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Lostsunrise [7]
3 years ago
10

Express 12/16 in eighths

Mathematics
2 answers:
Vinvika [58]3 years ago
8 0

Answer:

6/8

Step-by-step explanation:

If we simply 12/16, we need to divide both numerator and demonstrator by 2:

12/2 = 6

16/2 = 8

6/8

Marysya12 [62]3 years ago
3 0

Answer:

12/16 = 6/8

Step-by-step explanation:

divide both by 2

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The volume of this sphere is 500/3π cubic inches. What is the radius
Anestetic [448]
Volume is 4/3π r^3






500/3 π where is r ????? Please write clearly
4 0
3 years ago
Read 2 more answers
An article reported that for a sample of 52 kitchens with gas cooking appliances monitored during a one-week period, the sample
kolbaska11 [484]

Answer:

a) 654.16-2.01\frac{164.55}{\sqrt{52}}=608.29    

654.16+2.01\frac{164.55}{\sqrt{52}}=700.03    

And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm

b) n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189

Step-by-step explanation:

Part a

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=52-1=51

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,51)".And we see that t_{\alpha/2}=2.01

Replacing we got:

654.16-2.01\frac{164.55}{\sqrt{52}}=608.29    

654.16+2.01\frac{164.55}{\sqrt{52}}=700.03    

And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm

Part b

The margin of error is given by :

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

The desired margin of error is ME =50/2=25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} s}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, and we use an estimator of the population variance the value of 175 replacing into formula (b) we got:

n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189

6 0
3 years ago
Yuri has 12 counters He put them in 2 equal group How many counters are in each group
Andrej [43]

Answer: 6


Step-by-step explanation:

Counter= *

All of counters

************

group one          Group Two

******                       ******

8 0
3 years ago
Uma secretária possui 6 camisas, 4 saias, e 3 pares de sapatos. Qual o número de maneiras distintas com que a secretária poderá
juin [17]

Answer:

72 maneiras

Step-by-step explanation:

O que acontecerá aqui é que um de cada tipo de roupa será selecionado.

Das 6 camisas, 1 será selecionada O número de maneiras pelas quais podemos fazer isso é 6C1 = 6

Das saias também, ela estará selecionando uma O número de maneiras que isso pode ser feito é 4C1 = 4

O terceiro é selecionar um par de sapatos de 3 e isso seria 3C1 = 3

assim o número de maneiras pelas quais ela pode fazer as seleções é 6 * 4 * 3 = 72 maneiras

6 0
3 years ago
Is (3,4) a solution of y<4x-2
butalik [34]

Answer:

yes

Step-by-step explanation:

4x3-2=10>4

so it is true

4 0
3 years ago
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