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Stolb23 [73]
3 years ago
11

What should be added2x ^3+ 3x^2+8x-4to get 0 ? ​

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0

Answer:

-2x^3 - 3x^2 -8x + 4 should be added

Step-by-step explanation:

Here, we want to know what should be added to the expression to get 0

What we should do in this case is to simply negate the values we have in the expression already

Adding the negated values will give 0

So, we have that;

-2x^3 - 3x^2 -8x + 4

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A normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97. What percentage of values lies between
lana [24]

Answer:

63% of the values lies between 70 and 85.

Step-by-step explanation:

We are given that a normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97.

<em>Let X = Set of numbers</em>

The z-score probability distribution for is given by;

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

where, \mu = mean value = 75

            \sigma = standard deviation = 7.97

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 values that lies between 70 and 85 is given by = P(70 < X < 85) = P(X < 85) - P(X \leq 70)

   P(X < 85) = P( \frac{  X -\mu}{\sigma} < \frac{  85-75}{7.97} ) = P(Z < 1.25) = 0.89435  {using z table}

   P(X \leq 70) = P( \frac{  X -\mu}{\sigma} \leq \frac{  70-75}{7.97} ) = P(Z \leq -0.63) = 1 - P(Z < 0.63)

                                                 = 1 - 0.73565 = 0.26435

<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 = 1.25 and x = 0.63 in the z table which has an area of 0.89435 and 0.73565 respectively.</em>

Therefore, P(70 < X < 85) = 0.89435 - 0.26435 = 0.63 or 63%

<em>Hence, 63% of the values lies between 70 and 85.</em>

6 0
3 years ago
We can think of the division expression 10 divided by 2 1/2 as the answer to the question “how many groups of 2 1/2 are in 10 an
mrs_skeptik [129]

Answer:

<em>4 Groups</em>

Step-by-step explanation:

2 1/2 can be written as 2.5, and since this is division, all we have to do is divide 10 by 2.5.

10/2.5=4

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2 years ago
Find the total surface area of this triangular prism.<br> 30 cm<br> 18 cm<br> 7 cm<br> 24 cm
Effectus [21]

Answer:

<em>588 cm²</em>

Step-by-step explanation:

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3 years ago
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