Inductive and deductive reasoning differ in which way?


Conclusions drawn using deductive reasoning are always false, while conclusions drawn using inductive reasoning are always true.

Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.

Conclusions drawn using inductive reasoning are always false, while conclusions drawn using deductive reasoning are always true.

Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.

Answer:

[tex]b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}[/tex]

Step-by-step explanation:

Given

[tex]f(b) = b^2 - 75[/tex]

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

[tex]0 = b^2 - 75[/tex]

Add 75 to both sides

[tex]75 + 0 = b^2 - 75 + 75[/tex]

[tex]75 = b^2[/tex]

Take square roots of both sides

[tex]\sqrt{75} = \sqrt{b^2}[/tex]

[tex]\sqrt{75} = b[/tex]

Reorder

[tex]b = \sqrt{75}[/tex]

Expand 75 as a product of 25 and 3

[tex]b = \sqrt{25*3}[/tex]

Split the expression

[tex]b = \sqrt{25} *\sqrt{3}[/tex]

[tex]b = \±5 *\sqrt{3}[/tex]

[tex]b = \±5 \sqrt{3}[/tex]

[tex]b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}[/tex]

The options are not clear enough; however the roots of the equation are [tex]b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}[/tex]

Answer:

2.5 meters per second

Step-by-step explanation:

9x1000=9000m/h

9000/60/60=2.5m/s

Answer:

2.5 m/s

Step-by-step explanation:

convert kilometers to meters and then use a conversion calc to do the rest

Answer:

  60

Step-by-step explanation:

In the function, the growth factor is "a", the base of the exponent. When the exponent is increased by 1, the value is multiplied by "a".

  f(7) = a·f(6) = 4·15

  f(7) = 60

_____

As you know, the exponent signifies repeated multiplication. So, an increase of 1 in the exponent means the base is part of the product one more time:

  a^6 = a·a·a·a·a·a

  a^7 = a·a·a·a·a·a·a = a·(a^6)

Answer:

78 grams

Step-by-step explanation:

20% is 1/5

1/5 of 65 is 13

65 + 13 = 78

brainliest?

Answer:

a) Expected Value of Claims = $32,000

b) Average premium per claim, in order to break-even on claim costs

= $5,333.33

c) To make a profit of $60 per policy (i.e. a total profit of $360 ($60 x 6), it must charge:

= $5,393.33 per policy

Step-by-step explanation:

a) Data and Calculations:

Amount of Claim      Probability   Expected Value

$0                               0.60             $0

$50,000                     0.25             $12,500

$100,000                   0.09                 9,000

$150,000                   0.04                 6,000

$200,000                  0.01                 2,000

$250,000                 0.01                 2,500

Expected Cost of claims =          $32,000

b) Average premium per claim, in order to break-even on claim costs

= Total Claim cost divided by number of policies

= $32,000/6 = $5,333.33

c) To make a profit of $60 per policy (i.e. a total profit of $360 ($60 x 6), it must charge:

Total Claim cost + Total profit / 6 or Average Premium plus Profit per policy =

= ($32,000 + $360)/6 or $5,333.33 + $60

= $32,360/6 or $5,393.33

= $5,393.33

The total expected value is $32000, the average premium so that it breaks even on its claim  costs are $5333.33 and the company charge to make a profit of $60 per policy is $5393.33.

Given :

The table shows claims and their probabilities for an insurance company.

Amount of Claim          Probability               Expected Value

$0                                      0.60                             0

$50000                             0.25                            $12500

$100000                            0.09                            $9000

$150000                            0.04                             $6000

$200000                           0.01                              $2000

$250000                            0.01                             $2500

A) So, the total expected value is = 12500 + 9000 + 6000 + 2000 + 2500

                                                   =  $32000

B) The average premium is given by:

[tex]=\dfrac{32000}{6}[/tex]

= $5333.33

C) The company charge to make a profit of $60 per policy is:

[tex]= \dfrac{32000+360}{6}[/tex]

[tex]=\dfrac{32360}{6}[/tex]

= $5393.33

For more information, refer to the link given below:

https://brainly.com/question/21835898

Answer:

(Y∩Z)∩X = {r,a,e}

Step-by-step explanation:

U = {a,b,c,d,e,f,............,z)

X = { t,r,i,a,n,g,l,e}

Y = {t,r,a,p,e,z,o,i,d}

Z = {h,y,p,e,r,b,o,l,a}

Firstly,

Y∩Z = {t,r,a,p,e,z,o,i,d} ∩  {h,y,p,e,r,b,o,l,a}    [Intersection : Common Elements]

=> Y∩Z = {r,a,p,e,o}

Now,

(Y∩Z)∩X =  {r,a,p,e,o} ∩ { t,r,i,a,n,g,l,e}

=> (Y∩Z)∩X = {r,a,e}

Answer:

  17π/10

Step-by-step explanation:

To find a co-terminal angle in a specific range, add or subtract multiples of 2π until you have an angle in the desired range. Here, you can add 2π.

