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liberstina [14]
2 years ago
13

How many solutions exist for the given equation? 0.75(x 40) = 0.35(x 20) 0.35(x 20) zero one two infinitely many

Mathematics
1 answer:
zimovet [89]2 years ago
7 0

Answer:

One solution

Step-by-step explanation:

0.75 (x + 40) = 0.35 (x + 20) + 0.35 (x + 20)

0.75x + 30 = 0.35x + 7 + 0.35x + 7

0.75x + 30 = 0.7x + 14

0.05x + 30 = 14

0.05x = -16

x = -320

Hope this helps!

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timofeeve [1]

Answer:

an = -2 -3(n-1)

Step-by-step explanation:

an = a1+(n-1) d

a1 =-2

d = -5--2

d = -5+2

d=-3

we are decreasing by 3 each time

an = -2 + (n-1) * -3

an = -2 -3(n-1)

3 0
3 years ago
Axis of symmetry of x^2-8x+12
Molodets [167]
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A factory makes propeller drive shafts for ships. A quality assurance engineer at the factory needs to estimate the true mean le
borishaifa [10]

Answer:

1000-1.96\frac{2}{\sqrt{4}}=998.04    

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

1000-1.96\frac{2}{\sqrt{4}}=998.04    

1000+1.96\frac{2}{\sqrt{4}}=1001.96    

5 0
3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
Can someone please clearly explain Question 7 and how to work this out?
SVETLANKA909090 [29]
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y = ax^2 solve for x

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y/a = ax^2/a

simplify
y/a =  x^2
so
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7 0
3 years ago
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