Answer:
Explained below.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute correlation coefficient is:
[tex]r(X,Y)=\frac{Cov(X,Y)}{\sqrt{V(X)\cdot V (Y)}}[/tex]
[tex]=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{[n\cdot\sum X^{2}-(\sum X)^{2}][n\cdot\sum Y^{2}-(\sum Y)^{2}]}}[/tex]
Positive correlation is an association amid two variables in which both variables change in the same direction.
A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.
One millilitre has about 15 drops. One drop of
water has 1.67 x 1021 H,O (water) molecules.
Estimate the number of molecules in 1 litre of
water. Write down your answer in standard
form.
Answer:
25,576,050 water molecules
Step-by-step explanation:
multiply 1.67 by 1021 = 1705.07
multiply 1705.07 by 15 = 25,576.05
Now multiply 25,576.05 by 1000 (thats how many milliliters are in 1 liter) = 25,576,050
The number of water molecules is 2.505 x 10²⁵.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that one milliliter has about 15 drops. One drop of water has 1.67 x 10²¹ H, O (water) molecules.
Multiply 1.67 by 10²¹ = 1.67 x 10²¹
Multiply 1.67 x 10²¹ by 15 = 2.505 x 10²²
Now multiply 2.505 x 10²² by 1000 (that's how many mill liters are in 1 liter) 2.505 x 10²⁵.
Therefore, the number of water molecules is 2.505 x 10²⁵.
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If a = mg - kv²/ m find , correct to the nearest whole number the value of V when a= 2.8 ,m= 12 ,g = 9.8 and k= 8/3
Answer:
v = 22.59
Step-by-step explanation:
all you need is contained in this sheet
Answer:
Step-by-step explanation:
The town of Tola has a population of 45,000 and produces 6 tons of garbage each week. Express this information in terms of the function f
Complete question:
The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is measured in thousands of people. The town of Tola has a population of 45,000 and produces 6 tons of garbage each week. Express this information in terms of the function f
Answer:
The information of town Tola can be represented in function as 6 = f(45)
Step-by-step explanation:
Given;
population of Tola, p = 45,000
amount of garbage produced in tons per week, G = 6 tons = 6,000 kg
The function is given by;
G = f(p)
where;
G is the amount of garbage produced in tons per week
p is the population of Tola
Substitute in the given values into the function
6000 = f(45,000)
6 = f(45)
Therefore, the information of town Tola can be represented in function as 6 = f(45)
Determine whether the relation is a function. {(−3,−6),(−2,−4),(−1,−2),(0,0),(1,2),(2,4),(3,6)}
Answer:
The relation is a function.
Step-by-step explanation:
In order for the relation to be a function, every input must only have one output. Basically, you can't have 2 outputs for 1 input but you can have 2 inputs for 1 output. Looking at all of the points in the relation, we see that no input has multiple outputs, so the answer is yes, the relation is a function.
what is the distance between these two points? (0,0) (9,12)
Answer:
The distance between the two given points is 15 units.
Step-by-step explanation:
For this problem, we will use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now, let's plug in our coordinates.
[tex]d=\sqrt{(9-0)^2+(12-0)^2}[/tex]
Simplify the terms in the parentheses.
[tex]d=\sqrt{(9)^2+(12)^2}[/tex]
Simplify the exponents.
[tex]d=\sqrt{81 + 144}[/tex]
Add 81 to 144.
[tex]d=\sqrt{225}[/tex]
Solve the radical.
[tex]d = 15[/tex]
The distance between the two points is 15 units.
PLEASE HELP ASAP it is ze homework
Answer:
Figure d)
Monopars are figures that have just one set of parallel lines.
Step-by-step explanation:
It looks like all the figures in group 1 have one set of parallel lines. In group 2, they either have 0 or 2. In group 3, only d has just one set of parallel lines.
So monopars are figures that have just one set of parallel lines.
Mrs. diaz has 9 eggs. she cooks 5 eggs for breakfast. how many eggs are left? which model shows the problem?
Answer:
4
Step-by-step explanation:
9-4=5
hold up 9 fingers and take down 5
Rectangular Garden
A rectangular garden shown above is enclosed by
60
60
feet of fencing on three sides and by a wall on the fourth side. One of the sides of the garden that is perpendicular to the wall is
x
x
feet long. In terms of
x
,
x
,
what is the length, in feet, of the side of the garden that is against the wall?
