# 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

The probability will be "0.7497".

Given:

Mean,

• 9

Standard deviation,

• 0.6

Number of babies,

• 4

The standard error of sample will be:

hence,

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

Thus the above response is right.

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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.

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

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

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

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.

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#SPJ3

Step-by-step explanation:

Which statement is true.?

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)​

I assume you're referring to the product,

Recall the change-of-base identity:

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

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

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

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%.

#SPJ2

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

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%