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Basile [38]
3 years ago
6

Stan's heart rate, in beats per minute, was measured 20 times at random. The results are 82, 84, 98, 112, 97, 93, 91, 87, 112, 8

7, 79, 80, 72, 82, 94, 89, 89, 74, 80, and 72 beats per minute. Construct a 99% confidence interval for Stan's mean heart rate. (82.5659, 92.8341) (80.4942, 92.8341) (82.5659, 94.9052) (82.4288, 92.9712) (80.4942, 94.9052)
Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

(80.4942, 94.9052)

Step-by-step explanation:

The sample mean is x = 87.7.

The sample standard deviation is s = 11.26.

At 99% confidence and 19 degrees of freedom, the critical value is t = 2.861.

The confidence interval is:

x ± t (s/√n)

87.7 ± 2.861 (11.26 / √20)

87.7 ± 7.2053

(80.4947, 94.9053)

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Find the percent of change from the original price of $184 to the sale price of $138.
Rzqust [24]

Answer: 25%

Step-by-step explanation:

184-138= 46

184*.25=46

7 0
3 years ago
Please solve 5q+6=2q-2+q.
son4ous [18]

Answer:

q= -4

Step-by-step explanation:

5q + 6 = 2 q- 2 + q

Collect like terms and simplify

5q - 2q - q =  - 2 - 6 \\ 2q =  - 8

Divide both sides of the equation by 2

\frac{2q}{2}  =  \frac{ - 8}{2}  \\

Simplify

q =  - 4

4 0
3 years ago
Read 2 more answers
The average capacity of five containers is 13 liters. A container with a capacity of 7 liters is added to the set of 5. What is
Zepler [3.9K]

Answer:

12 liters

Step-by-step explanation:

Let the capacity sum of the 5 containers be X

13 = X / 5

X = 65 liters

Average capacity of the six = ( 65 + 7 )/ 6 liters

= 72/6 liters

= 12 liters

4 0
3 years ago
The ratio of the one leg of
Llana [10]

The legs of the triangle are 6.91 feet, 7.9 feet, and 10.5 feet.

<h3>What is a Pythagoras theorem?</h3>

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The ratio of the one leg of the right triangle to the other leg of the right triangle must be 8:7.

Let x be one leg and y be another leg. Then we have

x/y = 8/7

   y = 7x/8

Then the greatest length of one leg of the right triangle given the other leg of the right triangle is 10.5 feet will be

 10.5² = x² + (7x/8)²

110.25 = x² + 49x²/64

110.25 = 113x²/64

      x² = 62.44

        x = 7.902

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Then the other leg will be

y = 7.9 x 7 / 8

y = 6.91

More about the Pythagoras theorem link is given below.

brainly.com/question/343682

#SPJ1

7 0
2 years ago
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Paul [167]
Answer is C! I got it off of someone else sorry if you want an explenation i dont have that for you :/
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