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Korolek [52]
3 years ago
11

What is the axis of symmetry of the quadratic function y=2(x+3)^2+5

Mathematics
1 answer:
Pavel [41]3 years ago
3 0

Answer:

x=-3

Step-by-step explanation:

The quadratic function y=2(x+3)^2+5 determines the parabola which has the vertex at point (-3,5). The axis of symmetry passes through the vertex and is parallel to the y-axis. Hence, its equation is x=-3 (see attached diagram).

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saul85 [17]
Volume =16.89cm squares
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3 years ago
Delta makes 12-volt car batteries. These batteries are known to be normally
blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the sample size n =12 -volt car batteries</em>

<em>Let  'X' be a Random variable in a normal distribution</em>

<em>Given that mean of the normal distribution = 45 months</em>

<em>Given that the Standard deviation of the normal distribution = 8months</em>

<u><em>Step(ii):-</em></u>

Let  X₁ = 3 years = 12 × 3 = 36 months

Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125

Let X₂ = 4 years  = 12 × 4 = 48 months

Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375

<u><em>Step(iii)</em></u>:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

                   = P(Z≤0.375) - P(Z≤-1.125)

                   = 0.5 +A(0.375) - (0.5-A(1.125)

                   = 0.5 + 0.1480 - (0.5 -0.3708)

                  = 0.1480 + 0.3708

                 = 0.5188

<u><em>Final answer:-</em></u>

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

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5 0
2 years ago
Help please best answer
Anni [7]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~

When looking at this graph we see 2 things:

(1) How they made the graph, looks awful, anyway...

(2) They practically give you the answer...

When finding an answer to a question like this, you want to use a formula (like this):

A = t * p  (where A is the amount of people, t is total amount of people, and p is percent of people / 100)...

So... we fill in the givens...

We know t = 400, and (by looking at the graph) we see that p is around 0.10 and 0.15.  So for our sake we'll make p = 0.13 (about halfway)...

A = 400 * 0.13

A ~ 52

The answer is: About 52 people bought 20 items...

And because we got 52, and 52 is close to 54...

<em>The Answer: B.) 54</em>

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3 years ago
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1.53 rounded to the nearest tenth is 1.5
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I can see it, it's too blurry and small
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