C) 30, 60, 90 because right off the bat, the largest angle is 90 degrees and it is the ONLY answer in which it’s other 2 angles are summed up to equal to it. And the rest of the facts match up. 60 degrees is twice as 30
Sophie will have a greater daises to total flowers ratio than Eleanor. To make this easier to see, let's assume the boquets have 10 flowers each, and Eleanor uses 2 daisies and 8 tulips, while Sophie uses 5 daisies and 5 tulips. Then Eleanors ratio is 2:10=1:5, while Sophie's ratio is 5:10=1:2.
7 = 3/4 (3) + c
28 = 9 + 4c
4c = - 19
c = - 19/4
y = 3/4x - 19/4
5 = 3/4x - 19/4
3/4x = 39/4
x = 13
Answer:
x= 15 so the c) is right
Step-by-step explanation:
We can do it like:
3(2x + 5) = 3x + 4x
or 6x + 15 = 7x
-6x+ 6x +15 = -6x+ 7x
or 15 = x
The solution is 15
Hope you understand it.
<h2><u>
Answer with explanation</u>
:</h2>
Let
be the average life of light bulbs.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Using z-value table , Critical one-tailed test value for 0.06 significance level :

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life