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3 years ago

Find the measure of angle u given that p||q

Mathematics

2 answers:

Gnoma [55]3 years ago

8 0

Answer:

u = 32°

Step-by-step explanation:

Since p║q then angle u and angle y are corresponding angles meaning the equal each other.

Olin [163]3 years ago

3 0

Answer:

∠u = 32°

Step-by-step explanation:

∠u = ∠y = 32° because they are corresponding congruent mangles

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In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient sk

RUDIKE [14]

Answer:

a) The third quartile Q₃ = 56.45

b) Variance $\mathbf{ \sigma^2 =2633.31}$

Step-by-step explanation:

Given that :

$Q_1$ = 30.8

Median $Q_2$ = 48.5

Mean = 42

a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :

$SK = \dfrac{Q_3+Q_1-2Q_2}{Q_3-Q_1}$

$-0.38 = \dfrac{Q_3+30.8-2(48.5)}{Q_3-30.8}$

$-0.38Q_3 + 11.704 = Q_3 +30.8 - 97$

$1.38Q_3 = 77.904$

Divide both sides by 1.38

$Q_3 = 56.45$

b) The objective here is to determine the approximate value of the variance;

Using the relation

$SK_p = \dfrac{Mean- (3*Median-2 *Mean) }{\sigma}$

$-0.38= \dfrac{42- (3 *48.5-2*42) }{\sigma}$

$-0.38= \dfrac{(-19.5) }{\sigma}$

$-0.38* \sigma = {(-19.5) }{}$

$\sigma =\dfrac {(-19.5) }{-0.38 }$

$\sigma =51.32$

Variance = $\sigma^2 =51.32^2$

$\mathbf{ \sigma^2 =2633.31}$

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3 years ago

A pudding recipe makes 4 1/2 cups of pudding. How many 1/3 cup servings does this equal?

vodomira [7]

4 1/2 cups = 9/2 cups

9/2 / 1/3=

9/2 * 3/1 = 27/2 = 13 1/2 servings at 1/3 cup each

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castortr0y [4]

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Answer:

Step-by-step explanation:

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vovangra [49]

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Can some please help me with this question I don't understand

slava [35]

The volume would be 124,000m2 or (1.24 x 10^2).

Step by Step:

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3 years ago