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Nana76 [90]
3 years ago
6

The watermelons grown on a farm have normally distributed weights, with a mean weight of 80.1 ounces and a standard deviation of

17.7 ounces. Which weight interval centered at the mean includes 50% of all the watermelons?
A) [65.2, 95.0]
B) [68.2, 92.0]
C) [71.0, 89.2]
D) [74.0, 86.2]
Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

the right answer is "C" I hope it helps

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Susan is celebrating her birthday by going out to eat at five guy's for burgers. If the bill in $40 and she wants to leave a tip
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Answer:

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Susan can easily figure the tip by the following procedure. 10% of the bill is the amount with the decimal point moved one place to the left, so is $4.00. 5% of the bill is half that, or $2.00.

15% of the bill is 10% + 5%, so is $4.00 +2.00 = $6.00. The tip will be $6.00.

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What is this fraction as a decimal?
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Lauren is given a 12% pay rise. Her new salary is £24,080
svet-max [94.6K]

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3 0
3 years ago
Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A
Vesna [10]

Answer:  The required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

Step-by-step explanation:  We are given to find the characteristic polynomial  of the following 3 × 3 matrix A  with unknown variable x :

A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].

We know that

for any square matrix M, the characteristic polynomial is given by

|M-xI|=0, where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

Thus, the required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

6 0
3 years ago
Please help this is a finals test and I’m timed I’ll give points + brainalist (:
stepladder [879]
The answer is D i think
3 0
2 years ago
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