Brainiest:):):):):):):)

Paladinen [302]

What you would need to do, is add the area of all the rectangles. The formula is wl or width * length. So find the are of all 3 rectangles, starting from the top:

5*2 = 10

3*2 = 6

5(because the rectangles are the same length)*2=10

10+10+6=26. The area of your rectangle is 26 units

3 0

3 years ago

What is the volume of the prism?

k0ka [10]

Answer:

13 1/8 units³

Step-by-step explanation:

(see attached for reference)

Volume = Length x Width x Height

= 1 1/2 x 3 1/2 x 2 1/2 (convert to improper fractions)

= 3/2 x 7/2 x 5/2

= (3 x 7 x 5) / (2 x 2 x 2 )

= 105/8

= 13 1/8 units³

7 0

3 years ago

A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability

lana66690 [7]

Answer:

1/4

Step-by-step explanation:

there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4

4 0

3 years ago

A particular brand of dishwasher soap is sold in three sizes: 25 oz, 45 oz, and 60 oz. Twenty percent of all purchasers select a

Verdich [7]

Answer:

(a) <u>Sampling distribution </u>

P(25) = 0,04

P(35) = 0.1 + 0.1 = 0,2

P(42,5) = 0.06 + 0.06 = 0,12

P(45) = 0,25

P(52,5) = 0.15 + 0.15 = 0,3

P(60) = 0,09

(b) E(X) = 45.5 oz

(c) E(X) = μ

Step-by-step explanation:

The variable we want to compute is

$X=(X1+X2)/2$

For this we need to know all the possible combinations of X1 and X2 and the probability associated with them.

(a) <u>Sampling distribution </u>

Calculating all the 9 combinations (3 repeated, so we end up with 6 unique combinations):

P(25) = P(X1=25) * P(X2=25) = p25*p25 = 0.2 * 0.2 = 0,04

P(35) = p25*p45+p45*p25 = 0.2*0.5 + 0.5*0.2 = 0.1 + 0.1 = 0,2

P(42,5) = p25*p60 + p60*p25 = 0.2*0.3 + 0.3*0.2 = 0.06 + 0.06 = 0,12

P(45) = p45*p45 = 0.5 * 0.5 = 0,25

P(52,5) = p45*p60 + p60*p45 = 0.5*0.3 + 0.3*0.5 = 0.15 + 0.15 = 0,3

P(60) = p60*p60 = 0.3*0.3 = 0,09

(b) Using the sample distribution, E(X) can be expressed as:

$E(X)=\sum_{i=1}^{6}P_{i}*X_{i}\\E(X)=0.04*25+0.2*35+0.12*42.5+0.3*52.5+0.09*60 = 45.5$

The value of E(X) is 45.5 oz.

(c) The value of μ can be calculated as

$\mu=\sum_{i=1}^{3}P_{i}*X_{i}\\\mu=0.2*25+0.5*45+0.3*60=45.5$

We can conclude that E(X)=μ

We could have arrived to this conclusion by applying

$E(X)=E((X1+X2)/2)=E(X1)/2+E(X2)/2\\\\\mu = E(X1)=E(X2)\\\\E(X)=\mu /2+ \mu /2 = \mu$

4 0

4 years ago

The perimeter of the triangle is 13 inches. What is the length of the shortest side?

vlabodo [156]

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

$x - 5 + \frac{x}{2} + 6 = 13$

Solve to find the value of x

$\frac{2x - 10 + x + 12}{2} = 13$

$\frac{3x + 2}{2} = 13$

Multiply both sides by 2

$\frac{3x + 2}{2}*2 = 13*2$

$3x + 2 = 26$

Subtract 2 from both sides

$3x + 2 - 2 = 26 - 2$

$3x = 24$

Divide both sides by 3

$\frac{3x}{3} = \frac{24}{3}$

$x = 8$

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

6 0

3 years ago