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Simora
4 days ago
13

The birth weights for twins are normally distributed with a mean of 2353 grams and a standard deviation of 647 grams. use​ z-sco

res to determine which birth weight could be considered unusual.
a. 1200 g
b. 2353 g
c. 2000 g
d. 3647 g
Mathematics
2 answers:
zzz [11.9K]4 days ago
6 0
I believe the correct answer is B
PIT_PIT [11.9K]4 days ago
5 0

Designate X as the birth weight for twins, which follows a normal distribution with an average μ = 2353 and a standard deviation σ = 647

Any z score that is below -2 or exceeds 2 is deemed unusual. Conversely, if the z score is within the range of -2 to 2, it is classified as usual.

To identify unusual birth weights, we will calculate the z scores for each x value. An x value that produces a z score of less than -2 or more than 2 is noted as unusual.

a. x=1200

z = \frac{x-mena}{standard deviation}

z = \frac{1200-2353}{647}

z = -1.78

The z score falls between -2 and 2, therefore x=1200 is considered usual.

b. 2353

z = \frac{2353-2353}{647}

z = 0

Since z=0 is within the bounds of -2 and 2, x=2353 is classified as usual.

c. 2000

z = \frac{2000-2353}{647}

z = -0.5456

The z score of -0.5456 is between -2 and 2, which makes x=2000 usual.

d. 3647

z = \frac{3647-2353}{647}

z = 2

A z score of 2 is the upper threshold for unusual values, thus x=3647 is regarded as usual.

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AnnZ [11997]

Answer:

The correct response is: b)

Step-by-step explanation:

a4b=24, where a × 4 × b = 24 implies a × b = 6

The pairs of numbers with a product of 6 include: {1,6} and {2,3}

In base 10, a4b translates to 100a + 40 + b

Calculating gives us:

100×1+40+6=146

100×6+40+1=641

100×2+40+3=243

100×3+40+2=342

Summing these results yields: 146 + 641 + 243 + 342 = 1372

The correct answer is: b)

6 0
1 month ago
What are the eight-digit grid coordinates for benchmark 86 (circled in red)?
lawyer [12163]

Answer:

An eight-digit grid coordinate allows for precision within 10 meters.

Step-by-step explanation:

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The precision increases with the number of digits in the coordinate; an eight-digit designation gives accuracy to the nearest 10 meters.

3 0
1 month ago
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
zzz [11920]

The triangle is positioned within the circle, with its vertices lying on the circle's edge - since the center of the circle is located on the hypotenuse, that hypotenuse serves as the diameter (D) of the circle.

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D = 120 feet

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Calculating the circumference of the circle gives: 22/7 * 120 = 377.14 feet.

The perimeter of the triangle is calculated as 120 + 60 + 103.92 = 283.92

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********************************************************

1) The combined distance around both circle and triangle totals 661.06 feet.

********************************************************

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**************************************************************

2) The vertices for the triangle's central area must touch the circular pool - to find the center of the pool, draw perpendicular bisectors from two of the triangle's sides; where they meet is the center.

The distance from the center to any vertex of the triangular area represents the radius of the


circular pool.

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3) The intersection of the triangle's angle bisectors indicates the center of the shark tank.

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4) The pool's volume is calculated as ((π * 60^2) - area of triangle) * 4 =

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5) 8196.685 * x < 30000

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5 0
1 month ago
Which expression is equivalent to the given polynomial expression?
Zina [12054]
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6 0
18 days ago
Sharon is 54 inches tall. tree in her backyard is five times as tall as she is. the floor of her treehouse is at a height that i
Inessa [12233]
To resolve this question, we begin by determining the height of the tree. If Sharon measures 54 inches, and the tree is five times her height, the calculation would be 54 times 5, resulting in 270 inches. Next, we find the height of the treehouse floor, which is stated to be twice her height, thus 54 times 2 equals 108 inches. Finally, we need to calculate the difference between the top of the tree and the height of the treehouse floor: 270 - 108 equals 162. I hope this information assists you!:) Best answer?
3 0
1 month ago
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