Simplify 2^3/7 • 2^1/4

Nina earns $15 for each yard she mowes. she wants to buy a dress that coasts $109. how many yards will she need to mow to earn m

xxTIMURxx [149]

she will need to mow 8 yards because 109 divided by 15 equals 7.2 but she cant just mow 7.2 yards so you round up to 8 yards

8 0

2 years ago

Nancy has a bank account that has a balance of $320 and allows for a maximum of 6 deposits per month. She has decided that each

LenaWriter [7]

Answer: 320,340,360,380,400,420,440

6 0

2 years ago

The median starting salary for new law school graduates is determined by

Elena-2011 [213]

Step-by-step explanation:

1) we would have the expectation that b₅ < 0 because b₅ shows how salary responds to law school ranking. As the rank of law school increases then median starting salary for new law school graduates declines. there is an inverse relation between salary and rank, Coefficient of rank, b5 will be negative since it is less than 0

ii) B₁ is going to be positive because as median LSAT score for the graduating class goes up, so does the salary of graduates. we have B1 >0

B₂ will be positive as college median GPA rises, so does graduate salary.

B₃ will be positive because if the more volumes of book in library, the greater possibility of getting higher salary, so B₃ >0.

B₄ >0 as if annual cost is high , then there would be indictaes more facilities of learning for students, leading to more chances of high salaries , hence B4 >0.

B5<0 this has been explained in 1.

iii) predicted ceteris paribus difference in salary for schools with a median GPA different by one point

= coefficient of GPA

=0.248

= this 24.8% in percentages B₂ tells us that when other factors are held constant,increasing median gpa by 1 would cause 24.8 percent increase in salary predicted.

iv)holding other variable factors constant, increasing the volume in the law library would bring about predicted salary increase by 0.095%

v) due to the inverse relationship between rank of law school and salary, it is better to attend a law school with lower rank than that with higher rank

difference in ranking of 20 = 20*(-0.0033)

= -0.066 x 100

= -6.6%

if rank is lower by 20 units , then we will have salary to be 6.6% higher

8 0

2 years ago

What is the equation of the line that passes through the point (3,2) and has a slope of 2/3

Sladkaya [172]

Answer:

y= ⅔x +1

Step-by-step explanation:

$(3,2) = (x_1,y_1) \\ m = \frac{2}{3}$

Substitute values into point slope form

$y -y_1 = m(x - x_1) \\ y - 2 = \frac{2}{3} (x - 3) \\ y - 2 = \frac{2}{3} x - 1 \\$

$y = \frac{2}{3} x - 1 + 2 \\ y = \frac{2}{3} x + 1$

5 0

2 years ago

The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of days an

solniwko [45]

Answer:

(a) 283 days

(b) 248 days

Step-by-step explanation:

The complete question is:

The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 268 days and a standard deviation of 12 days. (a) What is the minimum pregnancy length that can be in the top 11% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths?

Solution:

The random variable X can be defined as the pregnancy length in days.

Then, from the provided information $X\sim N(\mu=268, \sigma^{2}=12^{2})$ .

(a)

The minimum pregnancy length that can be in the top 11% of pregnancy lengths implies that:

P (X > x) = 0.11

⇒ P (Z > z) = 0.11

⇒ z = 1.23

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\\\1.23=\frac{x-268}{12}\\\\x=268+(12\times 1.23)\\\\x=282.76\\\\x\approx 283$

Thus, the minimum pregnancy length that can be in the top 11% of pregnancy lengths is 283 days.

(b)

The maximum pregnancy length that can be in the bottom 5% of pregnancy lengths implies that:

P (X < x) = 0.05

⇒ P (Z < z) = 0.05

⇒ z = -1.645

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\\\-1.645=\frac{x-268}{12}\\\\x=268-(12\times 1.645)\\\\x=248.26\\\\x\approx 248$

Thus, the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths is 248 days.

8 0

2 years ago