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3 years ago

I need to know the distance and if your could please tell me the formula for future problems thank you!! ASAP

Mathematics

1 answer:

Ksivusya [100]3 years ago

8 0

Distances in 2- and 3-dimensions (and even higher dimensions) can be found using the Pythagorean theorem. The straight-line distance can be considered to be the hypotenuse of a right triangle whose sides are the horizontal and vertical differences between the coordinates.

Here, you have A = (0, 0) and B = (3, 6). The horizontal distance between the points is ...

... 3 - 0 = 3 . . . . the difference of x-coordinates

The vertical distance between the points is ...

... 6 - 0 = 6 . . . . the difference of y-coordinates

Then the straight-line distance (d) between the points is found from the Pythagorean theorem, which tells you ...

... d² = 3² + 6²

... d = √(9 + 36) = √45 ≈ 6.7 . . . units

You might be interested in

-4(3x – 7) = 52 for x.

AURORKA [14]

Answer:

-2

Step-by-step explanation:

-4(3x – 7) = 52

3x-7= -13

3x= -6

x= -2

5 0

2 years ago

PLEASE HELP ME !!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY

Margarita [4]

Answer:

(8x + 1)° + ( 4x+11)° = 180° (linear pair )

8x +1 + 4x +11 = 180

8x + 4x + 1 + 11 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x= 168/12

x = 14

3 0

2 years ago

a group of friends went to lunch. the bill, before sales tax and tip, was $37.50. a sales tax of 8% was added. the group then ti

valentina_108 [34]

First, there was $37.50.
Then, there was a tax of 8%.
Then, there was a tip of 18%.
Since the tip is after the tax, it's not going to affect it, and we can essentially ignore it.

The real question here is just <em>what is 8% of $37.50?</em>

To find the percent of something, first you need to put the percent as a decimal.

8% in decimal form is 0.08 (If you think about it literally, they're both 8 hundredths)

Finally, just multiply the percent in decimal form by the number.

37.50 dollars × 0.08 = 3 dollars.<em />

6 0

2 years ago

Read 2 more answers

Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa

blagie [28]

Answer:

$z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9$

$p_v =P(z>1.9)=0.0287$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=12.95$ represent the sample mean

$\sigma=3$ represent the population standard deviation for the sample

$n=36$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:

Null hypothesis: $\mu \leq 12$

Alternative hypothesis: $\mu > 12$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9$

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>1.9)=0.0287$

Conclusion

4 0

3 years ago

Read 2 more answers

Which real-world scenario involves a right triangle?

alexira [117]

Putting a ladder up against a straight wall. The sides of the triangle are:
1: the ladder
2: the walls
3: the ground from the wall to the ladder

5 0

2 years ago