The Jones family was one of the first to come to the U.S. They had 9 children. Assuming that the
probability of a child being a girl is .5, find the probability that the Jones family had:
at least 7 girls?
at most 8 girls?

Answers

Answer 1

Answer:

At least 7 girls: 0.5^7 OR 0.0078125

At least 8 girls: 0.5^8 OR 0.00390625


Related Questions

xét tính chẵn lẻ của hàm số : y = tanx + cotx

Answers

Answer:

Step-by-step explanation:

Help me pleasee anyone

Answers

x = -4 is the correct answer

If 81y^2-k=9y^2-(1/2)^2 what is the value of k

Answers

Answer:

k = 1/4

Step-by-step explanation:

81y² - k = (9y)² - (1/2)²

(9y)² - k = (9y)² - (1/2)²

k =   (1/2)² = 1/4

how to find range from a distribution table.​

Answers

Answer:

Range = highest value - lowest value

Explanation:

This is the required formula to find range from a distribution table.

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the given functions, where x is the number of months that each person has owned the phone. Tonya's Phone Leo's Phone f(x) =490(0.88)x x g(x) 0 480 2 360 4 270 phone has the greater initial trade-in value. During the first four months, the trade-in value of Tonya's phone decreases at an average rate the trade-in value of Leo's phone.

Answers

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

[tex]f(x) = 490 * 0.88^x[/tex]

Leo

[tex]x \to g(x)[/tex]

[tex]0 \to 480[/tex]

[tex]2 \to 360[/tex]

[tex]4 \to 470[/tex]

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

[tex]f(x) = 490 * 0.88^x[/tex]

[tex]f(0) = 490 * 0.88^0[/tex]

[tex]f(0) = 490 * 1[/tex]

[tex]f(0) = 490[/tex]

From Leo's table

[tex]g(0) = 480[/tex]

By comparison;

[tex]f(0) > g(0)[/tex]

i.e.

[tex]490 > 480[/tex]

So: Tonya's had the greater initial trade-in value

Solving (b): The phone with lesser rate

An exponential function is:

[tex]y = ab^x[/tex]

Where:

[tex]b \to rate[/tex]

For Tonya

[tex]b = 0.88[/tex]

For Leo, we have:

[tex](x_1,y_1) = (0,480)[/tex]

[tex](x_2,y_2) = (2,360)[/tex]

So, the equation becomes:

[tex]y = ab^x[/tex]

[tex]480 = ab^0[/tex] and [tex]360 = ab^2[/tex]

Solving [tex]480 = ab^0[/tex], we have:

[tex]480 = a * 1[/tex]

[tex]480 = a[/tex]

[tex]a= 480[/tex]

[tex]360 = ab^2[/tex] becomes

[tex]360 = 480 * b^2[/tex]

Divide both sides by 480

[tex]0.75 = b^2[/tex]

Take square roots

[tex]0.87 = b[/tex]

[tex]b=0.87[/tex] -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below.
Combine like terms: –10.9p + 3.9 = –9.18Apply the next steps to solve the equation. What is the solution?

Answers

- 4.6 p - 6.3 p + 3.9 = -9.18

- 10.9 p + 3.9 = - 9.18

- 10.9 p = - 9.18 - 3.9

- 10.9 p = - 13.08

p = ( - 13.08 ) : ( - 10.9 )

Answer:

p = 1.2

Answer:

1.2

Step-by-step explanation:

Just took it :)

SOMEONE PLEASE HELP!

Answers

Answer:

[tex]XY=16.2[/tex]

Step-by-step explanation:

It is given that the two figures are similar. This means that the ratio between the corresponding sides is equal. In essence, a side in the larger figure over its corresponding side in the smaller figure is equal to another side in the larger figure over its corresponding side in the smaller figure. Therefore, one can set up a proportion and solve to find the unknown side.

[tex]\frac{WX}{ST}=\frac{XY}{TU}[/tex]

Substitute,

[tex]\frac{18}{3}=\frac{XY}{2.7}[/tex]

Simplify,

[tex]6=\frac{XY}{2.7}[/tex]

Inverse operations,

[tex]6=\frac{XY}{2.7}[/tex]

[tex]6(2.7)=XY\\\\16.2=XY[/tex]

The initial population of a town is 4200​, and it grows with a doubling time of 10 years. What will the population be in 8 ​years?

