What is the number of possible permutations of 5 objects taken 2 at a time? A. 10 B. 20 C. 60 D. 120

Answer:17

Step-by-step explanation:

b(1)=16

b(n)=b(n-1)+1

b(2)=16(2-1)+1

b(2)=16(1)+1

b(2)=16+1

b(2)=17

Answer:

y = 0x + 1

When x=0, y = 1

Step-by-step explanation:

Answer:

  13 slices of cheese pizza

Step-by-step explanation:

Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...

  13 slices of cheese pizza were sold

Answer:

Step-by-step explanation:

Hello!

Given the variables

X₁: Weight of a safety helmet for racers

X₂: Price of a safety helmet for racers

Note, there is n= 17 observed values for each variable so for all calculations I'll use this number and disregard the 18 mentioned in the text.

a) Scatterplot in attachment.

b) If you look at the diagram it seems that there is a negative linear regression between the price and the weight of the helmets, meaning, the higher the helmet weights, the less it costs.

c) The estimated regression equation is ^Yi= a + bXi

n= 17; ∑Y= 6466; ∑Y²= 3063392; ∑X= 1008; ∑X²= 60294; ∑XY= 367536

Y[bar]= 380.35; X[bar]= 59.29

[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{367536-\frac{1008*6466}{17} }{60294-\frac{(1008)^2}{17} } = -30.18[/tex]

[tex]a= Y[bar]- bX[bar]= 380.35-(-30.18)*59.29= 2169.77[/tex]

The estimated regression equation for the price of the helmets as a function of their weight is:

^Yi= 2169.77 -30.18Xi

I hope it helps!

Answer:(7g-6h)(5g+4h)

Step-by-step explanation:

35g^2-2gh-24h^2

35g^2+28gh-30gh-24h^2

7g(5g+4h)-6h(5g+4h)

(7g-6h)(5g+4h)

Answer:

2/6 or 1/3 I think

Step-by-step explanation:

you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.

therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.

Answer: AC = 2.33

Step-by-step explanation:

use tangent to find the missing side

Tangent = opposite/adjacent

tan B = ?/5

tan 25 = ?/5

multiply each side by 5

? = 2.33153829.....

so

AC = 2.33

Answer:

B. 10 in.

Step-by-step explanation:

When you do length times width times height 10*10*10 equals 1000

10*10=100 and 100*10=1000

Answer:10 feet

Step-by-step explanation:

edge=[tex]\sqrt[3]{1000}[/tex]= 10 so the answer is B

Answer:

$1125

Step-by-step explanation:

100d + 25h = $$

100(3) + 100(3) + 25(3*3) + 25(3*4) =

300 + 300 + 225 + 300 =

1125

Answer:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Step-by-step explanation:

Both variable can be rewritten into polar form:

[tex]z_{1} = 3\cdot e^{i\cdot 0.205\pi}[/tex] and [tex]z_{2} = \frac{2}{3}\cdot e^{i\cdot 0.294\pi}[/tex]

The complex product is equal to:

[tex]z_{1}\cdot z_{2} = (3)\cdot \left(\frac{2}{3}) \cdot e^{i\cdot (0.205\pi+0.294\pi)}[/tex]

[tex]z_{1}\cdot z_{2} = 2 \cdot e^{i\cdot 0.499\pi}}[/tex]

The resultant expression in rectangular form is:

[tex]z_{1}\cdot z_{2} = 2\cdot (\cos 90^{\circ} + i \cdot \sin 90^{\circ})[/tex]

Answer:

The correct question is:

Find [tex]z_{1}.z_{2}[/tex] if [tex]z_{1}= 3(cos37 + isin37)[/tex] and [tex]z_{2}= \frac{2}{3} (cos53 + isin53)[/tex].

(Note: the angles mentioned in the equations above are in degrees)

The answer is [tex]z_{1}.z_{2}= 2i[/tex]

Step-by-step explanation:

[tex]z_{1}.z_{2}= 3(cos37 + isin37)* \frac{2}{3} (cos53 + isin53)[/tex]

[tex]z_{1}.z_{2}= (3cos37 + 3isin37)* (\frac{2}{3} cos53 + \frac{2}{3}isin53)[/tex]

[tex]z_{1}.z_{2}= 3cos37*\frac{2}{3} cos53 + 3cos37*\frac{2}{3}isin53+3isin37*\frac{2}{3} cos53+3isin37*\frac{2}{3}isin53[/tex]

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex] (Because [tex]i*i=i^{2}=-1[/tex] & [tex]i=\sqrt{-1}[/tex])

[tex]z_{1}.z_{2}= 0.961+1.275i+0.724i-0.961[/tex]

[tex]z_{1}.z_{2}= 2i[/tex]

Answer:

B

Step-by-step explanation:

521,370 would round to 521,400

26,839 would round to 27,800

and adding them would be

548,200

Answer:

Depends on the type of box, but most likely one box of crayons because 32 packs are sold.

