Answer:
y = - 0.9167 - 0.75x
Step-by-step explanation:
Given the data:
(−1, 0), (1, −2), (3, −3)
X : - 1, 1, 3
Y : 0, - 2, - 3
The regression model is written in the form:
y = C + mx
Where ;
C = intercept ; m = slope / gradient
Using the regression model calculator on the data values given above :
Slope (m) = - 0.75
Intercept (c) = - 0.9167
Hence,
y = - 0.9167 - 0.75x
c
Answer:
The dolphin statue is 86% copper, while the bird statue is 83% copper, making the dolphin sculpture more coppery.
Step-by-step explanation:
Since an artist combines copper and other metals to make bronze, and a bronze sculpture of a dolphin contains 43 g of copper for every 7 g of other metals, while a bronze sculpture of a bird contains 83 g of copper for every 17 g of other metals, to determine which sculpture is more coppery the following calculation must be performed:
Dolphin:
43 + 7 = 50
50 = 100
43 = X
43 x 100/50 = X
86 = X
Bird:
83 + 17 = 100
100 = 100
83 = X
83 x 100/100 = X
83 = X
Therefore, the dolphin statue is 86% copper, while the bird statue is 83% copper, making the dolphin sculpture more coppery.
Answer:
There is enough evidence to support the claim that the percent that the goalkeeper guessed correctly is less than 50%.
Step-by-step explanation:
We have to perform an hypothesis test on a proportion.
We have a sample of size n=138, a sample mean of p=0.41.
The standard error is SE=0.043.
We want to test the claim that the real proportion is below 50%.
Then, the null and alternative hypothesis are:

The significance level is α=0.05.
The z-statistic can be calculated as:

The P-value (left tail test) for this z-statistic is:

The P-value is smaller than the level of significance, so the effect is significant. The null hypothesis is rejected.
There is enough evidence to support the claim that the percent that the goalkeeper guessed correctly is less than 50%.
Answer:5/44
Step-by-step explanation:
First you would put the number of green which is 3 over the total amount which is 12. Then it says that the person eats it .so now it's the number of red which is five over 11. You would multiply the two to get the total of 5/44.