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Valentin [98]
3 years ago
14

Anja is substituting t=5 and t=9 to determine if the two expressions are equivalent. 4(2t-5) 10t-38 Which statement is true?

Mathematics
2 answers:
Lorico [155]3 years ago
8 0
The answer is C because when t=9, the equations are equal, but the expressions themselves are not equal to each other.
Triss [41]3 years ago
6 0

Answer:

Correct option is C

Step-by-step explanation:

Given the two expression

4(2t-5) and (10t-38)

Anja is substituting t=5 and t=9 to determine if the two expressions are equivalent. we have to choose the correct statement.

First exp: 4(2t-5)

Substitute

t=5: 4(2(5)-5)=4(10-5)=20

t=9: 4(2(9)-5)=4(18-5)=4(13)=52

Second exp: 10t-38

t=5: 10(5)-38=50-38=12

t=9: 10(9)-38=52

Both expressions are equivalent when t=9, but the two expressions are not equivalent.

Hence, correct option is C

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The answer is a..and yeah
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3 years ago
9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0
3 years ago
X = 18 is a solution to this equation X + 79 = 98 Question 4 options: True False
deff fn [24]
X+79=98 (subtract 79 to isolate x)
X=19 so it is false
7 0
3 years ago
Read 2 more answers
Add.<br><br> (6x3+3x2−2)+(x3−5x2−3)<br><br> Express the answer in standard form.
sergiy2304 [10]

Answer:

7x^3-2x^2-5

Step-by-step explanation:

We need to add the two terms.

(6x^3+3x^2-2)+(x^3-5x^2-3)

Solving,

Combine the like terms and adding those terms

(6x^3+3x^2-2)+(x^3-5x^2-3)\\=6x^3+3x^2-2+x^3-5x^2-3\\=6x^3+x^3+3x^2-5x^2-2-3\\=7x^3-2x^2-5

So, the answer is:

7x^3-2x^2-5

6 0
4 years ago
Two number cubes are rolled. What is the probability of rolling a sum of 9 or a sum that is even?
Murljashka [212]

Well I don't know !
Let's figure it out together.

Each cube can land in 6 different ways, so the total number
of possible results with two cubes is (6 x 6) = 36 .

Now we need to figure out how many of those 36 possibilities
meet your specifications ... either 9 or any even number.

Ways to make 9 :

3 . . . 6
6 . . . 3
4 . . . 5
5 . . . 4

Four ways to make 9.
____________________________

Ways to make an even number:

1 . . . 1
3 . . . 1
1 . . . 3
2 . . . 2
5 . . . 1
1 . . . 5
6 . . . 2
2 . . . 6
6 . . . 4
4 . . . 6
6 . . . 6

Eleven ways to make an even number.
_____________________

Total number of ways to succeed = (4 + 11) = 15 ways

So the probability of succeeding (rolling 9 or an even number)
is

               15 / 36  =  5 / 12  =  0.41666... =  (41 and 2/3) % .

8 0
4 years ago
Read 2 more answers
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