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3 years ago

5

Which of the functions graphed below has a removable discontinuity? A B C D

2 answers:

7nadin3 [17]3 years ago

8 0

Answer:

C

Step-by-step explanation:

PtichkaEL [24]3 years ago

5 0

<h2>Answer with explanation:</h2>

We know that a removable discontinuity occurs when:

The left and the right hand limit of the function exist at a point and are equal but is unequal to the function's value at that point.

Also it is a point on the graph such that it is undefined at that point.

The graph that has a removable discontinuity is attached to the answer.

Since, at x=0 the left hand and the right hand limit of the function exist but the function is not defined at x=0 , since in the graph there is a open circle at x=0 that means that the point is removed from the range.

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Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively.

TiliK225 [7]

Answer:

d. 200 and 2

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

Mean = 200

Standard deviation = 18

Sample size: 81

Standard error: $s = \frac{18}{\sqrt{81}} = 2$

So the correct answer is:

d. 200 and 2

7 0

3 years ago

Read 2 more answers

A trapezoid has a height of 6 feet. The measures of the bases are 12 units and 18

Alik [6]

The area of this trapezoid is 90 square feet.

<h3>Explanation : </h3>

Before we know the answer, let's we know the formula first. The formula for count the area of trapezoid is :

$\boxed {\bold {A = \frac {(a+b) \times h}{2}}}$

If :

A = area of trapezoid
a = bottom bases of trapezoid
b = top bases of trapezoid
h = height of trapezoid

Okay, let's we count its :

We know that :

a = bottom bases of trapezoid = 18 feet
b = top bases of trapezoid = 12 feet
h = height of trapezoid = 6 feet

Question : A = area = ... ?

Answer :

$A = \frac {(a+b) \times h}{2} \\ A = \frac {(12+18) \times \cancel6}{\cancel2} \\ A = 30 \times 3 = 90 \: {ft}^{2}$

<u>Subject</u><u> </u><u>:</u><u> </u><u>Mathematics</u>

<u>Keyword</u><u> </u><u>:</u><u> </u><u>Count</u><u> </u><u>The</u><u> </u><u>Area</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>shape</u>

8 0

2 years ago

Ms. Kincaid keeps a supply of dimes and quarters in her car to pay for highway tolls. A week’s supply of toll coins contains 5 m

Alecsey [184]

Answer: (A) 10

<u>Step-by-step explanation:</u>

<u>Value</u> <u>Quantity</u> = <u>TOTAL Value</u>

dimes: .10 Q + 5 = .10(Q = 5)

quarters: .25 Q = .25Q

Dimes + Quarters = $4.00

.10(Q + 5) + .25Q = 4.00

.10Q + .50 + .25Q = 4.00

.50 + .35Q = 4.00

.35Q = 3.50

Q = 10

Quarters = 10

Dimes = Q + 5

= 10 + 5

= 15

8 0

3 years ago

Read 2 more answers

12.8° to the nearest degree

Ivenika [448]

12.8=13°

Hope this helps!

Thanks!

-Charlie

3 0

2 years ago

Read 2 more answers

a fair coin is tossed three times in succession.the sample space is shown,where H represents avhaed and T represents a tail. Fin

hodyreva [135]

Because the probability of getting heads is 1/2, in a scenario in which it is tossed 3 times, the probability of getting exactly one head is 1/3.

5 0

3 years ago