Brand X batteries have a mean life span of 102 hours, with a standard deviation of 6.8 hours. Brand Y batteries have a mean life span of 100 hours, with a standard deviation of 1.4 hours. Complete each of the sentences.
Answers
Answer:
Step-by-step explanation:
Hello!
X₁: Life span of a battery of Brand X
X₁~N(μ₁;σ₁²)
μ₁= 102hours
σ₁= 6.8hours
X₂: Life span of a battery of Brand Y
X₂~N(μ₂;σ²)
μ₂= 100hours
σ₂= 1.4hours
To complete the first two sentences, you have to use the empirical rule:
μ±δ= 68% of the distribution
μ±2δ= 95% of the distribution
μ±3δ= 99% of the distribution
1. About 68% of brand x’s batteries have a lifespan between 95.2 and 108.8 hours.
μ₁±σ₁= 102 ± 6.8= 95.2; 108.8
2. About 68% of brand y’s batteries have a lifespan between 98.6 and 101.4 hours.
μ₂±σ₂= 100 ± 1.4= 98.6; 101.4
3. The life span of brand Y ’s battery is more likely to be consistently close to the mean.
The standard deviations show you the dispersion of the distribution. A low standard deviation indicates that the values are close to the mean. A high standard deviation indicates that the values are further away the values are from the mean.
The standard deviation for the X batteries is σ₁= 6.8hours and the Y batteries are σ₂= 1.4hours since the standard deviation for the Y batteries is less than the standard deviation for the X batteries, you'd expect that the life span of the Y batteries will be closer to the mean than the life span of the X batteries.
I hope it helps!
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Megan is thinking of a number that is divisible by both 9 and 12 what is the smallest possible number that Megan is thinking
$0.30 per pound
$0.50 per pound
$100.00 per pound
Answers
Final answer:
The owner of the construction company paid A) $0.05 per pound for the cement.
Explanation:
To figure out how much the owner of the construction company paid per pound, we need to convert tons to pounds. We know that 1 ton is equal to 2,000 pounds, so 6 tons is equal to 6 * 2,000 = 12,000 pounds. Now we can calculate the price per pound by dividing the total cost of $600 by the number of pounds, which is $600 / 12,000 = $0.05 per pound.
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Answer: $100.00 per pound
Greatly appreciated!!
Answers
Answer:
D
Step-by-step explanation:
(-2, 1) ; m = 4/5
y - y1 = m(x - x1)
3m - 14
Ob
3m-4
3m + 16
Od
3m + 3
Answers
Answer:
- а. 3m - 14
Step-by-step explanation:
- 3(m - 5) + 1 =
- 3m - 15 + 1 =
- 3m - 14
This is same as option a.
Answer:
A - 3m-14 is the answer(:
Answers
~Hope I helped~
Mark as Brainliest? :)
Answer:
Step-by-step explanation:
to the nearest whole number, we take a note of the number after the decimal point
any number higher than 5, 1 is added
but in these case, it is less than 5
835.2301≅835
Answers
The map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
What is triangle ?
A triangle is a closed two-dimensional figure with three straight sides and three angles. The sum of the angles in a triangle is always 180 degrees. The three sides can be of different lengths, and the three angles can also be of different measures. Triangles are important geometric shapes and are used in many fields, such as mathematics, engineering, and architecture.
To determine which transformation maps triangle ABC to a similar but not congruent triangle, we need to understand the characteristics of similarity and congruence in triangles.
Two triangles are congruent if they have the same shape and size, and their corresponding sides and angles are equal. Two triangles are similar if they have the same shape, but not necessarily the same size, and their corresponding angles are equal.
In the given answer choices, the transformation (x, y) -> (- y, - x) is a reflection over the line y = x, which means it reverses the position of x and y coordinates. This transformation does not preserve the angles of the triangle, and therefore does not result in a similar triangle.
The transformation (x, y) -> (-4x, -4y) is a dilation with a scale factor of 4, which means it increases the size of the triangle by a factor of 4. This transformation preserves the angles of the triangle, and therefore results in a similar triangle that is also congruent.
The transformation (x, y) -> (x + 2, - y - 2) is a translation that moves the triangle 2 units to the right and 2 units down. This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
The transformation (x, y) -> (-y + 2, x + 2) is a rotation of 90 degrees counterclockwise around the point (2, -2). This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
Therefore, the map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
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Answers
Answer:
Step-by-step explanation:
BD - 5 = Y
BD = Y + 5
B = (Y + 5)/D
5+y=BD
B=D(y+5)