Is 3 pounds greater than less than or = to 50 ounces

Least to greatest 52, 63, 55, 56, 62, 54, 59, 60, 53, 61, 88

BartSMP [9]

Answer:

52, 53, 54, 55, 56, 59, 60, 61, 62, 88

Step-by-step explanation:

You need to start from 52 to 88 (least to greatest) and then you will get answer.

7 0

2 years ago

Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak

crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

$\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353$

We can calculate the z values for x1=0.47 and x2=0.51:

$z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28$

We can now calculate the probabilities:

$P(0.47$

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

$\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05$

We can calculate the z values for x1=0.47 and x2=0.51:

$z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2$

We can now calculate the probabilities:

$P(0.47$

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0

3 years ago

Lucy’s chocolate bar is 54% cocoa. If the weight of the chocolate bar is 54 grams, how many grams of cocoa does it contain? Roun

Masteriza [31]

Answer:

The chocolate bar contains 29.2 grams of cocoa.

Step-by-step explanation:

Given that Lucy’s chocolate bar is 54% cocoa and the weight of the chocolate bar is 54 grams.

Hence, the amount of cocoa in the chocolate bar is given by

54% of 54 grams

54% percentage means 54/100 = 0.54

Hence, the amount of cocoa in the chocolate bar is

$0.54\times54\\=29.16$

When rounded to the nearest tenth, 29.16 should be equal to 29.2

Hence, the chocolate bar contains 29.2 grams of cocoa.

4 0

3 years ago

Use rulers and compasses to draw a line which is perpendicular to line AB at point C

netineya [11]

Answer:

Draw a line AB

Take a point C on AB

Fix the tip of compass at C and with a fix radius, cut AB on both sides of C

Mark those points D and E

Fix the tip of compass on D, and with the same radius, draw an arc above C

Do the same with E

Those two arcs will intersect at a point, mark the point F

Make a line passing through both C and F

Line CF is perpendicular to AB

8 0

2 years ago

Finding the roots (zeros)

GenaCL600 [577]

Answer:

1.5 + 1.3228756555323i

1.5 - 1.3228756555323i

Step-by-step explanation:

y = ax^2 + bx + c

a = 1, b = -3, c = 4

Using the quadractic formula:

$\frac{-b±\sqrt{b^2-4ac} }{2a} \\\\= \frac{3±\sqrt{9-4(1)(4)}}{2(1)}\\\\= \frac{3±2.64i}{2}\\\\= 1.5 ± 1.32$

Note: Kindly ignore the A in the above solution ^

Hence, there is no real solution. It has complex roots.

<em>Feel free to mark this as brainliest! :D</em>

4 0

2 years ago