Answer:
A = 33
B = 38
C = 5
D = 18
E = 30
F = 79
G = 56
H = 170
Step-by-step explanation:
See attached image.
Students in Mrs. Anderson’s health class are learning about how exercise affects your heart rate. Twelve students ran around the school track for different lengths of time. Then they measured their heart rates in beats per minute. Heart Rate Record Minutes Heart Rate (bpm) 7 121 8 136 7 122 4 96 3 90 6 120 7 118 4 98 2 84 5 110 7 118 8 128 Find the correlation coefficient of the data. Round to the nearest hundredth
Answer:
While resting, his heart rate is at 60 bpm. After sprinting, his heart rate is at 130bmp. The difference is 130 - 60 = 70
Step-by-step explanation:
i hope this helps
The correlation coefficient of the given data about time and heart rates is 0.98.
What is correlation coefficient?A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable expect change to the value of another.
How to calculate correlation coefficient?We have been given time and heart rates of students in Mrs. Anderson's health class and we have to find the value of correlation coefficient.
The formula by Karl Pearson to calculate correlation coefficient is as under:
Correlation coefficient=
=∑(x-x bar)(y-y bar)/[tex]\sqrt{sum(x-x bar)^{2} } \sqrt{sum(y-y bar)^{2} }[/tex]
We have to calculate figures required to fill in the formula which are:
∑(x-x bar)(y-y bar)=350
∑[tex](x-x bar)^{2}[/tex]=44.67
∑[tex](y-y bar)^{2}[/tex]=2872.25
Correlation coefficient=350/[tex]\sqrt{44.67} \sqrt{2872.25}[/tex]
=350/6.68*53.59
=350/357.98
=0.977
After rounding off to nearest hundred it will be 0.98.
Hence the correlation coefficient of the data about time and heart rate is 0.98.
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find the length of the missing side.
1) 52 cm
2) 42cm
3) 25 cm
4) 48 cm
Answer:
52 cm
Step-by-step explanation:
Use the pythagorean theorem to solve for missing sides in a right triangle.
20²+48²= missing side
20²+48²=2704
Take the square root of 2704 to get the missing side.
[tex] \sqrt{2704 } = 52[/tex]
Answer :
52 cm⠀
Explanation :
This is Right Angled Triangle.⠀
Solution :
We'll solve this using the Pythagorean Theorem.
where,
AB (20 cm) is the perpendicularBC (48 cm) is the Base.AC is the Hypotenuse.⠀
We know that,
[tex]{\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} } \\ \\ [/tex]
Now, we will substitute the given values in the formula :
[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = (20) {}^{2} +( 48) {}^{2} } \\ \\ [/tex]
We know that, (20)² = 400 and (48)² = 2304. So,
[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 400 + 2304 } \\ \\ [/tex]
Now, adding 400 and 2304 we get :
[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 2704 } \\ \\ [/tex]
Now, we'll take the square root of both sides to remove the square from AC :
[tex]{\longrightarrow \sf \qquad \sqrt{ (AC) {}^{2}} = \sqrt{2704} } \\ \\ [/tex]
When we take the square root of (AC)² , it becomes AC,
[tex]{\longrightarrow \sf \qquad AC = \sqrt{2704} } \\ \\ [/tex]
We know that, square root of 2704 is 52 .
[tex]{\longrightarrow \sf{\pmb{ \qquad AC = 52 }}} \\ \\ [/tex]
So,
The measure of the missing side (AC) is 52 cm .olive oil is $7.98 for 36 ounces. What is its unit rate? Round your answer to the nearest cent
Answer:
22 cents
Step-by-step explanation:
Rounding the number $0.2217 to the nearest cent, we get $0.22.
3. Two ocean beaches are being rected by crosionThe table shows the winteet of each beach measured at high tide where 1905 is represented by year
Year number
Western Beach width (info
Dunes Beach width (in feet)
100
20
25
5
90
70
10
80
13
75
12
76
30
15
70
95
A Describe the patterns shown by the crosion data measurements shown for each of the beaches in the table
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant what can you do to get a becer approximation of when the two beaches will have the same wich?
