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2 years ago

You roll a standard, six-sided number cube. What is the probability of rolling a prime number or a number greater than 3?

1 answer:

3 0

Answer:
B. 5/6

Answer explained:
Prime numbers include 2, 3, and 5 and all numbers after 3 are 4, 5, 6 so 5 out of 6 or 5/6

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A. 16

kogti [31]

9514 1404 393

Answer:

C. 8√3/3

Step-by-step explanation:

It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...

1 : √3 : 2

That is the short leg is 1/√3 times the length of the longer leg.

8(1/√3) = 8(√3/3) . . . . . matches choice C

6 0

2 years ago

Point S is on line segment RT.Given ST = 2x, and RT = 4x, and RS = 4x – 4,

Lorico [155]

Answer:

Step-by-step explanation:

7 0

3 years ago

A frustum is made by removing a small cone from a similar large cone.Work out the frustum radius of cone=4.5cm radius of frustum

BabaBlast [244]

Answer:

$\sqrt{36 \div \sqrt[3]{27} }$

4 0

2 years ago

Read 2 more answers

[62+(52 -4²) +9]<br> Simplify the expression

tester [92]

Answer:

107 i took the test

3 0

2 years ago

Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = ∇f. (If the ve

djyliett [7]

We're looking for $f(x,y,z)$ such that $\nabla f(x,y,z)=\vec F(x,y,z)$ , which requires

$\dfrac{\partial f}{\partial x}=xyz^2$

$\dfrac{\partial f}{\partial y}=x^9yz^2$

$\dfrac{\partial f}{\partial z}=x^9y^2z$

Integrating both sides of the first PDE wrt $x$ gives

$f(x,y,z)=\dfrac12x^2yz^2+g(y,z)$

Differenting this wrt $y$ gives

$\dfrac{\partial f}{\partial y}=x^9yz^2=\dfrac12x^2z^2+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=\dfrac12x^2z^2(2x^7y-1)$

but we're assuming $g(y,z)$ is a function that doesn't depend on $x$ , which is contradicted by this result, and so there is no such $f$ and $\vec F$ is not conservative.

8 0

3 years ago