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3 years ago

What times 27equals 216

2 answers:

8 0

27*8=218 simple. if yo don't have a calculator then I can show you an easier way. divide 216 by 27 and see what you get....

svlad2 [7]3 years ago

3 0

27 time 8 equals 216
...
216 divided by 27 equals 8

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A grocery store sells a bag of 7 oranges for $2.80. What is the unit cost?

Elanso [62]

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .

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6 0

3 years ago

Read 2 more answers

Consider the probability that greater than 90 out of 149 software users will not call technical support. Assume the probability

Artemon [7]

Answer:

0.1220

Step-by-step explanation:

You want the probability that greater than 90 out of 149 software users will not call tech support, given that the probability a given user will not call is 56%. You want the value using the normal approximation to the binomial distribution.

<h3>Normal approximation</h3>

For a sample size of n, and probability p of "success", the normal approximation to the binomial distribution can be used if ...

min(pn, (1-p)n) > 5

Here, that is ...

min(0.56·149, 0.44·149) > 5

65.6 > 5 . . . . . . . . true, the normal approximation is appropriate

Then the parameters of the normal distribution are ...

µ = pn = 0.56·149 = 83.44

σ = √((1-p)µ) = √(0.44·83.44) ≈ 6.0592

<h3>Continuity correction factor</h3>

The probability that X = N will occur can be considered to be ...

P(N -0.5 < X < N +0.5)

Then the probability that X > N will be modeled using the normal distribution as ...

P(X > N +0.5)

For this problem, we want ...

P(X > 90.5) . . . . using the normal distribution with µ = 83.44, σ = 6.0592

The attached calculator shows that value to be ...

P(>90) ≈ 0.1220 . . . . . . rounded to 4 decimal places

<em>Additional comment</em>

A probability calculator says the actual binomial distribution result for this problem is 0.1217.

7 0

1 year ago

. Marcy has a 70% average in her class going into the final exam. She says "I need to get a 100% on this final so I can raise my

Simora [160]

Answer:

Yes

Step-by-step explanation:

4 0

3 years ago

If p is parallel to q, which pair of angles must be congruent?

Veseljchak [2.6K]

Vertical angles are congruent whether the lines are parallel or not.
Corresponding angles are congruent.
Alternate interior and alternate exterior angles are congruent.
1 & 4, 2 & 3, 3 & 6, 4 & 5, 1 & 8, 2 & 7, 5 & 8, 6 & 7, 3 & 7, 1 & 5, 2 & 6, 4 & 8
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5 0

3 years ago

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Inequality and solution

larisa [96]

I hope this helps you

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8 0

3 years ago

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