A pizza restaurant is having a contest. The restaurant advertises that one out of every 25 customers will win a small pizza. What is the probability that a customer will win?

Answer:

SA = 225 cm²

Step-by-step explanation:

The given pyramid dimensions are;

The length of the rectangular base of the pyramid, l = 12 cm

The width of the base, w = 6 cm

The area of the rectangular base, Aₐ = 12 cm × 6 cm = 72 cm²

The height of one of the triangles forming the side of the pyramid, h₁ = 8 cm

The base length of the above triangle, b₁ = 12 cm

The area of the above triangle, A₁ = (1/2)×12 cm × 8 cm = 48 cm²

The height of the other of the triangles forming the other side of the pyramid, h₂ = 9.5 cm

The base length of the above triangle, b₂ = 6 cm

The area of the above triangle, A = (1/2) × 9.5 cm × 6 cm = 28.5 cm²

The surface area of the pyramid, SA = Aₐ + 2 × A₁ + 2 × A₂

Therefore;

SA = 72 cm² + 2 × 48 cm² + 2 × 28.5 cm² = 225 cm²

SA = 225 cm²

Answer:

(10, 8)

Step-by-step explanation:

The missing vertex can be found by plotting the given coordiantes on a graph.

Answer:

14

Step-by-step explanation:

First, find out how many she had to distribute

96 - 12 = 84

Now divide 84 by the number of students

84/6=14

Answer:

[tex]3x^2-5x=-8[/tex]

[tex]2x^2=6x-5[/tex]

[tex]-x^2-10x=34[/tex]

Step-by-step explanation:

The equations are:

[tex]3x^2-5x=-8[/tex]

[tex]2x^2=6x-5[/tex]

[tex]12x=9x^2+4[/tex]

[tex]-x^2-10x=34[/tex]

(a) [tex]3x^2-5x=-8[/tex]

Add 8 to both sides

[tex]3x^2 - 5x + 8 =0[/tex]

To do this, we simply calculate the discriminant (d) using:

[tex]d =b^2 - 4ac[/tex]

If [tex]d < 0[/tex]

Then it has complex roots

Where: [tex]a = 3; b = -5; c = 8[/tex]

[tex]d = (-5)^2 - 4 * 3 * 8[/tex]

[tex]d = 25 - 96[/tex]

[tex]d = -71[/tex]

[tex]-71 < 0[/tex] --- complex root

(b) [tex]2x^2=6x-5[/tex]

Equate to 0

[tex]2x^2 - 6x + 5 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-6)^2 - 4 * 2 * 5[/tex]

[tex]d = 36 - 40[/tex]

[tex]d =-4[/tex]

[tex]-4 < 0[/tex] --- complex root

(c) [tex]12x=9x^2+4[/tex]

Equate to 0

[tex]9x^2 - 12x + 4 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-12)^2 - 4 * 9 * 4[/tex]

[tex]d = 144 - 144[/tex]

[tex]d = 0[/tex] ---- real roots

(d) [tex]-x^2-10x=34[/tex]

Equate to 0

[tex]-x^2 - 10x - 34 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-10)^2 - 4 * (-1) * (-34)[/tex]

[tex]d = 100 - 136[/tex]

[tex]d = - 36[/tex]

[tex]-36 < 0[/tex] ---- complex root

Un binomio al cuadrado es una suma algebraica que se suma por sí misma, es decir, si tenemos el binomio a + b, el cuadrado de ese binomio es (a + b) (a + b) y se expresa como (a + b)2. ... Se le llama cuadrado perfecto, porque el resultado de su raíz cuadrada siempre es un binomio.

Answer:

6 hours

Step-by-step explanation:

Research is 5%, Games is 25%, so the diffrence is 20%

20%  of 30 hours = 30 x2/10 = 6 hours

Tremaine played 6 hours more video games than research.

Answer:

F

Step-by-step explanation:

We can use a proportions to solve this problem:

time of researches (in percentages 100% is used to indicate the total)

5 : 100 = x : 30

x = (5 * 30)/ 100 = 1.5

time of games

25 : 100 = x : 30

x = (25 * 30)/100 = 7.5

7.5 - 1.5 = 6 hours

There were 4 treatment conditions compared in the experiment.

