Answer:
y = 17.5
Step-by-step explanation:
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 35 when x = 140, then
35 = 140k ( divide both sides by 140 )
0.25 = k
y = 0.25x ← equation of proportion
When x = 70, then
y = 0.25 × 70 = 17.5
Answer:
<h2><em><u>2x</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>2x</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>2x</u></em></h2>
Step-by-step explanation:
= <em><u>2x × 2x × 2x (In expanded notation form) (Ans)</u></em>
From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
From the diagram:
AB = 3 units, AC = 4 units. Using Pythagoras theorem:
BC² = 3² + 4²
BC = 5 units
AE = 6 units, AD = 8 units. Using Pythagoras theorem:
DE² = 6² + 8²
DE = 10 units
From the two triangle, we can see that triangle ADE is a dilation of triangle ABC by a scale factor of 2.
Find out more on equation at: brainly.com/question/2972832
#SPJ1
Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe other transformations that would produce triangle <span>. </span>
Step-by-step explanation:
x'=53
σ=16
n=144
a) hypothesis
H0:µ=55
Ha:µ<55
This is a left tailed test
b) Test statistics
- z=(x'-u)/(sigma/sqrt {n})
=(53-55)/(16/sqrt{144})
=-1.5
c)Pvalue at z=|-1.5|
pvalue= p(z>1.5)
=1-0.933193
=0.066807
=0.0668
<u>Decision</u>
since pvalue>alpha(0.05) fail to reject the null hypotheis.
<u>Conclusion</u>
There is not sufficient evidence to support the claim the new computer program has not reduce the time to retrieve the data.
d)since Pvalue>alpha(0.025),so fail to reject the null hypothesis.
No, change in conclusion.
