Which postulates are used to find the perimeter of a shape?

If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on average, how many do

drek231 [11]

Randy sells, in average, 460 vacuum cleaners per month.

<h3>How many vacuum cleaners does Randy sell each month?.</h3>

First, we know that Janice sells 690 units per year.

There are 12 months in a year, so the amount that she sells, in average, per month is:

J = 690/12 = 57.5

This means that Janice sells, in average, 57.5 units per month. And Randy sells 8 times as many, then we can solve the product:

R = 8*57.5 = 460

This means that Randy sells 460 units per month.

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7 0

2 years ago

1

otez555 [7]

Answer:

20°

Step-by-step explanation:

$arc \: length = \frac{ \theta}{360 \degree} \times circumference \\ \\ \frac{1}{3} = \frac{ \theta}{360 \degree} \times 6 \\ \\ \theta = \frac{360 \degree}{18} \\ \\ \theta =20 \degree$

8 0

2 years ago

What are three ratios equal to 4 over 28 .simplify if needed?

SVETLANKA909090 [29]

4/28 = 1/7 when dividing both numerator & denominator by 4 and this would be the simplified fraction.

You could use 1/7 to multiply with others to get other ratios that are equal to 4/28 or you could just use 4/28.

For example:
1/7 = 7/49
or
4/28 = 8/56

6 0

3 years ago

If exactly 194 people sign up for a charter flight, Leisure World Travel Agency charges $312/person. However, if more than 194 p

maw [93]

Title:

<h2>The revenue will be maximum for 253 passengers.</h2>

Step-by-step explanation:

Let, the number of passenger is x, which is more than 194.

In this case, the travel agency will charge [312 - (x - 194)] per passenger.

The total revenue will be $x[312 - (x - 194)] = 506x - x^{2}$ .

As x is the variable here, we can represent the revenue function by R(x). Hence, $R(x) = 506x - x^{2}$ .

The revenue will be maximum when $\frac{d (506x - x^{2} )}{dx} = 0\\2x = 506\\x = 253$ .

6 0

2 years ago

Ten samples were taken from a plating bath used in an electronics manufacturing process, and the bath pH was determined. The sam

Korolek [52]

Answer:

There is no sufficient evidence to support the claim.

Step-by-step explanation:

Given the data:

7.91, 7.85, 6.82, 8.01, 7.46, 6.95, 7.05, 7.35, 7.25, 7.42

Sample size, n = 10

The sample mean, xbar = ΣX/ n = 74.07 / 10 = 7.407

The sample standard deviation, s = 0.41158 ( from calculator)

The hypothesis :

H0 : μ = 7

H0 : μ ≠ 7

The test statistic :

(xbar - μ) ÷ (s/√(n))

(7.047 - 7) ÷ (0.41158/√(10))

0.047 / 0.1301530

Test statistic = 0.361

Testing the hypothesis at α = 0.05

The Pvalue ;

df = n - 1 ; 10 - 1 = 9

Two tailed test

Pvalue(0.361, 9) = 0.7263

Since the Pvalue > α ; we fail to reject the Null and conclude that there isn't sufficient evidence to support the claim.

4 0

2 years ago