Answer:
C. ASA
Step-by-step explanation:
The details of the given parameters are;
Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,
Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF
Side
of ΔABC is congruent to side
of triangle ΔDEF
Two angles (∠B and ∠C) and the included side (side
) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side
) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency
Let P be the population proportion, p be the sample proportion, n be the sample size.
A manufacturer claims that fewer than 6% of its fax machines are defective. It means P=0.06
Sample size n=97 and sample proportion p=0.05
The hypothesis to be tested is
H0: P ≥ 0.06 V/s Ha: P < 0.06
Here the hypothesis for testing population proportion we use z test statistics. Z test statistics is give by
Z = 
Where p =sample proportion = 0.05
p0 = hypothesized proportion value =0.06
Using given values into test statistics we get
Z = 
Z = -0.41
The p-value for left tailed alternative hypothesis is given by
P-value = P(z < z cal)
where zcal = Z test statistics value
Here zcal = -0.41
P-value = P(Z < -0.41)
Using z score table to find probability below z=-0.41
P-value = 0.3409
P-value for testing the given claim is 0.3409
Since the slope is -4 and it is passing through (7,6) so the point slope form of equation can be applied. y-6= -4(x-7)
Answer:y=1/6x+2
Step-by-step explanation:
Y=1/6x+b
Plug in (-6,1)
1=1/6(-6)+b
1=-1+b
Add 1 to both sides
1+1=b
2=b
Y=1/6x+2
Answer:

Step-by-step explanation:
