Identify the true statement about a curvilinear relationship. Multiple Choice The variables vary independently of one another. The relationship results in a flat line when graphed. The relationship is sometimes referred to as a monotonic function. The direction of the relationship changes at least once.

Answer:

r = -0.83

strong negative correlation

r = -0.08

weak negative correlation

r = 0.96

strong positive correlation

r = 0.06

weak positive correlation

Step-by-step explanation:

In this question, what we are expected to do is to match the values of the correlation given with the type of correlation in which the values are.

When we talk of correlation, we are simply referring to the extent of agreement between the values in the data field.

Correlation has a value between -1 and +1, meaning it could be negative or positive.

Values closer to the extremes i.e (-1 or +1) indicates strong correlation while values farther away, i.e closer to zero indicates a weak relationship.

Let’s answer the questions specifically now:

r = -0.83

This is closer to -1 and it indicates a strong negative correlation

r = -0.08

This indicates a weak negative correlation as it is closer to zero and farther away form -1

r = 0.96

This indicates a strong positive correlation

r = 0.06

This indicates a weak positive correlation

TV = VX.

3x-24 = 2x + 1

Add 24 to both sides:

3x = 2x + 25

Subtract 2x from both sides:

X = 24

VX = 2(25) + 1 = 50 + 1 = 51

The answer is 51

Answer:

51

Step-by-step explanation:

Since it is an isosceles triangle the two sides are equal  

3x - 24 = 2x + 1

x = 25

2(25) + 1 = 51

Answer:

Step-by-step explanation:

Hello,

First of all, we know that the solution of the following equation

   [tex]ax^2+bx+c=0[/tex]

are

   [tex]\dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \ \text{ when } \Delta=b^2-4ac \geq 0[/tex]

I would suggest that you try to apply this formula first and check the solution only after you try.

Let's apply it in this case, we have:

[tex]a=4\sqrt{5} \\ \\ b=-24 \\ \\ c= -9\sqrt{5}[/tex]

[tex]\Delta=b^2-4ac=24^2+4*9*5=1296 \\ \\ \sqrt{\Delta}=36 \ \text{ and the solutions are } \\ \\ \\ x_1=\dfrac{24-36}{8\sqrt{5}}=\dfrac{-12}{8\sqrt{5}}=\boxed{\dfrac{-3}{2\sqrt{5}}} \\ \\x_2=\dfrac{24+36}{8\sqrt{5}}=\dfrac{60}{8\sqrt{5}}=\boxed{\dfrac{15}{2\sqrt{5}}}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

the range is 10

Step-by-step explanation:

70 is the highest and 60 is the lowest

70-60=10

Answer: 16 units

Step-by-step explanation:

Given that in triangle ABC, m∠C=90,

it means m∠A +∠B= m∠BAC + m∠ABC = 90

m∠ABC = 90 - m∠BAC

Also given that;m∠BAC = 2m∠ABC

So,

m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC

m∠BAC +2m∠BAC = 180

3m∠BAC = 180

m∠BAC=180/3 = 60

m∠ABC = 60/3 = 30

thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,

AC=24/√3=8√3AL bisects angle A =>m∠LAC=30

ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16

Answer:

17,725/14.

Step-by-step explanation:

Let's say that the blank is represented by x.

Since the question asks what is 16.8% of x, we can set up a proportion where 16.8 out of 100 is equivalent to 212.7 out of x. The 100 represents the "whole" number, which corresponds to x. The 212.7 IS the 16.8 of x.

[tex]\frac{16.8}{100} =\frac{212.7}{x}[/tex]

16.8 * x = 212.7 * 100

16.8x = 21,270

x = 21,270 / 16.8

x = 212,700 / 168

x = 17,725 / 14 = 1,266.071429

To check our work, 1,266.071429 * 0.168 = 212.7.

Hope this helps!

Complete question is;

A car is new at the beginning of a calendar year. The time, in years, before the car experiences its first failure is exponentially distributed with mean 2. Calculate the probability that the car experiences its first failure in the last quarter of some calendar year.

Answer:

Probability = 0.2052

Step-by-step explanation:

I've attached the explanation to this answer.

Answer:

mRT = 4√13 ≈ 14.42

mST = 10√2 ≈ 14.14

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:

mTR:

12² + 8² = c²

144 + 64 = c²

c² = 208

c = √208 = 4√13

mST:

15² = 5² + b²

225 - 25 = b²

b² = 200

b = √200 = 10√2

To get your decimals, simply evaluate the square roots:

4√13 = 14.4222

10√2 = 14.1421

Answer:

6. 56.3 degrees.

