Jimmy wants to enlarge a sign for his taco stand. He increases the height by a scale factor of 4 and the width by a factor of 2.
1 answer:
After the increase in the dimensions of the sign, the effect on the area of the sign is that the new area is 8 times larger than the initial area.
The sign has the shape of a rectangle. A rectangle has four sides. The opposite sides are equal in length.
The area of a rectangle = length x width.
Jimmy is making the sign bigger by increasing the size of the length and width. Let's imagine that the width is 8cm and the length is 10cm.
The initial area of the sign = 10 x 8 = 80 cm
After the increase in the dimensions, the length is are 40cm and 16cm for the width.
New area = 40 x 16 = 640
Number of times the new area is greater than the initial area = 640 / 80 = 8 times larger
A similar question was answered here: brainly.com/question/18452788
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Answer:
There is not sufficient evidence to support the claim μ > 54.4.
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is and the system of hypothesi on this case are:
Null Hypothesis:
Alternative hypothesis:
On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided. So the correct conclusion would be:
There is not sufficient evidence to support the claim μ > 54.4.
Answer:
You sold 20 student tickets.
Step-by-step explanation:
Given that:
Total tickets sold = 27
Total amount collected = $170
Cost of student ticket = $5
Cost of adult ticket = $10
Let,
x be the number of students tickets sold
y be the number of adult tickets sold
x+y = 27 Eqn 1
5x+10y=170 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=27)
10x+10y=270 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(5x+10y)=270-170
10x+10y-5x-10y=100
5x=100
Dividing both sides by 5
Hence,
You sold 20 student tickets.