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love history [14]
4 years ago
9

Liza y Abby planean extender sus mantas en un parque para un picnic con sus amigos. El parque está lleno de gente, así que extie

nden sus mantas como se muestra en el diagrama. 5.7 pies5.7 \text{ pies} 5.7 pies 4 pies4 \text{ pies} 4 pies 2 pies2 \text{ pies} 2 pies 5 pies5 \text{ pies} 5 pies 6 pies6 \text{ pies} 6 pies Determina el área total area que Liza y Abby tienen para su picnic.

Mathematics
1 answer:
Margarita [4]4 years ago
5 0

Answer:

Step-by-step explanation:

The question in English is basically find the area of the pink and blue area shown. The image is attached. This is Liza and Abby's blanket spread and we want the area of the whole shown.

<u>Solution:</u>

We want area of pink rectangle PLUS the blue region, which is a sum of lower rectangle and top triangle (if we cut it in this way).

First, area of pink rectangle:

Area = length * height

Area = 5 * 5.7

Area = 28.5

Now, the blue region, if broken down, lower portion is rectangle and upper portion is a triangle (we DISREGARD the overlapping region, of course!)

Lower Rectangle Area = length * height = 4 * 2 = 8

Upper triangle Area = 0.5 * base * height = 0.5 (4) * (6-2) = 0.5 * 4 * 4 = 8

So, blue region area = 8 + 8 = 16

<u>Total Area = 28.5 + 16 = 44.5 sq. ft.</u>

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Which of the following is equivalent to the expression
alisha [4.7K]

Answer:

i  Choice A

Step-by-step explanation:

i ^ 41

we use the rule of 4 for powers of i

if you get remainder of 0  = 1

if you get remainder of 1  = i

if you get remainder of 2= -1

if you get remainder of 1  = -i                  

41/4  = 10  remainder 1

so i^41  = i        

6 0
3 years ago
Pls answer 13 b ill mark u brainlist
gladu [14]

Answer:

7 students

Step-by-step explanation:

1+2+4=7students

5 0
3 years ago
The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10
Rama09 [41]

Answer:

a) E(X) = 6.45

b) E(X^{2} )= 57.25

c) V(X) = 15.648

d) E(3X + 2) = 21.35

e) E(3X^{2} +2) = 173.75

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) E(X) = \sum xP(x)

E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45

b)

E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\  E(X^{2} )= 57.25

c)

V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648

d)

E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35

e)

E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75

f)

V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832

g)

E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45

h)

V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648

6 0
3 years ago
Which expression is equivalent to (-5 x 2^2 x 2^0)^-2
Aloiza [94]
=(-5 x 4 x 1)^-2
= (-20)^-2
= 1/(-20)^2
= 1/400

so D then i think
3 0
3 years ago
PLEASE HELP
alina1380 [7]

When the dice is rolled 14 times then from the given data the probability of 1,2,3,4,5,6 is 3/14,1/14,4/14,1/14,3/14,2,14.

Given Roll of dice and outcomes from 1 to 14 is 1,3,5,4,5,3,3,1,3,5,6,1,6,2.

From the given collected data we can find out number of times each number came when the dice is rolled.

Number of times 1 came=3

Number of times 2 came=1

Number of times 3 came=4

Number of times 4 came=1

Number of times 5 came=3

Number of times 6 came=2

The probabilities are in fraction form:

P(1)=3/14

P(2)=1/14

P(3)=4/14

P(4)=1/14

P(5)=3/14

P(6)=2/14

The probabilities in decimal form:

P(1)=0.21

P(2)=0.07

P(3)=0.28

P(4)=0.07

P(5)=0.21

P(6)=0.14

The probabilities in percentage:

P(1)=21%

P(2)=7%

P(3)=28%

P(4)=7%

P(5)=21%

P(6)=14%

Hence the probabilities are 3/14,1/14,4/14,1/14,3/14,2,14.

Learn more about probabilities here brainly.com/question/24756209

#SPJ10

5 0
2 years ago
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