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SCORPION-xisa [38]
3 years ago
9

At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the pro

bability that more than half of these babies are female is closest to? a. 0.61, b. 0.70, c. 0.39, d. 0.47, 0.53 (I will award you the brainiest)
Mathematics
1 answer:
Ber [7]3 years ago
6 0

Answer :

0.53

Step-by-step explanation:

Given the following :

Probability of female = probability of success on a single trial = 0.51

Number of babies = 80

Probability that more than half of the babies are female : p(X >80/2) = P(X > 40)

The problem can be solved using the binomial probability function :

P(X > 40) = [ p(X= 41) + p(X= 42) +.... +p(X= 80)]

In other to save computation time, we can use the binomial probability calculator

Hence ; P(X > 40) = 0.527 = 0.53

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sattari [20]

Answer:

Step-by-step explanation:

( x_{1} , y_{1} )

( x_{2} , y_{2} )

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

parallel lines have the same slopes , perpendicular lines have slope which are opposite reciprocals.

~~~~~~~~~~~~~~~

A( 3 , 5 )

B( - 2 , 7 )

m_{AB} = \frac{7-5}{-2-3} = - \frac{2}{5}

C( 10 , 5 )

D( 6 , 15 )

m_{CD} = \frac{15-5}{6-10} = - \frac{5}{2}

The answer is (A) Neither

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2 years ago
Point A is located at (-3, -5)
Vikki [24]

Answer:

(-9, -3)

Step-by-step explanation:

x = -3

y = -5

(x – 6, y + 2)

x = -3 - 6 = -9

y = -5 + 2 = -3

(-9, -3)

8 0
3 years ago
Name the property used to make the conclusion. If x+ 3 = 17, then x = 14 -
zimovet [89]

Answer:

Subtraction property of inequality

Step-by-step explanation:

Step 1: Definition of Subtraction property

Subtraction property of equality refers to balancing an equation by using the same mathematical operation (minus) on both sides.

Step 2: Relate the definition above with the given question.

It can be seen from the statements in the question that 3 was subtracted from both sides of the initial equation to get:

x + 3 = 17 \\ x + 3 - 3 = 17 - 3 \\  x = 14

6 0
2 years ago
Nobles gave land to the king. True False​
anastassius [24]

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2 years ago
Read 2 more answers
At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with
MatroZZZ [7]

Answer:

a)Slope: \hat \beta_1 =\frac{7625.9}{1248.9}=6.106

Intercept: \hat \beta_o = 157.955 -6.106 (69.686)=-267.548

b) r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"    

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

\sum Y_i =17375 , \sum X_i = 7665.5

Part a

The slope is given by this formula:

\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}

If we replace we got:

\hat \beta_1 =\frac{7625.9}{1248.9}=6.106

We can find the intercept with the following formula

\hat \beta_o = \bar y -\hat \beta_1 \bar x

We can find the average for x and y like this:

\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955

And replacing we got:

\hat \beta_o = 157.955 -6.106 (69.686)=-267.548

Part b

In order to calculate the correlation coefficient we can use this formula:  

r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}  

For our case we have this:  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

So we can find the correlation coefficient replacing like this:

r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

6 0
3 years ago
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