Answer is D
After dilation the image remain same but it is stretched or shrinked to the original size.
That means the ratio of the sides and the angles between the sides remain same .
Here we did dilation of ABCD which made it to EFGH.
Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.
the corresponding sides are : AB and EF
BC and FG
CD and GH
DA and HE
* Let us find ratio of the sides AB and BC
given that AB= 10 and BC= 14
AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )
* the raio of the corresponding sides EF and FG should be same ( 5/7)
in the option D EF= 25 and FG= 35
so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )
Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD
Y =0.5x +2 The y-intercept is found by the coordinates (0,2) and the change is 0.5
When multiplying fractions, just multiply straight across
10 x 11 = 110
3 x 12 = 36
110/36 is your answer
3 1/18 is simplified mixed fraction
hope this helps
Answer:
Step-by-step explanation:
Given that in a randomized controlled trial in Kenya, insecticide treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria.
H0: p1=p2
H1: p1 <p2
(one tailed test)
p1 = 15/343:p2 =27/294:
Difference 4.813 %
95% CI 0.9160% to 9.0217%
Chi-squared 5.947
DF 1
Significance level P = 0.0073
Since p <0.01 we reject null hypothesis.
