Answer:
(
g
−
f
)
(
a
)
=
g
(
a
)
−
f
(
a
)
(
g
−f
)
(
a
)
=
g
(
a
)
−
f
(
a
)
=
−
3
a
−
3
−
a
2
−
5
=
−
a
2
−
3a
−
8
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
If they're perpendicular, that means that angle ECM = 90 degrees and angle ACE = 90 degrees. To figure out if this works, plug that into the two equations they give:
ECM = 3x + 15
becomes
90 = 3x + 15
75 = 3x
25 = x
ACE = 4x - 10
becomes
90 = 4x - 10
100 = 4x
25 = x
Since you get x = 25 for both, you know that they are perpendicular because they both measure 90 degrees
Answer:
the answer should 60°
Step-by-step explanation:
if look at angle pq and rq the measure of the angle is 60° if u were to spin that angle to a u should get the same measurement
Answer:
I believe the answer is X=40
Step-by-step explanation:
cross multiply 5*16 = X * 2
Multiply 5*16
80= X*2
Add '-2x' to each side of the equation
80 + -2x = 2x + -2x
Combine like terms
80 + -2x = 0
Add '-80' to each side of the equation.
80 + -80 + -2x = 0 + -80
Combine like terms: 80 + -80 = 0
0 + -2x = 0 + -80
-2x = 0 + -80
Combine like terms: 0 + -80 = -80
-2x = -80
Divide each side by '-2'.
x = 40
Simplifying
x = 40
Hope this helped :)
Answer:
p-value = 0.1277
Step-by-step explanation:
p-value is the probability value tell us how likely it is to get a result like this if the Null Hypothesis is true.
Firstly we find the mean and standard deviation of the given data set.
⇒ Mean = 
⇒ Mean = 4.368
where, 
is mean of the distribution.
⇒ Standard Deviation = 0.034
Applying t- test:
Let out hypothesis is:
H₀: μ = 4.35
H₁: μ ≠ 4.35
Now,
Here, μ = Population Mean = 4.35
= Sample Mean = 4.368
σ = Standard Deviation = 0.034
n = 10
Putting all values we get, t = 1.6777 with (10 -1) = 9 degree of freedom.
Then the p-value at 99% level of significance.
⇒ p-value = 0.1277
