Which 2 statements are true

It does not deal with numeric values, but rather we're talking about names or labels when we are talking about nations of origin. This variable is categorical and nominal. It is not ordinal as we cannot order the nations in any way. You could argue about alphabetical ordering of course, but that won't apply here because you could do that about any set of labels (eg: colors red,green,blue can be ordered alphabetically but intrinsically it doesn't make sense to sort colors).

Since "nation of origin" involves categories or labels representing different countries, it is considered a qualitative variable.

We have,

Qualitative variables, also known as categorical variables, represent characteristics or qualities that cannot be measured numerically.

These variables typically involve categories or labels that describe different groups or attributes.

In the case of "nation of origin," it refers to the country from which someone originates.

This variable is qualitative because it involves different categories or labels representing different nations or countries.

Examples of possible categories for nation of origin include "United States," "Canada," "France," "China," and so on.

Therefore,

Since "nation of origin" involves categories or labels representing different countries, it is considered a qualitative variable.

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Answer:

Step-by-step explanation:

Given the vectors ⟨−39,b,3⟩ and ⟨b,b²,b⟩, for the vectors to be orthogonal, the dot product of both vectors must be equal to zero.

Taking the dot product of both vectors and equating it t zero we will have;

⟨−39,b,3⟩*⟨b,b²,b⟩ = -39(b)+ b(b²)+3(b)

(Note that when multiplying, we multiply component wise and take the sum of the product if each component)

Since the vectors are orthogonal, then -39(b)+ b(b²)+3(b) = 0

open the parenthesis

-39b+b³+3b = 0

on rearranging

b³+3b-39b= 0

b³-36b= 0

factor out b from the equation

b(b²-36) = 0

b = 0 and b²-36 = 0

from b²-36 = 0

add 36 to both sides of the equation

b²-36+36= 0+36

b² = 36

take the square root of both sides

√b² = ±√36

b = ±6

Hence the values of b for the vectors to be orthogonal are 0, -6 and 6.

Answer:

[tex]A(-1,-8)[/tex]

Step-by-step explanation:

Given

Point: A(2,6)

Translation: 1 left and 3 up

Rotation: 180 degrees

Required

Image of Point A

Taking the exercise one after the other

Represent the function as: (x,y)

Such that

[tex]A(x,y) = A(2,6)[/tex]

1 unit left translation means the function becomes (x - 1, y)

2 unit up translation means the function becomes (x - 1, y + 2)

Applying the above transformation

[tex]A(2,6) -> A(2-1,6+2)[/tex]

[tex]A(2,6) -> A(1,8)[/tex]

At this stage, the coordinate becomes

[tex]A(1,8)[/tex]

When a function (x,y) is rotated by 180, the new function becomes (-x,-y)

So;

The further transformation of A is

[tex]A(1,8) -> A(-1,-8)[/tex]

Hence, the new image of A is

[tex]A(-1,-8)[/tex]

Answer:

its -1,-9

Step-by-step explanation:

Answer:

Here  x=2−3–√ ................…………………………………….....(1)

Hence  12−3√=12−3√⋅2+3√2+3√=2+3–√ .....................(2)

From (1) and (2) we get  x+1x=4 .......……………………………....(3)

and  x−1x=−23–√ ...............…………………….………....(4)

From (3) and (4) we get  x2−1x2=(x+1x).(x−1x)=−83–√.

Hoped I helped

Answer:

3 ; 4.5 ; 7.25

Step-by-step explanation:

Given the sample :

8 2 9 5 3 7 4 2 7 4 10 4 3 5

Calculate, the first, second, and third quartiles

Arranging the data in ascending order :

2, 2, 3, 3, 4, 4, 4, 5, 5, 7, 7, 8, 9, 10

First quartile :

Q1 = [(n + 1) /4]th value

n = 14

Q1 = [(14 + 1) /4]th = (15/4)th = 3.75 value

Taking the average of the 3rs and 4th observation:

(3 +3) / 2 = 3

Second quartile :

Q2 = [2(n + 1) /4]th value

Q2 = 2(15)/4 = (30/4)th value

Q2 = 7.5 ; taking the 7th and 8th value

Q2 = (4 +5) /2 = 9/2 = 4.5

Q3 = [3(n + 1) /4]th value

Q2 = 3(15)/4 = (45/4)th value

Q2 = 11.25 ; taking the 11th

Q2 = 7 + 0.25 = 7.25

Step-by-step explanation:

435 handshakes

hope this would be the right answer....

