Answer:
Probability = 0.00621
Step-by-step explanation:
We are given;
Population mean; μ = 400
Population standard deviation; σ = 20
Raw score; x¯ = 450
the probability that the actual costs will exceed the budgeted amount will be the p-value.
Thus, let's first find the z-score after which we will find the p-value.
z = (x¯ - μ)/σ
z = (450 - 400)/20
z = 50/20
z = 2.5
From online p-value from z-score calculator attached, using z = 2.5; one tailed hypothesis; significance level of 0.05, we have;
P-value = 0.00621
Answer:
74°F
Step-by-step explanation:
In order to find the average of a certain amount of numbers, you add those numbers together and divide by how many numbers there are. In this case, you would reverse that method to find the last number. We know that there were four readings, and we have three of them and the average. Multiply the average (84.75) by the number of readings (4), and you get the sum of all the readings (339). Then you subtract each of the readings that you already know to isolate the last reading. 339 - 112 (first reading) = 227, 227 - 68 (second reading) = 159, and 159 - 85 (fourth reading) = 74. Therefore, the third reading must be 74.
The total number of horses and people at the riding academy for the Sunday session is 37. Horses have 4 legs, humans 2.
The total number of legs at the academy that day is 112.
How many horses are at the riding academy that day?
ANSWER
8X4 = 32 40 x2 = 80
8 horses. 40 people
The two cones are not congruent because one of the cones is oblique in nature.
<h3>What are congruent shapes?</h3>
Congruent shapes are identical in size and shape. To put it another way, if you hold an object or element in a mirror, the picture you get is congruent to the object.
However, two figures may seem to be identical, but one side or angle in one figure may deviate significantly from the other. The easiest technique to assess sides and angles to check if they are equivalent or congruent is to use markings on figures.
When we apply that technique to the two figures, we realized that the two cones are not congruent because one of the cones is oblique in nature, this resulted in a difference in the slant height of the cones.
Learn more about congruent figures here:
brainly.com/question/25837892
The LCM of 6 and 14 would be 42.