The two levels of correlation coefficients are as follows:
A correlation coefficient less than -0.7.
A correlation coefficient greater than +0.7.
A correlation coefficient is a statistical degree of the diploma to which modifications to the fee of 1 variable expect alternate to the fee of another. In definitely correlated variables, the fee will increase or decreases in tandem.
The two levels of correlation coefficients are as follows:
A correlation coefficient less than -0.7.
A correlation coefficient greater than +0.7.
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in triangle ABC, AB = 5, BC = 6, and AC= 7 , the the nearest degree, what is the measurment of angle ABC
how can i find it
Answer:
∠ ABC ≈ 78°
Step-by-step explanation:
using the Cosine rule in Δ ABC
cos ABC = [tex]\frac{a^2+c^2-b^2}{2ac}[/tex]
where a is the side opposite ∠ A , b is the side opposite ∠ B and c the side opposite ∠ C
here a = BC = 6 , b = AC = 7 and c = AB = 5 , then
cos ABC = [tex]\frac{6^2+5^2-7^2}{2(6)(5)}[/tex] = [tex]\frac{36+25-49}{60}[/tex] = [tex]\frac{12}{60}[/tex] , then
∠ ABC = [tex]cos^{-1}[/tex] ( [tex]\frac{12}{60}[/tex] ) ≈ 78° ( to the nearest degree )
If d , e, and f are midpoints of the sides of ABC, find the perimeter of ABC. A=7 C=8 B=6
please help asap
The perimeter of the triangle ΔABC will be 21 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The perimeter of the triangle is determined by adding together all of its sides.
If d, e, and f are midpoints of the sides of ABC. A = 7, C = 8, and B = 6. Then the perimeter of the triangle is given as,
Perimeter = A + B + C
Perimeter = 7 + 6 + 8
Perimeter = 21
The perimeter of the triangle ΔABC will be 21 units.
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Someone help please thank you show your work 100 points!!
Answer:
A
Step-by-step explanation:
y=-2 when x=-4 y=-4 when x=-8
what's given: 4. what's given:2
-4k=-2. -8k=-4
-4/4. -2/4. -8/8. -4/8
k=0.5. k =0.5
0.5(2) =1. 0.5(2)=1
Answer:
(a) no; (b) no; (c) yesy=5x; b=1/2a; m = 5nk = 5; x = 9.8Step-by-step explanation:
You want to identify the proportional relations in the given tables and equations, and you want to find and use the constant of variation given that y=35 when x=7.
Proportional relationA proportional relation is one that has an equation of the form ...
y = kx
One variable is a constant multiple of the other. If the relation cannot be put in this form, it is not a proportional relation.
ApplicationThe value of k in the above equation can be found as ...
k = y/x . . . . . . . divide both sides by x
This is a constant if the relation is proportional.
1a.y/x = -8/-4 = -4/-2 ≠ 18/6 . . . . . not a proportional relation
1b.y/x = -4/-5 ≠ 10/2 . . . . . not a proportional relation
1c.y/x = -12/-3 = 24/6 = 32/8 = 4 . . . . . a proportional relation
2.
You are looking for equations of the form y = kx. The only ones having that form are ...
y = 5xb = 1/2am = 5nThe others represent inverse proportions and a linear (not proportional) relation.
3.As we saw above, the constant of variation is ...
k = y/x = 35/7
k = 5
Then the value of x can be found from ...
49 = 5x
49/5 = x = 9.8
Find two different sets of parametric equations for the rectangular equation. (Enter your answer in a list as [x = f(t), y = f(t)], [x = f(t), y = f(t)].) y = 6x - 1
The parametric equations of y = 6x -1 are [x = t, y = 6t - 1].
What are parametric equations?Parametric equations divide an equation into two or more equations, depending upon the variables in the original equation, both dependent and independent.
What does the variable t mean?In parametric equations we mostly use t as an independent variable and write all equations in terms of t.
To convert a rectangular equation in its parametric representation, the easiest way to do is to equate x with the variable t in the original equation. Now, our x is equal to t. Hence, the final answer is [x = t, y = 6t - 1].
