Liz earns a salary of $2,400 per month, plus a commission of 5% of her sales. She wants to earn at least$2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your
variable represents. Enter the commission rate as a decimal.
+
s (select)
The inequality that represents the situation is
S = (select)

Answer:

7 + 35v

Step-by-step explanation:

7 × 1 + 5v × 7

7 + 35v

Hope this helps and have a nice life d:

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 90

For the alternative hypothesis,

µ < 90

If drinking coffee just before going to sleep affects the amount of dream time, then the amount of dream time would be less than 90 minutes. It means that it is left tailed.

Since the number of samples is 28 and no population standard deviation is given, the distribution is a student's t.

Since n = 28,

Degrees of freedom, df = n - 1 = 28 - 1 = 27

t = (x - µ)/(s/√n)

Where

x = sample mean = 88

µ = population mean = 90

s = samples standard deviation = 9

t = (88 - 90)/(9/√28) = - 1.176

We would determine the p value using the t test calculator. It becomes

p = 0.124

Since alpha, 0.05 < than the p value, 0.124, then we would not reject the null hypothesis. Therefore, At a 5% level of significance, the sample data did

not show significant evidence that drinking coffee just before going to sleep affects the amount of dream time.

Answer:

344.25

Step-by-step explanation:

The Answer is: $344.25

Based on the given information, we can determine the characteristics of the polygon MNOP.

1. MN || OP and NO || PM:

- This means that the opposite sides MN and OP are parallel, and the opposite sides NO and PM are also parallel.

2. m/M = 93°, m/N = 87°, m/O = 93°, m/P = 87°:

- These angle measurements indicate that the opposite angles M and O are congruent, as well as the opposite angles N and P.

Based on these characteristics, we can conclude that the polygon MNOP is a parallelogram. A parallelogram is a quadrilateral with opposite sides that are parallel. In addition, opposite angles of a parallelogram are congruent.

However, we cannot determine from the given information whether the polygon MNOP is specifically a rectangle, rhombus, square, or trapezoid. These classifications require additional information, such as side lengths or angle measures, to be determined.

Therefore, the correct answers are:

- Parallelogram

- Quadrilateral

Please note that rectangle, rhombus, square, and trapezoid cannot be confirmed based on the given information.