Answer:
0.97
Step-by-step explanation:
Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.
Both alarms are independent of each other.
Probability for smoke detection=P(any one alarm rings)
=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)
Since both are independent
P(Both) = 
Probability for smoke detection
= 0.95+0.40-0.38
=0.97
A is the point (-4, 1)
i) reflection over the y-axis projects a point (a, b) to (-a, b):
(-4, 1) is projected to (4, 1),
ii) reflection over the x axis projects a point (a, b) to (a, -b):
(4, 1) is projected to (4, -1),
iii) rotation 180 degrees: projects (a, b) to (-a, -b):
so (4, -1) is projected to (-4, 1)
Answer: A'(-4, 1)
Answer:
20.18
Step-by-step explanation:
Greatest number= 35.18
Least number=15
Difference between the twain=20.18
Answer:
yes
Step-by-step explanation:
22/13 =1.69≈3.2
13/4 = 3.2
Using the two parallel line theorems we proved that ∠8 ≅ ∠4.
In the given question,
Given: f || g
Prove: ∠8 ≅ ∠4
We using given diagram in proving that ∠8 ≅ ∠4
Since f || g, by the Corresponding Angles Postulate which states that "When a transversal divides two parallel lines, the resulting angles are congruent." So
∠8≅∠6
Then by the Vertical Angles Theorem which states that "When two straight lines collide, two sets of linear pairs with identical angles are created."
∠6≅∠4
Then, by the Transitive Property of Congruence which states that "All shapes are congruent to one another if two shapes are congruent to the third shape."
∠8 ≅ ∠4
Hence, we proved that ∠8 ≅ ∠4.
To learn more about parallel line theorems link is here
brainly.com/question/27033529
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