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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 \(X_i\) 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,
\(Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}\)
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
Related Questions
well how do I get better at maths, am unable to understand no matter how hard I study
Answers
Answer:
I would do it at your own pace. Find yourself a habit that helps you focus.
Step-by-step explanation:
For some people, like me, music helps me focus. For others, utter silence is best. I would suggest that if you finding a focal point does not help that you get a tutor. You can also come up with multiple ways to study like Quizlets, videos, flashcards, podcasts, depending on what type of learner you are!
What is the value of x? x/9=9/24
Answers
Answer:
x = 27/8
Step-by-step explanation:
x/9=9/24
Cross multiply.
9*9 = 24*x
81 = 24x
x = 81/24
x = 27/8
Answer:
X=3.375 or 27/3solution,
\( \frac{x}{9} = \frac{9}{24} \\ or \: x \times 24 = 9 \times 9 \\ or \: 24x = 81 \\ or \: x = \frac{81}{24} \\ x = \frac{27}{8} \: or \: 3.375\)
Hope this helps..
Good luck on your assignment
which number is greater than 5,043
Answers
Answer:
5,044
Step-by-step explanation:
Answer: 5044 and any other numbers greater than that
Step-by-step explanation:
Please help with this word problem it’s a little complicated help immediately
Answers
Answer:
Each small chandelier weighs 7 kilograms and each large chandelier weighs 28 kilograms.
Step-by-step explanation:
Let's denote the weight of a small chandelier by "s" and the weight of a large chandelier by "L". We can then create a system of equations based on the information provided:
From the first box:
4s + 1L = 56
From the second box:
4s + 5L = 168
We can use these equations to solve for "s" and "L".
First, we can multiply the first equation by 5 to eliminate "L" and create a new equation:
20s + 5L = 280
Then, we can subtract the second equation from this equation to eliminate "s":
20s + 5L - (4s + 5L) = 280 - 168
16s = 112
Finally, we can solve for "s":
s = 7
Now we can substitute this value back into one of the original equations to solve for "L". Let's use the first equation:
4s + 1L = 56
4(7) + 1L = 56
28 + L = 56
L = 28
Therefore, each small chandelier weighs 7 kilograms and each large chandelier weighs 28 kilograms.
If there is an outlier should we report mean or median?
Answers
Answer:
The median is usually preferred in these situations because the value of the mean can be distorted by the outliers.
Step-by-step explanation:
Answer:
If there is an outlier you should report the median. This is because the value of a mean can be distorted by the outliers. So, you can use the median when the distribution is not symmetrical.
Step-by-step explanation:
D = 360 - 180/N N = 9
Answers
Answer:
D=340
Step-by-step explanation:
D=360 - 180/9
=360 - 20
=340
Answer:
D = 340
Step-by-step explanation:
First, we input the value 9 in place of the variable N.
\(d = 360 - \frac{180}{n} \\ d = 360 - \frac{180}{9} \)
Next, we begin to perform the order of operations to solve the equation. The Order of Operations (or PEMDAS) dictates that, from left to right, we should start from:
Parentheses
Exponents
Multiplying and Dividing
Adding and Subtracting
So first, we'll divide 180 by 9.
\(d = 360 - \frac{180}{9} \\ d = 360 - 20\)
Finally, we'll subtract 20 from 360.
\(d = 360 - 20 \\ d = 340\)
Sloane and Joey are saving up to buy a drone. The cheapest drone they found costs more than $120. They broke open their piggy banks to find
that they already have $48 if they put their money together. They earn $12 a week combined for doing chores around the house. What is the
fewest number of weeks they will have to save their allowance in order to have a combined total of more than $120 to buy a new drone?
Answers
Answer:
7 weeks
Step-by-step explanation:
So, the question is the number of weeks. What we need to know is in how many weeks exactly are we going to earn more 120 $. The clue given in the question is that,' They earn 12 $ per week.
That can also be written as,
1 week = 12 $
If in one week, we'll earn 12 $ then in how many weeks will we earn more than 120 $ ( Remember, the money should be more than twenty but also the least number which is more than 20.)
So, here we write
1 week= 12 $
2 weeks= 12 × 2 = 24 $
3 weeks= 36 $
4 weeks= 48 $
5 weeks= 60 $
6 weeks= 72 $
7 weeks= 84 $
Now if you wish to verify, you can do the calculations as follows;
84 + 48 = 132$
So, 132 $ is more than 20 and the least number more than 20. Thus, the statement also shows that if it's the least number more than 20, it should also be the least number of weeks.
