All categories

3 years ago

What is the slope of a line perpendicular to the line with a slope of 1/2

Mathematics

1 answer:

frosja888 [35]3 years ago

7 0

Answer:

-2

Step-by-step explanation:

To answer this, just take the negative reciprocal of 1/2. We obtain -2.

You might be interested in

The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 11 nursing s

Fofino [41]

Answer:

There is enough evidence to claim that population mean 1 is less than population 2 at the 0.05 significance level.

Step-by-step explanation:

We are given the following in the question:

Group 1:

$\mu_1 = 63.3\\\sigma_1 = 3.7\\n_1 = 11$

Group 2:

$\mu_2 = 70.2\\\sigma_2 = 6.6\\n_2 = 13$

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

$H_{0}: \mu_1 \geq \mu_2\\H_A: \mu_1 < \mu_2$

Since, the population variances are equal and that the two populations are normally distributed, we use t-test(pooled test) for difference of two means.

Formula:

Pooled standard deviation

$s_p = \sqrt{\displaystyle\frac{(n_1-1)\sigma_1^2 + (n_2-1)\sigma_2^2 }{n_1 + n_2 - 2}}$

$t_{stat} = \displaystyle\frac{\mu_1-\mu_2}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

$\text{Degree of freedom} = n_1 + n_2 - 2$

Putting all the values we get:

$s_p = \sqrt{\displaystyle\frac{(11-1)(3.7)^2 + (13-1)(6.6)^2 }{11 + 13 - 2}} = \sqrt{29.9827} = 5.48$

$t_{stat} = \displaystyle\frac{63.3-70.2}{5.48\sqrt{\frac{1}{11}+\frac{1}{13}}} = -3.073$

$\text{Degree of freedom} = 11 + 13 - 2 = 22$

Now,

$t_{critical} \text{ at 0.05 level of significance, 22 degree of freedom } = -1.717$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.

We conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2.

There is enough evidence to claim that population mean 1 is less than population 2 at the 0.05 significance level.

6 0

3 years ago

Lexus skateboards from his house to school 4 miles away. It takes him 20 minutes.

RoseWind [281]

Answer:

$\displaystyle m = \frac{1}{5}\cdot t$

Step-by-step explanation:

Proportional Model

The number of miles m that Lexus can skateboard in t minutes can be modeled by:

m = kt

It's given that Lexus skateboard from his house to school for a distance of m=4 miles in t=20 minutes.

Substituting:

4 = k.20

Dividing by 20

$k=\frac{4}{20}$

Simplifying:

$k=\frac{1}{5}$

This produces the model

$\displaystyle m = \frac{1}{5}\cdot t$

6 0

3 years ago

Read 2 more answers

Fiona wrote the predicted and residual values for a data set using the line of best fit y=3.71x-8.85. Which statements are true

Sergeeva-Olga [200]

Answer:

answer is 1, 4, 5 (just took the test, those are the answers)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which is the greater rate of change? -1/2 4/1

mote1985 [20]

4/1 is a greater rate of change because it is the same as 4. A whole number will always be greater than a fraction and also the fraction is negative which makes it even smaller than a regular fraction. I hope this answers your question! :)

3 0

3 years ago

Please help NEED NOW thank youuu

dexar [7]

y= -2x + 4 is the answer

6 0

2 years ago

Read 2 more answers