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dlinn [17]
3 years ago
14

Nam has a bag of 8 chips numbered 1 to 8. He will perform an experiment to model the theoretical probability of pulling a chip w

ith the number 6.
Select from the drop-down menus to correctly complete the sentences.
Nam should pull a chip and replace it after each turn
A. as many times as possible
B. 8 times

, and then divide the number of times 6 occurs by
A. 8
B. the number of trials

. After many trials, the experimental probability will be close to the theoretical probability of
A. 1/8
B. 2/3
C. 1/6
.
Mathematics
2 answers:
Radda [10]3 years ago
8 0
B is the correct answer I believe
rosijanka [135]3 years ago
6 0

Answer:

1. A

2. B

3. A

Step-by-step explanation:

He should conduct the experiment as many times as possible, more the better estimate can be obtained.

Record the no. of 6's and divide the no. of trials to get an estimate of the probability of 6

After many trials, the experimental probability would get closer and closer to the theoretical probability which is 1/8

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What conclusions can be made about the amount of money in each account if f represents Molly's account and g represents her brot
Nat2105 [25]

Answer:

(b) is true

Step-by-step explanation:

Given

Molly

a = 500 --- starting balance

m = 10 --- monthly rate

Her brother

a = 100 ---- starting balance

r = 10\% --- annual rate

Required

Determine which option is true

First, we calculate her brother's function.

The function is an exponential function calculated as:

y = ab^x

Where b = 1 + r

So, we have:

y = ab^x

y = 100 *(1 + 10\%) ^x

y = 100 *(1 + 0.10) ^x

y = 100 *(1.10) ^x

Hence:

g(x) = 100 *(1.10) ^x

Next, we calculate Molly's function (a linear function)

The monthly function is:

y = mx + a

So, we have:

y = 10x + 500

Annually, the function will be:

y = 10x*12 + 500

y = 120x + 500

So, we have:

f(x) = 120x + 500

At this point, we have:

f(x) = 120x + 500 ---- Molly

g(x) = 100 *(1.10) ^x ---- Her brother

<u>Next, we test each option</u>

(a): Molly's account will have a faster rate of change over [32,40]

We calculated Molly's function to be:

y = 120x + 500

The slope of a linear function with the form: y = mx + b is m

By comparison:

m = 120

Since Molly's account is a linear function, the rate of change over any interval will always be the same; i.e.

m = 120

For his brother:

Rate of change is calculated using:

m = \frac{g(b) - g(a)}{b - a}

m = \frac{g(40) - g(32)}{40 - 32}

m = \frac{g(40) - g(32)}{8}

Calculate g(40) and g(32)

g(x) = 100 *(1.10) ^x

g(40) = 100 * 1.10^{40} =4526

g(32) = 100 * 1.10^{32} = 2111

So, we have:

m = \frac{4526 - 2111}{8}

m = \frac{2415}{8}

m = 302

By comparison: 302 > 120

Hence, her brother's account has a faster rate over [32,40]

(a) is false

(b): Molly's account will have a slower rate of change over [24,30]

m = 120 --- Molly's rate of change

For his brother:

m = \frac{g(b) - g(a)}{b - a}

m = \frac{g(30) - g(24)}{30 - 24}

m = \frac{g(30) - g(24)}{6}

Calculate g(30) and g(24)

g(x) = 100 *(1.10) ^x

g(40) = 100 * 1.10^{30} =1745

g(32) = 100 * 1.10^{24} = 985

So, we have:

m = \frac{g(30) - g(24)}{6}

m = \frac{1745 - 985}{6}

m = \frac{760}{6}

m = 127

By comparison: 127 > 120

Hence, Molly's account has a slower rate over [24,30]

(b) is false

(c): Molly's account will have a slower rate of change over [0,4]

m = 120 --- Molly's rate of change

For his brother:

m = \frac{g(b) - g(a)}{b - a}

m = \frac{g(4) - g(0)}{4 - 0}

m = \frac{g(4) - g(0)}{4}

Calculate g(4) and g(0)

g(x) = 100 *(1.10) ^x

g(4) = 100 * 1.10^4 =146

g(0) = 100 * 1.10^{0} = 100

So, we have:

m = \frac{g(4) - g(0)}{4}

m = \frac{146 - 100}{4}

m = \frac{46}{4}

m = 11.5

By comparison: 120>11.5

Hence, Molly's account has a faster rate over [0,4]

(c) is false

4 0
3 years ago
According to the _________ concept, a firm must (1) find out what customers want and provide it, (2) make sure everyone in the o
slamgirl [31]

Answer:

Marketing

Step-by-step explanation:

According to the Marketing Concept, firms must:

  • find out and analyze the needs of their current and potential customers,
  • based on those needs, make it a policy for everyone in the firm to make sure every customer experience is an absolutely positive one,
  • provide goods and services to meet the customers' needs and earn a profit, and
  • outdo the competition in customer service.
6 0
3 years ago
What is the first step in solving quadratic equations by finding square roots? a. give the positive and negative answer c. squar
daser333 [38]

Answer:

C: isolate the x squared by using inverse operations

Step-by-step explanation:

This method of solving quadratic equation is used when there is only x² term and no x term. Thus;

For example, we have a quadratic equation;

x² - 1 = 80

To solve this by square root method, the first step we have to take is to isolate the x² term by inverse operation which is by addition of 1 to both sides to get rid of the -1 on the left side so that x² can be isolated.

4 0
3 years ago
Write an expression for the area of the triangle below.
vfiekz [6]

It should be A= 1/2bh but im not sure why you wrote those extra things. Are we supposed to use them?

7 0
3 years ago
41. Consider the perimeter of the triangle shown. First, find the length of the hypotenuse.
marysya [2.9K]

Use the Pythagorean theorem!

This principle applies to any right triangles.

This states the relationship between the sides that

(7)² + (24)² = x²

All you have to do is simplify at this point.

49 + 576 = x²

625 = x²

√        √

x = 25

You should try to memorize this right triangle. It can be very helpful in fast questionnaires, such as the SAT.

6 0
2 years ago
Read 2 more answers
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