5. Decide whether each statement is true or false. (1 point each)

a. T/F: If there is a strong correlation between two variables, the correlation coefficient will be close to –1 or 1.

b. T/F: If there is a negative correlation between two variables, the slope of the regression line will be positive.


c. T/F: If there is a strong correlation between two variables, there is a cause-and-effect relationship.


d. T/F: The best model for data that change direction is a linear model.


e. T/F: A regression line is useful for predicting unknown values within the range of the observed data values.

Answer:

C) 104 units^3

Step-by-step explanation:

The formula for volume in a rectangular prism is V=lwh

There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.

smallest: V=(2)(2)(4) = 16

Medium: (2)(2)(6) = 24

Largest: (2)(2)(16) = 64

Add it together: 16+24+64= 104

Your answer is 104 units^3

:)

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

The solution sets of the given system of equations are (3,25) and (7,9).

Given equations are :

[tex]y=-x^{2} +6x+16[/tex]........(1)

[tex]y=-4x+37[/tex]...........(2)

An equation is a statement that equates to two expressions.

So, for the solutions of the  given system of equations

[tex]-x^{2} +6x+16=-4x+37[/tex]

[tex]x^{2} -10x+21=0[/tex]

[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]

[tex](x-3)(x-7)=0[/tex]

So, [tex]x=3[/tex]

[tex]x=7[/tex]

Corresponding y value for x=3

[tex]y=-4*3+37\\y=25[/tex]

Corresponding y value for x=7

[tex]y=-4*7+37[/tex]

[tex]y=9[/tex]

Hence, the solution sets of the given system of equations are (3,25) and (7,9).

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Answer:

74 and 79

Step-by-step explanation:

one standard deviation= 5°

range of one standard deviation: (78-5) to (78+5)

                                                        73° to 83°

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = [tex]10^2[/tex] square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

The volume of square based cuboid is [tex]400cm^{3}[/tex].

Given that, base is square and side of base is 10 cm.

Height of the square-based cuboid.is 4cm.

Area of base = [tex](side)^{2}=(10)^{2}=100cm^{2}[/tex]

Volume of the cuboid is multiplication of base area and height of the cuboid.

  [tex]Volume=100*4=400cm^{3}[/tex]

Hence, the volume of square based cuboid is [tex]400cm^{3}[/tex].

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Equality Properties

Circumference Formula(s):
[tex]\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}[/tex]

where d is the diameter and r is the radius.

Let's organize what is given to us in the problem.

We are given that we are riding a Ferris wheel and have traveled 157 feet.

Let's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:

∴ the radius of the Ferris wheel is equal to 25 feet.

*Note: A similar question is found here w/ two different answers - https://brainly.com/question/8607274

The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.

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Topic: Geometry

Unit: Circles

Answer:

50 feet

Step-by-step explanation:

trust

Answer:

-5 < a < 3.4

Step-by-step explanation:

3 - 2a < 13

3 - 13 < 2a

2a > -10

a > -5

5a < 17

a < 3.4

Solution:

-5 < a < 3.4

Step-by-step explanation:

Step 1:  Find the solution to the first equation

[tex]3 - 2a < 13[/tex]

[tex]3 - 3 - 2a < 13 - 3[/tex]

[tex]-2a < 10[/tex]

[tex]-2a / -2 < 10 / -2[/tex]

[tex]a > -5[/tex]

Step 2:  Find the solution to the second equation

[tex]5a < 17[/tex]

[tex]5a / 5 < 17 / 5[/tex]

[tex]a < 3.4[/tex]

Answer:  [tex]-5 < a < 3.4[/tex]

Answer: 4π cm or 12.56 cm

Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.

Since the radius is 2 centimeters, we can

plug in 2 centimeters for r in the formula.

So we have (2)(π)(2 cm) which is equal to 4π cm.

So the circumference of this circle is 4π cm.

Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.

So we have (4)(3.14) which is equal to 12.56.

So the circumference of the circle is

approximately equal to 12.56 cm.

Answer:

A

Step-by-step explanation:

edge 2020

Answer:

its A

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:

60*5%= 3

According to this, Hunter answered correctly 3 problems on the final exam.

Answer:

Interest earned is $90

balance is $290

Step-by-step explanation:

Answer:

Step-by-step explanation:

A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.

Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.

