True or False? when using the chi-square goodness of fit test, the smaller the value of the chi-square test statistic, the more likely we are to reject the null hypothesis

The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

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Answer:

The one with the box does not have a -3 and 2 that is the odd one out

Answer:

e=14

Step-by-step explanation:

15/21 =10/e

by cross multiplying,

e×15=21×10

15e=210

e=210/15

e=14

Answer:

X=3

Y=1

Step-by-step explanation:

Vertex A forms dilation F

Answer: -7.87 × 108

Step-by-step explanation: Hope this helps:)

Answer:

E

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the diagonal ( hypotenuse ) be d , then

d² = 5² + 5² = 25 + 25 = 50 ( take square root of both sides )

d = \(\sqrt{50}\) = \(\sqrt{25(2)}\) = \(\sqrt{25}\) × \(\sqrt{2}\) = 5\(\sqrt{2}\) → E

Answer:  b

Step-by-step explanation:

I think

Ms. Howard's salary would be $360. Below, you will learn how to solve the problem.

Ms. Howard's salary can be found by first calculating the amount of money spent on groceries, entertainment, and transportation. 1/3 of her monthly salary was spent on groceries, so that would be $(1/3)x where x is her salary, 1/4 of her monthly salary was spent on entertainment, so that would be $(1/4)x. 2/5 of the remaining amount was spent on transportation, which is $(2/5)(x-(1/3)x-(1/4)x).

Ms. Howard then had $270 left, so we can set up the equation:

$(1/3)x + $(1/4)x + $(2/5)(x-(1/3)x-(1/4)x) = 270

Solving for x, Ms. Howard's salary would be $360.

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Answer: True

Step-by-step explanation:

Because  all the classes have their own respective frequency and that represents the repetition of that values and when we add all these frequencies, we will get the number of elements in the given data. Hence, a sum of all frequency for all classes will always equal the number of elements in the given data.

Answer:

area of trapezoid==1/2 h(d1+d2)=7.5/2(10+(5+2×3+5))=97.5in²

area of semi circle=1/2 πr²=1/2 ×3.14×3²=14.13in²

area of shaded region=97.5-14.13=83.37in²

Answer:

outside shape = (10x7.5)+(2)(0.5)(7.5x3) = 97.5 in^2

circular cutout = (3.14)(3^2)(0.5) = 14.1 in^2

97.5-14.1 = 83.4 in^2

Answer:

\(F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1\)

Step-by-step explanation:

\(1. \mathrm{Subtract\:}f\left(x+2\right)\mathrm{\:from\:both\:sides}\\ F\left(x+1\right)+f\left(x+2\right)-f\left(x+2\right)=2x+3f-f\left(x+2\right) \)

\(2. \mathrm{Simplify}\\ F\left(x+1\right)=-xf+f+2x\\ \)

\(3. \mathrm{Divide\:both\:sides\:by\:}x+1;\quad \:x\ne \:-1\\ \frac{F\left(x+1\right)}{x+1}=-\frac{xf}{x+1}+\frac{f}{x+1}+\frac{2x}{x+1};\quad \:x\ne \:-1\)

\(4. \mathrm{Simplify}\\ F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1\)

Final Answer: \(F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1\)

Answer:

10 units squared

Step-by-step explanation:

The answer is in the picture. Also the working out is.

Answer:

2.5

Step-by-step explanation:

Answer:

n=-7/2 I hate asking for things but can i have brainliest im trying to rank up.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

n/7−12=5n+5

1/7n+−12=5n+5

1/7n−12=5n+5

Step 2: Subtract 5n from both sides.

1/7n−12−5n=5n+5−5n

-34/7n−12=5

Step 3: Add 12 to both sides.

-34/7n−12+12=5+12

-34/7n=17

Step 4: Multiply both sides by 7/(-34).

(7/-34)*(-34/7n)=(7/34)*(17)

The cost of 1.20 kg of carrots is $2.09.

to convert the weight of carrots from pounds to kilograms. There are approximately 2.20462 pounds in 1 kilogram. Therefore, 1.20 kg of carrots is equivalent to 2.64555 pounds.

Next, we can use the given price of $0.79 per pound to calculate the cost of 2.64555 pounds of carrots.

Cost of 2.64555 pounds of carrots = 2.64555 x $0.79

Cost of 2.64555 pounds of carrots = $2.09 (rounded to the nearest cent)

Therefore, the cost of 1.20 kg of carrots is $2.09.

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Answer:

step 4

Step-by-step explanation:

4+2=6

Answer:

x = 15

Step-by-step explanation:

Let the number be x.

(x - 14) x 3 = 3

3x - 42 = 3

3x = 45

x = 15

This is a question on forming and solving an algebraic equation. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

The unknown number could be 15.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given; I subtract 14 from a certain number. I multiply the result by 3. The final answer is 3 .

Let the unknown number be x.