 -3π/10 +20π/10 = 17π/10 . . . . angle co-terminal with -3π/10

Answer:

A. [tex]\frac{9}{10}[/tex]

B. 1

C. [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex]

D. [tex]\frac{2}{30}[/tex] or [tex]\frac{1}{15}[/tex]

E. [tex]\frac{12}{70}[/tex] or [tex]\frac{6}{35}[/tex]

F. [tex]\frac{6}{90}[/tex] or [tex]\frac{1}{15}[/tex]

G. [tex]\frac{9}{32}[/tex]

H. [tex]\frac{4}{15}[/tex]

Answer:

Step-by-step explanation:

Reducing the given expressions to the lowest terms:

A. 3/10 + 6/10:

B. 1/3 + 1/4 + 1/6:

C. 5/6-3/6:

D. 2/3-6/10:

E. 4/10*3/7:

F. 1/6*6/15:

G. 1/8 divided by 4/9:

H. 1/5 divided by 3/4:

Answer:

120 ways

Step-by-step explanation:

She has 6 friends and needs 3 people to do jobs. This means that for the first job, she has 6 options for someone to buy beverages, but for the second job, she will now only have 5 options, as somebody is already buying beverages. After she assigns someone to the second job, she now has 4 people to pick from for the third job, as 2 are already doing a job. This means she has 6*5*4 ways to assign her volunteers, or 120 ways.

Answer:

NO

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

-17 isn't a natural number

▹ Step-by-Step Explanation

Positive integers are only natural numbers, meaning negative numbers aren't natural numbers.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

15 49-cent stamps

Step-by-step explanation:

We can solve this problem with the equations 0.49(x) + 0.21(y) = 9.45 and x - 5 = y. Well, 0.49(15) + 0.21(10) = 9.45, so we know that there are 15 49-cent stamps and 10 21-cent stamps. The question is asking for the number of 49-cent stamps, so we can tell Travis bought 15 49-cent stamps.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.

The number of 49-cent stamps that Travis bought given the equation is 15.

Given this equation: 0.49s+0.21(s−5)=9.45 take the following steps to determine the value of s

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Answer:

Step-by-step explanation:

Given that:

mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%

The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.

From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87

We substitute z = 0.88 in the z score equation to find the raw score. Therefore:

[tex]z=\frac{x-\mu}{\sigma}\\0.87=\frac{x-476}{36}\\ x-476=31.32\\x=31.32+476\\x=507.32\\[/tex]

x ≅ 507 grams

Therefore 19% of fruits weigh more than 507 grams

Answer:

x = 8

Step-by-step explanation:

To find the possible value of x in the given trapezoid MNOP with median QR, recall that one of the properties of a trapezoid is that the median length = ½ of the sum of the length of the parallel bases

Thus, ½ of [x + (3x + 8)] = 20

Let's find x

½*[x + (3x + 8)] = 20

½*[x + 3x + 8)] = 20

½*[4x +8] = 20

Multiply both sides by 2

4x + 8 = 20*2

4x + 8 = 40

Subtract 8 from both sides

4x = 40 - 8

4x = 32

Divide both sides by 4

x = 32/4

x = 8

Answer:

I think its 8 ‍♂️

Step-by-step explanation:

Answer:

The correct answer will be "0.3043".

Step-by-step explanation:

The given values are:

[tex]\mu = 15[/tex]

[tex]n=41[/tex]

[tex]\sigma^2=25[/tex]

then,

[tex]\sigma=5[/tex]

If researchers know representative sample n > 30 and default deviation those who use z-test

∴  [tex]P(x>15.4)[/tex]

⇒  [tex]1-P(x<15.4)[/tex]

⇒  [tex]1-P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } <\frac{15.4-15}{\frac{5}{\sqrt{41} } } )[/tex]

⇒  [tex]1-P(Z<0.51225)[/tex]

⇒  [tex]1-0.695762[/tex]

⇒  [tex]0.3043[/tex]

Answer:

Number of red squares used are 79.

Step-by-step explanation:

Given that Adam had used 84 white squares.

White squares used are 20 more than that of yellow.

