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FromTheMoon [43]
2 years ago
11

I need help plz, i will give brainliest for the correct answer

Mathematics
1 answer:
DanielleElmas [232]2 years ago
6 0

Answer:

  • f'(1) exists: f'(1) = -2
  • f'(0) DNE

Step-by-step explanation:

<h3>a)</h3>

The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...

  f'(x) = -2x . . . . . for x > 0

Then at x = 1, the derivative is ...

  f'(1) = -2(1)

  f'(1) = -2

__

<h3>b)</h3>

The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.

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In a large population, 76% of the households have cable tv. A simple random sample of 225 households is to be contacted and the
serious [3.7K]

Answer:

0.017559

Step-by-step explanation:

Data provided:

Probability of Households Having cable TV, p₀ = 76% = 0.76

Therefore,

The probability that the Households not having cable TV = 1 - 0.76 = 0.24

Sample size, n = 225 households

sample proportions is less than 82% i.e p = 0.82

Now,

The standard error, SE = \sqrt{\frac{p_0(1-p_0)}{n}}

or

SE = \sqrt{\frac{0.76(1-0.76)}{225}}

or

SE = 0.02847

and,

Z=\frac{p-p_0}{SE}

or

Z=\frac{0.82-0.76}{0.02847}

or

Z = 2.107

therefore,

P(sample porportions < 0.82) = P(Z < 2.107)

now from the p value from the Z table

we get

P(sample porportions < 0.82) =  0.017559

6 0
2 years ago
Two trucks leave a warehouse at the same time. One travels due west at an average speed of 58 miles per hour, and the other trav
Aleksandr [31]

Answer:

17.33 hours or 17 hours 20 minutes.

Step-by-step explanation:

The distance travelled per hour for truck "A" = 58 miles.

The distance travelled per hour for truck "B" = 46 miles.

Now, it is obvious that the first truck (Truck A) was travelling with a fairly greater speed than the second truck (Truck B) so it is safe to say that the distance covered by truck A in a given number of hours will certainly be greater than the distance that is covered by truck B over the same period. In this situation, let us use "y" to represent that number of hours that it will take for the distance between the two trucks to now become 208 miles assuming the two trucks (A and B) maintained their respective average speed.

This means that, for that number of hours(y), the distance covered by the first truck (truck A) will be 58 × y = 58ymiles and the distance that the second truck would cover over the same period will be 46 × y = 46ymiles.

This ultimately implies that the distance between them or the difference between the distances that the trucks have covered after this unknown number of hours is 208miles. Since they are travelling due west and due east respectively and the first truck is travelling at a greater speed, then:

58y miles - 46y miles = 208 miles.

12y = 208

y = 208/12

y = 17.33 hours.

Since 1 hour = 60 minutes, then 0.33 hours is:

1 hour --------- 60 mins

0.33 hour -------- ? mins

= 0.33/1 × 60/1 = 20 minutes

If the drivers of both trucks maintained their average speeds, then the time it will take for them to become 208 miles apart is 17 hours 20 minutes or 17.33 hours

5 0
3 years ago
3/4x + 17 = 23 what does x equal
stepladder [879]
3/4x+17=23
        -17  -17
3/4x=6
/ 3/4  / 3/4 
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6 0
3 years ago
Read 2 more answers
What is the gcf of 60 and 20
Daniel [21]
Since 20<span> is the largest number </span>common<span> to both lists, the </span>GCF<span> of 40 and </span>60<span> is </span>20<span>.</span>
6 0
3 years ago
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bekas [8.4K]
Answer:

y = - 3/7x + 3

Step-by-step explanation:

First find the slope

Second find the y-intercept (already given by one of the points)

Third write it in slope-intercept form
6 0
2 years ago
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