A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result?

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1/2( 4^3 - 6 * 3^2)

PEMDAS says parentheses first

( 4^3 - 6 * 3^2)

Exponents

(64 - 6 * 9)

Multiply and divide from left to right

64 - 54

Add and subtract from left to right

10

Substitute back into the expression

1/2(10)

5

Answer:

20

Step-by-step explanation:

subtract 5 from 85 then divide by 4

85-5=80

80/4=20

Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)

(2) She will have to spend $1,785,393.75 to cover her patio.

Step-by-step explanation: Please refer to the picture attached.

The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;

Area = L x W

Where the length is 2135 and the width is 1115,

Area = 2135 x 1115

Area = 2380525

**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as

Area = L x W

Area = 1 x 1

Area = 1 square foot**

(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.

(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;

Cost = Area x cost per tile

Cost = 2380525 x 0.75

Cost = 1785393.75

The total cost therefore is $1,785,393.75

Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

1. Calculate the area of the patio:

  [tex]\[ \text{Area} = 2135 \times 1115 = 2380025 \text{ square feet} \][/tex]

2. Calculate the total cost of tiles:

[tex]\[ \text{Total cost} = 2380025 \text{ square feet} \times \$0.75/\text{sq ft} = \$1785018.75 \][/tex]

Therefore, Leslie needs [tex]\( 2380025 \)[/tex] square feet of tile, and it will cost her [tex]\( \$1785018.75 \)[/tex] to cover her patio.

Answer:

2,5

Step-by-step explanation:

es decimal porque es un numero impar

Answer:

2.5

Step-by-step explanation:

básicamente, dividirías 5 y 2. No hagas 2 y 5. Eso te dará un número completamente diferente y no querrás un decimal de la fracción 2/5. Quieres la mitad de 5. ¡Entonces será 2.5! Lo siento, estoy usando el traductor de Google.

Answer:

1216 is equivalent to 68 because 12 x 8 = 16 x 6 = 96.

Step-by-step explanation:

Answer:

a) The evidence suggest the true mean life of a biomedical device > 5500

b) (5487.94, +∞)

c) There is evidence to support that the mean is equal to 5500

Step-by-step explanation:

Here we have

(a) To test the hypothesis we have the claim that the mean life of biomedical devices > 5500

Therefore, we put the null Hypothesis which is the proposition that a difference does not exist. That is

H₀:  μ = 5500

Therefore, the alternative hypothesis will be

Hₐ:  μ > 5500

The test statistic is then found by;

[tex]t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}} =\frac{5617.8-5500 }{\frac{234.5 }{\sqrt{15}}} \approx 1.95[/tex]

The P value from the T table at df = n - 1 = 15 - 1 = 14 is

0.025 < P < 0.05

The P value is given as 0.036 from the T distribution at 14 derees of freedom df

Therefore, since P < α or 0.05, we reject the null hypothesis. That is we fail to reject Hₐ:  μ > 5500. The evidence suggest the true mean life of a biomedical device > 5500

(b) The 95% confidence interval is given as

[tex]CI=\bar{x}\pm t_\alpha \frac{s}{\sqrt{n}}[/tex]

Which gives    t[tex]_\alpha[/tex] =  [tex]\pm[/tex]2.145

[tex]CI=5617.8\pm 2.145 \times \frac{234.5}{\sqrt{15}}[/tex]

The confidence interval of the lower bound on the mean is then

(5487.94, +∞)

c) From the above result, we find that the mean of 5500 is contained in the range of the lower confidence on the mean. We can therefore, accept the null hypothesis. That is there is evidence to support that the mean is equal to 5500.

Answer:

24 feet

Step-by-step explanation:

According to the question, Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench

So, she needs 13 yards

converting into feet

1 yard = 3 feet

13 yards x 3 = 39 feet

Now, she already has  15 feet of fabric.

Finding out the difference : 39 - 15= 24 feet

Therefore, she needs 24 feet more of fabric

Answer:

She needs an additional 24 feet of fabric.

Step-by-step explanation:

In order to solve this problem we first need to calculate how many yards of fabric Patricia needs. This will be given by the sum of the fabric needed for the curtains and the fabric required to cover the storage bench. As seen bellow:

required fabric = 10 + 3 = 13 yards

We need to convert this value to feets, so the units are the same. To do that we multiply by 3.

required fabric = 13*3 = 39 feet

To know how many more fabric she needs we have to subtract the required fabric for the task by the total she already has. This is shown bellow:

needed fabric = 39 - 15 = 24 feet

She needs an additional 24 feet of fabric.

