4. Translate “5 plus the product of 9 and y" into an algebraic expression.

Answer:

[tex]E(X_n)=\frac{2(n-1)}{27}[/tex]

[tex]E(y)=\frac{14}{9}[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green [tex]g=4[/tex]

Number of yellow [tex]y=4[/tex]

Number of white [tex]w=4[/tex]

Probability of Green Followed by yellow P(GY) ball

 [tex]P(GY)=\frac{4}{9}*\frac{3}{9}[/tex]

 [tex]P(GY)=\frac{4}{27}[/tex]

Generally the equations for when n is even is mathematically given by

 [tex]Probability of success P(S)=\frac{4}{27}[/tex]

 [tex]Probability of Failure P(F)=\frac{27-4}{27}[/tex]

 [tex]Probability of Failure P(F)=\frac{23}{27}[/tex]

Therefore

 [tex]E(X_n)=\frac{n}{2}*P[/tex]

 [tex]E(X_n)=\frac{n}{2}*\frac{4}{27}[/tex]

 [tex]E(X_n)=\frac{2n}{27}[/tex]

Generally the equations for when n is odd is mathematically given by

 [tex]\frac{n-1}{2}[/tex]

 [tex]E(X_n)=\frac{n-1}{2}*\frac{4}{27}[/tex]

 [tex]E(X_n)=\frac{2(n-1)}{27}[/tex]

b)

Probability of drawing white ball

 [tex]P(w)=\frac{2}{9}[/tex]

Therefore

 [tex]E(w)=\frac{1}{p}[/tex]

 [tex]E(w)=\frac{1}{\frac{2}{9}}[/tex]

 [tex]E(w)=\frac{9}{2}[/tex]

Therefore

 [tex]E(y)=[E(w)-1]\frac{4}{9}[/tex]

 [tex]E(y)=[\frac{9}{2}-1]\frac{4}{9}[/tex]

 [tex]E(y)=\frac{14}{9}[/tex]

Step-by-step explanation:

according order 15 , 19,22, 24,26,28,30,32,32. answer is 26

Answer:

Hello There!!

Step-by-step explanation:

26 is the median as you order the numbers smallest to largest.Therefore,it is 15,19,22, 24, 26,28,30,32,32 and the amount of numbers are odd so the median is the middle number.If it was even the two middle numbers would be added together and then divided by 2.

hope this helps,have a great day!!

~Pinky~

Answer:

3816m

Step-by-step explanation:

72 + 72= 144

8960 - 144= 3816

Answer:

Step-by-step explanation:

Angles on a straight line add up to 180 so 180-135 equals 45. Vertically opposite angles are equal so the second angle inside the triangle equals 100. Henceforth, we can solve this equation:

x +45+100 = 180 (angles in triangle add up to 180)

x+145=180

x=35

Vertically opposite angles are equal so x will become 35.

Hope this helps!

Answer:

yo just search up Spanish translator

Answer:

5 students are left out in the arrangement.

Step-by-step explanation:

If the number of rows = the number of columns  

Then there must be an equal arrangement

Since the total number of students in the school is 2121

Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121

Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement

so, √2121 = 46.05 (so 46 would be used)

= 2121 - (46 X 46)

= 2121 - 2116 = 5

Therefore 5 students are left out in the arrangement.

Answer:

$88.48

Step-by-step explanation:

First, we can check the formula for compound interest, which is

[tex]A = P (1 + r)^{n}[/tex] , with A representing the end amount, r representing the interest rate, and n representing the amount of times compounded. We know that the interest rate is 9% (to convert this to a decimal, we can divide it by 100, resulting in 0.09), the end amount is 700, and the amount of times compounded is however many months are in 2 years (there are 12 months per year, and 12 *2 = 24, so 24 times).

Thus, our equation is

[tex]700 = P (1 + 0.09)^{24}\\700 = P (7.911083)\\[/tex]

Divide both sides by 7.911083 to isolate P, and we get

P = 88.48 (rounded to the nearest cent)

Answer:

[tex]Mean = 6.70[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

The mean of the plot

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

Where

[tex]n = 20[/tex]

Using the given key to read, the plot;

We have:

[tex]Mean = \frac{3.00+3.25+4.25+5.00+..........+8.75+9.50}{20}[/tex]

[tex]Mean = \frac{134.00}{20}[/tex]

[tex]Mean = 6.70[/tex]

Answer:

7

Step-by-step explanation:

speed x time = distance

? x time = distance

1/28x = 1/4

1/28x          1/4

_____ =  _____

1/28          1/28

1/4 ÷ 1/28

(reciprocal method) 28/1

1/4 × 28/1 (change the equation into multiplication)

1/4 × 28/1 = 28/4 (multiply)

(Simplify) 28/4 ---> 7/1 or 7

final answer:

The persons speed would be 7.

Answer: 80yd

Step-by-step explanation:

Answer:

5v is an equivalent expression for 6v + -1 ?

