Which of the following statements are true? Select all that apply

What series of transformations map triangle △ABC onto △EDF to prove that ABC≅EDF ?

Nonamiya [84]

Hello!

The correct answer is A translation 3 units up then a reflection across the x-axis.

Translation: moving/sliding a figure
Reflection: taking a figure and flipping it over a line.

7 0

3 years ago

Read 2 more answers

A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon

____ [38]

Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

$H_o : p = 0.05$

Versus

$H_1 : p \ne 0.05$

Use α = 0.05. Find the P-value for the test

Answer:

The p-value is $p-value = 0.5949$

Step-by-step explanation:

From the question we are told that

The sample size is n = 300

The number of defective circuits is k = 13

Generally the sample proportion of defective circuits is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{13}{300}$

=> $\^ p = 0.0433$

Generally the standard Error is mathematically represented as

$SE = \sqrt{\frac{p(1- p)}{n} }$

=> $SE = \sqrt{\frac{0.05(1- 0.05)}{300} }$

=> $SE = 0.0126$

Generally the test statistics is mathematically represented as

$z = \frac{\^ p - p }{SE}$

=> $z = \frac{0.0433 - 0.05 }{0.0126}$

=> $z = -0.5317$

From the z table the area under the normal curve to the left corresponding to -0.5317 is

$(P < -0.5317 ) = 0.29747$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z < -0.5317 )$

=> $p-value = 2 * 0.29747$

=> $p-value = 0.5949$

3 0

3 years ago

HELP PLEASE Which expression is equivalent to:

mojhsa [17]

21 V³ 15- 9V³15

= (21-9)V³15

= 12V³15

4 0

2 years ago

Sarah biked the same distance each day for 6 days. If she traveled 468 kilometers altogether, how many kilometers did she travel

I am Lyosha [343]

76 kilometers per day.

Step by step

468 divided by 6 = 76

76•6=468

8 0

3 years ago

Solve and check the linear equation. 3(x-2) + 8 = 2(x + 5)

ANEK [815]

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3(x - 2) + 8 = 2(x + 5)

Step 2: Solve for x

(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10
Combine like terms: 3x + 2 = 2x + 10
{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10
[Subtraction Property of Equality] Subtract 2 on both sides: x = 8

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)
(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)
Multiply: 18 + 8 = 26
Add: 26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

3 0

2 years ago