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vagabundo [1.1K]
3 years ago
15

3 times 3 times 3 equals using and exponents

Mathematics
2 answers:
kati45 [8]3 years ago
8 0
a \times a \times a = a^3\\\\\boxed{3\times 3\times 3 = 3^3}
Maurinko [17]3 years ago
4 0
That answer is 3^3 for 3 times 3 times 3

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Write an expression and then solve.​
Iteru [2.4K]

An expression that represents how the four friends would split a bill of ’x’ dollars is: x/4

If their total bill was $124.00:

124/4 = 31

Each friend should pay $31.00

4 0
2 years ago
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A university financial aid office polled a random sample of 670 male undergraduate students and 617 female undergraduate student
ahrayia [7]

Answer:

The 90% confidence interval for the difference between the proportions of male and female students who were employed during the summer is (0.01, 0.1012).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Male undergraduates:

670, 388 were employed. So

p_M = \frac{388}{670} = 0.5791

s_M = \sqrt{\frac{0.5791*0.4209}{670}} = 0.0191

Female undergraduates:

Of 617, 323 were employed. So

p_F = \frac{323}{617} = 0.5235

s_F = \sqrt{\frac{0.5235*0.4765}{617}} = 0.0201

Distribution of the difference:

p = p_M - p_F = 0.5791 - 0.5235 = 0.0556

s = sqrt{s_M^2+s_F^2} = \sqrt{0.0201^2 + 0.0191^2} = 0.0277

Confidence interval:

The confidence interval is given by:

p \pm zs

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower bound of the interval is:

p - zs = 0.0556 - 1.645*0.0277 = 0.01

The upper bound of the interval is:

p + zs = 0.0556 + 1.645*0.0277 = 0.1012

The 90% confidence interval for the difference between the proportions of male and female students who were employed during the summer is (0.01, 0.1012).

5 0
3 years ago
I need help solving this anyone?
Lelechka [254]

9514 1404 393

Answer:

  • x = 108
  • y = 72
  • z = 18

Step-by-step explanation:

The angles of a linear pair are supplementary. That is, they total 180°. The angle marked x° and the one marked 72° are a linear pair:

  x° +72° = 180°

  x = 180 -72 = 108 . . . . . . . divide by °, subtract 72

__

Vertical angles are congruent. Angles y° and 72° are vertical angles, so ...

  y = 72

__

Angles z° and 72° together make a right, which has a measure of 90°.

  z° +72° = 90°

  z = 90 -72 = 18 . . . . . . . divide by °, subtract 72

__

  (x, y, z) = (108, 72, 18)

_____

<em>Additional comment</em>

Angles 72° and x° form a linear pair, as do angles x° and y°. That is, angles 72° and y° are both supplementary to angle x°. Angles that are supplementary to the same angle are congruent. This will be the case for any vertical angles: they are supplementary to the same angle.

4 0
2 years ago
Two-fifths of the sum of 3 and y
svet-max [94.6K]

Answer:

\frac{2}{5}(3 + y)

Step-by-step explanation:

8 0
3 years ago
. Emma is making bracelets for her friends. She noticed that 12 out of 20 of her beads are red. What decimal is equivalent to th
jeka94

Answer:

0.6

Step-by-step explanation:

12/20 = 6/10 = 0.6

7 0
3 years ago
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