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mylen [45]
3 years ago
6

A yardstick placed perpendicular to the ground casts a 4 foot shadow. At the same time, a grain silo casts a 34 foot shadow. Wri

te a proportion you can use to find the height of the silo
Mathematics
1 answer:
kobusy [5.1K]3 years ago
4 0
There is a 30 ft difference how can you not tell
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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
3 years ago
F(x)=kx+6 and find f(2)=16 find f(4)
Vikentia [17]

Answer:

f(4)=26

Step-by-step explanation:

f(2)=16

F(x) = kx+6

16=k(2)+6

16-6=k(2)

10=k(2)

<u>10</u> =<u>k(</u><u>2</u><u>)</u>

2 2

5= k

f(4)=k(4)+6

=5(4)+6

=20+6

f(4)=26

5 0
2 years ago
The following steps are used to rewrite the polynomial expression (x+2y)(x-5y)
neonofarm [45]
(x+2y)(x-5y)
do foil method:
x^2-5xy+2xy-10y^2
simplify x^2-3xy-10y^2,
so d is correct.
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3 years ago
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Marylee paid $40 for an item after she received a 20% discount. Marylee's friend says this means that the original price of the
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Answer:

Step-by-step explanation:

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What is the slope of a line parallel to the line y = 2x -1?
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