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ziro4ka [17]
3 years ago
8

Factor -5 out of -10a-25

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0
-5(2a+5)

You have to divide the terms by -5 
-10/-5 = 2 
-25/-5 = 5 

The answer is 2x+5 

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There are 500 sheets of paper in one ream. The counter on a copier says that 23,500 copies have been made. How many reams of pap
Anvisha [2.4K]
The answer to your question is 47 reams. I believe
5 0
3 years ago
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.
Anton [14]

Answer:

a) The evidence suggest the true mean life of a biomedical device > 5500

b) (5487.94, +∞)

c) There is evidence to support that the mean is equal to 5500

Step-by-step explanation:

Here we have

(a) To test the hypothesis we have the claim that the mean life of biomedical devices > 5500

Therefore, we put the null Hypothesis which is the proposition that a difference does not exist. That is

H₀:  μ = 5500

Therefore, the alternative hypothesis will be

Hₐ:  μ > 5500

The test statistic is then found by;

t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}} =\frac{5617.8-5500 }{\frac{234.5 }{\sqrt{15}}} \approx 1.95

The P value from the T table at df = n - 1 = 15 - 1 = 14 is

0.025 < P < 0.05

The P value is given as 0.036 from the T distribution at 14 derees of freedom df

Therefore, since P < α or 0.05, we reject the null hypothesis. That is we fail to reject Hₐ:  μ > 5500. The evidence suggest the true mean life of a biomedical device > 5500

(b) The 95% confidence interval is given as

CI=\bar{x}\pm t_\alpha \frac{s}{\sqrt{n}}

Which gives    t_\alpha =  \pm2.145

CI=5617.8\pm 2.145 \times \frac{234.5}{\sqrt{15}}

The confidence interval of the lower bound on the mean is then

(5487.94, +∞)

c) From the above result, we find that the mean of 5500 is contained in the range of the lower confidence on the mean. We can therefore, accept the null hypothesis. That is there is evidence to support that the mean is equal to 5500.

6 0
3 years ago
What is the factored form of 8X^2 +12X?
pogonyaev
The highest common factor of both terms is 4x, so take this out by dividing each term by 4x

8x^2 / 4x = 2x
12x / 4x = 3

So the factored form is:
4x(2x+3)
8 0
3 years ago
What rules change the input numbers to output numbers
klio [65]
The answer to that is  2x - 10
6 0
3 years ago
Read 2 more answers
Anyone know the answer to this?
kiruha [24]

Answer:

42

Step-by-step explanation:

Angle ABD = Angle CBD + Angle ABC

You know ABD is 70, CBD and ABC are in terms of x

70 = 5x + 13 + 3x + 33

70 - 13 - 33 = 8x

24 = 8x

3 = x

Replacing x in Angle ABC:

3 * 3 + 33 = 42

6 0
3 years ago
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