Let yellow squares used = [tex]x[/tex]

([tex]x[/tex] + 20) is the number of white squares used.

Also given that 15 more red than yellow

So, Number of red squares used = [tex]x+15[/tex]

To find:

Number of red squares that Adam used.

Solution:

As per given statement:

White squares used =

[tex]x+20=84\\\Rightarrow x=64[/tex]

[tex]\therefore[/tex] Number of yellow squares used, [tex]x[/tex] = 64

Number of red squares = [tex]x + 15 = 64+15 =79[/tex]

So, Number of red squares used are 79.

Answer:

y=2x+6

Step-by-step explanation:

The slope is 2x and the y-intercept is 6. It is shown how to graph it in the attachment.

Answer:

39896 miles will be traveled by at least 80% of the trucks

Step-by-step explanation:

Given that :

the mean  [tex]\mu[/tex] = 50000

standard deviation  [tex]\sigma[/tex] = 12000

we are to calculate how many miles  will be traveled by at least 80% of the trucks.

This implies that :

[tex]P(X > x_o) = 0.8[/tex]

Likewise;

[tex]P(X < x_o) = 1- P(X > x_o)[/tex]

[tex]P(X < x_o) = 1-0.8[/tex]

[tex]P(X < x_o) = 0.2[/tex]

We all know that

[tex]z = \dfrac{X- \mu}{\sigma}[/tex]

[tex]P(\dfrac{X- \mu}{\sigma}< \dfrac{x_o - \mu }{\sigma}) = 0.2[/tex]

[tex]P({z < \dfrac{x_o - \mu }{\sigma}) = 0.2[/tex]

Using the z table to determine the value for (invNorm (0.2)); we have ;

[tex]\dfrac{x_o - \mu }{\sigma} = invNorm (0.2)[/tex]

[tex]{x_o - \mu } = {\sigma} \times invNorm (0.2)[/tex]

[tex]{x_o } = \mu + {\sigma} \times invNorm (0.2)[/tex]

From z tables; [tex]invNorm (0.2)= -0.842[/tex]

[tex]{x_o } = 50000 + 12000 \times(-0.842)[/tex]

[tex]{x_o } = 50000 -10104[/tex]

[tex]\mathbf{{x_o } =39896}[/tex]

Thus; 39896 miles will be traveled by at least 80% of the trucks

Answer:

in 1,2 options they r in exponential form

in 4,option also, we can write it as xpower1/2 so this also in exponential form

but in third option y=x there is no exponential form

Answer:

B

Step-by-step explanation:

Answer:

The total number of ways to select 2 CDs from 8 CDs is 28.

Answer:

QS

Step-by-step explanation:

The side opposite to the smallest angle must be the shortest side. The smallest angle is ∠R so the opposite side is QS.

Answer:

Hey there!

Smaller angles are opposite smaller sides, so the side opposite to angle R would be the shortest. (Or side SQ)

Hope this helps :)

(a) The support has length 920 - 720 = 200, so X has probability density

[tex]f_X(x)=\begin{cases}\frac1{200}&\text{for }720\le x\le920\\0&\text{otherwise}\end{cases}[/tex]

X has mean

[tex]E[X]=\displaystyle\int_{-\infty}^\infty xf_X(x)\,\mathrm dx=\frac1{200}\int_{720}^{920}x\,\mathrm dx=\boxed{820}[/tex]

and variance

[tex]V[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2[/tex]

The second moment is

[tex]E[X^2]=\displaystyle\int_{-\infty}^\infty x^2f_X(x)\,\mathrm dx=\frac1{200}\int_{720}^{920}x^2\,\mathrm dx=\frac{2,027,200}3[/tex]

and so

[tex]V[X]=\dfrac{2,027,200}3-820^2=\dfrac{10,000}3[/tex]

The standard deviation is the square root of the variance, so

[tex]SD[X]=\sqrt{V[X]}=\sqrt{\dfrac{10,000}3}\approx\boxed{57.73}[/tex]

(b)

[tex]P(X<870)=\displaystyle\int_{-\infty}^{870}f_X(x)\,\mathrm dx=\frac1{200}\int_{720}^{870}\mathrm dx=\frac{870-720}{200}=\boxed{0.75}[/tex]

Answer:

35 students

Step-by-step explanation:

Take the number of students in the class and multiply by 60% and see if you get an integer number

28 * .60 =16.8  not an integer

32 * .6 =19.2

35 * .6 =21  yes

39*.6 =23.4

Answer:

  49

Step-by-step explanation:

The greatest common divisor of the addends must also be a divisor of 2009. That number can be factored as ...

