Calculate the length of the circumference of a circle with diameter of 8cm
2 answers:
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Answer:
Option D
Step-by-step explanation:
f(x) =
Transformed form of the function 'f' is 'g'.
g(x) =
Property of vertical stretch or compression of a function,
k(x) = x
Transformed function → m(x) = kx
Here, k = scale factor
1). If k > 1, function is vertically stretched.
2). If 0 < k < 1, function is vertically compressed.
From the given functions, k =
Since, k is between 0 and , function f(x) is vertically compressed by a scale factor
.
g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.
g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.
g(x) =
Therefore, function f(x) has been shifted by 4 units left to form image function g(x).
Option D is the answer.
We substitute the given into the equation
given: a=-1, b=2, c=
=(
-1
=
-1
=
-1
=
-1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
=-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
=
×
(denominator should be -2=common)
=+
=
which also = to -3.5
given: a=-1, b=2, c=
=(
=
=
=
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
Equation=-2.5-1=-3.5
OR Common Denominator:
=
=
=
which also = to -3.5
Answer:
The p value can be founded with this formula:
Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor
Step-by-step explanation:
Information given
represent the mean for Gibbs products
represent the mean for the competitor
represent the population standard deviation for Gibbs
represent the sample standard deviation for the competitor
sample size for the group Gibbs
sample size for the group competitor
Significance level provided
z would represent the statistic
Hypothesis to verify
We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The p value can be founded with this formula:
Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor