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finlep [7]
3 years ago
14

Which is a mathematical statement consisting of a hypothesis and conclusion that has to be proven true?

Mathematics
2 answers:
svlad2 [7]3 years ago
10 0

Answer:

Theorem

Step-by-step explanation:

A theorem is actually a mathematical statement consisting of a hypothesis and conclusion that has to be proven true. Example of s therorem will bethe pythagoras theorem. which states that the square of the hypotenuse of a right angle triangle is equal to the square of the opposite plus the square of the adjacent.

H^2=O^2+A^2

Other examples are circle theorems in circle geometry, theorems in Euclidean Geometry

Aleks04 [339]3 years ago
5 0
Conclusions is the theory of mathematical statement
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Plz help me this is a final!!!
Marat540 [252]

Answer: (a) 10 (b) 1. 10 2. -10 (c) 1. 10 2. 10

Step-by-step explanation:

6 0
2 years ago
Consider a solid spherical ball made of wood. Suppose a hole is bored (drilled) vertically through the center of the ball and th
lbvjy [14]

Answer:

The volume of solid is 268.08 inches cube.

Step-by-step explanation:

The solid spherical ball has height 8 inches that means the diameter of the sphere is 8 inches. So, the radius will be the half of diameter. Thus, radius is 4 inches.

Now use below formula to find the volume of solid sphere.

Volume = \frac{4}{3}\pi r^{2} \\Volume = \frac{4}{3}\pi (4)^{2} \\Volume = 268.08 \ in^{3}

Therefore, the volume of solid is 268.08 inches cube.

5 0
3 years ago
Connecticut families were asked how much they spent weekly on groceries. Using the following data, construct and interpret a 95%
Amanda [17]

Answer:

The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

Step-by-step explanation:

The data for the amount of money spent weekly on groceries is as follows:

S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}

<em>n</em> = 10

Compute the sample mean and sample standard deviation:

\bar x =\frac{1}{n}\cdot\sum X=\frac{ 1767 }{ 10 }= 176.7

s= \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 188448.1 }{ 10 - 1} } \approx 144.702

It is assumed that the data come from a normal distribution.

Since the population standard deviation is not known, use a <em>t</em> confidence interval.

The critical value of <em>t</em> for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (10-1)}=t_{0.025, 9}=2.262

*Use a <em>t</em>-table.

Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}

     =176.7\pm 2.262\cdot\ \frac{144.702}{\sqrt{10}}\\\\=176.7\pm 103.5064\\\\=(73.1936, 280.2064)\\\\\approx (73.20, 280.21)

Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

7 0
3 years ago
Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distan
Umnica [9.8K]

Answer:

Step-by-step explanation:

You have to set each runner's plan equal to each other because they are equal in the end. You start with 7 miles for Angelo and 4 miles for Marc.

x is a variable that is multiplied by the number of weeks it takes for both runners' distances to be equal. So multiply x by the miles increased every week.

Marc = Angelo

2x + 4 = x + 7

x = 3

In 3 weeks each runner will run 10 miles for the week.

4 0
3 years ago
HELP I NEED HELP ASAP
Volgvan

the answer is b

X is a bigger number and the difference between x and y is 7, so x-y=7. And it says that the sum of two numbers is 31 so x+y=31

7 0
3 years ago
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