The highest temperature ever recorded for a person with a fever who survived was 115 degrees. Alternatively, the lowest temperature ever recorded on a patient who survived was 56.7 degrees. If the average temperature is 98.6 degrees, which extreme temperature was furthest from the norm? How much further?
Answer:
the minimum temperature was furthest from the norm. it was 23.5 degrees further
Step-by-step explanation:
difference between the max and median = 115-98.6 = 16.4
difference between the median and minimum = 98.6 - 58.7 = 39.9
the difference between the median and minimum (39.9) is greater than the distance between the maximum and median (16.4). thus, the minimum temperature was furthest from the norm. the difference in differences is 39.9 - 16.4 = 23.5 degrees. this means that the minimum temperature was 23.5 degrees further away from the norm than the maximum was
What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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What the expression for 11 fewer than a number b
Answer:
b-11
Step-by-step explanation:
fewer here means subtraction
Please help i give brainliest
Answer:
there are 4 labeled points on the ray
Step-by-step explanation:
as you can see B point that is one A that is another point C that is another D point and that is the last one
hope I helped
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Can someone please help me with this question?
Answer:
hectors toy
Step-by-step explanation:
0.7 is equal to 0.70 and 0.72 > 0.70
I need to write a proportion to the following problem:
3 folders cost $2.91. What written proportion would help determine the cost of 2 folders?
Answer:
The cost of two folder is $ 1.94
Solution:
Given that 3 folders cost $ 2.91
We have to determine the cost of 2 folder
From given,
Cost of 3 folder = $ 2.91
To find the cost of 1 folder, divide 2.91 by 3
Thus cost of 1 folder is $ 0.97
We are asked to find cost of two folders.
Therefore, multiply cost of 1 folder by 2
Thus cost of two folder is $ 1.94
Question 15 (1 point)
The surface area of a sphere varies directly with the square of its radius. A soap bubble with a
0.75 in. radius has a surface area of approximately 7.07 square inches. Find the value of k, and
then find the radius of a seventeenth-century cannonball that has a surface area of 113.1
square inches.
Answer:
The value of k is 12.57Radius of a seventeenth-century cannonball is 2.999 inches which can be rounded off to 3Step-by-step explanation:
Let s be the surface area and r be the radius
Then according to given statement
s∝r²
Removing the proportionality symbol introduces k, the constant of proportionality
\(s = kr^2\)
Now
A soap bubble with a 0.75 in. radius has a surface area of approximately 7.07 square inches.
Putting in the equation
\(7.07 = k (0.75)^2\\7.07 = k * 0.5625\\k = \frac{7.07}{0.5625}\\k = 12.5688..\\k = 12.57\)
The euqation beomes
\(s = 12.57r^2\)
Putting s = 113.1 in the equation
\(113.1 = 12.57r^2\\r^2 = \frac{113.1}{12.57}\\r^2 = 8.99761...\\\sqrt{r^2} = \sqrt{8.9976..}\\r = 2.9996..\)
Hence,
The value of k is 12.57Radius of a seventeenth-century cannonball is 2.999 inches which can be rounded off to 31. Show using the preimage theorem that the tangent space to the Stiefel manifold of orthonormal 2 -frames inRnat a point[v1,v2], is the vector space of vectors(u,w)∈Rn×Rnsatisfyingv1⋅uv2⋅wv1⋅w+v2⋅u=0=0=0.
As a result, the set of all [u, w] Rn Rn satisfying the previous equation is the tangent space to F at [v1, v2] by using preimage theorem.
Let F be the Stiefel manifold of orthonormal 2-frames in Rn to apply the preimage theorem. The collection of all tangent vectors to curves passing through [v1, v2] in F is what is known as the tangent space T[F] at a location [v1, v2]. Let (t) be a straight line in F such that (v1, v2) is a smooth curve. The tangent vector to t at time t = 0 is then given by
γ′(0) = [u, w] ∈ T[F].
We must now determine the requirements that [u, w] must meet in order to be in T[F]. Assume that V is a matrix with columns named v1 and v2. If Q is an orthogonal matrix, then any orthonormal 2-frame [v1′, v2′] in Rn can be represented as VQ. The category to which [v1′, v2′] belong Q is a 2 by 2 matrix with determinant 1, and F is equivalent to Q. Given that Q(0) = I, let Q(t) be a smooth curve in SO(2). Then, there is
γ(t) = VQ(t) (t),
and
γ′(0) = VQ′(0) (0).
We have Q since Q(t) is orthogonal (t)
TQ(t) = I, indicating
Q′(0)T + Q′(0) = 0.
Let [u, w] T[F] now. Once this is the case, a smooth curve Q(t) in SO(2) exists with Q(0) = I and
[u, w] = VQ′(0) (0).
Applying the equation above, we obtain
v1uv2w plus v1wv2u equals 0.
