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m_a_m_a [10]
3 years ago
13

Help please !! Solve -1.6r+5= -7.8

Mathematics
2 answers:
Nikolay [14]3 years ago
5 0

subtract 5 from both sides. -1.6r=-5 divide both sides by-1.6. r=-5/-1.6 simp;ify-5/1.6 to 3.125. r =3.125

jonny [76]3 years ago
3 0

Answer: r=8

Step-by-step explanation: -1.6r+5=-7.8

-16/10r+5=-78/10

-2^4/2.5r+5= -2X3X13/5

-2^3/5r+5= - 3X13/5

(-8r)+25/5=-3X13/5

=8 so r=8

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<em>70%</em>

<em></em>

Step-by-step explanation:

Given

Number of Siblings:   ||    0  ||    1    ||      2     ||       3

Number of Students: ||    4  ||    18    ||    10     ||       8

Required

Determine the probability of a student having at least one but not more than 2 siblings

First, we have to determine the total number of 10th grade students

Total = 4 + 18 + 10 + 8

Total = 40

The probability of a student having at least one but not more than 2 siblings = P(1) + P(2)

Solving for P(1)

P(1) = number of students with 1 sibling / total number of students

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Number of students with 1 sibling = 18

So:

P(1) = \frac{18}{40}

Solving for P(2)

P(2) = number of students with 2 siblings / total number of students

From the given parameters, we have that:

Number of students with 2 siblings = 10

So:

P(2) = \frac{10}{40}

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Take LCM

P(1) + P(2) = \frac{18 + 10}{40}

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Divide numerator and denominator by 4

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Convert to percentage

P(1) + P(2) = 70\%

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Answer:

31.35%

Step-by-step explanation:

<h3><u>Initial</u><u> </u><u>reading</u><u>:</u></h3>

In the box, there are:

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Total number of pens in the box = 6 + 4 + 7

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<em>If we count pens as outcomes the total number of possible outcomes are 17</em>.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>New</u><u> </u><u>reading</u><u>:</u></h3>

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Probability</u><u>:</u></h3>

\boxed{ \mathsf{probability =  \frac{favorable \: outcomes}{total \: outcomes} }}

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

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For showing it as some percent we'll just multiply the fraction by 100

\implies \mathsf{ \frac{5}{16} \times 100 }

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<h3><u>As</u><u> </u><u>a</u><u> </u><u>percent</u><u>:</u></h3>

\implies \mathsf{ \underline{ 31.25 \: \% } }

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