what is lhopitals rule calculator online

A sample's null hypothesis indicates that no statistical relationship exists in a set of provided single observed variables. The null hypothesis is rejected for both parts A and B of the question.

A sample's null hypothesis indicates that no statistical relationship exists in a set of provided single observed variables.

Part A: The conclusion to be reached at the 5% level of significance-

The p value for the z score in the right tailed or upper test can be obtained from the z table, which is,

p-value=0.125=0.125

The p value of 0.125 is greater than the significance level of 0.06. As a result, the effect is not significant, and the null hypothesis cannot be rejected.

Part B: If the alternative hypothesis is Ha: p 0.6, the conclusion to reach at the 5% level is-

The unequal sign 2-test is carried out here. The p value for the 2-test is as follows:

The p-value is 0.25=0.25.

In this case, the p value of 0.25 is greater than the significance level of 0.05. As a result, the effect is not significant, and the null hypothesis cannot be rejected.

As a result, the null hypothesis fails to be rejected for both parts A and B of the question.

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Option B is the correct option.

A 10-year-old youngster is having his physical evaluated by the nurse right now. The nurse records that the child weighed 80 pounds during the previous year's checkup. The child's current weight should be around 86 pounds based on growth typical for this age group.

As per the data given in the above question are as bellow,

According to average growth for a 10-year-old boy,

the expected weight gain per year is around 5 to 7 pounds.

Assuming a steady growth rate,

the expected current weight of the child would be:

=80 pounds (last year's weight) + 6 pounds (average weight gain for a 10-year-old boy)

= 86 pounds

Therefore, the expected current weight of the child would be around 86 pounds, which is closest to option B) 85 pounds.

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375 different combinations of pizza Allie and his friends can create.

What is a combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

The vegetable toppings are mushrooms, broccoli, green peppers, olives, and onions.

Here, n=5 r=1

So, C(n, r) = 5!/1!(5-1)!

= 5

The meat toppings are pepperoni, salami, sausage, chicken, and ground beef.

Here, n=5 r=1

So, C(n, r) = 5!/1!(5-1)!

= 5

They can pick thick, hand-tossed, or deep-dish crust.

Here, n=3 r=1

So, C(n, r) = 3!/1!(3-1)!

= 3

They can also pick garlic, tomato, ranch, pesto, or barbecue sauce.

Here, n=5 r=1

So, C(n, r) = 5!/1!(5-1)!

= 5

Number of ways = 5×5×3×5

= 375

Hence, in 375 ways they can choose pizza.

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The solution for the given system of equations as required to be determined is such that; it has infinitely many solutions.

It follows from the task content that;

y = (2/3)x + 5 and -2x + 3y = 15.

Also, by substitution, we have that;

-2x + 3 ( (2/3)x + 5 ) = 15

-2x + 2x + 15 = 15

15 = 15.

Consequently; it follows that the system of equations given has infinitely many solutions as the equations are coinciding equations and form coinciding lines when graphed.

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The expected value of the game is $16.50.

First we need to multiply the amount you can win by the probability of winning it, then add up all the products.

Let's call the expected value "E":

E = (0.20 x $60) + (0.15 x $30) + (0.25 x $0) + (0.40 x $0)

E = $12 + $4.50 + $0 + $0

E = $16.50

Therefore, the expected value of the game is $16.50.

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The value of 80 as fraction is 80/1.

To make 80 as a fraction, we need to place it over a denominator. The denominator can be any number as long as it is not equal to zero.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor (GCF), which is 10 in this case.

Therefore, the fraction 80 can be written as 80/1 or simplified as 8/1. This means that 80 is equivalent to 8 wholes or 8 times the unit.

In summary, 80 as a fraction is 80/1 or 8/1 when simplified.

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Answer:

A. –8.6, –5.0, –1.4, 2.2, 5.8, …

C. 5, 1, –3, –7, –11, …

D. –3, 3, 9, 15, 21, …

Step-by-step explanation:

If a sequence is an arithmetic sequence, the difference between any two terms must be the same for all terms.

This is known as the common difference

The correct choices are:
A : Common Difference = 3.6

C. Common difference = -4

D. Common difference = 6

Answer:

The step which is used is to construct the altitude from the incentre  to a side of triangle and label the intersection point.

Step-by-step explanation:

Given point d is is the center of inscribed circle.

To construct the inscribed circle of abc we have several steps of construction

Step 1: First step is to construct the incenter with the help of angle bisectors of two base vertices.

Here given d center of inscribed circle that means the incenter given.

Step 2: After incenter, draw a line perpendicular to one side of triangle that passes through incenter and the label the point of intersection.

This is very important step because after labelling measure the radius(same as the distance between the incenter and labelled point) and draw the circle.  

Hence, after incenter The next step is to construct the altitude from the incentre  to a side of triangle and label the intersection point.

