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xeze [42]
3 years ago
5

If DE=3x+7, EF=2x-3 and DF=7x-9, find DF

Mathematics
1 answer:
Lunna [17]3 years ago
5 0

Answer:

So -63 isn't the right answer. It is either 6.5 or 13/2 based on how your teacher wants the answer.

Step-by-step explanation:

I did the work to show you how i got there. It is definitely not -63. I hope this helps!

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A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When
Tanya [424]

Answer:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

\hat p = \frac{24}{250}= 0.096

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".  

The confidence interval for a proportion is given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.33  

And the margin of error would be:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

4 0
4 years ago
A one-year membership to Metro Gym costs $460. There is a fee of $40 when you join, and the rest is paid monthly. Write an equat
Masteriza [31]

Answer: See explanation

Step-by-step explanation:

Let the amount of money to be paid per month be represented by x. The information given in the question can then be formed into an equation as:

$40 + 12x = $460

From the equation, the amount that'll be paid monthly will be:

$40 + 12x = $460

12x = $460 - $40

12x = $420

x = $420/12

x = $35

The amount paid monthly is $35

4 0
3 years ago
Your teacher gives you a problem 6 divided by
anastassius [24]

6 divided by the number the teacher gave u lol
7 0
3 years ago
Tina walks at a rate of 180 feet per minute. how many feet per second does Tina walk?
tresset_1 [31]
3 feet or 1 yard. Hope it helped
7 0
3 years ago
HELP ME PLEASEE ASAP!!!! PLEASEE
11111nata11111 [884]

Answer:

<h2>25</h2>

Step-by-step explanation:

So there is this property,

Sum of two angle of triangle = exterior angle

So based on this we can form an algebraic equation (NOTE: this is an equilateral triangle so all the sides are 60°)

4x + 20 = 60 + 60 \\ 4x = 120 - 20 \\ 4x = 100 \\ x =  \frac{100}{4}  \\ x = 25

So it's option B.

6 0
3 years ago
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