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lorasvet [3.4K]
2 years ago
13

The sum of twice a number and five is greater than three times the number minus three.

Mathematics
2 answers:
AnnZ [28]2 years ago
5 0

Answer:

x<8

Step-by-step explanation:

2x+5>3x-3

2x+8>3x

8>x

strojnjashka [21]2 years ago
5 0

Answer:

n < 8

Step-by-step explanation:

Let n represent the unknown number.  Then:

2n + 5 > 3n - 3

Collecting like terms:

8 > n or n < 8

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What is the probability that a point chosen inside the rectangle is in the shaded triangle?
kvasek [131]

Answer:

wait what

Step-by-step explanation:

4 0
3 years ago
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
Hurry plzzz...Which of the following does NOT represent a way to determine if something is a
vesna_86 [32]

Answer:

d

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
X - 5 &lt; - 3 <br> Or<br> X + 8 &gt; 2
Alex Ar [27]

Step-by-step explanation:

x-5 < -3

or, x < -3 +5

or, x < 2

Now,

x +8 >2

or, x >2 - 8

or, x >-6

7 0
2 years ago
How to graph f(x)=(x-2)^2+5
tatyana61 [14]

That's a quadratic, a nice parabola in vertex form.


The parabola has a positive x^2 term, so it's a CUP, concave up positive. It will have a minimum at the vertex, which is (2,5). Plot that point.


Now we need a couple of guide points to draw the usual parabola going up from both sides of its vertex. We try x=0 giving (0,9) and see that x=4 also gives 9, (4,9). Plot the parabola through those two points and the vertex and you're done.



3 0
2 years ago
Read 2 more answers
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