Kieran enters four events in an athletics
competition. The probability of him winning each
of the events is shown below.
Order the probabilities from least likely to most
likely.
100 m
Long jump
Discus
Hurdles
2
0.46
²3
23%
3
10
5

The probability that the Geometry textbook will be first from the left and the Chemistry textbook will be second from the left is 1/30

The distribution of the books is:

Spanish, English, Chemistry, Geometry, History, and Psychology

The probability of choosing a Geometry book is:

P(G) = 1/6

Now, there are 5 books left.

The probability of choosing a Chemistry book is:

P(C) = 1/5

The required probability is:

P = 1/6 * 1/5

Evaluate

P = 1/30

Hence, the probability is 1/30

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Answer:

Step-by-step explanation:

(0, 2) (2, 0)

(0-2)/(2-0)= -2/2= -1

y - 2 = -(x - 0)

y - 2 = -x + 0

y = -x + 2

Answer:

[tex]P = 8\pi[/tex]

Step-by-step explanation:

To solve this problem, we must calculate the circumference of one circle and multiply it by two because there are 2 circles (4 halves), that make up the perimeter.

We know the diameter is 4m, thus, the circumference of one circle (two halves) is:

[tex]C_1 = \pi d\\C_1 = \pi 4[/tex]

To get the total perimeter (circumference) multiply the result by 2:

[tex]C = C \times 2\\C = 4\pi \times 2\\C = 8\pi[/tex]

Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.

I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.

Hope this helps!

Answer:

red marbel

[tex] = \frac{3}{13} [/tex]

green marbel

[tex] = \frac{9}{26} [/tex]

Step-by-step explanation:

for the red marbel you first add all the number of balls given and the total is 26 then you take the number of red marbels dividing the total number of all the balls and if you are able to cancel out you can and there you get your answer same applies to the green marbel

Answer:

Step-by-step explanation:

1) Combine like terms.

⇒ (3x + 2x) ( x - 5 )

⇒ (5x) ( x - 5 )

2) Distribute.

⇒ 5x ( x - 5 )

⇒ 5x² - 25x

we know the angle is between 90° and 180°, 90° < θ < 180°, that means the angle is in the II Quadrant, where the sine is positive and the cosine is negative, with that info, let's find check a few things

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - 3^2}=a\implies \pm\sqrt{16}=a\implies \pm 4 = a\implies \stackrel{II~Quadrant}{-4=a} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{5}} \\\\\\ tan\left(\cfrac{\theta}{2}\right)\implies \cfrac{sin(\theta)}{1+cos(\theta)}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{1-\frac{4}{5}}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{\frac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{5}{1}\implies 3[/tex]

Answer:

3. 2x+12+3x-7=360

5x+5=360

5x=360-5

x=355/5

x=71

for exterior

2x+12=360

2x=360-12

x=348/2

x=174

Step-by-step explanation:

hope this will help you

Step-by-step explanation:

4:12 there are four vowels and 12 letters?

The area of the rectangle ACEG is the amount of space on it, and the area of square HJFG is 9 square units

The area of a rectangle is:

Area = Length * Width

The area of a square is:

Area = Length * Length

From the question, the given parameters are:

AB =AH = x ;

BC=5;

HG=3

This means that the area of square HJFG is:

Area = HG * HG

Area = 3 * 3

Area = 9

Note that the other areas cannot be calculated because the question is incomplete

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Answer:

[tex]\frac{1}{2}[/tex] , 2 , 4

Step-by-step explanation:

x = - 3 ≠ 2 , then

g(- 3) = [tex]\frac{1}{2}[/tex] × (- 3)² - 4 = [tex]\frac{1}{2}[/tex] × 9 - 4 = [tex]\frac{9}{2}[/tex] - 4 = [tex]\frac{1}{2}[/tex]

x = 2 then g(2) = 2

x = 4 ≠ 2 , then

g(4) = [tex]\frac{1}{2}[/tex] × 4² - 4 = [tex]\frac{1}{2}[/tex] × 16 - 4 = 8 - 4 = 4

Answer:

Q1 = -4, Q2 = 6

Step-by-step explanation:

In this box-and-whisker plot, the first vertical line is the first quartile (-4), the second vertical line is the median (4), and the vertical line is the third quartile (6). The box contains the middle 50% of the data set.

