The best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.
Since the sample is normally distributed and has a mean μ = 98.52 F and a standard deviation, σ = 0.727 F and we need to find the percentage of all womenat this university who have a body temperature more than 2 standards deviations above the mean.
The normal distribution
Since the sample is normally distributed, 50% of the sample is below the mean. We have 34% of the sample at 1 standard deviation away from the mean and 47¹/₂% at 2 standard deviations above the mean.
Percentage below 2 standard deviations away from mean
So, the percentage below 2 standard deviations from the mean is 50% + 47¹/₂% = 97¹/₂%.
Percentage above 2 standard deviations away from meanSo, the percentage above 2 standard deviations from the mean is 100% - 97¹/₂% = 2¹/₂% = 2.5 %
Since 2.28 % is the closest to 2.5 % from the options, the best estimate is 2.28 %.
So, the best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.
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The formula below gives the monthly payment m needed to pay off a loan of P dollars atr
percent annual interest over N months, Which of the following gives P in terms of m, r, and N?
Answer:
This day is going to be perfect
The kind of day of which I dreamed since I was small
Everypony will gather round
Say I look lovely in my gown
What they don't know is that I have fooled them all
Step-by-step explanation:
Graph the function. Then identify the domain and range of the function.
f(x)=3/8x^2
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{x|x∈R}
The range is the set of all valid y
values. Use the graph to find the range.
Interval Notation:
[0,∞)
Set-Builder Notation:
{y|y≥0}
Determine the domain and range.
Domain: (−∞,∞),{x|x∈R}
Range: [0,∞),{y|y≥0}
Plot the point (-1.3,-6.6)
Answer:
Step-by-step explanation:
Well, you would just go left 1.3 on the x axis then down 6.6 on the y axis. not sure how i can graph that on here, but that explanation should be good enough.
Which is the most efficient method substitution or elimination or graphing to solve the system of equation. Explain why the method you pick is the is the most efficient. 5x + 3y = 6 and -4x -3y = -3
Answer:
see explanation
Step-by-step explanation:
5x + 3y = 6 → (1)
- 4x - 3y = - 3 → (2)
the most efficient method here would be elimination.
add (1) and (2) term by term to eliminate y
x + 0 = 3
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (1)
5(3) + 3y = 6
15 + 3y = 6 ( subtract 15 from both sides )
3y = - 9 ( divide both sides by 3 )
y = - 3
solution is (3, - 3 )
Answer:
[tex](3,-3)[/tex]
Step-by-step explanation:
[tex]5x + 3y = 6[/tex]
The most efficient method for this equation is elimination.
[tex]x + 0 = 3[/tex]
[tex]5(3) + 3y = 6[/tex]
Substitute x = 3 into any of the equation and solve for y.
[tex]5(3) + 3y = 6[/tex]
[tex]15 + 3y = 6[/tex]
[tex]-15 -15[/tex]
[tex]3y = - 9[/tex]
[tex]\frac{3y}{3}=\frac{-9}{3}[/tex]
[tex]y=-3[/tex]
[tex](3,-3)[/tex]
Please help really quick I really need some help with this question
Answer:
first two are right because the scatterplots align well with both graphs in the direction described
Step-by-step explanation:
If y varies directly w x and y = -12 when x = 6 find x when y = -4
if amount is 7,500, time is 2years and rate is 10% then find principal?
Answer:
Principal = $9,152.93
Step-by-step explanation:
A = $9,152.93
A = P + I where
P (principal) = $7,500.00
I (interest) = $1,652.93
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 7,500.00(1 + 0.1/12)(12)(2)
A = 7,500.00(1 + 0.008333333)(24)
A = $9,152.93
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $7,500.00 at a rate of 10% per year compounded 12 times per year over 2 years is $9,152.93.
PLS HELP ME WITH THIS
You spend half of your allowance on Monday.
On Tuesday, you spend half of what is left.
Then on Wednesday, you spend half of what remains.
What fraction of your allowance do you have left? Choose the most reasonable answer.
Answer:
Assuming you want to know what fraction of the original amount you have.
a = allowance
(1/2)a = what have left after Monday
(1/2(1/2)a = what you have after Tuesday
(1/2)(1/2)(1/2)a = what you have after Wednesday.
Doing the multiplication.
(1/8)a = what you have left.
You have 1/8 of what you had at the start.
Hope this help u
Answer:
1/8 i think
Step-by-step explanation:
Classify/name the shape based on the number of sides and markings.
Hint: Two Words
Solve: 4 In x=2 In 25
Ox=5
O x = 25
O x = 625
•
•
•
• it’s A =5
•
•
•
Second part is
• it’s B =6
Answer:
x = 5Step-by-step explanation:
Solve the equation in steps as below4 ln x = 2 ln 252 ln x = ln 252 ln x = ln 5²2 ln x = 2 ln 5ln x = ln 5x = 518. Find the smallest angle in a triangle whose
sides are of length 3x, 4x and 6x.
Answer:
Step-by-step explanation:
The value of the smallest angle will be 26.38°.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
Given that the sides are 3x,4x and 6x. The smallest angle will be calculated as below,
( 3x )² = ( 4x )² + ( 6x )² - 2 (4x) ( 6x)cosθ
9x² = 16x² +36x² - 48x²cosθ
9 = 52 - 48cosθ
cosθ = 43 / 48
θ = cos⁻¹ (43/48)
θ = 26.38°
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#SPJ2
3. A Salesman Sold
$65,100 in bikes.
He eared a 20%
Commission. How
much did he earn?
Answer:
13020
Step-by-step explanation:
Need help on this question ASAP pleasee and thanks!
Answer:
Sorry but I don't know the answer too this question
100 points!!!! Whatbis the simplest form of x4y7/3√x10y4
Answer:
The last one.
Step-by-step explanation:
Answer:
y^5 cubed root x^2 y^2
Step-by-step explanation:
edge 2023
If three folders cost $2.91 help us determine how much is two floders
solve by factoring x^2 + 6x = -9 Hint: this is a double root
the answer isn't +/-15
Answer:
x = -3, -3
Step-by-step explanation:
[tex] {x}^{2} + 6x = - 9 \\ \\ \implies \: {x}^{2} + 6x + 9 = 0 \\ \\ \implies \: {x}^{2} + 3x + 3x+ 9 = 0 \\ \\ \implies \: x(x + 3) + 3(x + 3) = 0 \\ \\ \implies \: (x + 3)(x + 3) = 0\\ \\ \implies \: x + 3 = 0 \: \: or \: \: x + 3 = 0 \\ \\ \implies \: x = - 3 \: \: or \: \: x = - 3 \\ \\ \implies \: x = - 3, \: \: - 3[/tex]
In an election between two candidates, the winner received 65% of the 15,000 votes. The loser received the remaining votes. How many more votes did the winner receive than the loser?
Answer:The winner recieved 4,500 more votes than the loser
Step-by-step explanation:
Answer:
5,250
Step-by-step explanation:
The first step is to set up a porportion like this one
[tex]\frac{?}{15,000} \frac{65}{100}[/tex]
Next, you cross multiply and divide. 15,000 times 65 is 975,000
Then divide this by 100 which is 9750. This is the number of votes the winning candidate received. Subtract this number from 15,000 to get 5,250. Hope this helps!
1+1= ?
(just to see if this brainly.com works)
Answer:
2
Step-by-step explanation:
yes it actually works >□<
good day♡
Answer:
1 + 1 = 2
Step-by-step explanation:
:)
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 : 24
Andrew was taking a math quiz. There was a question on the quiz that had the
expression 8x – 9 – 12x + 5. Andrew's teacher told the class there was a typo
and the expression was supposed to have one set of parentheses in it.
-
1. Where could you put parentheses in 8x – 9 – 12x + 5 to make a new
expression that is still equivalent to the original expression? How do you know
that your new expression is equivalent?
2.
-
Where could you put parentheses in 8x - 9 - 12x + 5 to make a new
expression that is not equivalent to the original expression? List as many
different answers as you can.
Answer:
‐4(x+1)
Step-by-step explanation:
8x‐12x‐9+4
‐4x‐4
take common
‐4(x+1)
please help (AP Calc AB) will mark brainliest! image provided
Answer:
So I think your answer is Zero
I think it will help you.
A football is punted from a height of 3.5 feet about the ground with an initial velocity of 45 feet per second. This situation can be represented by the function h(t)=- 16t^2 + 45t + 3.5, where t is the number of seconds elapsed since the football was kicked. If the football is caught at a height of 5.5ft on the ball's descent, how long was the football in the air? Round to the nearest hundredth.
*show me how you did it not just the answer please
The time at which the ball was in the air for the two cases of being dropped and being caught are respectively; t = 0.05 s and t = 2.77 s
What was the time of descent?We are given the function to represent the given height as;
h(t)= -16t² + 45t + 3.5
Since the football is caught at a height of 5.5ft on the ball's descent, then;
-16t² + 45t + 3.5 = 5.5
⇒ -16t² + 45t - 2 = 0
From online quadratic equation solver, we have;
t = 0.05 s and t = 2.77 s
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Given the rectangle below, find the measure of
Answer:
I don't know honestly sorry
Step-by-step explanation:
I tried
What is the sum of the first 67 consecutive odd numbers
odd numbers are numbers which are divisible by 3,5,7 etc.....odd numbers between 60 and 70 are 63 65 67 and 69 the sum is 264
Find each missing measure, PLS help me my last question, i have like 7 pages of math to get done tonight pls help me with this ONE problem!!!!!
Answer:
m1: 35
m2: 77
m3:49
m4:77
m5:62
m6: 28
Step-by-step explanation:
So basically u can figure out that the angle opposite the 103deg thing is also 103. 360-2(103) = 154. Then 154/2 = 77 and u can work out the rest from there. good luck with the rest of the problems.
can someone help me pls. I will mark you branliest
Answer:
106
Step-by-step explanation:
Answer: 106
hope this helps my guy
Step-by-step explanation:
How many different 2-digit numbers can be formed with no digit repeated by using the digits 6, 1, 2, or 4?
Answer:
12
Step-by-step explanation:
61 62 64 16 12 14 26 21 24 46 41 and 42
If you you give sally 26 apple and take 13 apples away. How much apples would Sally have left? PLS HELP!!!!!!!!!
Answer:
she'd have 13 left hope this helps:)
Tell whether (-4, 3) is a solution of the system of linear inequalities.
Explanation:
Refer to the diagram below. The point (-4,3) marked in red is outside the blue shaded region. So it doesn't make both inequalities true, and therefore not considered a solution.
In contrast, a point like (-5,1) is a solution as it is in the shaded region.
Put another way, the set of all solution points must be below both the solid line and the dashed line. Points can be on the solid line, but must be adjacent to the blue shaded region. The fact (-4,3) is on the solid line doesn't count because its not below the dashed line.
List the potential solutions to 2 ln x = 4 ln 2 from least to greatest. X = and x =.
Answer:
x=-4 and x=4
Step-by-step explanation:
solution to equation is 4