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2 years ago

Please help with number 11 please.

Mathematics

1 answer:

Tomtit [17]2 years ago

5 0

Answer: 4/10

Step-by-step explanation:

2/5 = ?/10 As the amount of pieces correspond to the denominator

As 5x2 = 10

2x2 = 4

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7. Mahmoud runs to a marker and back in 15 minutes. His speed on

blsea [12.9K]

Answer:

2000 meters

Step-by-step explanation:

From the above question

Total time = 15 minutes

Converting minutes to seconds

1 minute = 60 sec

15 minutes = x

Cross Multiply

x = 60 × 15 = 900 seconds

Hence, 900 seconds = Total time

Total time = Time to the marker + Time from the marker

From the question, we are given the Speed to the marker = 5 m/s

Speed from the marker = 4 m/s

Time = Distance/speed

Let the distance be represented by x

Hence:

x/4 + x/5 =900

Multiply all through equation by Lowest Common Denominator = 20

5x + 4x= 900×20

9x = 900 ×20

Divide both sides by 9

9x/9 = 900 × 20/9

x = 2000 meters

Therefore, the total distance to the marker = 2000 meters

3 0

3 years ago

Consider the following data to determine whether there is a significant difference between the values of Group 1 and Group 2. Le

cestrela7 [59]

Using the t-distribution, it is found that since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

At the null hypothesis, we test if the groups have the same values, that is, the subtraction of their means is 0:

$H_0: \mu_2 - \mu_1 = 0$

At the alternative hypothesis, we test if the groups have different values, that is, the subtraction of their means is different of 0:

$H_1: \mu_2 - \mu_1 \neq 0$

First, we have to find the mean and the standard deviation for both samples, hence, using a calculator:

$\mu_1 = 18.75, \sigma_1 = 6.2507, \mu_2 = 19.75, \sigma_2 = 4.2678$

The standard errors are:

$s_1 = \frac{\sigma_1}{\sqrt{n_1}} = \frac{6.2507}{\sqrt{8}} = 2.21$

$s_2 = \frac{\sigma_2}{\sqrt{n_2}} = \frac{4.2678}{\sqrt{8}} = 1.5089$

For the distribution of differences, we have that:

$\overline{x} = \mu_2 - \mu_1 = 19.75 - 18.75 = 1$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.21^2 + 1.5089^2} = 2.676$

We have the standard deviation for the samples, hence, the t-distribution is used. The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu$ is the value tested at the null hypothesis, which is 0 for this problem. Hence, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{1 - 0}{2.676}$

$t = 0.37$

To find the p-value, we have a two-tailed test, as we test if the means are different from a value, with t = 0.37 and 8 + 8 - 2 = 14 df.

Using a t-distribution calculator, this p-value is of 0.72.

Since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.

A similar problem is given at brainly.com/question/15682365

3 0

2 years ago

The sum of the measures of the interior angles of a convex polygon is 1,980. How many sides does the polygon have? sides

Julli [10]

Answer:

13 sides

Step-by-step explanation:

Sum of interior angles = (n - 2) 180°

(n - 2)*180 = 1980

n-2 = 11

n = 13

4 0

3 years ago

It takes 40 min for a bus to cover 36 miles. A car travels 1.4 times faster. When will they meet if they started 36 miles apart

sveticcg [70]

Bus:

40 min = 36 miles

1 min = 36 ÷ 40 = 0.9 mile

Car:

1 min = 0.9 x 1.4 = 1.26 miles

Total distance covered by both vehicles in 1 min:

1.26 + 0.9 = 2.16 miles

Time needed for both of them to cover 36km:

36 ÷ 2.16 = 16 2/3 min

Answer: They will meet 16 2/3 mins after they have started.

5 0

3 years ago

Read 2 more answers

What was left of A dollars after 45% of it was spent? (Show your work.)

anastassius [24]

Answer:

0.55A dollars

Step-by-step explanation:

If 45% of the money was spent, then the percentage left was

100% - 45%, or 55%.

Thus, to answer this question, we multiply (A dollars) by 0.55:

0.55A dollars was left after the expenditure of 45% of the original amount.

6 0

3 years ago