It is claimed that 79% of all Americans live in cities with population greater than 100,000 people.
Based on this, if 41 Americans are randomly selected, find the probability that

a. Exactly 30 of them live in cities with population greater than 100,000 people.

b. At most 33 of them live in cities with population greater than 100,000 people.

c. At least 34 of them live in cities with population greater than 100,000 people.

d. Between 28 and 33 (including 28 and 33) of them live in cities with population greater than
100,000 people.

Answer:

b

Step-by-step explanation:

Answer:

[tex](x - 6)(x + 5) = {x}^{2} - x - 30 \\ or \\ a {x}^{2} + bx + c\\ {x}^{2} +( x_{1} + x_{2}) x + x_{1} .x_{2} \\ b = x_{1} + x_{2} = 5 - 6 = - 1 \\c = x_{1} .x_{2} = - 6 \times 5 = - 30 \\ \therefore \: {x}^{2} - x - 30[/tex]

you do the rest

Answer:

19 Your welcome have a good day

Step-by-step explanation:

es 1

6/9+2/3+10/2(5)=

6+6+45/9=

57/9

es 2

-3/6-2/4-10/5(2)=

-6-6-24/12=

36/12=3

es 3

15/8-3/2+8/9=

135-108+64/72=

91/72

9514 1404 393

Answer:

  (a)  {x | x < 1}

Step-by-step explanation:

Given ...

  3x < 3

You can find the solution by dividing both sides by 3:

  (3x)/3 < 3/3

  x < 1

Written in your given notation, this is ...

  {x | x < 1}

Answer:

28

Step-by-step explanation:

The total amount of cows is 48 and is split into 12 groups (7+5).

So 1 group is 48÷12=4

1 group=4

He owns 7 groups of Holstein cows.

So if 1 group is 4, 7 groups is 7x4=28.

28

The number of Holstein cows, if The ratio of Holstein and jersey cows is 7:5, and the Total number of cows is  48, is 28.

It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3. If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalizes two ratios.

Given:

The ratio of Holstein and jersey cows is 7:5,

Total number of cows = 48

Calculate the values as shown below,

Assume the number of Holstein cows is 7x

7x + 5x = 48

12x = 48

x = 4

Thus, the number of Holstein cows is 7 × 4 = 28

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Answer:

$12,088.55

Step-by-step explanation:

$8000(1+(0.07/2))^(2*6)

$8000(1.035)^(2*6)

$8000(1.51106865)

$12088.5492 - exact

$12088.55 - real

Answer:

[tex]y = mx + c \\ 7 = 3m + c \\ 5= - 3m + c \\ 2c = 12 \\ c = 6 \\ 7 = 3m + 6 \\ 3m = 1 \\ m = \frac{1}{3} \\ y = \frac{1}{3} x + 6[/tex]

Answer:

yes your correct

Step-by-step explanation:

Answer: not much help i can barley see the paper

Step-by-step explanation:

Answer:

chromosomes

Step-by-step explanation:

i dont know

[tex] = 3 \sqrt[5]{3} [/tex]

Answer:

B

Step-by-step explanation

TIENES QUE SIEMPRE FIJARTE EL DE ABAJO Y DESPUES EL DE ARRIBA

EN PLAN LA LINEA QUE PASA POR EL EJE

Answer:

A one real root

Step-by-step explanation:

if not I'm sorry if I get it wrong

Answer:

less than

Step-by-step explanation:

314+175= 489 round that it would be 500 so it would be less than 600

Please mark me brainliest

Hello there!

The sum of 314 and 175 = 489.

If we round it, we will get 500.

500 is less than 600.

So the sum of 314+175 is less than 600.

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Step-by-step explanation:

gradient=3/3=1

that is the answer

Answer:

letter

B. =-5.8

Step-by-step explanation:

hope its help

Answer:

12.5 mph = 5.588 m/s

Step-by-step explanation:

To convert a mile per hour measurement to a meter per second measurement, multiply the speed by the conversion ratio.

