Solve the equation. -x+8+ 3x = x - 6 A х = -18 B x= -14 C x= 2 D x= 4

Answer:

Rotated 90° clockwise around the origin. (RO 90)

Step-by-step explanation:

Based on the information A(–3, 4) transitions to A'(4, 3), B(4, –5) becomes B'(-5, –4), and C(1, 6) shifts to C'(6, –1). This implies that a point represented as P(x, y) is transformed to P(y, -x) after rotation.

Therefore, if a point P(x, y) is transformed to P(y, -x), this occurs when the shape defined by these three points is rotated 90° clockwise around the origin.

Answer:

Kathy: $1,224,000

Mark: $306,000

Please refer to the attachment.

Answer:

At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.

Step-by-step explanation:

A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.

The null and alternative hypotheses are:

The significance level is set at 0.10.

The sample mean recorded is 17, and the sample standard deviation is 5.37.

The degrees of freedom are calculated as df=(20-1)=19.

The t-statistic is:

The two-tailed P-value corresponding to t=1.67 is P=0.11132.

At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.

Answer:

Step-by-step explanation:

It has been established that the count of drivers traveling between a specific origin and destination in a certain time frame follows a Poisson distribution with a mean μ = 20 (as indicated in the article "Dynamic Ride Sharing: Theory and Practice"†).

a)

b)

c)

d) 2 standard deviations = 2(20) = 40

Thus, this means the range for 2 standard deviations is

20-40, 20+40

which equates to (0,60)