Answers

Answer:

The population in 8 years will be of 7313.

Step-by-step explanation:

Population of a town:

The population of a town, after t years, with a doubling time of n years, is given by:

[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]

The initial population of a town is 4200​, and it grows with a doubling time of 10 years.

This means that [tex]P(0) = 4200, n = 10[/tex]

So

[tex]P(t) = 4200(2)^{\frac{t}{10}}[/tex]

What will the population be in 8 ​years?

This is P(8). So

[tex]P(8) = 4200(2)^{\frac{8}{10}} = 4200(2)^{0.8} = 7313[/tex]

The population in 8 years will be of 7313.

the longest side of a triangle is 80cm more than the second and 130cm more than the shortest side and its perimeter is 540cm. find its area

help help

Answers

Answer:

Area of triangle1/2b*h Now you can do

The area of the triangle is 9000 square centimeters

How to determine the area?

Let the sides in order of length be represented as:

x, y and z.

So, we have:

z = 80 + y

z = 130 + x

P = 540

The perimeter is calculated as:

P = x + y + z

So, we have:

x + y + z =540

Substitute z = 130 + x

x + y + 130 + x =540

Evaluate the like terms

2x + y = 410

Substitute z = 130 + x in z = 80 + y

130 + x  = 80 + y

Evaluate the like terms

x - y = -50

So, we have:

2x + y = 410

x - y = -50

Add both equations

3x = 360

Divide by 3

x = 120

Substitute x = 120 in z = 130 + x

z = 130 + 120

z = 250

Substitute z = 250 in z = 80 + y

250 = 80 + y

y = 170

So, we have:

x = 120

y = 170

z = 250

The area is then calculated as:

[tex]Area = \sqrt{s * (s -x) *(s - y) * (s -z)[/tex]

Where

s = P/2 = 540/2

s = 270

So, we have:

[tex]Area = \sqrt{270 * (270 -120) *(270 - 170) * (270 -250)[/tex]

Evaluate

Area = 9000

Hence, the area of the triangle is 9000 square centimeters

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Tìm X
3x2-3x×(x-2)-12=0

Answers

Answer:

[tex]3x^2-3x\left(x-2\right)-12=0[/tex]

[tex]3x^2-3x\left(x-2\right)-12+12=0+12 \longleftarrow (\mathrm{Add\:}12\mathrm{\:to\:both\:sides})[/tex]

[tex]3x^2-3x\left(x-2\right)=12[/tex]

[tex]-3x\left(x-2\right)=-3xx-\left(-3x\right)\cdot \:2[/tex]

[tex]=-3xx+3\cdot \:2x[/tex]

[tex]-3xx+3x^{2}[/tex]

[tex]=3x^{1+1}[/tex]

[tex]=3x^2[/tex]

[tex]3\cdot \:2x=6x[/tex]

[tex]=-3x^2+6x[/tex]

[tex]3x^2-3x^2+6x=12\Longleftarrow Add\:similar\:elements[/tex]

[tex]6x=12[/tex]

[tex]\frac{6x}{6}=\frac{12}{6} \Longleftarrow Divide[/tex]

[tex]x=2[/tex]

✧✧✧✧✧✧✧✧

OAmalOHopeO

✧✧✧✧✧✧✧✧

Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntesis espacio y espacio abrir paréntesis 0 coma espacio raíz cuadrada de 28 cerrar paréntesis espacio ,eje conjugado = 2 raíz cuadrada de 3

Answers

Answer:

[tex]\frac{y^{2}}{25}-\frac{x^{2}}{3}=1[/tex]

Step-by-step explanation:

Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:

centro: (0,0)

focos: [tex](0,-\sqrt{28}),(0,\sqrt{28})[/tex]

eje conjugado = [tex]2\sqrt{3}[/tex]

por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:

[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]

de los focos podemos obtener que:

[tex]c=\sqrt{28}[/tex]

y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:

[tex]b=\sqrt{3}[/tex]

podemos utilizar la siguiente fórmula para obtener a:

[tex]c^{2}-a^{2}=b^{2}[/tex]

si despejamos a en la ecuación obtenemos lo siguiente:

[tex]a=\sqrt{c^{2}-b^{2}}[/tex]

ahora podemos sustituir los valores:

[tex]a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}[/tex]

[tex]a=\sqrt{28-3}[/tex]

[tex]a=\sqrt{25}[/tex]

a=5

así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:

[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]

[tex]\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1[/tex]

[tex]\frac{y^{2}}{25}+\frac{x^{2}}{3}=1[/tex]

si graficamos la hipérbola, queda como en el documento adjunto.

