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alukav5142 [94]
2 years ago
10

When Lisa started at her current job, her employer gave her 2 days of paid

Mathematics
1 answer:
Novay_Z [31]2 years ago
7 0

a. The equation computed shows that the number of paid vacation days has she earned will be 17 days.

b. The time when she will reach the maximum number of paid vacation days allowed is 6 years.

<h3>How to compute the equation?</h3>

a. The equation computed shows that the number of paid vacation days has she earned will be:

= 2 + 3x

x = 5

= 2 + 3(5)

= 2 + 15

= 17 days.

b. The maximum number of days for a pod vacation will be:

= 4 × 5

= 20 days.

The time when she will reach the maximum number of paid vacation days allowed will be:

20 = 3x + 2

3x = 20 - 2.

3x = 18

x = 18/3

x = 6 years

Learn more about equations on:

brainly.com/question/28311379

#SPJ1

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Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minut
USPshnik [31]

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

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3 years ago
Evaluate the Riemann sum for f(x) = 3x − 1, −6 ≤ x ≤ 4, with five subintervals, taking the sample points to be right endpoints.
Verdich [7]

Answer:

The Riemann sum equals -10.

Step-by-step explanation:

The right Riemann Sum uses the right endpoints of a sub-interval:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_1)+f(x_2)+f(x_3)+...+f(x_{n-1})+f(x_{n})\right)

where

\Delta{x}=\frac{b-a}{n}

To find the Riemann sum for \int\limits^{4}_{-6} {3x-1} \, dx with n = 5 rectangles, using right endpoints you must:

We know that a = -6, b = 4 and n = 5, so

\Delta{x}=\frac{4-\left(-6\right)}{5}=2

We need to divide the interval −6 ≤ x ≤ 4 into n = 5 sub-intervals of length \Delta{x}=2

a=\left[-6, -4\right], \left[-4, -2\right], \left[-2, 0\right], \left[0, 2\right], \left[2, 4\right]=b

Now, we just evaluate the function at the right endpoints:

f\left(x_{1}\right)=f\left(-4\right)=-13=-13

f\left(x_{2}\right)=f\left(-2\right)=-7=-7

f\left(x_{3}\right)=f\left(0\right)=-1=-1

f\left(x_{4}\right)=f\left(2\right)=5=5

f\left(x_{5}\right)=f(b)=f\left(4\right)=11=11

Finally, just sum up the above values and multiply by 2

2(-13-7-1+5+11)=-10

The Riemann sum equals -10

5 0
4 years ago
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