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topjm [15]
3 years ago
5

Which of the following functions has the function rule y = x + 4?

Mathematics
2 answers:
hichkok12 [17]3 years ago
8 0
The correct answer is A
Nataly_w [17]3 years ago
8 0
The correct answer is “a”
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Use determinants to find out if the matrix is invertible.
wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0

Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0
3 years ago
drug sniffing dogs must be 95% accurate in their responses because their handlers don't want them to miss durgs and also don't w
GenaCL600 [577]

Answer:

95% Confidence interval:  (0.8449,0.9951)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Number of times the dog is right, x = 46

\hat{p} = \dfrac{x}{n} = \dfrac{46}{50} = 0.92

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.92 \pm 1.96(\sqrt{\dfrac{0.92(1-0.92)}{50}})\\\\ = 0.92\pm 0.0751\\\\=(0.8449,0.9951)

(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.

7 0
3 years ago
Below are two parallel lines with a third line intersecting them.
Ulleksa [173]

Answer:

x = 88

Step-by-step explanation:

These angles are same side exterior angles, and when the lines are parallel, same side exterior angles are supplementary

x + 92 =180

Subtract 92 from each side

x+92-92=180-92

x =88

4 0
3 years ago
Read 2 more answers
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