Answer:
The length, in feet, of the side of the garden that is against the wall is(60 - x - CD) ft.
Step-by-step explanation:
Consider the diagram below.
The wall is labelled as AD, the side perpendicular to the wall is labelled as AB and the side against the wall is labelled as CB.
It is provided that the rectangular garden is enclosed by 60 feet of fencing on three sides.
That is,
AB + CB + CD = 60 ft.
⇒ x + CB + CD = 60 ft.
Then the length, in feet, of the side of the garden that is against the wall is:
x + CB + CD = 60 ft.
⇒ CB = (60 - x - CD) ft.
Answer: 60-2x
Step-by-step explanation:
Find the estimate and briefly explain your reasoning.
Estimate the cost of painting a homecoming float if the area to be painted is 9 feet
by 16 feet and a quart of paint that covers 53 square feet costs $11.99.
Answer:
$35.97
Step-by-step explanation:
Given:
Dimensions of homecoming float = 9 ft [tex]\times[/tex] 16 ft
Area covered by a quart of paint = 53 sq ft
Cost of a quart of paint = $11.99
To find:
Cost of painting the homecoming float = ?
Solution:
First of all, let us find the area of homecoming float which is to be painted.
Area = Length [tex]\times[/tex] Width = 9 [tex]\times[/tex] 16 = 144 sq ft
Quart needed to cover 53 sq ft = 1
Quart needed to cover 1 sq ft = [tex]\frac{1}{53}[/tex]
Quart needed to cover 144 sq ft = [tex]\frac{1}{53}\times 144 = 2.716 \approx 3[/tex]
So, 3 quarts will be needed.
Cost of 1 quart = $11.99
Cost of 3 quarts = $11.99 [tex]\times[/tex] 3 = $35.97
find the percentage increase from 150 to 210
Answer:
40%
Step-by-step explanation:
First you have to determine the increase as a number:
increase = new number - original number
That means you have an increase of 210 - 150 = 60
Then you will need to divide the increase by the original number and multiply the answer by 100:
% increase = increase ÷ original number × 100
That will give you: 60 ÷ 150 × 100 = 40
Please Help Brainlest
Answer:
A and C
I hope it helps ❤️
Answer: A and C
Step-by-step explanation:
Determine the answer by solving for x in each equation.
A. x + 4= 7 subtract 4 from both sides
-4 -4
x = 3
B. x/9 = 3 multiply both sides by 9
x=27
C. 5-x =2 subtract 5 from both sides
-5 -5
-1x = -3
x= 3
D. 8x = 32 divide both sides by 8
x = 4
E . x -10 = 7 Add 10 to both sides
+10 +10
x = 17
last math hw question
Answer:
(a) -5, 4
(b) no solution
Step-by-step explanation:
(a) x+5 will be zero when x = -5.
x-4 will be zero when x = 4.
The restricted values are: x = -5 and x = 4.
__
(b) We can simplify the difference of the two sides of the equation.
[tex]\dfrac{4}{x+5}+\dfrac{5}{x-4}=\dfrac{45}{(x+5)(x-4)}\\\\\dfrac{4(x-4)+5(x+5)}{(x+5)(x-4)}=\dfrac{45}{(x+5)(x-4)}\\\\\dfrac{9x+9}{(x+5)(x-4)}-\dfrac{45}{(x+5)(x-4)}=0\\\\\dfrac{9(x-4)}{(x+5)(x-4)}=0\\\\\dfrac{9}{x+5}=0\qquad\text{NO SOLUTION}[/tex]
__
The graph shows there are no values of x that cause the two sides of the equation to be equal (their difference to be zero).
Calculate the expected value E(X) of the given random variable X.
Forty-five darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit.
E(X) = _________
Answer:
E(X) = 9.
Step-by-step explanation:
That is 45 * (0.2) = 9.
The required expected value is given as 9 as per the given conditions.
Given that,
To Calculate the expected value E(X) of the given random variable X. Forty-five darts are thrown at a dartboard. The probability of hitting a bull's eye is .2. Let X be the number of bull's-eyes hit.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The expected value is the scenario predicting algorithm in maths that gives the prediction a value.
