2. Triangle ABC is similar to triangle PQR. Which statement is not always true?

A recent poll of 120 randomly selected adults who frequent the local farmer's market found that 54 have purchased reusable clot

Olenka [21]

Answer:

95% Confidence interval: (0.361,0.539)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 120

Number of farmers who reusable cloth bags, x = 54

$\hat{p} = \dfrac{x}{n} = \dfrac{54}{120} = 0.45$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

Putting the values, we get:

$0.45\pm 1.96(\sqrt{\dfrac{0.45(1-0.45)}{120}}) = 0.45\pm 0.089\\\\=(0.361,0.539)$

is the required 95% confidence interval for the proportion of adults who have purchased reusable cloth bags.

3 0

3 years ago

Solve systems of equations for y and x: −5y + 8x = −18 5y + 2x = 58

Natali5045456 [20]

Answer:

(4, 10)

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

Coordinates (x, y)
Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5y + 8x = -18

5y + 2x = 58

Step 2: Solve for x

Elimination

Combine 2 equations: 10x = 40
[Division Property of Equality] Divide 10 on both sides: x = 4

Step 3: Solve for y

Substitute in x [Original equation]: -5y + 8(4) = -18
Multiply: -5y + 32 = -18
[Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
[Division Property of Equality] Divide -5 on both sides: y = 10

7 0

3 years ago

How do you multiply decimals

Alchen [17]

Answer:

multiply them like you normally would and add up the decimal places, then place ur decimal.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

You can use the formula C=59(F−32), to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What

iogann1982 [59]

C = 5/9(F - 32)
F = 62

C = 5/9(62 - 32)
C = 5/9(30)
C = 150/9
C = 16.7 <===

3 0

3 years ago

Help please! 10 points!

NISA [10]

Let's assume

number of chairs =x

number of tables =y

we are given

Gavin builds furniture for a living. he Sells chairs for $45 and tables for $70 each

So, we can find objective function as

$Z=45x+70y$

now, we can find inequalities

A table requires 10 hours and $15 worth of supplies to make

so, total hours to make table =10y

amount spent on table =15y

It takes Gavin 4 hours and $10 worth of supplies to build each chair

so, total hours to make chair =4x

amount spent on chair =10x

total number of hours to make chair and table =4x+10y

Gavin wants to work for no more than 40 hours per week

so, we get

$4x+10y\leq 40$

spend no more than $80 on materials

so, we get

$10x+15y\leq 80$

so,

objective function:

$Z=45x+70y$

Constraints:

$4x+10y\leq 40$

$10x+15y\leq 80$

7 0

2 years ago