Answer:
Answer given in the image below
I hope my answers helps you.
a soccer ball went on sale from 30 to 24 by what percentage was the price of the soccer ball reduce
Answer:
20%
Step-by-step explanation:
It was reduced by 20%. 24 is 80% of 30.
Does anyone know if this is right?
In the diagram below, m//n. Select all of the angles that are congruent to 21
Not sure about Angle. 13
(3.6×10−5)÷(9×10−7) in Standard Form
Answer: 31/83 (decimal form 0.373494)
Step-by-step explanation:
first to answer correctly will be marked brainliest
Answer:
I have no clue but i need brainliest
Step-by-step explanation:
Annabelle missed 30 questions on her multiple choice science final that had a total of 200 problems. What percentage of questions did Annabelle answer correctly?
Answer:
Annabelle answered 85% of the answers correctly.
Step-by-step explanation:
You would do 200-30 questiosn to get 170 questions that she answered right. You would then do 170/200 to get 0.85. 0.85 in decimal form is equal to 85%. I hope this helps! :)
The angle of elevation to a nearby tree from a point on the ground is measured to be 52
∘
∘
. How tall is the tree if the point on the ground is 82 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
The elevation and the top of the tree form a right triangle
The height of the tree is 104.96 feet
How to determine the height of the tree?The given parameters are:
Angle of elevation = 52 degreesHorizontal distance (b) = 82 feetThe height (h) of the tree is calculated using the following trigonometry ratio
tan(α) = h/b
Make h the subject
h = b * tan(α)
Substitute known values
h = 82* tan(52)
Evaluate the product
h = 104.96
Hence, the height of the tree is 104.96 feet
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Answer:
Step-by-step explanation:
tan 52 = x/82
x= 82 x tan 52
x=104.96
2x+5y < 19 and x-2y <-9
Solve the system of equation and graph it.
Answer:
see attached
Step-by-step explanation:
The boundary lines and solution region are shown on the attached graph. It is convenient to let a graphing calculator plot them.
__
If you'd like to plot the boundary lines by hand, it is useful to note the equations for them are in standard form:
ax +by = c
This means the slope is m = -a/b, and the y-intercept is c/b. Here, the odd constant values mean that (most) intercepts will involve fractions.
2x+5y<19slope: -2/5
y-intercept: 19/5 = 3.8
points on the line: (7, 1), (2, 3)
The general form ...
x < ( ) . . . . means the line is dashed and shading is to the left.
__
x-2y<-9slope: 1/2
y-intercept: 9/2 = 4.5
points on the line: (1, 5), (-3, 3)
The general form ...
x < ( ) . . . . means the line is dashed and shading is to the left.
__
Solution RegionThe lines have slopes of opposite signs, so cross in a fashion that forms an "X" on the graph. Shading is left of both lines, so will be in the left quadrant of the X. The boundary lines are not part of the solution region.
_____
Additional comments
The boundary line will be solid when the inequalitiy includes the "or equal to" case. This is identified by the symbols ≤ or ≥. Here, we have the symbol <, which does not include the "or equal to" case, so the boundary line is dashed. (The same would be true for an inequality using >.)
To determine shading direction, it is convenient to pick a variable with a positive coefficient, and look at its relation to the inequality symbol. In the first inequality, we could choose either of ...
x < ( ) . . . . . shading left of the dashed liney < ( ) . . . . . shading below the dashed line__
In the second inequality, the only variable with a positive coefficient is x, and its relation to the inequality symbol is ...
x < ( ) . . . . . shading left of the dashed lineIf we were to rewrite the second inequality to give the y-variable a positive coefficient, we could get either of ...
y > ( ) . . . . . multiply by -1/2( ) < y . . . . . add the opposite of the y-termEither way, the shading is above the dashed line.
__
About points on the line:
The inequalities have odd constants (19, -9) and coefficients with different parity (one even, one odd). That makes it convenient to choose an odd value for the variable with the odd coefficient. The result will be an integer value for the variable with the even coefficient.
Joseph researched the ages of some of his favorite professional
football players. He recorded his results in the dot plot below.
Which of the following statements about the distribution are true?
I. There are two peaks at 27 and 28.
II. The distribution is skewed.
III. The distribution does not have an outlier.
IV. The distribution shows a spread of 5.
I only
I, II, and III only
I, III, and IV only
I, II, III, and IV
The statements that are true about the dot plot are: I, III, and IV only.
What is the Spread of a Data in a Dot Plot?The range, which is the difference between the maximum and minimum value, is a measure of the spread of a data distribution.
In the dot plot given, the spread of the data is: 30 - 25 = 5.
The peak points are at 27 and 28, and the data looks symmetrical in shape with no clear outlier.
Therefore, the statements that are true about the dot plot are: I, III, and IV only.
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• Write an expression that is equivalent to 3(7 + x).
3(7+ x) =
Step-by-step explanation:
3(7 + x) = 3×7 + 3x = 21 + 3x
remember, when you multiply two expressions, you need to multiply every term of the first expression with every term of the second expression, and then add all partial results (by considering the individual signs, of course).
Which loan has the lowest total repayment?
==========================================================
Explanation:
Refer back to this related question
https://brainly.com/question/27362373
In that link I detail how to find that
Loan A has a monthly payment of $348.50Loan B has a monthly payment of $518.02Loan A has a duration of 5 years, aka 5*12 = 60 months. Over those 60 months, you'll pay back a total of 60*348.50 = 20,910 dollars for loan A.
Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.
---------------
Summary total repayment
Loan A = 20,910 dollarsLoan B = 18,648.72 dollarsWe have loan B as the winner in terms of the lowest total repayment. The longer a loan is, the higher chances are that you'll pay back more in interest (thereby making the total repayment larger).
Answer :
Loan BExplanation :
Loan A's monthly payment → $348.50Loan B's monthly payment → $518.02Cost of Loan A repayment
Duration = 5 years = 5 x 12 = 60 monthsCost = 60 x 348.50 = $20,910Cost of Loan B repayment
Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.
Duration = 3 years = 3 x 12 = 36 monthsCost = 36 x 518.02 = $18,648.72Clearly, Loan B has the lowest total repayment.
0.021 +0.21 + 0.00021 +0.0021 = 0
O A. 0.0084
B. 0.084
OC. 0.2351
D. 0.23142
E. 0.23331
Answer:
E. 0.23331
Step-by-step explanation:
0.021 + 0.21 + 0.00021 + 0.0021⇒ As 21 is a common factor, take the remaining as powers of 10.
21 (10⁻³ + 10⁻² + 10⁻⁵ + 10⁻⁴)21 (0.001 + 0.01 + 0.00001 + 0.0001)21 (0.01111)21 x 0.011110.23331Find the area and the circumference of a circle with diameter 3ft.
Use the value 3.14 for pie, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Step-by-step explanation:
hello :
the circumference is :P=2pi×r=2×3.14×3= .... continu
Answer:
Area= 7.065ft^2
Circumference= 9.42ft
Step-by-step explanation:
The area of a circle is,
area=Pi*r^2
and the circumference,
circumference=2*Pi*r
with r being the diameter/2
so we get,
area=(3.14)(1.5)^2=7.065ft^2
circumference=2(3.14)(1.5)=9.42ft
The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c.what does the graph tell you about the value of a in this function?
Answer:
a is less than 0
Step-by-step explanation:
The value of a in this function is a is less than 0 .
What is radical function?A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.
According to the question
Radical function that can be written in the form
[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)
By solving this equation we will get value of a and c
differentiating the equation
[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]
therefore
[tex]((x+k)^{1/n-1}) > 0[/tex]
As graph is decreasing monotonically
[tex]\frac{a}{n} < 0[/tex]
as n will be always n>0 ,
so a < 0
Now taking value of f(x)= 0 in equation (1)
[tex]f(x)=a(x+k)^{1/n} +c[/tex]
[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex] as (a < 0)
[tex]0=-a(k)^{1/n} +c[/tex]
[tex]-c =-a(k)^{1/n}[/tex] multiplying (-1) both side
[tex]c =a(k)^{1/n}[/tex]
i.e
c > 0
Hence, the value of a in this function is a is less than 0 .
