How many solutions does the equation have?

1 answer:

8 0

6 - a = 1/3(9a - 18)
6 - a = 3a - 6
-a - 3a = -6 - 6
-4a = -12
a = -12/-4
a = 3..........one solution

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Vinvika [58]

Answer:

The point estimate for population mean is 8.129 Mpa.

Step-by-step explanation:

We are given the following in the question:

Data on flexural strength(MPa) for concrete beams of a certain type:

11.8, 7.7, 6.5, 6.8, 9.7, 6.8, 7.3, 7.9, 9.7, 8.7, 8.1, 8.5, 6.3, 7.0, 7.3, 7.4, 5.3, 9.0, 8.1, 11.3, 6.3, 7.2, 7.7, 7.8, 11.6, 10.7, 7.0

a) Point estimate of the mean value of strength for the conceptual population of all beams manufactured

We use the sample mean, $\bar{x}$ as the point estimate for population mean.

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$\bar{x} = \dfrac{\sum x_i}{n} = \dfrac{219.5}{27} = 8.129$

Thus, the point estimate for population mean is 8.129 Mpa.

4 0

3 years ago

faust18 [17]

:) Hope this helps you to your question

6 0

4 years ago

kondaur [170]

Answer:

5 inches

Step-by-step explanation:

The formula to find the surface area of a cylinder is A = 2πrh + 2πr²

Since we need the height we will need to solve for h

Now we can plug in our known values and solve for h

Here we were given the diameter, d, however this formula is in terms of the radius, r.
The diameter is equivalent to double the radius, d = 2r
Therefore the radius is equivalent to half the diameter, $r=\frac{1}{2} d$
Plugging in d to solve for r we get $r=\frac{1}{2}(2)$ which simplifies to r = 1