The value of x is 21√2/2
The correct option is (A)
<h3>What is Trigonometry?</h3>
Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
In triangle having angle 60.
sin 60 = P/ 7√3
√3/2= P/7√3
2P= 21
P= 21/2
Now again
cos 45= 21/2/x
1/√2 = 10.5/x
x= 21√2/2
Learn more about trigonometry here:
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Answer:
15 students
Step-by-step explanation:
from the algebra = 24 - 10 = 14
from the draft = 11 - 10 = 1
14 + 1 = 15
the total students that are taking algebra or drafting but not both is 15 students
40,000 kilometers in the world
One Square Meter= 10.764 Square Feet.
The total area of the quilt in meters is

As you're looking for square feet, you've then got to multiply this by 10.764
4.465*10.764= 48.06086 square feet.
Rounded, this is 48.06 square feet.
Hope this helps :)
Solution :
Let
and
represents the proportions of the seeds which germinate among the seeds planted in the soil containing
and
mushroom compost by weight respectively.
To test the null hypothesis
against the alternate hypothesis
.
Let
denotes the respective sample proportions and the
represents the sample size respectively.




The test statistic can be written as :

which under
follows the standard normal distribution.
We reject
at
level of significance, if the P-value
or if 
Now, the value of the test statistics = -1.368928
The critical value = 
P-value = 

= 0.171335
Since the p-value > 0.05 and
, so we fail to reject
at
level of significance.
Hence we conclude that the two population proportion are not significantly different.
Conclusion :
There is not sufficient evidence to conclude that the
of the seeds that
with the percent of the
in the soil.