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2 years ago

What is the distance between the points (−7, 1) and (−7, −5) on the coordinate plane?

Mathematics

1 answer:

4vir4ik [10]2 years ago

6 0

Answer:

$\displaystyle d = 6$

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify.

Point (-7, 1)

Point (-7, -5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-7 - -7)^2 + (-5 - 1)^2}$
[Order of Operations] Evaluate: $\displaystyle d = 6$

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Complete the ratio 4 : 32 = 1 : ?

zavuch27 [327]

Answer:

1: 8

Step-by-step explanation:

4 : 32

Divide both the left and right side by 4

4/4 =1

32/4 = 8

4:32 becomes 1:8

6 0

3 years ago

Read 2 more answers

Direct mail advertisers send solicitations ("junk mail") to thousands of potential customers in the hope that some will buy the

harina [27]

Answer:

The interval is (.0817, .118).

Step-by-step explanation:

Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.

1. Conditions

First we must check the conditions.

Randomization condition: The sample is given to be random, so we can assume independence.

Success/failure condition: Both np>10 and nq>10 must be met.

np = 1030(103/1030) = 103 ✓
nq = 1030(927/1030) = 927 ✓

10% condition: The sample cannot be greater than 10% of the population.

10n < N, 10(1030) < 200000 ✓

All conditions are met, so we can use a 1-proportion z-interval to represent the data.

2. Mechanics

Find $\hat{p}$ , the sample proportion.

103/1030 = .1

$\hat{q}$ , then, the probability of not p, is 1 - .1 = .9

Find z* (z star), the critical z-value.

You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?

invNorm(.975) = 1.96

Plug values into the equation.

$\hat{p}$ ± z* $\sqrt{\frac{\hat{p}\hat{q}}{n} }$

.1 ± 1.96 $\sqrt{\frac{.1*.9}{1030} }$

.1 ± 1.96(.00935)

.1 - .0183 = .0817

.1 + .0183 = .118

(.0817, .118)

3. Conclusion

Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!

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3 years ago

Chris Johnson earns $34,850 annually as an engineer. She single on sports your father. The state tax rate in her state is 3% of

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Answer: 1,045.50

Step-by-step explanation: hope this helps champ.

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3 years ago

Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?

gtnhenbr [62]

Answer:

Daniel

Step-by-step explanation:

Daniel ran 5000/40=500=4=125 meters in 1 minutes

Andy ran 4550/37=122.9729... some less than 123 meters in second

Daniel was faster than Andy

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3 years ago

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3 years ago