The scale factor of 4 was applied to the first triangle. 6 was divided by 4 to get 1.5
Answer:
y = -5x - 23
Step-by-step explanation:
Point-slope form:
y - 7 = -5(x + 6)
rearrange:
y - 7 = -5x - 30
y = -5x - 23
It will take him 80 minutes, or an hour and 20 minutes
Answer:
2 roots in every case, not all are real.
Step-by-step explanation:
All of these equations are quadratic equations (degree 2). Every quadratic has two roots. They may be identical (looks like 1 root), and they may be complex (zero real roots), but there are always 2 of them.
a) the y-value of the vertex is negative and the parabola opens downward (leading coefficient -5), so there are no real zeros and both roots are complex.
b) each binomial factor contributes a root. Both roots are real.
c) the discriminant is positive, (3²-4·2·1=1), so both roots are real.
Answer:
a.H0: μ =530mL vs. Ha: μ > 530mL
Step-by-step explanation:
-A hypothesis test will be used to provide evidence that the median is more or equal to the stated median value.
#In a normally distributed population, the mean=mode=median:
-The null hypothesis states that the median is equal to the stated value:
-The alternative hypothesis provides evidence that the median value is greater than the stated value:
Hence, the correct hypotheses are H0: μ =530mL vs. Ha: μ > 530mL
