20 points
Data from a certain village hospital show that the number of frostbite cases is positively correlated with the number of sledding accidents. Which of the following factors would
best explain why this correlation does not necessarily imply that frostbite is the main cause of sledding accidents?
People with frostbite tend to have more difficulty controlling sleds.
the frostbite cases and sledding accidents were not randomly selected.
The hospital treats more sledding accidents than cases of frostbite.
It is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.

Answer:

the answer to this question is 1.08

Using compound interest, it is found that you would have $1524.86.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem, we have that the values of the parameters are given by: P = 1250, r = 0.05, n = 4, t = 4. Hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(4) = 1250\left(1 + \frac{0.05}{4}\right)^{4 \times 4} = 1524.86[/tex]

Tou would have $1524.86.

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Answer:

given ,

[tex]\fbox{a:b = 2:3}[/tex]

According to Question ,

we've to write b as a fraction of a.

thus , we know that

[tex]a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} } [/tex]

now to represent b as a fraction of a ,

we'll have to consider the ratio as b : a

which means ,

[tex]b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }[/tex]

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hope helpful :D

Answer:

b = [tex]\frac{3}{2}[/tex] a

Step-by-step explanation:

express the ratios in fractional form

[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2b = 3a ( divide both sides by 2 )

b = [tex]\frac{3}{2}[/tex] a

Answer:

x = -14 I hope this helps :)

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}[/tex]

The probability of getting exactly 4 heads is 0.23.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Let p represents the probability of getting head in a toss of a fair coin, so

[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]

Let X denote the random variable representing the number of heads in 6 tosses of a coin.

The probability of getting r sixes in n tosses of a fair is given by,

Probability of getting 4 heads :

[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]

Hence, the probability of getting exactly 4 heads is 0.23.

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Answer:

113°

Step-by-step explanation:

because supplementary angles add up to 180°

thus if a is 67° then we subtract 67° from 180° and b will be 113°

Answer:

[tex]y = \frac{1}{8}x -7[/tex]

Step-by-step explanation:

Find the slope using (8, -6) and (-8, -8):

[tex]m=\frac{-8-(-6)}{-8-8} \\\\m=\frac{-8+6}{-8-8} \\\\m=\frac{-2}{-16}\\\\m=\frac{2}{16}\\\\m=\frac{1}{8}[/tex]

[tex]y=mx + b\\\\y = \frac{1}{8}x + b[/tex]

Now, we use either of our points (8, -6) OR (-8, -8) to find b.

I will be using (8, -6):

[tex]y = \frac{1}{8}x + b\\\\-6=\frac{1}{8}(8) + b\\\\-6=1+b\\\\-1 \ \ -1\\\\-7=b[/tex]

[tex]y = \frac{1}{8}x + b== > y = \frac{1}{8}x -7[/tex]

Check your answer manually: (-8, -8)

[tex]y = \frac{1}{8}x -7\\\\-8 = \frac{1}{8}(-8) -7\\\\-8=-1-7\\\\-8=-8[/tex]

This statement is correct.

*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*

Hope this helps!

Answer:

126

Step-by-step explanation:

the number of cargo cars is represented by the 35 part of the ratio , then

105 ÷ 35 = 3 ← value of 1 part of the ratio , then

passenger cars = 7 × 3 = 21

total cars = 105 + 21 = 126

Answer:

Total floor: 150 sq ft = $450

Wall and Ceiling: 550 sq ft = $60

Total cost $510

Step-by-step explanation:

Floor: 15 sq ft * 10 sq ft (L * W) = 150 sq ft

150 sq ft * $3 = $450

Walls: 2(H * L) = 2(8*15) = 240 sq ft

2(H * W) = 2(8*10) = 160

Total walls sq ft = 400 sq ft

Ceiling is same as floor = 150 sq ft

Total sq ft painted = 550 sq ft

550 sq ft / 275 sq ft (covered per paint) = 2 paints = $60

$450 floor + $60 paint = $ 510

Answer:

$510

Step-by-step explanation:

The floor of the room measures 15 ft in length and 10 ft in width.

The area of the floor is length × width = 15 ft × 10 ft = 150 ft².

The hardwood costs $3/ft².

The cost of the hardwood is: $3/ft² × 150 ft² = $450

The area of the walls is the lateral surface area of the rectangular prism.

The lateral surface area of the rectangular prism is the perimeter of the base times the height.

perimeter of the base = 15 ft + 15 ft + 10 ft + 10 ft = 50 ft

height = 8 ft

lateral area = total area of the walls = perimeter × height = 50 ft × 8 ft = 400 ft²

The paint costs $30/(275 ft²).

She needs to paint 400 ft².

400 ft² / 275 ft² = 1.45

She needs 1.45 containers of paint, but she must buy full containers of paint, so she must buy 2 containers since 1 container is not enough.

Cost of paint: 2 × $30 = 60

Total cost of hardwood and paint = $450 + $60 = $510

Answer:

114

Step-by-step explanation:

You first have to do L x W x H

which will be 9.5 x 4 x 3

that gives you 114

which is the answer 114!!

