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levacccp [35]
3 years ago
11

Suppose you have 3 pieces of string measuring 4 inches, 5 inches, and 10 inches. How many unique triangles can you form with the

se pieces of string?
A. 0
B. 1
C. 2
D. Infinitely Many
Mathematics
2 answers:
Papessa [141]3 years ago
6 0
I’m guessing B because the pieces of string are all different lengths, therefore creating only one type of triangle (scalene triangle)
horsena [70]3 years ago
5 0

Answer:

A


Step-by-step explanation:

This can be easily understood using the triangle inequality theorem:

"In a triangle, the combined lengths of any two sides must always be greater than the length of the third side."

  • Is 10+5 greater than 4? YES
  • Is 10+5 greater than 5? YES
  • Is 5+4 greater than 10? No!

Since all of them doesn't hold true, we cannot make any triangle. The answer is A, 0.

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Either use technology to find the P-value or use
Akimi4 [234]

Answer:

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation  

\bar X represent the mean

s represent the sample standard deviation

n=21 sample size  

\mu_o =140 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t=-0.024 would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:  

Null hypothesis:\mu \geq 140  

Alternative hypothesis:\mu < 140  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

The statistic is given by: t = -0.024

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

Since is a one side left tailed test the p value would be:  

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected \alpah=0.01,0.05,0.1

7 0
3 years ago
Parallelogram (x 40) and (3x)
fenix001 [56]
<span>x-y=2y -> x=3y and 
3x-40+2y=180 --> 9y-40+2y=180 --> 11y=220 --> y=20, x=60 --> <A=<C=140 degrees, <B=<D=40 degrees.</span>
8 0
3 years ago
What is 20 7/8 in decimal form
ValentinkaMS [17]

Answer:

20.875

Step-by-step explanation:

divide it and this is what get.

6 0
2 years ago
Read 2 more answers
A submarine sits at –300 meters in relation to sea level. Then it descends 115 meters. What is its new position in relation to s
Dovator [93]

Answer:

-415 feet

Step-by-step explanation:

-300-115 = -415

7 0
3 years ago
The model includes a new park in the center of the city. If the dimensions of the
11111nata11111 [884]

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project,  architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: <u>Unit</u> <u>Scale</u> is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

6 0
2 years ago
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