Scientists were interested in testing a new technique to prevent slipping on ice: wearing socks over boots!
500
500500 volunteers were randomly assigned to two groups. Both groups were asked to walk downhill on an icy road. One group simply wore boots, while the other group wore socks over their boots. All boots and socks were supplied by the scientists.
Once downhill, the participants were asked to indicate the number of times they slipped. Then, the scientists compared the average "slipperiness" score of each group.
What type of statistical study did the scientists use?

Answer:

[tex]\frac{5}{143}[/tex] chance

Step-by-step explanation:

Chance of getting yellow first time: [tex]\frac{2}{13}[/tex]

Chance of getting green without replacement from yellow: [tex]\frac{5}{12}[/tex]

Chance of getting red without any replacement: [tex]\frac{6}{11}[/tex]

[tex]\frac{2}{13} *\frac{5}{12} *\frac{6}{11} =\frac{60}{1716} =\frac{10}{286} =\frac{5}{143}[/tex]

Answer:

At the end of the second day, the value of the share is $23.76

Step-by-step explanation:

Maddie bought $22 worth of share

20% increase of $22 share in the first day

= 20/100 × 22

= $4.40

The total value at the end of the $22 + $4.40

= $26.40

On the second day, 10% decrease of $26.40 is

= 10/100 × $26.4

= $2.64

At the end of the second date, the value of the share is $26.40 - $2.64

= $23.76

Answer: The probability is 0.036

Step-by-step explanation:

We have a total of 10 sports drinks.

4 lemon-lime

3 orange

3 fruit-punch.

in the first draw, we pick a lemon-lime drink.

The probability of this is equal to the number of lemon-lime drinks divided by the total number of drinks: p1 = 4/10.

Then we return it and we mix the drinks.

In the second time, we draw a fruit-punch one, so now the probability is:

p2 = 3/10

We return the drink.

For the third time we again pick a fruit-punch.

Again, we have p3 = 3/10.

Now for the joint probability of the 3 events we must multiplcate the individual probabilities, this is:

P = p1*p2*p3 = (4/10)*(3/10)*(3/10) = 36/100 = 0.036

Answer:

(っ◔◡◔)っ ♥ Thanks for the 9 points! ♥

Step-by-step explanation:

Answer:

15 7/12

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

you go to the right 4 times then up 7

Answer:

$8.10

Step-by-step explanation:

You can just multiply how many yards she bought by the price per yard.

3×2.7=

$8.10

She spent 8 dollars and 10 cents.

Answer:

The fill-in-the-blank is 7.

Step-by-step explanation:

By factoring out the greatest common factor, 7, you will get 7(x + 3).

7(x + 3) = 7x + 21

Answer:

7

Step-by-step explanation:

Answer:

work is shown and pictured

Answer:

36 cm

Step-by-step explanation:

[tex]V= \frac{4}{3} \pi r^{3}[/tex]

[tex]3V= 4\pi r^{3}[/tex]

[tex]r^{3}=\frac{3V}{4\pi }[/tex]

[tex]r= 3\sqrt{\frac{3V}{4\pi } }[/tex]

[tex]r=3\sqrt{\frac{3* 24429 cm^{3} }{4\pi } }[/tex]

r=18 cm

diameter= d= 2r

d= 2(18cm)= 36 cm

Answer: 60 cm²

Step-by-step explanation:

This is pretty simple, we know AB is 12 cm and DE is 4 cm. We know ABC has a total of 180 square centimeters. So...

12 ÷ 3 = 4

180 ÷ 3 = 60

The answer is 60 cm²

I hope this helps!

Answer: The area of the photo that fits the frame is 192 square inches.

Step-by-step explanation:

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

Area of a rectangle (A) = Length x width

Replacing with the values given and solving for A (area):

A = 16 x 12 = 192 in2

The area of the photo that fits the frame is 192 square inches.

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

Answer:

192

Step-by-step explanation:

All four angles sum to 360 so the remaining two add to 360-180-20=160.  

7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.

Answer: 70 degrees and 90 degrees

Answer:

7+9=16, 160/16=10, so we scale our ratio by 10, getting 70:90.

Answer: 70 degrees and 90 degrees

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The y-intercept is represented by the variable b in this equation.

Answer:

67

Step-by-step explanation:

Multi-Inscribed Quadrilateral: 15

Bananas: 4

Clock: 3

Therefore, we can substitute for the last equation the values, so it would become:

3 + 4 + 4 x 15 = ?

First, we solve the multiplication according to PEMDAS.

4 x 15 = 60

Then, we can add from left to right.

3 + 4 + 60 = ?

3 + 4  = 7

7 + 60 = 67

Therefore, our answer would be 67.

Answer:

[tex]15 + 15 + 15 = 45 \\ 4 + 4 + 15 \: \: \: \: = 23 \\ 4 + 3 + 3 = 10 \\ 3 + 4 + 4 \times 11 = 51[/tex](according to BODMAS)

Step-by-step explanation:

First divide 45 by three

[tex]45 \div 3 = 15[/tex]

then subtract 15 from 23 and divide that answer by 2

[tex]23 - 15 = 8 \\ 8 \div 2 = 4[/tex]

Now subtract 4 from 10 and then divide that answer by 2

[tex]10 - 4 = 6 \\ 6 \div 2 = 3[/tex]

Now add 3+4+4*11 you will get the answer for ?

[tex]3 + 4 + 4 \times 11[/tex]

3 + 4 + 44

7 + 44

= 51

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

45

Answer:

24+24+120+160+200

Step-by-step explanation:

I did it and i got it correct !!!!