Answer:

2/7

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts. That way they go infinity without touching so are perfectly parallel

Answer:

The area of a circle is : π (Pi) times the Radius squared : A = π r 2 or, when you know the Diameter: A = (π /4) × D 2 or, when you know the Circumference: A = C 2 / 4 π

Answer:

B

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

[tex]1,43 m[/tex]

Step-by-step explanation:

1) Vamos reescrevê-la já que há dois termos do 1º grau e portanto, admite simplificação:

[tex]d(x)=\frac{-0,4x}{2}+1,6x+2\\d(x)=\left ( \frac{-0,4+3,2}{2} \right )x+2\\d(x)=\frac{2,8}{2}x+2\\d(x)=1,4x+2[/tex]

2) Agora, vamos fazer uma leitura mais atenta da função na qual d, indica "distância" e x

Considerando que José está em cima do muro, e jogou a boa a distância é calculada

[tex]0=1,4x+2\\x=\frac{-2}{1,4}\\x\approx -1.43\\[/tex]

Como distância é um valor absoluto, isto é não existem distâncias "negativas" então |-1,43|=1,43

3)

Answer:

The fraction of tiles that will be the color of "sand" is 23/60

Step-by-step explanation:

we know that

The sum of the fractions of the tiles must be equal to 1

Let

x ----> the fraction of tiles that will be the color of "sand"

we have that

[tex]\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1[/tex]

solve for x

Find the Least Common Multiple of denominators

[tex]LCM=(2^2)((3)(5)=60[/tex]

Multiply both sides by 60

[tex]\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60[/tex]

simplify

[tex]15+10+12+60x=60[/tex]

[tex]60x=60-37\\60x=23\\x=\frac{23}{60}[/tex]

therefore

The fraction of tiles that will be the color of "sand" is 23/60

Answer:

x =1

Step-by-step explanation:

Solve the equation:

8 - 2x = -8x + 14

Collect like terms

8 - 14 = -8x + 2x

-6 = -6x

x = -6/-6

x = 1

Answer:

x=1

Step-by-step explanation:

i did the quiz

Answer:

The hypotenuse to the nearest tenth is 8.1

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

Let a be the x leg and b be the y leg

a = 7 units

b= 4 units

7^2 + 4^2 = c^2

49+ 16 = c^2

65 = c^2

Take the square root of each side

sqrt(65) = sqrt(c^2)

8.062257748 =c

To the nearest tenth

8.1 =c

Answer:

2x+2y=310

x-y=55

multiply seond equation by 2 and adding to first equation

2x-2y=110

add

2x-2y=110

2x+2y=310 +

4x+0y=420

4x=420

divide 4

x=105

sub

x-y=55

105-y=55

minuse 105

-y=-50

mult -1

y=50

the numbers are 105 and 50

Answer:

19

Step-by-step explanation:

Solve for the value of w.

3w - 4 = 8

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

3w - 4 (+4) = 8 (+4)

3w = 8 + 4

3w = 12

Divide 3 from both sides to fully isolate the variable, w:

(3w)/3 = (12)/3

w = 12/3

w = 4

Plug in 4 for w in the first expression & solve:

5w - 1

5(4) - 1

20 - 1

19

19 is your value.

~

Answer:

19

Step-by-step explanation:

First, we need to solve for w by isolating it

3w-4=8

Add 4 to both sides

3w=12

Divide both sides by 3

w=4

Now we know w and can plug 4 in for w and solve

5w-1

5(4)-1

20-1

19

Answer:

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex] per minute.

Step-by-step explanation:

Given a cone of radius r and perpendicular height h

Volume of the cone, [tex]V=\frac{1}{3}\pi r^2 h[/tex]

Since the height of the cone is fixed, the rate of change of the volume of the Cone, [tex]\frac{dV}{dt}[/tex] is given as:

[tex]V=\frac{1}{3}\pi r^2 h \\\frac{dV}{dt}=\frac{h\pi}{3} \frac{d}{dt} r^2\\\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}[/tex]

We are to determine the rate of change of the Volume, V when:

The radius is decreasing at a rate of 2 cm per minute,  [tex]\frac{dr}{dt} = -2 cm/min[/tex]

Height, h=9 cm

Radius = 13cm

[tex]\frac{dV}{dt}=\frac{2rh\pi}{3} \frac{dr}{dt}\\=\frac{2*13*9\pi}{3}* ( -2)\\\frac{dV}{dt}=-156\pi \:cm^3/min[/tex]

The Volume is decreasing at a rate of [tex]156\pi[/tex] [tex]cm^3[/tex]  per minute.