7. 70.5 degrees.

Step-by-step explanation:

6. We are given the opposite and adjacent side lengths, so we can use tangent to solve this (TOA = Tangent; Opposite over Adjacent).

tan(R) = 12 / 8

tan(R) = 3 / 2

R = cotan(3/2)

R = 56.309932474020213

So, the measure of angle R is about 56.3 degrees.

7. We are given the adjacent and the hypotenuse, so we can use cosine to solve this (CAH = Cosine; Adjacent over Hypotenuse).

cos(R) = 5 / 15

cos(R) = 1/3

R = sec(1/3)

R = 70.528779365509

So, the measure of angle R is about 70.5 degrees.

Hope this helps!

Answer:

3[tex]a^{4}[/tex] - 48

Step-by-step explanation:

Given

(a + 2)(3a² + 12)(a - 2)

= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL

=(a² - 4)(3a² + 12) ← expand using FOIL

= 3[tex]a^{4}[/tex] + 12a² - 12a² - 48 ← collect like terms

= 3[tex]a^{4}[/tex] - 48

Answer:

B

Step-by-step explanation:

You can not take a square root of a negative number, because than it will become imaginary. So X has to be equal to or greater than 10.

Answer:

Step-by-step explanation:

First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)

To find the zeros, you set the equation equal to 0 and solve for x

x^3+2x^2-8x=0

x(x^2+2x-8)=0

x(x+4)(x-2)=0

x=0   x=-4   x=2

So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)

And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.

Plugging in a -5 gets us -35

-1 gets us 9

1 gets us -5

3 gets us 21

So now you know end behavior, zeroes, and signs of intervals

Hope this helps

The zeroes of the function are -4, 0 and 2.

The intervals where the function is positive is [tex]-4 < x < 2, \ \ x >2[/tex].

The intervals where the function is negative is [tex]x < -4[/tex].

The given parameters:

The zeroes of a function is the possible values of the unknown that makes the entire function to be zero.

The zeroes of the cubic equation is calculated as follows;

f(x) = 0

x³ + 2x² - 8x

factorize as follows;

[tex]x(x^2 + 2x -8) = 0\\\\x(x^2 + 4x - 2x -8) = 0\\\\x[x (x + 4 )-2(x + 4)]= 0\\\\x(x + 4)(x -2)=0\\\\x = 0, \ \ x = -4 \ \ x = 2[/tex]

The intervals where the function is positive and negative is determined as follows;

[tex]x(x + 4) (x - 2)\\\\[/tex]

[tex]when, \ x = -5, \ f(x) = -ve\\\\when, \ x = -4, \ f(x) =0\\\\when , \ x = -3, \ f(x) = +ve[/tex]

The intervals where the function is positive is determined as;

[tex]-4 < x < 2, \ \ x >2[/tex]

The intervals where the function is negative is determined as;

[tex]x < -4[/tex]

Learn more about graph of cubic equation here: https://brainly.com/question/8878887

Answer:

3 people get 10 crackers each 2 people get 9 crackers each

Step-by-step explanation:

SO WE CHECK THE OTHER ANSWERS

1. 2 people get 10 crackers each 3 people get 9 crackers each

(2*10)+(3*9)=?

20+27=47

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

2. 2 people get 13 crackers each 3 people get 12 crackers each

(2*13)+(3*12)=?

26+36=62

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

3. 3 people get 10 crackers each 2 people get 9 crackers each

(3*10)+(2*9)=?

30+18=48

WHICH IS CORRECT CAUSE THE SUM SHOULD BE 48

4. 4 people get 8 crackers each 1 person gets 15 crackers each

(4*8)+(1*15)=?

32+15=47

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

SO THE ANSWER IS  3 people get 10 crackers each 2 people get 9 crackers each

I HOPE I HELPED

PLS MARK BRAINLIEST!!!!!! (DESPERATELY TRYING TO LEVEL UP)

IT TOOK ME 10 MINS TO TYPE THIS

                     -ZYLYNN JADE

Answer:

1) by using a protractor

2) by finding a point

3) by extending the line of the angle until it reaches the other side of the field.

Step-by-step explanation:

There are different methods he can use to draw the angle on the other side of the yard, three of which are the following:

1) he can use a protractor to measure the angle he drew. That way he can go to the other side of the field and measure the same angle there. So then he can draw the angle in the new location.

2) He can draw a line on the given angle and find a point that passes through that line. Then he can draw a perpendicular line to the origin of the angle until it reaches the other side of the yard. This perpendicular line will cross the other side of the yard. This point where the line crosses the other side of the yard will be the new origin. With this new origin find the point again and draw a line that goes through the new origin and the new point he found.

