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sergey [27]
3 years ago
7

the names of nine boys and two girls are in a hat. what is the probability of first drawing a girls name and then a boys name fr

om the hat
Mathematics
2 answers:
lara [203]3 years ago
5 0
18/121 shoul be the answer
krok68 [10]3 years ago
4 0
<h2>Answer:</h2>

The  probability of first drawing a girls name and then a boys name from the hat is:

                \dfrac{9}{55}

<h2>Step-by-step explanation:</h2>

It is given that:

The names of nine boys and two girls are in a hat.

This means that the total number of names in the hat are: 9+2=11.

Also, the probability of first drawing a girls name and then a boys name from the hat is given by:

Probability of drawing a girl name×Probability of drawing a boy name.

Also, the drawing of names is done without replacement.

Hence, we get probability as:

=\dfrac{2}{11}\times \dfrac{9}{10}\\\\=\dfrac{9}{55}

The probability is:  \dfrac{9}{55}

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Vinvika [58]
Sample space ={13 H + 13 D + 13 S + 13 C} = 52 cards

P(getting one heart) = 13/52 = 1/4
P( getting NO heart) = 1-1/4 = 3/4 = 0.75
4 0
3 years ago
The point B is at the centre of the circle. The pints P and Q are in the circumference of the circle. Calculate the area of the
Cerrena [4.2K]

Answer:

Area of the sector = 57.26295cm²

Step-by-step explanation:

Radius of the circle=9cm

π= 3.142

Angle at B= 81° ( opposite angle of a quadrilateral)

Area of the sector = πr² * 81/360

Area of the sector = 3.142 * 9*9 * 0.225

Area of the sector= 3.142*81*0.225

Area of the sector = 57.26295cm²

4 0
3 years ago
If the parallel sides of a trapezoid are contained by the lines and , find the equation of the line that contains the midsegment
Fittoniya [83]

Answer:

Equation of midsegment line: y = (-1/4)x + 2.

Step-by-step explanation:

If the parallel sides of a trapezoid are contained by the lines:-

y = (-1/4)x +5 and y = (-1/4)x - 1

Midsegment of any trapezoid is the line segment

1. that is parallel to pair of parallel side of trapezoid and

2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.

It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.

So y = mx + b

where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.

Hence, the equation of midsegment would be y = (-1/4)x + 2.

6 0
3 years ago
Marking brainliest!!<br><br> What should I put for the second question? I am confused. HELPP
Levart [38]

if other experts state the same thing in their own paper or document.

8 0
3 years ago
Read 2 more answers
The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed be
nadya68 [22]

Answer:

a= 13.15 years

b= -0.62 years/$

Step-by-step explanation:

Hello!

Given the variables

Y: Age of a used car. (years)

X: Price of a sold used car. ($000)

The linear regression model is:

E(Y)= α + βXi

The estimated equation is:

^Y= a + bXi

a= (\frac{sumY_i}{n} ) - b(\frac{sumX_i}{n} )

a= 13.15 years

b= \frac{(sumX_iY_i-\frac{(sumX_i)(sumY_i)}{n} }{sumX_i^2-(\frac{(sumX_i)^2}{n} )}

b= -0.62 years/$

Then ^Y= 13.15 - 0.62Xi

Mean Y= 8.92

Mean X= 6.91

∑Y= 107

∑Y²=1009

∑X=82.90

∑X²=615.29

∑XY=712.9

Hope it helps!

5 0
3 years ago
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