Answer:

NO

Step-by-step explanation:

Because the sum of the minor sides equals the measure of the major side, it must be less.

2 + 4 = 6

Hope this helps

Answer:

A. -1 ≤ x ≤ 3

Step-by-step explanation:

According to the graph, our x-values span from -1 to 3. Since both are closed dot, they are inclusive in the domain:

[-1, 3] or -1 ≤ x ≤ 3

Answer:

37.61 years

Step-by-step explanation:

I am assuming this is compound interest

35 multiplied by 1.04 to the power of 36.86 does not generate enough money.

35 multiplied by 1.04 to the power of 37.61 does.

Answer:

37.61 yrs  

Step-by-step explanation:

FV = future value = 150 000

PV = present value = 35 000

i = decimal interest = .04

annual interest periods = n

 formula    FV = PV ( 1 + i)^n      plug in the values and solve for 'n'

                 150 000 = 35000 ( 1 + .04)^n

                   150000/35000 = (1 + .04)^n      take log of both sides

                       .632 =  n log1.04

                             n = years = 37.105 years

Answer:

44 grams carbohydrates = 176 calories

36 gram of fat = 324 calories

37 gram of protien = 148 calories

44 grams of Carbohydrates = 176 calories

36 grams of Fat = 324 calories

37 grams of Protein = 148 calories

To calculate the number of calories from each macronutrient (carbohydrates, fat, and protein), you need to know the caloric content per gram for each nutrient.

The caloric content per gram is as follows:

- Carbohydrates: 1 gram = 4 calories

- Fat: 1 gram = 9 calories

- Protein: 1 gram = 4 calories

Now, let's calculate the number of calories for each macronutrient in the Wendy's Big Bacon Classic:

1. Carbohydrates:

Calories from Carbohydrates = 44 grams × 4 calories/gram

Calories from Carbohydrates = 176 calories

2. Fat:

Calories from Fat = 36 grams × 9 calories/gram

Calories from Fat = 324 calories

3. Protein:

Calories from Protein = 37 grams × 4 calories/gram

Calories from Protein = 148 calories

In total, the burger would have 176 + 324 + 148 = 648 calories.

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The area of the triangle will be 4.2 square meters.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The height is 2.4 meters and the base is 3.5 meters.

Then the area of the triangle will be

Area = 1/2 x b x h

Then we have

Area = 1/2 x 3.5 x 2.4

Area = 4.2 square meters

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✔ formula: A =  1/2 bh

✔ 3.5

✔ 2.4

✔ multiplying

✔ 4.2

Step-by-step explanation:

Took quiz

Answer: sin(x)=5/11

Step-by-step explanation:

For #7, the hypotenuse is always the longest side of a triangle and in right triangles it's always the side that's opposite the right angle. MO, the side thats 11, is the hypotenuse in this triangle and not the adjacent side which would be NM. Therefore, you need to use sin=opp/hyp and get sin(x)=5/11

The length of time needed for the dough to last if 40 pizzas is required is 4 hours.

let

l = k / p

where,

k = constant of proportionality

If l = 5 and p = 32

l = k / p

5 = k / 32

5 × 32 = k

160 = k

Find l when p = 40

l = k / p

l = 160/40

l = 4 hours

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Answer:

Not Proportional

Step-by-step explanation:

85:42 :: 18:9

85 x 9 = 42 x 18

765     =     776

They are not equal, so they cant be proportional.

Let's examine what the problem gives us:

What does the problem want:

  ⇒ time (in hours)

Must find the relationship between distance, speed, and time:

   ⇒ Distance = Speed * Time

       ⇒  [tex]Time = \frac{Distance}{Speed}[/tex]

Let's convert some units:

               ⇒ let's convert

                  ⇒ [tex]\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr[/tex]

Now let's solve:

   [tex]Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs[/tex]

Answer: 73.33 hrs (estimated)

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:

[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex]     (1)

If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:

[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]

Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)

The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).

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Step-by-step explanation:

ask me if you don't understand

Answer:

131,033.

Step-by-step explanation:

The growth factor is 1 + 0.2 %

= 1 + 0.002 = 1.002.

So in 3 years population

= 130,250(1.002)^3

= 131,033

Answer:

3.14159265359 or simplify it to 3.14...

Answer: 3

Step-by-step explanation:

Answer:

10% maybe

Step-by-step explanation:

because 90% said no and 10% said yes

I hope it helps you