One-Step Equations Solve each equation 1) 26 = 8+

A yogurt company claims that it prints a free yogurt coupon under a randomly selected 20% of its lids. A loyal customer purchase

Alona [7]

Answer:

The customer can conclude that the company's claim is correct

Step-by-step explanation:

The percentage of lids that has a free yogurt coupon = 20%

The number of cups a loyal customer purchases = 85 yogurt cups

The number of cups that contained a coupon = 12 (14.1%)

The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes

The interval obtained = (0.044, 0.238)

Therefore, the range of proportion within which the true proportion exists is 0.044 < $\hat p$ < 0.238

The range of percentage within which the true percentage exist is therefore;

0.044 × 100 = 4.4% < $\hat p$ × 100 < 0.238 × 100 = 23.8%

Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.

4 0

2 years ago

Express 78 billion in scientific notation

ryzh [129]

Answer:

$7.8 * 10^{10}$ is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

$a * 10^{b}$ -------->(equation 1)

Let, $a^{'} = 78 billion$

$a^{'} = 78000000000$

$a^{'} = 78000000000.0$

In standard form

$a = 7.8000000000$

or

$a = 7.8$

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

$7.8 * 10^{10}$ is scientific notation of 78 billion

6 0

3 years ago

Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

grandymaker [24]

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

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

Identify

5(x + 2) = 6x + 3x - 14

Step 2: Solve for x

[Addition] Combine like terms: 5(x + 2) = 9x - 14
[Distributive Property] Distribute 5: 5x + 10 = 9x - 14
[Subtraction Property of Equality] Subtract 9x on both sides: -4x + 10 = -14
[Subtraction Property of Equality] Subtract 10 on both sides: -4x = -24
[Division Property of Equality] Divide -4 on both sides: x = 6

3 0

2 years ago

I will upvote please help with finals exam question

Romashka-Z-Leto [24]

In mixed form, It is write as: Quotient Remainder / Divisor

So, compare it with 2 1/2
Quotient = 2

In short, Your Answer would be 2

Hope this helps!

4 0

3 years ago

The population of a city in the year 2000 was 500,000. Over the following decade the population

AlekseyPX

Answer:

The closest thing I could get was 540 000

8 0

3 years ago