Answer: There is a positive strong correlation
Step-by-step explanation: i learned that i think
You can use the definition of correlation coefficient which is just a constant value giving idea about how correlated two data sets' values are.
The correlation coefficient 0.9532 shows that the values are too much correlated(positively).
What is correlation coefficient and how to interpret it?Correlation coefficient is a measure of how similar two datasets are acting.
The range of correlation coefficient is [-1, 1]
When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated. One data increases, other data starts decreases in the opposite direction.When the correlation coefficient comes out below 0, values are negatively correlated.If the correlation coefficient comes out as 0, that means both the data sets are uncorrelated with respect to how we compare them.When the correlation coefficient comes out > 0, that means both datasets' values are positively correlated.If correlation coefficient comes out as 1, then the values grow exact similarly, in the same direction.Since given correlation coefficient s 0.9532 which is too close to 1 compared with closeness to 0, we conclude that the set of data containing paired values have highly positive correlated values.
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Raul can hit a golf ball 26.4 yards.A.J. can hit a golf ball 10 times as far how far can A.J. hit the ball
You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system
Answer:
hello your question is incomplete attached below is the complete question and solution
answer : general solution ( X ) = \(C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.\)
Step-by-step explanation:
attached below is the detailed solution to determine the general solution of the given system
general solution ( X ) = \(C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.\)
How many apples are left after disturbing 17985 apples for 134 person?
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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What are the x-coordinates to the solutions of the system of equations:
x + y + 10 = 0
x ^ 2 + y - 2 = 0
A) x = - 4, -3
B) x= 4, 14
C) x= -3, 4
D) x= -3, -7
Answer:
C
Step-by-step explanation:
x + y + 10 = 0 ( subtract x + 10 from both sides )
y = - x - 10 → (1)
x² + y - 2 = 0 → (2)
substitute y = - x - 10 into (2)
x² - x - 10 - 2 = 0
x² - x - 12 = 0 ← in standard form
(x - 4)(x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 4 = 0 ⇒ x = 4
If triangles ABC and DEF are similar, what is y? Show your work.
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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Write a recursive formula for an, the nth term of the sequence 50, -10, 2, ....
a1
an
11
Answer:do homework
Step-by-step explanation:
Find the value of win the isosceles triangle shown below.
8
8
7
8
LA
Choose 1 answer
Answer:
x=6.93
Step-by-step explanation:
use the Pythagorean theorem
8^2=(0.5 x 8)^2+x^2
64=16+x^2
x^2=48
x=6.93
Answer:x= Square root 48
Step-by-step explanation:
Is 8/17 a rational number
Answer:
Rational number.
Step-by-step explanation:
In order to be a rational number, a number needs to be expressible as a ratio of two integers with the denominator not being 0. Because both 8 and 17 are both integers and the denominator is not 0, it's a rational number.
Answer:
yes!
Step-by-step explanation:
both 8 and 17 are both integers.
One has $1000 in his bank account to use for education after high school he spends 3% of this amount every month how much money does he have in his account every month
Answer:
Every month, he will spend $30 of his $1000.
Step-by-step explanation:
The first thing I did was found out 3% of 1000. To do this, you need to move the decimal point in 3% over twice. Like this:
3 → .03
Then, multiply 1000 by .03.
1000 * .03 = 30
So, this means that he will spend $30 of his money each month.
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Exponential Function:
It is known that the concentration of anesthesia in human blood decreases exponentially according to the function \(f(x)=k* 0.95^{x}\) , where K is the initial amount of anesthesia in milligrams and X is the time in minutes since its administration, how many milligrams of anesthesia are left in the patient's blood after hour and a half if it is known that 60 mg of anesthesia is initially administered?
Answer:
0.59 mgStep-by-step explanation:
Given Function f(x)= k*0.95^xTo findf(x) when x= 1.5 hours and k = 60mgSolution1.5 hours = 90 minf(90) = 60*0.95^90 = 0.59 mg roundedGiven,
f(x) = k * 0.95^xTo find ;
f(x) when x = 1•5hrs k = 60 mgNow,
1•5 hrs = 90minSo,
f(90)= 60*0.95^90= 0.59 mg The required answer is 0.59mg .What is the surface area of the triangular prism?
