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k0ka [10]
3 years ago
12

3. The number of children in 10 families of a locality are:

Mathematics
2 answers:
Anastaziya [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Mean = 2+4+3+4+2+0+3+5+1+6/ 10

= 30/10 = 3

Marat540 [252]3 years ago
4 0

Answer:

1 or 2 (1.45 to be exact)

Step-by-step explanation:

Mean is always the numbers added together, divided by the amount of numbers.

2+4+3+4+2+0+3+4+1+6=29

29 divided by 10 is 1.45

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Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a refer
Leno4ka [110]

Answer:

P(X ≤ 94) =  0.09012

From what we observe; There is a probability  of less than 94 people who voted for the referendum is 0.09012

Comment:

The result is unusual because the probability that p is equal to or more extreme than the sample proportion is greater than 5%. Thus, it is not unusual for a wrong call to be made in an election if the exit polling alone is considered.

Step-by-step explanation:

From the information given :

An exit poll of 200 voters finds that 94 voted for the referendum.

How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.52​? Based on your​ result, comment on the dangers of using exit polling to call elections.

This implies that ;

the Sample size n = 200

the probability p = 0.52

Let X be the random variable

So; the Binomial expression can be represented as:

X \sim Binomial ( n = 200, p = 0.52)

Mean \mu = np

Mean \mu  = 200 × 0.52

Mean \mu  = 104

The standard deviation \sigma = \sqrt{np(1-p)}

The standard deviation \sigma = \sqrt{200 \times 0.52(1-0.52)}

The standard deviation \sigma = \sqrt{200 \times 0.52(0.48)}

The standard deviation \sigma = \sqrt{49.92}

The standard deviation \sigma = 7.065

However;

P(X ≤ 94) because the discrete distribution by the continuous normal distribution values lies in the region of 93.5 and 94.5 .

The less than or equal to sign therefore relates to the continuous normal distribution of X < 94.5

Now;

x = 94.5

Therefore;

z = \dfrac{x- \mu}{\sigma}

z = \dfrac{94.5 - 104}{7.065}

z = \dfrac{-9.5}{7.065}

z = −1.345

P(X< 94.5) = P(Z < - 1.345)

From the z- table

P(X ≤ 94) =  0.09012

From what we observe; There is a probability  of less than 94 people who voted for the referendum is 0.09012

Comment:

The result is unusual because the probability that p is equal to or more extreme than the sample proportion is greater than 5%. Thus, it is not unusual for a wrong call to be made in an election if the exit polling alone is considered.

8 0
3 years ago
Mr. Carson traveled from his house in Pennsylvania to a ski resort in upstate New York. He drove 4.25 hours at a rate of 54.6 mi
Sav [38]

Answer:

ESTO ES INCORRECTO

Step-by-step explanation:

CON LA ECUACIÓN DE GALILEO GALILEI TENEMOS:

<em>x</em> = 54.6 mph( 4.25 h) = 232 milles

5 0
3 years ago
PLEASE HELP!!
Inessa05 [86]

Answer:

a.) The dilation is a contraction

b.) The scale factor is \frac{6}{8}  = \frac{3}{4}  = 0.75 which is less than 1

c.) \frac{TA}{TR} = \frac{3.33}{TR} = 0.75 \hspace{0.2cm}   \Rightarrow \hspace{0.2cm}  TR  = \frac{3.3}{0.75}  \hspace{0.2cm}   \Rightarrow \hspace{0.2cm}  TR = 4.4 cm.

  \therefore TR = TA + AR  \hspace{0.2cm}   \Rightarrow \hspace{0.2cm}  AR = 4.4 - 3.3 = 1.1 cm

d.)\frac{TN}{TI} = \frac{TN}{TN + 1.6} = 0.75 \hspace{0.1cm}   \Rightarrow \hspace{0.1cm}  1.33TN  = TN + 1.6 \hspace{0.1cm}   \Rightarrow \hspace{0.1cm}  0.33TN = 1.6 cm. \hspace{0.1cm}

   Therefore TN = 4.8 cm

Step-by-step explanation:

a.) The dilation is a contraction

b.) The scale factor is \frac{6}{8}  = \frac{3}{4}  = 0.75 which is less than 1

c.) \frac{TA}{TR} = \frac{3.33}{TR} = 0.75 \hspace{0.2cm}   \Rightarrow \hspace{0.2cm}  TR  = \frac{3.3}{0.75}  \hspace{0.2cm}   \Rightarrow \hspace{0.2cm}  TR = 4.4 cm.

  \therefore TR = TA + AR  \hspace{0.2cm}   \Rightarrow \hspace{0.2cm}  AR = 4.4 - 3.3 = 1.1 cm

d.)\frac{TN}{TI} = \frac{TN}{TN + 1.6} = 0.75 \hspace{0.1cm}   \Rightarrow \hspace{0.1cm}  1.33TN  = TN + 1.6 \hspace{0.1cm}   \Rightarrow \hspace{0.1cm}  0.33TN = 1.6 cm. \hspace{0.1cm}

   Therefore TN = 4.8 cm

5 0
3 years ago
PLEASE HELP TIMEDD!!
kati45 [8]
Answer: D) X=1.79 to X=3
6 0
3 years ago
Read 2 more answers
Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home
ryzh [129]

Answer:

a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.

Step-by-step explanation:

Given

y = 70h + 100

Required

Interpret

An equation has the form

y = mx + b

Where

m = rate

b = y\ intercept

By comparison with y = 70h + 100

m = 70

i.e. He travels at 70 miles per hour

And

b = 100

This represents the initial distance as at when he started travelling (12 noon)

i.e. At noon, he is 100 miles away from home

7 0
2 years ago
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