Since one mile per hour is equal to 0.44704 meters per second, you can use this simple formula to convert:

Answer:

522.87

Step-by-step explanation:

15*40=600

22.5*10=225

825*24.5%=202.13

825-100-202.13=522.87

Answer:

i think its b.24 minutes

Step-by-step explanation:

sorry if im wrong

Answer:

Samantha spent 24 minutes on language arts.

Step-by-step explanation:

So, 60% = 3/5.

Since Samantha spent 40 minutes in total for homework, the 40 minutes would be the denominator. Let's have the variable "x" equal how many minutes she spent on language arts. If we line up the fractions, it will be like this:

3/5 = x/40

Since we know 5 x 8 = 40, we would also multiply the numerator by 8.

3 x 8 =24.

So, Samantha spent 24/40 minutes on ELA, which is 60% of the total time.

9514 1404 393

Answer:

  D.  J(x) = 1/4(-x)^3

Step-by-step explanation:

Reflection across the y-axis replaces x with -x. Then if Fr(x) represents the reflected function, we have ...

  Fr(x) = (-x)^3.

Compression by a factor of c < 1 multiplies the function value by c. Then ...

  J(x) = 1/4·Fr(x)

  J(x) = (1/4)(-x)^3

Answer:

x=10 since 8x+10 and 6x+30 are equal just equate

Answer:

Step-by-step explanation:

D = Donuts

B = Brust cut

P = Profit

B - 12D = $3

12D = $12 a donut, used $3 since it didnt say more than 3.

Plug it in

B - 12(10) = $3

B - 120 = 3

  +120    +120

B= $123

If Brust had 1/4 of the profit, do 4B to find profit

4B = P

4(123) = P

P = $492

Algebros made $492 selling fidget spinners.

The minimum possible profit for Algebros would be $60

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value. The general equation of a straight line inequality is -

[y] < [m]x + [c]

[y] > [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line inequality can be also written as -

Ax + By + C > 0

By > - Ax - C

y > (- A/B)x - (C/A)

Given is Brust who took his cut (one-fourth) of the Algebros profit from selling fidget spinners to the store and bought 10 donuts for $12. He came home with more than $3.00.

Assume that Algebros had made $x profit. Then, we can write the  inequality as -

x/4 - 12 > 3

On solving, we get -

x/4 > 15

x > 60

Therefore, the minimum possible profit for Algebros would be $60

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Answer:

8/t + t^2 = 18

Step-by-step explanation:

8/t + t^2

t = 4

8/4 + 4^2

2 + 16 = 18

8/t + t^2 = 18

Answer:

hope i helped...if anythng not understood please write in the comments

Answer:25

Step-by-step explanation:

350 / 14 =25

Answer:

5$ for a stamp

Step-by-step explanation: First calculate the TOTAL amount of money spent on the food tickets. 4 friends, 3$ each for a ticket = 12$. Total cost is 32$ so do 32$-12$ to find how much else you paid after the 12$ on food ticket which is 20$. Divide the reamaining money (20$) by 4 because of the four friends. Than there is the price for the unlimited ride stamp 5$. Think of it like this. x+12=32.    x=20,         x/4=20/4     x=5$. Let me know if im wrong

Answer:

I have 1000$ i wanna buy it

Step-by-step explanation:

Answer is 2.1 kg and 2.9 kg.

A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign "=".

Given that,

Amount of cheese = $8 per kg

Amount of kiwis = $ 3 per kg

Assume

X = quantity of chees

Y = quantity of kiwi

According to the given information,

X + Y = 5  ...(i)

8X + 3Y = (5)4.50    ....(ii)

From (ii) = 3x(i),

5x = 10.5

 x = 2.1 kg

Now put the value of x into (i),

y = 2.9 kg

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The attached picture is the answer. Hope it helps!!!

Answer:

Volume of the prism =area of base*height

=[3*3+3*6]*9

=243 cm³

Alternate

Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³