Mario traced this trapezoid.

Answer:

5932-6000

26148-26000

527061-527000

Answer: f(x)

Step-by-step explanation:

Answer:

D. taking two marbles from a box without replacing the first marble are  dependent events

[tex]----------[/tex]

hope it helps

have a great day!!

Answer:

[tex]P(1) = 0.23[/tex]

[tex]P(5) = 0.0809[/tex]

[tex]P(x\ge 2) = 0.471[/tex]

Step-by-step explanation:

Given

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

Solving (a): P(1)

This gives:

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

[tex]P(1) = 0.23 * 0.77^{1-1}[/tex]

[tex]P(1) = 0.23 * 0.77^0[/tex]

[tex]P(1) = 0.23 * 1[/tex]

[tex]P(1) = 0.23[/tex]

Solving (b): P(5)

This gives:

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

[tex]P(5) = 0.23 * 0.77^{5-1}[/tex]

[tex]P(5) = 0.23 * 0.77^{4}[/tex]

[tex]P(5) = 0.23 * 0.35153041[/tex]

[tex]P(5) = 0.0809[/tex]

Solving (c): [tex]P(x \ge 2)[/tex]

To do this, we make use of complement rule

[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]

[tex]P(x < 2)[/tex] is calculated as:

[tex]P(x < 2) = P(0) +P(1)[/tex]

Calculate P(0)

[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]

[tex]P(0) = 0.23 * 0.77^{0-1}[/tex]

[tex]P(0) = 0.23 * 0.77^{-1}[/tex]

[tex]P(0) = 0.299[/tex]

In (a):

[tex]P(1) = 0.23[/tex]

So:

[tex]P(x < 2) = P(0) +P(1)[/tex]

[tex]P(x < 2) = 0.299 + 0.23[/tex]

[tex]P(x < 2) = 0.529[/tex]

So:

[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]

[tex]P(x\ge 2) = 1 - 0.529[/tex]

[tex]P(x\ge 2) = 0.471[/tex]

Answer:

Bro wat

Step-by-step explanation:

Answer:

C. equilateral

Step-by-step explanation:

Since each of the angles of Triangle ABC have equivalent values (each are 60 degrees), each of the sides also must have equivalent values.

Thus, since all three sides are the same length, the triangle created is equilateral.

Have a nice day! ^-^

Answer:

C = 8π ft

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = 8π

Answer:

A right triangle is always an isosceles triangle.An equilateral triangle is never an obtuse triangle.

Answer:

A right triangle is always an isosceles triangle.

Step-by-step explanation:

Answer:

The representative sample contained more girls than boys.

The true representative sample:

The representative sample contained more girls than boys.

The correct option is C.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of potential experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given:

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip.

A random sample of students is chosen.

Surveying the random sample produced a representative sample of the population.

The total number of students = 160

The number of girls = 95

The number of boys = 65

Clearly, the number of girls is more than the number of boys.

Therefore, the sample should contain more girls than boys.

To learn more about the sample space;

https://brainly.com/question/28043513

#SPJ3

Answer:

The fifth term of the binomial expansion

[tex]T_{5} = 70 x^{8} y^{20}[/tex]

Step-by-step explanation:

Step:1

Given that the binomial expansion

     ( x² + y⁵ )⁸

we know that

[tex]T_{r+1} = n_{C_{r} } a^{r} x^{n-r}[/tex] ...(i)

Step:2

put r = 4  

[tex]T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}[/tex]

[tex]T_{5} = 70 x^{8} y^{20}[/tex]

Final answer:-

The fifth term of the binomial expansion

[tex]T_{5} = 70 x^{8} y^{20}[/tex]

Answer:

a. 2^3

b. 3^4

c. 4^3 × 5^2

d. 9^4 × 7^2

Step-by-step explanation:

The following equations are given

a. 2 × 2× 2

b. 3 × 3 × 3 × 3

c. 4 × 4 × 4 × 5 × 5

d. 9 × 7 × 9 × 9 × 7 × 9

We need to find the index notation for the above equations

a. 2^3

b. 3^4

c. 4^3 × 5^2

d. 9^4 × 7^2

In this way it should be done

The same would be relevant

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

[tex]r = 3[/tex] -- radius

[tex]h = 7[/tex] --- height

[tex]Rate = 14in^3/min[/tex]

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

This gives:

[tex]V = \frac{1}{3} * 3.14 * 3^2 * 7[/tex]

[tex]V = \frac{1}{3} * 197.82[/tex]

[tex]V = 65.94in^3[/tex]

To calculate the time, we make use of the following rate formula.

[tex]Rate = \frac{Volume}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{Volume}{Rate }[/tex]

This gives:

[tex]Time= \frac{65.94in^3}{14in^3/min}[/tex]

[tex]Time= \frac{65.94in^3}{14in^3}min[/tex]

Cancel out the units

[tex]Time= \frac{65.94}{14} min[/tex]

[tex]Time= 4.71 min\\[/tex]

Answer:

The time it will take for all the liquid to pass through is 4.71 minutes.

-Don't worry it's been already verified by myself .

