A textbook has `428` numbered pages, starting with 1.



You are equally likely to stop on any of the pages if you flip through the book randomly.



If you repeat this experiment `50` times, about how many times do you expect to turn to an even-numbered page?

Answer:

The theoretical probability of rolling a 4 on any given roll for a six-sided die is [tex]\frac{1}{6}[/tex], The experimental probability of rolling a 4 is [tex]\frac{6}{25}[/tex].

Step-by-step explanation:

Answer :

the probability of tossing three heads in a row

[tex]=\left( \frac{3}{8} \right)^{3} =\frac{27}{512} =0.052734375[/tex]

…………………………………………

the probability of tossing two heads followed by one tail

[tex]=\left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{45}{512}[/tex]

……………………………

the probability of two heads and one tail in any order

[tex]=3\times \left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{135}{512}[/tex]

As it is given :

Present age of mom : Present age of son = 6 : 1

Therefore let :

Ages after 10 year :

The ages after 10 years are given in rational of 8 : 3.

Which means :

Mom's age after 10 years : Son's age after 10 years = 8 :3.

Now :

[tex] \scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star[/tex]

[tex] \\ \\ [/tex]

So :

[tex] \small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1} [/tex]

[tex] \\ \\[/tex]

[tex] \small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x +30= \sf 8x + 80[/tex]

[tex] \\ \\ [/tex]

[tex] \small\sf \dashrightarrow 18x - 8x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x +30= \sf 80[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 80 - 30[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow 10x = \sf 50[/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10} [/tex]

[tex] \\ \\ [/tex]

[tex]\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0} [/tex]

[tex] \\ \\ [/tex]

[tex] \small\bf \dashrightarrow x = \pink 5[/tex]

[tex] \\ [/tex]

We know :

[tex] \footnotesize \hookrightarrow \sf Son's \: age = x[/tex]

[tex] \footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}[/tex]

[tex] \\ \\ [/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = 6x[/tex]

[tex] \footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5[/tex]

[tex] \footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}[/tex]

And all we are done ! ㋛

Answer:

D

Step-by-step explanation:

1/2 is not equal to 1/2.5 is not equal to 0.5/2.25.

Answer:

b=35 because 4+29=35 and that my statement for this answer so glad with the rest

Answer:

I dont see a correct answer but
D= 58t

The formula is a = (b1*b2)/2   .    

The total amount of time spent by the student as shown by the line plot is: D. 5 ¼ hours.

Each dot or x-mark represents a value. To find the total, add each of the data points given in the line plot.

Total amount of time is:

2(1/4) + 5(1/2) + 3(3/4)

= 1/2 + 5/2 + 9/4

= (2 + 10 + 9)/4

= 21/4

= 5 ¼ hours.

Total time spent by students is: D. 5 ¼ hours.

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Answer:

Volume in terms of pi is 24

Step-by-step explanation:

formula for volume is pi x radius squared x height

3.14 x [tex]2^{2}[/tex] x 6=

75.36 then divide by pi

75.36/3.14=24pi in[tex]^{2}[/tex]

The given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given a polynomial:

x² + 4x + 7

As we know, the monomial has only one term.

The binomial has two terms.

The trinomial has three terms.

As we can see in the given polynomial there are three terms which is x², 4x, and 7.

Thus, the given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

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Answer:

Here is the answer...hope it helps

Answer:

multiply them all together

Using multiplication rules, it is found that the result of the multiplication will be a negative number.

Hence, in this problem we have that:

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Answer:

2: area is ≈153.93804 and circumfrence is ≈43.9823

3: area is ≈706.85835 and circumfrene is ≈94.24778

Step-by-step explanation:

The formula for area is A = pi r^2

for 2 you would plug 7 in for r, then square it, then multiply it by pi.

for 3 you would divide the diameter, 30, by 2 to get r (15), then square it then multiply by pi.

