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Ann [662]
2 years ago
11

Put the given function into vertex form. Fill in the blanks to complete the function below.

Mathematics
1 answer:
vovangra [49]2 years ago
6 0
I’m sorry if this isn’t much help but i think it’s: Y=(x+3)2−22
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The sum of 5 and the twice a number is at most 27
LiRa [457]

If you are looking to write an inequality equation that models this situation, then the answer would be: 5+2x\leq 27.  The "at most" signals to use the less than or equal to sign.

3 0
3 years ago
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?.
tino4ka555 [31]

The probability that the cube never lands on 3 is (D) 23.3%.

<h3>What is probability?</h3>
  • A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.

To find the probability that the cube never lands on 3:

Given -

  • Number cube toss = 8

Required

  • Probability of not landing on 3.

First, we need to get the probability of landing on 3 in a single toss.

For a number cube,

  • n(3) = 1 and n(total) = 6

So, the probability is P(3) = 1/6

First, we need to get the probability of not landing on 3 in a single toss.

Opposite probability = 1.

  • So, P(3) = P(3') = 1.

Make P(3') the subject of the formula.

  • P(3') = 1 - P(3)
  • P(3') = 1 - 1/6
  • P(3') = 5/6

In 8 toss, the required probability is (P(3'))⁸

This gives:

  • P = (5/6)⁸
  • P = 390625/1679616
  • P = 0.23256803936

Approximate to 1 decimal place, P = 23.3%.

Therefore, the probability that the cube never lands on 3 is (D) 23.3%.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The correct question is given below:
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?

A. 6.0%

B. 10.4%

C. 16.7%

D. 23.3%

5 0
1 year ago
What is a rounded number to 37.510
TiliK225 [7]
To round it to the nearest unit it would be 38. To round it to the nearest ten it would be 40.
3 0
3 years ago
Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The paraboloid z = 6x2 + y2 and the
LenKa [72]

Answer:

\mathbf{r^{\to} (t) = ti^{\to} + 5t^2^{\to} j+(6t^2 + 25t^4) k ^{\to}}

Step-by-step explanation:

Given that:

The paraboloid surface z = 6x² + y² and the parabolic cylinder y = 5x²

Let assume that:

x = t

then from y = 5x², we have:

y = 5t²

Now replace y = 5t² and x = t into z = 6x² + y²

z = 6t² + (5t²)²

z = 6t² + 25t⁴

Hence, the curve of intersection is illustrated by the set of equations:

x = t, y = 5t², and z = 6t² + 25t⁴

As a vector equation:

\mathbf{r^{\to} (t) = ti^{\to} + 5t^2^{\to} j+(6t^2 + 25t^4) k ^{\to}}

6 0
2 years ago
What is the difference, if any, between a correlation statement and a causation statement?
kodGreya [7K]

Answer: the answer should be 4

7 0
2 years ago
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