3 × 17 over 17 × 21 with the first as numerator and second one as denominator

We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7

The expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]

From the question,

We are to evaluate  3/17 x 17/21

First, we will write the expression properly

The expression can be written as

[tex]\frac{3}{17} \times \frac{17}{21}[/tex]

The expression can be evaluated as shown below

[tex]\frac{3}{17} \times \frac{17}{21}[/tex] becomes

[tex]\frac{3 \times 17}{17 \times 21}[/tex]

Simplifying, we get

[tex]\frac{3}{21}[/tex]

Further simplification gives

[tex]\frac{1}{7}[/tex]

Hence, the expression, simplified to its lowest form is [tex]\frac{1}{7}[/tex]

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Answer:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. ... Two angles are said to be complementary when the sum of the two angles is 90°.

Step-by-step explanation:

Answer:

A+G

Step-by-step explanation:

:D

Answer:

ethanol

Step-by-step explanation:

The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.

The enthalpy of combustion of the unknown compound is

ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol

To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,

e% =  ( | ΔHx - ΔH | / ΔHx ) x 100%

where ΔHx is the enthalpy of combustion of the probable compound.

The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol

Compound Enthalpy of combustion (kJ/mol)   Deviation

Methane                        - 890.7                                 43.8%

Ehylene                         -1411.2                                   9.3%

Ethanol                        -1368.6                                    6.5%

According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.

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Answer: ethanol

Step-by-step explanation:

Got it right on edge

Answer:

Step-by-step explanation:

jan

m

m

jun

july

5/12

Probability month starts with the letter J or M is 5/12

Computation:

Number of total month = 12

Number of month starts with the letter J or M = 5

Probability = Number of desired output ÷ Number of total output

Probability month starts with the letter J or M is = 5 / 12

So, Option 'D' is the correct answer to the following question.

Find out more information about 'Probability'.

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Answer:

343.77

Step-by-step explanation:

1 radian is about 57.2958 degrees

so 57 times 6 is about 343.77

Answer:

Yes

Step-by-step explanation:

since it is being multiplied by -3 each time its geometric

Answer:

positive

Step-by-step explanation:

Answer:

length of the arc = 6.28 ft

Step-by-step explanation:

[tex]r = 3 \: ft \\ central \: angle \: ( \theta) = \frac{2\pi^{c} }{3} = 120 \degree \\ \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ l = \frac{ 120 \degree}{360 \degree} \times 2 \times 3.14 \times 3\\ \\l = \frac{ 1}{3} \times 6.28 \times 3\\ \\ l = 6.28 \: ft \\ [/tex]

Answer:

15.8 I think.........

Answer:

Mark me brain list pls pls pls pls pls pls

Step-by-step explanation:

16.9

Answer:

90%

Step-by-step explanation:

Complimentary means the same. And adding them together would equal 90. Just as you would divide 90 by 3, each individual angle would be equal to 30.

Answer:

work is shown and pictured

Answer:

$5.94

Step-by-step explanation:

12.78 + 10% (1.28) = 14.06

20.00 - 14.06 = 5.94

Answer:

Carlos bought 80 feet of wire for ​$17.60.

Then the price for 1 feet of wire is 17.6/80 = 0.22

=> 30 feet of wire would cost: 30 x 0.22 = 6.6

Hope this helps!

:)

Answer:

Wind and biofuel

Step-by-step explanation:

The other are all nonrenewable.

Hope this helps. Also will you friend me so I know if you need any more help I can help you.

Answer: 3 fluid ounces

Step-by-step explanation:

The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.

To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be: = 70% of 10 ounces

= 7/10 × 10

= 7 fluid ounces.

Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:

= 10 ounces - 7 ounces

= 3 ounces.

The regular bottle of shampoo holds 3 fluid ounces.

Answer: it's around 40

Step-by-step explanation:

Answer:

The fixed amount Gi earns for each television he sells is $ 55.

Step-by-step explanation:

If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:

per tv = total earnt/total sold

per tv = 1190/14 = 85

Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:

x + 30 = 85

x = 85 - 30

x = 55

The fixed amount Gi earns for each television he sells is $ 55.

Answer:

x = [tex]\sqrt{120}[/tex] ≈ 10.95

Step-by-step explanation:

Use Pythagorean Theorem a²+b²=c²

6²-4²=a²

36-16=a²

a²=20

a=[tex]\sqrt{20}[/tex]

[tex]\sqrt{20[/tex]²+10²=c²

20+100=c²

c²=120

c= [tex]\sqrt{120}[/tex] ≈ 10.95

Answer:12

Step-by-step explanation:37=3x+1