Step 2 is used draw inscribed circle when incenter already given.

The class interval of a data set with 30 elements is 5.

The range of a data set is the difference between the largest and smallest values in the set. Once the range is calculated, the class interval can then be calculated by dividing the range by the number of elements in the set.

In the case of a data set with 30 elements, the class interval can be calculated by dividing the range of the data set by 30. This will tell us the size of the intervals that the data is divided into.

If the range of the data is 150, the class interval would be 150/30, which is equal to 5. Therefore, the class interval of the data set would be 5.

It is important to note that the class interval should be chosen so that it is not too small or too large. If the class interval is too small, the data may become too granular, making it difficult to interpret. If the class interval is too large, important details about the data may be lost

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To solve for y, isolate y on one side of the equation by performing inverse operations, and simplify the expression as much as possible.

To solve for y online, input the equation into an equation solver or a mathematical software tool, and select the "solve for y" option. This will allow you to isolate the variable y and solve for it algebraically. There are many online equation solvers and mathematical software tools available that can perform this task quickly and easily. Simply input the equation, select "solve for y," and the tool will generate the solution set for the equation in terms of y.

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The measure of each angle if the measure of LQ is 26° less than the measure of R and, LQ and LR are complementary, is:

We can solve this problem by using the definition of complementary angles and setting up an equation.

Since LQ and LR are complementary, we know that the sum of their measures is 90°. So we can write the equation:

LQ + LR = 90°

Next, we are told that the measure of LQ is 26° less than the measure of LR. We can write this as:

LQ = LR - 26°

Now we can substitute the expression for LQ into the first equation and solve for LR:

LR - 26° + LR = 90°

2LR = 116°

LR = 58°

Now we can plug this value back into the equation for LQ to find the measure of LQ:

LQ = 58° - 26°

LQ = 32°

So the measure of LQ is 32° and the measure of LR is 58°. These are the measures of the complementary angles.

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The value of 19 in Roman numerals is XIX

Roman numerals are defined as a numeral system which originated in ancient Rome and still remains the usual way of writing numbers throughout Europe into the Late Middle Ages.

Some examples of these numeral are;

We have to represent 19, we have;

X representing ten

IX representing nine

Put them together

19 is equal to XIX

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The number of dimples per square centimeter are on the surface of a golf ball is 0.17, the correct option is A.

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

The circumference= 13.408cm

Number of dimples = 336

Now,

2pi*r= 13.408

r= 13.408/2*3.14

r=2.13

Surface area= 4*pi*r^2

=4*3.14*2.13*2.13

=56.98

336dimple=56.98cm^2

1dimple=56.39/336

=0.167

Therefore, by the area of sphere the answer will be 0.170.

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Answer:

1% of $500 = $5

Total Saving from $500 to $ 860

[tex] = \frac{860}{5} = 172 \\ [/tex]

Now percentage of growth :-

[tex] \frac{172}{500} \times 100 \\ \\ \frac{17200}{500 } = 34.4[/tex]

Hence, the rate of change Sergio savings = 34.4%

The five-number summary calculator is a statistical method. It is used to find the third quartile, first quartile, median, minimum, and maximum value of the given data set.

A five-number summary calculator is a statistical test that includes five items. The items are Q₁ or first quartile, Q₃ or third quartile, the median, the maximum, and the minimum. This helps to give an idea about the data set. This also helps to calculate ascending order, descending order, and interquartile of the given data set.

In this method, we first input the list of numbers or data. Then, we arrange those numbers. From this, the minimum value and the maximum value will be found. Then, the median is calculated using the formula for odd and even numbers of terms. Then, the median of the lower half numbers gives the first quartile and the upper half number gives the third quartile.

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Answer: -25

Step-by-step explanation:

Answer:

360 miles

Step-by-step explanation:

To calculate how far a freight train travels in 4.5 hours, you need to know the train's average speed. Once you know the average speed, you can use the following equation to calculate the distance traveled: Distance = Speed x Time. So, if the freight train is traveling at an average speed of 80 miles per hour, it will have traveled a total of 360 miles in 4.5 hours.

To convert 80 kilograms (kg) to pounds (lb), Use the conversion factor that represents the relationship between kilograms and pounds, which is 1 kg = 2.20462 lb.

Now, to convert 80 kg to lb, multiply 80 by the conversion factor:

80 kg x (2.20462 lb / 1 kg) = 176.3696 lb

Therefore, 80 kilograms is equal to 176.3696 pounds (rounded to four decimal places). The complete mathematical expression for this conversion is:

80 kg x (2.20462 lb / 1 kg) = 176.3696 lb

A conversion factor is a mathematical expression that expresses the relationship between two units of measurement. It is used to convert measurements between units.

Conversion factors are commonly used to convert measurements between different units of measurement in math, science, and engineering. They are a useful tool for performing calculations and comparing data in various units.

