Whats the x and y intercept for x + 4y = 36
1 answer:
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Answer:
Step-by-step explanation:
Hello!
The objective is to test if the population proportion of gamers that prefer consoles is less than 28% as the manufacturer claims.
Of 341 surveyed players, 89 said that they prefer using a console.
The sample resulting sample proportion is p'= 89/341= 0.26
If the company claims is true then p<0.28, this will be the alternative hypothesis of the test.
H₀: p ≥ 0.28
H₁: p < 0.28
α: 0.05
To study the population proportion you have to use the approximation of the standard normal ≈N(0;1)
This test is one-tailed left, i.e. that you'll reject the null hypothesis to small values of Z, and so is the p-value, you can obtain it looking under the standard normal distribution for the probability of obtaining at most -0.82:
P(Z≤-0.82)= 0.206
Using the p-value approach:
If p-value ≤ α, reject the null hypothesis
If p-value > α, don't reject the null hypothesis
The decision is to not reject the null hypothesis.
Then at a level of 5%, you can conclude that the population proportion of gamers that prefer playing on consoles is at least 28%.
I hope this helps!
Answer:
A. Complete table below
B. Graph is attached below
C. y = 7x - 10
D. 60 pounds.
Step-by-step explanation:
We are given that, Bayer would grow at an average rate of 7 pounds per month.
So, in order to complete the table, <em>we will add 7 to the weights column</em>.
Part A: Thus, we get the following table.
Age, in months 2, 3, 4, 5, 6, 7, 8
Weight, in pounds 4, 11, 18, 25, 32, 39, 46.
Part B: Since, we have the ordered pairs (x,y) given by,
(2,4), (3,11), (4,18), (5,25), (6,32), (7,39) and (8,46).
The graph is shown below.
Part C: Taking any two pairs say (2,4) and (3,11).
We get the slope is, i.e. slope is 7.
Then, y = mx + b gives, 4 = 7×2 + b i.e. b = 4-14 i.e. b = -10.
Hence, the linear model is given by 'y=7x-10', where x is the age(in months) and y is the weight(in pounds).
Part D: Now, we want to find the weight when Bayer is one year old.
Since, we have that, Bayer is already two months old.
So, we need to find weight when Bayer is 10 months old.
i.e. y=7x-10 ⇒ y = 7×10-10 ⇒ y = 70-10 ⇒ y=60
Hence, Bayer will be 60 pounds when he is one year orld.