3) Depending on the dimensions of the field, he can draw extend the line of the angle in such a way that it reaches the other side of the field. Then the angle will be on the other side. He can then use a square to move it around to where he wants it to be.

Answer:

157.5.

Step-by-step explanation:

(155 + 160) / 2

=  315/2

= 157.5.

Hey there! I'm happy to help!

We want to find whatever is in between J and K. To find the halfway point between any two numbers, you add them and then divide that result by two!

What's between 1 and 3?

1+3=4

4/2=2

So, we'll do the same here!

155+160=315

315/2=157.5

So, the midpoint is 157.5 or 157 1/2.

Have a wonderful day!

Answer:

106

Step-by-step explanation:

Sum of angles around a point = 360 degrees

Sum of given angles = 164+90 = 254

Thus, the value of x is the angles remaining from 254 to make 360

360-254 = 106

Hope this helps

Good luck

Answer:

106

Step-by-step explanation:

164+90=254

360-254=106

Answer: Eli’s age is 24 years and Cora’s age is 74 years

Step-by-step explanation:

To find Eli’s age and Cora’s age, use the following condition.

Eli’s age is represented by term ‘x’

Cora’s age is represented by term ‘3x + 2’

x + 3x + 2 = 98

Add x and 3x

4x + 2 = 98

Subtract 2 from both sides

4x = 96

Divide by 4 on both sides

x = 24

Therefore Eli’s age is 24 years

To find Cora’s age, plug in 24 for x

3(24) + 2 = 72 + 2 = 74

Answer:

Cora is 74 years old

Eli is 24 years old

Step-by-step explanation:

Cora’s age = x

Eli’s age = y

x = 3y + 2

x + y = 98

x = 98 - y

98 - y = 3y + 2

98 - 2 = 3y + y

96 = 4y

24 = y

x + 24 = 98

x = 98 - 24

x = 74

Answer:

0.578

Step-by-step explanation:

If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)

Given that there are 14 orders at the ratio by of:

6 with hot peppers

8 without hot peppers

At most two have hot peppers.

Binomial Problem with n = 3 ; p(hot) = 6/8

P(0<= x <=2) = 1 - P(x = 3)

= 1 - (6/8)^3

= 1 - ( 3/4 )^3

= 1 - ( 27/64 )^3

= 1- (37/64)

= 1 - 0.421875

= 0.578125

= 0.578

Complete question:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

Which characteristic is correct for the function

a) odd

b) neither even nor odd

c) both even and odd

d) even

Answer:

a) odd

Step-by-step explanation:

Given the equation:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

To test for even or odd let's perform the following:

F

Replace "x" with "-x"

Thus,

[tex] F(x) = -6x^5 + 4x^3 [/tex]

[tex] = -6(-x)^5 + 4(-x)^3 [/tex]

[tex] = 6x^5 + -4x^3 [/tex]

Since [tex] -6x^5 + 4x^3 [/tex] ≠ [tex]-6(-x)^5 + 4(-x)^3[/tex] the equation is not even.

Also,  the signs changed, the equation is considered to be odd.

I.e f(x) = -f(x)

Correct answer is option (a) odd

Answer:

odd

explanation:

Answer:

iii) 5.7

iv) 27.85

vii) 0.609

viii) 40.0709

Step-by-step explanation:

hope this helps

Answer:

<S = 62 degrees

Step-by-step explanation:

For this problem, you need to understand two things.  A line tangent to a circle's radius creates a 90-degree angle, and the sum of the interior angles of a triangle is 180 degrees.  With that said, let's continue.

<S + <P + <Q = 180

<S + 90 + 28 = 180

<S + 118 = 180

<S = 62

Hence, <S = 62 degrees.

Cheers.

Answer

(a - y) (b - y)

Step-by-step explanation:

(ab - ay) (-by + y^2)

a (b - y)  -y ( b - y)

(a-y) (b - y)

.. ..

Answer:

[tex]\boxed{(a-y) (b - y)}[/tex]

Step-by-step explanation:

Rearrange the terms.

[tex](ab - ay) (-by + y^2)[/tex]

Factor out common term.

[tex]a (b - y) -y ( b - y)[/tex]

Apply rule : [tex]a(b+c)+d(b + c) = (a+d)(b+c)[/tex]

[tex]a (b +- y) +-y ( b +- y)[/tex]

[tex](a+-y) (b +- y)[/tex]

Respuesta:

Los 3 triángulos son semejantes.

