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Anestetic [448]
2 years ago
7

The figures are similar. The ratio of the perimeters is 8 : 5. Find X

Mathematics
1 answer:
vova2212 [387]2 years ago
3 0

Answer:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

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Jessica has a four-sided die, a six-sided die, and a 12-sided die. She rolls the three dice once. Let Z be the number of fours s
yawa3891 [41]

Answer:

The value of E [Z]  is 0.50.

Step-by-step explanation:

The expected value is computed using the formula:

E(X)=\sum x\cdot P(X= x)

Denote the three dices as follows:

X₁ = a four-sided die

X₂ = a six-sided die

X₃ = a 12-sided die

Define the indicator variables as follows:

I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.

The probability of rolling a 4 in the three dices are as follows:

P(X_{1}=4)=\frac{1}{4}\\\\P(X_{2}=4)=\frac{1}{6}\\\\P(X_{3}=4)=\frac{1}{12}

Compute the value of E [Z] as follows:

E(Z)=E(I_{1})+E(I_{2})+E(I_{3})

         =(1\times\frac{1}{4})+(1\times\frac{1}{6})+(1\times\frac{1}{12})\\\\=\frac{3+2+1}{12}\\\\=\frac{6}{12}\\\\=\frac{1}{2}\\\\=0.50

Thus, the value of E [Z]  is 0.50.

8 0
2 years ago
Is -2.7 an integer??????????
ale4655 [162]

Answer:

ya you can take it both like integer and decimal

cause - the negative mark make it negative the . make it decimal

3 0
3 years ago
2(3+4y)=46<br> please help asap
sleet_krkn [62]

Answer:

y=5

Step-by-step explanation:

esa es la respuesta

3 0
3 years ago
Read 2 more answers
Oscar is buying 4 new tires for his car. He has $240 budgeted for the tires, but can afford to pay $35 more or less than that am
Pachacha [2.7K]

Given that the dealer sells a dozen tires for $240, every 3-tire set costs $60. There are six 2-tire sets in a dozen. Thus, his total revenue should be $360. The total profit is the difference between the total revenue and the total cost. The answer is therefore, the first choice, $120.

4 0
3 years ago
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The Width of a rectangular Park is 10 metres shorter than its length.if the area of the park is 236 square metre find its length
madam [21]

Answer:

let length be l

breadth=l-10m

area of rectangular park=236m²

Step-by-step explanation:

area of rectangular park=236m²

l×(l-10)=236

l²-10l-236=0

l²-2.l.5+5²-236-5²=0

(l-5)²-236-25=0

(l-5)²=261

(l-5)=√261

(l-5)=16.15

l=16.15+5=21.15

b=l-10=21.15-10=11.15

3 0
2 years ago
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