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Brut [27]
4 years ago
8

Complete questions 6,7,8.

Mathematics
1 answer:
dusya [7]4 years ago
3 0

Step-by-step explanation:

<h3>6.) 80x²y</h3>

Prime factors of :

• 80 = 2 × 2 × 2 × 2 × 5

• x² = x × x

• y = y

• 80x²y = <u>2 × 2 × 2 × 2 × 5 × x × x × y</u>

<h3>7.) 56x³y²</h3>

Prime factors of :

• 56 = 2 × 2 × 2 × 7

• x³ = x × x × x

• y² = y × y × y

• 56x³y² = <u>2 × 2 × 2 × 7 × x × x × x × y × y</u>

<h3>8.) 81xy²</h3>

Prime factors of :

• 81 = 3 × 3 × 3 × 3

• x = x

• y² = y × y

• 81xy² = <u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>x </u><u>×</u><u> </u><u>y </u><u>×</u><u> </u><u>y</u>

#CMIIW ^^

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A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 23 times, and the man is asked to predict
77julia77 [94]

The probability that he would have done at least this well if he had no ESP is 0.99979

<h3>What is the probability of determining that he would have done well with no ESP?</h3>

To determine the probability, we need to first find the probability of doing well with ESP.

The probability of having 20 correct answers out of 23 coin flips is:

\mathbf{=(\dfrac{1}{2})^{20}}

Since we have 20 correct answers, we also need to find the probability of getting 3 answers wrong, which is:

\mathbf{=(\dfrac{1}{2})^{3}}

There are (^{23}_{20}) = 1771 ways to get 20 correct answers out of 23.

Therefore, the probability of doing well with ESP is:

\mathbf{= 1771 \times (\dfrac{1}{2})^{20}} \times (\dfrac{1}{2})^{3}}

= 0.00021

The probability that he would have at least done well if he had no ESP is:

= 1 - 0.00021

= 0.99979

Learn more about probability here:

brainly.com/question/24756209

#SPJ1

8 0
2 years ago
Write a linear equation in slope- intercept form given 2x +5y =35
prohojiy [21]

Answer:

(0,−7)

Explanation:

To find the y-intercept of an equation, set x equal to 0 and solve: In the case of 2x−5y=35, let's replace all instances of x in the equation with 0 and solve for y: 2(0)−5y=35−5y=35−5y−5=35−5

y=−7

Thus, the y-intercept is at (x y)=

(0,−7).

6 0
3 years ago
John's ordinary step covers 18 inches. How many steps does he take in walking 10 yards?
Jet001 [13]

Answer:

John takes 20 steps in 10 yards.

Step-by-step explanation:

1 yard = 36 inches

10 yards = 36 x 10 = 360 inches

Since John's step covers 18 inches, divide 360 by 18.

360/18 = 20 steps

4 0
3 years ago
Can someone help me math homework
RSB [31]
We fill in the following formula:
\frac{part}{total}  \times 100\%

So in this case we get
\frac{17}{20}  \times 100\% = 85\%

Therefore the answer is 85%
3 0
3 years ago
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A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 5 m and a depth of 1.4
Korolek [52]

Answer:

8 hours

Step-by-step explanation:

basic equation

Q (flow rate) = V (volume)/ t (time)

so to find the time we just rearrange the equation and become

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V = πr²T

and r (radius) = ½ diameter

V = 3.14 x 5² x 1.4

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if the Q is 13 m³/hour then

t = 109.9/13 = 8.453 hours

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6 0
3 years ago
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