A second game uses spinner B. A player must spin a Wto win. Explain how to find the experimental probability of spinning a W.

Marissa claims that stacking 6 blocks with dimensions of One-half times 1 times 1 will give the same volume as stacking 9 blocks

quester [9]

Answer:

(A)Six of the one-half cubes would have a volume of 3 cubic units.
(D)Three of the one-third cubes will make 1 unit cube.
(E)Two of the one-half cubes will make 1 unit cube.
(F)Both stacks will have a volume of 3 cubic units.

Step-by-step explanation:

Marissa claims that stacking 6 blocks with dimensions of $\frac{1}{2}X1X1$ will give the same volume as stacking 9 blocks with dimensions of $\frac{1}{3}X1X1$ .

First, let us examine the volume of each of the blocks.

<u>For Block 1</u>

The dimensions are: $\frac{1}{2}X1X1$

Volume of 1 block = $\frac{1}{2}X1X1= \frac{1}{2} $ cubic units$

Volume of 6 blocks of dimension $=6* \frac{1}{2} =3$ cubic units$

<u>For Block 2 </u>

The dimensions are: $\frac{1}{3}X1X1$

Volume of 1 block = $\frac{1}{3}X1X1=\frac{1}{3} $ cubic units$

Volume of 9 blocks of dimension $=9*\frac{1}{3} =3$ cubic units$

The following statements out of Marissa's claim are true:

(A)Six of the one-half cubes would have a volume of 3 cubic units.

(D)Three of the one-third cubes will make 1 unit cube.

$3*\frac{1}{3} =1$ cubic units$

(E)Two of the one-half cubes will make 1 unit cube.

$2*\frac{1}{2} =1$ cubic units$

(F)Both stacks will have a volume of 3 cubic units.

8 0

3 years ago

A person must score in the upper of the population on an IQ test to qualify for membership in Mensa, the international high-IQ s

Anton [14]

Answer:

The person must have a score of 131 to be able to qualify for Mensa

Step-by-step explanation:

The complete and correct question is as follows;

A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. There are 110,000 Mensa members in 100 countries throughout the world (Mensa International website, January 8, 2013). If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for Mensa(to whole number)

Solution

Firstly, we calculate the z score from the given left tailed area. Since our upper limit is 2%, left tailed area will be 98% which is simply 0.98

Left tailed area = 0.98

Then, using standard score table,

z = 2.054

Mathematically; x = u + z * s

According to this question;

u = mean = 100

z = the critical z score = 2.054

s = standard deviation = 15

Substituting these values into the equation, we have

x = 100 + 15(2.054)

x = 100 + 30.81 = 130.81

This is 131 to whole number

8 0

3 years ago

How many smaller rectangles are there in an area model that represents 27 x 83? Why? What are their dimensions?

Harlamova29_29 [7]

There's an infinite number of any smaller figures in any figure. It's because whatever we do, we can always fit another number of figures inside the figures we just created.

4 0

4 years ago

Find the area enclosed by one leaf of the rose r = 4 cosine (5 theta ).

Anna007 [38]

Answer:

5 π/4

Step-by-step explanation:

Please see attachment