Eye Color of Males Surveyed
Green
Blue
5
16
Brown
27
Eye Color of Females Surveyed
Blue
Brown
19
18
Green
3
What percent of students in the survey are either female or have green eyes? Round your answer to the nearest tenth.
About % are either female or have green eyes.
What percent of students in the survey are males who do not have green eyes? Round your answer to the nearest tenth.
About % are males who do not have green eyes.
Find the sum of these two percents.
The sum of these two percents is %.
The sum of the percentage of students who are either female or have green eyes and the percentage of males who do not have green eyes is approximately 99.7%.
How to determine the sum of these two percents.The sum of these two percents is %.Percentage of Females: (1918 / (1918 + 516 + 27)) * 100 = (1918 / 2461) * 100 ≈ 78.0%
Percentage of Students with Green Eyes: ((516 + 3) / (1918 + 516 + 27)) * 100 = (519 / 2461) * 100 ≈ 21.1%
Percentage of Students who are either Female or have Green Eyes: 78.0% + 21.1% ≈ 99.1%
Therefore, approximately 99.1% of students in the survey are either female or have green eyes.
Percentage of Males with Green Eyes: (516 / (516 + 3)) * 100 = (516 / 519) * 100 ≈ 99.4%
Percentage of Males who do not have Green Eyes: 100% - 99.4% ≈ 0.6%
Therefore, approximately 0.6% of students in the survey are males who do not have green eyes.
To find the sum of these two percentages:
Sum of Percentages: 99.1% + 0.6% ≈ 99.7%
Therefore, the sum of the percentage of students who are either female or have green eyes and the percentage of males who do not have green eyes is approximately 99.7%.
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For which value of x is this equation true?10 + x ÷ 3 = 12
Answer:
Hi
please mark brainliest ❣️
Thanks
Step-by-step explanation:
10 + x / 3 = 12
Cross multiply
10 + x = 12× 3
10 + x = 36
Collect like terms
x= 36 - 10
x = 26
A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of
40 employees is taken, determine the standard error.
948.68
325.25
9328.71
none of these
Answer:
umm not sure on this one either 9328.71
Step-by-step explanation:
Find the solution of the system for which
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
Write an exponential function
The exponential function for the data in the table is given as follows:
\(y = 0.0625(2)^x\)
How to define an exponential function?An exponential function has the definition presented as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.When the input x increases by one, the output y is doubled, hence the parameter b has the value given as follows:
b = 2.
The parameter a is the value of y when x = 0. When x = 1, the output is double when x = 0, as b = 2, hence:
2a = 0.125
a = 0.0625.
Thus the function is:
\(y = 0.0625(2)^x\)
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You’re assisting a craft vendor at a fair who sells 5 knit hats for $9.50 each. She then sells the sixth and seventh for $11.25 each, and the eighth and ninth for $8.75 each. At the end of the fair, she is charged 15% of her gross earnings for the booth space. How much money does she make after paying for the booth space?
She earned a total of:
\(5(9.50)+2(11.25)+2(8.75)=\$ 87.50\)
If she pays 15% for the booth space, she keeps 85%.
\(87.50(0.85) \approx \boxed{\$ 74.38}\)
1. Red Bird Cruises charges $85 per day plus a one-time fee of $75. King Cruise charges
$100 per day plus a fee of $30. Write and solve an equation to determine for what number
of days the charges for the cruises will be the same?
Which expression correctly shows how to rewrite log521 using a log base of 7?
log75log721
fraction numerator log subscript 7 end subscript 5 over denominator log subscript 7 end subscript 21 end fraction
log721log75
, fraction numerator log subscript 7 end subscript 21 over denominator log subscript 7 end subscript 5 end fraction,
log217log57
, fraction numerator log subscript 21 end subscript 7 over denominator log subscript 5 end subscript 7 end fraction,
log57log217
Answer: log7 21 / log7 5
I took one for the team and guessed, and got it right.
You are welcome future students.