Help Please!!!
Find the volume of the sphere

Answers

Answer:

523.6

Step-by-step explanation:

Not sure how to explain •-•

Hope it helps c:

Answer: use formula pi r^3

3.14 × 5 x 5 x 5 x 4 ÷ 3

Step-by-step explanation:

If m angle ABF = (6x + 26)°, m angle EBF = (2x - 9)° , and m angle ABE = (11x - 31)° , find M angle ABF. ​

Answers

Answer:

122

Step-by-step explanation:

Angle ABE = angle ABF + EBF

11x - 31 = 6x + 26 + 2x - 9 add like terms

11x - 31 = 8x + 17 transfer like terms to the same side of the equation

11x - 8x = 17 + 31 add/subtract like terms

3x = 48 divide both sides by 3

x = 16 now replace x with 16 in the equation

16*6+26 = 122

I need help with this, I can’t figure out the answer…

Answers

The answer is 60cm you got to add all the cm ul

With the steps pls ……………………..

Answers

Answer: $21, 600

Step-by-step explanation:

Given:

Original cost (when the shop owner brought it) = $20,000

Profit amount = 20% of original cost

Discount rate = 10%

Solve:

First Step: Find the market price (before discount)

$20, 000 × (1 + 20%) = $24, 000

Second Step: Find the discount price

$24, 000 × (1 - 10%) = $21, 600

Hope this helps!! :)

Please let me know if you have any questions

Which situation does the graph illustrate?

Answers

Answer:

eju 48, 23w6yuw43wdgn

Step-by-step explanation:

In trapezoid WXYZ, m∠ZYX=107°. Identify m∠ZWX.

Answers

Answer:

73 degrees.

Step-by-step explanation:

the inward angle at W is the outward angle at Y and therefore the complement of 107 degrees to 180.

180 - 107 = 73 degrees.

The measure of angle ZWX is 73 degrees.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

We are given that the trapezoid WXYZ, m∠ZYX=107°.

We have been given an image of a trapezoid and we are asked to find the measure of angle ZWX .

We can see from our trapezoid that angle XYZ and angle WZY measures 90 degrees.

Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals

m∠ZYX + m∠ZWX = 180

m∠ZWX = 180 - 107

m∠ZWX = 73 degrees.

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As displayed on a production possibilities curve, what will an increase in technology allow a society to do? a. Produce more, as long as the resources are also available. c. It will not affect society’s production. b. Produce less, because more resources are spent on developing technology. d. The society will spend more on the same level of production. Please select the best answer from the choices provided A

Answers

Answer:

a. Produce more, as long as the resources are also available

Step-by-step explanation:

from brainly itself

scouteo

Ace

The correct answer is A) produce more, as long as the resources are also available.

As displayed on a production possibilities curve, an increase in technology will allow a society to produce more, as long as the resources are also available.

A production possibilities graph is a valid representation of the available ways an economy is able to use the resources. In this case, an increase in technology will allow a society to produce more, as long as the resources are also available means that as long there are enough resources in the market, technology in a country helps with the production of more things to be consumed or traded.  

I NEED HELP WITH THIS PLEASE!!!!!

