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4 years ago

PLEASE HELP, BEEN STUCK FOR AN HOUR!!

Mathematics

1 answer:

pashok25 [27]4 years ago

6 0

Answer: C.

Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.

Step-by-step explanation:

Let first work out g(x)

When x = 0

g(x) = 75

When x = 1

g(x) = 75( 1 - 50%)

g(x) = 75(0.5) = 37.5

Which is less than 43

With this, we can conclude that:

Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.

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The following values of (x) and f(y) are given. Find the best value of (dy/dx) at

velikii [3]

Answer:

dy/dx at x=6 is 0.334

Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

$\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334$

4 0

3 years ago

If you roll two fair dice repeatedly, what is the probability that you will get a sum of 4 before you get a sum of 5 ? (a) (b) (

AlexFokin [52]

Answer:

The probability that you will get a sum of 4 before you get a sum of 5 is $\frac{1}{12}$

Step-by-step explanation:

Given : If you roll two fair dice repeatedly.

To find : What is the probability that you will get a sum of 4 before you get a sum of 5 ?

Solution :

When two dice are rolled the outcomes are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Total number of outcomes = 36

Favorable outcome get a sum of 4 before you get a sum of 5 is (1,3) ,(2,2) and (3,1) = 3

The probability that you will get a sum of 4 before you get a sum of 5 is

$P=\frac{3}{36}$

$P=\frac{1}{12}$

Therefore, The probability that you will get a sum of 4 before you get a sum of 5 is $\frac{1}{12}$

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3 years ago

Describe the relationship between the<br> values of the digits in the number

Lelechka [254]

Answer:

Step-by-step explanation:

The relationship between the values of the digits in the number 9,999,999 is that, the value of each digit is 10 times of the value of the ...

8 0

3 years ago

Pls help me with number

vredina [299]

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

$\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\$

$\sf \text{Number of women =$\dfrac{1}{3}x$}$

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

$\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\$

$x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\ \dfrac{5}{12}x=100\\$

$\sf x = 100*\dfrac{12}{5}\\$

x = 20 * 12

x = 240

<h3> Total number of people = 240</h3>

7 0

2 years ago

Robin wants to find out the number of salamanders by a pond near her house. She catches 45 of them, puts a leg band on each sala

Verdich [7]

Given:
1st week: caught 45 salamanders and put leg bands on them
2nd week: caught 50 salamanders and 3 have leg bands

3/50 = 0.06 of the salamander population have leg bands.

45 / 0.06 = 750 total number of salamanders

<span>45/750 = 0.06 or 6% </span>

The reasonable estimate of the number of salamanders by the pond is 750 salamanders.

8 0

3 years ago