Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have the given composition. (Enter your answer to four decimal places.) At least one girl

Answer:

2.5 * 10^-27.

Step-by-step explanation:

(2 x 10^13)^-2

= 2^-2 x 10^-26

= 1/2^2 x 10^-26

= 0.25 x 10^-26

= 2.5 * 10^-27.

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▹ Answer

2.5 x 10⁻²⁷

▹ Step-by-Step Explanation

(2 x 10¹³)⁻²

2⁻²(10¹³)⁻²

0.25 x (10¹³)⁻²

0.25 x 10⁻²⁶

2.5 x 10⁻²⁷

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

7m(3m^6 - m^4 + 7)

Step-by-step explanation:

This is a factorization question

All we want to do here is to factor out 7m from each term of the polynomial

This becomes;

21m^7 -7m^5 + 49m = 7m (3m^6 - m^4 + 7)

Answer:

A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface

Step-by-step explanation:

Answer:

Part A

The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed  being equal to 0.3822

Part B:

Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B

Step-by-step explanation:

The p-value

The test statistic is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

[tex]\hat p_1[/tex] = 35/220 = 7/44

[tex]\hat p_2[/tex] = 39/230

[tex]\hat p[/tex] = 74/220 = 37/110

We get our test statistic z = -0.2996381

Part A

The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed  being equal to 0.3822

Part B:

Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B.

Answer:

4.98

Step-by-step explanation:

Answer:

4.98

Step-by-step explanation:

Answer:

No, because the y-intercepts of lines g and h are different.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

its not 14 feet

Step-by-step explanation:

Answer:

y=2x-3, x=23.5

Step-by-step explanation:

This is what i got.

The rectangular form of equation is y= x² /9 - 10x/9 - 34/9.

An equation made up of variables like x and y that can be plotted on a standard Cartesian plane is referred to as a rectangular equation or an equation in rectangular form.

Given:

x=3t+5.....(1)

y=t²-1.....(2)

From equation (1), we get

t= 1/3(x-5)

Now, put t in equation (2)

y= 1/9 (x- 5)² - 1

y = 1/9 x² - 25/9 -10x/ 9 - 1

y= x² /9 - 10x/9 - 34/9

Learn more about rectangular form here:

https://brainly.com/question/10345510

#SPJ2

Answer:

45 degrees

Step-by-step explanation:

corresponding angles have are equal

Answer:

4.29x + 6.99y ≤ 88

Step-by-step explanation:

x represents the number of pounds of chicken he can buy and y represents the number of pounds of ham he can buy. Multiplying the price per pound by the number of pounds he will buy will give you the amount of money he will spend and here he has only $88. Which means the amount of money he will spend should be less than or equal to $88 as shown in the inequality above.

Hope this helps.

Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope so the equation would be y = 3x + b

plugging in the points you get -2 = 3(5) + b

this is -17 = b

Answer:

x=301

Step-by-step explanation:

first thing you must know the sum of angle

for this question the polygon has 6 sides (if you connect B and D)

so based on formula (n-2)×180; n is number of side

(6-2)×180=720

so the sum of angle in the polygon is 720

to find x you just need to subtract 720 with all the angle given in the diagram. (and don't forget the 90 degree that made from connected line B and D)

x=720-118-87-34-90-90

x=301

Answer:

18

Step-by-step explanation:

x² = 16² + 30² - 2(16)(30)cos 30°

x² = 256 + 900 - 960(0.866)

x² = 1156 - 831.36

x² = 324.64

x = 18.02

Approx. 18

Please mark my answer as brainliest

Answer:

18.01

Step-by-step explanation:

c^2=a^2+b^2-2abcos 30=

   = 16^2+30^2-2(16)(30)(cos30)             cos30=0.866

   = 1156-480√3 = 324.6156

c=√324.6156=18.01

Answer:

Total no. of cases = 6954

No. of cases decided = 82

Percentage decided = (82/6954)x100 = 1.17%

Answer:

1.18%

Step-by-step explanation:

A percentage can be found by dividing the part by the whole. then multiplying by 100.

(part/whole) * 100

In this problem, the part is the cases decided by the Supreme Court. The whole is the total number of cases filed.

(cases decided / cases filed) *100

There were 82 cases decided by the Supreme Court, out of a total of 6,954 cases filed.

(82/6954) *100

First, solve the parentheses and divide.

0.0117917745* 100

Multiply

1.17917745 %

Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 up to an 8 in the hundredth place.

1.18 %

About 1.18% of the cases filed were decided by the Supreme Court.

Answer:

Step-by-step explanation:

If the kilowatt-hours stay proportional to the total bill, then you are using more electricity. If the bill goes up a lot more than the kilowatt-hours, then you are on some sort of "rate plan" that punishes peak usage

Answer:

Total cans = 17 (4)

Step-by-step explanation:

If Max has 8 boxes and gives half of the boxes to his teacher, then the teacher has 4 boxes.

Now, the teacher has 4 boxes but each box has 17 cans inside. To represent how many cans the teacher has, we will need to multiply the number of boxes by the number of cans each box has,

Then, the Total number of cans = [tex]17(4)[/tex] = 68.

Thus, the expression that represents the total number of cans in all the boxes that the teacher has would be: Total cans = 17 (4)

Answer:

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Step-by-step explanation:

We are given the following points:

L(-5,15)

M(-12,-36) and

N(21,-11)

To find:

Reflection of the points across the y axis.

Solution:

To find the reflection of any point across y axis, we need to consider the y axis as the mirror and we need to find the location of the image in this manner.

Property of the image:

The image of point and actual point will be equidistant from the y axis.

