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Dafna1 [17]
2 years ago
9

Does anyone know the slope of this table?

Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
6 0

Answer: the slope is 2/1 or 2

Step-by-step explanation: slope is written rise over run, meaning y/x. By finding the difference between 13/5 and 17/7, then 17/7 and 21/9 to confirm, you can see that the difference is 4/2, which reduces to 2/1, which is simplified to 2.

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Radda [10]
The area of the trapezoid is the product of the height and the average of the two bases: 
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<span>But we want to exclude the area of the fountain. </span>
<span>Since it's circular its area is π times the square of its radius, or 16π square yd. </span>

<span>So the area of the park, excluding the fountain, is </span>
<span>870 - 16π square yd, </span>
<span>or about 820 square yd.</span>
5 0
3 years ago
Read 2 more answers
A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be
maw [93]

Answer:

Only vowels and odd numbers:

P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}

Spells math:

P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}

Step-by-step explanation:

We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)

Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.

So the final probability would be:

P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}

6 0
3 years ago
The radius of one circle is three the time radius of another circle. The sum of their areas is 12pi. Find the radius of each cir
zlopas [31]
   
\displaystyle\\&#10;\begin{cases}&#10;R_1 = 3R_2\\&#10;\pi R_1^2 +\pi R_2^2=12\pi ~~~\Big|~~:\pi &#10;\end{cases} \\  \\ &#10;\begin{cases} &#10;R_1 = 3R_2\\&#10;R_1^2 + R_2^2=12 &#10;\end{cases} \\  \\ &#10;(3R_2)^2+ R_2^2=12 \\  \\ &#10;9R_2^2 + R_2^2=12 \\  \\ &#10;10R_2^2=12\\\\&#10;R_2^2 = \frac{12}{10} = \frac{6}{5}  \\  \\ &#10;R_2 =  \boxed{\sqrt{\frac{6}{5}} } \\  \\ &#10;R_1 = \boxed{3\sqrt{\frac{6}{5}} }



7 0
3 years ago
A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro
zmey [24]

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(peppers weighing between 13 and 16 pounds)

P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%

P(13 \leq x \leq 16) = 58.9\%

58.9% produced produced peppers weighing between 13 and 16 pounds.

7 0
3 years ago
Please answer this if you can thank you :))
krek1111 [17]

<u>Answer:</u>

The variable that has the highest power is considered to be the degree of polynomials in an algebraic equation.

A column:

1) 4x^3 .

The degree is 3.

2)x^2+4.

The degree is 2.

3) x-2

The degree is 1.

B column:

1) 2x^2+1

The degree is 2.

2) x^2-x

The degree is 2.

3) x^3-5x^2+1

The degree is 3.

A×B columns:

While Multiplying two terms in a equation, if the variables are same then multiply the constant value and sum the exponent value.

1) (4x^3)(2x^2+1).

=8x^5+4x^3.

The degree is 5.

2) (x^2+4)(x^2-x).

=x^4-x^3+4x^2-4x.

The degree is 4.

3) (x-2)(x^3-5x^2+1).

=x^4-5x^3+x-2x^3+15x^2-3.\\=x^4-7x^3+15x^2+x-3.

The degree is 4.

3 0
3 years ago
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