Do you have answer choices?

Answer:

10

Step-by-step explanation:

1 kg = 1000 g

1000/100=10

Answer:

  0.6 ft

Step-by-step explanation:

The volume is the cube of the edge length, so the edge length is the cube root of the volume.

  ∛(0.216 ft³) = 0.6 ft

The edge length is 0.6 ft.

Answer:

The perimeter of the square is 106yd

Step-by-step explanation:

To solve this we first have to know the formula to calculate the area of ​​a square

a = area = 702.25yd²

s = side

a = s * s

we replace the values

702.25yd² = s * s

702.25yd² = s²

√(702.25yd²) = s

26.5yd = s

The side of the square is 26.5yd

Now we have to use the formula to calculate the perimeter of ​​a square

p = perimeter

s = side = 26.5yd

p = 4 * s

we replace with the known values

p = 4 * 26.5yd

p = 106yd

The perimeter of the square is 106yd

Answer:106 yards

Step-by-step explanation:

Length=L

Area=702.5

Area of square=L x L

702.5=L X L

702.5=L^2

L=√(702.5)

L=26.50

perimeter of square=4 x L

Perimeter of square=4 x 26.50

Perimeter of square=106

Perimeter of square=106 yards

Answer:

[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]

The value of r is always between [tex]-1 \leq r \leq 1[/tex]

And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:

[tex]r^2 = 0.8^2 = 0.64[/tex]

So then the best conclusion for this case would be:

c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

Step-by-step explanation:

For this case we know that the correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. And we know that we use the height x of a child to predict the weight y of the child

We need to rememeber that the correlation is a measure of dispersion of the data and is given by this formula:

[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]

The value of r is always between [tex]-1 \leq r \leq 1[/tex]

And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:

[tex]r^2 = 0.8^2 = 0.64[/tex]

So then the best conclusion for this case would be:

c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

Answer:

-4x^2+7x

Step-by-step explanation:

Multiply -4x+7 and x.

You get -4x^2+7x.

Answer:

16 people

Step-by-step explanation:

First subtract the cost of the rental from the amount of money:

$400-$150 = $250

Therefore Tia has $250 to spend for additional people. Then if each person is $15, divide the remaining amount of money by the amount of money per person:

$250/$15 = 16.67

Since you can't have 0.67 of a person she can have 16 people go with her.

This can also be modeled by this inequality:

[tex]150 + 15x \leqslant 400[/tex]

Answer: C(x) = 2000+ 0.05 x

Step-by-step explanation:

Hi, to answer this question we simply have to apply the next formula:

Cost (C) = fixed cost + (cost per pencil x number of pencils)

Since:

Fixed cost: $2000

Cost per pencil : $0.05

Replacing with the values given:

C(x) = 2000+ 0.05 x

Where x is the number of pencils manufactured.

Feel free to ask for more if needed or if you did not understand something.

Answer:

  108 square feet

Step-by-step explanation:

When you say "triangular prism" it means the base is a triangle and the lateral faces are all rectangles. It doesn't matter which side is lying on the ground.

So, we see this is a triangular prism with a 3-4-5 right triangle as a base, and a "height" of 8 feet.

Its total surface area is the area of the two triangle bases plus the area of the three rectangular faces:

  A = 2(1/2)(4·3) +8(3 +4 +5) = 12 +96 = 108 . . . . . square feet

Answer:

its C

Step-by-step explanation:

Answer:

Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it

Step-by-step explanation:

Answer:

4) 64 cubic inches

Step-by-step explanation:

8x8 = 64

creo que la respuesta es D

Answer:10/1320

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Input 5 for all x-values.

If that is an equal sign...

1/9*(3^5)

With PEMDAS, exponents are done before multiplication.

1/9*243

= 27

Answer:

the second answer

Step-by-step explanation:

cause 0+0.8 is 0.8 and 0.8+0.3 is 1.1

Answer:

A

Step-by-step explanation:

Answer:

45cm

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Volume of an hemisphere = 1/2 of volume of a sphere

Volume of hemisphere = 1/2{4/3πr³}

Volume of hemisphere = 2/3πr³

Given

Volume of the hemisphere = 60,750πcm³

60,750π = 2/3πr³

π cancels out

60,750 = 2/3r³

Multiply both sides by 3

2r³ = 60,750×3

2r³=182,250

Divide both sides by 2

r³ = 91,125

Find the ∛ of 91,125 to eliminate the cube on r

r = ∛91,125

r = 45cm

Answer:

17.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.  

Here we start with the expression  12n^6 + 27n^2 - 18.  'n' does not show up in every term and thus could not be a "common factor" of this expression.  On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.

12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)

1)  Identify the common factor (here it's 3)

2) Factor that out of the given expression:   3(4n^6 + 9n^2 - 6)

Answer:

Step-by-step explanation:

C for sire thanks