802.06 expanded form

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 31 units 39 units 41 units 49 uni

BigorU [14]

Answer:

41

Step-by-step explanation:

So basically you need to use the pythagorean thrm. Essentially, the diagonal and the width and length create a triangle, the diagonal being the hypothenuse. So the formula goes as $\sqrt[]{a^{2} +b^{2} }$ . the variable "a" being the length and the variable "b" being the width. So plug it in and there you have your answer!

8 0

3 years ago

A teacher writes a simple computer program where she can type students name and computer tells her the students birthday.

Vikki [24]

Considering that each student has only one birthday, each input will be related to only one output, hence this relation is a function.

<h3>When does a relation represent a function?</h3>

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

The input is the student's name.

The output is the student's birthday.

Each student has only one birthday, hence each input will be related to only one output, hence this relation is a function.

More can be learned about relations and functions at brainly.com/question/12463448

#SPJ1

5 0

1 year ago

Which set of lengths are not the side lengths of a right triangle? (A-28, 45, 53) (B-13, 84, 85) (C-36, 77, 85) (D-16, 61, 65) [

nikklg [1K]

Side lengths 16, 61, and 65 are not part of a right triangle.

A right triangle's sides should follow this formula, C being the largest number:

$a^{2} + b ^{2} = c^{2}$

$16^{2} = 256$

$61^{2} = 3721$

$65^{2} = 4225$

256 + 3721 = 3977

$3977 \neq 4225$

6 0

2 years ago

An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive pr

LenKa [72]

Answer:

(a) The correct option is: H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b) Explained below.

(c) The better value of α will be 0.10.

Step-by-step explanation:

An automobile manufacturer is considering using robots for part of its assembly process only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers.

To test whether the proportion of defective installations is less for the robots than for human assemblers use a single-proportion z-test.

(a)

The hypothesis can be defined as:

H₀: The proportion of defective installations is same for both the robots and human assemblers, i.e. p = 0.02.

Hₐ: The proportion of defective installations is less for the robots than for human assemblers, i.e. p < 0.02.

The alternate hypothesis is the claim or the statement that is being tested.

In this case we need to test whether the proportion of defective installations is less for the robots than for human assemblers or not, so that the manufacturer can decide whether they want to apply the conversion.

Thus, the correct option is:

H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b)

A type I error occurs when we discard a true null hypothesis and a type II error is made when we fail to discard a false null hypothesis.

In this case a type I error will be committed if conclude that the proportion of defective installations is less for the robots than for human assemblers when in fact it is not.

And a type II error will be committed if we fail to conclude that proportion of defective installations is less for the robots than for human assemblers.

(c)

The power of the test is the probability of rejecting a false null hypothesis.

The power of the test sis affected by the significance level of the test (α).

Lesser the significance level of the test the lesser is the power of the test.

If the value of α is reduced from 0.05 to 0.01 then the region of acceptance will increase. This implies that there is low probability of rejecting the null hypothesis even when it is false.

So higher the value of α the higher is the probability of making a correct decision.

Thus, the better value of α will be 0.10.

3 0

3 years ago

Cognitive maps allow organisms to

Bess [88]

Answer:

C

Step-by-step explanation:

3 0

3 years ago