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Rzqust [24]
3 years ago
13

Ubehebe crater in Death Valley has a diameter of a little more than 1/2 mile. If latisha walks around it's rim at a rate of 2 mi

les per hour, about how long will it take her to walk all the way around the crater? Find your answer to the nearest tenth. Use 3.14 for pie
Mathematics
2 answers:
Yuri [45]3 years ago
8 0
Let's say that the diameter was 1/2 mile. So the diameter is 1/2,  then you need to find the circumference, aka perimeter of the circle. So 1/2 times 3.14 = 1.57 miles So then you would do 1.57/2 = .785 of an hour If you round to nearest tenth The answer is .8 of an hour.
Triss [41]3 years ago
4 0

Answer:

It took Latisha <u>0.8 hour</u> to walk all the way around the crater

Step-by-step explanation:

Firstly, we write the parameters which we were given in the question

diameter (d) = 1/2 or 0.5 mile, velocity (v) = 2 miles per hour, π = 3.14

circumference of a circle (C) = 2πr

But 2 x radius ⇒ diameter, hence,

circumference of a circle = πd ⇒ 3.14 x 0.5 = 1.57 miles

C = <u>1.57 miles</u>

Therefore, the circumference of the crater is <u>1.57 miles</u>

To calculate how long it will take her to walk all the way around the crater, divide the distance (circumference of the crater) by speed (velocity). Mathematically represented as:

t = C ÷ v

t = 1.57 ÷ 2 = 0.785 hour

t = <u>0.8 hour</u> (to the nearest tenth)

It took Latisha 0.8 hour (or 48 minutes) to walk all the way around the crater

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Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce
Tatiana [17]

Answer:

Sarah

Step-by-step explanation:

For Sarah

Sarah paid $3.84 for 32 ounces of carrots.

32 ounces = $3.84

1 ounce = x

Cross Multiply

x = $3.84/32

x = $0.12

For Sue

Sue paid $5.20 for 40 ounces of carrots.

40 ounces = $5.20

1 ounce = x

Cross Multiply

x = $5.20/40

x = $0.13

Who paid less per ounce?

Sarah paid less per ounce

8 0
3 years ago
Read 2 more answers
How to integrate sqrt(1+x^3)?
Karolina [17]
First integrate the entire thing by letting multiplying by 1/2 the entire expression raised to exponent 1/2 - 1. That is,
                          0.5(1 + x³)^-0.5
Then, multiplying this by the derivative of those inside the parentheses. The final answer would be,
                          (0.5)((1 + x³)^-0.5)(3x²)
8 0
3 years ago
15. Suppose a box of 30 light bulbs contains 4 defective ones. If 5 bulbs are to be removed out of the box.
Naddika [18.5K]

Answer:

1) Probability that all five are good = 0.46

2) P(at most 2 defective) = 0.99

3) Pr(at least 1 defective) = 0.54

Step-by-step explanation:

The total number of bulbs = 30

Number of defective bulbs = 4

Number of good bulbs = 30 - 4 = 26

Number of ways of selecting 5 bulbs from 30 bulbs = 30C5 = \frac{30 !}{(30-5)!5!} \\

30C5 = 142506 ways

Number of ways of selecting 5 good bulbs  from 26 bulbs = 26C5 = \frac{26 !}{(26-5)!5!} \\

26C5 = 65780 ways

Probability that all five are good = 65780/142506

Probability that all five are good = 0.46

2) probability that at most two bulbs are defective = Pr(no defective) + Pr(1 defective) + Pr(2 defective)

Pr(no defective) has been calculated above = 0.46

Pr(1 defective) = \frac{26C4  * 4C1}{30C5}

Pr(1 defective) = (14950*4)/142506

Pr(1 defective) =0.42

Pr(2 defective) =  \frac{26C3  * 4C2}{30C5}

Pr(2 defective) = (2600 *6)/142506

Pr(2 defective) = 0.11

P(at most 2 defective) = 0.46 + 0.42 + 0.11

P(at most 2 defective) = 0.99

3) Probability that at least one bulb is defective = Pr(1 defective) +  Pr(2 defective) +  Pr(3 defective) +  Pr(4 defective)

Pr(1 defective) =0.42

Pr(2 defective) = 0.11

Pr(3 defective) =  \frac{26C2  * 4C3}{30C5}

Pr(3 defective) = 0.009

Pr(4 defective) =  \frac{26C1  * 4C4}{30C5}

Pr(4 defective) = 0.00018

Pr(at least 1 defective) = 0.42 + 0.11 + 0.009 + 0.00018

Pr(at least 1 defective) = 0.54

3 0
3 years ago
Suppose your dean of admissions is considering surveying high school seniors about their perceptions of your school to design be
KonstantinChe [14]

Answer and explanation:

Advantages of telephone interviews:

They are more convenient than face to face interviews

They are alot more cost-effective

There is a wider geographical access as you can reach people in other countries too

Disadvantages of telephone interviews:

Questions become has limited complexity as opposed to face to face interviews

It may be somewhat intrusive for customers and there could also be interference from noise in the background. Also bad connection issues.

Advantages of internet survey:

Increased geographical access leading to high response rate.

Alot more convenient and flexible than face to face interviews

Low cost advantages

Disadvantages of internet survey:

Inability for individuals who are not online to participate

Non response bias

Limited complexity of questions, usually close ended questions

3 0
3 years ago
Renee has 1/4 yard of floral fabric. She cuts it into 5 equal pieces. How long is each new piece of fabric?
Zinaida [17]

Answer:

\dfrac{1}{20}\ \text{yards}

Step-by-step explanation:

Given that,

Renee has 1/4 yard of floral fabric.

She cuts it into 5 equal pieces.

We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,

l=\dfrac{\dfrac{1}{4}}{5}\\\\=\dfrac{1}{4}\times \dfrac{1}{5}\\\\=\dfrac{1}{20}\ \text{yards}

So, each new piece pf fabric is \dfrac{1}{20}\ \text{yards}.

5 0
3 years ago
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