Hope it helps!
Camilo uses 32 ounces of filling to make empanadas de quest. He puts 0 empanadas on each of the 3 trays. write a fraction to show how many ounces of filling Camilo uses in each empanadas
Answers
The fraction that shows the number of ounces of filling camilo uses in each empanadas is,
↪32 ounces
☆...hope this helps...☆
_♡_mashi_♡_
\( \bold{ \underline{SOLUTION }}\)
Required Answer
32Camilo uses ounce = 32
he put emandas = 0
each tray = 3
find how many ounce of filling camilo uses in each empandas
\( \bold {\underline{ \underline{Let's Begin -: }}}\)0 × 3 = 0
{and any number is cant divided by zero.}
Thus ,,
32 empanadas fill on each ounce
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
What happens to the value of a subtraction expression when you rearrange the order of the numbers?
Answers
In AFGH, FG – HF and mZF = 56°. Find m_H.
Answers
Answer:
m<H = 62°
Step-by-step explanation:
If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.
Given that m<F = 56°, therefore:
56° + 2(m<H) = 180° (sum of triangle)
2(m<H) = 180° - 56°
2(m<H) = 124°
m<H = 124/2
m<H = 62°
It takes Ms. Brown 5/12 hours to hike 11 miles. At this rate, how long will it take her to hike the remaining 7 miles to her camp site?
Answers
Answer:
It will take 4 hours and 20 minutes to hike the rest of the 7 miles
Step-by-step explanation:
A farmer has two equal-size fields. He plants corn in 11/12 of the first field and in 6/12 of the second field. How much more of the first field does he plant with corn than the second field?
Answers
Answer:
41.66% more than 2nd ..........
Burgers come in packs of 10. The cost of 10 burgers is £3.45. How much does 1 burger cost?
Answers
Explanation:
10 burger = £3.45
1 burger = £3.45/10
1 burger = £0.345
Zoe thinks of a number. She multiplies it by 3 and adds 4. She gets the same answer when she adds 5 to the number and then multiplies the result by 2.
a. Write an equation, using n for Zoe's number.
b. Solve your equation to find Zoe's number.
Answers
Answer:
Zoe's number is 6
Step-by-step explanation:
Let the number be 'n'
a) Multiply 'n' by 3 ⇒ n*3 = 3n
Add 4 to '3n' ⇒ 3n + 4
Add 5 to 'n' ⇒ n +5
Multiply (n+ 5) by 2 ⇒ (n +5)*2 = 2n + 5*2 = 2n + 10
3n + 4 = 2n + 10
b) 3n + 4 = 2n + 10
Subtract 4 form both sides
3n = 2n + 10 - 4
3n = 2n + 6
Subtract 2n from both sides
3n - 2n = 6
\(\sf \boxed{\bf n = 6}\)
Answer:
21 is probably the best answer
I GIVEEEEE BRAINLILSTTTTT
Answers
Answer:
side of black is 7
side of green is 14
Dilation scale factor is 2
hope this helps :)
please mark branliest
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
To find the scale factor of a dilation, we first have to find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the green shape. The length on the black shape measures 7 units and the length on the green shape measures 14 units.
Now, we divide the length taken from the figure by the length taken from the original shape.
14/7=2
Therefore, the scale factor of the dilation is 2.
I hope this helps!
How to calculate volume of a rectangular prism
Answers
Calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height.
Calculating the volume of a rectangular prism is a straightforward process. A rectangular prism is a three-dimensional shape that has a length, width, and height. To find its volume, you simply multiply the length by the width by the height. The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
For example, if a rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm, its volume would be:
Volume = 5 cm x 4 cm x 3 cm
Volume = 60 cubic centimeters (cm³)
It's important to ensure that all measurements are in the same unit before calculating the volume. For instance, if the length is in meters and the width and height are in centimeters, you would need to convert the length to centimeters to ensure that all measurements are in the same unit before calculating the volume.
In conclusion, calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height. This formula can be used for any rectangular prism regardless of its size or shape.
For more questions on volume
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need help please again
Answers
Answer:
7 hours
Step-by-step explanation:
d=rt
d is distance
r is speed
t is time
here we need to find (t)
so d/r is t
so t is 455/65
t is 7
What's next in this sequence? 4,8,16,32,64 _?
Answers
Explanation: in order for 4 to go to 8 you have to times 2, 8 times 2 is 16, 16 times 2 is 32, so finally 64 times 2 would be 128.
i hope this helps!
a basketball team played six games. In those games, the team won by 8 points, lost by 14, won by 9, won by 10, lost by 1, and won by 6. What was the mean difference in game scores over the six games?
