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3 years ago

1) The relation R on the set {1,2,3, 4}is defined as

1 answer:

7 0

Matrix dimension 4x4. We put 1 if role is in relation with the collon (role is first number of (a,b), number a, and collone is number b. We have them 4). So, the matrix representation is:

0 0 1 1

0 1 0 0

0 0 0 0

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The new printer at the school is able to print 2,700 pages in 45 minutes. On average, how many pages does it print per minute?

garri49 [273]

Answer:

It can print 60 pages per minute.

Step-by-step explanation:

You would divide 2,700 by 45, to get your answer. 2,700÷45=60. So your answer will be 60 pages per minute.

8 0

4 years ago

Read 2 more answers

40 POINTS PLEASE HELPPPPPPP ME !

IrinaK [193]

Answer:

75/100

=15/20

3/4

The probability is3/4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

"Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A r

sergiy2304 [10]

Answer:

(a) Null Hypothesis, $H_0$ : $p_1-p_2=0$ or $p_1= p_2$

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq 0$ or $p_1\neq p_2$

(b) We conclude that there is a statistical difference in these two proportions measured initially and then one year later.

Step-by-step explanation:

We are given that a random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured.

A different random sample of 1,100 drivers found 96.9% compliance."

Let $p_1$ = proportion of drivers that were in compliance initially

$p_2$ = proportion of drivers that were in compliance one year later

(a) Null Hypothesis, $H_0$ : $p_1-p_2=0$ or $p_1= p_2$ {means that there is not any statistical difference in these two proportions measured initially and then one year later}

Alternate Hypothesis, $H_A$ : $p_1-p_2\neq 0$ or $p_1\neq p_2$ {means that there is a statistical difference in these two proportions measured initially and then one year later}

The test statistics that will be used here is Two-sample z proportion statistics;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{ \frac{\hat p_1(1-\hat p_1)}{n_1} + \frac{\hat p_2(1-\hat p_2)}{n_2}} }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of drivers in compliance initially = 98.9%

$\hat p_2$ = sample proportion of drivers in compliance one year later = 96.9%

$n_1$ = sample of drivers initially = 1,250

$n_2$ = sample of drivers one year later = 1,100

(b) So, the test statistics = $\frac{(0.989-0.969)-(0)}{\sqrt{ \frac{0.989(1-0.989)}{1,250} + \frac{0.969(1-0.969)}{1,100}} }$

= 3.33

Now, P-value of the test statistics is given by;

P-value = P(Z > 3.33) = 1 - P(Z $\leq$ 3.33)

= 1 - 0.99957 = 0.00043

Since in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

Since our test statistics does not lies within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is a statistical difference in these two proportions measured initially and then one year later.

7 0

3 years ago

The table shows the number of trees at Citrus Orchards. What

Annette [7]

Answer:

B; 3/14

Step-by-step explanation:

4 0

3 years ago

Make a factor tree for 16

jonny [76]

16
∧
4 X 4
∧ ∧
2 X 2 2 X 2

The answer is 2 x 2 x 2 x 2 or 2⁴ This would have worked as well had you broken

down 16 into 8 x 2. You would get the same answer as the 8 would break down into 4 x 2 and the 4 would break down into 2 x 2.

6 0

3 years ago