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3 years ago

Find the equation of a line that is perpendicular to y = (1/6)x + 4 and passes through the point (3, 8).

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Answer: y=-6x+26

Step-by-step explanation: We can find the slope of a line that is perpendicular to another line by taking the negated reciprocal of the slope of the original line. So our slope for the perpendicular line is: -6. Now we can put this in a equation to find the y-intercept. So the equation is y=-6x+26

patriot [66]3 years ago

7 0

Answer:

Step-by-step explanation:

Answer: y=26−6x

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Franco and Marcia getting high speed Internet access at the same time. Francos provider charges $60 for installation and $42.95

In-s [12.5K]

Answer:

4 months

Step-by-step explanation:

Franco's provider = 60 + 42.95x

Marshal's provider = 57.95x

Where,

x = number of months

Equate both charges

Franco's provider = Marshal's provider

60 + 42.95x = 57.95x

Subtract 42.95x From both sides

60 + 42.95x - 42.95x = 57.95x - 42.95x

60 = 15x

Divide both sides by 15

60 / 15 = 15x / 15

4 = x

x = 4 Months

Franco and Marshal would have paid the same amount for high-speed Internet service after 4 months

7 0

3 years ago

The following data points represent the diagonal length (in centimeters) of each television at Electronic

tresset_1 [31]

Answer:

55, 27,56, 24, 41, 42, 60, 65

Step-by-step explanation:

4 0

3 years ago

The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time

pickupchik [31]

Answer:

$N_c \approx 5.0$

Step-by-step explanation:

From the question we are told that:

Waiting time for a container of the wheels during production $T_w=0.25day$

Average processing time is $T_a=0.15 day per container$

Wheel per container $N_w=200$

Total wheel per day $D=2000$

Policy variable of $X=5%$

Generally the equation for Total number of container $N_c$ is mathematically given by

$N_c=DT(\frac{1+X}{N_w} )$

Where

Total time $T=T_w+T_a$

$T=0.15+0.25$

Therefore

$N_c=DT(\frac{1+X}{N_w} )$

$N_c=2000*0.40(\frac{1+0.5}{200} )$

$N_c=(\frac{840}{200} )$

$N_c=4.2$

$N_c \approx 5.0$

Therefore the number of Kanban containers needed for the wheels is

$N_c \approx 5.0$

3 0

3 years ago

A Rasmussen Reports survey of 1,000 US adults found that 42% believe raising the minimum wage will help the economy. Construct a

vitfil [10]

Answer:

(0.3798, 0.4602)

Step-by-step explanation:

Let p be the true proportion of US adults who believe raising the minimum wage will help the economy. A point estimate for p is $\hat{p}=0.42$ and a good aproximation (because we have a large sample) for the standard deviation of $\hat{p}$ is $\sqrt{\hat{p}(1-\hat{p})/n}=\sqrt{0.42(0.58)/1000}=0.0156$ . Therefore, a 99% confidence interval for p is given by $\hat{p}\pm z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$ where $\alpha=0.01$ and $z_{\alpha/2}$ is the $\alpha/2$ th quantile of the standard normal distribution, so we have, $0.42\pm z_{0.005}0.0156$ , i.e., $0.42\pm(-2.5758)(0.0156)$ or equivalently (0.3798, 0.4602).