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Natasha_Volkova [10]
2 years ago
7

A bowl of flower seeds contains 5 petunia seeds and 15 begonia seeds. Riley calculated the probability that a random selected se

ed is a petunia seed as 1/3. Describe and correct Riley's error.​
Mathematics
1 answer:
Vlad1618 [11]2 years ago
7 0

Answer:

Riley divided the number of petunia seeds by the number of begonia seeds, getting \frac {5}{15} = \frac {1}{3}. What you actually need to do to calculate the probability of selecting a petunia seed is divide the number of petunia seeds by the <em>total</em> number of seeds. 5 petunia seeds and 15 begonia seeds makes 20 total seeds, so you divide 5 petunia seeds by 20 total seeds to get \frac {5}{20} = \frac {1}{4}.

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PLEASEE HURRYY Which expression is equivalent to the complex number. 10+3i
irga5000 [103]

Answer:

(4+7i)-2i(2+3i) = 10+3i

Step-by-step explanation:

We need to find the expression that is equivalent to the complex number 10+3i.

Option 1. 2i(4-5i)+(1-7i)

=8i-10i²+1-7i

∵ i² = -1

=8i-10(-1)+1-7i

=8i+10+1-7i

=11+i (incorrect)

Option 2. (4+7i)-2i(2+3i)

=4+7i-4i-6i²

=4+7i-4i-6(-1)

=4+7i-4i+6

=10+3i (Correct)

Option 3. (-3+5i)-3i(4+5i)

= (-3+5i)-12i-15i²

= -3+5i-12i-15(-1)

= -3+5i-12i+15

=12-7i (incorrect)

Option 4. 3i(4+7i)+(11+2i)

= 12i+21i²+11+2i

=12i+21(-1)+11+2i

= 12i-21+11+2i

=14i-10 (incorrect)

Hence, the correct option is (B).

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2 years ago
Read 2 more answers
FILIPINO 10
Serjik [45]

Step-by-step explanation:

Pabula- ang pabula ay nang galing sa English world na parable na nang galing namn sa Greek world na parabol na ang ibig sabihin na maiksing sanaysay.

Emento-ang mga Elemento na ma tag puan sa parabulang kwento at banghay ng kwento.

Nilalaman-ang nilalaman ng parabula ay tungkol sa isang katiwala na nag lulustay ng ari-arian sa kanyang amo.

Kakanyahan-ang kakanyahan ng parabula ang tusong katiwala ay ang pagtitiwala at pag taksil.

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4 0
2 years ago
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect?
lakkis [162]
Given a circle described by the equation:
y^2+x^2=100
and a function g(x) given by the table
\begin{center}&#10;\begin{tabular}{ |c |c |c }&#10; x & g(x) \\&#10; -1 & -22 \\&#10; 0 & -20  \\&#10;1 & -18   &#10;\end{tabular}&#10;\end{center}

The function g(x) describes a straight line with the equation:
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}  \\  \\  \frac{y-(-22)}{x-(-1)} = \frac{-20-(-22)}{0-(-1)}  \\  \\ \frac{y+22}{x+1} = \frac{-20+22}{0+1} = \frac{2}{1}  \\  \\ y+22=2(x+1)=2x+2 \\  \\ y=2x-20

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
y^2+x^2=100 \\  \\ (2x-20)^2+x^2=100 \\  \\ 4x^2-80x+400+x^2=100 \\  \\ 5x^2-80x+300=0 \\  \\ x^2-16x+60=0 \\  \\ (x-6)(x-10)=0 \\  \\ x-6=0 \ or \ x-10=0 \\  \\ x=6 \ or \ x=10

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0

Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
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Answer:

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