When using independent-measures ANOVA (Analysis of Variance), the F-ratio is determined by contrasting the variability within and between treatment conditions.

The ratio of these two variances is known as the F-ratio.

Degrees of freedom (df) within a treatment condition are denoted as df within, and df between denotes the df between treatment conditions.

The formula for calculating the F-ratio is:

F = (Variance between groups) / (Variance within groups)

Given that the df between = 3 and df within = 40, we can use this information to find the number of treatment conditions (groups) compared in the experiment.

The number of treatment conditions (groups) can be calculated using the formula:

Number of groups = df between + 1

Therefore, in this case:

Number of groups = 3 + 1 = 4

So, there were 4 treatment conditions compared in the experiment.

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Answer:

First Problem: 9

Second Problem: Not, Is, Is, Not, Not

Third Problem: n = 18

Step-by-step explanation:

First Problem: [tex]3^{6+4}/3^{8}[/tex] =3^2 = 9

Second Problem: 11^24

Third Problem: 7^30/7^12=7^n

Answer:

C

Step-by-step explanation:

thanks to the given informations we can say that the right triangle is half of an equilater one.

the height of the triangle can be find by multiplying the smallest leg with √3

so

x√3 = 8

x = 8/√3

that can be expressed as 8√3/3

8√3

3

Step-by-step explanation:

This triangle is 30-60-60 and to get side 8 is equal to x√3

Answer:

A 4 digit PIN is selected. What is the probability that there are no repeated digits?

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are 10 × 10 × 10 × 10 = 104 = 10000 total possible PINs.

To have no repeated digits, all four digits would have to be different, which is selecting without replacement. We could either compute 10 × 9 × 8 × 7, or notice that this is the same as the permutation 10P4 = 5040.

The probability of no repeated digits is the number of 4 digit PINs with no repeated digits divided by the total number of 4 digit PINs. This probability is

Answer:

8.8in

Step-by-step explanation:

cube 571.787

Answer:

4/5x+3

Step-by-step explanation:

remove the useless parenthesis, then calculate the x sum then the normal numbers sum

Answer:

y=2x+14

Step-by-step explanation:

m=3-(-5)=2

   -1-(-5)

so the slope is 2

to write the equation

y-y1=m(x-x1)

we will take the mid

-5+(-1)=-6

-5+3=2

y-2=2(x-(-6))

y-2=2x+12

y=2x+14

Answer:

y  =2x + 5

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-5) / -1 - (-5)

8 / 4

2

y = 2x + b

3 = 2(-1) + b

3 = -2 + b

b = 5

Answer:

x^2               -2x              +5

Step-by-step explanation:

x^2               -2x              +5

           ----------------------------------------------------------

2x + 5  /    2x^3      +     x^2       +    0x         + 25

              -(2x^3      +   5x^2)

             ----------------------------

                                   -4x^2       +    0x        

                                 -( -4x^2      -    10x )

                                  -----------------------------------------

                                                          10x           + 25

                                                        -(10x            + 25)

                                                        ---------------------------

                                                                                  0

The desired quotient is x^2               -2x              +5

Answer:

28.566

Step-by-step explanation:

you use the pythagorean theorem which is a^2 + b^2 = c^2 and plug in those numbers into the equation solving for a. hope this helped!

Answer:

D) 7(5x-1)

Step-by-step explanation:

35x -7

7*5x -7*1

7(5x-1)

Answer:

D) 7(5x-1)

Step-by-step explanation:

35x-7

7(5x-1)

Answer: 3^15

Step-by-step explanation: carry the one to the 5 divide by the third and multiply the fractions , find the mean ( average ) of the mode and square that to find your a b and c values

Answer:

[-8]

Step-by-step explanation:

An absolute value of |x| {modulus of x} is the value of a real number x. The option A and C represents elevation, while B and D represents vertical distance from sea level.

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.

Given that you can use "-6 feet" to describe its elevation, and "|-6 feet|" to describe its vertical distance from sea level. Therefore, each of the number will describe the following things.

