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4 years ago

What is the probability of rolling a 6 on a dice ?

2 answers:

4 0

There are 6 sides on a die, so there are 6 numbers: 1, 2, 3 ,4 ,5 and 6.
The probability of rolling a 6 would be 1 out of 6 numbers which is written as 1/6.

fiasKO [112]4 years ago

3 0

1/6 chances of rolling a 6 on a di or 16.67%

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What is the log 5x=log (2x+9)

Ray Of Light [21]

5x = 2x + 9, where 5x > 0 and 2x + 9 > 0 ;
Then, 3x = 9 ;
Then, x = 3 ;
Verify : 5 × 3 = 2 × 3 + 9 ;correct !
5 × 3 > 0 ; correct !
2 × 3 + 9 > 0; correct !

8 0

3 years ago

2x^2 -7= 74 please show all work

skad [1K]

$2x^2-7=74\\
2x^2=81\\
x^2=\dfrac{81}{2}\\
x=-\sqrt{\dfrac{81}{2}} \vee x=\sqrt{\dfrac{81}{2}}\\
x=-\dfrac{9}{\sqrt2} \vee x=\dfrac{9}{\sqrt2}}\\
x=-\dfrac{9\sqrt2}{2} \vee x=\dfrac{9\sqrt2}{2}}\\$

8 0

3 years ago

four spheres of radius 6cm just fit inside a cylinder calculate the volume inside the cylinder that is empty leave your answers

Alekssandra [29.7K]

Answer:

The volume inside the cylinder is $1152\pi\ cm^3$ .

Step-by-step explanation:

Given : Four spheres of radius 6 cm just fit inside a cylinder.

To find : Calculate the volume inside the cylinder that is empty ?

Solution :

The volume of the cylinder is volume of 4 spheres.

The volume of sphere is $V=\frac{4}{3}\pi r^3$

The radius is 6 cm.

The volume of four spheres is

$V=4\times \frac{4}{3}\times \pi\times (6)^3$

$V=1152\pi\ cm^3$

Therefore, the volume inside the cylinder is $1152\pi\ cm^3$ .

8 0

3 years ago

Read 2 more answers

Find values for c and d that make h(x) continuous.

rewona [7]

By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.

<h3>How to make a piecewise function continuous</h3>

According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:

2 · x = c · x² + d, for x = 1 (1)

4 · x³ = c · x² + d, for x = 2 (2)

Then, we have the following system of linear equations:

c + d = 2 (1b)

4 · c + d = 32 (2b)

The solution to this system of linear equations is c = 10 and d = -8.

To learn more on piecewise functions: brainly.com/question/12561612

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4 0

2 years ago

Specific gravity will tell you a fraction of how much

Nikolay [14]

The value 0.92 indicates the relative density of the ice.

Data;

Density = 0.92g/ml
Specific gravity = 0.92

<h3>Specific Gravity</h3>

Specific gravity of a substance is defined as the relative density of substance. This can be further said to be the ratio between the density of a substance to the density of the reference substance.

mathematically;

$relative density = \frac{density of substance}{density of reference}$

The value 0.92 indicates the relative density of the ice.

Learn more on specific gravity here;

brainly.com/question/14932758

3 0

2 years ago