Answer:
x=0.9
Step-by-step explanation:
1.convert to improper fractions
4x+9/7/3=3x/0.5
2.Apply fraction cross multiply
(4x+9) * 0.5=7/3 * 3x
3. simplify
(4x+9) *0.5 =7x
4.Expand
2x+4.5=7x
5.Subtract 4.5 from both sides
2x=7x-4.5
6.Subtract 7x from both sides
2x-7=7x-4.5-7x
7.Simplify
-5x=-4.5
7.Divide by -5
x=0.9
Answer:
Correct volume = 100.48 cm³
Step-by-step explanation:
The formula for finding the volume of a cone is:
V = πr²(h/3)
r - Radius
h - Height
V - Volume
To find the correct volume of the cone, we just need to input the measurements into their respective places in the formula and solve. Your work should look similar to the following:
V = πr²(h/3)
V = π(4)²(6/3)
V = π(16)(6/3)
V = π(16)(2)
V = π(32)
V = 100.48 cm³
(You can use the work shown above to find Joan's mistake in her work.)
~Hope this Helps!~
Answer:
Therefore the area of the screen cleared is 1414.28 cm².
Step-by-step explanation:
Given:
a windscreen wiper of a vehicle of length 30 cm
Consider this length as Radius of Semicircle, r = 30 cm
clears out an angle of 180 degrees implies Semicircle Shape
pie=22/7
To Find:
Area of the screen cleared
= ?
Solution:
We have
Substituting r and pie we get
Therefore the area of the screen cleared is 1414.28 cm².
<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
Since 8 students take both, that leaves only 4 students who take Algebra I alone.
Likewise since 8 students take both, that leaves 10 who only take Algebra 2
So out of the 60, twenty two are taking either Alg I Alg Ii or both.
That leaves 38 people who are not taking either.
b. 38
You can set this up using a 2 circle venn diagram. Just be sure to put the 8 who take both in first.
