Jalen is in a 24-hour dance-a-thon as part of a fundraiser. He raised $50 in the first hour of the competition, then another $60

Answer:

Option 2

Step-by-step explanation:

A prediction interval at 68% for an output of 120 workers will be given by an interval that consists of +/- 1* standard error of regression. Thus, at a 68% PI, this would be computed as 131958 +/- 14994.93 which corresponds to option 2

Response:

b + d = 180°, a = d, and a = c

Detailed explanation:

In the diagram, we observe that the only condition for the lines to be parallel is that the angles correspond with their counterparts, for instance, a must equal d. The equation a = c indicates that all angles must be equal for lines m and n to remain parallel. Finally, the equation b + d = 180° confirms that this holds true only if lines m and n are parallel.

Answer:

The first fraction comes between 27 and 28, leaning towards 28. The second fraction lies between 3 and 4, leaning towards 4. Compatible numbers in division consist of figures that are simple to calculate mentally. 28 divided by 4 results in 7. The estimated quotient will be approximately 7.

Step-by-step explanation:

We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.

Their measures are given as:

∠UVW = x - 10

∠XYZ = 4x - 10

Adding these, we have:

(x - 10) + (4x - 10) = 90

Simplifying:

5x - 20 = 90

Adding 20 to both sides:

5x = 110

Dividing by 5:

x = 22

Substituting back:

∠UVW = 22 - 10 = 12°

∠XYZ = 4(22) - 10 = 78°

Therefore, the values are:

x = 22°

∠UVW = 12°

∠XYZ = 78°