Answer:
Step-by-step explanation:
Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 6 minutes
σ = 1 minute
the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as
P(4 ≤ x ≤ 8)
For x = 4,
z = (4 - 6)/1 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 8
z = (8 - 6)/1 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75
The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is
0.75 × 100 = 75%
Answer: 12.96 m²
Step-by-step explanation:
The area of the piece of land that the flower beds were dug in is:
= Length * width
= 5.2 * 4.8
= 24.96 m²
The flower beds were 3 in number and all had the shape of a square.
Their area is:
= 3 * (Length * width)
= 3 * ( 2 * 2)
= 3 * 4
= 12 m² for all three flower beds
Remaining land:
= 24.96 - 12
= 12.96 m²
Answer:
a. 36°
Step-by-step explanation:
The same figure will reappear when rotated 360°/10 = 36° about the center.
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<em>Comment on the question</em>
The question as worded is nonsense. If the figure is rotated at all, there is not enough information to tell what the angle of rotation might be.
Answer:
D. 15
Step-by-step explanation:
I just took the test lol
The plan that cannot be used to prove that the two triangles are congruent based in the given information is: b. ASA.
<h3>How to Prove Two Triangles are Congruent?</h3>
The following theorems can be used to prove that two triangles are congruent to each other:
- SSS: This theorem proves that two triangles are congruent when there's enough information showing that they have three pairs of sides that are congruent to each other.
- ASA: This theorem shows that of two corresponding angles of two triangles and a pair of included congruent sides are congruent to each other.
- SAS: This theorem shows that if two triangles have two pairs of sides and a pair of included angle that are congruent, then both triangles are congruent to each other.
The two triangles only have a pair of corresponding congruent angles, while all three corresponding sides are shown to be congruent to each other.
This means that ASA which requires two pairs of congruent angles, cannot be used to prove that both triangles are congruent.
The answer is: b. ASA.
Learn more about congruent triangles on:
brainly.com/question/1675117
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