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user100 [1]
3 years ago
11

According to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library. If 10

04 people was polled, about how many were in favor of the expansion?
Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

Some 224 people were in favor of the expansion.

Step-by-step explanation:

Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:

1/4 = 0.25

100 = 1004

22.25 = X

1004 x 22.25 / 100 = X

223.39 = X

Thus, some 224 people were in favor of the expansion.

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A certain control heating process requires that the temperature be raised from − 23 ∘ C at the rate of 4 ∘ C every hour . Find t
Harrizon [31]

Answer:

Temperature after 12 hours = 25°C

Step-by-step explanation:

Given:

Current tempreture = -23°C

Tempreture incresing rate = 4°C per hour

Total time = 12 hour

Find:

Temperature after 12 hours

Computation:

Temperature after 12 hours = Current tempreture + (Tempreture incresing rate)(Total time)

Temperature after 12 hours = -23 + (4)(12)

Temperature after 12 hours = -23 + 48

Temperature after 12 hours = 25°C

5 0
3 years ago
I’m confused, please help
kodGreya [7K]

Answer: (a)

Step-by-step explanation:

Given

g(x)=x^2

Clearly, f(x) is obtained by shifting g(x)  3 units down and multiplying it by a certain factor to amplify it.

Checking the option which is 3 units below and multiplying by a factor

option (a) is meeting both the cirterias.

7 0
2 years ago
What is the value of the equation -2/3x + 9 = 4/3 x -3?​
MArishka [77]

Answer:

x = 6

Step-by-step explanation:

\frac{-2}{3}x+9=\frac{4}{3}x-3\\\\\frac{-2}{3}x-\frac{4}{3}=-3-9\\\\\frac{-2-4}{3}x= - 12\\\\\frac{-6}{3}x = -12\\\\ -2x  -12\\\\x = \frac{-12}{-2}\\\\x = 6

3 0
3 years ago
A sample of 100 cars driving on a freeway during a morning commute was drawn, and the number of occupants in each car was record
makkiz [27]

Answer:

E(X)=1*0.74 +2*0.1 +3*0.11+ 4*0.03 +5*0.02=1.49  

Var(X)=E(X^2)-[E(X)]^2 =3.11-(1.49)^2 =0.8899  

Sd(X)=\sqrt{Var(X)}=\sqrt{0.8899}=0.943  

Step-by-step explanation:

For this case we have the following data given:

X      1    2    3    4    5

F     74   10  11    3    2

The total number of values are 100, so then we can find the empirical probability dividing the frequency by 100 and we got the followin distribution:

X          1          2        3         4          5

P(X)     0.74   0.10   0.11    0.03    0.02

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".  

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).  

And the standard deviation of a random variable X is just the square root of the variance.  

Solution to the problem

In order to calculate the expected value we can use the following formula:  

E(X)=\sum_{i=1}^n X_i P(X_i)  

And if we use the values obtained we got:  

E(X)=1*0.74 +2*0.1 +3*0.11+ 4*0.03 +5*0.02=1.49  

In order to find the standard deviation we need to find first the second moment, given by :  

E(X^2)=\sum_{i=1}^n X^2_i P(X_i)  

And using the formula we got:  

E(X^2)=1^2 *0.74 +2^2 *0.1 +3^2 *0.11 +4^2 0.03 +5^2 *0.02=3.11  

Then we can find the variance with the following formula:  

Var(X)=E(X^2)-[E(X)]^2 =3.11-(1.49)^2 =0.8899  

And then the standard deviation would be given by:  

Sd(X)=\sqrt{Var(X)}=\sqrt{0.8899}=0.943  

7 0
3 years ago
Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.) x P(x) 7 0.10
Alex777 [14]

Answer:

14.2, 16.96

Step-by-step explanation:

given is a probability distribution of X

X is discrete taking values as 7, 11, 15 and 19

X          7            11        15        19          total

p           0.10     0.35    0.20   0.35          1

x*p         0.7     3.85     3.0     6.65       14.20

x^2*p     4.9     42.35   45      126.35 218 .60

Hence mean = sum of prob (x) = 14.20

E(x^2) =218.60

Var(x) = E(x^2)-{E(x)}^2\\= 218.60-14.20^2\\= 16.96

5 0
3 years ago
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