37. A researcher believes that students who practice taking all of their regular tests on the computer
will do better on the State's final exam which is on the computer than the students taking their
regular tests by paper and pencil. Which would be the null hypothesis?
a.
H: The average on the state exam of the students using paper and pencil tests is greater than or
equal to the average on the state exam of the students using computer tests.
b. H.: The average on the state exam of the students using paper and pencil tests is greater than the
average on the state exam of the students using computer tests.
c. H: The average on the state exam of the students using paper and pencil tests is less than or
equal to the average on the state exam of the students using computer tests.
d. H: The average on the state exam of the students using paper and pencil tests is less than the
average on the state exam of the students using computer tests.

After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

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Answer:

50,000

Step-by-step explanation:

=100÷2[500÷5{6+4}]

=100÷2[500÷5×10]

=100÷2[100×10]

=100÷2×1000

=50×1000

=50000

0.105 is equivalent to the fraction 21/200 in lowest terms.

What is fraction?

A fraction is a number that represents a part of a whole. Suppose a number has to be divided into four parts, then it is represented as x/4. So the fraction here, x/4, defines 1/4th of the number x.

To convert a decimal to a fraction, we need to write the digits after the decimal point as the numerator and the place value of the last digit as the denominator. In this case, the last digit is 5, which is in the hundredths place (two places to the right of the decimal point).

Therefore, we can write:

0.105 = 105/1000

However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:

105/1000 = (105 ÷ 5)/(1000 ÷ 5) = 21/200

Therefore, 0.105 is equivalent to the fraction 21/200 in lowest terms.

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Answer:

582.6

Step-by-step explanation:

2/3 x 874 = 582.6

ANSWER: 480 out of 1200 were taken at the Honolulu Zoo.

Answer:

10 to 1

Step-by-step explanation:

if 0 went to up there 10 you'd have to

The additional acres that the parks occupy will be 33.75 acres.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, the additional acres that the parks occupy will be:

= (12.5 × 3) - 3.75

= 33.75 acres.

Note that the information is incomplete and the complete information is given below.

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A city is building 3 parks in a new subdivision. Each park will be 1.25 acres. How many total acres will the 3 parks be? 3.75 acres

The city acquired more land next to the subdivision. If it decides to make each park 12.5 acres, how many additional acres would the parks occupy?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data : 5, 9, 10, 11, 15

s = √[(ΣX - m)² / (n - 1)]

n = number of sample = 5

m = mean

m = ΣX/n

m = (5 + 9 + 10+ 11 + 15) / 5

m = 50/5 = 10

s =√((5-10)^2 + (9-10)^2 + (10-10)^2 + (11-10)^2 + (15-10)^2) / 5-1

= 3.601

(B) Multiply each data value by 5 to obtain the new data set 25, 45, 50, 55, 75. Compute s.

m = ΣX/n

m = (25 + 45 + 50 + 55 + 75) / 5

m = 250/5 = 50

s =√((25-50)^2 + (45-50)^2 + (50-50)^2 + (55-50)^2 + (75-50)^2) / 5-1

= 18. 028

(c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c?

The standard deviation changes by almost c times multiplied by the initial value.

3.601 * 5 = 18.005 which is almost equivalent to 18.028

(d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s 3.1 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calcula- tions?

No

Given 1 mile 1.6 kilometers, what is the standard deviation in kilometers?

If 1 mile = 1.6km

s = 3.1 miles

s in kilometers = (1.6 * 3.1) = 4.96km

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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Answer:

(48, 3), (80, 5), (160, 10)

Answer:

is *C*

Step-by-step explanation:

C is the results is the function

Answer:th hypotenuse and the height can’t possibly be the same size because the Pythagorean theorem is a^2 +b^2=c^2

Step-by-step explanation:

Answer:

hypotenuse is equal to side of this square.

but hypotenuse is never be equal to hieght of the triangle.

Work done lifting the bucket and rope to the top of the building is 4005.75 Joules

To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.

Initially bucket hold = 25kg. Sand

Sand leaks 0.1 kgs each meter it is lifted

At height x meter bucket hold = (25 - 0.1x) kg of sand

Length of rope = 15 meter

density of rope = 0.4kg / meter

weight of rope = 15 (0.4) = 6kg.

At height x meter, weight of rope = (6 - 0.4x)

Total weight at height x meter = (25-0.1x) + (6-0.4x)

                                                   = (31 - 0.5x) kg

force = (31-0.5x) g Newtons. = [(31-0.5x) 9.8] Newton

Work = force × displacement

\(Work= \int_{0}^{15}9.8(31-0.5x)dx\)

          \(=9.8[31x-0.5 \frac{x^2}{2} ]_{0}^{15}\)

          \(=9.8[31(15)-0.25(15)^2]-0\)

          \(=4005.75 joules\)

Hence, work done 4005.75 Joules

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Answer: C) Your new salary is the same as your original salary

===============================================================

Explanation:

A 25% increase means that we multiply by 1.25

Think of 1.25 as 100% + 25% = 1 + 0.25 = 1.25

So the initial $40,000 salary bumps up to (40,000)*1.25 = 50,000 dollars per year.