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The values in the composite functions are (u o w)(2) is 7 and (w o u)(2) is 3

A composite function is a function that results from the combination of two or more functions. To form a composite function, the output of one function is used as the input of another function. The composite function can be represented by a single formula or equation, which combines the individual functions.

Let's say we have two functions f(x) and g(x). The composite function f(g(x)) is formed by using the output of the function g(x) as the input of the function f(x). In other words, we first apply g(x) to x, and then we apply f(x) to the result. The resulting composite function is written as f(g(x)).

In the problem given;

u(x) = x² + 3

w(x) = √(x + 2)

a.

(u o w)(2) = 7

b.

(w o u)(2) = 3

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The sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Any three points in Euclidean geometry, when they are not collinear, produce a distinct triangle. A right triangle is a triangle with two perpendicular sides and one angle that is a right angle.

The given figure has a large right triangle with sides g,h and j and a small right triangle with sides 12, j and 5.

Using the small triangle, we can find the value of j.

By Pythagoras theorem,

j² = 12² + 5² = 144 + 25 = 169

j = 13

Now using trigonometric relation we can find the angle ∅  between j and 5.

sin ∅ = 12/13 = 0.923

∅ =  sin ⁻¹ (0.923) = 67.37°

This angle is common for both triangles.

So for large triangle,

tan 67.37 = h/j = h/13

2.4 = h/13

h = 31.2

By Pythagoras theorem,

g² = h² + j²  = 31.2²  + 13² = 1142.44

g = 33.8

Therefore the sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13.

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The apex predator in the given triangle is the animal at the highest point, Beluga whale. Option 2 is the correct answer.

An apex (plural apices) is the vertex in geometry that is essentially the "highest" of the form to which it belongs. The phrase is frequently used to describe the vertex that is opposite from a "base." The word comes from a Latin root that means "summit, peak, tip, top, or extreme end."

the point (vertex) of an item that is furthest distant from its base.

The apex predator in the given triangle is the animal at the highest point, Beluga whale.

Hence, Option 2 is the correct answer.

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The distance between two points in a coordinate plane can be found by the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

To calculate the distance between two points in a coordinate plane, you can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between them.

For example, if you want to find the distance between the points (2, 3) and (5, 7), you would plug in the values as follows:

d = sqrt((5 - 2)^2 + (7 - 3)^2)

d = sqrt(3^2 + 4^2)

d = sqrt(9 + 16)

d = sqrt(25)

d = 5

Therefore, the distance between two points is d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

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I'm positive the answer is 1, 7, 13, and 91

The Longest Increasing Subsequence (LIS) problem is a classic problem in dynamic programming. Given a sequence of numbers, the problem is to find the longest subsequence in which the numbers are in increasing order. For example, given the sequence {3, 1, 5, 2, 4}, the longest increasing subsequence is {1, 2, 4}, which has length 3.

The LIS problem can be solved using dynamic programming by defining an array to store the length of the longest increasing subsequence that ends at each position in the sequence. The array is initialized to 1, and then for each position i in the sequence, the length of the longest increasing subsequence that ends at i is calculated by finding the maximum length of any subsequence that ends at a position j < i and has a smaller value than the value at i. The final solution is the maximum length of any subsequence in the array.

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Answer: 56

Step-by-step explanation: Since we know both triangles are similar, we want to first find the scale factor between the two triangles, knowing side UP and side PQ are corresponding we can find that 84/60 or in simplified terms, 7/5 is the scale factor. Now we know that side VP and side PR are corresponding so 40 x 7/5 gives us 56 which is side PR. Hope this helped! :)

One acre is equal to 43,560 square feet. To convert acres to square feet, you can multiply the number of acres by 43,560.

For example, if you want to convert 6 acres to square feet, you can multiply 6 by 43,560:

6 acres x 43,560 square feet/acre = 261,360square feet

So, 6 acres is equal to 261,360square feet.

Acres and feet are area and length measurement units, respectively. There is no direct conversion between acres and feet because they measure different things. However, you can convert acres to square feet using a conversion factor.

Please keep in mind that this conversion only applies to area measurements. If you need to convert linear measurements from acres to feet, you'll need more information about the area's shape and dimensions.

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The  value which we convert from 118 kilograms to pounds is equal to ( 260.15 ) pounds ( round upto two decimals ).

Convert 118 kilograms to pounds using standard relation  :

1 kilograms is equivalent to  2.20462 pounds

To covert 118 kilograms to pounds we have :

⇒ 118 kilograms = ( 118 × 2.20462  ) pounds

⇒ 118 kilograms =  ( 260.145 ) pounds

⇒ 118 kilograms =  ( 260.15 ) pounds ( round upto two decimals )

Therefore, converted relation between kilograms to pounds is given by :

118 kilograms =  ( 260.15 ) pounds ( round upto two decimals ).

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