Answer:

I think its 3,4 maybe

Step-by-step explanation:

try it out but I'm not sure

Answer: The bottom three: [tex]\frac{48}{-17}[/tex], [tex]\frac{-48}{17}[/tex], and -2 [tex]\frac{14}{17}[/tex]

Step-by-step explanation:

     The first option is not because the numerator and denominator are flipped.

     The second option is not because this one is positive while the one given is negative.

     The third option is equivalent.

     The fourth option is equivalent.

     The fifth option is equivalent because - 48 / 17 = -2 [tex]\frac{14}{17}[/tex] when turned into a mixed number.

Answer:

[tex]\frac{48}{-17}, \frac{-48}{17}, -2\frac{14}{17}[/tex] (the last 3 options)

Step-by-step explanation:
As long as the negative is in either the numerator or the denominator (if it is in both then it is positive because the negatives cancel out), the entire fraction will be negative, so both [tex]\frac{48}{-17}[/tex] and [tex]\frac{-48}{17}[/tex] work as answers. The last option is just a simplified version of the fraction.

Answer:

348

Step-by-step explanation:

hope this helps

Answer:

c

Step-by-step explanation:

Answer:

7 pigs, 16 chickens

Step-by-step explanation:

p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23

System of Equations:

Then, use substitution & solve:

Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c

Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]

------

(I hope that helps & good luck! <3)

Answer:

6

Step-by-step explanation:

Answer:1017.36[tex]ml^{2}[/tex]

Step-by-step explanation:

Diameter= 36ml

radius=diameter/2

R=36 ÷2

R=18ml

Area=π[tex]r^{2}[/tex]

Area=3.14 x [tex]18^{2}[/tex]

Area=1017.36[tex]ml^{2}[/tex]

Answer:

Step-by-step explanation:

Hello!

R = D/2

R= 13,8/2 => 6,9cm

The length of the circle's radius is 6.9 cm.

The diameter of a circle is twice the length of its radius. So, to find the length of its radius (r), you can divide the diameter (d) by 2.

Given: Diameter (d) = 13.8 cm

Length of radius (r) = d / 2

r = 13.8 cm / 2

r = 6.9 cm

The length of the circle's radius is 6.9 cm.

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Answer:

B is the correct answer

Step-by-step explanation:

42/7 = 6

60/6 =10

https://www.perfection-events.com/content/back-basics-coffee-essentials

Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.

The area of the city block is calculated from the product of the dimensions provided:

The city block is in form of a square, hence it's area = side × side

Dimension of city block = 300 feet by 300 feet.

Area of city block = 90000 square feet

Half of area of city block = 45000 square feet

1 gallon covers 13.8 square feet

400 gallons will cover = 400 × 13.8 = 5520 square feet

The area 400 gallons of coffee will cover is less than 45000 square feet.

Therefore, the news caster's claim is wrong.

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Answer:

if point bearing of k-l is 084 degree so the bearing of point l-k is 84 degree

The bearing of a point L from a point K is 264 degrees.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The bearing of a point K from a point L is 084 degrees.

Now,

Since, The bearing of a point K from a point L is 084 degrees.

Hence, The bearing of a point L from a point K = 180° + 84°

                                                                         = 264°

Thus, The bearing of a point L from a point K is 264 degrees.

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noooooooooooooooooooolo

Answer:

[D] a/b < d

Step-by-step explanation:

a = -1.25

b = 1

c = 0.5

d = 1.25

Now Solve the statement:

a/d > c

substitute

-1.25/1.25  which is -1

-1 > 0.5

Thus, this is false

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

c < ab

substitute

0.5 < (-1.25)(1)

0.5 < -1.25

Thus, this is false.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a > bc

-1.25 > (1)(0.5)

Hence,

-1.25 > 0.5

Thus, this is false

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a/b < d

-1.25/1 < 1.25

-1.25 < 1.25

Thus, this is true

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hence, Answer is [D] a/b < d

[RevyBreeze]

Answer:

1770

Step-by-step explanation:

multiply the mass value by 1000

that is the easy way

By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.

For a rectangle of length L and width W, the area is:

A = L*W

And the perimeter is:

P = 2*(L + W).

In this case, we know that the length is 5ft longer than the width, so we can write:

L = W + 5ft

We also know that the perimeter is 50ft, so we can write:

P = 50ft = 2*(W + 5ft + W)

     50ft = 4*W + 10ft

     40ft/4 = W = 10ft

So the width is 10 ft, and then the length will be:

L = 10ft + 5ft = 15ft

So the area of the rectangle is:

A = 10ft*15ft = 150 ft^2

She will need 150 ft^2 of flooring.

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Answer:

100.32

Step-by-step explanation:

Since the question is asking to INCREASE, you want to multiply 88 by 1.14

This is because a percent is a number multiplied by 100 (For example 0.1 is 10%)

Whenever you want to increase by a percent, you add 100% to the number.

So:

88 * 1.14 =

100.32

Answer:

x = 15

It is a Pythagorean triple.

Step-by-step explanation:

1.

a² + b² = c²

9² + 12² = x²

81 + 144 = x²

x² = 225

x = 15

The three numbers, 9, 12, 15 do form a Pythagorean triple since they are integers.