you are dealt one card from a standard 52 card deck. find the probability of being dealt a card greater than 2 and less than 8

Answer:

(a) Option A. independent

(b) [tex]P(A\ and\ B) = 0.0312[/tex]

Step-by-step explanation:

Two events A and B are considered dependent if the occurrence of one affects the probability of occurrence of another.

In this case, the events are independent because the birth of a girl or a boy does not affect the probability of obtaining a 1 by throwing a 16-sided die.

In the same way, throwing a die and obtaining the number 1 does not affect the probability that a baby is a girl or a boy.

When two events are independent then

[tex]P(A\ and\ B) = P(A)*P(B)[/tex]

The probability that a baby is a girl is

[tex]P(A) = 0.5[/tex]

The probability of obtaining a 1 when casting a 16-sided die is:

[tex]P(B) = \frac{1}{16}[/tex]

Then:

[tex]P(A\ and\ B) = 0.5 * \frac{1}{16}[/tex]

[tex]P(A\ and\ B) = 0.0312[/tex]

.5 and 4 I think there should be a abcd questions

Answer:

(7.5, 1.2) and (7.5, –2.3)

Step-by-step explanation:

Hope this helps

Circumference = diameter x PI

Circumference = 3.14 x 68 yards = 213.52 yards.

Area = PI x r^2

r = 1/2 the diameter = 1/2 x 68 = 34 yards.

Area = 3.14 x 34^2 = 3.14 x 1156 = 3629.84 yards^2

Answer: 14.555

Step-by-step explanation: so you take $3.85 multiplied by 3 because they bought 3 toy cars plus a $4.56 and take the answer of that and divide by 2 because they split the cost. Hope this helps

Answer:

each girl had to pay around $8.06

Step-by-step explanation:

They bought 3 toy cars and each car was $3.85.

You have to multiply $3.85*3 which is $11.55.

Then add the $4.56 of shipping fee which is $16.11.

since the 2 girls shared the total cost, divide 16.11/2

16.11/2= $8.06

Answer:

-5cd

Step-by-step explanation:

-3cd-d(2c-4)-4d

Distribute the -d

-3cd-d2c-+d4-4d

-3cd -2cd +4d-4d

Combine like terms

-5cd

Answer:

1. Area of the land which can be ploughed daily is 50 hectares (and 70 hectares at higher rate)

2. Area of the field is 700 hectares

Step-by-step explanation:

Let x hectares be the number of hectares the farmers  normally ploughed in a day. At this rate, they will complete the work in 14 days, so they have to plough

[tex]14\cdot x=14x\ hectares.[/tex]  

Then x+20 hectares is the number of hectares the farmers ploughed in a day when they increased their productivity of work. At this rate, they will complete the work in 10 days, so they have to plough

[tex]10\cdot (x+20)=10(x+20)\ hectares.[/tex]

The work is the same, so

[tex]14x=10(x+20)\\ \\14x=10x+200\\ \\14x-10x=200\\ \\4x=200\\ \\x=50[/tex]

Ploughing 50 hectares each day 14 days in a row they will plough

[tex]14\cdot 50=700\ hectares[/tex]

It completely depends on the teacher, but typically exams seem to be worth at least 50% of your final grade.

I depends on what school you go to and how many subjects you have to study. It also depends on the type of teacher you have. But generally I would say exams are worth over 50% of your final grade.

Hope this helps!

Answer:

choice c is believe is the answer

Step-by-step explanation:

Applying the Pythagorean theorem, the distance between kensington and greenwich is: b. 20√5 mi.

To solve a right triangle, where a and b are the legs and c is the longest side (hypotenuse), the Pythagorean theorem states that, c = √(a² + b²).

Apply the Pythagorean theorem to find the distance:

Distance between kensington and greenwich = √(40² + 20²)

= √(1,600 + 400)

= √2,000

= 20√5 mi.

Learn more about the Pythagorean Theorem on:

https://brainly.com/question/654982

#SPJ2

if its diameter is 30, then its radius is half that, or 15.

