Alex and ben go to a cafe with some friends. Alex buys 4 cups of coffee and 3cups of tea. He pays a total of £6.95. Ben buys 5 c
1 answer:
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Answer:
The standard form is
Step-by-step explanation:
Given:
To Find :
standard form of
Solution:
A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc.
In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write.
Now lets check the degree of each term in the polynomial
The degree of 6x is 5
The degree of 8x is 1
The degree of 3x is 3
The degree of 7x is 7
Now rewrite the polynomial in the order of the degree, from highest to lowest
Answer:
Null hypothesis be H₀ : μ = 100
Alternative hypothesis Hₐ : μ < 100
There is sufficient statistical evidence to suggest that the average location of Wade Tract is 100
Step-by-step explanation:
Here we have;
Let our null hypothesis be H₀ : μ = 100 Average location of trees in the Wade Tract is 100
Our alternative hypothesis becomes Hₐ : μ < 100 at 95% confidence level
Proposed average location in Wade Tract, μ = 100
Sample mean, = 99.74
Standard deviation, s = 58
Sample size, n = 584
The t test formula is therefore;
Therefore, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025
We have = -1.65
Plugging in the values into the t test formula, we have t = -0.108338, from which the p-value is given as p = 0.4569 which is much more than the value of α, therefore, we accept the null hypothesis as follows;
There is sufficient statistical evidence to suggest that the average location of Wade Tract = 100.
<h2>Answer with explanation:</h2>
As per given , we have
, n=331
Critical value for 90% Confidence interval :
a) Confidence interval :
Hence, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot a ord it :
b) Margin of error : E=1.5%=0.015
Formula for sample size :
For p =0.48 , we have
Hence, the required sample size to survey = 3002