Explicación paso a paso:

En estos casos nos dan a conocer los ángulos de los triángulos, por lo tanto el criterios de semejanza se reduce si más de dos de sus ángulos internos son iguales.  

Por lo tanto, sabemos que en los triángulos ABE y BCD presentan los mismos ángulos, 80°, 40° y 60° por lo que podemos afirmar que ambos triángulos son semejantes.

Ahora bien, para el triangulo BDE, podemos conocer solo un angulo del que es de 80°, pero el resto sería desconocido, lo que quiere decir que no podríamos determinar si es semejante con los otros, pero por medio de los ángulos externos determinamos que si corresponde también a 60° y 40°, por lo tanto, los 3 triángulos son semejantes.

Answer:

384

Step-by-step explanation:

the cost of the shirt is 13, pants is 11, and 8 for socks

13+11+8=32

the cost of 12 uniforms:12(13+11+8)=384

Answer:

Alternate interior angles theorem

Step-by-step explanation:

DG // EF   and GE is the transversal. So, alternate interior angles are congruent

Therefore, ∠HGD ≅ ∠HEF

DG // EF   and DF is the transversal. So, alternate interior angles are congruent

Therefore, ∠HDG ≅ ∠HFE

Answer:

Step-by-step explanation:

Given the surdic expression [tex]\frac{2}{3\sqrt{5} + 2\sqrt{11}}\\[/tex], to rationalize the expression, we will have to multiply the numerator and denominator of the expression by the conjugate of the denominator as shown;

[tex]= \frac{2}{3\sqrt{5} + 2\sqrt{11}} * \frac{3\sqrt{5} - 2\sqrt{11}}{3\sqrt{5} - 2\sqrt{11}}\\\\= \frac{2(3\sqrt{5} - 2\sqrt{11})}{(3\sqrt{5} + 2\sqrt{11})(3\sqrt{5} - 2\sqrt{11})}\\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{9\sqrt{25}+6\sqrt{55}- 6\sqrt{55}-4\sqrt{121} } \\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{9(5)-4(11) }\\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{45-44 }\\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{1}[/tex]

Comparing the result [tex]\frac{6\sqrt{5} - 4\sqrt{11} }{1}[/tex] with the expression [tex]\frac{A\sqrt{B} + C\sqrt{D}}{E}[/tex], it can be seen that A = 6, B = 5, C = -4, D = 11 and E = 1

A+B+C+D+E = 6+5+(-4)+11+1

A+B+C+D+E = 11-4+12

A+B+C+D+E = 19

Hence the value of A+B+C+D+E is 19

Answer:

Janine=12.6(repeating) Samantha=15.6(repeating) Lucy=19.6(repeating)

Step-by-step explanation:

Lets concentrate on one person, Janine.

Janine = Lucy - 7

Janine = Samantha - 3

If the averae of the 3 people's ages is 16, then we should multiple that by three to get 48, the number of their ages combined.

Janine + Lucy + Samantha = 48

The differences between Janine to Lucy and Janine to Samantha combined is 10, so we can subtract that from 48 to get 38, which is 3 times Janines age.

38/3=12.6(repeating)

That is Janine's age. We can use that to find both Lucy's and Samantha's ages respectively by using their equations. Lucy's is 19.6(repeating) and Samantha's is 15.6(repeating). I hope you can give me brainliest, and that this helped!

[tex]-4(8+y)=90\implies8+y=-22.5\implies y=-30.5[/tex].

Hope this helps.

Answer:

-30.5.

Step-by-step explanation:

-4(8 + Y) = 90

-32 - 4Y = 90

-4Y = 122

Y = -30.5.

Hope this helps!

Answer:

radius ≈ 10.77 cm

Step-by-step explanation:

The segment from the centre O to the chord is a perpendicular bisector.

Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )

The radius r is the hypotenuse.

Using Pythagoras' identity, then

r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

r = [tex]\sqrt{116}[/tex] ≈ 10.77 cm ( to 2 dec. places )

Answer:

Step-by-step explanation:

perpendicular from center always bisects the chord of circle.

1/2 of chord=1/2×8=4 cm

[tex]r=\sqrt{4^2+10^2} =\sqrt{16+100} =\sqrt{116} \approx 10.77 ~cm[/tex]

Answer:

The sum of two negative integers is always negative.

Step-by-step explanation:

For example, add -1+-1 which =-2, which are the smallest neggative numbers possible.-100+-100=-200, and -4+-4=-8, so you see that the sum of two negative integers should always be negative.