Answer:

The maximum temperature will be of 85 degrees, on July 15.

Step-by-step explanation:

Sine function:

The sine function oscilates between -1 and 1, and it's maximum value is:

[tex]\sin{(\frac{\pi}{2})} = 1[/tex]

y=60+25sin(pi/6)t

The maximum value will occur when [tex]\sin{(\frac{\pi t}{6}}) = 1[/tex], and it will be of 60 + 25 = 85 degrees.

When will it occur?

First we find the value of t for which the value inside the function sine is [tex]\frac{\pi}{2}[/tex]. So

[tex]\frac{\pi t}{6} = \frac{\pi}{2}[/tex]

[tex]\frac{t}{6} = \frac{1}{2}[/tex]

[tex]2t = 6[/tex]

[tex]t = \frac{6}{2} = 3[/tex]

That is the number of months after April 15, which is 3 months. So July 15.

Answer:

$500

Step-by-step explanation:

1000x.05=50 per year

50/year x 10 years =500

A. 2(3x-5)²

Step-by-step explanation:

18x² - 60x + 50

= 2 (9x² - 30x + 25 )  ⇒⇒⇒ take 2 as common from all terms

note: 9x² = 3x * 3x and 25 = 5*5 and

 3x * 5 *2 = 30x

so, this is a complete square

= 2(3x-5)(3x-5)

= 2(3x-5)²

Answer:

16.989

Step-by-step explanation:

Cosine angle = adjacent/ hypnosis

Cos 28 = 15/x  Multiply both sides by x

xCos 28 = 15x/x   x/x is 1

xCos 28 = 15(1)  Divide both sides by Cos 28

xCos 28/Cos 28 = 15 / Cos 28   Cos 28 / Cos 28 = 1

x = 15/Cos 28

x = 16.989

Answer:

G. y=2x-5

Step-by-step explanation:

First, find the slope from 2x-y=-3

-y=-2x-3

y=2x+3, which means that the slope is 2

Since it is parallel, the given equation and the line we are finding has the same slope.

let y=mx+b, where m=2, y=5, x=5

5=2(5)+b

5=10+b

-5=b

Thus, y=2x-5

Answer:

F Y=1x+5 G Y=2x-5 H Y =x-3 J Y=2x+5

Answer:

10.15

Step-by-step explanation:

I divided the worth of clothe and the tax

Answer:

35 words per minute

Step-by-step explanation:

210/6=35

Answer:

2.04

Step-by-step explanation:

Equation: 6.05n=12.4=

Answer:

n = 6.35

Step-by-step explanation:

Okay, so this is a basic algebraic expression, so you'd set it up like:

n + 6.05 =  12.4

And now you have to do the inverse operations thing:

12.4 - 6.05 = 6.35‬

So, n = 6.35

hope this helps:)

Answer: The answer is C

Answer:

2 hours

Step-by-step explanation:

2,4,6,8,10,&12

1, 2,3, 4, 5, &6

Hope this helps :)

Answer:

35 students

Step-by-step explanation:

khan

Answer:

y = 15°

∠A = 78°

∠B = 68°

∠BAC = 34°

Step-by-step explanation:

∠BAC = 180° - 146° = 34°

the sum of the interior angles of any triangle is 180°

5y + 3 + 4y + 8 + 34° = 180°

combine like terms:

9y + 45° = 180°

subtract 45° from each side of the equation:

9y = 135°

divide both sides by 9:

y = 15°

∠A = 5(15) + 3 = 78°

∠B = 4(15) + 8 = 68°

Answer:

1 ..................or 1/1

Answer:

-1 is the slope

..................

Answer: 7

Step-by-step explanation:

We know that the ratio adults: children must be 1:8.

So if there are 58 children the ration is x: 56

56/8 (to find the number of adults) = 7

7:56 = 1:8

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

Answer:

a) σ  =  4933,64

b) CI 99%  = ( - 5746  ;  7194 )

c) No difference in brands

Step-by-step explanation:

Brand 1:

n₁   =  8

x₁   = 38222

s₁   = 4974

Brand 2:

n₂  = 8

x₂  = 37498

s₂  = 4893

As n₁  =  n₂  = 8       Small sample  we work with t -student table

degree of freedom      df  = n₁  +  n₂  - 2    df = 8 +8 -2  df = 14

CI = 99 %   CI  =  0,99

From  t-student table we find   t(c)  = 2,624

CI  =   (  x₁  -  x₂ ) ±  t(c) * √σ²/n₁   +  σ²/n₂

σ² = [( n₁  -  1 ) *s₁² +  ( n₂  -  1  ) * s₂² ] / n₁ +n₂ -2

σ² = 7* (4974)² + 7*( 4893)² / 14

σ² = 24340783       σ  =  4933,64

√ σ²/n₁  +  σ²/n₂     =  √ 24340783/8   +  24340783/8

√ σ²/n₁  +  σ²/n₂     =  2466

CI 99%  =  (  x₁  -  x₂ ) ± 2,624* 2466

CI 99%  =   724  ± 6470

CI 99%  = ( - 5746  ;  7194 )

As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups