Answer:
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Step-by-step explanation:
Answer:
H0: p ≤ 0.50
Ha: p > 0.50
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above;
Let p represent the proportion of households in the city that gave a charitable donation in the past year
The null hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is not more that 0.50
H0: p ≤ 0.50
The alternative hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is more that 0.50
Ha: p > 0.50
Equation is :( x + 2 )² + ( y - 1 )² = r²( - 4 + 2 )² + ( 1 - 1 )² = r²4 = r², than we will plug in to a formula:( x + 2 )² + ( y - 1 )² = 4x² + 4 x + 4 + y² - 2 y +1 = 4x² + y² + 4 x - 2 y + 1 = 0
the answer is : <span>x2 + y2 + 4x − 2y + 1 = 0 </span>
Answer:
a) k = 5; (-10, -35)
Step-by-step explanation:
Given:
Co-ordinates:
Pre-Image = (-12,3)
After dilation
Image = (-60,15)
The dilation about the origin can be given as :
Pre-Image
where represents the scalar factor.
We can find value of for the given co-ordinates by finding the ratio of or co-ordinates of the image and pre-image.
For the given co-ordinates.
Pre-Image = (-12,3)
Image = (-60,15)
The value of
or
As we get for both ratios i.e of and co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.
To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.
Pre-Image Image
Pre-Image Image (Answer)
Answer:
4534443242
Step-by-step explanation: