Answer:
y = 14
Step-by-step explanation:
The sum of the angles in a triangle add to 180 degrees
50 + 2x+ 5y + 10 = 180
We know that 2x = 50 since they are the base angles of sides that have the same length, they must be the same
50 + 50 + 5y+10 =180
Combine like terms
110 + 5y =180
Subtract 110 from each side
110+5y-110 = 180-110
5y = 70
Divide each side by 5
5y/5 =70/5
y = 14
Answer:
c
Step-by-step explanation:
The exponent only applies to the x not the 4
so only the x has permission to move to the denominator
this leaves you with 4/x^3
Answer:
y = 2x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 
x - 4 ← is in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= 2, thus
y = 2x + c ← is the partial equation
To find c substitute (3, 3) into the partial equation
3 = 6 + c ⇒ c = 3 - 6 = - 3
y = 2x - 3 ← equation of perpendicular line
Answer:
H0: μd=0 Ha: μd≠0
t= 0.07607
On the basis of this we conclude that the mean weight differs between the two balances.
Step-by-step explanation:
The null and alternative hypotheses as
H0: μd=0 Ha: μd≠0
Significance level is set at ∝= 0.05
The critical region is t ( base alpha by 2 with df=5) ≥ ± 2.571
The test statistic under H0 is
t = d/ sd/ √n
Which has t distribution with n-1 degrees of freedom
Specimen A B d = a - b d²
1 13.76 13.74 0.02 0.004
2 12.47 12.45 0.02 0.004
3 10.09 10.08 0.01 0.001
4 8.91 8.92 -0.01 0.001
5 13.57 13.54 0.03 0.009
<u>6 12.74 12.75 -0.01 0.001</u>
<u>∑ 0.06 0.0173</u>
d`= ∑d/n= 0.006/6= 0.001
sd²= 1/6( 0.0173- 0.006²/6) = 1/6 ( 0.017294) = 0.002882
sd= 0.05368
t= 0.001/ 0.05368/ √6
t= 0.18629/2.449
t= 0.07607
Since the calculated value of t= 0.07607 does not falls in the rejection region we therefore accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the mean weight differs between the two balances.
