factor of 7, 15, and 21 is 21.

To find the greatest common factor (GCF) of 7, 15, and 21, we can start by finding the prime factorization of each number:

7 = 1 × 7

15 = 1 × 3 × 5

21 = 1 × 3 × 7

Next, we identify the common prime factors among the numbers, which are 3 and 7. To find the GCF, we take the product of these common prime factors:

GCF(7, 15, 21) = 3 × 7 = 21

Therefore, the greatest common factor of 7, 15, and 21 is 21.

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#SPJ6

Step-by-step explanation:

x+118°=180(supplementary angles)

x=180-118

x=62°

Answer

I won’t say the answer but here

Step-by-step explanation:

So do 8+8 then 16+16 and keep going

Answer:

the class has 12 girls and 16 boys what is the ratio of the total students to boys in simplest form

Answer:

c) third quadrant

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

the quadrants are labeled left to right. Comment if u have any questions :)

Answer:

-8(-3)=24

maybe you could put me as  brainliest?

Answer:

$19

Step-by-step explanation:

100 x 19% = 100 x 0.19 = 19

Answer:

[tex] x = 7[/tex]

Step-by-step explanation:

Value of the exterior angle is equal to the addition of the opposite interior angles in a triangle

[tex]19 + 20 = 6x - 3 \\ 39 = 6x - 3 \\ 39 + 3 = 6x \\4 2 = 6x \\ \frac{42}{6} = \frac{6x}{6} \\ x = 7[/tex]

The percentage decrease from 10 to 3 should be considered as the 70%. Here percentage means when we divide numerator by denominator.

Since there are two numbers i.e. 10 and 3

We need to determine the percentage

So,

Here

[tex]= (10 - 3) / 10\\\\[/tex]

= 70%

hence, The percentage decrease from 10 to 3 should be 70%.

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Answer:

C is the answer that you are looking for.

Answer:

5/6 = 20/24

Step-by-step explanation:

Simplify the following:

((-5)/8)/((-3)/4)

Multiply the numerator by the reciprocal of the denominator, ((-5)/8)/((-3)/4) = (-5)/8×4/(-3):

(-5×4)/(8 (-3))

4/8 = 4/(4×2) = 1/2:

(-5)/(2 (-3))

2 (-3) = -6:

(-5)/(-6)

Multiply numerator and denominator of (-5)/(-6) by -1:

Answer: 5/6

Answer:

l. 60

Step-by-step explanation:

60 + 60 + 60 = 180

a triangle equals 180 degrees

Answer:

60 degrees

Step-by-step explanation:

every angle in a triangle must add to 180 degrees. So 180/3=60

Answer:

m

Step-by-step explanation:

m

Answer:

he would have a 20% chance he will pick a history book, so in decimal form it would be .2

Step-by-step explanation:

7+6+4+3=20

20*5=100

5*4=20

Answer:

It would be 1.2x+ + 1.5

Step-by-step explanation:

Here's why. Since they are both growing at the same rate and it can't be 1.95 or the second one would be 9.75 you have a starting price for 0 miles that being 1.50 and take the remaining amount and divide

Answer:

$1307.69

Step-by-step explanation:

Let the original investment be x.

Note that a 30% increase in a value is equal to multiplying a value by 130% and a withdrawal is to take out money. The final amount is $1500. Let’s write the equation with the information we have.

Equation:

130%x - 200 = 1500

(130/100)x = 1700

x = 1700(100/130) = $1307.69

I hope this helps! :)

Answer:

The hundredth thousands place.I hope this helps. Can you give me brainlest

Step-by-step explanation:

Answer:

When the point is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M' (k, -h). Therefore, the new position of point M (-2, 3) will become M' (3, 2). 2. Find the co-ordinates of the points obtained on rotating the point given below through 90° about the origin in clockwise direction.

option A

Answer:

D. rotate 90 counterclockwise then translate 4 units to the right

Answer:

20

Step-by-step explanation:

Answer:

The answer is 20 hamburgers and 25 hot dogs.

20(.5)+25(.25)<16.5

        10+6.25<16.5

            16.25<16.5

The budget is $16.50 and $16.25 is $.50 less therefore making it a possible option for Enrique.

Answer:

12.75

Step-by-step explanation:

Ez

Answer: 7 feet taller than the person.

Step-by-step explanation:

Answer:

b. real, irrational, and unequal

Step-by-step explanation:

Roots of a quadratic equation

The standard representation of a quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The argument of the radical is called the discriminant:

[tex]d=b^2-4ac[/tex]

The nature of the solutions of the equation depends on the value of d as follows:

We are given the equation:

[tex]-2x^2+6x+5=0[/tex]

Here: a=-2, b=6, c=5. The discriminant is:

[tex]d=6^2-4(-2)(5)=36+80=116[/tex]

d = 116

Since d is positive and a non-perfect square, the roots are:

b. real, irrational, and unequal