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astraxan [27]
3 years ago
10

Which expression is equivalent to(8w 7x-5y3z-9)-2/3

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

Answer:

56wx - 15yz -  \frac{29}{3}

Step-by-step explanation:

1. \: 56wx - 5y \times 3z - 9 -  \frac{2}{3}  \\ 2. \: 56wx - 15yz - 9 -  \frac{2}{3}  \\ 3. \: 56wx - 15yz + ( - 9 -  \frac{2}{3} )

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Computers from a certain manufacturer have a mean lifetime of 62 months, with a standard deviation of 12 months. The distributio
Goryan [66]

Answer:

Between 38 and 86 months.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

In this question:

Mean of 62, standard deviation of 12.

Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least approximately 75% of the computers?

Within 2 standard deviations of the mean, so:

62 - 2*12 = 38

62 + 2*12 = 86

Between 38 and 86 months.

6 0
3 years ago
One root of f(x) = 2x3 + 9x2 + 7x – 6 is –3. Explain how to find the factors of the polynomial.
uysha [10]

Step-by-step explanation:

Given f(x) = 2x³ + 9x² + 7x – 6

Also given that -3 is a root, which means (x+3) is a factor of f(x).

In order to find the other factors, we need to divide f(x) by (x-3)

or  (2x³ + 9x² + 7x – 6) /  (x-3)

you can either use long division or synthetic division to perform this division, either way, you will end up with :

(2x³ + 9x² + 7x – 6) /  (x-3) = (2x² + 3x -2) which is also a factor of f(x)

Hence f(x) can be expressed

f(x) = 2x³ + 9x² + 7x – 6 = (x-3)(2x² + 3x -2)

We notice that for (2x² + 3x -2) you can further factor this using quadratic factoring (or your choice of method to solve quadratic equations).

By factoring, (2x² + 3x -2) = (2x-1) (x+2)

hence f(x) = (x-3)(2x² + 3x -2) = (x-3)(2x-1)(x+2)

7 0
2 years ago
Read 2 more answers
The school cafeteria buys bottles of water for $0.75 each and sells them for $1.05 each. By what percentage does the cafeteria m
ehidna [41]

Answer:

40

Step-by-step explanation:

Cost of the bottles of water = $0.75

Sales of the bottle= $1.05

markup Price= [(Sales of the bottle)-(Cost of the bottles of water)]/Cost of the bottles of water

= ($1.05- $0.75)/$0.75

= $0.30/$0.75

=0.40×100%

40%

=

7 0
2 years ago
Please help soon! Will give 5 starts, thanks, and brainliest! Thank you! The hypotenuse of a right triangle measures 6sqrt(2) in
givi [52]

Answer:

Area = 18 sq. inches

Step-by-step explanation:

Hypotenuse = 6√2

as it is a right angled triangle and one of the angles is 45°,

=> the other angle is also 45°.

According to 45°-45°-90° theorem,

the side is 1/√2 times the hypotenuse.

Therefore, side = 6√2 × 1/√2

=6 inches.

Area of triangle = 1/2 × base × height

= 1/2 × 6 × 6

= 1/2 × 36

=18 sq. inches

3 0
3 years ago
Read 2 more answers
An SUV uses 12 gallons<br> of gas to drive 264 miles.<br> What is the SUV's miles per gallon rate?
Shkiper50 [21]

Answer: 22 miles per gallon.

Step-by-step explanation: you divide 264 by 12 and you get 22 making it the answer.

7 0
2 years ago
Read 2 more answers
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