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3 years ago

Please help me with this

Mathematics

1 answer:

Blizzard [7]3 years ago

8 0

Answer:

Below, and I hope that this helps you.

Step-by-step explanation:

So you see that it says Find the probability that the sum on the <u>two dice is 4 given that the sum is even. </u>So that means that it would be 2 dices that have rolled a 4 and the equation would be 2×4= 8, So that means that you want to write the answer which is 8 in a fraction, and 8 in a fraction is 8/1

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An author signed copies of her newest book for 57 minutes until the bookstore closed at 5:00 What time did the author begin sign

maks197457 [2]

Answer:

4:03

Step-by-step explanation:

8 0

3 years ago

Side AB is 18, Side AC is 9, Side BC is 5. Find the SinA. Give your answer in fraction and decimal form.

Sladkaya [172]

Input data

In any right triangle, the sine of an angle x is the length of the opposite side (O) divided by the length of the hypotenuse (H). In a formula, it is written as 'sin' without the 'e':

$\begin{gathered} \sin A=\frac{5}{18} \\ \sin A=0.277 \end{gathered}$

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1 year ago

Calculate the total area of the shaded region.

LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

$\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}$

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

$\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill$

$\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}$

7 0

2 years ago

Car A used 40.5 L of gasoline to travel 450 km. Car B used 18.7 L to travel 220 km. Circle the car with better fuel mileage. Jus

kvasek [131]

Answer:

Car B has the better fuel economy.

Step-by-step explanation:

Calculate the fuel consumption for the two cars:

Car A: (450 km) / (40.5 L) = 1.11 km per L

Car B: (220 km) / (18.7 L) = 1.18 km per L

Car B goes further on one L of gasoline than Car A.

3 0

3 years ago

The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the

LekaFEV [45]

Answer:

56 = 56

Step-by-step explanation:

Given:

Bus fare = $2.00

coupon book = 28.00

bus fare w/ coupon book = $1.00

let x be the number of bus rides.

2.00x = 1.00x + 28.00

2.00x - 1.00x = 28.00

1x = 28.00

x = 28.00

24 bus rides for both to have the same cost.

2.00x = 1.00x + 28

2.00(28) = 1.00(28) + 28

56 = 28 + 28

56 = 56

4 0

3 years ago