Test the following hypotheses by using the 2 goodness of fit test. H0: pA = 0.40, pB = 0.40, and pC = 0.20 Ha: The population proportions are not pA = 0.40, pB = 0.40, and pC = 0.20. A sample of size 200 yielded 20 in category A, 40 in category B, and 140 in category C. Use = 0.01 and test to see whether the proportions are as stated in H0. (a) Use the p-value approach. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20.Do not reject H0. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20. Reject H0. We conclude that the proportions are equal to 0.40, 0.40, and 0.20.Reject H0. We conclude that the proportions differ from 0.40, 0.40, and 0.20. (b) Repeat the test using the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail. Round your answers to three decimal places.) test statistic≤test statistic≥ State your conclusion. Reject H0. We conclude that the proportions are equal to 0.40, 0.40, and 0.20.Do not reject H0. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. Do not reject H0. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20.Reject H0. We conclude that the proportions differ from 0.40, 0.40, and 0.20.

Answer:

3 1/8

Step-by-step explanation:

6 1/4 ÷ 2

~Turn each number into an improper fraction

25/4 ÷ 2/1

~Copy Dot Flip

25/4 * 1/2

~Multiply

25/8 or 3 1/8

Best of Luck!

When the mixed number i.e. \(6\frac{1}{4}\) is divided by 2 so the answer is \(3 \frac{1}{8}\)

Given that,

Based on the above information, the calculation is as follows:

\(= 6\frac{1}{4} \div 2\\\\= \frac{25}{4} \div 2\\\\= \frac{25}{4} \times \frac{1}{2} \\\\= \frac{25}{8}\\\\= 3 \frac{1}{8}\)

Therefore we can conclude that when the mixed number i.e. \(6\frac{1}{4}\) is divided by 2 so the answer is \(3 \frac{1}{8}\)

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Answer:  Top one is trapezoid, middle one is rectangle, bottom one is triangle

Step-by-step explanation:

I took the test and got them all right, so this one must also be right

The shape is formed by each cross-section shown is Top is a trapezoid, the middle is a rectangle, the bottom is a triangle.

A branch of mathematics that offers the dimension, houses, and relationships of points, traces, angles, surfaces, and solids broadly: the take a look at houses of given elements that continue to be invariant beneath detailed ameliorations.

The definition of geometry is a department of math that makes a specialty of the measurement and courting of lines, angles, surfaces, solids, and points. An instance of geometry is the calculation of a triangle's angles.

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Answer:

P = 4sqrt2 meters

Step-by-step explanation:

The diagonal of the square is the diameter of the circle. The radius is given, it is 1 meter. The diameter would then be 2 meters.

If you just consider the diagonal and just two sides, it is a 45°-45°-90° triangle. If the hypotenuse is 2, then the legs are sqrt2. This is a side of the square. Each side of the square is ssqrt2. There are four sides.

To find the perimeter, add up all four sides. Or since its a square and all four sides are the same, times by 4

Perimeter = 4sqrt2 meters

Answer:

1. 3 yards= 9 feet

2. 78 cups=5 gallons

3. 72 inches = 2 yards

4. 80 ounces = 5 pounds

5. 84 inches = 7 feet

6. 24 feet = 8 yards

7. 40 pints = 5 gallons

8. 16 cups = 5 quarts

9. 144 inches = 4 yard

10. 48 ounces = 3 pounds

Given that f(x) is the square of x, there are no negative values in its range, which ranges from 0 to.

The answer to a polynomial equation with polynomial coefficients is a function, and that function is an algebraic function.

Linear, quadratic, cubic, polynomial, rational, and radical algebraic functions are some examples of the several types of algebraic functions.

The range of the function f(x) = x2 is higher than or equal to zero, and the domain of the function is the set of all real numbers (x can be anything).

A function that represents an upward-facing parabola is f(x) = x2.

Its range from - to - is its domain.

Given that f(x) is the square of x, there are no negative values in its range, which ranges from 0 to.

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Explore all similar answers

The parabola opens upward, the range of the function is [6/5, ∞) in interval notation.

We can find the range of the function by finding the vertex of the parabola, which will give us the minimum value, and then noting that the function increases without bound as x approaches infinity.

First, we need to find the vertex of the parabola. We can do this by finding the x-coordinate of the vertex, which is given by:

x = -b/2a

where a = 5, b = -2. Substituting these values, we get:

x = -(-2)/(2(5)) = 2/5

To find the y-coordinate of the vertex, we can substitute this value of x into the equation for g(x):

g(2/5) = 5(2/5)^2 - 2(2/5) + 1 = 5/5 - 4/5 + 1 = 6/5

So the vertex of the parabola is (2/5, 6/5), which is the minimum value of the function.

Since the parabola opens upward, the range of the function is [6/5, ∞) in interval notation.

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Answer:

y = [5/2]x + [5]

Step-by-step explanation:

y= mx+b

m=rise/run

m=5/2

b=y intercept

b=5

y = 5/2x + 5

Answer:

a = 16.71 b=19.92

Step-by-step explanation:

sin40 = a/26

a = 16.71

sin50 = b/26

b=19.92

(x,, y,) is a point on the line in the point-slope formula, and m is the slope.

When you know the slope of the line to be investigated and the point supplied is also the y intercept, you may utilize the slope intercept formula y = mx + b. (0, b). The y value of the y intercept point is represented by b in the formula.

The equation of a line can be written in several different formats:

Standard form

Ax+ By = C

A, B, and C must be real numbers and A and B cannot both be zero.

Slope-intercept form

Y = MX + b

M is the slope and b is the y-intercept.

Point-slope form

y-y₁ = m(x-x1)

In the point-slope formula, (x,, y,) is a point on the line and m is the slope.