Answer:

28.4 miles less

Step-by-step explanation:

1. Find the length of the third side of the triangle with the pythagoream theroum

2. Pythagorean theroum= a^2+b^2=c^2

3. 45^2+ 55^2=c^2

4. 2025+3025=c^2

5. 5050=c^2

6. 71.06=c

7. Instead of driving 100 miles to work, Evelyn will now drive only 71.06 miles to work

7. That is 28.4 miles less than before

Answer:30 miles you save 30 miles

Step-by-step explanation: if you go around its 48+55=103 miles

Do formula a^2+ b^2= c^2

48^2+ 55^2=c^2

2304+3025= c^2

5329=c ^2

Sq rt of 5329 is 73

103-73=30

Answer:

Step-by-step explanation:

45 gallons but your questtion doesnt make sense because you dont give us the number in gallons per minute

Answer:

840

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

My answer:

In the menu, there are 6 main ingredients and we take 2 at the same time, so the possible outcomes is:

[tex]C^{6} _{2}[/tex] = [tex]\frac{6!}{(6-2)!*2!}[/tex] = 15

In the menu, there are 8 toppings and we take 3 at the same time, so the possible outcomes is:

[tex]C^{8} _{3}[/tex] = [tex]\frac{8!}{(8-3)!*3!}[/tex] = 56

=> the total  number of combinations :

=[tex]C^{6} _{2}[/tex]*[tex]C^{8} _{3}[/tex]

=15 * 56 = 840

Answer:

32.5 miles on the 7th day

Step-by-step explanation:

1, 1.5, 2.5, 4.5

We need to determine the pattern

We are adding .5 + 1/4(2^n)

Lets check

n=1  .5+ 1/4(2) = .5+ .5 =1

n =2   .5 + 1/4*2^2 = .5 +1 = 1.5

n=3  .5 + 1/4 ( 2^3) = .5 + 8/4 = 2.5

n=4   .5 + 1/4 (2^4) = .5 + 16/4 = 4.5

n = 5  .5 + 1/4 (2^5) = .5 +32/4 = 8.5

n = 6   .5 + 1/4 (2^6) = .5 + 64/4 =16.5

n=7   .5 + 1/4(2^7)= .5 + 1/4(128) = 32.5

They bike 32.5 miles

Answer: 30

Step-by-step explanation:

The Chancellor can use a multi-stage sampling method to gather citizen opinions by dividing the galaxy into various regions, selecting a sample of these regions, and then selecting a sample of planets within these regions for surveying citizens.

The Chancellor could use a multi-stage sampling method to effectively gather data from the galaxy's population. This method involves breaking down the larger population into smaller, manageable subsets in a sequence of levels or 'stages'. Here's an example of how it could work:

This method will make the task feasible and manageable, given the constraint of resources. It also ensures that a diverse range of opinions can be captured from all over the galaxy.

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Answer:

40%

Step-by-step explanation:

multiply 80 by.40 you will get 32 hope this helps god bless

Answer:

⅖

Step-by-step explanation:

4/15 ÷ 2/3

4/15 × 3/2

2/5

Answer: 2/5 or 0.4

Step-by-step explanation: When dividing a fraction by another fraction you will always find the reciprocal of the second fraction and then multiply to get your answer.

4/15 divided by 2/3

4/15 multiplied by 3/2

0.4 or 4/10 or 2/5 is the value of 4/15 divided by 2/3

9514 1404 393

Answer:

  square pyramid

Step-by-step explanation:

The description fits that of a square pyramid.

Answer:

-3

Step-by-step explanation:

10 - -2 = 12

1 - 5 = -4

12 / -4 = -3

Answer:

m = -3

Step-by-step explanation:

slope formula [tex]\frac{10-(-2)}{1-5} = -\frac{12}{4}[/tex] = -3

Answer:

What is the average temperature in degrees Celcius of Alaska in the winter?

The integer -5 can represent a loss or debt of 5 in real-world situations like owing someone 5 dollars, or a temperature drop 5 degrees below zero. Another example could be temperature. If the temperature drops 5 degrees below zero, it can be represented as -5 degrees.

In Mathematics, an integer can represent various scenarios. The integer -5 could symbiotically stand for a loss or debt of 5 in real-world situations. For example, if you owe someone 5 dollars, your net balance would be -5 dollars. Another example could be temperature. If the temperature drops 5 degrees below zero, it can be represented as -5 degrees.

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Answer:

43.96

Step-by-step explanation:

you get pi which is 3.14 times 7 and then times 2

Answer:

43.98 inches

Step-by-step explanation:

The circumference of a circle can be found using:

[tex]c=2r\pi[/tex]

We know r, or the radius is 7, so we can substitute that in

[tex]c=2*7(\pi )[/tex]

[tex]c=14\pi[/tex]

c=43.9822972

or, about

43.98 inches

Answer:

-7

Step-by-step explanation:

In y = mx + c,

m is the slope

m is the coefficient of x

in y = -7x,

m = -7