The expression that correctly shows how to rewrite the logarithm \(\log_5{21}\), using a logarithm of base 7, with change of base, is given as follows:
\(\frac{\log_7{21}}{\log_7{5}}\)
How to change the base of a logarithm?To change the base of a logarithm, a new fraction is written, in which:
The numerator is the logarithm of the new base of the number that the previous logarithm was calculated.The denominator is the logarithm of the new base of the base of the previous logarithm was calculated.In this problem, the logarithm that will be calculated is:
\(\log_5{21}\)
Hence the number and the base of the logarithm are presented as follows:
The number is of 21.The base is of 5.With the change of the base to base 7, the numerator and the denominator of the fraction are given as follows:
Numerator: \(\log_7{21}\)Denominator: \(\log_7{5}\)Hence the simplified logarithm is presented as follows:
\(\frac{\log_7{21}}{\log_7{5}}\)
Meaning that the correct option is the second option.
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Simplify the algebraic expression: 4y + 6x + 5x - 2y
Answer:
11x+2y
Step-by-step explanation:
Suppose that the following exponential function gives the dollar value of a certain house that is years old.
A decaying exponential function is modeled as follows:
y = a(1 - r)^t.
In which the parameters are given as follows:
a represents the initial value.r represents the decay rate, as a decimal.For this problem, the function is defined as follows:
y = 476000(0.81)^t.
Hence the values of the parameters are given as follows:
a = 476000, r = 0.19, meaning that the percent decay is of 19%.
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2) A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (y) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
NEED HELPS ASAP PLS AND THANK U
Answer:
D)
Step-by-step explanation:
y = 12x.
A) x=8, so that y = 12(8) = 96. It's on the line
B) x = 10, so that y = 12(10) = 120. It's on the line
C) x = 15, so that y = 15(12) = 180. It's on the line
D) x = 18, so that y = 18(12) = 216, not equal to 206. So, the point is not on the line.
the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be
Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10
Step-by-step explanation:
Answer:
There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:
A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.
A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.
A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.
A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.
There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.
Evaluate:
-77 + (-46)
Answer:
-77 + (-46)
=> -77 - 46 (When you add two negative integers, it is the same thing as subtracting a positive integer with a negative integer)
=> -123 (Because a negative + a negative = a negative)
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= -77 + ( - 46 )
= - 77 - 46 ( a positive integer and a negative integer makes a negative integer )
= -123 ( two negative signs resulted in the usage of addition )
Therefore , -77+ (-46) = -123
If 20 – r = 15, what is the value of 3.r ?
Answer:
3r =15
Step-by-step explanation:
r=20-15
r=5
3r=3×5
3r=15
pls follow
Answer:
r = 5
Step-by-step explanation:
20 - r = 15
+ r + r
20 = 15 + r
-15 -15
5 = r
My little sister’s homework and the stuff I’ve put is wrong
The area of the rectangle is (14 + 1/3) square yards.
How to get the area of the rectangle?We know that for a rectangle of length L and width W, the area is:
A = L*W
Here we know that:
L = (4 + 2/3) yards.
W = (3 + 1/4) yards.
We just need to take the product between these two numbers, we will get:
area = (4 + 2/3)* (3 + 1/4) yd²
Expanding the product:
(4 + 2/3)* (3 + 1/4) yd² = [ 4*3 + 4*(1/4) + (2/3)*3 + (2/3)*(1/4)] yd²
= [ 12 + 1 + 2 + 2/6] yd²
= (14 + 1/3) yd²
That is the area of the rectangle.
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help help help help please i need it :) !!
Answer:
Step-by-step explanation:
Area of the field = pi * r^2
r = 230/2 = 115
Area of the field = 3.14 * 115^2 = 41526.5 square feet.
Number of bags = 41526.5/400 = 103.82 bags
The average horse requires 0.0333 Megacalories (Mcal) each day for every kilogram (kg) it weighs. If your horse weights 678 kg, and the food you are buying provides 810 kcal per pound of food, how many pounds of food do you need each day for your horse?
Use the following facts:
1000 kcal = 1 Mcal
1 pound food = 810 kcal
0.0333 Mcal = 1 kg horse
Round to the nearest whole number.
On solving the provided question, we can say that Therefore, you would need multiply approximately 27.84 pounds of food each day for your horse.
what is multiplyOne of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."
First, we need to convert the weight of the horse from kilograms to pounds, so:
678 kg x 2.20462 lbs/kg = 1495.69 lbs
Next, we need to calculate how many Mcal the horse needs per day:
0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day
Then, we can convert the Mcal to kcal:
22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day
Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:
22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day
Therefore, you would need approximately 27.84 pounds of food each day for your horse.
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