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fiasKO [112]
3 years ago
10

What is the image of (−4,−12) after a dilation by a scale factor of 1/4 centered at the origin?

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

Answer:

It would be (-1,-3)

Step-by-step explanation:

All you have to do is divide your point by 4, since it's a fractions. If it's not, multiply.

-4 / 4 = -1

-12 / 4 = -3

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A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of
AleksAgata [21]

Answer:

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

This means that n = 50, \pi = \frac{32}{50} = 0.64

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

8 0
3 years ago
Four and seventy-two thousandths
erica [24]

Answer:

4.072

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the trinomial factor of 20t^2-13tv-15v^2
lapo4ka [179]
20t² - 13tv - 15v²
20t² - 25tv + 12tv - 15v²
(5t + 3v)(4t - 5v)
8 0
3 years ago
Sketch and write the equation for each line : y = mx<br> +b
snow_lady [41]

Answer:

equation  y =7/4x+1

slope = 7/4

Step-by-step explanation:

We have two points so we can find the slope

m =(y2-y1)/ (x2-x1)

   = (4--3)/(2--2)

  = (4+3) / (2+2)

   = 7/4

We know the slope and the y intercept

We can write the equation using y = mx+b where m is the slope and b is the y intercept

y= 7/4x +1

We put at dot at (0,1) and then go up 7 and to the right 4 .  We put another dot

Connect the dots and we have our line.

We could also put dots at (-2,-3) and (2,4) and connect the dots.

7 0
3 years ago
An archaeologist earns $9147 monthly. Determine the amount he is paid annually.
Mnenie [13.5K]
$9147 x 12 =190,764
12 is how many months there is in a year
4 0
3 years ago
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