If a sample of 100 polar bears is taken from a population of polar bears whose average
weight is 2000 pounds and standard deviation is 300 pounds, then a 95% confidence
Interval for the sample mean would be from
to
pounds.

Answer:

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Step-by-step explanation:

4x + y = 22

y = x - 3

4x + y + y = 22 + x - 3

4x + 2y = 19 + x

4x - x + 2y = 19 + x - x

3x + 2y ÷ 3 = 19 ÷ 3

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Answer:

a)Let's solve for x.

4x+y=22

Step 1: Add -y to both sides.

4x+y+−y=22+−y

4x=−y+22

Step 2: Divide both sides by 4.

4x

4

=

−y+22

4

x=

−1

4

y+

11

2

a)y=x−3

b)y=

−1

2

x+6

b)x=y-12

Answer:

42.39 sq.cm

Step-by-step explanation:

Ф = 135°

r  = 6 cm

Area of the sector = [tex]\frac{theta}{360}*\pi *r^{2}\\[/tex]

  [tex]= \frac{135}{360}* 3.14 *6 * 6\\\\= \frac{135}{10}*3.14\\\\= 27 * 1.57\\\\=42.39[/tex]

The area of sector bounded by 135 ° arc is 42.42 cm ².

Step-by-step explanation:

Radius of the circle , r = 6 cm

Angle of the circle, θ = 135 °

Area of circle bounded by a 135 ° arc.

We know that

[tex]\small \sf \: Area \: of \: sector \: = \frac{θ}{360} \: \times \pi \times r {}^{2} \\ [/tex]

Substitute the values of r and θ , we get

Area of sector =

[tex]\small \sf \: Area \: of \: sector \: = \frac{135 °}{360} \: \times \pi \times {6cm}^{2}\\ [/tex]

[tex]\small \sf \: Area \: of \: sector \: = \frac{135°}{360} \: \times \frac{22}{7} \times 6cm \times 6cm \\ \\ \small \: \sf Area \: of \: circle \: = \frac{135}{360} \times \frac{22}{7} \times 36cm {}^{2} \\ \sf \: \: = \frac{135}{10} \times \frac{22}{7} \\ \sf \: = 42.42cm \: {}^{2} [/tex]

Therefore, The area of sector bounded by 135 ° arc is 42.42 cm ².

Answer:

60 cm^2

Step-by-step explanation:

let are of big figure be x .

area of small figure / area of big figure = 15 / 18

50/x = 15/18

do cross multiplication

x*15 = 18*50

x = 900/15

x = 60 cm^2

Answer:

below

Step-by-step explanation:

a.. it divides the triangle into two equal parts

b.. it is an isosceles triangle

c.. the base line of a mid point are equal

d.

g. two angles are equal in isosceles triangle

Answer:

4*4=16+7=23

Step-by-step explanation:

4 inches x 4 weeks is 16 inches

7 + 16 = 23

Answer: for first question answer is second option and other question answer is again b

Step-by-step explanation:

Firstly you already see that the median is increasing because it is first 403 and changing to 553. We can understand it increased

Answer:

20

Step-by-step explanation:

L times W

length times width

so 5 x 4 = 20

Answer:

scale factor is 3/2

YZ=15

JL=12

Step-by-step explanation:

JK=XY

ZY=LK

XZ=JL

15/10=3/2 (scale factor)

3/2=x/10

now cross multiply

30/2=2x/2

15=x or YZ

3/2=18/y

cross multiply

3y/3=36/3

JL or y=12

Answer:

87.95479

Step-by-step explanation:

10.3% of 853.93 km

Expand 10.3÷100 by multiplying both numerator and denominator by 10.

[tex] \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ [/tex]

[tex] \small \sf \frac{103}{1000} = 853.93 \\ [/tex]

convert decimal number 853.93 to fraction 85394÷100

[tex]\small \sf \frac{103}{1000} = \frac{85393}{100} \\[/tex]

Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.