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if x=3 and y=-5 find the value of x-y^2
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{x - y^2}\\\mathsf{= 3 - (-5)^2}\\\mathsf{= 3 + \bf 5^2}\\\mathsf{= 3 + \bf 5\times5}\\\mathsf{= 3 + \bf 25}\\\mathsf{= 28}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{28}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Make X the
subject of m=n+x/p
Answer:
x = pm - pn
Step-by-step explanation:
m = n + [tex]\frac{x}{p}[/tex] Subtract n from both sides
m - n = n - n + [tex]\frac{x}{p}[/tex]
m-n = [tex]\frac{x}{p}[/tex] Multiply both sides by p
p(m - n) = ([tex]\frac{p}{1}[/tex]) [tex]\frac{x}{p}[/tex] [tex]\frac{p}{1}[/tex] means the same as p
pm - pn = x Distribute the p
x = pm - pn
Determine whether each statement is true or false. 7<5 or 3>1.
the first statement is false, and the 2nd statement is true.
what refers to < and > sign?the sign > indicates it is greater than the next value and the sign < indicates it is less than the next value.
why < and > are used in mathematics?In mathematics the above signs are used to compare two mathematical expressions.
7<5 cannot be possible as positive 7 is always greater than positive 5
in the next positive 3 is greater than positive 1 so it is true.
hence, 7<5 is false and 3>1 is true.
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the quotient of two polynomial expressions is a rational expression.
Yes, The quotient of two polynomial expressions is a rational expression. so the statement is true
Polynomial Expression
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division (No division operation by a variable).
Rational expression
A rational expression is the quotient of two polynomial expressions where the denominator is not equal to zero.
Consider two polynomial p(x) & q(x)
and q(x) [tex]\neq[/tex] 0
then the quotient is a rational expression
so the statement is true.
Yes, The quotient of two polynomial expressions is a rational expression. so the statement is true
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Four less than 5 times a number is the same as 26 more than twice the number
The answer is 106 since it is 26 more than twice the number and 4 less than 5 times a number.
Please respond quick!!!
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
write the coordinate of the x-intercept and y-intercept for each linear relationship
To find y-intercept: set x = 0 and solve for y. The point will be (0, y).
To find x-intercept: set y = 0 and solve for x. The point will be (x, 0)
What is slope of a line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
Consequently, the formula for the change in y-coordinate with respect to the change in x-coordinate is
m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line can be shown as
tan θ = Δy/Δx
So, the slope of a line is tan.
When the equation is written in the slope-intercept form (y=mx+b) we can find the y-intercept by looking at the equation. The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b.
To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis.
When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable.
To find y-intercept: set x = 0 and solve for y. The point will be (0, y).
To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).
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Which of the following is the value of discriminant for √ 2x² − 5x+ √ 2 = 0?
17 is the value of discriminant for quadratic equation.
What in mathematics is a quadratic equation?
A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.
The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.
General form of a quadratic equation is
ax² + bx + c = 0
The Discriminant of the quadratic equation is denoted by D and defined as
D = b² - 4ac
The given Quadratic equation is
√2x² - 5x + √2 = 0
Comparing with the general equation of quadratic equation ax² + bx + c = 0 we get
a = √2 , b = - 5 , c = √2
Value of Discriminant
= b² - 4ac
= (-5)² - 4 * √2 * √2
= 25 - 8
= 17
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The number of weaving errors in a twenty foot by ten foot roll of carpet has a mean of 0.8. What is the probability of observing more than 2 errors in the carpet
Answer:
0.0474
Step-by-step explanation:
mean = \mu = 0.8
Using the Poisson probability formula,
P(X = x) = (e-\mu * \mux ) / x!
P(X > 2) = 1 - P(x \le 2)
= 1 - P(x = 0) - P(x = 1) - P(x = 2)
= 1 - (e^-0.8 * 0.80 ) / 0! - (e^-0.8 * 0.8^1 ) / 1! - (e^-0.8 * 0.8^2 ) / 2!
= 0.0474
So, the answer is 0.0474
What if the elimination method results in 0=0?
Answer:
If the elimination produces the equation 0=0, then the two equations are for the same line.
Step-by-step explanation:
This means that there are an infinite number of solutions.
Which inequality represents all the values of x for y<(or equal to)-6(x-18)-2 when y=46
The value of x is x ≤ 9 for which y ≤ -5(x - 18) - 2 when y = 43.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The given inequality is y ≤ -5(x - 18) - 2.
Now the values of x when y = 43 is,
43 ≤ - 5(x - 18) - 2.
43 ≤ - 5x + 90 - 2.
43 - 88 ≤ - 5x.
- 45 ≤ - 5x.
5x ≤ 45.
x ≤ 9.
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a biologist wants to calculate the number of fish in a lake. on may 1 she catches a random sample of 60 fish, tags them, and releases them. on september 1 she catches a random sample of 70 fish and finds that 3 of them are tagged. to calculate the number of fish in the lake on may 1, she assumes that 25% of these fish are no longer in the lake on september 1 (because of death and emigrations), that 40% of the fish were not in the lake may 1 (because of births and immigrations), and that the number of untagged fish and tagged fish in the september 1 sample are representative of the total population. what does the biologist calculate for the number of fish in the lake on may 1?
The total number of fishes present in the lake on my 1 is 840.
Explain the term percentage of the number?A figure or ratio that may be stated as a percentage of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.The given data for the question-
42 fish were present in May out of the 70 fish that were caught in September, 40% of which were absent in May. Noting that the 25% death rate has no impact on the answer since both tagged and untagged fish die, the percentage the tagged fish inSeptember is equivalent to a percentage of tagged fish in May.
3/42 = 60/x
x = 60 *42 / 3
x = 840
Thus, the total number of fishes present in the lake on my 1 is 840.
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In 200920092009, Usain Bolt set the world record for sprinting 100 \text{ m}100 m100, start text, space, m, end text in approximately 9\dfrac359
5
3
9, start fraction, 3, divided by, 5, end fraction seconds.
Find his average speed in meters per second.
Average speed of Usain Bolt is 10.41 m/s.
What is Speed?The distance travelled by an object in relation to the amount of time it takes to travel that distance can be used to define speed. In plainer terms, it is a gauge of how quickly an object moves.
Average speed = (Total distance travelled)/(Total time required)
SI unit of speed is m/s.
Distance Travelled by Usain Bolt = 100m
Time required to travel this distance = [tex]9\frac{3}{5}[/tex] = 48 ⁄ (5 sec)
Average speed = (Total distance travelled)/ (Total time required)
Average speed = 100/ (48/5)
= 500/48
= 10.41 m/s
Therefore, average speed of Usain Bolt is 10.41 m/s.
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the number of trees in a forest is decaying by 1% every year if in one year it has 10 million trees how many million trees win be there in 8 years round to the nearest hundredths
As it is given, 1% of left tree is decaying every year.
Number of tree left after 8 years.
A = P{1-R/100}^[tex]^{T}[/tex] = 10M{1-1%/100}^ [tex]^{8}[/tex]
= 10M *(0.99)[tex]^[/tex]^[tex]^{8}[/tex]
= 9227446
If round at hundredth, then,
Number of tree = 9227400.
How can you compute depreciation mathematically?Identify the asset's cost. Get the asset's total depreciable value by deducting the projected salvage value from the asset's purchase price. Determine the asset's useful life. The annual depreciation amount is obtained by dividing the sum of steps (2) and (3) by the figure determined in steps (3).
How does depreciation work?Depreciation is the practice of deducting the cost of a company asset over a number of years as opposed to just one. There are four primary ways to depreciate assets: linear, twofold declining, sum of the years' digits, and manufacturing units.
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Please help out will you :,)
For the given function the zeroes will be 0,-11/2, and 11 while the degree of the function is 5.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
T(h)=h(2h+1)²(h-11)²
The function is simplified as,
T(h)=h((2h)²+1²+2(2h)(1))(h²+121-22h)
T(h)=h[4h²+1+4h](h²+121-22h)
T(h)=(h³+121h-22h²)(h²+121-22h)
From the above function, it is observed that the degree of the given function is 5.
The zeroes of the given function are obtained as,
T(h)=h(2h+1)²(h-11)²
T(h)=0
h = 0
(2h+1)²=0
2h+1=0
h= -1/2
(h-11)²=0
h=11
Thus, for the given function the zeroes will be 0,-11/2, and 11 while the degree of the function is 5.
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Please hurry!!!! I need it done asap!
Answer:
7x
Step-by-step explanation:
In a hypothesis test for population proportion, you calculated the p-value is 0.01 for the test statistic, which is a correct statement of the p-value?
Group of answer choices
a)The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.
b)The p-value indicates that it is very likely to observe a test statistics equally or more extreme when the null hypothesis is true.
c)The p-value is calculated assuming the alternative is true.
The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.
In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.
The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.
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(16-24)-(57-77) divided by (-2)
The answer will be -6 when (16-24)-(57-77) divided by (-2).
What is division?
One of the basic mathematical operations is division, which splits a bigger number into smaller groups with the same number of components. For example, if 20 students need to be divided into groups of five for a sporting event, how many total groups will be created? Dealing with such challenges is made easier by the division operation. In this instance, divide 20 by 5. The result will be 20 x 5 = 4. There will be 4 groups total, each with 5 students. You can verify this number by multiplying 4 by 5 and getting the answer 20, which equals 20.
Here (16-24)-(57-77)/-2
= (-8)-(20)/-2
=12/-2
=-6
Hence the answer will be -6.
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What i the lope of a line perpendicular to the line whoe equation i 3x-6y=90. Fully implify your anwer
The slope of line perpendicular to line 3x - 6y = 90 is -2.
