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Alika [10]
3 years ago
8

A spinner has sections labeled W W , X X , Y Y , and Z Z . The faces of a number cube are labeled 1, 2, 3, 4, 5, and 6. What is

the total number of possible outcomes of 1 spin of the arrow on the spinner and 1 roll of the number cube?
f.10

g.6

h.48

j.24
Mathematics
1 answer:
Kisachek [45]3 years ago
7 0
Total number of sections on the spinner = 4
So there can be 4 outcomes on 1 spin of the arrow on the arrow.

Number of faces of the cube = 6
So there can be 6 outcomes on rolling of the dice.

For each outcome of the spinner, there can be 6 outcomes of rolling a dice. So for 4 outcomes of the spinner, there will be 6 x 4 = 24 outcomes in total.

For example, WW and either of {1,2,3,4,5,6} can occur. This makes folloiwng 6 outcomes: WW1, WW2, WW3, WW4, WW5 and WW6

Same goes for XX (6 outcomes), YY (6 outcomes) and ZZ (6 outcomes)

Thus in total there will be 24 outcomes. 
So option j gives the correct answer
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The product of two consecutive even positive integers is 674 more than the sum of the two integers. Find the integers.
IrinaVladis [17]
2n(2n+2)=2n+2n+2+674\\
4n^2+4n=4n+676\\
4n^2=676\\
n^2=169\\
n=-13 \vee n=13
-13\not\ \textgreater \ 0

n=13\\
2n=26\\
2n+2=28

It's 26 and 28.
7 0
3 years ago
The average distance from the Earth to the Moon is 384400 kilometers. What is this distance written in scientific notation?
garri49 [273]

Answer:

3.844 x 10^5

Step-by-step explanation:

8 0
3 years ago
Identifiy the initial amount a and the decay factor b in the exponential function y=5×0.5^×
xenn [34]

Answer:

a=5\\ \\b=0.5

Step-by-step explanation:

Given the exponential decay function y=5\cdot (0.5)^x

When x=0, then

y=5\cdot (0.5)^0=5\cdot 1=5,

so the initial amount is a=5

The exponential decay function y=a\cdot b^x has the decay factor b.

In your case, the eexponential decay factor is b=0.5

6 0
3 years ago
Did I do my math homework right?
anastassius [24]
Yes you did it correctly but change problem 5’s denominator on the right to a 6
7 0
3 years ago
PLEASE PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!
Oksanka [162]

The answer is Option B (x + 6)(x^2 + 8)

Step-by-step explanation:

Step 1: Group the given cubic polynomial into two sections.  

So  polynomial can be  grouped as

(x^3 + 6x^2) + (8x + 48)

Step 2:Find what's the common in each section.

In section (x^3 + 6x^2)  the come term is x^2

In section (8x + 48)  the come term is 8

Step 3:Factor the commonalities out of the two terms.

Factoring out x^2 from the first section  (x^3 + 6x^2), we get  x^2(x + 6)

Factoring out 8 from the second section(8x + 48) ,  we will get 8(x + 6).

Step 4: Combine the factors together for terms contains the same factor,

Combining we get,\left(x+6\right)\left(x^2+8\right)

\left(x+6\right)\left(x^2+8\right)

7 0
3 years ago
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