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Y_Kistochka [10]
3 years ago
7

2/3y=27 how do i figure out what 2/3y=27 is?

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

Answer:

y=40.5

Step-by-step explanation:

you need to get y out of a fraction, to do so multiply by the denominator on both sides

3(2/3y) = 3(27)

then divide to solve for y

2y = 81

y=40.5

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Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation o
hjlf

Answer:

46.18% of the items will weigh between 6.4 and 8.9 ounces.

Step-by-step explanation:

We are given that the weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.

<em>Let X =  weight of items produced by a machine</em>

The z-score probability distribution for is given by;

                Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean weight = 8 ounces

            \sigma = standard deviation = 2 ounces

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, percentage of items that will weigh between 6.4 and 8.9 ounces is given by = P(6.4 < X < 8.9) = P(X < 8.9 ounces) - P(X \leq 6.4 ounces)

   P(X < 8.9) = P( \frac{  X -\mu}{\sigma} < \frac{  8.9-8}{2} ) = P(Z < 0.45) = 0.67364  {using z table}

   P(X \leq 70) = P( \frac{  X -\mu}{\sigma} \leq \frac{  6.4-8}{2} ) = P(Z \leq -0.80) = 1 - P(Z < 0.80)

                                                 = 1 - 0.78814 = 0.21186

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.45 and x = 0.80 in the z table which has an area of </em>0.67364<em> and </em>0.78814<em> respectively.</em>

Therefore, P(6.4 < X < 8.9) = 0.67364 - 0.21186 = 0.4618 or 46.18%

<em>Hence, 46.18% of the items will weigh between 6.4 and 8.9 ounces.</em>

8 0
3 years ago
Solve the system of linear equations. separate the x- and y- values with a coma. -5x+6y=33 -18x+4y=-22
Pavel [41]
I hope I can help you:)

4 0
2 years ago
5. Use the rules for long division to divide 262 by 9. A. 29r1 B. 28 C. 30 D. 29
vfiekz [6]
Since 270=262+8, and \dfrac{270}9=30, we have

\dfrac{270}9=\dfrac{262}9+\dfrac89
\implies30-\dfrac89=\dfrac{262}9
\implies29+\dfrac19=\dfrac{262}9

so the answer is A.

6 0
3 years ago
Solve For H ---I&gt; A=1/2(B₁+B₂)h
Alex

Answer:

  • h = 2A/(B₁+B₂)

Step-by-step explanation:

<u>Given equation</u>

  • A=1/2(B₁+B₂)h

<u>Solving for h</u>

  • A=1/2(B₁+B₂)h
  • 2A = (B₁+B₂)h
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  • h = 2A/(B₁+B₂)

3 0
3 years ago
A classmate stated, "A concave polygon be can be regular because it can have all sides congruent." Is this student's claim valid
Novosadov [1.4K]

Answer:

No.

Step-by-step explanation:

A regular polygon has all sides and angles congruent. This is not possible with a concave polygon. If the sides are congruent in a concave polygon the angles  are not congruent.

7 0
3 years ago
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