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sp2606 [1]
3 years ago
14

QUICK! PLEASE HELP! A spinner has three congruent sections labeled 1, 2, and 3. On the first two spins, the arrow stops on 1 and

then 2. What is the probability that on the third spin the arrow will stop on 3?
A.1
B.2/3
C.1/3
D.0
Mathematics
1 answer:
vova2212 [387]3 years ago
3 0
<span>The third spin is independent, so the probability is B. 1/3.

Hope that helped.

</span>
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The space shuttle travels at 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to rea
spayn [35]

Subtract the distance of the Earth from the sun from the distance of Saturn from the sun to find the distance from Earth to Saturn:

1,424,000,000 - 149,600,000 = 1,274,400,000 km ( Saturn from Earth)

Divide the distance by the speed to find the time:

1,274,400,000 km / 28,000 km per hour = 45,514.2857 hours.

Round to 45,514 hours.

3 0
3 years ago
Solve the equation and graph the solution:<br><br>24 + 6k &lt; -6(-4-k) <br>​
34kurt

Answer:

no solution

Step-by-step explanation:

24 + 6k < -6(-4-k)

Distribute

24+6k< 24 +6k

Subtract 6k from each side

24 < 24

This is never true so there are no solutions

7 0
3 years ago
Danielle's text messaging plan costs $14 for the first 500 messages and 10¢ for each additional text message. If she owes $27.70
sasho [114]

27.7-14=Cost above 500 msg

13.7=C

E=number of Extra messages sent

C=0.1E

13.7/0.1=E

137=E

Total messages=T

T=500+E

T=500+137

T=637

Danielle sent 637 messages in September

4 0
3 years ago
Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t
Bezzdna [24]

Given a polynomial p(x) and a point x_0, we have that

p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

(x+4)(x)(x-5) = x(x+4)(x-5)

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}

To fix the correct value for a, we impose f(4)=96:

f(4) = 4a(4+4)(4-5) = -32a = 96

And so we must impose

-32a=96 \iff a = -\dfrac{96}{32} = -3

So, the function we're looking for is

f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x

4 0
3 years ago
What is the volume of the square-based pyramid?
grandymaker [24]

Answer:

Volume of square-based pyramid = 96 in³

Step-by-step explanation:

Given:

Base side of square = 6 inch

Height of pyramid = 8 inch

Find:

Volume of square-based pyramid

Computation:

Area of square base = Side x Side

Area of square base = 6 x 6

Area of square base = 36 in²

Volume of square-based pyramid = (1/3)(A)(h)

Volume of square-based pyramid = (1/3)(36)(8)

Volume of square-based pyramid = (1/3)(36)(8)

Volume of square-based pyramid = (12)(8)

Volume of square-based pyramid = 96 in³

6 0
3 years ago
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