As a result, the set of all [u, w] Rn Rn satisfying the previous equation is the tangent space to F at [v1, v2].
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Need help. This please
The domain of the quadratic function in this problem is given as follows:
All real values.
How to obtain the domain of the function?The domain of a function is the set of all the possible input values that can be assumed by the function.
On the graph, the domain of the function is given by the values of x of the function.
A quadratic function has no restrictions on the domain, hence it is defined by all the real values.
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Guys please help (7thgrademath) both of the ones 1-10
Hello!
Answer:
1. first u want to distribute the 3
3(n+4)+2
3n+12+2
Then add 12 and 2
3n+14
2. again, distribute
5(w+2)+3w-4
5w+10+3w-4
subtract
5w+10-4+3w-4-4
combine like terms
5w+3w+6+3w+3w
8w+6
3. distribute
3(w-2y)+w+4
3w-6y+w+4
Combine like terms
4w-6y+4
these are the first 3. if this is not what you wanted pls reach out! Hop this helps! :)
Answer:
see pictures
Step-by-step explanation:
6. Yenni bought some apple pies for $13 and had some money left. If she
buys 1 more apple
pie, she would have $0.20 left. If she decided to buy 3
more apple pies, she would be short of $1.80.
(a) How many apple pies did she buy with $13?
(b) How much money did Yenni have at first?
Answer:
A) Since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.
B) Yenni had $ 14.20 at the beginning.
Step-by-step explanation:
Since Yenni bought some apple pies for $ 13 and had some money left, and if she buys 1 more apple pie, she would have $ 0.20 left, while if she decided to buy 3 more apple pies, she would be short of $ 1.80, for To determine how many apple pies did she buy with $ 13, and how much money did Yenni have at first, the following calculations must be performed:
0.20 - (-1.80) = X
0.20 + 1.80 = X
2 = X
2/2 = 1
Therefore, since each apple pie costs $ 1, with $ 13 Yenni bought 13 apple pies.
13 + 1 + 0.20 = 14.20
14.20 - 13 = 1.20
In turn, Yenni had $ 14.20 at the beginning.
A store has a sale on paper cups, 2 packs for $15.00. There are
100 cups in each pack.
How many cups are you purchasing?
Answer:
15/2=7.5
7.5/100=0.075
0.075$ per cup.
-TheOneandOnly003
Hope this answer helps you :)
Have a great day :)
Mark brainliest
You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.
Which measure of center is most appropriate, and what is the value of the measure of center?
A median; $1.35 million
B mode; $1.5 million
C median; $2.15 million
D mean; $4.9 million
E mean; $5.58 million
The data set is as follows, going from smallest to largest:
$1,2,000,000, $1.5,000,000, $1.5,000,000, $2.8,000,000, $3.5,000,000, and $18,9,000,000
The middle two figures are $2.8 million and $3.5 million because the data set has six items. These two values' average is:
($2.8 million plus $3.5 million) / 2= $1.35 million.
As a result, the median serves as the most accurate measure of the centre, and its value is $1.35 million. The median price is (A), or $1.35 million.
Describe Standard Deviation.Standard deviation is a statistical measure that indicates how much the values in a dataset deviate from the mean or average value of the dataset. It measures the spread or variability of the data around the mean.
The standard deviation is calculated by taking the square root of the variance of the dataset. The variance is the average of the squared differences between each data point and the mean. In other words, it measures how much the data points vary from the mean squared.
The formula for calculating the standard deviation is:
Standard deviation = sqrt( Sum \((x - mean)^2\) / (n - 1) )
where x is each data point in the dataset, mean is the average value of the dataset, and n is the number of data points in the dataset.
A higher standard deviation indicates that the values in the dataset are more spread out or have more variability, while a lower standard deviation indicates that the values are more tightly clustered around the mean.
Standard deviation is widely used in statistics and data analysis to measure the variability of data and to compare the spread of different datasets. It is used to assess the degree of risk and uncertainty associated with a given set of data, and it plays a crucial role in various fields, such as finance, engineering, and social sciences.
Given that we have a range and a standard deviation for the annual contracts obtained for the sports agent's clients, we can use these measures to determine the most appropriate measure of center.
The range is the difference between the largest and smallest values in the data set, which in this case is 17.7. The standard deviation is a measure of the spread of the data around the mean, which in this case is 6.3.
If the range is relatively small compared to the standard deviation, then the mean is the most appropriate measure of the center, since it takes into account the value of every data point. However, if the range is relatively large compared to the standard deviation, then the median is a more appropriate measure of center since it is less affected by extreme values in the data set.
In this case, the range of 17.7 is relatively large compared to the standard deviation of 6.3, which suggests that the median is the most appropriate measure of the center. We can find the median by arranging the data set in order from smallest to largest and finding the middle value. If there are an even number of values, we take the average of the two middle values.
