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3 years ago

A number cube is rolled twice . What is the probability of getting a 6 on the first roll

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Answer:

1/6 or 0.1666666667%

Step-by-step explanation:

The probability of getting a 6 would be 1/6. There are 5 other sides the die could land on.

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Joey scored 697 points by collecting 17 coins. In all, how many coins does Joey have to collect to score a total of 820 points?

Oksi-84 [34.3K]

Answer:

20 coins

Step-by-step explanation:

697/17 = 41

820/41 = 20 coins

7 0

2 years ago

The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t

Margarita [4]

X(x+18) <= 175
x^2+18x-175 <= 0 
(x+25)(x-7) <= 0 
So, -25 <= x <= 7 
Or, for real-world tables,

6 0

3 years ago

Find all the values of x in the set of complex numbers that satisfy the following equation:

Fynjy0 [20]

Compute all the component integrals first:

$I_1=\displaystyle\int_0^{\pi/4}2\sec x\,\mathrm dx=2\ln(\sqrt2+1)$
$I_2=\displaystyle\int_0^2\ln x\,\mathrm dx=2(\ln2-1)$
$I_3=\displaystyle\lim_{a\to\infty}\int_{-a}^a\frac{\mathrm dx}{x^2+1}=\pi$

Now,

$\sqrt2\approx1.4\implies \sqrt2+1\approx2.4$
$\implies \left\lceil I_1\right\rceil=2$

$e$
$\implies\left\lfloor I_2\right\rfloor=-1$

$\pi\approx3.14\implies\left\lceil I_3\right\rceil=4$

So the given equation reduces to

$\displaystyle\sum_{k=-1}^2\frac{\mathrm d}{\mathrm dx}x^{k+2}=1-4!$
$\dfrac{\mathrm dx}{\mathrm dx}+\dfrac{\mathrm dx^2}{\mathrm dx}+\dfrac{\mathrm dx^3}{\mathrm dx}+\dfrac{\mathrm dx^4}{\mathrm dx}=-23$
$4x^3+3x^2+2x+24=0$

a fairly standard cubic. Incidentally, when $x=-2$ , the LHS reduces to 0, so $x+2$ is a factor of the cubic. You can find the remaining two solutions easily with the quadratic formula.

5 0

2 years ago

Find the reference angle for a rotation of 208º.

blsea [12.9K]

Answer:

I'm not sure the answer but I can tell you how to solve.

Step-by-step explanation:

Identify your initial angle. For this example, we’ll use 440° 2. The angle is larger than a full angle of 360°, so you need to subtract the total angle until it’s small. 440° - 360° = 80° 3.

7 0

2 years ago

A new car dealer offered to sell her demonstrator model for 90% of the retail price.if the sale price was $9,750, what was the r

omeli [17]

The retail price would be $18,525

4 0

2 years ago