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Slav-nsk [51]
3 years ago
9

144 employees is 9% of how many employees

Mathematics
2 answers:
Alex73 [517]3 years ago
8 0
Correct answer is 1,600
RoseWind [281]3 years ago
5 0
12.96.............................................................
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Consider a sample with six observations of 15, 16, 12, 8, 6, and 9. Compute the z-scores for each sample observation.
grin007 [14]

Answer:

1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5

Step-by-step explanation:

Given the sample observations : 15, 16, 12, 8, 6, 9

Zscore for each sample Observation :

Zscore = (x - mean) / standard deviation

(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11

Mean value (m) = 11

Standard deviation (s) = 5

Sqrt[(x - m)^2 / (n - 1)]

[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)

= 80/5 = 16

Sqrt(16) = 4

Zscore = (x - mean) / standard deviation

x = 15

Zscore = (15 - 11) / 4 = 1

x = 16

Zscore = (16 - 11) / 4 = 1.25

x = 12

Zscore = (12 - 11) / 4 = 0.25

x = 8

Zscore = (8 - 11) / 4 = - 0.75

x = 6

Zscore = (6 - 11) / 4 = - 1.25

x = 9

Zscore = (9 - 11) / 4 = - 0.5

4 0
3 years ago
Suppose it is known from large amounts of historical data that X, the number of cars that arrive at a specific intersection duri
Andrew [12]

Answer:

a) P(x>8) = 0.3937

b)  P(x = 2) =0.04661

Step-by-step explanation:

a) From to find the probabilty that in this specific time period, more than 8 cars arrive at the intesection, we use the probability function thus

P(x>8) = 1 - P(x≤8),  Cause you can use the complement for calculate this probability , then:

P(x≤8) = \frac{e^{-6}*6^{0} }{0!}+\frac{e^{-6}*6^{1} }{1!}+\frac{e^{-6}*6^{2} }{2!}+... , until x= 8, then you obtain:

P(x≤8)=0.6063 and

P(x>8) = 1 - P(x≤8)= 1-0.6063 = 0.3937

b) P(x=2)= \frac{e^{-6}*6^{2}  }{2!}

 P(x = 2) =0.04661

3 0
3 years ago
Ben is making salsa.He needs 1/3 cups of chilies for each bach of salsa.Ben has 5/6 cup green chilies.How many baches of salsa c
FromTheMoon [43]

Answer:

The number of batches Ben can make with 5/6 cup of green chilies is 2\frac{1}{2} batches of salsa.

Step-by-step explanation:

From the question,

Ben needs 1/3 cups of chilies for a batch of salsa.

To determine how many batches of salsa he can make with 5/6 cup of green chilies,

Let the number of batches Ben can make with 5/6 cup of green chilies be x.

Now,

If 1/3 cups of green chilies is needed for 1 batch,

Then, 5/6 cups of green chilies will make x batches

1/3 × x = 5/6 × 1

x = 5/6 ÷ 1/3

x = \frac{5}{6} \div \frac{1}{3}

x = \frac{5}{6} \times \frac{3}{1}

x = \frac{15}{6}

x = \frac{5}{2}

x = 2\frac{1}{2}

Hence, the number of batches Ben can make with 5/6 cup of green chilies is 2\frac{1}{2} batches of salsa.

5 0
3 years ago
Please help me with this question (bottom question)
Sliva [168]
This is another one for the "impossible geometry question" file.

Answering the last question first, the sum of exterior angles of any convex polygon is 360°.

This fact tells us that the sum of interior angles is 10*180° - 360° = 1440°. Without additional information, we do not know the measure of each interior or exterior angle.


If we assume all angles are equal, then
  Each interior = 1440°/10 = 144°
  Each exterior = 180° -144° = 36°
8 0
3 years ago
A cylindrical candle has a radius 1.5 in and a height of 4 in what is the volume of the candle in cubic inches in cubic centimet
Semenov [28]
The formula for the volume of a cylinder is:

V = \pi r^{2} h

r is the length of the radius and h is the height.  Plug in the given values:

V = \pi *(1.5)^{2}* 4 \\ V = \pi *2.25*4 \\ V = \pi *9 \\ V \approx 28.2743338823

To the nearest hundredth, the volume is 28.27 in³.
3 0
4 years ago
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