Answer:
To subtract fractions, find the LCD and then combine.
Exact Form:
− 67/40
Decimal Form:
− 1.675
Mixed Number Form:
− 1 27/40
Step-by-step explanation:
Please give the brainliest.
14 increased by 125% is 17.5
N=25000, p=0.001, np=25000*0.001=25 >10, so the normal approximation should apply.
fewer than 20 => 0,1,2,3...19
Applying the continuity correction, we have X<19.5.
μ=np=25
σ²=npq=25000*.001*.999=24.975 =>
σ=√(24.975)=4.9975
Z(X<19.5)=(19.5-25)/4.9975=-1.100550
P(X<19.5)=P(Z<-1.10055)=0.1355463 [from normal probability table, left tail]
Hence normal approximation to probability that fewer than 20 cars will be stolen is 0.1355.
[actual value by binomial distribution is 0.133450. approximation is quite close]
Answer:
y=8x-29
Step-by-step explanation:
Since we know the slope (m) is 8, we can plug it in the slope-intercept formula y=mx+b, making y=8x+b.
Now we need to find the y-intercept (b). To do that, you would need to plug in the points given to you, which were (4,3).
x=4, y=3... so 3=8(4)+b
Now you can solve for the variable b to find the y-intercept.
3=8(4)+b, multiply...
3=32+b, subtract 32 on both sides...
-29=b
Therefore, the y-intercept, or b, is -29.
The equation would be y=8x-29
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