Jimmy has a ratio of 1:20, or 1 page:20 seconds. Carlo has a ratio of 1:30, or 1 page:30 seconds. Jimmy reads at a faster pace than Carlo, as he is able to read a page in 2/3 of the time it takes Carlo.

Step-by-step explanation:

Jimmy reads a page, on average, every 20 seconds.

5 × 60 = 300

300/15 = 20

therefore, one page every 20 seconds

1:20

Carlo reads a page, on average, every 30 seconds.

6 × 60 = 360

360/12 = 30

therefore, one page every 30 seconds

1:30

7 0

6 months ago

Read 2 more answers

Which of the following is a conjugate for 7 + iSquare root of 2?

olganol [36]

Conjugate of a complex number a + ib = a - ib.
Therefore, conjugate of 7 + isqrt(2) = 7 - isqrt(2)

6 0

3 years ago

Read 2 more answers

Kevin estimated the differncle between of 9/10 minus 4/8 to be 0 is his estimate reasonable explain

raketka [301]

Answer:

No, it is not reasonable

Step-by-step explanation:

Writing 9/10 and 4/8 as fractions out of 100, and then as decimals

9/10 = 90/100 = 0.9

4/8 = 1/2 = 50/100 = 0.5

0.9 - 0.5 = 0.4

Not 0, like Kevin estimated

4 0

2 years ago

Read 2 more answers

Let n1=50, X1=10, n2=50, and X2=30. Complete parts (a) and (b) below. a. At the 0.10 level of significance, is there evide

iren2701 [21]

Answer:

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at 0.10 level of significance

There is a difference between the two Population proportions

Step-by-step explanation:

Step(i):-

Given first sample size (n₁) = 50

Given proportion of the first sample p⁻₁= 0.2

Given second sample size (n₂) = 50

Given proportion of the second sample p₂⁻ = 30/50 = 0.6

Null Hypothesis : H₀: p₁⁻=p₂⁻

Alternative Hypothesis : H₁: p₁⁻≠p₂⁻

Step(ii):-

Z-statistic

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2}) } } }$

Where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }$

$P = \frac{50X0.2+50X0.6}{50+50} = 0.4$

Z-statistic

$Z = \frac{0.2-0.6}{\sqrt{0.4 X 0.6(\frac{1}{50}+\frac{1}{50} } }$

Z = -4.089

Level of significance =0.10

Z₀.₁₀ = 1.645

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at 0.10 level of significance

Final answer:-

There is a difference between the two Population proportions

3 0

2 years ago