Rewrite the expression in terms of ln 4 and ln 5.<br> ln(400)

Given that X ~ N(120, 35). We survey samples of 25 and are interested in the distribution of X-bar. Find the z-score associated

lubasha [3.4K]

Answer:

Option c -2.8571

Step-by-step explanation:

z-score are calculated as

$z=\frac{xbar-mean}{\frac{S.D}{\sqrt{n} } }$ .

We are given that mean=120 and standard deviation=S.D=35 as X~N(120,35).

Sample size=n=25.

We have to find z-score for x-bar=100. So,

z-score=[100-120]/[35/√25]

z-score=[-20]/[35/5]

z-score=-20/7

z-score=-2.8571.

Thus, the z-score associated with x-bar = 100 is -2.8571.

8 0

3 years ago

The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distan

AnnZ [28]

Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle $ABE$ .

$\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}$

$\tan76^{\circ}=\dfrac{AE}{BE}$

$AE\approx 4.01\times 354$

$AE\approx 1419.54$

The height air balloon is 1419.54+95 =1514.54 ft

Hence, the height of the hot air balloon is 1514.54 feet approximately.

7 0

2 years ago

Older people often have a hard time finding work. AARP reported on the number of weeks it takes a worker aged 55 plus to find a

mote1985 [20]

Answer:

34

Step-by-step explanation:

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3 0

2 years ago

Read 2 more answers

Darren has gotten 2 offers for jobs in the alternative energy industry. offer #1 pays $31,000 per year with 2,000 raise each yea

katovenus [111]

Answer: Darren

A) Job Offer #1 would be better financially until job offer 2 (in 12 years) would be a better and have more income, so IMO job offer #1 would set you better off financially

B) it would take 12 years for job offer #2 to become a better offer (you can also express this in your own words if needed)

6 0

3 years ago

Maggie has been exercising by climbing steps. Her climbing rate at the end of week 1 was 25 steps per minute. At the end of week

UNO [17]

Answer:

60%

Step-by-step: the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 = 60%

7 0

2 years ago

Rewrite the expression in terms of ln 4 and ln 5. ln(400)