The total hands shake will be 435 hands shakes.

The combination will apply when order dose not matter and when order matter permutation will apply.

the permutation and combination rule.

nCr=n!/r!(n−r)!

here. we have,

To find the total number of hands shakes we have to apply the permutation and combination rule.

nCr=n!/r!(n−r)!

Given:

There are 30 people in meeting.

In the given question order not does not matter so combination will applicable.

Calculate the number of hands shakes

C(30,2) = 30!/ 2! (30-2)!

            =435

Thus, the total hands shake will be 435 hands shakes.

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Answer:

2.5075

Step-by-step explanation:

If the sales tax rate is 7.375% in New York State then how much sales tax would you pay in Albany for a $34 pair of pants

Sales Tax. If the sales tax rate is 7.375% in New York State, then how much sales tax would you pay in Albany for a $34 pair of pants? 34.00 x 0.07375 = 2.5075.

Answer:

The value is  [tex]y'(t) = \frac{k}{\sqrt{y(t)} }[/tex]

Step-by-step explanation:

From the question we told that are

      The rate of growth of mice is inversely proportional to the square of the population

   This above statement can be mathematically represented as

        [tex]\frac{d y }{dt} \ \ \ \alpha \ \ \frac{1}{\sqrt{y(t)} }[/tex]

Here  [tex]y(t)[/tex] is the population

=>     [tex]\frac{d y }{dt} = \frac{k}{\sqrt{y(t)} }[/tex]

=>     [tex]y'(t) = \frac{k}{\sqrt{y(t)} }[/tex]

Answer:

1).

Difference = $6

Interest rate= 4.03%

2).diffrence = $97

Interest rate = 14.37%

3). Difference = $7

Interest rate= 4.67%

4). difference= 191

Interest rate= 9.6%

5). Difference= 2.25

Interest rate= 3%

6). Difference=$ 302

Interest rate=9.12%

Step-by-step explanation:

1).$10 per months for 15 months

= 10*15=$150

PLus a down payment of $5= $155

Interest = 155-149= $6

Interest rate = 6/149*100= 4.03%

2.)$120.00 per month for 6 months

= 120*6=$ 720

Plus a down payment of $52=$772

Interest= 772-675= $97

Interest rate = 97/675 *100= 14.37%

3). $12.00 per month for 11 months

= 12*11= 132 plus down payment of $25

= $157

Interest= 157-150= $7

Interest rate=7/150 *100= 4.67%

4).$74.00 per month for 24 months

= 74*24=$1776

Plus a down payment of $400=$ 2176

Interest= 2176-1985= 191

Interest rate= 191/1985*100= 9.6%

5).$4.75 per week for 11 weeks

= 4.75*11=$52.25

Plus a down payment if $25

= 25+52.25=$ 77.25

Interest= 77.25-75= 2.25

Interest rate= 2.25/75 *100= 3%

6).$300 a month for 10 months

= 300*10= $3000

Plus a down payment of $600

= $3600

Interest=3600-3298= 302

Interest rate= 302/3298 *100=9.12%

Answer:3/8

Step-by-step explanation:

The simplest form of  

15 /40  is  3 /8 .

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 15 and 40 is 5

Divide both the numerator and denominator by the GCD

15 ÷ 5

40 ÷ 5

Reduced fraction:  

3 /8

Therefore, 15/40 simplified to lowest terms is 3/8.

