I will make you brainlist

2 a. An airplane flies with a constant speed of 680 km/h. How far can it travel in 2 hours?

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Answer:

1360 km/h

Step-by-step explanation:

680 km/h x 2hr = 1360

7 0

2 years ago

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The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of days an

solniwko [45]

Answer:

(a) 283 days

(b) 248 days

Step-by-step explanation:

The complete question is:

The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 268 days and a standard deviation of 12 days. (a) What is the minimum pregnancy length that can be in the top 11% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths?

Solution:

The random variable X can be defined as the pregnancy length in days.

Then, from the provided information $X\sim N(\mu=268, \sigma^{2}=12^{2})$ .

(a)

The minimum pregnancy length that can be in the top 11% of pregnancy lengths implies that:

P (X > x) = 0.11

⇒ P (Z > z) = 0.11

⇒ z = 1.23

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\\\1.23=\frac{x-268}{12}\\\\x=268+(12\times 1.23)\\\\x=282.76\\\\x\approx 283$

Thus, the minimum pregnancy length that can be in the top 11% of pregnancy lengths is 283 days.

(b)

The maximum pregnancy length that can be in the bottom 5% of pregnancy lengths implies that:

P (X < x) = 0.05

⇒ P (Z < z) = 0.05

⇒ z = -1.645

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\\\-1.645=\frac{x-268}{12}\\\\x=268-(12\times 1.645)\\\\x=248.26\\\\x\approx 248$

Thus, the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths is 248 days.

8 0

2 years ago

QUESTION 4 of 10: You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised

puteri [66]

Answer:

We conclude that will rent be at the end of this year 937.125$.

Step-by-step explanation:

We know that we have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st.

We calculate

$\frac{850}{100}=8.5\\\\5\cdot 8.5=42.5\\\\850+42.5=892.5\\$