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Alex Ar [27]
3 years ago
15

HELP PLSSSSSS. NEED THIS LAST QUESTION

Mathematics
2 answers:
Masteriza [31]3 years ago
7 0

Answer:

D.

Step-by-step explanation:

UNO [17]3 years ago
4 0
The answer is D that problem is set up the right way with the correct data
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A manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs
Hitman42 [59]

Answer:

Step-by-step explanation:

Let X be the solvent present

Then given that the manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent.

X is N(101.3, 3.68)

a) P(X>100) = P(Z>\frac{100-101.3}{3.68} =P(Z>-0.35)\\=0.6368

Probability = 0.6368

b) P(X>100)= 0.97 means Z score = 1.88

X=100+1.88(s) =101.3

s=1.3/1.88=0.6914

4 0
3 years ago
-37 4/5 divided by 4/5
AlladinOne [14]

Answer:

Step-by-step explanation:

-47.25

5 0
2 years ago
Read 2 more answers
Jill weighs 120 pounds and is gaining ten pounds each month. Paris weighs 150 pounds and is gaining 4 pounds each month. How man
lyudmila [28]

Answer:

5 months

Step-by-step explanation:

To solve this problem, we need to create and algebraic equation for when Jill's weight will be equal to Paris's. If we take their current weight and then add the additional weight gain per month times the number of months, we can calculate the amount of time it will take for their weight to be equal by solving for m.

120+10m=150+4m\\10m-4m=150-120\\6m=30\\m=5

8 0
3 years ago
What is the nth term rule of the quadratic sequence below?
Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

<u>Given sequence</u>:

6, 20, 40, 66, 98, 136, ...

Calculate the <u>first differences</u> between the terms:

6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136

As the first differences are not the same, calculate the <u>second differences:</u>

14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38

As the <u>second differences are the same</u>, the sequence is quadratic and will contain an n² term.

The <u>coefficient</u> of the n² term is <u>half of the second difference</u>.

Therefore, the n² term is:  3n²

Compare 3n² with the given sequence:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

The second operations are different, therefore calculate the differences <em>between</em> the second operations:

3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18

As the differences are the same, we need to add 5n as the second operation:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2  +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2  &-2  & -2  \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0
1 year ago
Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2
nikitadnepr [17]

The equation that matches the given situation is -2\frac{1}{2}+6\frac{3}{4}=? . So, after two moves, Eric's elevation changed 4\frac{1}{4} meters above.

We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down 2\frac{1}{2} meters. So we can write -2\frac{1}{2}.

Again Eric climbed straight up 6\frac{3}{4} meters. So, we can write 6\frac{3}{4}.

Then the change = -2\frac{1}{2}+6\frac{3}{4}

=-\frac{(2*2+1)}{2}+\frac{6*4+3}{4}

=-\frac{5}{2} +\frac{27}{4}

=\frac{-(5*2)+27}{4}

=\frac{-10+27}{4}

=\frac{17}{4}

=\frac{4*4+1}{4}

=4\frac{1}{4}

Therefore, the equation that matches the given situation is -2\frac{1}{2}+6\frac{3}{4}=? . So, after two moves, Eric's elevation changed 4\frac{1}{4} meters above.

Learn more about subtraction here -

brainly.com/question/24116578

#SPJ10

7 0
2 years ago
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