Answers
Answer:
8
Step-by-step explanation:
The mean is the average, the average means to add all the numbers, then divide by how much numbers there are. This means 8+14+9+10+1+6 = 48, 48/6 which equals 8.
Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. If the system has one solution, find the solution.
-4x+y=12
-8x+2y=14
Answers
Answer:
no solution
Step-by-step explanation:
Complete the sentence to explain how to use mental math to express 12/25 as a percent.
Multiply the numerator and the denominator by______ to get ---------
100
which is the same as ___%
Answers
Answer:
the first one is 4 i think and the last one is 48 percent. im not sure if the dotted line is a underline tho
Step-by-step explanation:
:))
Multiply the numerator and the denominator by 100 to get 48/100
which is the same as 48% .
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given,
Fraction = 12/25
To convert into percentage
divide the number by 100 and multiply by 100.
= ((12/25)×100)/100
= 12 × 100/25×100
= 48/100
= 48%
Hence, 48% is the expression of 12/25 as percent gotten by multiplying and dividing with 100.
Learn more about percentage here:
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Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Answers
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
Learn more about mathematical operations at https://brainly.com/question/4721701.
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In ΔUVW, u = 76 inches, w = 71 inches and ∠W=69°. Find all possible values of ∠U, to the nearest degree.
Answers
The value of the angle U from the calculation is 88 degrees.
How do you solve a triangle?The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).
By the use of the sine rule;
u/Sin U = w/Sin W
Thus;
76/Sin U = 71/Sin 69
Sin U = 76Sin 69/71
U = Sin-1 (76Sin 69/71)
U = 88 degrees
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Annie's current earnings are shown in the table.
She was offered a new job that will pay $7.25 per hour. Assume
that her earnings vary directly with the number of hours worked.
Which job pays more an hour?
Answers
Answer:
Annie's new job pays more an hour.
Step-by-step explanation:
They tell us that her new job pays $7.25 per hour. So to determine which job pays her more, we need to find how much she earns in her current job.
There are a few ways to find this (none of them are hard.) But this is the easiest way in my opinion.
The chart tells you that Annie earns $13 in 2 hours. We need to find how much she earns in 1 hour. All you need to do is divide $13 by two.
13/2 = 6.5
6.5 = $6.50
If her current job pays her $6.50 an hour and her new job pays $7.25 an hour, she should consider higher paying jobs.
But, yes, the new job pays her more an hour.
Which statements are true about the graph of y < 2x+1? Check all that apply 3 The slope of the line is 1 The line is solid The area below the line is shaded. A solution to the inequality is (2, 3) The x-intercept of the boundary line is (-2, 0) Graph y
Answers
The statements that are true about the graph of y < 2x+1 include the following:
C. The area below the line is shaded.
D. A solution to the inequality is (2, 3).
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided, we have the following equation (inequality);
y < 2x + 1
The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).
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Try Again
Suppose that 16 inches of wire costs 48 cents.
At the same rate, how many inches of wire can be bought for 36 cents?
I inches
X Х
$
?
Answers
12 inches
step-by-step explanation:
16 inches of wire = 48 cents
48/16
3 cents for each
36/3
12 inches
Which of the following is the equation of a line with a slope of -5/9
Answers
Answer:
Please help me important question in image
Please help me important question in image
Please help me important question in image
Step-by-step explanation:
Please help me important question Please help me important question in image
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Please help me iPlease help me important question in image
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What is the rate of change for the height as the time increases by 1 minute?
Answers
Answer: 9.5
Step-by-step explanation:
i just did it lol
The purple figure is composed of small squares with side-length 1 unit and curves that are an arc of a circle.
Area of the circle:
Perimeter of the circle:
Answers
Answer:
Area = 3.141593 units ²
Perimeter = 6.283185 units
Step-by-step explanation:
Area = πr² = π1² = 3.141593 units ²
Perimeter = 2πr = 2π(1) = 6.283185 units
Identify The slope and y-intercept Of the equation Y= -8
Answers
to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below.
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-1)}}}\implies \cfrac{-8+8}{5+1}\implies \cfrac{0}{6}\implies 0\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{0}(x-\stackrel{x_1}{(-1)}) \implies y+8=0(x+1) \\\\\\ y+8=0x+0\implies y=\stackrel{m}{0} x\underset{b}{-8}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
