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pantera1 [17]
3 years ago
13

The graph of function f is shown. Function g is represented by the table. Which statement correctly compares the two functions?

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

Answer:

Option (A)

Step-by-step explanation:

Graph of function 'f' represents,

x - intercept of the function 'f' → (1, 0)

y - intercept of the function → (0, 6)

As x-approaches ∞, value of the function approaches (-2)

Points in the given table is for the another function 'g'

x - intercept of the function 'g' → (1, 0) [For x - intercept, y = 0]

y - intercept of the function 'g' → (0, 3) [For y - intercept, x = 0]

As x approaches ∞, value of function 'g' approaches (-1).

Therefore, x - intercepts of both the functions are same but end behavior are different when x → ∞.

Option (A) will be the answer.

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The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.
Gre4nikov [31]

a. Find the probability that an individual distance is greater than 214.30 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (214.30 – 205) / 8.3

z = 1.12

Since we are looking for x > 214.30 cm, we use the right tailed test to find for P at z = 1.12 from the tables:

P = 0.1314

 

b. Find the probability that the mean for 20 randomly selected distances is greater than 202.80 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (202.80 – 205) / 8.3

z = -0.265

Since we are looking for x > 202.80 cm, we use the right tailed test to find for P at z = -0.265 from the tables:

P = 0.6045

 

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

I believe this is because we are given the population standard deviation sigma rather than the sample standard deviation. So we can use the z test.

7 0
3 years ago
Fraction in simplest form
nataly862011 [7]

Answer:

14/15 meters

Step-by-step explanation:

We add each color of fabric to find the total amount of fabric used.

1/3 +3/5

We need to get a common denominator of 15

1/3 *5/5 = 5/15

3/5*3/3 = 9/15

5/15 + 9/15 = 14/15

5 0
3 years ago
Read 2 more answers
A cone has a height of 12 centimeters and a diameter of 10 centimeters. What is its volume?
andriy [413]

Answer:

314 cm³

Step-by-step explanation:

Given ::

Cone height, h = 12 cm

Diameter of cone, d = 10 cm

Hence, radius, r = diameter / 2 = 10/2 = 5cm

The volume of a cone = 1/3 πr²h

V = 1/3 * 3.14 * 5² * 12

V = 3.14 * 25 * 4

V = 314cm³

3 0
3 years ago
What is the end behavior of function f if you are on plato
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Answer:i dont know but plz give brainly

Step-by-step explanation:

8 0
3 years ago
The Ivring Berlin Learning Center would like a possible net profit of $650,000 on its new resource manual it sells to schools. T
vazorg [7]

Answer:

Selling price should be $21 per unit.

Step-by-step explanation:

Cost price of manual = Fixed price + variable cost per package×Number of units sold

= 780000+19.85×1250000 = $25592500

Now we know Learning center wants a profit = $650000

Then profit = sale price - cost price

650000=sale price - 25592500

Sale price = 650000+25592500 = $26242500

This is the sale price of 1250000 units then selling price per unit should be = Total selling price/Number of units sold

= $26242500/1250000 =20.994 or $21

Selling price should be $21 per unit.

3 0
3 years ago
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