The formula for cirumfrence is C = 2 pi r

for 2 you would multiply 7 by 2, then multiply that by pi

for 3 you dont need to do much since the diameter (30) is already 2r. Basically all you need to do for that one is multiply 30 by pi

Answer: y = (x/2)°

Step-by-step explanation:

The two angles are because they are opposite angles.

Answer:

78 HAMBURGERS!!!

Step-by-step explanation:

LET H BE THE NUMBER OF HAMBURGERS HOLD!!!

2H IS THE NUMBER OF CHEESEBURGERS BECAUSE THERE WERE 2 TIMES AS MANY CHEESEBURGERS SOLD AS HAMBURGERS!!!

H+2H=234 | THE TOTAL NUMBER OF CHEESEBURGER AND HAMBURGER SOLD!!!

3H=234 | ADD LIKE TERMS!!

DIVIDE BOTH SIDES BY 3 | ISOLATE THE VARIABLE!!!

H=78

THAT IS YOUR ANSWER!!!

- Khan Academy Advance!!!

Answer: 78 hamburgers

Step-by-step explanation:

      Let x be the number of hamburgers sold. We will write an equation for the problem and solve.

      2x + x = 234

      3x = 234

      x  = 78

       78 hamburgers were sold on Saturday.

Read more about a similar math problem here:

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Answer:

32x^10y

Explanation -

You want to use distributive property. Take 2x^5 and the Exponent 2y^5

It should look like this

A. The word mean is the same as saying average. To find the average/mean add all the numbers together and then divide by the amount of numbers. For example, if your numbers were 2, 6, and 7. You would do 2+6+7=15. Then 15 divided by 3 is 5. The mean of those numbers is 5.

B. The median is the middle number. Put the numbers in a list from least to greatest and then find the one in the middle. For example, if your numbers were 1, 2, 3, 4, 5, 6,  the median would be 3.

C. The mode is the most frequent number. Count how many of each number appears in the list, the one with the most is the mode. For example, if your numbers were 1, 1, 3, 8, 2, 1, the number 1 would be the mode because it appears the most frequently.

D. The range is the smallest number and the largest number. If your numbers were 2, 12, 46, and 9, the range would be 2-46 or 2 to 46.

I hope this helps you, let me know if you have any questions or would like another example! :)

Answer:

Yes, Sophia is correct

Step-by-step explanation:

The expression is correct and if you solve it, you get 23 which should be her uncle's age.

Answer:

Answer is 721.561 answer thanks

[tex]f(x) = 3x^{-1}\\\\f'(x) = 3(-1) x^{-1-1} = -3x^{-2}\\\\f''(x) = -3(-2)x^{-2-1} = 6x^{-3}\\\\f'''(x) = 6(-3)x^{-3-1}=-18x^{-4}\\\\f''''(x) = -18(-4)x^{-4-1} = 72x^{-5}[/tex]

[tex]\text{The fourth derivative of f(x) is}~ 72x^{-5}.[/tex]

Answer:

(-4 , 2)

Step-by-step explanation:

      3y - 2x ≥ 8

The ordered point (-4 ,2) satisfies the inequality. So, (-4,2) is the solution for the equation.

3*2 - 2*(-4) ≥ 8

     6 + 8  ≥ 8

         14  ≥ 8

Answer:

20

Step-by-step explanation:

count the dots

Answer:

20 students

Step-by-step explanation:

You just need to count the number of dots.

hope this helps

have a good day

Step-by-step explanation:

one million, two hundred thirty-four thousand, seven hundred sixty-one

Answer:

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

[tex] \\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\ [/tex]

On Substituting the required values, we get:

[tex] \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\ [/tex]

Answer:

y-6.7=0* (x+3)

Step-by-step explanation:

Answer:

$2,422.50

Step-by-step explanation:

$2,850- 15% (427.5)= 2422.5

You could also multiply $2850 * 0.85= $2,422.5