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=15 \end{cases}\implies A=\pi 15^2\implies A=225\pi \implies A\approx 706.86[/tex]

Area of the circle is the area which is occupied by the circle in the two- dimensional plane. The area of the circle is equal to the area of the bottom of the circular swimming pool. Thus the blue paint is total 707.143 square feet.

The diameter of the circular swimming pool is 30 feet.

To find out the square feet of blue the area of the circle has to be calculated.

Area of the circle is the area which is occupied by the circle in the two- dimensional plane. The area of the circle with diameter [tex]d[/tex] can be calculated as,

[tex]A=\pi\times \dfrac{d^2}{4}[/tex]

Put the value of the diameter, we get,

[tex]A=\dfrac{22}{7} \times \dfrac{30^2}{4}[/tex]

[tex]A=707.143[/tex]

The area of the circle is 707.143 square feet.

As the area of the circle is equal to the area of the bottom of the circular swimming pool. Thus the blue paint is total 707.143 square feet.

Learn more about the area of the circle here;

https://brainly.com/question/1238286

Answer:nise xdxxxxdddd

Step-by-step explanation:

Conociendo los porcentajes de cada componente y usando algebra simple, veremos que el porcentaje de la nueva mezcla que es maiz morado es el 49%.

Asumamos que comenzamos con una cantidad A de chicha morada.

Sabemos que:

Ahora mezclamos eso.

Ana se bebe el 30% de la chicha morada, es decir, la cantidad restante de chicha morada es:

0.7*A

Conociendo las proporciones con las que esto se preparo, podemos ver que la cantidad de agua restante es:

0.3*0.7*A

Y la cantidad de maiz restante es:

0.7*0.7*A

Ahora reemplaza el 0.3*A faltante con agua, es decir, la cantidad total de agua será:

0.3*0.7*A + 0.3*A

(0.3*0.7 + 0.3)*A

0.51*A

Es decir, en la nueva mezcla un 51% es agua.

Entonces el porcentaje de la nueva mezcla que es maiz morado es el 49% restante.

sí quieres aprender más, puedes leer:

https://brainly.com/question/12116804

It is false because they could be at the end of a number

Answer:

25 minutes

Step-by-step explanation:

By using the rule of three we can solve this problem:

If a machine makes 312 bolts in 30 minutes, how much time it would take to produce 260 bolts?

312 bolts -----> 30 minutes

260 bolts ------>      X

X = (260*30)/312 = 25 minutes

312/30=10.4.

260/10.4=25

ANSWER

[tex]P( \bar E) =\frac{14}{15} [/tex]

EXPLANATION

The sample space is S={1,23,4,5,...60}

n(S)=60

The multiples of 13 are:

E={13,26,39,52}

n(E)=4

Probability of choosing a picture that is a multiple of 13 is

[tex]P(E)= \frac{n(E)}{n(S)} [/tex]

[tex]P(E)= \frac{4}{60} [/tex]

Probability of choosing a picture that is NOT a multiple of 13 is

[tex]P( \bar E)= 1 - \frac{4}{60} = \frac{56}{60} = \frac{14}{15} [/tex]

ANSWER

B. y=2x+1

EXPLANATION

The graph has a y-intercept of 1.

Let y=mx +b be the equation of the straight line graph.

where b=1 is the y-intercept.

We put this value into the equation to get,

y=mx +1.

Thie point (1,3) must also satisfy this line.

3=m(1)+1

m=3-1

m=2

The equation is

y=2x+1

Answer:

-5/12, -0.3, 4/5, 0.92

Step-by-step explanation:

because: -5/12 = -0.41666666666

                -0.3

                 4/5 = 0.8

                 0.92

and the negatives are always the least especially if it's a great number with a negative sign.