A. 25 feet → 25 feet above sea level

B. |25| feet → 25 feet from sea level

C. -8 feet → 8 feet below sea level

D. |-8| feet → 8 feet from sea level

Hence, The option A and C represents elevation, while B and D represents vertical distance from sea level.

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Answer:hhhhhhhhhbbbbb

Step-by-step explanation:

44444444

Answer:

x°=40.7°

Step-by-step explanation:

Sin(x°)=15/23

x°=Sin^-1(15/23)=40.7°

Answer:

your profit is Double the price that you bought the kits

Step-by-step explanation:

x= cost of kit

you buy it x/2

x/2 + 4.5 .... (1)

x + x/2 +4.5 .... (2)

let x = 40

40/2 + 4.5 = 24.5

40 + 40/2 + 4.5 = 64.5

64.5 - 24.5 = 40

so

you buy it in x/2 = 40/2 = 20

and sell it in x = 40

40/20 = 2

your profit is Double the price that you bought the kits

The profit is Double the price that you bought the kits.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that the cost of the kits on sale for 50% of the original price, plus a shipping fee of $4.50 per kit.

Let x be the cost of kit.

Therefore,

x/2 + 4.5 .... (1)

x + x/2 +4.5 .... (2)

let x = 40

40/2 + 4.5 = 24.5

40 + 40/2 + 4.5 = 64.5

64.5 - 24.5 = 40

Therefore, buy it in x/2 = 40/2 = 20

and sell it in x = 40

40/20 = 2

Hence, the profit is Double the price that you bought the kits.

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Answer:

[tex]Pr(egg) = \frac{3}{14}[/tex]

Step-by-step explanation:

Given

[tex]Days = 14[/tex] --- 2 weeks

[tex]Eggs = 3[/tex] --- daily

Required

The experimental probability of getting 3 eggs tomorrow

This is calculated as:

[tex]Pr(egg) = \frac{Eggs}{Days}[/tex]

Substitute values for eggs and days

[tex]Pr(egg) = \frac{3}{14}[/tex]

Step-by-step explanation:

Perpendicular : means two lines meet at 90°

1) angle B = 90° - 50°

= 40°

2) Angle D = 90° - 30°

= 70°

Answer:

r = 3.25

Step-by-step explanation:

Start by eliminating the decimal fraction 0.5:  2(0.5)(r + 2.75) = 2(3) = 6

Then we have r + 2.75 = 6.

Isolate r by  subtracting 2.75 from both sides.  This leaves us with

r = 6 - 2.75 = 3.25.

r = 3.25

Answer:

Step-by-step explanation:

convert 1 day into hours

1 day=24 hour

2/24

=1/12

1 day = 24 hours

So,

Answer:

x = 63/4  or 15 3/4

Step-by-step explanation:

4(x-11)=19

Distribute

4x -44 =  19

Add 44 to each side

4x-44+44 = 19+44

4x = 63

Divide by 4

4x/4 = 63/4

x =15 3/4

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]4(x - 11) = 19 \\ 4x - 44 = 19 \\ 4x = 19 + 44 \\ 4x = 63 \\ x = \frac{63}{4} \\ x = 15.75[/tex]

✐ The value of x is 63/4 (in fraction form) OR 15.75 (in decimal form).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

7) Unfilled dot at 5 with a line going right

8) A filled dot at 8 with a line going right

9) Unfilled dot at 22 with a line going left

10) A filled dot 13 with a line going left

11) x < 9

12) x > 14

13) x ≤ 11

14) x ≥ 7

Step-by-step explanation:

> means greater than

≥ means greater than or equal to

< means less than

≤ means less than or equal to

If something is greater than the given number then the variable increases in value and will be on the right side of the number line

If something is less than the given number then the variable decreases in value and will be on the left side of the number line

If a variable is < or > the dot is unfilled because it does not include that number

If a variable is ≤ or ≥ the dot is filled because it includes the given number

Answer: Choice A)  

y = -4x+1

=======================================

Explanation:

The general format of a linear equation can be written as y = mx+b

m = slope

b = y intercept

The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.

Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.