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VMariaS [17]
3 years ago
12

2. Each letter from the word "MASSACHUSSETT " is written on a separate 20 points

Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer: 4 out of 13

Step-by-step explanation:

Total letters in "MASSACHUSSETT " = 13

Number of S = 4

Probability of an event = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

The probability of selecting the  letter S = \dfrac4{13}  [already in lowest term as gcd(4,13)=1]

Hence, the probability of selecting the  letter S = 4 out of 13.

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. Jacob drives at a rate of 20 miles in 4 hours. What is his unit rate? *
xz_007 [3.2K]

Answer:

5 miles per hour

Step-by-step explanation:

You divide 20 with 4 to get 5

7 0
3 years ago
Which function models the data in the table?
mash [69]

Answer:

(A) f(x) = 2 * 4^{t}

Step-by-step explanation:

[] We can find our answer by plugging the x values into the functions as t and solving.

-. Using this method, starting with the A function, we find that the first function models the data and we do not need to test the others. I still have shown the work for the others as it is good to check your work.

[✓] f(x) = 2 * 4^{t}

(1, 8) }{}{}{ f(x) = 2 * 4^{1} = 2 * 4 = 8

(2, 32) }{}{}{ f(x) = 2 * 4^{2} = 2 * 16 = 32

(3, 128) }{}{}{ f(x) = 2 * 4^{3} = 2 * 64 = 128

-> This pattern continues

[✗] f(x) =  4^{t}

(1, 8) }{}{}{ f(x) = 4^{1}  = 4 ≠ 8

-> This function does not model the data as it does not fulfil the first point

[✗]  f(x) = 4 * 2^{t}

(1, 8) }{}{}{ f(x) =  4 * 2^{1} = 4 * 2 = 8

(2, 32) }{}{}{ f(x) =  4 * 2^{2} = 4 * 4 = 16 ≠ 32

-> This function only models (1, 8) but does not fully model the data

[✗] f(x) =  8^{t}

(1, 8) }{}{}{ f(x) =  8^{1} = 8

(2, 32) }{}{}{ f(x) =    8^{2} = 64 ≠ 32

-> This function only models (1, 8) but does not fully model the data

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
Dwayne wants to buy a bowling ball that has a price of $120. As a member of a bowling league, he is entitled to a 15% discount o
rusak2 [61]
No, because
$120-15%=$102
$102+%6=$108.12

so %6 represents tax
and 15% is his discount

if you were to take away %9 then you would get $109.20
$120-9%=109.20
so Dwayne is incorrect, because $108.12 ( his true final price) isn't equal to $109.20 (the price it would be if it was 9% off)

I hope this helps!
3 0
3 years ago
A $59 sweater is on sale for $40. what percent decrease is this?
wariber [46]

Answer:

32.2033898 % decrease

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

59-40 = 19

Divide by the original amount

19/59 =.322033898

Change to a percent

32.2033898 % decrease

3 0
4 years ago
Factor 15x^3-6x^2-25x+10 by grouping
Lostsunrise [7]

Answer: (5x-2)(3^2-5)

Step-by-step explanation:

So using the commutative property, we can change the equation 15x^3-6x^2-25x+10 into 15x^3-25x -6x^2+10

Let’s split that into two sections so it’s easier to see:

(15x^3-25x) - (6x^2+10)

Next let’s look at what 15x^3 and -25x have in common. They have 5x in common.

Factoring out 5x, we get this: 5x(3^2-5)

Next let’s look at what -6x^2and 10 have in common. They only have 2 in common, so we factor out 2.

2(-3^2+5) we can write this as -2(3^2-5)

So the end result will be : 5x(3^2-5)-2(3^2-5)

And the complete factorization will be (5x-2)(3^2-5)

7 0
3 years ago
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