Slope-Intercept form of equation => y = mx + c
Slope = m
Given equation,
3x - 6y = 90
x - 2y = 30
2y = x - 30
y = x/2 - 15
y = (1/2)x + (-15)
Here, slope = m1
= 1/2
For line perpendicular slope will be negative reciprocal of the slope of given line.
Therefore, slope of other line = m2
= -1/m1
= -2
Hence, slope of line perpendicular to line 3x - 6y = 90 is -2.
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a large stake was stocked with trout ten years ago. the change in the trout population each year is modeled by the function P(x)=8,500(0.88)x which statement describes 0.88 in the function
The value of 0.88 in the exponential function p(x) = 8500(0.88)ˣ is the rate of growth
Exponential FunctionAn exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The exponential function is an important mathematical function which is of the form
f(x) = aˣ
In the exponential function given;
p(x) = 8500(0.88)ˣ
Where;
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What is the answer to the equation -1/3 + 1/5
Answer:
-2/15 or -0.13
Step-by-step explanation:
-5+3 /15
-2/15
Jack sketches ΔABC. The measure of angle B is 6 degrees less than twice the measure of angle A. The measure of angle C is 111°.
Which equation can be used to find the measure of Angle A? What is the measure of Angle A?
The equation that can be used to find the measure of Angle A is (b) a + 2a - 6 + 111 = 180, a = 25
Which equation can be used to find the measure of Angle A?From the question, we have the following parameters that can be used in our computation:
Angle B = 6 degrees less than twice the measure of angle A
Angle C = 111 degrees
These mean that
b = 2a - 6
c = 111
The sum of angles in a triangle is 180
So, we have
a + 2a - 6 + 111 = 180
What is the measure of Angle A?In (a), we have
a + 2a - 6 + 111 = 180
Evalate the like terms
3a = 75
So, we have
a = 25
Hence, the equation is a + 2a - 6 + 111 = 180
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Please help!!!!!! Quick
Answer:
$361,660
Step-by-step explanation:
(a)
the original value represents 100%
an increase of 7% is then 100% + 7% = 107% = [tex]\frac{107}{100}[/tex] = 1.07 then
new value = 1.07 × old value
(b)
new value = 1.07 × $338,000 = $361,660
Compute 5/6(43)+1/2(43)+2/4(43)
The value of the equation A = 5/6(43) + 1/2(43) + 2/4(43) is A = 78.83 and the improper fraction of the number A = 473/6
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the value of the equation be A
Now , the equation A is given as
A = 5/6(43) + 1/2(43) + 2/4(43)
So , on simplifying the equation , we get
Taking 43 as the common term of the expression , we get
The value of A = 43 [ 5/6 + 1/2 + 2/4 ]
The value of A = 43 [ 5/6 + 1/2 + 1/2 ]
The value of A = 43 [ 5/6 + 1 ]
So , on further simplification , we get
The value of A = 43 [ 11/6 ]
So , the value of A is A = ( 43 x 11 ) / 6
The value of A = 473/6
The value of A in decimal form is A = 78.83
Therefore , the value of A is 78.83
Hence ,
The value of the equation A = 5/6(43) + 1/2(43) + 2/4(43) is A = 78.83
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Answer:70.83 I think..
Step-by-step explanation:
Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats.
Write an inequality to describe the number of subscriptions Andre must sell to reach his goal.
The inequality to describe the number of subscriptions is 25 + 3x ≥ A
How to determine the inequality to describe the number of subscriptionsFrom the question, we have the following parameters that can be used in our computation:
Earnings per week = $25
Commission = $3 on every subscription
This means that the total earning can be calculated using
Total earnings = Earnings per week + Commission x Number of subscriptions
Substitute the known values in the above equation, so, we have the following representation
y = 25 + 3x
He hopes to make at least enough money this week to buy a new pair of soccer cleats
This means that
y ≥ Amount
So, we have
25 + 3x ≥ A
Hence, the inequality is 25 + 3x ≥ A
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Verify that if Y has a beta distribution withα=β=1then Y has a uniform distribution over (0, 1). That is, the uniform distribution over the interval (0, 1) is a special case of a beta distribution.
The standard uniform distribution is a special case of the beta distribution when β = γ = 1.
A sort of probability distribution called the beta distribution encompasses all potential probabilities. With examples, let's go over its definition and formula. The Beta distribution is a continuous probability distribution that is defined by two positive parameters in probability and statistics. It is a kind of probability distribution that is used to depict the results or irrational behavior of percentages or proportions.
Let the random variable X ∼ beta(β, γ). The probability density function of X is mentioned in the picture given below which is the probability density function of a standard uniform random variable.
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