Answer:

A linear graph with points (6/7, -3/7)

Step-by-step explanation:

Look at the two equations.

We find the value of X and Y because the graph must satisfy these points. See attachment for explanations.

Answer:

A

Step-by-step explanation:

Answer:

r = -9

Step-by-step explanation:

First we want to ge the rs in the same place:

[tex]3r-7r=6+30[/tex]

[tex]-4r = 36[/tex]

[tex]r=-9[/tex]

Answer:

r= -9

Step-by-step explanation:

[tex]3r-30=6+7r\\Collect like terms\\3r-7r= 6+30\\-4r = 36\\Divide both sides by -4\\r = -9[/tex]

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

Subtract the $60 out of the total first

250 - 60 = 190

Divide this value by pay per sale:

190 / 4.50 = 42.2222

Thus, they must make 43 sales in order to meet the goal

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

21.7 ft

Step-by-step explanation:

You first find the circumference of the entire circle (diameter of 5). The formula is pi times diameter. You should get 15.7 ft. Then you just add 6 because of the line on the top. Your answer should be 21.7 ft. Hope this helped!

Answer:

The three buildings can look like following:

1. The building can look like a cube, with each side and height equal to 2.62 cm.

2. The building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.

3. The building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.

Step-by-step explanation:

The three possibilities of the appearance or shape of the building, with the volume equal to 18 cm³ are as follows:

1. CUBIC SHAPE:

The building can look like a cube with the length of each side and height given as:

Volume of Cube = 18 cm³ = L³

L = ∛18 cm³ = 2.62 cm

Thus, the building can look like a cube, with each side and height equal to 2.62 cm.

2. CUBOID SHAPE:

The building can also look like cuboid with the following dimensions.

Length = 3 cm

Breadth = 1 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Cuboid = Length * Breadth * Height

Volume of Cuboid = 3 cm * 1 cm * 6 cm = 18 cm³

Thus, the building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.

3. PYRAMID SHAPE:

The building can also look like pyramid with the following dimensions.

Length = 3 cm

Breadth = 3 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Pyramid = (Length * Breadth * Height)/3

Volume of Cuboid = (3 cm * 3 cm * 6 cm)/3 = 18 cm³

Thus, the building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.

Answer:

c

Step-by-step explanation:

The expression for the radius of the cylinder is r = 2x units

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the value of V is

V = 4πx³ units

where the height of the cylinder is h = x units

So , the Volume of Cylinder = πr²h

On simplifying , we get

4πx³ = πr²h

Substituting for h , we get

4πx³ = πr² ( x )

Divide by πx on both sides , we get

r² = 4x²

Taking square roots on both sides , we get

r = 2x units

Therefore , the value of r is 2x units

Hence , the radius of the cylinder is 2x units

To learn more about cylinder click :

https://brainly.com/question/16134180

#SPJ7

Answer:

Base, B is 6cm.

Step-by-step explanation:

Pythagoras theorem states that, in a right-angled triangle (ABC) , the square of the hypotenuse (C) is equal to the sum of squares of the other two sides (AB).

Mathematically, it is given by the equation;

Adjacent² + Base² = Hypotenuse²

A² + B² = C²

Given from the question, C = 8cm, A = 5cm and B = x (unknown)

Substituting the parameters into the equation we have;

5² + x² = 8²

25 + x² = 64

x² = 64 - 25

x² = 39

Taking the square root of both sides, we have;

x = 6.25cm

To the nearest whole number x equals 6cm.

Hence, B = 6cm

Answer:

The area of the unpainted region on the four inch board = 160·√3 in.²

Step-by-step explanation:

Here we have that the boards are crossing each other on their flat sides Therefore, when the boards are separated, the area of the unpainted region is the area of a parallelogram

The dimensions of the formed parallelogram are;

Interior angles = 60° and 120° (adjacent angles of a parallelogram)

Height, h of parallelogram formed = 4 inches

From the angle of crossing of the parallelogram, we have;

Angle between the width or perpendicular cross section of the 6 inches board and the angle of crossing of the two boards = 90° - 60° = 30°

Therefore, length of base, b of the parallelogram formed by the unpainted region is given as follows;

[tex]b = \frac{60}{cos(30)} = 40\cdot \sqrt{3} \ inches[/tex]

Therefore, the area of the parallelogram = b × h = 4 × 40·√3 = 160·√3 in.²

Hence, the area of the unpainted region on the four inch board = 160·√3 in.².

Answer:

sure it's 3 2/3

Step-by-step explanation:

the yards are 50 inches so it is going to be

Answer:

Statistical

Step-by-step explanation:

You need to collect data to determine the answer of that.

Answer:

Yes

Step-by-step explanation:

"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.

I wasn't really sure how to explain it but I hope it makes sense! :)

Answer:

x=15

Step-by-step explanation:

The pattern of numbers can be re-written in the form below:

[tex]\left\begin{array}{ccccccccccccc}&&&&&&1&&&\\&&&&&1& &1&&&\\&&&&1& &2 &&1\\&&&1 &&3 &&3 &&1\\ &&1 &&4 &&6&& 4&& 1\\ &1 &&5&&10&&10&&5&&1\\ 1 &&6 &&x &&20&& x &&6 &&1\end{array}\right \\[/tex]

The triangular array which involves summing adjacent elements in preceding rows is referred to as the Paschal's Triangle.

Taking the 6th and seventh row, the adjacent elements in the 6th row are summed on the Left Hand sides and the result from the seventh row is given on the right hand sides of the equations below.

We can then see that:

5+10=x; and

10+5=x

10+5=5+10=15

Therefore:

x=15

Answer:

hehe

Step-by-step explanation: