6th grade math help me plzzzz

Answer:

Fouls > Average Fouls

Step-by-step explanation:

Null Hypothesis [ H0 ] : Fouls = Average Fouls ie 11.5

Alternate Hypothesis [ H1 ] : Fouls > Average Fouls

t =  ( x - u ) / ( s / √n )

where x = actual observed mean = 12.2 here , u = assumed population mean = 11.5 , s = sample standard deviation = 1.6 , n = sample size = 34

So, t = (12.2 - 11.5 ) / ( 1.6 / √34 ) = 0.7 /  ( 1.6 / 5.83 ) = 0.7 / 0.275 = 2.55

t tabulated value for α = 5% right tailed = 1.645 , ie < calculated value 2.55 So , we reject the null hypothesis, & conclude that 'Fouls > Average Fouls'

The definite integral is (7a^(10/3) - 6a^(9/3)) / 42.

To evaluate the definite integral:

∫₀^(a²) a^(1/3) x^5 (a^2 - x^6) dx

First, we can simplify the integrand by distributing the a^(1/3) term:

∫₀^(a²) a^(4/3) x^5 - a^(1/3) x^6 dx

Then, we can integrate each term using the power rule:

= [a^(4/3) * (1/6) x^6 - a^(1/3) * (1/7) x^7] from 0 to a²

Plugging in the limits of integration, we get:

= [a^(4/3) * (1/6) (a²)^6 - a^(1/3) * (1/7) (a²)^7] - [a^(4/3) * (1/6) (0)^6 - a^(1/3) * (1/7) (0)^7]

Simplifying, we get:

= (a^(10/3) / 6 - a^(9/3) / 7) - 0

= (7a^(10/3) - 6a^(9/3)) / 42

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To find the differential of f(x,y) at the point (1,3), we need to compute its partial derivatives with respect to x and y at that point, and then combine them with the differentials of x and y using the formula:

df = (∂f/∂x) dx + (∂f/∂y) dy

where df is the differential of f, dx and dy are small changes in x and y, and (∂f/∂x) and (∂f/∂y) are the partial derivatives of f with respect to x and y, respectively.

∂f/∂x = \((1/2) (x^2 + y^3)^(-1/2) * 2x = x / \sqrt{ (x^2 + y^3)}\)

∂f/∂y = \((1/2) (x^2 + y^3)^{-1/2} * 3y^2 = (3y^2) / (2 \sqrt{(x^2 + y^3))\)

Now, we can plug in the values x = 1, y = 3 to get the partial derivatives at the point (1,3):

∂f/∂x (1,3) = 1/10

∂f/∂y (1,3) = \((27/10)\sqrt{10}\)

we have df = (∂f/∂x) dx + (∂f/∂y) dy = \((1/10) dx + (27/10)\sqrt{10}dy\)

Note that we didn't specify the values of dx and dy, as they represent small changes in x and y around the point (1,3). The differential df represents the corresponding small change in f around that point.

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Answer:117

Step-by-step explanation:

I’m good at math

Answer:

117 Roses

Step-by-step explanation:

234 *0.5 = 117

Answer:

subtract add

Step-by-step explanation:

Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.

r = 1 − cosθsin3θ

Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.

The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.

The figure attached shows the bounded region of the two graphs. The red curve is  r=4cos⁡(θ) and the blue curve is r=2.

The points of intersection of the two curves are

θ = π/3 and 5π/3

The area is calculated as follows:

Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.

A = 2 \(\(\int_{0}^{\pi /3}\) ½ (4 cos (θ)² − ½ (2)² dθ

  =  \(\(\int_{0}^{\pi /3}\) 16 cos2 (θ) − 4dθ

  = \(\(\int_{0}^{\pi /3}\) 8 (1+cos(2θ)) − 4dθ

  =\(\(\int_{0}^{\pi /3}\) 4 + 8 cos (2θ) dθ

  = [4θ + 4sin (2θ)] \(\(\int_{0}^{\pi /3}\)

  = 4π/3 + 2√3

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To get the unit price, divide the price for 50.5 ounces of lemonade by those 50.5 ounces, as following:

This way, we can conclude that each ounce costs $0.40

We are given that an egg weighs 2.5 ounces and that there are 16 ounces in a pound. We also know that the rice apparatus is directly proportional to the egg apparatus. The rice apparatus needs to be the same weight and size as the egg apparatus.

To find out how much bigger the rice apparatus needs to be, we need to determine the weight of the rice apparatus. First, we calculate the weight of the bag of rice by multiplying the weight of a pound (16 ounces) by the number of pounds (65 pounds). This gives us 1040 ounces (16 * 65).

Next, we need to determine the ratio between the egg apparatus and the rice apparatus. Since they are directly proportional, we can set up a proportion using their weights:

(egg weight) / (rice weight) = (egg size) / (rice size)

Substituting the values we have, we get:

2.5 / (rice weight) = 2.5 / (1040)

Now, we can solve for the weight of the rice apparatus:

(rice weight) = (2.5 * 1040) / 2.5

Simplifying, we find:

(rice weight) = 1040

Therefore, the weight of the rice apparatus needs to be the same as the weight of the bag of rice, which is 1040 ounces.

In terms of size, since the weight of the rice apparatus is directly proportional to the egg apparatus, we can conclude that the rice apparatus needs to be the same size as the egg apparatus.

In summary, the rice apparatus needs to be the same weight and size as the egg apparatus.

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log 0.333 =0.4771

To find the common logarithm, or base-10 logarithm, of 0.333, we can use a calculator.

Here's how to do it:

Step 1: Enter "0.333" into the calculator.

Step 2: Press the "log" button. This will give you the base-10 logarithm of 0.333.

Step 3: Round the answer to four decimal places.

The final answer, rounded to four decimal places, is: log 0.333=0.4771

Therefore, log 0.333 =0.4771

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The equilibrium price is $100.

The equilibrium quantity sold is approximately 2.222.

To find the equilibrium price and quantity sold in this market, we need to equate the supply and demand equations:

90D = 300 - p   (Equation 1)

40S = 100 + p   (Equation 2)

To solve for the equilibrium price, we set the quantity demanded (D) equal to the quantity supplied (S):

300 - p = 100 + p

Combine like terms:

2p = 200

p = 100

So the equilibrium price is $100.

To find the equilibrium quantity, we substitute the equilibrium price into either the supply or demand equation. Let's use Equation 1:

90D = 300 - 100

90D = 200

D = 200/90

D ≈ 2.222

So the equilibrium quantity sold is approximately 2.222.

The direction of the shift (inward or outward) would depend on how Nike's increased fashion ability affects the market.

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Supply is given by the equation 90 D=300−p. 40 S=100+p. these equations  describe the "original" situation. When a curve shift, we label the new equation with a 1 and then with a 2 for another shift ). What are the equilibrium price and quantity sold in this market? P0  = 5 and co ∘ = Now say that Nikes become more fashionable. Does thin shift our supply or demand curve? inward or outward? If our supply curve moves outward, then add 100 to 90 S to got inward, then subtract 100 from 40 D to get Q1 *D and qi  = If supply does not shift, then we may calculate elasticity along the curve between (ρ0 ∘,90 ∘ ) and ( p1 ∘, q1") If demand does not shift, then the elasticity is taken along this curve between the same two points is the curve in question elasticity , unitary, or inelastic between these two points?

Answer:

Step-by-step explanation:

The sum of first five or twelve term in the A.P given the value 60.

The term AP refers a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value.

Here we have given that  A. P. 16,14,12,.

And we need to find the number of term to get the value of 60.

While we looking into the given question we have identified that the  common difference d of the A.P. is − 2

Here we also know that the terms of the A.P. are in descending order.

Now, we have to take n = 5  then then first 5 terms are 16,14,12,10,8.

Here we have identified that the sum is 60.

Similarly, here by taking n = 12 , then the last 7 terms ( 12 − 5 ) (12-5) are 6 , 4 , 2 , 0 , − 2 , − 4 , − 5 6,4,2,0,-2,-4,-5

Here we have identified that the sum of these seven terms is 0.

Therefore, sum of first 12 terms is also 60.

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Answer:

40 minuetes

Step-by-step explanation:

can I get brainlyest

It will take 40 minutes to walk 500 yards if a person can walk 50 yards in 4 minutes

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given,

To walk 50 yards it takes 4 minutes.

Using unitary method,

If 50 yards  takes 4 minutes,

Then 1 yard will take 4/50 minutes..........................(on dividing 50 both sides)

To calculate time taken to walk 500 yards.

Multiply above expression by 500 both sides

1yard x 500------> 4/50 x 500 minutes.

500 yards------>40 minutes.

So,  it will take 40 minutes to walk 500 yards.

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To plate 1 mL of a sample that has been diluted in 0.00000001 mL of diluent, or a dilution factor of 10^8.

To determine what sample volume should yield a countable plate, we need to calculate the appropriate dilution factor.

The sample has a density of 7.9 x 10^9 CFU/mL, and we want to plate 1 mL of a 10^-8 original dilution, which means we need to dilute the sample by a factor of 10^8 to obtain a countable plate.

We can calculate the required dilution factor using the following formula:

Dilution factor = (Volume of sample plated) / (Total volume of diluted sample)

To dilute the sample by a factor of 10^8, we can calculate the total volume of diluted sample as follows:

Total volume of diluted sample = (Volume of sample plated) x (Dilution factor)

Substituting the values, we get:

10^8 = 1 mL / (Total volume of diluted sample)

Total volume of diluted sample = 1 mL / 10^8

Total volume of diluted sample = 0.00000001 mL

Therefore, to obtain a countable plate, we need to plate 1 mL of a sample that has been diluted in 0.00000001 mL of diluent, or a dilution factor of 10^8.

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The height, x, in feet of the building is 46.86 feet.

It is a question of heights and distances.

It is given in the question that:-

Distance of Ricardo from the base of the building = 75 feet

Angle of elevation from the ground to the top of the building = 32 degrees

We have to find the height, h , in feet of the building.

We know that,

Base = 75 feet

Height = Perpendicular = x

and,

Perpendicular/Base = tanα

Where, α is the angle of elevation

Hence, we can write,

x/75 = tan(32°) ≈ 0.625

x  ≈ 0.625*75  ≈ 46.86 feet

Hence, the height of the building is approximately 46.86 feet.

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The numbers are 666666 X 4443332221119111. The number solved multiplication is \(2.962218518 \times10^{21}\).

Given that,

The numbers are 666666 X 4443332221119111

We have to solve the number multiplication.

Multiplication means the fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.

666666 X 4443332221119111

\(2.962218518 \times10^{21}\)

Therefore, the number solved multiplication is \(2.962218518 \times10^{21}\).

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Scale factor is the ratio of representation measurement of the figure to the original figures.

The distance between the library and the post office on the map is 0.72 inches. Thus the option A is the correct option,

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Given information-

The distance between two parks on a city map is 1.8 inches.

The actual distance between the parks is 2 miles or 126720 inches.

The distance from the library to the post office is 0.8 mile or 50688 inches for the same city.

The scale factor of the distance of two parks on a city on the map and the actual distance between them is,

\(r=\dfrac{1.8}{126720}\\r=\dfrac{1}{70400}\)

Thus scale factor of the distance of two parks on a city on the map and the actual distance between them is 1/70400.

As the city is same for both the conditions. Thus, scale factor of the distance of library to the post office on a city on the map and the actual distance between them is also 1/70400.

Let suppose the the distance between the library and the post office on the map is x inches

\(\dfrac{1}{70400}=\dfrac{x}{50688} \\x=0.72\rm in\)

Hence the distance between the library and the post office on the map is 0.72 inches. Thus the option A is the correct option,

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Answer:

Step-by-step explanation:

\(P_{ABCD}=P_{ACD}+P_{ABD}\)

We can use Heron's formula to calculate area of triangles:

\(P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}\)   where:

a, b, c  - sides of triangle

s  - semi-perimetr of triangle  {(a+b+c):2}

ΔACD:

a = 4.39 ,   b = 3.42  ,  c = 4.57

s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19

\(P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071\)

ΔACD:

a = 5.44 ,   b = 7.84 ,   c = 3.42

s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = \(P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816\)

\(P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89\)

Answer:

23/90

Step-by-step explanation:

Create a variable called "x" with a value of 0.2555 repeating.

10x would be equal to 2.555 repeating.

Calculate 10x - x using these numbers; 2.555 repeating minus 0.2555 repeating is 2.3 (the repeating fives subtract and cancel out). 2.3 is equal to 9x, so to find x, we write the fraction 2.3/9. To get rid of the decimal in the numerator, we multiply both the numerator and the denominator by 10: this gives 23/90. 23 is a prime number, so we know this fraction cannot be simplified further.

Answer:

he can buy 4 sheets of paper to print 16 pages

he will have 0.10 cents left

Step-by-step explanation:

With each piece of paper, he can print 4 pages

He has a full dollar

1/0.25 = 4

he can print 4 pages because the last 10 cents will not be enough to print another page

4 * 4 = 16

He will not be able to print all the pages

Answer:

A and D

Step-by-step explanation:

\(A)3\frac{2}{3} +\sqrt\frac{36}{4} \\=3\frac{2}{3} + \frac{6}{2} \\=\frac{11}{3} +\frac{6}{2} \\=\frac{22+18}{6} \\=\frac{40}{6} \\\\D)3\frac{2}{3} * \sqrt\frac{36}{4} \\=\frac{11}{3} *\frac{6}{2} \\=11\)

As 40/6 form a ratio and can be expressed in a p/q form where p=40 and q=6, it is rational

As 11 forms a ratio(11:1) and can be expressed in a p/q form where p=11 and q=1, it too is rational

Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

Answer:

   3 tons

Step-by-step explanation:

Answer:

because of traingle

we have to firstly scale. the factor and add the numbers

Both Knight Riders and Sunrisers have the same final score of 9. Hence, the match is tied.

To calculate the final scores for both teams, we need to take into account the runs scored, the number of wickets lost, and the number of wide balls bowled.

For the Knight Riders:

Therefore, their final score is 49 - 12 - 28 = 9.

For the Sunrises:

Therefore, their final score is 37 - 20 - 8 = 9.

Both teams have the same final score of 9. In cricket, if the scores are tied, then the match is considered a tie. So, neither team won the match.

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