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3 years ago

George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks?

1 answer:

6 0

First convert the 15 minutes to seconds
60 sec-= 1 minute
900 sec = 15 minutes

ratio and proportion

85 blinks/900 sec= 51 blinks/ x seconds

cross multiply
85x=45900
divide by 85
x= 540 seconds
hope this helps

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An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table. A 4-c

Kaylis [27]

Answer:

d. About one-fourth of the cable-television customers are not satisfied.

Step-by-step explanation:

There are 3,141 customers in total, of which 2,032 are internet customers and 1,109 are cable customers.

There are 2,644 satisfied customers, of which 1,820 are internet customers and 824 are cable customers.

There are 497 not satisfied customers, of which 212 are internet customers and 285 are cable customers.

Which statement about the two-way frequency table is true?

a. The survey represents quantitative data.

It is the satisfaction of the customers with the service provided, so it is qualitative data.

b. There is a greater percentage of Internet customers who are not satisfied than cable television customers who are not satisfied.

There are 2,032 internet customers, of which 212 are not satisfied. So 212/2,032 = 10.42% of internet customers are not satisfied.

There are 1,109 cable customers, of which 285 are not satisfied. So 285/1,109 = 25.70% of cable customers are not satisfied.

This statement is not true.

c. About half of the video customers surveyed are cable-television customers.

Of the 3,141 customers surveyed, 1,109 are cable customers. This is 1109/3141 = 35.31%.

This statement is not true.

d. About one-fourth of the cable-television customers are not satisfied.

There are 1,109 cable customers, of which 285 are not satisfied. So 285/1,109 = 25.70% of cable customers are not satisfied.

This is the true statement.

3 0

3 years ago

Read 2 more answers

The average daily high temperature in Seattle is modeled by the function T = –15 cos(πm/6)+ 61, where T is the temperature in °F

Sliva [168]

Answer:

$m = 6$

Step-by-step explanation:

$T = -15cos(\frac{\pi m}{6}) +61$

$76 = -15cos(\frac{\pi m}{6}) +61$

$76-61 = -15cos(\frac{\pi m}{6})$

$15 = -15cos(\frac{\pi m}{6})$

$\frac{15}{-15} = cos(\frac{\pi m}{6})$

$-1 = cos(\frac{\pi m}{6})$

$cos^{-1}( -1) = \frac{\pi m}{6}$

$\pi = \frac{\pi m}{6}$

$6\pi = \pi m$

$m = 6$

7 0

2 years ago

Dude is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25

pshichka [43]

Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

<u>Step-by-step explanation:</u>

Step 1:

Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

Step 2:

Form an equation using the above information.

⇒ 9x + 5.25 (12-x) = 12 × 7.75

⇒ 9x + 63 - 5.25x = 93

⇒ 9x - 5.25x = 30

⇒ 3.75x = 30

⇒ x = 8

Number of macadamia nuts is 8 pounds.

Step 3:

Calculate number pounds of almonds

⇒ Number of pounds of almonds = 12 - x = 4 pounds.

5 0

3 years ago

Find the Exponential Regression using the table. Write the initial amount, common ratio, and equation for the table.

Ipatiy [6.2K]

Answer:

Initial amount;

2110.6

Common ratio;

0.0201

Equation;

$y=2110.6e^{0.0201x}$

Step-by-step explanation:

In this scenario, the month represents the independent variable x while the membership amount represents the dependent variable y.

The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.

The Ms. Excel output is shown in the attachment below. To obtain the initial amount we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.

7 0

3 years ago

Solve this equation: 3x-1/5-2/9x=124/5

Vaselesa [24]

Well, you can only combine the numbers with the variable (the x) in front of them, since there’s no other number on the left side of the equation to combine that lone number with

(example: 3x+2+5x; you can only add 3x and 5x together since 2 has no x).

So 3x and -2/9x would be your answer.

6 0

3 years ago