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The equation for an exponential function in sequence notation is written as d(n) = a*r^(n-1), where "a" is the initial value of the function, "r" is the common ratio between each term, and "n" is the input variable representing the position of a term in the sequence.

The exponent "n-1" is used because the first term in the sequence corresponds to n=1, not n=0.
To determine the specific values of "a" and "r" in this case, we would need to examine the ordered pairs given. The exponential function would take the form d(n) = a*r^(n-1) = 5*2^(n-1), for example, if the first two ordered pairs were (1, 5) and (2, 10).
Exponential functions are often used to model growth or decay over time, such as population growth or the decay of a radioactive substance. They can also be used to model financial investments or other situations where values increase or decrease at a consistent rate over time.

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Answer:

Step-by-step explanation:

amama

Answer:

$6.00

Step-by-step explanation:

# of tickets is going up by 2

cost is going up by 12

12 / 2 = 6

Answer:

A

Step-by-step explanation:

We have proved the expression x/(y+z) + y/(z+x) + z/(x+y) = 4

To prove that x/(y+z) + y/(z+x) + z/(x+y) = 4, we can start by multiplying both sides by (x+y)(y+z)(z+x).

This will help us simplify the expression and eliminate any denominators.

Expanding the left side, we get:

x(x+y)(x+z) + y(y+z)(y+x) + z(z+x)(z+y)--------------------------------------------------- (y+z)(z+x)(x+y)

After simplification, we obtain:

2(x³ + y³+ z³) + 6xyz ------------------------------- (x+y)(y+z)(z+x)

Next, we can use the well-known identity, x³ + y³ + z³ - 3xyz = (x+y+z)x²x + y² + z² - xy - xz - yz), to further simplify the expression.

Plugging this identity in, we get:

2(x+y+z)(x²+ y²+ z² - xy - xz - yz) + 12xyz----------------------------------------------------- (x+y)(y+z)(z+x)

Simplifying this expression further yields:

8xyz -------(x+y)(y+z)(z+x)

Since 8xyz is equal to 2(x+y)(y+z)(z+x), we can conclude that:

x/(y+z) + y/(z+x) + z/(x+y) = 4

Hence, we have proved the given expression.

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Answer:

48 I think

Step-by-step explanation:

12+12+12+12=48

or 12 x 4=48

Answer:

48

Step-by-step explanation:

12+12+12+12 = 48

or

12x4=48

Answer:

Step-by-step explanation:

Answer:

light blue

bbbbbbbbccccc i said and brainly wont just let me type the answer if im wrong sorry

L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Q.1

6×sqrt(27) + 11×sqrt(75) =

= 6×sqrt(3×9) + 11×sqrt(3×25) =

= 3×6×sqrt(3) + 5×11×sqrt(3) =

= 18×sqrt(3) + 55×sqrt(3) = 73×sqrt(3)

Q.2

53×sqrt(5) × (-103×sqrt(50)) =

= 53×-103 × sqrt(5)×sqrt(50) =

= -5459 × sqrt(5×50) = -5459 × sqrt(250) =

= -5459 × sqrt(10×25) = -5459 × 5×sqrt(10) =

= -27,295 × sqrt(10)

Q.3

1/4 + 1/2 rational (as both terms are rational)

sqrt3 + 4 irrational (as sqrt(3) is not rational)

sqrt4 + 7 rational (sqrt(4) = 2, 2+7 = 9)

2 x sqrt9 rational (sqrt(9) = 3, 2×3 = 6)

7 x sqrt6 irrational (sqrt(6) is not rational)

4x2sqrt3 irrational (sqrt(3) is not rational)

3. 7 x (1/3) rational (all terms are rational)

7 x sqrt81 rational (sqrt(81) = 9, 7×9 = 63)

Answer:

182.88cm

Step-by-step explanation:

i looked it up

Answer:

Step-by-step explanation:

Maybe try to multiply or divide.

Answer:

Step-by-step explanation:

p = x + 3x - 3 + 5x - 6

p = 9x - 9

The distance of the given point P from the plane would be \(\frac{-1}{\sqrt{6}}, \frac{-5}{\sqrt{6}},and, \frac{2}{\sqrt{6}}.\)

What is a plane?

A plane is a two-dimensional Euclidean surface that extends indefinitely in mathematics. A plane is a two-dimensional equivalent of a point, a line, and a three-dimensional space.

The given point P is P(-2, -1, 1) and the plane coordinates are [4, -1, 6].

Then the distance will be

                                \(= \frac{-2.4+(-1*-1)+1.6}{\sqrt{(-2)^2+(-1)^2+1^2}}\\\\ =\frac{-1}{\sqrt{6} }\)

Now the distance of a point P from the plane t[1, 6, 3]

                                  \(= \frac{-2.1+(-1*6)+1.3}{\sqrt{(-2)^2+(-1)^2+1^2}}\\\\ =\frac{-5}{\sqrt{6} }\)

Now the distance of a point P from the plane [-2, 3, 1]

                                   \(= \frac{-2.-2+(-1*3)+1.1}{\sqrt{(-2)^2+(-1)^2+1^2}}\\\\ =\frac{2}{\sqrt{6} }\)

hence, the distance would be \(\frac{-1}{\sqrt{6}}, \frac{-5}{\sqrt{6}},and, \frac{2}{\sqrt{6}}.\)

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The missing statement to complete step 4 is given as follows:

a) <ACE is congruent to <BCD,

The reflective property of angle congruence states that an angle is always congruent to itself.

In the figure, we have that:

Hence the two angles are congruent, as are the angles of the step 3, meaning that the triangles are similar by the AA congruence theorem.

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Answer: For a test? Nah, thats cheating

Step-by-step explanation: Just kidding, the answer is B...

Answer:

im to lazy to do an equation

Step-by-step explanation: