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irakobra [83]
3 years ago
14

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:
leonid [27]3 years ago
5 0

Answer:

B. 70.9 − 73.1

Step-by-step explanation:

Ket [755]3 years ago
4 0
90% CI  z* = 1.64
x bar = 72
n = 225
s = 10
x + - z* (s/sqrt n)
72 + - 1.64(10/sqrt225)
72 + - 1.64 (10/15)
72 + - 1.64(2/3)
72 + 1.64(2/3) = 73.09
72 - 1.64(2/3) = 70.91
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A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis. Which steps should be used t
sdas [7]

Answer:

see the explanation

Step-by-step explanation:

we have

y-4=\frac{1}{3}(x+2)

This is the equation of a line in point slope form

where

the point is (-2,4)

the slope is m=1/3

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

so

To graph the line

1. Plot the point (–2,4).

2. From that point, count left 3 units and down 1 unit and plot a second point.

3. Draw a line through the two points

3 0
3 years ago
Read 2 more answers
Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.
Damm [24]

Answer:

1.03x

Step-by-step explanation:

1 year b would be the inital investment added with interest

i believe this is the equation

b = x + r(x)= (1 + r)x

and since it says 3% each year we know its 0.03 (r)

and when you solve it out you get that answer

4 0
3 years ago
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A numerical pass code is required to open a car door. The pass code is five digits long and uses the digits 0-9.
topjm [15]

Answer:

100000 pass codes

Step-by-step explanation:

the pass code form is: abcde

a: 10 numbers to choose

b: 10 numbers

c: 10 numbers

d: 10 numbers

e: 10 numbers

so there are 10^5 = 100000 pass codes exist

8 0
3 years ago
For each of 2 ≤ n ≤ 5, compute c(n, 0) + c(n, 2) + ⋅⋅⋅ + c(n, 2k), where 2k is largest even integer ≤ n, and compute c(n, 1) + c
Ksivusya [100]
Denote C(n,m)=\dbinom nm. Then

n=2\implies\displaystyle\binom20+\binom22=1+1=2
n=3\implies\displaystyle\binom30+\binom32=1+3=4
n=4\implies\displaystyle\binom40+\binom42+\binom44=1+6+1=8
n=5\implies\displaystyle\binom50+\binom52+\binom54=1+10+5=16

In general, it would appear that

\displaystyle\sum_{k=0}^{2\lfloor\frac n2\rfloor}\binom n{2k}=2^{n-1}

On the other hand,

n=2\implies\displaystyle\binom21=2
n=3\implies\displaystyle\binom31+\binom33=3+1=4
n=4\implies\displaystyle\binom41+\binom43=4+4=8
n=5\implies\displaystyle\binom51+\binom53+\binom55=5+10+1=16

so that in general, we also get

\displaystyle\sum_{k=0}^{2\lfloor\frac{n-1}2\rfloor+1}\binom n{2k+1}=2^{n-1}
7 0
3 years ago
1.4x + 3.5y<br>help! 6th grade :)<br>​
romanna [79]

Answer:

Step-by-step explanation:

Simplifying

1.4x + 3.5y = 0

Solving

1.4x + 3.5y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3.5y' to each side of the equation.

1.4x + 3.5y + -3.5y = 0 + -3.5y

Combine like terms: 3.5y + -3.5y = 0.0

1.4x + 0.0 = 0 + -3.5y

1.4x = 0 + -3.5y

Remove the zero:

1.4x = -3.5y

Divide each side by '1.4'.

x = -2.5y

Simplifying

x = -2.5y

6 0
2 years ago
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