Answer: -3/7
Step-by-step explanation:
The first step is to find the slope of the line
y = mx + c where m is the slope of the line
Rearrange the equation and we get
3y = 7x + 7
y = 7x/3 + 7/3
So the slope of the line 7x - 3y = -7 is 7/3
There is another rule that states: The product of the slopes of two lines perpendicular to each other is -1
So, the slope of the line perpendicular to 7x - 3y = -7 is -1/(7/3) = -3/7
Answer:
less than
Step-by-step explanation:
Think about it as if it was on the number line. What ever is further to the right is greater. This make 0.2 less that 0.4.
1 6
--- = ---
a 18
- simplify 6/18, which should be 1/3. therefore, a = 3.
Answer:
3124 inch^3
Step-by-step explanation:
The volume of the cooper is
=19×14×14 inch^3
=3724 inch^3
Given that the mean of 15 bowlers that have been selected at random is distributed normally with mean 157 and std dev of 12
The probability that a random sample of 15 bowlers would have an average score greater than 165 will be:
mean=157
std dev,σ =12
std error=σ/√n=12/√15=3.0984
standardizing xbar to z=(xbar-μ)/(σ/√n)
P(xbar>165)=P(165-157)/3.0984
=P(z>2.582)
using normal probability tables we get:
P(z>2.582)=0.0049
Next we calculate the probability that a random sample of 150 bowlers will have an average score greater than 165.
μ=157
σ=12
std error=12/√150=0.9797=0/98
standardizing the xbar we get:
z=(165-157)/0.98
=P(z>8.165)
from normal table this will give us:
P(z>8.165)=0.00