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xxTIMURxx [149]
3 years ago
5

Find x, the answer is 5 but how do I get it?

Mathematics
2 answers:
dolphi86 [110]3 years ago
6 0

\red{ \rule{40pt}{555555pt}}

vredina [299]3 years ago
6 0

Answer:

x = 5

Observe the parallelograms inside the shape. Their sides correspond to half the big triangle.

Step-by-step explanation:

2x + (3x + 2) + (4x + 1) = 48

9x + 3 = 48

x = 5

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Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65
erma4kov [3.2K]

Answer:

Probability that the sample average is at most 3.00 = 0.98030

Probability that the sample average is between 2.65 and 3.00 = 0.4803

Step-by-step explanation:

We are given that the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.85.

Also, a random sample of 25 specimens is selected.

Let X bar = Sample average sediment density

The z score probability distribution for sample average is given by;

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

where, \mu = population mean = 2.65

           \sigma  = standard deviation = 0.85

            n = sample size = 25

(a) Probability that the sample average sediment density is at most 3.00 is given by = P( X bar <= 3.00)

    P(X bar <= 3) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{3-2.65}{\frac{0.85}{\sqrt{25} } } ) = P(Z <= 2.06) = 0.98030

(b) Probability that sample average sediment density is between 2.65 and 3.00 is given by = P(2.65 < X bar < 3.00) = P(X bar < 3) - P(X bar <= 2.65)

P(X bar < 3) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{3-2.65}{\frac{0.85}{\sqrt{25} } } ) = P(Z < 2.06) = 0.98030

 P(X bar <= 2.65) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{2.65-2.65}{\frac{0.85}{\sqrt{25} } } ) = P(Z <= 0) = 0.5

Therefore, P(2.65 < X bar < 3)  = 0.98030 - 0.5 = 0.4803 .

                                                                             

8 0
3 years ago
If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?
Darya [45]

<u>Given</u>:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

<u>Slope</u>:

The slope of the line can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (-3,2) and (3,2), we get;

m=\frac{2-4}{3+3}

m=\frac{-1}{3}

Thus, the slope of the line is m=\frac{-1}{3}

<u>y - intercept:</u>

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y=mx+b

Substituting the values, we have;

y=-\frac{1}{3}x+3

Thus, the equation of the line is y=-\frac{1}{3}x+3

<u>The y - value for 2010:</u>

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

x=5-5=0

Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation y=-\frac{1}{3}x+3, we have;

y=-\frac{1}{3}(0)+3

y=3

Thus, for 2010 the value of y is 3.

5 0
3 years ago
How do you find the volume of a rectangular prism?
cluponka [151]
You do bhw

6.5 (4) = 26


9 1/3 * 26 = 242.666667


hope this answer helps!!!!


please rate, thank, and mark as brainliest!!!! :D
4 0
3 years ago
Read 2 more answers
A linear function contains the following points.
DIA [1.3K]
The answer is A
in a y-int your x coordinate is always going to be 0
6 0
3 years ago
Which number does not belong? Why not?
Liono4ka [1.6K]

Answer:

see below

Step-by-step explanation:

30

30 does not belong because it is not a perfect square

4: 2X2

9: 3X3

16: 4X4

25: 5X5

30: (some number not an integer) X (some number not an integer)

36: 6X6

49: 7X7

3 0
3 years ago
Read 2 more answers
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