Pls help me !!!!!!!!!!!!!!!!!!!!

Toby wants to find the volume of a solid toy soldier.

mr Goodwill [35]

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm

Height of the container when water is filled = $(h_1)$ = 4 cm

Height of the container when the toy is submerged = $(h_2)$ =6.6 cm

Volume of the toy = Volume of the container with the toy - Volume of the container (with water)

Volume of the toy = $(l\times b\times h_2) - (l\times b\times h_1)$

= $(l\times b\times)(h_2-h1)$

= $(6\times 8)(6.6-4)$

= $48\times 2.6$

= $124.8$ cubic centimeters.

So,the closest value to the volume of the toy is 125 cubic centimeters.

6 0

3 years ago

Help asap please! 2/5+????=7/10 Find the missing fraction

docker41 [41]

Answer:

3/10

Step-by-step explanation:

2/5 + x = 7/10

x = 7/10 - 2/5

x = 7/10 - 4/10

x = 3/10

8 0

2 years ago

Read 2 more answers

miranda went to the music store to purchase some items. the sales tax was 5 percent per item. if she bought a dvd for $19, how m

posledela

$19/1.05= $18.095 rounds to $18.10
The sale tax on the item is $0.90

3 0

3 years ago

Read 2 more answers

Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two

Tom [10]

Answer:

E (X) = 1.8

Var (X) = 0.36

σ = 0.6

Step-by-step explanation:

Solution:-

- Denote the random variable X : is the number of red marbles that Suzan has in her hand after she selects three marbles.

- Total sample space (bag) have the following quantity of colored marbles:

Bag : { 3 Red , 2 Green }

- Suzan selects three marbles from the bag. The Event (X) defines the number of red marbles out of 3.

- The total number of outcomes / selections for randomly selecting 3 balls from the bag:

All outcomes = 5 C 3 = 10

- The probability distribution of the random variable X, we will use combinations to determine the required probabilities:

X = 1 red marble:

P ( X = 1 ) : Suzan chooses 1 Red marble from the available 3 red marble and 2 green marbles.

P ( X = 1 ) = [ 3C1*2C2 ] / all outcomes = (3*1) / 10 = 0.3

X = 2 red marble:

P ( X = 2 ) : Suzan chooses 2 Red marble from the available 3 red marble and 1 green marbles.

P ( X = 2 ) = [ 3C2*2C1 ] / all outcomes = (3*2) / 10 = 0.6

X = 3 red marble:

P ( X = 3 ) : Suzan chooses 3 Red marble from the available 3 red marble.

P ( X = 3 ) = [ 3C3] / all outcomes = (1) / 10 = 0.1

- The probability distribution is as follows:

X : 1 2 3

P (X): 0.3 0.6 0.1

- The expected value E(X) for the given random variable X is:

E ( X ) = ∑Xi*P(Xi)

= 1*0.3 + 2*0.6 + 3*0.1

=1.8

- The variance Var(X) for the given random variable X is:

Var ( X ) = ∑Xi^2*P(Xi) - [ E(X) ] ^2

= 1^2*0.3 + 2^2*0.6 + 3^2*0.1 - 1.8^2

= 0.36

- The standard deviation for the given random variable X is:

σ = √Var(X)

σ = √0.36

σ = 0.6

5 0

4 years ago

Find x by using the quadratic formula x2 − 0.011x − 0.063 = 0

Effectus [21]

X=0.037

I would recommend using something like Math Papa for future problems like this.

6 0

3 years ago

Read 2 more answers