If we find mirror image across y axis, there is change in only x coordinate value. There is no change in y axis value.

Let us take the first point:

L(-5,15)

x coordinate value -5 is on the left side of y axis.

The reflection will be 5 units on the right side of x axis

[tex]\therefore[/tex] L' (5, 15)

Let us take the second point:

M(-12,-36)

x coordinate value -12 is on the left side of y axis.

The reflection will be 12 units on the right side of x axis

[tex]\therefore[/tex] M'(12,-36)

Let us take the third point:

N(21,-11)

x coordinate value 21 is on the right side of y axis.

The reflection will be 21 units on the left side of x axis

[tex]\therefore[/tex] N'(-21,-11)

Please have a look at the attached figure for the points and their reflection.

Reflection triangles is shown as dotted line.

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Answer:

16

Step-by-step explanation:

61+3=64

16*4=64

64=64

Answer:

Step-by-step explanation:

V=lwh=4*5*10=200 cubic inch or in^3

Answer:

1626.02

Step-by-step explanation:

1 gram is 0.001 kilograms. The bag weighs 2 kilograms and each popcorn is 1.23 grams. 2 kilograms weigh 2000 grams.

Answer:

d: 2.6179, e: 4.1887, f: 5.2359 all in rad

Step-by-step explanation:

(d): 150°degrees

150° × π / 180°

= 0.83333333333π rad

= 2.6179 rad

(e):240°degrees

240° × π / 180°

= 1.3333333333π rad

= 4.1887 rad

(f): 300°degrees

300° × π / 180°

= 1.6666666667π rad

= 5.2359 rad

If all my stuff is correct please give me an 5/5 and a thanks. :)

Answer:2.9

3

Step-by-step explanation:

Answer:

The range is 8.

Step-by-step explanation:

7, 1, 9, 3, 5

The range = Largest no. - Smallest no.

9 - 1 = 8

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]7 \: \: \: 1 \: \: \: 9 \: \: \: 3 \: \: \: 5[/tex]

Largest value in this set = 9

smallest value in this set = 1

Range = largest value - smallest value

= 9 - 1

= 8

Answer:

Step-by-step explanation:

x +2y = 8  ----- (I)

 x = 8 - 2y

x - 3y = 6 -------(II)

Substitute x = 8 - 2y in equation (II)

8 - 2y - 3y = 6    {add like terms}

8 - 5y = 6

Subtract 8 form both sides

 -5y = 6- 8

 -5y = -2

Divide both sides by -5

 -5y/-5 = -2/-5

y = 2/5

Substitute y = 2/5 in equation (I)

[tex]x+2*\frac{2}{5}=8\\\\x+\frac{4}{5}=8\\\\x=8- \frac{4}{5}\\\\x=\frac{8*5}{1*5}-\frac{4}{5}\\\\x=\frac{40}{5}-\frac{4}{5}\\\\x=\frac{36}{5}[/tex]

x = 36/5

Answer:

7·(s + d) - 25

Step-by-step explanation:

if each plant cost $7

and there are two plants so its 7 times (s+d)

and then the discount so its -25

hope this helps

Answer:

[tex]\boxed{Area = 32.5 mm^2}[/tex]

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where base = 13 mm, Height = 5 mm

Area = 1/2 (13)(5)

=> Area = 1/2 (65)

=> Area = 32.5 mm^2

Answer:

c. 32.5 mm²

Step-by-step explanation:

The equation for the area of a triangle is a=1/2bh. In this equation you basically multiply the length of the base of the triangle times the height of the triangle and divide that by 2 to get the area. So, you would take 13, the base, and multiply it by 5, the height to get 65. Then, you would divide that by 2 to get 32.5 mm².

Answer:

[tex]\boxed{\mathrm{B}}[/tex]

Step-by-step explanation:

The domain is the set of all possible values for x (input).

There are no restrictions on x.

The domain is all real numbers.

The range is the set of possible values for y (output).

Let x = 0.

[tex]F(0)=5-(0)^2[/tex]

[tex]F(0)=5[/tex]

The maximum value of y is 5.

Let x = 50

[tex]F(50)=5-(50)^2[/tex]

[tex]F(50)=5-2500[/tex]

[tex]F(50)=-2495[/tex]

The minimun value of y is [tex]- \infty[/tex] from observation.

The values of x can be a negative number.

[tex]F(-5)=5-(-5)^2[/tex]

[tex]F(-5)=5-25[/tex]

[tex]F(-5)=-20[/tex]

The range of the function is less than or equal to 5 and greater than or equal to [tex]- \infty[/tex].

Answer:

The answer is below

Step-by-step explanation:

2(ax-by)+(a+4b)=0                   .              .               .         1)

2(bx+ay)+(b-4a) = 0              .                 .                 .         2)

Equation 1 gives:

2ax - 2by + a + 4b = 0          .                .             .      1)

Equation 2 gives:

2bx + 2ay + b - 4a    =    0     .              .                   .     1)

Multiplying equation 1 by a and equation 2 by b :

2a²x - 2aby + a² + 4ab = 0

2b²x + 2aby + b² - 4ab = 0

Adding together:

2a²x  +  2b²x + a² + b² = 0

2x (a² + b²) = -(a² + b²)

2x = -1

x = -1/2

Multiplying equation 1 by b and equation 2 by a:

2abx · 2b²y + ab + 4b² = 0

2abx + 2a²y + ab - 4a² = 0

Subtracting:

2y(a² + b²) - 4(a² + b²) = 0

2y(a² + b²) = 4(a² + b²)

2y = 4

y = 2