Answer:

Computed mean = 51.6

Actual mean > computed mean

Step-by-step explanation:

Low temp. - - Freq(f) - - midpoint(x) - - fx

40−44 - - - - - 2 - - - - - - - 42 - - - - - - 84

45−49 - - - - - 7 - - - - - - - 47 - - - - - - 329

50−54 - - - - - 9 - - - - - - - 52 - - - - - - 468

55−59 - - - - - 5 - - - - - - - 57 - - - - - - 285

60−64 - - - - - 2 - - - - - - - 62 - - - - - - 124

Mean (m) = Σ(fx) / Σ(f)

Σ(fx) = 84 + 329 + 468 + 285 + 124 = 1290

Σ(f) = 2 + 7 + 9 + 5 + 2 = 25

Mean (m) = 1290 / 25

Computed mean (m) = 51.6

Actual mean = 56.6

Actual mean > computed mean

56.6 > 51.6

Answer:

64 dollars

Step-by-step explanation:

8 children and 8 adults

2 dollars for a child and 6 dollars for an adult

cost for children

8 children * 2 dollars each = 16

cost for adults

8 adults * 6 dollars each = 48

Add the two costs together

16+48 =64

Answer:

8×2=16

8×6=48

48+16=64

Answer:

11,524,869

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1+1+1+1+1+46\times \:7\times \:7\times \:7\times \:75\times \:8\times \:56+4+6+8\\\\\mathrm{Multiply\:the\:numbers:}\:46\times \:7\times \:7\times \:7\times \\\:75\times \:8\times \:56\\\\\\=530140800\\\\=1+1+1+1+1+530140800+4+6+8\\\mathrm{Add\:the\:numbers:}\:1+1+1+1+1+530140800+4+6+8\\=530140823[/tex]

Answer:

  acute

Step-by-step explanation:

An acute angle measures less than 90°.

its hard to explain and show work but so you know the answer is no and its because they converted yards to miles and did the formula for ft to miles instead of yd to miles they did 5280 ft per mile and not 1760 yd per miles

Answer:

13.63 miles per hour

Step-by-step explanation:

100 yards / 15 sec  converted to miles per hour

100 yards  x  60 sec  x   60 min   x  1 mile       =  13.63 miles/hr

   15 sec           1 min            1 hr         1760 yards

the mistake on Mrs Dukes is the conversion from miles to yards.

1 mile = 1760 yards NOT 5280 yards

Answer:

It would be option A. 10 Minutes.

Step-by-step explanation:

If you look at the graph, the farthest point, and the time of 10 minutes meet at the point (10, 2,500)

(Really hoping this helps <3)

Answer:

donkeey kongy

Step-by-step explanation:

Answer:

(64)^-4= 1/64^4= 1/16777216

Answer:

  x = 3

Step-by-step explanation:

Maybe you want the equation of the line.

__

A vertical line has undefined slope. Its equation is of the form ...

  x = constant

In order for the line to go through a point with an x-coordinate of 3, the constant must be 3.

  x = 3 . . . . equation of the line

Answer:

degrees of freedom = 15

tc= 1.746

Step-by-step explanation:

The degrees of freedom is given by n-1 where n is the sample size .

so the degrees of freedom for a t distribution is 16-1= 15

Now we have to find tc for 95%  confidence interval. For this we look at the t- table under the 1-0.95= 0.05  for alpha for 15 degrees of freedom and the value is 1.746

This area is to  the right side under the t distribution with the given degrees of freedom for the given alpha.

It can also be found out by other calculators such as graphing calculator.

Using the degree of freedom formula and the Tcritical distribution, the degree of freedom and Tcritical value are 15 and 2.131 respectively

Given that :

Hence, the degree of freedom, df = 16 - 1 = 15

The t critical value :

Tcritical = [tex]t_{\frac{0.05}{2}}, 15 = 2.131 [/tex]

Hence, the Tcritical value is 2.131.

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Answer:

72

Step-by-step explanation:

Initial ratio of maple trees to oak trees

New ratio  of maple trees to oak trees

Number of oak trees = 132

Number of maple trees

Total number of trees

Initial number of maple trees

The difference in the number of maple trees:

Answer:

72 more trees before the bug problem

Step-by-step explanation:

The ratio was 9:5 before the bug problem and 3:11 after.

After the bug problem there were 132 oak trees,

m : 132 = 3 : 11

Then we know

m/132 = 3/11

Multiplying both sides by 132 cancels on the left

132 × (m/132) = (3/11) × 132

m = (3/11) × 132

Then solving for m

m = 132 × (3/11)

m = 36   This gives us the number of trees after the bug problem.

This would give us 168 trees in total, 132 oak, and 36 maple.

Since there is the same number of trees as before we calculate the number of maple and oak previously.

If Shelley counted 9 maple for every 5 oak we know that 9 out of 14 trees are maple and 5 out of 14 trees are oak.

9/14 = .6428 which is the percentage of maple trees before the bug problem.

We multiply .6428 x 168 (the total number of trees) and we get 108.

if there are 108 maple trees then 168-108 = 60 oak trees.

Further proof:

9:5 or 9/5 = 1.8     108/60 = 1.8

108 maple trees and 60 oak before the bug problem.

So 108 (maple before bug problem) and 36 maple trees after:

108 - 36 = 72 more trees before the bug problem

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-74,-76) and (-35,4)

The distance between the points is

We have the final answer as

Hope this helps you

Answer:

The  value is  [tex]k = 3 \ inches[/tex]

Step-by-step explanation:

From the question we are told that

   The  length is   [tex]l = 25 \ ft[/tex]

   The  width is  [tex]w = 12 \ inches = \frac{12}{12} = 1\ ft[/tex]

Generally let assume that (k ft)  was turned up on each side hence the remaining width is  

             [tex](1 - 2 k ) \ ft[/tex]

Now  the capacity is also the volume it can hold which is mathematically represented as

         [tex]C = 25 (1- 2k) k[/tex]

          [tex]C = 25 (k- 2k^2)[/tex]

          [tex]C = 25k - 50k^2[/tex]

At maximum  or minimum  

     [tex]\frac{dC}{dk} = 0[/tex]

=>    [tex]\frac{dC}{dk} = 25 - 100k = 0[/tex]

=>    [tex]k = 0.25\ ft[/tex]

Now  to see if the value  obtained is positive or negative we differentiate a second time

    So

        [tex]\frac{d^2C}{dk^2} = - 100k[/tex]

at  k  =  0,25 ft

       [tex]\frac{d^2C}{dk^2} = - 100(0.25)[/tex]

       [tex]\frac{d^2C}{dk^2} = -25[/tex]

since a negative  value is obtained then k is  the maximum value  

converting to inches

     [tex]k = 0.25 * 12[/tex]

     [tex]k = 3 \ inches[/tex]

Answer:

$306.40

Step-by-step explanation:

Multiply 15.32 by 20

Step-by-step explanation:

sorry jesica I don't know the answer

a. −4

b. 2

c. −125

d. −1,348

e.  27

f. 398

Answer:

  4.32%; no

Step-by-step explanation:

The value of 0.24 differs from the mean by 0.84 -0.24 = 0.60. 2 standard deviations from the mean would be a difference of 2×0.35 = 0.70.

A statistical calculator says the probability of a depth less than 0.24 mm for the given distribution is about 4.32%.

The value differs from the mean by less than 2 standard deviations, so is not considered unusual.

Answer:

Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.

Step-by-step explanation:

None. the expression explains it.

Answer:

A. 224 messages per hour

B. 256 messages per hour

C. 544 messages per hour

D. 1296 messages per hour

Step-by-step explanation:

First you need to figure out how many messages Nick wrote in 1 hour

36 messages ÷ 2.25

2.25 hours ÷ 2.25

=

16 messages

1 hour

=

16 messages

hour

Then you multiply how ever many hours by 16 because Nick can write 16 messages in 1 hour.