The answer (B) mode; $1.5 million is incorrect because there are two modes ($1.5 million appears twice). The answers (D) mean; of $4.9 million and (E) mean; of $5.58 million are incorrect because the range is relatively large compared to the standard deviation, which indicates that the mean may be influenced by the extreme values in the data set.
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Emma and Lauren read a total of 47 books. Emma reads 17 more books than Lauren. Enter the number of books lauren read
Answer:30
Step-by-step explanation:47-17 = 30
Graph the line with slope 1/3 and y-intercept −2.
The graph of the function y = 1/3x - 2 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Slope = 1/3y-intercept = -2So, the equation is
y = 1/3x - 2
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of 1/3Shifted down by 2 unitsNext, we plot the graph using a graphing tool by taking note of the above transformations rules
The graph of the function is added as an attachment
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Production possibilities curve graph
Answer:
?????????????????:))
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8%
interest, what is the immediate effect on the money supply?
A. It is increased by $64,800.
B. It is decreased by $60,000.
C. It is increased by $60,000.
D. It is decreased by $64,800.
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8% interest, the immediate effect on the money supply is B. It is decreased by $60,000.
What decreases the money supply?One of the monetary factors that decreases the money supply in the economic is when the Federal Reserve raises the banks' reserve requirements.
Another factor that can decrease the money supply is the sale of treasury bonds to banks.
Raising the interest rates also decreases the money supply.
Thus, by selling $60,000 in Treasury bonds to a bank at 8% interest, it decreases the money supply.
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solve the following
Please Help ASAP
Find the expected value of the
random variable with the
following probability distribution:
0
1
2
3
4
5
6
7
8
P
.03
.15
.27
.20
.13
.10
.07
.03
.02
Answer:
3.1
Step-by-step explanation:
In order to solve for this expected value, you need to do:
(0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)
Meaning that it is:
0+.15+.54+.6+.52+.5+.42+.21+.16
Which equals to: 3.1
Also: Feel free to correct my answer by any means, I feel like I got some parts wrong.
Answer:
The answer is, 3.1
Step-by-step explanation:
Definition of probability distribution:A probability distribution is a statistical function that describes all of the potential values and probabilities for a random variable within a particular range.
To find this predicted value, you must do the following:\((0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)\)
That is to say, it is:
\(0+.15+.54+.6+.52+.5+.42+.21+.16\)
3.1 is the value of the random variable.
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A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.
B.
The location of the scuba diver in relation to sea level was feet.
C.
The location of the scuba diver in relation to sea level was feet.
D.
The location of the scuba diver in relation to sea level was feet.
Answer:
A, B, C, and D
Step-by-step explanation:
all answer choices are the same
if y is directly porportional to x^2 and the difference in the values of y when x=1 and x=3 is 32, find the value of y when x=-2
Answer:
Step-by-step explanation:
y=kx²
y₁=k(1)²=k
y₃=k(3)²=9k
y₁-y₃=k-9k=32
-8k=32
k=-4
y=-4x²
y₋₂=-4(-2)²=-16
Express cos 543 as a function of the reference angle.
Question 3 options:
cos183
-cos-3
cos-3
-cos3
\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)
Here's the solution :
\(\qquad \sf \dashrightarrow \: \cos(543 \degree) \)
\(\qquad \sf \dashrightarrow \: \cos( 360 \degree+ 183 \degree)\)
\(\qquad \sf \dashrightarrow \: \cos(183 \degree) \)
\(\qquad \sf \dashrightarrow \: \cos(180 \degree + 3 \degree) \)
\(\qquad \sf \dashrightarrow \: - \cos(3 \degree) \)
Therefore, the correct choice is D
Solve the following equation for w
3w-7= √8w-7
Step-by-step explanation:
to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)
to make sure the answer
substitute w = 14/9 and w = 4 to the equation.
if w = 14/9
\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)
we know that if we substitute w = 14/9, the answer is not the same.
if w = 4
\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)
if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4
#CMIIWThere are 16 equally likely outcomes on a spinner, numbered 1 through 16. What are the odds against stopping on a number less than 12?
The odds against stopping on a number less than 12 is 5 ; 11
How to determine the odds against stopping on a number less than 12?From the question, we have the following parameters that can be used in our computation:
Sections in the spinner = 16
This means that the probability of getting a number less than 12 is
P(Number less than 12) = Sections less than 12/Sections in the spinner
There are 11 sections less than 12
So, we have
P(Number less than 12) = 11/16
When represented as odds, we have
P(Number less than 12) = 16 - 11 : 11
Evaluate the difference
P(Number less than 12) = 5 : 11
Hence, the odds against stopping on a number less than 12 is 5 ; 11
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
Answer:
Step-by-step explanation:
which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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a pyramid has a height of 5 inches and a volume of 60 cubic inches ?
Answer:
36 square inches.
Step-by-step explanation:
volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
If a store marks up merchandise by 40% on cost, what is the markup in dollars on an item costing $80?