Answer:

5v is equivalent expression for 6v + -1

Answer:

I think its D because if it has the parentheses then that would mean that it would go right or left

Answer:

[tex]21x^{7}y^{11}[/tex]

Step-by-step explanation:

Remove the parentheses and take out the constansts.

[tex](7 x 3) x^{2} x^{5} y^{3} y^{8}[/tex]

Simplify 7 x 3 to 21.

[tex]21x^{2} x^{5} y^{3} y^{8}[/tex]

Use the product rule: [tex]x^{a} x^{b} = x^{a + b}[/tex]

[tex]21x^{2 + 5}y^{3+8}[/tex]

Simplify 2+5 to 7.

[tex]21x^{7}y^{3+8}[/tex]

Simplfiy 3 + 8 to 11.

[tex]21x^{7}y^{11}[/tex]

Answer:

The four rational numbers between [tex]-\frac{1}{2}[/tex] and [tex]\frac{1}{2}[/tex] can be:

Step-by-step explanation:

The definition of rational numbers is usually a number of the type a/b where b is different from zero, therefore, to choose the numbers that are between -1/2 (= -0.5) and 1/2 (= 0.5) it is enough with choose fractional numbers whose dividend is 1 and its divisor is any number greater than 2, either negative or positive, in the answer we choose options such as 1/7 or -1/3, but following the guide I give you, you could choose numbers like 1/16, -1/9 or 1/40 if you wish, always respecting the guidelines given for the dividend and the divisor.

Answer:

B

Step-by-step explanation:

Answer:

O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.

Step-by-step explanation:

Dois triângulos semelhantes possuem razão entre suas áreas igual a 9.

O perímetro tem grau um, enquanto a área tem grau 2. Isto implica que a razão entre os perímetros é a raiz quadrada da razão entre as áreas, então a razão entre os perímetros é de 3.

Se o perímetro de um deles é 10, o perímetro do outro deve ser:

Ou 10*3 = 30, ou [tex]\frac{10}{3} = 3.33[/tex]

O perímetro do outro triângulo deve ser ou de 30 unidades de comprimento, ou de 3.33 unidades de comprimento.

Answer:

The measure of the angle ACB is 59°.

Step-by-step explanation:

Let be [tex]D[/tex] the location of the center of circle and [tex]r[/tex] is the radius of the figure, the triangles ACD and BCD are isosceles triangles, since [tex]AD = CD = BD = r[/tex]. And the measure of the angle C associated with each triangle are, respectively:

Triangle ACD

[tex]m\angle C = \frac{180^{\circ}-89^{\circ}}{2}[/tex]

[tex]m\angle C = 45.5^{\circ}[/tex]

Triangle BCD

[tex]m \angle C = \frac{180^{\circ}-153^{\circ}}{2}[/tex]

[tex]m\angle C = 13.5^{\circ}[/tex]

Lastly, the measure of the angle ACB is:

[tex]m\angle ACB = 45.5^{\circ} + 13.5^{\circ}[/tex]

[tex]m\angle ACB = 59^{\circ}[/tex]

The measure of the angle ACB is 59°.

Answer:

THREE AND SIX OR FOUR AND FIVE

Step-by-step explanation:

They're just opposite ends !

Step-by-step explanation:

Alternate Interior Angles: 3 and 6

Alternate Exterior Angles: 2 and 7

Answer:

Step-by-step explanation:

D.36

because 12 divided by 1/3 is 36

Answer:

Better measure of spread: The Interquartile Range

Better measure of center: The median

Step-by-step explanation:

I've done the quiz and got it correct:)

Answer:

The interval notation would be (-∞, 3.9 feet) ∪ (6.3 feet, ∞).

Step-by-step explanation:

Since the lower and upper bounds are given, those very bounds extend to infinity in this case since there is no limit to the height which would be considered abnormal in this question. Using the lower bounds and upper bounds to construct an interval notation, we get the answer as shown above.

Hope this helped!

Answer:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

so

70 + 35 + x = 180 add like terms

105 + x = 180 subtract 105 from both sides

x = 75

Answer:

75  degrees

Step-by-step explanation

triangles add up to 180 degrees so, 70+35= 105 degrees, 180-105= 75 degrees

Answer:

s + 178 = Abha's Can's

Step-by-step explanation:

Well since Abha collected 178 more cans than Shane, it would be Shane's amount of cans they collected AND 178 cans on top of that.

(i didnt know if you wanted the solution of s or just the equation on how to find s)

Answer:

-4

Step-by-step explanation:

So like ur last problem do it in order left to right.

[8x7]+5x(-8)/(-4)

56+[5x(-8)/-4

56+(-40)/-4

16/-4=(-4)

Sorry if i did in wrong order.

Answer:

D. crosses the y-axis

[tex]{ \tt{crosses \: y - axis \: at \: y = 5}}[/tex]

Answer:

24 / 3

8 x 50

53 x 7