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3 years ago

What units of distance are in the metric system? How are they related?

Mathematics

1 answer:

yaroslaw [1]3 years ago

4 0

Answer:

The most common units of distance In the metric system of measurement, are millimeters, centimeters, meters, and kilometers.

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Find the linear equations written in standard form. Select all that apply. A. x+y=-1 B. -3x = y C. x + 4y = 0 D. y = 5x - 2 E. x

Valentin [98]

<h3>3 Answers: A, C, and F</h3>

All of these equations are in the form Ax+By = C

An equation like x+y = -1 has A = 1, B = 1, C = -1
An equation like x+4y = 0 has A = 1, B = 4, C = 0
An equation like 8x-3y = 20 has A = 8, B = -3, C = 20

6 0

3 years ago

A recent study reported that 73% of Americans could only converse in one language. A random sample of 130 Americans was randomly

castortr0y [4]

Answer:

Probability that 100 or fewer of these Americans could only converse in one language is 0.8599.

Step-by-step explanation:

We are given that a recent study reported that 73% of Americans could only converse in one language.

A random sample of 130 Americans was randomly selected.

Let $\hat p$ = <u><em>sample proportion of Americans who could only converse in one language.</em></u>

The z score probability distribution for sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion of Americans who could only converse in one language = 73%

$\hat p$ = sample proportion = $\frac{100}{130}$ = 0.77

n = sample of Americans = 130

Now, probability that 100 or fewer of these Americans could only converse in one language is given by = P( $\hat p$ $\leq$ 0.77)

P( $\hat p$ $\leq$ 0.77) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.77-0.73}{\sqrt{\frac{0.77(1-0.77)}{130} } }$ ) = P(Z $\leq$ 1.08) = <u>0.8599</u>

The above probability is calculated by looking at the value of x = 1.08 in the z table which has an area of 0.8599.

8 0

3 years ago

1.7.3 Quiz: interacting lines and proofs Question 2 of 10

Kryger [21]

Answer:

C. ∠SOE and ∠DOA

D. ∠EOA and ∠DOS

Step-by-step explanation:

Vertical angles are congruent angles.

From the given figure, the vertical angles are...

∠SOE and ∠DOA

∠EOA and ∠DOS

5 0

1 year ago

Check each relation below that is a direct variation.

guapka [62]

Answer: option A and option D

4 0

3 years ago

The points (1, 7) and (0, 2) fall on a particular line. What is its equation in slope-intercept form?

NARA [144]

Slope-intercept form is y = mx + b

So we can manage to do this:

(y - yo) = m.(x - xo)

Where (x, y) and (xo, yo) are points of this line, this way we can discover the slope.

(7 - 2) = m.(1 - 0)

5 = m

m = 5

So,

y = 5x + b

Now we still have to use (y - yo) = m.(x - xo), but this time we will put only 1 point and the slope.

(y - yo) = m.(x - xo)

(y - 2) = 5.(x - 0)

y - 2 = 5x

y = 5x + 2

So, this is the line in slope-intercept form.

4 0

3 years ago