Answers

Answer:

nt ooooo

o

Step-by-step explanation:

In a city of 26,000 population 5000 read English news paper, 12000 read Nepali La News paper and 1000 read both of these. What percent read neither English nor Ne newspaper. ​

Answers

Answer:

38.46%

Step-by-step explanation:

We are given;

Total population; n(S) = 26000

Number that read English news paper; n(E) = 5000

Number of people that read nepali; n(N) = 12000

Number that read both English and nepali; n(E n N) = 1000

Thus from probability laws, number that read either English or nepali is;

n(E u N) = n(N) + n(E) - n(N n E)

n(E u N) = 12000 + 5000 - 1000 = 16000

Thus;

number that read neither English nor nepali is;

n(E' u N') = n(S) - n(E u N)

n(E' u N') = 26000 - 16000 = 10000

Thus, the percentage is;

10000/26000 × 100% = 38.46%

One of the legs of a right triangle measures 9 cm and its hypotenuse measures 16 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

13.2 cm

Step-by-step explanation:

using the Pythagorean theorem, we can find the length of the other leg, since this is a right triangle. The equation is a^2 + b^2 = c^2, A and B being the legs and C being the hypotenuse. Since we are finding the other leg, we can switch the equation around to find A/B instead. (A/B being the legs). so we get: B^2 = C^2 - A^2 ; then we simplify [tex]b=\sqrt{c^2-a^2}[/tex]

We plug in the numbers given:

[tex]b = \sqrt{16^2-9^2}\\b=\sqrt{256-81}\\b=\sqrt{175} \\b= 13.229[/tex]

rounded to nearest tenth: 13.2

The measure of the other leg in the right triangle is 13.22 cm.

What is a right triangle?

A triangle with one angle measuring 90° is called a right triangle.

Given that, a right triangle has a leg measuring 9 cm and its hypotenuse is 16 cm longs, we need to find the other side,

So, using the Pythagoras theorem,

16² = 9² + x²

x = √256-81

x = √175

x = 13.22

Hence, the measure of the other leg in the right triangle is 13.22 cm.

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Which statement is not correct?

Answers

options b is not correct

Answer:

B is right option

Step-by-step explanation

A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees.

Which segment is the hypotenuse?​

Answers

Answer:

Side TN

Step-by-step explanation:

The hypotenuse is always the opposite of the right angle of a triangle.  

Help pleas like please ASAP

Answers

Answer:

(x+9)(x+5)

Step-by-step explanation:

find 2 numbers that add to 14 and multiply to 45

X+9 x+5 hope that helped

8^6 * 8^4 Rewrite the expression in the form 8^n

Answers

8^6*8^4 is 1073741824 I think that is 8^10

An 8-kN force is applied over an area of 2 cm^2. What is the stress?


4 MPa


4 kPa


40 kPa


40 MPa


4 Pa

Answers

Answer:

Option a (4 MPa) is the right answer.

Step-by-step explanation:

The given values are:

Force,

F = 8 kN

Area,

A = 2 cm²

The stress will be:

⇒ [tex]\sigma = \frac{Force}{Area}[/tex]

By substituting the given values, we get

       [tex]=\frac{8}{2}[/tex]

       [tex]= 4 \ MPa[/tex]

Which function is represented by the graph

Answers

Answer: A

Screenshot of calculator

It is a good idea to check your solutions when using the quadratic formula?

Answers

Answer: Since the square root of a negative number is not a real number, then a negative radical will result in no real solution.

Step-by-step explanation:

Help me please for this question im heavily confused.

Answers

Answer:

a)

Let x = number of candy bars sold

Let y = amount of money earned

b)

y = 0.75x

c)

He should work at the car wash.

Step-by-step explanation:

a)

Let x = number of candy bars sold

Let y = amount of money earned

b)

$42.75/57 = $0.75

Each candy bar costs $0.75

We can confirm that by dividing $38.25/51 = $0.75

1 candy bar sells for $0.75

2 candy bars sell for $0.75 * 2

x candy bars sell for 0.75 * x, or simply 0.75x

The equation is y = 0.75x

c)

y = 0.75x

y = 0.75 * 36

y = 27

Larry raised $27 by selling candy bars last year. This year, he can earn more than that by working at the car wash.

He should work at the car wash.

In your backpack there are three math books, two science books, and five notebooks. If you reach into your backpack and select a math book, and then reach in and select a notebook, are these independent events? Explain.

Answers

Answer:

When you selected the math book, it was an independent event.

However, when you selected the notebook, it was a dependent event.

The math book is an independent event because it's selection doesn't depend on anything else...it's the first thing you chose.  However the notebook is a dependent event because you did not put the math book in the bag after you took it out.  Therefore, because you selected the math book first, you only had 9 items to choose from as opposed to 10 if you had put the math book back.

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