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3 years ago

7

Write the following set in roster form and in set-builder notation.

1 answer:

expeople1 [14]3 years ago

7 0

Assuming that by greater you mean strictly greater :

Roster form : $P=(-1,0,1,2)$

Set builder notation : $P=\{z\in\Bbb{Z}\mid-2$

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A baseball team has won 8 out of the first 20 games and has 40 games remaining. The team needs a winning percentage of 62.5% mak

Korvikt [17]

They’ve already played 20 games and there are 40 remaining, so 60 total games.
80 * .625 = 37.5, so they need to win at least 38 games to make the playoffs. So they must win 30 more games. If they do so they’ll have won 38 out of 60. Winning 2 games out of 5 in the playoffs means their total is 40 out of 65. 40/65 = .6153 = 61.5%.

3 0

4 years ago

Explain the differences between properties of equality

Arisa [49]

Step-by-step explanation:

step 1. properties of equality have an "=" in the equation.

step 2. properties of inequality have a <, <=, >=, or a >.

8 0

3 years ago

Functionally important traits in animals tend to vary little from one individual to the next within populations, possibly becaus

Jet001 [13]

Answer:

The 95% confidence interval for the standard deviation is (0.14, 0.54).

Step-by-step explanation:

The complete data and question is:

Sloth CW Ratios ; {1.5 , 1.09 , 0.98 , 1.42 , 1.49 , 1.25}

The 95% confidence interval for the standard deviation of this data is < σ < (two decimals - include the leading zero) .

Solution:

Compute the sample standard deviation as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{6}\times 7.73=1.2883\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{6-1}\times 0.2387}=0.2185$

The (1 - <em>α</em>)% confidence interval for the variance is:

$CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}$

Confidence level = 95%

⇒ α = 0.05

The degrees of freedom is,

df = n - 1 = 6 - 1 = 5

Compute the critical values of Chi-square:

$\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.025,5}=12.833\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{0.975,5}=0.831$

*Use a Chi-square table.

Compute the 95% confidence interval for the variance as follows:

$CI=\frac{(n-1)s^{2}}{\chi^{2}_{\alpha/2}}$

$=\frac{5\times (0.2185)^{2}}{12.833}$

Thus, the 95% confidence interval for the standard deviation is (0.14, 0.54).

8 0

4 years ago

a cylinder has a height of 19 feet. the volume is 3,818.24 cubic feet. what is the radius of the cylinder? use π ≈ 3.14

Bezzdna [24]

Answer:

The correct answer is radius = 7.998 ft

6 0

3 years ago

4(x-2)=2(2x+6) <br><br> [?]x=[ ]=[ ]+[ ]

posledela

Answer:

4x - 8 = 4x + 12

Step-by-step explanation:

$4(x - 2) = 2(2x + 6) \\ 4x - 8 = 4x + 12$

6 0

3 years ago