Answer:
f=-40
Step-by-step explanation:
subtract 45 from both sides
Answer:
1/3
Step-by-step explanation:
A dilation is an enlargement or reduction of an image by a scale factor. The scale factor is the same ratio that cam be found from between the two figures.
The long leg of the original triangle has the length of 6. The small triangle has a long leg of length 2.
The ratio is 2/6 = 1/3.
Answer:
D) the mean and median will increase, but the median will increase more than the mean
Step-by-step explanation:
if you add a $100,000 painting to the plot, it will increase both since it is on the higher side of the plot. but the mean won't change nearly as much as the median because the painting is on the maximum side of the line plot.
(sorry I can't describe it well)
Answer:
Yes, there is enough evidence to say the proportions are the same.
Step-by-step explanation:
Null hypothesis: The proportions are the same.
Alternate hypothesis: The proportions are not the same.
Data given:
p1 = 51% = 0.51
n1 = 200
p2 = 48% = 0.48
n2 = 150
pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497
Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556
The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645
Conclusion:
Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.
Hey there!!
The total cost is $52.
She paid $12 more for the layer cake than the cupcake.
Let's take the price of the cupcake as $x. Then, the price of the layer cake would be $12 + x
The sum of these would result in $52.
... x + x + 12 = 52
... 2x + 12 = 52
... 2x = 52 - 12
... 2x = 40
... x = 20
Hence, the price of the cupcake is $20 and the price of the layer cake is $32.
Hope my answer helps!!