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I need help finding the mean
Answer:
there is 5 jokers
Step-by-step explanation:
the dot plot shows that
There are 5 cups of oatmeal in a container.Stella has1/3 cup of the oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container
What is the Pythagorean Theorem used for?
Answer:
Pythagorean Theorem used for finding the missing side length for a triangle the formula is a^2 + b^2 = c^2
a= base
b= height
c= the diagonal side a.k.a. hypotenuse
Answer:
u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye
Step-by-step explanation:
whats the slope of (0,1) and (3,-5)
Use substitution to solve the system.
-4x+5y = -26
y = 3x-14
Answer:
x= 4, y= -2
Step-by-step explanation:
To solve the system by substitution, start by labelling the two equations:
-4x +5y= -26 -----(1)
y= 3x -14 -----(2)
Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.
Substitute (2) into (1):
-4x +5(3x -14)= -26
Expand:
-4x +15x -70= -26
11x= 70 -26
11x= 44
Divide both sides by 11:
x= 44 ÷11
x= 4
Substitute x= 4 into (2):
y= 3(4) -14
y= 12 -14
y= -2
15. Starting at the age of 40, an average man loms 5% of his hair every year. At
what aye should an average man expect to have hall his hair left?
Answer:
I think 50 yrs old
Step-by-step explanation:
I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%
A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 3 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answer:
net loss of 10
Step-by-step explanation:
stop 1 :
13 off
5 on
7 net loss
stop 2 :
3 off
3 net loss
total net loss = 3+10
=10
Divide.
0.4) 29
Enter your answer as a decimal in the box.
Answer:
0.0138
Step-by-step explanation:
the division gives a value which is almost recurring hence we round off to get 0.0138
Answer:
72.5 (I did the math)
An oatmeal container is in the shape of a right circular cylinder. The radius of the base is 4 centimeters, and the height is 17 centimeters. What is V, the volume of the container in terms of π?
V =
π cm3
Answer:
V = 272 π cm^3
Step-by-step explanation:
r = 4 cm
h = 17 cm
V = πr^2h
V = π((4)^2)(17) cm^3 = 272 π cm^3
Factorise the following quadratic:
m^2 - 5m + 6
Answer:
(m-3)(m-2)
Step-by-step explanation:
Here,
m^2- 5m + 6
=m^2-(3+2)m +6
=m^2 - 3m - 2m +6
=m(m - 3) - 2 (m - 3)
=(m-3)(m-2)
What is the value of 1500 divided by (6 squared + 43) x 37
Rewrite : [tex]1500 : (6^{2} +43)[/tex] x 37
Simplify : [tex]1500 : 79[/tex] x 37 = 702.531646...
Round to :
- Nearest whole number : 703
- 1 d.p : 702.5
- 2 d.p : 702.53
- 3 d.p : 702.532
The value of the expression when 1500 divided by (6 squared + 43) x 37 using simplification is 702.531647.
A collection of constants, variables connected using one or more arithmetic operator is called an expression.
The way of writing the complex mathematical problems into simpler forms using certain way is called simplification.
Simplification is solved using BODMAS rule.
The expression 1500 divided by (6 squared + 43) x 37 can be written in mathematical form as:
[tex]\dfrac {1500}{((6)^2 + 43)} \times37[/tex]
This can be simplified as,
[tex]\dfrac {1500}{(36 + 43)} \times37[/tex]
[tex]\dfrac {1500}{79} \times37[/tex]
On further solving, it results to 702.531647.
The value of the given expression is 702.531647.
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How many lines of symmetry does the letter have?
0
1
2
3
What two factors add to -9 and multiply to 18
Answer:
3 × 6 = 18 3 + 6 = 9
Step-by-step explanation:
3 × 6 = 18 3 + 6 = 9