[tex]\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\[/tex]

Do the multiplication in the fraction

[tex]\small \sf \frac{8795479}{100000} \\ [/tex]

Divide we get

87.95479

Another way to solve it

10.3% 853.93

we know that ; % = whole no. ÷ 100

then,

10.3 ÷ 100 × 853.93

Divide the numbers

0.103 × 853.93

multiply the numbers

87.95479

Answer:

15 weeks

Step-by-step explanation:

First, calculate the total that is needing to be saved not including the money she already has.

So 700 minus 175 is 525.

Next, to find the number of weeks, divide 525 by 35 which gives you 15 even.

So if Kalon continues to save $35 a week, it will take him 15 weeks to reach his goal of $700.

Answer:

5.74

Step-by-step explanation:

The value of AC in the given right triangle is 5.74 units.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) - a² + b² = c².

Given that, the right triangle ABC, AB = 4 and BC = 7.

According to Pythagoras theorem,

AC² = AB²+BC²

AC² = 7²+4²

AC = √33 = 5.74

Hence, The value of AC in the given right triangle is 5.74 units.

For more references on Pythagoras theorem, click;

https://brainly.com/question/343682

#SPJ2

Answer:

3.32+8÷2-(4+3)

=3.32+8÷2-7

=3.32+4-7

=7.32-7

=0.32

this is the correct answer but unfortunately it's not in the options, maybe you need to check the options again :)

Answer:

32

put 12.8% as a decimal which is 0.128 and times it by 250

Answer:

32

Step-by-step explanation:

[tex]\frac{y}{250} :\frac{12.8}{100}[/tex]

y × 100 = 250 × 12.8

100y = 3200

100y ÷ 100 = 3200 ÷ 100

y = 32

Answer:

the equation as intercept form is

y = 3x + 5

Answer: [tex]\dfrac{6}{26}[/tex]

Step-by-step explanation:

Given

Denominator is 4 more than twice its numerator

Suppose the numerator is x. So, it follows above condition, fraction becomes

[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]

If both numerator and denominator are reduced by 6, they become equal

[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]

The fraction is

[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]

Answer:

62.8

Step-by-step explanation:

The formula of finding the volume of a cylinder v= pi*r^2*h

So substitute the values:

r is 2, and h is 5

v=pi*2^2*5

Then solve the equation:

v=pi*4*5

v=pi*20

v=62.8 (I multiplied 20 by 3.14, or pi)

So the answer is 62.8

Answer:

$2

Step-by-step explanation:

Let the cost of a donut and a cake be $d and $c respectively.

10d= 2c

Dividing both sides by 2:

5d= c -----(1)

3c +5d= 8 -----(2)

Substitute (1) into (2):

3c +c= 8

Simplify:

4c= 8

Divide both sides by 4:

c= 8 ÷4

c= 2

∴ The cost of a cake is $2.

Answer:

option A

Step-by-step explanation:

y = k . f( x )

• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.

• if 0 < k < 1 (a fraction), the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.

• if k < 0, the vertical stretch or shrink is followed by a reflection across the x-axis.

Given g(x ) = - |x |

                = -1 × f(x)

k < 0 , therefore the graph g (x) is a vertical shrink ( or compression ) of graph f

Answer:4.5y

Step-by-step explanation: you have to multiply 15 times 0.3 and u get 4.5y

Answer:

Fluffy is longer than Muffy

Step-by-step explanation:

There are 1000 millimeters in a meter

Fluffy = 2000 millimeters

Muffy = 900 millimeters

Fluffy is longer than Muffy

2000 > 900

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Fluffy is longer than Muffy

There are 1000 millimeters in a meter

There are 1000 millimeters in a meterFluffy = 2000 millimeters

There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimeters

There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy

There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy2000 > 900

Answer:

not a answer

Step-by-step explanation:

try using demos graphing calculator

Answer:

