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Ghella [55]
2 years ago
5

It is very common for television series to draw a large audience for special events of for cliff-hanging story lines. suppose th

at on one of these occasions, the special show drew viewers from 38.2% of all us tv households. suppose that three tv households are randomly selected. what is the probability that all three households viewed this special show?
Mathematics
1 answer:
Ghella [55]2 years ago
4 0
<span>The given case satisfies the condition of Binomial Experiment so we can use the Binomial Probability to answer this question.

Conditions for a Binomial Experiment are:
1) The sample is simple random sample
2) The probability of success is constant
3) The trials are independent
4) There are a fixed number of trials

Probability of success on a single trial = p = 0.382
Number of trials = n = 3
Number of successful trials= x = 3


The formula of the Binomial probability is:
P( 3 out of 3 success) = </span>3C_{3}  p^{3} (1-p)^{3-3}
<span>
Using the values, we get:

P (3 out of 3) = 0.557 = 5.57%

Thus the probability that all three households viewed this special show is 5.57%
</span><span>
</span>
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$53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. how much is in the accou
ella [17]

Answer:

$57,369

Step-by-step explanation:

We have been given that an amount of $53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. We are asked to find the amount in the account after 4 years.

To solve our given problem we will use compound interest formula.\

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given rate in decimal form.

2\%=\frac{2}{100}=0.02

Upon substituting our given values in compound interest formula we will get,

A=\$53,000(1+\frac{0.02}{1})^{1*4}

A=\$53,000(1+0.02)^{4}

A=\$53,000(1.02)^{4}

A=\$53,000*1.08243216

A=\$57368.90448\approx \$57,369

Therefore, an amount of $57,369 will be in the account after 4 years.

3 0
2 years ago
A 2-column table with 6 rows. The first column is labeled miles driven with entries 27, 65, 83, 109, 142, 175. The second column
Helen [10]

Answer:

1) The linear regression model is y = -0.0348·x + 13.989

2) The correlation coefficient is -0.0725

3) The strength of the model is strong - association

Step-by-step explanation:

1)

                         X            Y          XY       X²

                         27            13           351          729

                         65             12          780         4225

                         83              11          913         6889

                         109            10          1090      11881

                         142            9            1278     20164

                         175              8           1400      30625

                ∑      601              63 5812 74513

From y = ax + b, we have

a = \frac{n\sum xy - \sum x\sum y }{n\sum x^{2}-\left (\sum x  \right )^{2}} = \frac{6 \times 5812  - 601 \times 63}{6 \times 74513-601^{2}} = - 0.0348

b = 1/n(∑y -a∑x) = 1/6(63 - (0.0348)×601) = 13.989

Therefore, the linear regression model is y = -0.0348·x + 13.989

2)

r = \frac{n\sum xy - \sum x\sum y }{\sqrt{[n\sum x^{2}-\left (\sum x  \right )^{2}] [n\sum y^{2}-\left (\sum y  \right )^{2}]}}  = \frac{6 \times 5812  - 601 \times 63}{\sqrt{[6 \times 74513-601^{2}] [6  \times 3969 - 63^2]} } = - 0.0725

3) The strength is - association.

5 0
2 years ago
Read 2 more answers
1+4=5 2+5=12 3+6=21 8+11=?
satela [25.4K]
That whole eqation is 40
6 0
2 years ago
Timothy is putting fertilizer on a field after planting some crops. The directions on the barrel state to use 0.75 quarts for ea
mote1985 [20]

Answer

Find out the how much fertilizer will Timothy need for two fields, one that is 22.5 acres and one that is 38.25 acres .

To proof

As given

Timothy is putting fertilizer on a field after planting some crops

The directions on the barrel state to use 0.75 quarts for each acre of land.

fertilizer will Timothy need for 22.5 acres = 22.5 × 0.75

                                                                     = 16.875 quarts

fertilizer will Timothy need for 38.25 acres = 38.25×0.75

                                                                       = 28.6875 quarts

total fetilizer Timothy need for two fields = 16.875 +  28.6875

                                                                   = 45.5625

                                                                   = 45.6 ( approx )quarts

Therefore the total  fertilizer will Timothy need for two fields be  45.6 ( approx )quarts .

Hence proved

                                               

6 0
2 years ago
Sam and Carlos are bowling with plastic pins in Sam's living room. Remarkably, Sam knocks down 8 pins on every bowl, and Carlos
Sauron [17]

8 = 2*2*2

9=3*3

We are finding the least common multiple

LCM = 2*2*2*3*3

LCM = 72

Sam and Carlos have each knocked down 72 pins

8 0
2 years ago
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