Answer:
a) 99.97%
b) 65%
Step-by-step explanation:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Mean of 98.35°F and a standard deviation of 0.64°F.
a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?
μ - 3σ
98.35 - 3(0.64)
= 96.43°F
μ + 3σ.
98.35 + 3(0.64)
= 100.27°F
The approximate percentage of healthy adults with body temperatures is 99.97%
b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?
within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
μ - σ
98.35 - (0.64)
= 97.71°F
μ + σ.
98.35 + (0.64)
= 98.99°F
Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%
Which point lies on the line -x+4y=-3
Answer:
3x+4y
gyhhuhyyb buhhujnjjijnjijhu
Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=High, M=Medium, and L=Low. Complete parts a and b below.
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
Required:
a. Using technology, construct a regression model using all three independent variables.
b. Complete the regression equation for the model below, where x3 represents the dummy variable Cond1, and x4 represents the dummy variable Cond2.
y= ____ + (____)x2+ (____)x3 + (____)x4
Answer:
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
Step-by-step explanation:
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
For regression analysis : all variables must be quantitative ;
X3 variable may be represented as thus;
L = 1 ; M = 2 ; H = 3
Hence ;
X3 = 3 3 1 2 1 2 1 1 2
y= ____ + (____)x2+ (____)x3 + (____)x4
Using the online multiple regression calculator :
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
From the general formular of a linear model:
y = w1x1 + w2x2 +... + wnxn + c = 0
Where c = intercept
w1,.. wn = weight of explanatory variable
Hence, the weights of x2 = 0.2068
Weight of x3 = 0.7995
Weight of x4 = - 3.607
Intercept = 6.6406
please help me lol aaaaa
Answer:
−0.125 or - 1/8
Step-by-step explanation:
which is bigger, 3/5 or 0.625
3х + 2y = 2
y = 4
Substitution
Answer:
x=-2
Step-by-step explanation:
hi! let's plug in 4 for y in the equation.
3x+2(4)=2
3x+8=2
3x=-6
x=-2
Answer:
x= -2
Step-by-step explanation:
you are going to substitute 4 in for y and then solve for x.
The following data represent the high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c).
Temperature Lower Limit Upper Limit Days
50-59 50 59 2
60-69 60 69 313
70-79 70 79 1419
80-89 80 89 1503
90-99 90 99 319
100-109 100 109 9
Required:
Approximate the mean and standard deviation for temperature.
Answer:
The mean is [tex]\= x = 79.7 [/tex]
The standard deviation [tex]\sigma =7.81[/tex]
Step-by-step explanation:
From the question we are told that
The data given is
Temperature Lower Limit Upper Limit Days
50-59 50 59 2
60-69 60 69 313
70-79 70 79 1419
80-89 80 89 1503
90-99 90 99 319
100-109 100 109 9
Generally the average of each limit is evaluated as
Temperature Lower Limit Upper Limit Average[tex](x_i)[/tex] Days[tex](f_i)[/tex]
50-59 50 59 ( 50 + 59 )/2 =54.5 2
60-69 60 69 (60+69)/2 = 64.5 313
70-79 70 79 (70+79)/2 =74.5 1419
80-89 80 89 (80+89)/2 =84.5 1503
90-99 90 99 (90+99)/2 = 94.5 319
100-109 100 109 (100+109)/2 = 104.5 9
Generally the mean is evaluated as
[tex]\mu = \frac{\sum x_i f_i}{\sum f_i}[/tex]
=> [tex]\mu = \frac{ (54.5 * 2) + (64.5 * 313) +\cdots +(104.5 * 9)}{2 + 313 +\cdots + 9}[/tex]
=> [tex]\= x = 79.7 [/tex]
Generally the standard deviation is evaluated as
[tex]\sigma = \sqrt{ \frac{\sum[ f_i * ( x_i^2 - \= x^2)] }{\sum f_i}}[/tex]
=> [tex]\sigma =\sqrt{ \frac{[2 * [(54.5)^2) - 79.7^2 ]]+[313 *[ (64.5)^2)-79.7^2] +\cdots +[9 *[ (104.5)^2)- 79.7^2] }{2 + 313 +\cdots + 9}}[/tex]
=> [tex]\sigma =7.81[/tex]
The mean and Standard deviation for the given data would be as follows:
μ [tex]= 79.7[/tex]
б [tex]= 7.81[/tex]
Frequency DistributionGiven that,
Temperature Lower Limit Upper Limit Days([tex]f_{i}[/tex])
50-59 50 59 2
60-69 60 69 313
70-79 70 79 1419
80-89 80 89 1503
90-99 90 99 319
100-109 100 109 9
Average([tex]x_{i}[/tex])
[tex]( 50 + 59 )/2 =54.5[/tex]
[tex](60+69)/2 = 64.5[/tex]
[tex](70+79)/2 =74.5[/tex]
[tex](80+89)/2 =84.5[/tex]
[tex](90+99)/2 = 94.5[/tex]
[tex](100+109)/2 = 104.5[/tex]
As we know,
Mean (μ) [tex]=[/tex] ∑[tex](x_{i} f_{i}) /[/tex]∑[tex]f_{i}[/tex]
[tex]= [(54.5[/tex] × [tex]2) + (64.5[/tex] ×[tex]313)+....(104.5[/tex]× [tex]9)][/tex][tex]/(2 + 313 + 1419 + ....9)[/tex]
∵ μ [tex]= 79.7[/tex]
As we know,
Standard Deviation:-
[tex]\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{f_{i} }}}[/tex]
by putting the values, we get
∵ б [tex]= 7.81[/tex]
Thus, μ [tex]= 79.7[/tex] and б [tex]= 7.81[/tex] are the correct answers.
Learn more about "Temperature" here:
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Profit is the amount of money that remains after all expenses of a project have been paid. Acme Construction has just completed the construction of a building, and Fred Jones, the project manager, is doing the final accounting. Acme bid $232,500 for the project and was awarded a contract for that amount. The cost of construction, including labor, building materials, and other expenses such as equipment rental was $198,468. What was the profit on this project?The total amount of profit is $______.
Answer:
$34032
Step-by-step explanation:
Acme bid $232,500 for the project and was awarded a contract for that amount.
The cost of construction, including labor, building materials, and other expenses such as equipment rental was $198,468.
We know that,
Profit = The amount of money that remains after all expenses of a project have been paid
Profit = $232,500-$198,468
= $34032
Hence, the profit is $34032.
GET AN EASY BRAINLIEST FIRST RIGHT GETS BRAINLIEST
Answer:
5
Step-by-step explanation:
5-9=(-4)
hope this helps :3
Answer:
Can i get a brainliest please? :·3
Step-by-step explanation:
I wasn't here on time
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For the function f(x)=ab^x, what are the possible values for b if the function is an exponential growth function? Please select two answers.
A) 1-0.00001
B) 0.9
C) square root of 2
D) 1/2
E) 1.1
Answer:
C and E
Step-by-step explanation:
the b value of an exponential function needs to be greater than one to be exponential growth
[tex] \sqrt{2} [/tex]
and 1.1 are the only 2 that are greater than one
The possible values for b are those that are greater than 1. The correct answers are square root of and 1.1, the correct options are C and E.
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
We are given that;
f(x)=ab^x
Now,
An exponential growth function is a function that increases as x increases. For the function f(x) = ab^x, this means that the base b must be greater than 1, so that the exponent x makes the function larger.
Therefore, by the exponential growth and decay the answer will be square root of 2 and 1.1
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The points (-2,-10) and (-1, v) fall on a line with a slope of 8. What is the value of v?
The required value of v is -2 for a given line with a slope of 8.
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given data as :
The points given are (-2,-10) and (-1, v).
Since the line with a slope of 8.
So in this case, we have:
m = (v - (-10)) / (-1 - (-2))
Solving for v:
8 = (v + 10) / 1
8 = (v + 10)
v = -10 + 8
Apply the subtraction operation, and we get
v = -2
Thus, the required value of v is -2.
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You have a coin with unknown probability p of coming up heads. You wish to generate a random variable which takes the values 0 and 1, each with probability 1/2. Assume 0 < p < 1. You adopt the following procedure. You start by flipping the coin twice. If both flips produce the same side of the coin, you start again. If the result of the first flip is different from the result of the second flip, you report the result of the first flip, and you are finished (this is a trick originally due to John von Neumann). (a) Show that, in this case, the probability of reporting heads is 1/2. (b) What is the expected number of flips you must make before you report a result?
Answer:
(a) Hence, the probability of reporting heads is 1/2.
(b) Therefore, the expected number of such trial is 1 / 2p (1 –p).
Step-by-step explanation:
Solution:
To generate a random variable takes value 0 and 1.
Let 0 < p <1,
A coin is flipped twice.
(a) Probability of reporting head is 1/2.
The result of two toss is either HT or TH.
In this case we used conditional property, Given that you got either HT or TH,
Probability of occurring head or tail:
P (1ST = H| HT or TH]
= P (H) / P (HT or TH)
= P (HT) / P (HT or TH)
= P (1-P) / P (1-P) + (1-P)P
= P (1-P) / 2P (1-P)
=1/2
Hence, the probability of reporting heads is 1/2.
(b) Expected number of flip before report a result.
The probability of reporting a result on each trial is:
P (HT or TH)
=P (HT) + P (TH)
=P (1-P) + (1 –P) P
= 2P (1 –P)
Since, E(X) = 1 / P
Therefore, the expected number of such trial is 1 / 2p (1 –p).
Typically, your car gets 32 mpg on the highway, how many gallons of gas did you use if you
traveled 1760 miles?
Answer:
13 gallons
Step-by-step explanation:
Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it
Answer:
yes
Step-by-step explanation:
Answer:
thank you
Step-by-step explanation:
:)
How many cubic yards of dirt will it take to fill a hole that is in the shape of a cube 3 yards on each side?
Answer:
27 yds^3
Step-by-step explanation:
Answer:
27 cubic yards
Step-by-step explanation:
3 x 3 x 3 = 27
can anyone help me
Answer:
A
Step-by-step explanation:
help asap!! answer
Rate of change is a ______ that describes how much one quantity ______ in respect to another
Answer:
A rate of change is a RATE that describes how one quantity CHANGES in relation to another quantity.capital and underlined is your answer
apple music sells music online. yesterday, its customers downloaded a total of 7,950 songs. today, they downloaded 5,883 songs. billy says that the percent of decrease in the two-day count of downloads is 35%. is billy correct or incorrect? explain your answer in a complete sentence.
Answer:Billy is correct
Step-by-step explanation:
Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please
Answer:
what questions need to be done? We need to know the problems before we answer them. :/
Drag the operator to the correct location on the image. Which operation results in a trinomial?
Answer:
-
Step-by-step explanation:
I took the test
The correct operator that enters a circle is a subtraction sign.
Given the expressions
[tex](4x^5-8x) ()(3x^2-8x+9)[/tex]
We need to know which sign goes into the bracket that will give a trinomial when simplified.
A trinomial is a function containing 3-terms.
Using the subtraction sign.
[tex](4x^5-8x) - (3x^2-8x+9)[/tex]
Expand
[tex]= 4x^5-8x - 3x^2+8x-9\\= 4x^5-3x^2-8x+8x-9\\=4x^5-3x^2+0-9\\=4x^5-3x^2-9[/tex]
Since the resulting term is a trinomial (3 terms), hence the correct operator that enters a circle is a subtraction sign.
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15,614+?=68,025
What is the total
Answer:
52411 that's the answer
Thanks ninofhghvhghvhv
Answer:
ok
Step-by-step explanation:
❤️
Answer:
okay jekwkwkwisjwjqkwkjskwwwkwkwkwk s wowowi
Question 1 Part A: How many beads did Jiao send out? *
Wooden Beads
Oak
4,525
Maple
6,950
Ash
3,720
Ebony
2,475
Bayong
1,250
Answer:
Jiao sent out 18,920 beads.
Step-by-step explanation:
All I did was add.
</3 hope this helps.
which is expression is equivalent to 1/5÷1/2
Answer:
2.5
Step-by-step explanation:
A sphere has a diameter of 8cm. Which statements about the sphere are true? Check all that apply.
• the sphere has a radius of 4cm.
• the sphere has a radius of 16 cm.
• The diameter’s length is twice the length of the radius.
• The radius’s length is twice the length of the diameter.
• The volume of the sphere 2048/3 pi. cm. cubed
• the volume of the sphere is 256/3 pi. cm. cubed
Answer:
The sphere has a radius of 4 cm.The diameter’s length is twice the length of the radius.The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.Step-by-step explanation:
Answer:
1. The sphere has a radius of 4 cm.
3. The diameter length is twice the length of the radius.
6. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.
6 hours and 30 minutes after 11;00 is what time
Answer:
5:30
Step-by-step explanation:
you go ahead and add the 30 minutes so you then have 11:30 plus 6 hours is 5:30 because it only goes to 12:00 and repeats.
Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *
y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4
9514 1404 393
Answer:
y = 2x - 4
Step-by-step explanation:
You want an equation with an x-coefficient that is not 1/2.
2/4 = 0.5 = 1/2
so, the first three answer choices don't meet problem requirements.
The line with equation ...
y = 2x -4
is not parallel to y = 1/2x -6.
Arachnophobia is the fear of spiders. People with arachnophobia suffer to different degrees, but they tend to react intensely to visible signs of the presence of spiders, such as webs. The director of a clinic decides to investigate different treatment types for arachnophobia. She gathers three groups of clients: One group receives in vivo flooding, which involves prolonged or repeated exposure to the actual anxiety-producing stimuli. The second group receives imaginal flooding, which involves the same techniques as in vivo flooding, except the exposure occurs in the client’s imagination. The third group receives no treatment. The results come in, and a statistician conducts an analysis of variance.
The ___________ is that there is no difference between the population means (in other words, there is no treatment effect).
The ___________is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).
Answer:
1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).
2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).
Step-by-step explanation:
In a statistical analysis, the statistician shares his participants into several groups and administers treatments to them. After administering the treatment, he might want to compare the values obtained to see if there is a difference. If he accepts the null hypothesis as true, that means that there was no difference between the population means. This can also be taken to mean that the result had no difference among the groups.
But if the alternative hypothesis was true, that means that the population means were not all equal and so, there was an effect from the treatment administered.
Answer:
1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).
2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).
2. Which of the following is an irrational number?
A. 3
B. 3.5
C. 36
D. 15
Answer:
C. 36
because can not be expressed as a ratio
Set up a system of linear equations, and then solve for the indicated quantities.
Three times the smaller of two numbers plus three times the larger number is – 15.
Six times the smaller number minus three times the larger number is – 21.
Find the numbers.
Let x represent the smaller number. Let y represent the larger number.
9514 1404 393
Answer:
smaller: -4larger: -1Step-by-step explanation:
Substituting the given variables into the word problem, we have two equations:
3x +3y = -15
6x -3y = -21
Adding these equations eliminates y:
9x = -36
x = -4 . . . . divide by 9
Using this in the first equation, we have ...
3(-4) +3y = -15
-4 +y = -5 . . . . . divide by 3
y = -1 . . . . . . . . . add 4
The smaller number is -4; the larger is -1.