What is the probability that the average of four babies' weights will be within .6 pounds of the mean; will be between 8.4 and 9.6 pounds

Answers

Answer 1
Answer:

The probability will be "0.7497".

Given:

Mean,

  • 9

Standard deviation,

  • 0.6

Number of babies,

  • 4

The standard error of sample will be:

S.E. = (sd)/(√(n) )

          = (0.6)/(√(4) )

          = (0.6)/(2)

          = 0.3

hence,

→ P(4 babies will be between 8.4 - 9.6 pounds)

P(8.4 \leq X \leq 9.6) = (((8.4-9))/(0.3) \leq X \leq ((9.6-9))/(0.3) )

                            = P(-2 \leq X \leq 2)

                            = P(Z \leq 2) - P(Z \leq -2)

                            = 0.9772-0.2275

                            = 0.7497

Thus the above response is right.  

Learn more:

brainly.com/question/14008215

Answer 2
Answer:

Complete question:

Some sources report that the weights of​ full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 0.6 pounds and are normally distributed.

Answer: 0.7497

Step-by-step explanation:

Mean = 9

sd = 0.6

n = 4

P(4 babies will be between 8.4 and 9.6 pounds)

P(8.4 ≤ X ≤ 9.6)

Standard error of the sample (S. E) :

S. E = sd/√n

= 0.6 /√4

= 0.6/2

= 0.3

P(8.4 ≤ X ≤ 9.6)= ((P(8.4 - 9) / 0.3) ≤ X ≤ (9.6 - 9)/0.3)

P(8.4 ≤ X ≤ 9.6) = P(-2 ≤ X ≤ 2)

P(Z ≤ 2) - P(Z < - 2)

0.9772 - 0.2275 = 0.7497


Related Questions

There are 80 participants in a competition. The average score of each participant is 58.5. The average score of the male participants is 64 and the average score of the female participants is 56. How many male participants are there in the competition?
Can someone help me and can y’all show me how you got the answer
The point 3 2 is reflected in the origin the coordinates of its image are
13x = 15x - 8 What is the value of X?
Help pls algebra I nood help pls

Prove that:
(2-sin(2x))(sin(x) + cos(x)) = 2(sin^3(x) + cos^3(x))

Answers

   
\text{We use formulas: }\n  \n 1) ~~  (a + b)(a^2 -ab + b^2)   =a^3  + b^3 \n  \n 2)~~ \sin(2x) = 2\sin x \cos x  \n \n  3)~~ 1 =\sin^2(x) + cos^2(x) \n  \n \text{We solve:} \n  \n \Big(2-\sin(2x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big) \n  \n \Big(2-2\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big) \n  \n 2\Big(1-\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = 2\Big(\sin^3(x) + cos^3(x)\Big)


2\Big(\sin^2(x)+\cos^2(x)-\sin(x)\cos(x)\Big)\Big(\sin(x) + \cos(x)\Big) = \n  2\Big(\sin^3(x) + cos^3(x)\Big)  \n  \n 2\Big(\sin^2(x)-\sin(x)\cos(x)+\cos^2(x)\Big)\Big(\sin(x) + \cos(x)\Big) = \n  2\Big(\sin^3(x) + cos^3(x)\Big)  \n  \n \boxed{2\Big(\sin^3(x) + cos^3(x)\Big)  = 2\Big(\sin^3(x) + cos^3(x)\Big)  }



The magnitude of an earthquake depending on the energy it produces can be modeled using the equationM = 0.6666 log x - 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point
The growth factor is
An earthquake with an energy level of has a magnitude of

Answers

Final answer:

The equation 'M = 0.6666 log x - 3.2' describes the relationship between the energy produced by an earthquake (x) and its resulting magnitude (M). The 0.6666 in the formula is the growth factor. To get a magnitude for a specific energy level, we plug the energy value into the formula, and solve.

Explanation:

The equation given represents the relationship between the magnitude of an earthquake (M) and the energy it produces (x), with M being the earthquake's magnitude and x being the energy produced by the earthquake. This equation is a logarithmic model with a base of 10 (without the base explicitly stated, we assume it to be 10).

  1. The curve representing the relationship includes the point: To identify a point, we need a specific x-value for the energy level. For instance, for x=1000, we can plug it into the equation to get the magnitude M = 0.6666 log(1000) - 3.2.
  2. The growth factor is: In this context, the growth factor refers to the constant 0.6666 which is multiplied by the logarithm. This factor impacts the rate at which the magnitude of the earthquake grows for a given increase in energy.
  3. An earthquake with an energy level of (an x-value should be inserted here) has a magnitude of: We would again plug the energy value (x-value) into the formula, compute the expression to determine the corresponding magnitude.

Learn more about Logarithmic Earthquake Model here:

brainly.com/question/34843153

#SPJ3

Answer:

Step-by-step explanation:

Which statement is true.?

Answers

Answer:

B

Step-by-step explanation:

Log(5t)(5t + 1) * log(5x+1) (5t + 2) * log(5t+2 )(5t + 3)... log(5t+n)(5t +n +1)​

Answers

I assume you're referring to the product,

\log_(5t)(5t+1)\cdot\log_(5t+1)(5t+2)\cdot\cdots\cdot\log_(5t+n)(5t+n+1)

Recall the change-of-base identity:

\log_ab=(\log_cb)/(\log_ca)

where c > 0 and c ≠ 1. This means the product is equivalent to

(\log(5t+1))/(\log(5t))\cdot(\log(5t+2))/(\log(5t+1))\cdot\cdots\cdot(\log(5t+n+1))/(\log(5t+n))

and it telescopes in the sense that the numerator and denominator of any two consecutive terms cancel with one another. The above then simplifies to

(\log(5t+n+1))/(\log(5t))=\boxed{\log_(5t)(5t+n+1)}

Work out the percentage change to 2 decimal places when a price of £70 is increased to £99.

Answers

The percentage change in the price is 41.42%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a price of £70 is increased to £99.

Now, the difference is 99-70=29

Percentage increase is 29/70 ×100

= 0.4142×100

= 41.42%

Therefore, the percentage change in the price is 41.42%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Answer: Your answer is 41.43%

To calculate, it is simply (99-70)/70 x 100

which is  equal to 41.43%

Step-by-step explanation:

In a survey of a community, it was found that 85% of the people like winter season and 65% like summer season. If none of them did not like both seasonsi) what percent like both the seasons

Answers

Answer:

50%

Step-by-step explanation:

Let :

Winter = W

Summer = S

P(W) = 0.85

P(S) = 0.65

Recall:

P(W u S) = p(W) + p(S) - p(W n S)

Since, none of them did not like both seasons, P(W u S) = 1

Hence,

1 = 0.85 + 0.65 - p(both)

p(both) = 0.85 + 0.65 - 1

p(both) = 1.50 - 1

p(both) = 0.5

Hence percentage who like both = 0.5 * 100% = 50%