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4 years ago

Distance between (-6, -9) and (-20, -57)

Mathematics

1 answer:

Paul [167]4 years ago

7 0

Answer:

Step-by-step explanation:

(-20,-57)-(-6,-9)=(-26,-66)

-26+-66=-92

|-92|

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The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the

Goshia [24]

Answer:

The passing score is 645.2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 553, \sigma = 72$

If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 553}{72}$

$X - 553 = 1.28*72$

$X = 645.2$

The passing score is 645.2

6 0

3 years ago

The ratio of the number of circles to the number of triangles in simplest form is 2:14

Sauron [17]

Answer: 2

There are 10 triangles, that represent the number 2. There are 8 circles, that represents the number 1. To make this 1:1, we must add 2 circles.

10:10 = 1:1

The answer to the question is 2 circles.

Hope this helps you!

3 0

3 years ago

G(n)=-n^3+3n^2, find g(-4)

Sauron [17]

Answer:

g(-4) = 112

Step-by-step explanation:

Hi there!

$g(n)=-n^3+3n^2$

To find g(-4), replace all n's with -4:

$g(-4)=-(-4)^3+3(-4)^2\\g(-4)=-(-64)+3(16)\\g(-4)=64+48\\g(-4)=112$

I hope this helps!

5 0

3 years ago

9/2 = k/25 need a step by step answer please

german

Answer: k=225/2
Decimal form: k= 112.5
Mixed number form: k=112 1/2

4 0

3 years ago

HELP ASAP photo attached

ankoles [38]

Answer:

D. undefined

General Formulas and Concepts:

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Trig Derivative: $\displaystyle \frac{d}{dx}[sinu] = u'cosu$

Derivatives of Parametrics: $\displaystyle \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}$

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{dx}{dt} = 5$

$\displaystyle \frac{dy}{dt} = sin(t^2)$

Step 2: Differentiate

[x Derivative] Basic Power Rule: $\displaystyle \frac{d^2x}{dt^2} = 0$
[y Derivative] Trig Derivative [Chain Rule]: $\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot \frac{d}{dt}[t^2]$
[y Derivative] Basic Power Rule: $\displaystyle \frac{d^2y}{dt^2} = cos(t^2) \cdot 2t^{2 - 1}$
[y Derivative] Simplify: $\displaystyle \frac{d^2y}{dt^2} = 2tcos(t^2)$
[Derivative] Rewrite: $\displaystyle \frac{d^2y}{dx^2} = \frac{2tcos(t^2)}{0}$

Anything divided by 0 is undefined.

Topic: AP Calculus BC (Calculus I/II)

Unit: Differentiation with Parametrics

Book: College Calculus 10e

5 0

3 years ago