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2 years ago

I'll mark BRAINLIEST!

Mathematics

2 answers:

almond37 [142]2 years ago

7 0

Answer:

it becomes a 3 unit hight

Tomtit [17]2 years ago

7 0

I also need
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Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take

Ipatiy [6.2K]

Answer:

a) r = 0.974

b) Critical value = 0.602

Step-by-step explanation:

Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below

Test A | 64 48 51 59 60 43 41 42 35 50 45

Test B | 91 68 80 92 91 67 65 67 56 78 71

To find - (a) What is the value of the linear coefficient r ?

(b) Assuming a 0.05 level of significance, what is the critical value ?

Proof -

r = 0.974

Critical Values for the Correlation Coefficient

n alpha = .05 alpha = .01

4 0.95 0.99

5 0.878 0.959

6 0.811 0.917

7 0.754 0.875

8 0.707 0.834

9 0.666 0.798

10 0.632 0.765

11 0.602 0.735

12 0.576 0.708

13 0.553 0.684

14 0.532 0.661

So,

Critical r = 0.602 for n = 11 and alpha = 0.05

6 0

2 years ago

a rectangle has an area that is represented by 9x²-4. the length of the rectangle is 3x-2. what is the width?

PSYCHO15rus [73]

Step-by-step explanation:

the area is

length × width

(3x - 2) × width = 9x² - 4

to find width we could do a real polynomial division or simply recognize the fact that

(a + b)(a - b) = a² - b²

and we see that in our area calculation we are missing the (a + b) factor.

so, width = (3x + 2)

but if you want the division :

9x² - 4 : 3x - 2 = 3x + 2

- 9x² - 6x

-----------------

0 6x - 4

- 6x - 4

----------------------

0 0

again, width = (3x + 2)

6 0

2 years ago

Suppose that a defined population is all left-handers, and a survey is being

Kryger [21]

Answer: A

Step-by-step explanation:Greg

5 0

2 years ago

Find the derivative.

krek1111 [17]

Answer:

$\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding/Factoring

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle f(x) = \frac{\sqrt{x}}{e^x}$

Step 2: Differentiate

Derivative Rule [Quotient Rule]: $\displaystyle f'(x) = \frac{(\sqrt{x})'e^x - \sqrt{x}(e^x)'}{(e^x)^2}$
Basic Power Rule: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}(e^x)'}{(e^x)^2}$
Exponential Differentiation: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}$
Simplify: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}$
Rewrite: $\displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}$
Factor: $\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0

2 years ago

The table and the graph each show a different relationship between the same two variables, x and y:

Oksanka [162]

1. y₁ = 70x
2. y₂ = 55x

Solve y₁ - y₂ for x = 11.

8 0

3 years ago