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Advocard [28]
3 years ago
11

In a triangle, one side length is 4 feet and another side length is 7 feet. Which answers are possible lengths for the third sid

e?
Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0

Answer:

3

Step-by-step explanation:

You might just think that I subtracted but on the triangle the last side is the base which is always smaller.

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Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two
sveta [45]

Answer:

Step-by-step explanation:

From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:

                                            Alloy A        Alloy B

Sample mean                    \bar {x} _A = 49.5      \bar {x} _B = 45.5

Equal standard deviation    \sigma_A = 5         \sigma_B= 5

Sample size                          n_A = 30        n_{B}= 30

Mean of the sampling distribution is :

\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5  \\ \\ = 4.0

Standard deviation of sampling distribution:

\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667}  \\ \\ =1.2909

Hypothesis testing.

Null hypothesis:  H_o: \mu_A -\mu_B = 0

Alternative hypothesis:  H_A:\mu_A -\mu_B > 4

The required probability is:

P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}}   \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\  = 1 - [NORMDIST(3.10)]  \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq  0.0010

This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.

b)

Since the P-value is very small which is lower than any level of significance.

Then, we reject H_o and conclude that there is enough evidence to fully support alloy A.

3 0
3 years ago
Describe the process you used to write the equation of a line through two points.
xenn [34]
You can use point slope formula.  
y- y_{1}=m(x- x_{1})
By getting the slope (m) from ∆y/∆x
You can plug it into the equation and plug in either of the two points as x1 and y1.  This will result in the value for b.  Plug that into the final equation and you have your answer!
6 0
3 years ago
How can you prove a quadrilateral on a coordinate plane is a parallelogram?
denpristay [2]

To prove that it is a parallelogram, remember that the definition of a parallelogram is a quadrilateral with two pairs of parallel sides. Therefore, one way to prove it is a parallelogram is to verify that the opposite sides are parallel. From algebra, remember that two lines are parallel if they have the same slope.

6 0
4 years ago
Graph and label each quadrilateral. 14,16,18.
slava [35]

Answer:

We could see the graph of all of the three questions of the quadrilaterals as is attached with the answer.

Ques 14)

The vertices of quadrilateral is given as:

W(-1,1),X(0,2),Y(1,2),Z(0,-2)

Ques 15)

The vertices of the quadrilateral is given as:

R(-2,-3) , S(4,0), T(3,2) and V(-3,-1)

Ques 18)

The vertices of the quadrilateral are given as:

E(-3,1), F(-7,-3) ,G(6,-3) and H(2,1)




8 0
3 years ago
Given the equation square root of quantity 2x plus 8 end quantity equals 6, solve for x and identify if it is an extraneous solu
Alex_Xolod [135]

Answer:

Solution: x = 6

Step-by-step explanation:

Given equation is:

\sqrt{2x+8}=6

In order to solve the equation both sides will be squared

(\sqrt{2x+8})^{2} = (6)^2 \\2x+8 = 36\\2x = 36-8\\2x = 28\\x = 14

Verifying the solution

\sqrt{2(14)+8} = 6\\ \sqrt{28+8} = 6\\\sqrt{36} = 6\\6 = 6

3 0
3 years ago
Read 2 more answers
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