So,
According to the question,
E(x) = 0.2 × 45 = 9
Thus, the required expected value is given as 9 as per the given conditions.
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Solve the quadratic equation. 2(x−3)2−24=0
Answer: 12
Step-by-step explanation:
2x-6+2-24=0
2x-4-24=0
2x-24=0
+24 +24
2x/24
X=12
Answer:
Step-by-step explanation:
2(x-3)+2-24=0
2x-6+2-24=0
2x-28=0
x-14=0
x=14
I don't think was a quadratic, but correct me if I was wrong because the wording of the problem threw me off a bit. Hope it helped!
The equation y=3x and y=3x-3 represents what type of lines?
Answer: It represent Parallel lines which means it have no solution which also means they never intersect.
Step-by-step explanation:
y=3x will be going through the origin and y=3x-3 will be going through the y intercept -3.
Since the lines has the same slopes and different y intercept we will have no solutions.
Solve the equations to prove it.
First set them equal each other and solve for x.
3x - 3 = 3x
-3x -3x
-3 ≠ 0
As you can see -3 does not equal 0 so there will be no solution.
What happens when we add a negative number to another number?
Answer:
When you are adding a negative number to a negative number, it becomes subtraction, where you start from a negative point on the numbers line and move left.
Step-by-step explanation:
Answer:
when you add a negative number with a other number it gives you a positive number.
Step-by-step explanation:
What is radical 3 divided by radical 3
Any number, except 0, divided by itself is always 1
x/x = 1 where x cannot be zero, but it can be any other number you want.
William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
Answer:
731 miles
Step-by-step explanation:
To solve this, we can set up a proportion.
Let's name the number of miles he travels in 17 hours x for now.
8/344=17/x
Simplify 8/344
2/86=17/x
Cross multiply
86*17=2*x
2x=1462
Divide both sides by 2.
x=731
He would travel 731 miles in 17 hours.
Answer:
731 miles
Step-by-step explanation:
Proportions:
344 miles ⇒ 8 hours
W miles ⇒ 17 hours
W = 344*17/8
W = 731
Un productor agricola tiene que envasar huevos en cajas de 12, de 6 o de 30. Si sabemos que tiene un numero parecido a 1000 huevos, pero no mas que eso, ¿Cuantos huevos tiene que envasar?
Answer:
El productor tiene que envasar 960 huevos.
Step-by-step explanation:
Es necesario determinar el mínimo común múltiplo de 6, 12 y 30. En primer lugar, se determina cada número como productos de números primos:
[tex]6 = 2\times 3[/tex]
[tex]12 = 2^{2}\times 3[/tex]
[tex]30 = 2\times 3\times 5[/tex]
El mínimo común múltiplo es:
[tex]M.C.M. = 2^{2}\times 3\times 5[/tex]
[tex]M.C.M. = 60[/tex]
El número total de huevos próximo a 1000 unidades es un múltiplo del mínimo común múltiplo:
[tex]n = 60\times 16[/tex]
[tex]n = 960[/tex]
El productor tiene que envasar 960 huevos.
How does 0.9 relate to 0.09?
Answer: The 0.09 is 1/10 of 0.9
Step-by-step explanation:
You can see by the decimal point that it moved so from 0.9 to 0.09 it has moved once.
Assume that any variable exponents represent whole numbers. Factor the greatest common factor from the polynomial.
Question:
Assume that any variable exponents represent whole numbers. Factor the greatest common factor from the polynomial.
[tex]9x^4 -6x^2[/tex]
Answer:
[tex]3x^2(3x^2 -2)[/tex]
Step-by-step explanation:
Given
[tex]9x^4 -6x^2[/tex]
Required
Factorize
[tex]9x^4 -6x^2[/tex]
Express 9 as 3 * 3 and 6 as 3 * 2
[tex]3 * 3x^4 -3 * 2x^2[/tex]
Factorize 3 from both terms
[tex]3(3x^4 -2x^2)[/tex]
Express x^4 as x^2 * x^2
[tex]3(3x^2 * x^2 -2x^2)[/tex]
Factorize x^2 from both terms
[tex]3x^2(3x^2 -2)[/tex]
Hence, the factors of [tex]9x^4 -6x^2[/tex] are
[tex]3x^2[/tex] and [tex]3x^2 - 2[/tex]
solve for c: b/c =a
Answer:
c = b/a
Step-by-step explanation:
b/c = a
b = ac
b/a = c
How can you use the properties of operations to evaluate this expression? 18+4(28)
Step-by-step explanation:
open the brackets by multiplying 4 and 28 =112
18+112= 130
Answer:
Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.