Answer:

x=120  

CK

0.60*120=72

120+72=192

192=192  

Hope this helps

Step-by-step explanation:

THE ANSWER IS 192

Answer:11.4

Step-by-step explanation:

Every scale inch is 16 inches

Answer:

Given in the question an expression,

y = 3x/(8+x)

Step1

interchange the variables

x = 3y/(8+y)

Step 2

x(8+y) = 3y

Step 3

8x + xy = 3y

Step 4

8x = 3y - xy

Step 5

8x = y(3 - x)

Step 6

8x = y(3 - x)

Step 7

y = 8x/(3-x)

Step 8

y = f(x^-1) = 8x/(3-x)

So the inverse of  f(x)= 3x/(8+x) is f(x^-1) = 8x/(3-x)

what's the equation to find x

Answer:

The slope is -2

Step-by-step explanation:

To find the slope of a line when we have 2 points, we use the formula

m = (y2-y1)/(x2-x1)

    = (3-9)/(4-1)

     = -6/3

   -2

The slope of the line is -2

To find the slope of a line using two points, there are many formulas, however the easiest one to use is (rise/run)

The rise is the difference in the Y value and the run is the difference in the X value

(9-3)/(1-4) = (6/-3) = -6/3, which can be simplified to -2

Answer:

4z-(3z) z

Step-by-step explanation:

I hope that helps

Answer:

Step-by-step explanation:First of all you don't have anything to solve and the formal of a rhombus is base times height.

Okay so like maybe next time try to include a picture so we can see it, because we cant solve anything

First, we have to find the ratio of quarters to the ratio of total coins:

15/15+8+27 = 15/50

Then, multiply the ratios:

15/50 * 14/49

(14/49 since one quarter has already been removed)

210/2450

21/245 = 0.0857

The probability is about 9 percent.

Start with

[tex]6-\dfrac{2}{3}x<x-9[/tex]

Add 9 to both sides

[tex]15-\dfrac{2}{3}x<x[/tex]

Add [tex]\frac{2}{3}x[/tex] to both sides

[tex]15<\dfrac{5}{3}x[/tex]

Multiply both sides by 3/5

[tex]9<x[/tex]

Which is the same as

[tex]x>9[/tex]

Answer:

8

Step-by-step explanation:

hypotenuse = c = 17 feet

Height = a = 9 feet + 6 feet = 15 feet

Children's space = b

a^2 + b^2 = c^2

15^2 + b^2 = 17^2

225 + b^2 = 289                   Subtract 225 from both sides

225-225+b^2=289-225

b^2 = 64                                 Take the square root of both sides.

sqrt(b^2) = sqrt(64)

b = 8

Since each child takes up 1 foot, 8 children can sit on side b.  

Answer:

Step-by-step explanation:

a

Answer:

A is the answer.

Step-by-step explanation:

59

72

118

144

Answer:

Step-by-step explanation:

The center tells you how to handle the left side of a circle's equation.

(x - 2)^2 + (x - 1)^2 = r^2

The point (5,2) gives you enough information to find r^2

x = 5

y = 2

(5 - 2)^2 + (2 - 1)^2 = r^2

(3)^2 + 1^2 = r^2

9 + 1 = r^2

r^2 = 10

Complete equation

(x - 2)^2 + (y - 1)^2 = 10

Answer: (x-2)^2+(y-1)^2=10

Step-by-step explanation:

r=√(x-h)^2+(y-k)^2

r=√(5-2)^2+(2-1)^2

r=√3^2+1^2

r=√9+1

r=√10

X^2+y^2=r^2

(x-2)^2+(y-1)^2=(√10)^2

(x-2)^2+(y-1)^2=10

Ok ima be your math teacher. So basically 11 squared by two equals 121. Well you may be like Why!??!?! And it is because 11 squared by two is 11X11. Lets say the question was 11 squared by 4 then the answer would be 11X11X11X11 4 times! GET IT?!

en un año gano 55 $ locual es un dato clave

Step-by-step explanation:

Answer:

A 18° and 72°

Step-by-step explanation:

As you know, the sum of two complementary angles = 90

The ratio 1 : 4 = 1 + 4 = 5

So 90/5 = 18

1 x 18 = 18

4 x 18 = 72

The two complementary angles are  18° and 72°

Answer

A 18° and 72°