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Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining
Answers
Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then
P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)
… = P(-0.32 < Z < 0.32)
… = P(Z < 0.32) - P(Z < -0.32)
… ≈ 0.6255 - 0.3745
… ≈ 0.2510
where Z is normally distributed with mean 0 and s.d. 1.
• • •
Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,
[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]
Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.
The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have
P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))
… = P(-1.6 < Z < 1.6)
… = P(Z < 1.6) - P(Z < -1.6)
… ≈ 0.9452 - 0.0548
… ≈ 0.8904
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9514 1404 393
Answer:
=
Step-by-step explanation:
A half rest is 2 beats, a quarter rest is 1 beat, so the rests on the left total 3 beats.
The half note on the right is normally 2 beats, but the dot adds half-again that amount, so 1 more beat. The dotted half note on the right is 3 beats.
Both represent 3 beats, so their beat counts are "equal."
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2x+30=-50
2x=-50-30
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x=-80/2
x= - 40Answer:
-40
Step-by-step explanation:
cuz 2 times -40=-80 and -80+30 equals -50
Write (3i-2/3)-(6i-5) as a complex number in standard form.
A.(13/3-9i)
B.(13/3-3i)
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D.(13/3+9i)
E.13 - i
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Answer:
(13/3+9i)
Step-by-step explanation:
Each square on the grid represents 1 square yard. What is the area of the octagon?
A.49 sq yd
B.41 sq yd
C.36 sq yd
D.39 sq yd
Answers
Answer:
B. 41 sq yd
hope this answer helps you......
ms. lorenz needs to rent a car for 3 days. she can choose from two plans. plan a costs $60 per day. plan b costs $30 per day plus $.40 for each mile she drives. ms lorenz decides that plan b will cost her less than plan a. write and solve an inequality to represent the number of miles, m, that ms. lorenz expects to drive. PLEASE HELP!!!
Answers
Answer:
distance driven < 300 miles.
Step-by-step explanation:
Plan A
She needs the car for 3 days.
1 day costs 60 dollars
3 days cost 60*3 = 180 So this is the maximum amount that she can spend
Plan B
She still needs the car for 3 days
1 day costs 20 dollars of the car does not move
3 days costs 3*20 = 60 dollars.
60 + 0.4m < 180 Subtract 60
0.4m < 180 - 60
0.4m < 120 Divide by 0.4
m < 120/ 0.4
m < 300
Answer
so she should drive less than 300 miles.
Solve these linear systems using elimination <3
1. 4x-3y=8
5x-2y=11
2. -2x-5y=9
3x+11y=4
3. 7x-6y=-1
5x-4y=1
Answers
Answer:
1.x=3/4y + 2
Step-by-step explanation:
Add 3y to both sides then after youdidnt that divide both sides by 4 Thereyougo the answer.
i have school myself so i only did one.
PLEASE HELP ASAP GEOMETRY I AM LITERALLY DYING!! 100 POINTS REAL ANSWERS ONLY OR YOU WILL BE REPORTED AND GET NO POINTS!
Let’s design a new ferris wheel!! Create a sketch of a new Ferris wheel. This new ferris wheel must have an arc length measuring 3 25π feet. What is the equation of your new ferris wheel if the center must be at least 60 feet from the ground? Be sure to show and explain all work.
Answers
9514 1404 393
Answer:
x^2 +(y -61)^2 = 625/36
Step-by-step explanation:
The graph of the above equation is attached.
If the circumference of the wheel is 25π/3 feet, the diameter is ...
d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet
The radius will be half that value, or 25/6 feet.
For a center point (h, k) and radius r, the equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2
You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.
This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...
x^2 +(y -61)^2 = 625/36
What is the answer help please if you give me a link I will report you
Answers
Answer:
7
Step-by-step explanation:
The median is always the middle number.
help. Julie would like to measure the variability among her classmates in her sixth-grade science class. Which of the following questions would help Julie best show the variability among her classmates? O What is the name of your science teacher? O What grade are you in? O What is your height? What school do you go to?
Answers
Answer:
d. what school do you go to?
Step-by-step explanation:
One half of a number , n is at most 24
Answers
Answer:
So if N is 24, then the number is 12.
Step-by-step explanation:
24 / 2 = 12
if 15% of x is 12. what is x?
Answers
Answer:
Step-by-step explanation:
80
Answer Explanation: 12 ÷ 15%
12 ÷ (15 ÷ 100)
(100 × 12) ÷ 15
1,200 ÷ 15
80
You must use a number line!
n + 5 > 13
PLZ HELP ILL PUT BRAINLIEST
Answers
Answer:
n= 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57
Step-by-step explanation:
just add those to 5 bammmmmmmmmmmmmmmmmmmm
The graph of linear function f passes through the points (-8,-2) and (4,4). What is the x-intercept of f?
