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pshichka [43]
3 years ago
6

In a study of 225 adults, the mean heart rate was 72 beats per minute. Assume the population of heart rates is known to be appro

ximately normal with a standard deviation of 10 beats per minute. What is the 90% confidence interval for the mean beats per minute?
Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
3 0
<span> The lower and upper bounds of the confidence intervals must be equally distanced from the mean 
so it will be
</span><span>70.9 - 73.1 
</span>hope it helps
bonufazy [111]3 years ago
3 0

Answer:

Confidence interval lower bound = 72-1.097 = 70.903

                                Upper bound = 72+1.097=73.097

Step-by-step explanation:

In a study of 225 adults, the mean heart rate was 72 beats per minute

Hence sample size n = 225

sigma = population std deviation = 10

Sample std deviation = 10/sqrt 225 = 0.67

Since n is sufficiently large we can use Z critical value for finding confidence interval 90%

Two tailed z critical for 90% is 1.645

Margin of error = 1.645 *0.67=1.097

Confidence interval lower bound = 72-1.097 = 70.903

                                Upper bound = 72+1.097=73.097

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Answer: Deshi will have 302 marbles  and Elaheh will have 519.

Step-by-step explanation:

Deshi's Marbles will subtract 125.

427 - 125 = 302.

Elaheh's Marbles will add 125.

394 + 125= 519.

3 0
2 years ago
Find the volume of a cube that has the following dimensions:length=2x^2 width=x^3 height=x^2-6x+5 A) 4x^7-3x^6+8x^5 B) 2x^12-12x
fomenos

Answer:

Option D. 2x⁷ - 12x⁶ + 10x⁵

Step-by-step explanation:

From the question given:

Length (L) = 2x²

Width (w) = x³

Height (h) = x² - 6x + 5

Volume (V) =?

Volume (V) = length (L) x width (w) x height (h)

V = L x w x h

V = 2x² × x³ × x² - 6x + 5

V = (2x²) (x³) (x² - 6x + 5)

V = (2x⁵) (x² - 6x + 5)

Clear bracket

V = 2x⁷ - 12x⁶ + 10x⁵

Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵

4 0
3 years ago
Ian’s monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves 2/3 of his allowanc
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No 2/3 of $21 is $14 so 6x14 is $84 less than $110

8 0
3 years ago
What is e-1/2f when e=15 and f=2
dusya [7]

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Step-by-step explanation:

Replace with the values

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3 years ago
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Svetllana [295]

Answer:

<h2>\ \boxed{(x - 3)(x - 10)}</h2>

Step-by-step explanation:

{x}^{2}  - 13x  + 30

Write -13x as a difference

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Factor out x from the expression

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Factor out -10 from the expression

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Factor out x-3 from the expression

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Hope I helped!

Best regards!!

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