Answer:
5. y = 2/3x + 1
8. y = 4/7x - 4
Step-by-step explanation:
5. (-6, -3) and (6, 5)
You can use the slope formula which is (y2-y1)/(x2-x1) to find the slope and plug it back into the slope-intercept form to find the y-intercept
(5-(-3)) / (6-(-6)) = 8 / 12 = 2/3
slope-intercept form: y=mx+b where m is the slope and b is the y-intercept
to find b you can plug in one of the coordinates and the slope
5 = 6(2/3) + b
5 = 4 + b
1 = b
y = 2/3x + 1
8. (-7, -8), (21, 8)
m = (8 - (-8)) / (21 - (-7)) = 16 / 28 = 4/7
plug in one of the coordinates and the slope to find b or the y-intercept
8 = 21(4/7) + b
8 = 12 + b
-4 = b
y = 4/7x - 4
Answer:
The claim that he rate of inaccurate orders is equal to 10% is supported by statistical evidnece at 5% level
Step-by-step explanation:
Given that in a study of the accuracy of fast food drive-through orders, one restaurant had 34 orders that were not accurate among 371 orders observed.
Sample proportion 

(Two tailed test at 5% significance level)
p difference = 
Std error if H0 is true = 
Test statistic Z = p diff/std error
=0.539
p value = 0.5899
Since p > 0.05 accept null hypothesis
The claim that he rate of inaccurate orders is equal to 10% is supported by statistical evidnece at 5% level
Answer:Commutative property of addition
Step-by-step explanation: It’s because you’re adding stuff
The decimal for 40/100 is equivalent to .04
Answer:
Given that, Vasudevan invested ₹ 60,000
For Compound Interest (C.I.)
A = P[1 + (r/100)]n
P = ₹ 60,000
n = 6 months and 1 year
R = 12% p.a. compounded half-yearly
where , A = Amount, P = Principal, n = Time period and R = Rate percent
(i) For easy calculation of compound interest, we will put Interest Rate as 6% half-yearly and n = 1.
Compound Interest to be paid for 6 months
A = P[1 + (r/100)]n
A = 60000[1 + (6/100)]1
A = 60000[(100/100) + (6/100)]
A = 60000 × (106/100)
A = 60000 × 1.06
A = ₹ 63600
(ii) Compound Interest to be paid for 12 months (1 year) compounded half yearly.
So, assume n = 2, r = 6%
A = P[1 + (r/100)]n
A = 60000[1 + (6/100)]2
A = 60000[(100/100) + (6/100)]2
A = 60000 × (106/100) × (106/100)
A = 60000 × (11236/10000)
A = 60000 × 1.1236
A = ₹ 67416