  2009 = 1×2009 = 7×287 = 41×49

The largest possible factor such that the other factor can be a sum of 9 positive integers is 49.

The maximum value of the GCD is 49.

Answer:

54

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Step-by-step explanation:

To find length of KC...we need to find the length of HM and MU first ...

so....HM= 96- 78 = 14

JU = 96 + HM = 96 + 14 = 110

....

KU = 110 - JK = 110 - 82 = 28

....

UN = 105+ 82 -( 96 + 14 )

187 - 110

= 77

UC = 77 - 51 = 26

KC = UC + KU = 26 + 28 = 54

The length of [tex]\overline{KC}[/tex] along line [tex]\overline{JN}[/tex] is given as 54 (Option A) See the computation below.

To determine the length of [tex]\overline{KC}[/tex], the length of [tex]\overline{HM}[/tex] and [tex]\overline{MU}[/tex]must first be derived.

[tex]\overline{HM}[/tex] = 96 - 78

[tex]\overline{HM}[/tex] = 14

[tex]\overline{JU}[/tex] = 96 + [tex]\overline{HM}[/tex]

= 96 + 14

[tex]\overline{JU}[/tex]= 110

[tex]\overline{KU}[/tex] = 110 - [tex]\overline{JK}[/tex]

= 110 - 82

[tex]\overline{KU}[/tex]= 28

[tex]\overline{UN}[/tex] = 105+ 82 -( 96 + 14 )

=187 - 110

[tex]\overline{UN}[/tex]= 77

[tex]\overline{UC}[/tex] = 77 - 51

[tex]\overline{UC}[/tex]= 26

Thus,

[tex]\overline{KC}[/tex] = [tex]\overline{UC}[/tex] + [tex]\overline{KU}[/tex]

[tex]\overline{KC}[/tex]= 26 + 28

[tex]\overline{KC}[/tex]= 54

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Answer:

C(d) = d(2.25) + m(0.3)

Step-by-step explanation:

A taxi company charges $2.25 per ride plus $0.30 per mile.

Let d represent number of rides..

Let m represent number of Miles...

Then let C represent the total cost for each ride at a specific number of Miles.

The linear model representing the cost as a function of d the total ride

C(d) = d(2.25) + m(0.3)

The values stand independently because the customer can choose a different right and a different mile.

Answer:

We accept null hypothesis

Step-by-step explanation:

We assume a normal distribution

The population mean  μ₀ = 65 mph      

Sample mean     μ  = 63,2  mph ( calculated from data )

Sample standard deviation  σ  =  7,309

Sample size    n  = 8

Degree of freedom  is   n - 1         8 - 1   = 7

As n < 30  we have to use the t-student test

We will do our test with a confidence interval of  95 % that means            α = 5  %

or α = 0,05 and as we are going through a two-tail test α/2  = 0,025

Test Hypothesis:

Null Hypothesis:                                  H₀              μ  =   μ₀

Alternate Hypothesis                          Hₐ              μ  ≠   μ₀

From  t-student table for the degree of freedom 7,  α/2  = 0,025 two-tail test we find tc

tc = 2,365

And  calculate ts   as

ts = ( μ - μ₀ ) / σ /√n

ts = ( 63,2 - 65 ) / 7,309/ √8

ts = - 1,8 *2,828/ 7,309

ts = - 5,091 /7,309

ts = - 06965

Now we compare   ts and tc

tc = 2,365      or  tc = - 2,365    ( by simmetry)   tc = -2,37

and  ts = -0,06965      ts = - 0,07

As |ts| < |tc|

ts is in the acceptance zone so we accept null hypothesis

Answer:

-0.70

Step-by-step explanation:

For the tabulated value the mean is calculated as:

Mean = (60.5 + 63.2 + 54.7 + 51.6 + 72.3 + 70.7 + 67.2 + 65.4)/8

= 505.6/8

Mean \bar{x}= 63.2

and population mean as assumption u= 65

and given that the sample standard deviation is: s= 7.309

The test statistic is calculated as:

Ζ = Τ –μ 63.2 - 65 = -0.696 -0.70 S

Hence the T statistic would be -0.70

Answer: 57769.8 in²

Let A be the area of the shaded region

We have a relation that can help us calculate its area

A= 0.5*(θ-sin(θ))*r² where r is the radius and θ the angle

A= 0.5*(150-sin(150°))* 27.8² =57769.79≈57769.8 in²

Answer:

818.4

Step-by-step explanation: