875: 100% = 350: x%
875x = 350 * 100
875x = 35000
x = 35000/875
x= 40% - that is the percentage of female members
Which means that the percentage of the members who are male is 60%.

3 0

3 years ago

Graph the ordered pairs for y = 2x + 4 using x={−2, 1, 2}

horsena [70]

0,6,8 matching the order of the way u put the x=

6 0

3 years ago

Points P, Q and R are collinear such that PQ : QR=2:3 point P is located at (1,3) and point R is located at (11,15)

balandron [24]

Using line segments, it is found that:

The coordinates of Q are (5,7.8).

The midpoint of segment PQ is M(6,9).

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Point P is located at (1,3).
Point R is located at (11,15).
Point Q is located at (x,y).
PQ:QR = 2:3, which means that:

$Q - P = \frac{2}{5}(R - P)$

This is used to find the x and y coordinates of Q.

----------------------------

The x-coordinate of P is 1.
The x-coordinate of R is 11.
The x-coordinate of Q is x.

Thus:

$Q - P = \frac{2}{5}(R - P)$

$x - 1 = \frac{2}{5}(11 - 1)$

$x - 1 = \frac{2}{5}10$

$x - 1 = 4$

$x = 5$

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The y-coordinate of P is 3.
The y-coordinate of R is 15.
The y-coordinate of Q is y.

Thus:

$Q - P = \frac{2}{5}(R - P)$

$y - 3 = \frac{2}{5}(15 - 3)$

$y - 3 = \frac{24}{5}$

$y - 3 = 4.8$

$y = 7.8$

The coordinates of Q are (5,7.8).

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The midpoint of segment PQ is the mean of the coordinates, thus:

$M = (\frac{1 + 11}{2}, \frac{3 + 15}{2}) = (\frac{12}{2}, \frac{18}{2}) = (6,9)$

The midpoint of segment PQ is M(6,9).

A similar problem is given at brainly.com/question/24148182

4 0

3 years ago

Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the

aliina [53]

Answer:

Step-by-step explanation:

Let the subscripts n and d represent day and night shifts respectively.

The null hypothesis is

H0 : μn = μd, μn - μd = 0

The alternative hypothesis is

H1 : μn > μd, μn - μd > 0

A) it is a one-tailed and also a right tailed test because of the greater than symbol in the alternative hypothesis.

B)The decision rule is to reject H0: μd ≥ μn If 0.10 > p value

C) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (xn - xd)/√σn²/nn + σd²/nd

Where

xn and xd represents sample means for night and day respectively.

σn and σd represents population standard deviations for night and day respectively.

nn and nd represents number of samples

From the information given,

xn = 341

xd = 336

σn = 25

σd = 19

nn = 61

nd = 56

z = (341 - 336)/√25²/61 + 19²/56

z = 1.22

Test statistic = 1.22

D) From the normal distribution table, the probability value corresponding to the area above the z score is 1 - 0.8888 = 0.1112

Since the level of significance, 0.02 < 0.1112, do not reject H0.

4 0

3 years ago