Answers
Answer:
2
Step-by-step explanation:
X= 2
just make a graph and you got the answer
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The value of the x-intercept if f passes through the points (-8,-2) and (4,4), is -4 and the equation of the line is 2y -x = 4.
What is function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
The graph of linear function f passes through the points (-8,-2) and (4,4),
Calculate the equation of the line as shown below,
y - 4 = [4-(-2) / 4 - (-8)](x - 4)
y - 4 = 6 / 12 (x - 4)
y - 4 = 1/2 (x - 4)
2y - 8 = x - 4
2y -x = 4
Calculate the x-intercept by putting y = 0,
0 × 2 - x = 4
x = -4
Thus, the value of x is -4.
To know more about function:
https://brainly.com/question/5975436
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What is 0.68 is 1/10 of
Answers
Answer:
68/1000
Step-by-step explanation:
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I divided by 10 to find the answer
What is the height of a triangle whose base is 36 inches area is 234 Square inches
Answers
hope this helps!
have a good day!
Answer:
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A plane flying horizontally at an altitude of 1 mi and a speed of 580 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station. (Round your answer to the nearest whole number.) mi/h
Answers
Answer:
A plane flying horizontally at an altitude of 1 mi. and a speed of 500 mi ./hr. passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing ex when it is 2 mi. away
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Answers
Answer:
Solution given:
sin 52°=perpendicular/base
sin52°=AB/AC
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Answers
Answer:
1.5 meters
Step-by-step explanation:
the fabric is 4 meters long
first piece is 1.25 meters long
second piece will be (4-1.25)=2.75 meters long
therefore the second piece is (2.75-1.25) meters longer
Answer:
1.5 meters
Step-by-step explanation:
4 meters - 1.25 meters=2.75m is the length of the second one.
But when they ask how much longer , I think they want you to compare the two pieces meaning to get the answer you have to take 2.75m-1.25m=1.5m thats how much longer the 2nd fabric is longer than the other one.
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13315
+ ****
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Answers
you are missing 11553
can i have brain
Answer:
ok here is all you do
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-------------
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
0.9=10^(-e)×0.001
find the value of e .
Answers
Answer:
blah blah blah blah blah blah blah blah blah
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Answers
Answer:
12 pints
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Basically you need to use ratios using the gallons and pints
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9.5/19=x/30 solve the proportion
Answers
Answer:
Step-by-step explanation:
Multiply (9.5)(30)=19x
So 285 = 19x
So x= 15
Answer:
x = 15
Step-by-step explanation:
A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were
defective. A store clerk generates random numbers to simulate a random sample of this shipment. The
clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through
5,000 represent working MP3 players. The results are given.
638 430 240 3,932 4,477 670 3,059 13 3,144 3,844
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
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Answers
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So 4 out of 10 would be defective.
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He would expect 40% to be defective.
Answer:
86 i think
Step-by-step explanation:
Please help me I really need it
Answers
Answer:
Angle C
Step-by-step explanation:
By applying sine rule in the given triangle,
[tex]\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}[/tex]
[tex]\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}[/tex]
Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.
Since, BD > BC > CD
Therefore, Opposite angles of these sides will be in the same ratio.
∠C > ∠D > ∠B
Largest angle of the triangle is angle C.
4. What is the volume of the triangular prism
10 in
6 in
8 in
Answers
Answer:
V=480 in^3
Step-by-step explanation:
Use the formula
V=BxH
V=(60)(8)
V=480 in^3
Help me for free Brainliest
Answers
Answer:
CHope It Help
Step-by-step explanation:
Brainliest please
Answer:
C
Step-by-step explanation:
Domain = x-values
Range = y-values
The cost of bottles of vitamins varies
directly with the number of vitamin
tablets in a bottle. A bottle of 50 vitamin
tablets costs $12. What is the cost in
dollars of a bottle of 75 vitamin tablets?
Answers
Answer:
find cost of one vitamin tablet first
50/12 = 4.2
therefore $4.2 is the cost for one tablet
now to find the cost of 75 vitamin tablets we just need to multiply the cost of one tablet with 75.
75*4.2=315
therefore the cost of a bottle of 75 vitamin tablets is $315
Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of days, d, that Natalie can take classes and stay within her budget?
A 146 ≤ 9d + 10
B 146 ≥ 9d + 10
C 146 ≤ 10d + 9
D 146 ≥ 10d + 9
Answers
Answer:
The answer should be letter D (146 ≥ 10d + 9)
Step-by-step explanation:
Solve for y:5y+2-2y=8y-4-2y
Answers
3y+2=6y-4
6=3y
y=2
Answer:
2
Step-by-step explanation:
5y+2-2y=8y-4-2y
5y-2y=8y-2y-4-2
3y=6y-6
6y-3y=6
3y=6
y=6/3
y=2