1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
seraphim [82]
2 years ago
8

What is the probability that a standard number cube will show a two, five, or six when it is rolled?

Mathematics
1 answer:
tia_tia [17]2 years ago
6 0

Answer:

p=0.5

Step-by-step explanation:

A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50

You might be interested in
Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,
torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

y=6x^2+14x

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

\frac{dy}{dx}=12x+14

We know that length of curve

s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx

We have a=-2 and b=1

Using the formula

Length of curve=s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

dt=12dx

dx=\frac{1}{12}dt

Length of curve=s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt

We know that

\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C

By using the formula

Length of curve=s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})

Length of curve=s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})

Length of curve=s=32.66

5 0
2 years ago
What’s the ordered pairs of <br> y = 10x + 18? The image is down below.
kompoz [17]
Okay 2
Really
4
During
32
Square
67
3 0
3 years ago
Read 2 more answers
Please answer this thanks
olganol [36]

Answer:

It's C! 75%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
We need to attach a support wire to Glendale's flagpole, which is 24 feet high. The
antoniya [11.8K]

Step-by-step explanation:

this creates a right-angled triangle.

the right angle (90°) being the angle between flag pole and ground.

the angle ground-wire is 50°.

because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is

180 - 90 - 50 = 40°

so, we have the situation to know 1 side and all angles.

to get the other sides we use best the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and related angles are always opposite of each other.

in our case now we have

24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft

so, the rounded answer is that the wire must be

31.3 ft long

4 0
2 years ago
Solve this equation 4log√x - log 3x =log x^2​
ruslelena [56]

Answer:

x =  \frac{1}{3}

Step-by-step explanation:

*Move terms to the left and set equal to zero:

4㏒(√x) - ㏒(3x) - ㏒(x²) = 0

*simplify each term:

㏒(x²) - ㏒(3x) - ㏒(x²)

㏒(x²÷x²) -㏒(3x)

㏒(x²÷x² / 3x)

*cancel common factor x²:

㏒(\frac{1}{3x})

*rewrite to solve for x :

10⁰ = \frac{1}{3x}

1 = \frac{1}{3x}

1 · x = \frac{1}{3x} · x

1x = \frac{1}{3}

*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:

x = \frac{1}{3}

5 0
2 years ago
Other questions:
  • Bill brought 2 1/3 boxes of carrot muffins for a bake sale. mike brought 1 3/4 boxes of apple muffins. what is the total number
    5·2 answers
  • PLEASE I NEED HELP ASAP ITS ALMOST DUE
    10·1 answer
  • Does the density of an iron bar depend on the length of the bar
    15·1 answer
  • A story is giving away a $10 coupon to every seventh person to enter the store and a $25 coupon to every 18 person to enter the
    6·1 answer
  • Year
    7·1 answer
  • Given that €1 =£0.72<br> How much is €410 in £?<br> What is the £ to € exchange rate?
    8·1 answer
  • On question 33 I don’t understand how to apply the multiplication for ‘(3s)3’ when s=4 and t=8
    7·2 answers
  • Do you find this with synthetic and long divison?
    12·1 answer
  • Graph each function using a table of values, then identify its key characteristics.
    6·1 answer
  • Ez points
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!