Then we reduce this by 20%, so we'll involve the multiplier 0.80

Why this value? Because if you lose 20% of something, then you still keep the remaining 80%. Think of it as 80% + 20% = 100%, or you can say 100% - 20% = 80%

So the salary of 50,000 will drop to (50,000)*0.80 = 40,000

The salary is back to its original value. The new salary is the same as the old one.

-------------------

Extra info (optional section)

It's not a coincidence that we end up with the same number. Why is this?

If we multiply the two decimal values (1.25 and 0.8) together, we end up with 1.25*0.80 = 1

So overall, the multiplier is 1 when we increase by 25% and then decrease by 20%. The multiplier of 1 does not change the value.

This is due to the rule 1*x = x*1 = x.

This applies to any starting value you want, and there's nothing special about the 40,000 figure.

By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The value of k for the line through points (-1, k) and (-7,-2) will be 4.

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope 'm' is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The line passing through the points (-1, k) and (-7, -2).

And, The equation of parallel line is;

⇒ y = x + 1

Now,

Since, We know that;

The slopes of two parallel lines are always same.

So, We need to find the slope of given parallel line, which is same as slope of the line passing through the points (-1, k) and (-7,-2).

Slope of parallel line y = x + 1 is;

dy/dx = m₁ = 1

And, slope of the line passing through the points (-1, k) and (-7,-2) is;

m₂ = (- 2 - k) / (- 7 - (-1))

m₂ = (- 2 - k ) / (- 7 + 1)

m₂ = (- 2 - k) / (-6)

Since, m₁ = m₂

So, we can formulate;

(- 2 - k) / (-6) = 1

(2 + k) / 6 = 1

Multiply by 6, we get;

2 + k = 6

Subtract 2 both side, we get;

k = 6 - 2

k = 4

Thus, The value of k for the line through points (-1, k) and (-7,-2) will be 4.

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Answer:

b/4 +b + b-8 =73

2b + b/4 = 81

9b/4 = 81

9b =81 * 4

b = 9* 4

b = 36

The sides of the triangles are 9 inch, 28 inch and 36 inch respectively

Step-by-step explanation:

As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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Answer:

9 6/7

This is the answer

Answer:

tge reciprocal of 7/9 is 9/7 while the reciprocal of 9 is 1/9

In order to find the reciprocal of a number, we should just flop it over.

If we have a fraction, and we're asked to find its reciprocal, we should just flop it over.

Please consult the formula for more details:-

\(\sf{The~reciprocal~of~a~is~\frac{1}{a}} \\The~reciprocal~of~\frac{a}{b} ~is~\frac{b}{a} }}\)

According to the formula,

\(\sf{The~reciprocal~of~\frac{7}{9} ~is~\frac{9}{7} }\\The~reciprocal~of~9~is~\frac{1}{9} }}}\)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

216

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

3(5x² - 9x)

3(5(-3)² - 9(-3))

3(5(9) - 9(-3))

3(45 + 27)

3(72)

216

Answer:

33

plsss mark brainliestt

Step-by-step explanation:

4(7)+23+2/8-3

28+25/5

28+5=33

Answer:

c. both of the above statements are false

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Distribution skewed to the right

This means that the Empirical Rule is not applicable, and the two statements are false, and thus, the correct answer is given by option c.

The first would be false nonetheless, but the second would be true if the distribution was normal.

The function is decreasing on the interval (0, [infinity])

The function h of x equals negative 2 times the square root of x is a decreasing function on the interval (0, ∞). This means that as the value of x increases, the value of h(x) decreases. On the interval (-∞, 0), the function is increasing. This means that as the value of x decreases, the value of h(x) increases. The graph of the function looks like a parabola that opens downward and is symmetric around the y-axis. The graph is a concave down curve, and the y-intercept is at (0, 0). As the value of x gets closer to 0, h(x) approaches negative infinity. As x approaches infinity, h(x) approaches 0. This means that the range of h(x) is (-∞, 0].In order to determine if the function is increasing or decreasing on a given interval, we need to look at the sign of the derivative of the function on the interval.

The derivative of h(x) is -2/sqrt(x).

For the interval (0, [infinity]), the derivative of h(x) is negative, indicating that the function is decreasing.

For the interval (–[infinity], 0), the derivative of h(x) is positive, indicating that the function is increasing.

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Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

The definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction

A ray is part of a line that has one endpoint and extends indefinitely in one direction and has the folowing properties.

So, the definition of a ray is a part of a line that has one endpoint and extends indefinitely in one direction.

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