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Valentin [98]
3 years ago
10

Fred and George ate 23 apples in July, 46 apples in August, 69 apples in September, and 92 apples in October. If this trend cont

inued, how many apples did Fred and George eat in November?
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0
The answer is 115

The sequence of the total apples look like this:

23 _ 46 _ 69_92_X

In which x is the total amount of apples eaten in the october.

From the sequence above we can see that each months gred and george consume additional of 23 apples

proof:
46 - 23 = 23
69 - 46 = 23
92 - 69 = 23

So, the amount of apples they will eat in November is:
92 + 23 = 115



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Applying Pythagoras' Theorem to the right triangle

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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
PLEASE HELP 20 POINTS<br> solve the system of equations y=-5x-7 and -4x-3y=-1 by substitution.
Ainat [17]

Answer:

Solution: x = -2; y = 3 or (-2, 3)

Step-by-step explanation:

<u>Equation 1:</u>  y = -5x - 7  

<u>Equation 2:</u> -4x - 3y = -1

Substitute the value of y in Equation 1 into the Equation 2:

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Combine like terms:

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Subtract 21 from both sides:

11x + 21 - 21 =  - 1 - 21

11x = -22

Divide both sides by 11 to solve for x:

11x/11 = -22/11

x = -2

Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:

-4x - 3y = -1

-4(-2) - 3y = -1

8 - 3y = -1

Subtract 8 from both sides:

8 - 8 - 3y = -1 - 8

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Divide both sides by -3 to solve for y:

-3y/-3 = -9/-3

y = 3

Therefore, the solution to the given systems of linear equations is:

x = -2; y = 3 or (-2, 3)

Please mark my answers as the Brainliest if you find this helpful :)

7 0
3 years ago
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