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umka21 [38]
3 years ago
5

A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 57 legs. He could have made legs for how man

y 3-legged stools?
Mathematics
2 answers:
nikdorinn [45]3 years ago
8 0
He could have made 19 stools. 57/3 =19
Effectus [21]3 years ago
6 0
He could have made legs for 19 three legged stools.
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A store opens at 8am. From 8 until 10 customers arrive at a Poisson rate of four an hour. Between 10 and 12, they arrive at a Po
SVETLANKA909090 [29]

Answer:

The probability distribution of the number of customers that enter the store on a given day is:

P(x=k)=\frac{57^ke^{-57}}{k!}

Step-by-step explanation:

To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.

This can be done with the data given:

1) From 10 to 12, 8 arrival/hour:  16 expected arrivals in this period

2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.

3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.

The total expected arrivals in a day are: 16+20+21=57 arrivals/day.

Then, the probability distribution of the number of customers that enter the store on a given day is:

P(x=k)=\frac{57^ke^{-57}}{k!}

5 0
3 years ago
What two numbers can be multiplied to be -150 and added to be 5
pav-90 [236]
Xy = -150
x + y = 5

     x + y = 5
x - x + y = -x + 5
           y = -x + 5

                                                       xy = -150
                                             x(-x + 5) = -150
                                         x(-x) + x(5) = -150
                                               -x² + 5x = -150
                                     -x² + 5x + 150 = 0
                       -1(x²) - 1(-5x) - 1(-150) = 0
                                  -1(x² - 5x - 150) = 0
                                               -1            -1
                                        x² - 5x - 150 = 0
                                        x = -(-5) ± √((-5)² - 4(1)(-150))
                                                                2(1)
                                        x = 5 ± √(25 + 600)
                                                         2
                                        x = 5 ± √(625)
                                                     2
                                        x = 5 ± 25
                                                 2
                                        x = 2.5 ± 12.5
                                        x = 2.5 + 12.5    or    x = 2.5 - 12.5
                                        x = 15          or          x = -10

    x + y = 5
  15 + y = 5
- 15      - 15
          y = -10
    (x, y) = (15, -10)

            or

    x + y = 5
 -10 + y = 5
+ 10    + 10
           y = 15
    (x, y) = (-10, 15)

The two numbers that add up to 5 and multiply to -150 are 15 and -10.
8 0
3 years ago
Item 3
Sonja [21]

Answer:

0 to 900

Step-by-step explanation:

The three ordered pairs, (0, 250), (5, 575), and (10, 900) for the equation,

y = 65x + 250

imply that the y-axis should range from 0 to 900. The y-values from the ordered pairs are; 250, 575 and 900

4 0
2 years ago
Suppose you want to estimate the proportion of polydactyl cats (cats with extra toes). You sample 419 randomly selected cats, an
german

Answer:

No. When all you want to do is estimate a population parameter, you should construct a confidence interval.

Step-by-step explanation:

In this case, there is no other prior estimation about the population to test (a hypothesis to nullify). The only thing you can do is construct a confidence interval of the proportion, where the standard deviation can be calculated in function of the proportion and the sample size.

The right answer is E: "No. When all you want to do is estimate a population parameter, you should construct a confidence interval."

6 0
3 years ago
Cellular phone service that charges per-minute will charge $70 for 270 minutes. How much would 1260 minutes cost? Round your ans
gulaghasi [49]
$70 = 270 min
x = 1260 min
Where x is the charge of phone service per 1260 min.

Cross multiply:
1260 * 70 = 270 * x
88200 = 270x
88200/270 = x
x = 326.67

The total charge of cellular phone service for 1260 min is $326.67
6 0
2 years ago
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