Answer:
80 minutes
Step-by-step explanation:
The ratio can be simplified and rewritten:
minutes : miles = 24 : 3 = 8 : 1 = 80 : 10
It will take Josie 80 minutes to run 10 miles at her 8 minutes/mile pace.
Answer:

Step-by-step explanation:


We'll substitute y into the equation:

Switch sides:

Add 2 to both sides


Divide both sides by -3:


Therefore, the value of x/solution is -3
________________________________________
Answer:
B -- scalene acute triangle
Step-by-step explanation:
None of the measures are >90 degrees. All of the lengths and angles are different sizes. This means that the triangle is an acute scalene triangle
Answer:
Probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.
Step-by-step explanation:
We are given that the average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed.
Firstly, Let X = women's gestation period
The z score probability distribution for is given by;
Z =
~ N(0,1)
where,
= average gestation period = 270 days
= standard deviation = 9 days
Probability that a randomly selected woman's gestation period will be between 261 and 279 days is given by = P(261 < X < 279) = P(X < 279) - P(X
261)
P(X < 279) = P(
<
) = P(Z < 1) = 0.84134
P(X
261) = P(
) = P(Z
-1) = 1 - P(Z < 1)
= 1 - 0.84134 = 0.15866
<em>Therefore, P(261 < X < 279) = 0.84134 - 0.15866 = 0.68</em>
Hence, probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.