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2 years ago

What is the slope of a line that is perpendicular to a line whose slope is -1/3.

Mathematics

1 answer:

solniwko [45]2 years ago

6 0

Answer:

Step-by-step explanation:

the perpendicular slope is the negative reciprocal.

-1 divided by -1/3 = 3

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Which statement about rational numbers is true?

Ilya [14]

Answer:

im not to good at math but im pretty sure that its 1. all rational numbers ae fractions

Step-by-step explanation:

6 0

2 years ago

Craig made a mobile using geometric shapes including triangles shaped as shown. For what value of X and Y can you use a triangle

PolarNik [594]

Answer:

x = 3

y = 8

Step-by-step explanation:

In the given triangle FGH,

m∠F + m∠G + m∠H = 180° [Triangle sum theorem]

60° + 90° + m∠H = 180°

m∠H = 30°

If the given triangles FGH and TUV are congruent, their corresponding sides will be equal in measure.

m∠F = m∠T

7y + 4 = 60°

7y = 56

y = 8

GH ≅ UV

8x - 12 = 12

8x = 24

x = 3

4 0

2 years ago

Suppose a simple random sample of size nequals36 is obtained from a population with mu equals 74 and sigma equals 6. (a) Descri

OlgaM077 [116]

Part a)

The simple random sample of size n=36 is obtained from a population with

$\mu = 74$

and

$\sigma = 6$

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

Therefore the sampling distribution has a mean of

$\mu = 74$

The standard error of the means becomes the standard deviation of the sampling distribution.

$\sigma_ { \bar X } = \frac{ \sigma}{ \sqrt{n} } \\ \sigma_ { \bar X } = \frac{ 6}{ \sqrt{36} } = 1$

Part b) We want to find

$P(\bar X \:>\:75.9)$

We need to convert to z-score.

$P(\bar X \:>\:75.9) = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: 1.9) \\ = 0.0287$

Part c)

We want to find

$P(\bar X \: < \:71.95)$

We convert to z-score and use the normal distribution table to find the corresponding area.

$P(\bar X \: < \:71.95) = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: - 2.05) \\ = 0.0202$

Part d)

We want to find :

$P(73\:$

We convert to z-scores and again use the standard normal distribution table.

$P( \frac{73 - 74}{1} \:< \: z$

5 0

2 years ago

I need help plz help me its due tomorrow

BigorU [14]

A blue whale weighs more than an African elephant by 111.5 tons

African elephant= 15,000/2,000= 7.5 tons

Blue whale weighs 238,000/2,000=
119 tons

119-7.5 = 111.5 tons

8 0

2 years ago

The owner of a small store buys coats for $45.00 each. Answer parts a and b. a. He sells the coats for $63.00 each. What perce

irga5000 [103]

Answer:

The purchase price is 71.4% of the sale price.

Step-by-step explanation:

1) 45 / 63 = 0.714

2) 0.714 * 100 = 71.4%

I didn't see part B.

7 0

2 years ago