1) Let x be the original speed that he was driving;
x mph ---> 1.5 hours
x+44 mph --> 2.5 hours
1.5x + 2.5(x+44)=206
1.5x+2.5x+110=206
4x=206-110
4x=96
x=24
Therefore, he was travelling at 24 mph in the fog.
2) Let x be the speed of 1 snail,
The other snail travels at the speed of x+1 cm/min
23x+23(x+1)=391 <-- solve for x
23x+23x+23=391
46x=368
x=368/46
x=8
Therefore one of the snail travels at 8 cm/min while the other goes at 9 cm/min
7) Let x be one crew
Then the other crew would be working at x+0.5
3.2x+3.2(x0.5)=8 <-- solve for x
3.2x+1.6x=8
4.8x=8
x=8/4.8
x=1.6666 or 1.7 miles
Therefore, one of the crew does 1.7 miles per day and the other crew does (0.5*1.7)=0.85 miles
Hope I helped :)
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable who represents the variable of interest. We know from the problem that the distribution for the random variable X is given by:
We select a sample of size n=64. That represent the sample size.
From the central limit theorem we know that the distribution for the sample mean 
is given by:
The mean for the sample distirbution would be given by:
And the deviation given by:
And then the distribution for the sample mean is:
The given question is incomplete and has the following options
1) 35 t-shirts and 15 sweatshirts
2) 32 t-shirts and 18 sweatshirts
3) 25 t-shirts and 20 sweatshirts
4) 22 t-shirts and 22 sweatshirts
5) 15 t-shirts and 25 sweatshirts
Answer:
total money to be spent on clothing = $900
the only possible combination for this will be
25 t shirts and 20 sweatshirts
because 25*12 + 20 * 30 = 900
A picture of graph of g(x) = (1/5x)^2 .
Answer:
4 and (q − 18 + p)
Step-by-step explanation:
Given:
4(q−18+p)
The factors are
4 and (q − 18 + p)
A factor refers to something which is multiplied by something else. It could be a number, variable, term, or a longer expression.
For example. The factors of the expression 6x(y +2)
are 6, x and (y+2)
