Answer:
Solution given:
y=6x+10/7
comparing above equation with y=mx+c
<u>y intercept =c=10/7</u>
Answer:
The percentage = (1.06/15.9) x 100℅
= 6.67℅
Step-by-step explanation:
For the two pan to be balanced in other to measure an object's accurate weight, the fulcrum must be exactly in the mid point of the distance/separation between the two pans.
In the case in this question, the dishonest shopkeeper has shifted the fulcrum by 1.06cm.
The pan separation is 31.8cm
The fulcrum position must be 31.8/2 = 15.9cm, for it to be balanced.
The percentage by which the true weight marked up by the shopkeeper is:
(1.06/True fulcrum position) x 100℅
Answer:
Option D
Step-by-step explanation:
From the table attached,
Ordered pairs to be plotted → (1, 472.08), (2, 454.26), (3, 444.95), (4, 439.49), (5, 436.55)
By using linear regression calculator,
Equation of the regression line → y = -8.583x + 475.215
Option D will be the answer.
Answer:
60
Step-by-step explanation:
Answer:
0.15%
Step-by-step explanation:
The mean is μ = 3500 and the standard deviation is σ = 500.
2500 is 2 standard deviations below the mean, which we can calculate by finding the z-score.
z = (x − μ) / σ
z = (2500 − 3500) / 500
z = -2
According to the empirical rule, 99.7% of a normal distribution is between -2 and +2 standard deviations. Which means 0.3% is outside of that. Since a normal distribution is symmetrical, half of that, or 0.15%, is less than 2 standard deviations.