(x - 14) x 3 = 3

3x - 42 = 3

3x = 45

x = 15

Hence, the unknown number could be 15.

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Answer:

2 : 3

Step-by-step explanation:

if x = 3, y = 2

The difference : x - y = 3 - 2 = 1

represents for "y":

\(\frac{1}{y}(100) =\frac{1}{2} (100)=50\)%

Hope this helps

We must conclude that there are infinitely many primes of the form 3k + 2, where k is a non-negative integer.

To adapt the proof:

We can use a similar contradiction argument.

Suppose that there are only finitely many primes of the form 3k + 2, say p1, p2, ..., pn.

Let N = 3p1p2...pn + 2. Note that N is of the form 3k + 2 for some non-negative integer k.

Now, let's consider the prime factorization of N. Either N is prime and of the form 3k + 2, in which case we have found a new prime of the desired form, contradicting our assumption that there are only finitely many such primes. Or, N is composite and has a prime factorization consisting only of primes of the form 3k + 1 (since any prime of the form 3k + 2 would divide N). But this implies that N itself is of the form 3k + 1.

Now, let's consider the number M = 3N + 2. M is also of the form 3k + 2, and so must have a prime factorization consisting only of primes of the form 3k + 1. But since N is of the form 3k + 1, we have

M = 3(3p1p2...pn + 1) + 2 = 9p1p2...pn + 5. This means that M has a prime factorization consisting of primes of the form 3k + 2, which contradicts our assumption that there are only finitely many such primes.

Therefore, we must conclude that there are infinitely many primes of the form 3k + 2, where k is a non-negative integer.

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Answer:

85 dollars will be withheld with a 7.65% income tax because she is only making 1,110 dollars.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the equation of a line expressed as y = 3x-1, we are to find y = f(x) for the following values of x in the table.

If y = 3x-1, then f(x) = 3

When x = -1

f(-1) = 3(-1)-1

f(-1) = -3-1

f(-1) = -4

Hence when x = -1, f(x) = -4

When x = 0

f(0) = 3(0)-1

f(0) = 0-1

f(0) = -1

Hence when x = 0, f(x) = -1

When x = 2

f(2) = 3(2)-1

f(2) = 6-1

f(2) = 5

Hence when x = 2, f(x) = 5

Step-by-step explanation:

no , (2,12) only works for the 1st one

Answer:

Step-by-step explanation:

No

Step-by-step explanation:

volume of cylinder πr2h

radius = 7.5in

height = 11in

 volume= 22/7 x7.5 x7.5x11

           = 1942.875

therefore volume =1942.875 in

The other endpoint of the line segment with mid-point as( -4,7 ) and end point (3,8) is  (-11, 6).

The midpoint formula is expressed as:

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints of the line segment.

Given that the midpoint is (-4, 7) and one endpoint is (3, 8).

Let the other endpoint be (x, y). T

Hence, we can set up two equations:

(x + 3) / 2 = -4 (equation for x-coordinates)

(y + 8) / 2 = 7 (equation for y-coordinates)

Solving for x and y, we get:

x + 3 = -8

x = -8 - 3

x = -11

For y:

y + 8 = 14

y = 14 - 8

y = 6

Therefore, the other endpoint is (-11, 6).

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The BAC of the female is an illustration of proportion

BAC is calculated using:

BAC = Alcohol consumed/(Body Weight * R)

The weight is given as:

Body weight = 140 lb

Convert to kg

Body weight = 63.5 kg

For female

R = 0.55

So, we have:

BAC = Alcohol/(63.5 * 0.55)

BAC = Alcohol/34.925

BAC = 0.029Alcohol

The weight or volume of the alcohol consumed is given.

So, we represent it with w.

BAC = 0.029w

Hence, the BAC after consuming the three drinks is 0.029w

We have:

BAC1 = 0.029w

Time (t) = 3 hours

The BAC after 3 hours is

BAC = BAC1 * (t - 0.015)

So, we have:

BAC = 0.029w * (3 - 0.015)

Evaluate the product

BAC = 0.087w

Hence, the BAC three hours after consuming the drinks is 0.087 w

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Answer:

cool

Step-by-step explanation:

Answer:

ok now h h h h h j j j m m n j oh g g g h j

The probability that a randomly selected point within the circle falls in the red shaded area is 15.9%

The radius is given s:

r = 4 cm

So, the area of the triangle is

A1 = 0.5r^2

Similarly, the area of the circle is

A2 = πr^2

The probability that a randomly selected point within the circle falls in the red shaded area is

P = A1/A2

This gives

P = 0.5r^2/πr^2

Evaluate

P = 15.9%

Hence, the probability that a randomly selected point within the circle falls in the red shaded area is 15.9%

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Step-by-step explanation:

The GCF of 24 and 18 is '6'...factor that out to get

6 ( 4a-3b)   that is all you can do....