(x + 7)² + (y - 1)² = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 7, 1) and r = 1 , then

(x - (- 7) )² + (y - 1)² = 1² , that is

(x + 7)² + (y - 1)² = 1

Answer:

m ∠S = 43°

Step-by-step explanation:

Exterior angle = Sum of opposite interior angles

(6x)° = 77° + (2x + 3)°

6x = 77 + 2x + 3

6x - 2x = 77 + 3

4x = 80

x = 20

m ∠S = (2x + 3)° = 2(20) + 3 = 40 + 3 = 43°

Answer:

∠ S = 43°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ PQR is an exterior angle of the triangle, then

6x = 77 + 2x + 3 ( subtract 2x from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Then

∠ S = 2x + 3 = 2(20) + 3 = 40 + 3 = 43°

Answer:

Step-by-step explanation:

1

Answer:

-12

Step-by-step explanation:

Hi Alyssa!,

For any x we multiply it by 6 and subtract 6 from it to get the F. The function tells us this. To find f(-1) it bassicly says what's f when x is -1. Well we know that. f is 6(-1)-6 whis is -12.

F is -12

JoeLouis2

Answer:

Amber has a total of $1225.54 after 10 years. Jin has a total of $1225.35 after 10 years. So, Amber earns $0.19 more

Step-by-step explanation:

A: Amber

First, convert 8 percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year

P = Principal

e = 2.71828(mathematical constant)

t = time  

Then solve the equation for A

A = P*e^(r*t)

A = 1,000.00(2.71828)^(0.08)(10)

A = $2,225.54  

The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 8% per year compounded continuously over 10 years for Amber is $2,225.54.

J: Jin

First, convert 8 as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year

n = 365 days

Then solve the equation for A

A = P(1 + r/n)^n*t

A = 1,000.00(1 + 0.08/365)(365)(10)

A = 1,000.00(1 + 0.000219178)(3650)

A = $2,225.35

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 8% per year compounded 365 times per year over 10 years for Jin is $2,225.35.

$2,225.54-1000=A($1225.54)

$2,225.35-1000=J($1225.35)

Answer:

I think the person above explained it best. I just needed to answer a question to keep my streak going and since I know you irl, this is easy. Give that person brainliest bestie <3 they did good job

Step-by-step explanation:

Answer:

1260

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

2 x 2 x 3 x 3 x 5 x 13

= 2340

................

Answer:

346/389

Step-by-step explanation:

First determine how many were not arm tattoos

389-43

346

P( not arm) = not arm /total

                   = 346/389

Answer:

346/389

Step-by-step explanation:

Khan

Answer:

20

Step-by-step explanation:

sqrt((18-6)^2+(17-1)^2)

Inside parentheses first

sqrt((12)^2+(16)^2)

Then square inside the parentheses

sqrt(144+256)

Sqrt(400)

Taking the square root

20

[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{{(12)}^{2}+ {(16)}^{2}} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{144+ 256} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \sqrt{400} }[/tex]

[tex]\quad \quad \quad \quad\tt{ = 20}[/tex]

[tex]\quad \quad \quad \quad \huge\boxed{ \tt{ \color{green}20}}[/tex]

________

#LetsStudy

Answer:

25.9 feet

Step-by-step explanation:

If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle

Therefore we can use the pythagorean theorem to solve this problem

The two legs of the right triangle will be 23 and 12

The formula is a^2 +b^2=c^2

c^2 is the diagonal squared ( the hypotenuse)

So:

12^2+23^2=c^2

144+529=c^2

673=c^2

To find just c we need to find the square root of 673, rounded to the nearest tenth

[tex]\sqrt{673}=25.9[/tex]

(the equation is rounded)

So the diagonal is 25.9

Answer:

41%

Step-by-step explanation:

1200-850=350

350 is the markup, now we need the percentage

the orginal price was 850 so we just need to divide 350 by 850

we get 0.4117...

convert that to a percentage and we have 41% markup