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Karo-lina-s [1.5K]
3 years ago
5

Hot air balloons generally descend at a rate of 200 to 400 feet per minute. Six balloons descend 260 feet per minute for 5 minut

es. Find the total change in altitude for all 6 balloons.
Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

The change in altitude for all 6 balloons for 5 minutes = 6 × 1300 = 7800 feet

Step-by-step explanation:

Step 1 :

Number of balloons  = 6

Height descended per minute = 260 feet

Total time of descent = 5 minutes

We need to determine the total change in altitude for all the 6 balloons

Step 2 :

The change in altitude for 1 balloon for 1 minute = 260 feet

The change in altitude for 1 balloon for 5 minutes = 5 × 260 = 1300 feet

Therefore

the change in altitude for all 6 balloons for 5 minutes = 6 × 1300 = 7800 feet

Step 3 :

Answer :

The change in altitude for all 6 balloons for 5 minutes = 6 × 1300 = 7800 feet

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Step-by-step explanation:

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In the diagram, BC is a radius of C. Determine whether AB is tangent to C. Explain your reasoning.
Whitepunk [10]

Answer:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49  Since this is false, it's not a right angle, and AB is not tangent.

Step-by-step explanation:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49  Since this is false, it's not a right angle, and AB is not tangent.

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3 years ago
Find the annual percent increase or decrease that y = 0.35(2.3)x models. (1 point) A.230% increase B.130% increase C.30% decreas
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Answer: B. 130% increase


Step-by-step explanation:

Given function :  y=0.35(2.3)^x

If x represents the number of years, we have to determine the two values of y in consecutive terms to determine if the value of y increases or decreases after a year.


This function is equivalent to the exponential growth function


y=A(1+r)^x, where A=0.35 and (1+r)=2.3, [A= initial amount , r=annual percent increase]

Thus,

\Rightarrow\ r=2.3-1\\\Rightarrow\ r=1.3\\\Rightarrow\ r=1.3\times100\%=130\%

Hence, the annual percent increase is 130%.

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3 years ago
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Formula to find the confidence interval for population proportion is given by :-

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z*= Critical value

\hat{p} = sample proportion.

As per given , we have

Significance level : \alpha=1-0.99=0.01

According to z-table, Critical value for 99% confidence interval : z*=2.576

Let p be the proportion of people in the country that have red hair.

n= 388

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Now, required confidence interval for proportion of people in the country that have red hair will be :-

0.22\pm (2.576)\sqrt{\dfrac{0.22(1-0.22)}{388}}

0.22\pm (2.576)\sqrt{0.000442268}

0.22\pm (2.576)(0.02103)

(0.22-0.05417328,\ 0.22+0.05417328 )=(0.16582672,\ 0.27417328)\\\\\approx(0.1658,\ 0.2742)

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