Determine whether the variable is qualitative or quantitative. Is the variable qualitative or quantitative? favorite rock group
Answer:
qualitative
Step-by-step explanation:
Favorite rock group is the qualitative variable because it shows an attribute. It does not depict a quantity or numbers. The favorite rock group will perform and show their ability to deliver music articles so it is showing quality not quantity. It is an attribute.
Variable is defined as the characteristic being studied so it is a qualitative variable meaning it is showing quality of the characteristic.
the product of a number and 5”. 4 the difference of a number and 7
Step-by-step explanation:
the product of a number and 5
n - number
the product - it's multiplication
n · 5 = 5 · n = 5nthe difference of a number and 7
n - number
the difference - it's subtraction
n - 7What is the zero of f(x)=-1.5x+60?
Suppose a company has a design maximum output of 280. Its actual output is 195 and its efficiency is 80%. Calculate its efficient output and its capacity utilization.
Answer:
Effective output = 224
Capacity Utilization = 80%
Step-by-step explanation:
Given the maximum output = 280
The actual output = 195
The efficiency = 80%
Below is the formula to calculate the efficiency.
Efficiency in percentage = (Effective output / Maximum output) x 100
Insert the given values in the formula.
80 =( Effective output / 280 ) x 100
Effective output = 280 x 0.8
Effective output = 224
Now the Capacity utilization ( %) = Actual output / Maximum output x 100
Capacity utilization in percentage = 224 / 280 x 100
Capacity Utilization = 80%
distance between these points.
R(-1,0), 5(8,6)
Answer:
Distance = 3√13
Step-by-step explanation:
[tex](-1 ,0)=(x_1 ,y_1)\\(8,6)=(x_2 , y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(8-(-1))^2+(6-0)^2}\\ \\d = \sqrt{(8+1)^2 +(6-0)^2}\\ \\d = \sqrt{(9)^2 +(6)^2}\\ \\d = \sqrt{81+36}\\ \\d = \sqrt{117} \\\\d= 3\sqrt{13}[/tex]
I will Mark you brainliest if you explain your work
Answer:
(-1/2, 1)
Step-by-step explanation:
I just used the midpoint formula, and plugged in the points. I hope this helps!
=(x^2+x^1 /2 , y^2+y^1 /2)
=(-2+1 /2 , -5+3 /2)
=(-1/2, 1)
Answer: (-0.5, -1 ) or (-1/2,-1)
Step-by-step explanation:
(-2,-5) (1,3)
To find the midpoint between these two numbers find the average of the x and y coordinates.
-2 + 1 = -1 /2 = -0.5
-5 + 3 = -2/2 = -1
Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals 550 comma x equals 440 comma 95 % confidence nothingless thanpless than nothing (Round to three decimal places asneeded.)
Answer:
(0.767,0.833)
Step-by-step explanation:
The 95% confidence interval for population proportion p can be computed as
[tex]p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} } <P<p+z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }[/tex]
The z-value associated with 95% confidence level is 1.96.
whereas p=x/n
We are given that x=440 and n=550.
p=440/550=0.8
[tex]0.8-1.96\sqrt{\frac{0.8(0.2)}{550} } <P<0.8+1.96\sqrt{\frac{0.8(0.2)}{550} }[/tex]
[tex]0.8-1.96\sqrt{\frac{0.16}{550} } <P<0.8+1.96\sqrt{\frac{0.16}{550} }[/tex]
[tex]0.8-1.96\sqrt{0.00029 } <P<0.8+1.96\sqrt{0.00029 }[/tex]
[tex]0.8-1.96(0.01706) <P<0.8+1.96(0.01706)[/tex]
[tex]0.8-0.03343 <P<0.8+0.03343[/tex]
[tex]0.76657 <P<0.83343[/tex]
Thus, the required confidence interval is
0.767<P<0.833 (rounded to 3 decimal places)
Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)