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3 years ago

A Girl Scout troop is placing markers every 16 meters along a trail. How many kilometers apart are the markers

Mathematics

1 answer:

Makovka662 [10]3 years ago

3 0

Answer:

.016 kilometers

Step-by-step explanation:

A kilometer is 1000 meters. Divide the length of the markers by 1000 (16/1000) and you get the answer of .016 kilometers.

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Which is the slope of the line y= -3x + 2?

zavuch27 [327]

Answer:

slope is m

y = mx + b is your standard formula

slope = -3

Step-by-step explanation:

7 0

3 years ago

ian went away for 6 days to space camp.his parents received 12 emails from him while he was away.what is the rate of ians emails

Lena [83]

Answer:

2 mails everday

Step-by-step explanation:

5 0

2 years ago

In this exercise, we are conducting many hypothesis tests to test a claim. Assume that the null hypothesis is true. If 400 tests

Brums [2.3K]

Answer:

Since the null hypothesis is true, finding the significance is a type I error.

The probability of the year I error = level of significance = 0.05.

so, the number of tests that will be incorrectly found significant is computed as follow: 0.05 * 100 = 5

Therefore, 5 tests will be incorrectly found significant given that the null hypothesis is true.

3 0

3 years ago

Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

Find the slope of a line perpendicular to Y= -x -1

ad-work [718]

<h2>Greetings!</h2>

Answer:

The slope is 1.

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -x, or -1x, the slope of this line is -1

When finding the slope of a line perpendicular, you need to find the $\frac{-1}{slope}$

So, in this case it is:

$\frac{-1}{-1}$

The minuses cancel out, leaving with 1 over 1 or 1/

So the slope of the line perpendicular is 1!

<h2>Hope this helps!</h2>

8 0

3 years ago