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Alex_Xolod [135]
2 years ago
3

A woman hikes 503 m, turns and jogs 415 m, turns again and runs 365 m returning to her starting point.

Mathematics
1 answer:
crimeas [40]2 years ago
3 0

Answer:

74594.2 m

Step-by-step explanation:

Heron's formula

area=sqrt(p(p-a)(p-b)(p-c)) where p=(a+b+c)/2

You might be interested in
It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
damaskus [11]

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

5 0
2 years ago
Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories h
Over [174]

Answer:

Step-by-step explanation:

Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories have a Normal distribution due to inexact cutting of the pies. Which graph represents the proportion of pieces of pie that have more than 375 calories.

Answer: The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and for a negative z score means the  raw score is below the mean. The z score is given as:

z=\frac{x-\mu}{\sigma}

Given that: μ = 350 calories, σ = 20 calories, x > 375

z=\frac{x-\mu}{\sigma}\\\\z=\frac{375-350}{20}=1.25

From the graph, The shaded area represents the proportion of pieces of pie that have more than 375 calories

From the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25)

= 1 - 0.8944 = 0.1056 = 10.56%

3 0
2 years ago
There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious ap
Delvig [45]

Answer:

98% confidence interval is (-0.105 , 0.265)

Step-by-step explanation:

n1 = 75          n2 = 75

X1 = 48          X2 = 42

P1 = X1/N1 = 0.64          P2 = X2/N2   = 0.56

98% confidence interval for difference between two proportions is :

P1 - P2  <u>+</u>   Z \sqrt{P1 (1-P1)/n1  + P2 (1-P2)/n1}

= 0.08 <u>+</u> 0.185

= (-0.105 , 0.265)

98% confidence interval is (-0.105 , 0.265)

4 0
2 years ago
William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
DiKsa [7]

Answer:

731 miles

Step-by-step explanation:

To solve this, we can set up a proportion.

Let's name the number of miles he travels in 17 hours x for now.

8/344=17/x

Simplify 8/344

2/86=17/x

Cross multiply

86*17=2*x

2x=1462

Divide both sides by 2.

x=731

He would travel 731 miles in 17 hours.

4 0
2 years ago
Read 2 more answers
For the sequence an = 2n + 1, identify the values of a0 = _____, a1 = _____, a2 = _____, and a3 = _____.
Tresset [83]

Answer:

Option A -  a_0= 2,a_1= 3,a_2= 5,a_3= 9

Step-by-step explanation:

Given : For the sequence a_n= 2^n + 1

To find : Identify the values of following?

Solution :

The nth term of the sequence is a_n= 2^n + 1

Substitute n=0,1,2 and 3

When n=0,

a_0= 2^0+ 1

a_0= 1+1

a_0=2

When n=1,

a_1= 2^1+ 1

a_1= 2+1

a_1=3

When n=2,

a_2= 2^2+ 1

a_2=4+1

a_2=5

When n=3,

a_3= 2^3+ 1

a_3= 8+ 1

a_3= 9

Therefore, The value is a_0= 2,a_1= 3,a_2= 5,a_3= 9

So, Option A is correct.

4 0
2 years ago
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