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Stella [2.4K]
3 years ago
12

Is 4/5 equal to 5/10?

Mathematics
2 answers:
vfiekz [6]3 years ago
4 0
No, 4/5 does not equal to 5/10.

Because:- When you try to see if it is proportional, it does not equal it.

4/5 ≠ 5/10

Simplify to make sure.

4/5 ≠ 1/2

4/5 is NOT equal to 1/2.

Therefore, our final answer is that 4/5 does not equal 5/10.
maria [59]3 years ago
3 0
You can say 4/5 = 8/10  so 8/10 > 5/10 so 4/5 is not equal to 5/10 so the answer is no :))
i hope this be helpful 
* happy new year * 
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Find the value of 'x'.<br> (2x + 1)<br> (6x - 9)
MakcuM [25]

Answer:

(2x+1)(6x−9)

=12x2−12x−9

Step-by-step explanation:

5 0
3 years ago
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The diameters of bearings used in an aircraft landing gear assembly have a standard deviation of ???? = 0.0020 cm. A random samp
vovikov84 [41]

Answer:

(a) We conclude after testing that mean diameter is 8.2500 cm.

(b) P-value of test = 2 x 0.0005% = 1 x 10^{-5} .

(c) 95% confidence interval on the mean diameter = [8.2525 , 8.2545]

Step-by-step explanation:

We are given with the population standard deviation, \sigma = 0.0020 cm

Sample Mean, Xbar = 8.2535 cm   and Sample size, n = 15

(a) Let Null Hypothesis, H_0 : Mean Diameter, \mu = 8.2500 cm

 Alternate Hypothesis, H_1 : Mean Diameter,\mu \neq 8.2500 cm{Given two sided}

So, Test Statistics for testing this hypothesis is given by;

                           \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } follows Standard Normal distribution

After putting each value, Test Statistics = \frac{8.2535-8.2500}{\frac{0.0020}{\sqrt{15} } } = 6.778

Now we are given with the level of significance of 5% and at this level of significance our z score has a value of 1.96 as it is two sided alternative.

<em>Since our test statistics does not lie in the rejection region{value smaller than 1.96} as 6.778>1.96 so we have sufficient evidence to accept null hypothesis and conclude that the mean diameter is 8.2500 cm.</em>

(b) P-value is the exact % where test statistics lie.

For calculating P-value , our test statistics has a value of 6.778

So, P(Z > 6.778) = Since in the Z table the highest value for test statistics is given as 4.4172  and our test statistics has value higher than this so we conclude that P - value is smaller than 2 x 0.0005% { Here 2 is multiplied with the % value of 4.4172 because of two sided alternative hypothesis}

Hence P-value of test = 2 x 0.0005% = 1 x 10^{-5} .

(c) For constructing Two-sided confidence interval we know that:

    Probability(-1.96 < N(0,1) < 1.96) = 0.95 { This indicates that at 5% level of significance our Z score will lie between area of -1.96 to 1.96.

P(-1.96 <  \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P(-1.96\frac{\sigma}{\sqrt{n} } < Xbar - \mu < 1.96\frac{\sigma}{\sqrt{n} } ) = 0.95

P(-Xbar-1.96\frac{\sigma}{\sqrt{n} } < -\mu < 1.96\frac{\sigma}{\sqrt{n} }-Xbar ) = 0.95

P(Xbar-1.96\frac{\sigma}{\sqrt{n} } < \mu < Xbar+1.96\frac{\sigma}{\sqrt{n} }) = 0.95

So, 95% confidence interval for \mu = [Xbar-1.96\frac{\sigma}{\sqrt{n} } , Xbar+1.96\frac{\sigma}{\sqrt{n} }]

                                                        = [8.2535-1.96\frac{0.0020}{\sqrt{15} } , 8.2535+1.96\frac{0.0020}{\sqrt{15} }]

                                                        = [8.2525 , 8.2545]

Here \mu = mean diameter.

Therefore, 95% two-sided confidence interval on the mean diameter

           =  [8.2525 , 8.2545] .

6 0
3 years ago
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The next model of a sports car will cost 6.9% less than the current model. The current model costs $48,000. How much will the pr
Murrr4er [49]

Answer:

Price is decreased by $3,312

And, the price of the next model is $44,688

Step-by-step explanation:

The computation is shown below:

Given that the current model cost is $48,000

And, there is 6.9% lower than the current model

So, the price would decrease in dollars is

= $48,000 × 6.9%

= $3,312

The price of the next model is

= $48,000 - $3,312

= $44,688

6 0
3 years ago
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vampirchik [111]

Answer:

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5 0
3 years ago
Solve each system of equations by graphing y=-1/2x+5 and y=3x-2
777dan777 [17]
Just make the equations equal to each other.  -0.5x+5=3x-2.  Solve for x and find that it is 2, via simple algebra.  Since you know x is 2, sub it in in either equation to find y.  y should be 4.  So the point that fits both equation is (2,4).  This shows that the two graphs of these lines will intersect at this exact point.

If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.
3 0
3 years ago
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