1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Darina [25.2K]
3 years ago
12

Suppose babies born in a large hospital have a mean weight of 4022 grams, and a standard deviation of 266 grams. If 53 babies ar

e sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by more than 45 grams?
Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer: 0.866

Step-by-step explanation:

Mean = 4022

SD = 266

We are looking for the probability of samples 45g differ than the mean. Hence 2 probability combination:

X>4067 and X<3977

Calculate for Z we'll get Z = 0.16917 and -0.161917

Using Z formula we can find P(Z=0.17) = 0.433

Since both probability will occupy the same area, total probability is 0.433x2 = 0.866

You might be interested in
Carolina leaves her house and walks 6 blocks she turns and heads east 8 blocks until she reaches matties house what is the short
s2008m [1.1K]

Answer:

10 blocks

Step-by-step explanation:

Given

First = 6\ blocks

Second = 8\ blocks east

Required

Determine the shortest possible distance

To better explain my solution, I've added an attachment that illustrates her movement.

Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.

So, we have:

x^2 = 6^2 + 8^2

x^2 = 36 + 64

x^2 =100

Take positive square root of both sides

x = \sqrt{ 100

x = 10

5 0
3 years ago
Find the distance between the given points: (2, -2) and (-4, -7)
miv72 [106K]
Formula: sqr((x2-x1)^2 + (y2-y1)^2)
sqr((-4-2)^2 + (-7+2)^2)
sqr(-6)^2 + (-5)^2)
sqr(36)+(25)) = sqr(61)
The answer is A. sqr(61)
3 0
3 years ago
Read 2 more answers
Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
lawyer [7]

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°

5 0
3 years ago
What is the phase shift of the graph of y=−sin(x+π/4)+2
butalik [34]

Answer:

π/4

Step-by-step explanation:

x is the variable

-1 inverts the curve

π/4 is the phase shift or x axis offset

2 is the y axis offset

5 0
2 years ago
URGENT!!!! PLEASE HELP SHOW WORK!!!!!!!!!!!!!!!!!!!!! PLEASE!!!!!!! I HAVE BEEN WAITING SO LONG!!!!!!!!!
garik1379 [7]
You would do 69sq×3.1416. that gives you 14,957.1576 round it to the nearest hundreth, 14,957.16

7 0
3 years ago
Other questions:
  • Leota is having some friends over and is buying some drinks. She buys a 10 pack of canned soda for $3.00.
    14·1 answer
  • A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the exact pro
    10·1 answer
  • First is brainlest because i need help
    8·1 answer
  • Sadie hiked 37.6km. Sam hiked 0.4 as far. how much farther than Sam did Sadie hike
    15·1 answer
  • CAN SOMEONE help me with my homework, is there an association between extra practice time and being a starting player explain
    5·1 answer
  • Help me out please?? Tysvm!
    6·1 answer
  • Find the first four terms of the arithmetic sequence when a1 = 3 and d = 2.
    15·1 answer
  • Help i have no idea how to do this hbkjb
    8·1 answer
  • What is the coefficient for the 5th term of (2x-y)^8
    7·1 answer
  • 5/7 x 6/35. Please help me. If you get it right, Ile give you this coffee --&gt; ☕. if you get it wrong, you get this Chesnut --
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!