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Anni [7]
3 years ago
14

What is the constant variation, k, of the direct variation, y= kx, through (-3,2)

Mathematics
1 answer:
eduard3 years ago
6 0

Answer:

k = -2/3

Step-by-step explanation:

y = kx

plug in the x,y values

2 = k(-3)

divude both sides by-3

-2/3 = k

k = -2/3

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Each of the three oldest children sleeps in a twin bed. They all need bed sheets.A brand of sheets is on sale for "but one get o
ludmilkaskok [199]

50% of 18 = 9

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6/2=3

27 x 3 = 81 for 6 sheets

7 0
3 years ago
Randomly selected students participated in an experiment to test their ability to determine when one minute​ (or sixty​ seconds)
zalisa [80]

Answer: (57.41,\ 62.19)

Step-by-step explanation:

Given : Sample size : n=40

Sample mean : \overline{x}=59.8\text{ seconds}

Standard deviation : \sigma =9.2\text{ seconds}

Significance level : \alpha=1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

Formula to find the confidence interval for population mean :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)

Hence, a 90​% confidence interval estimate of the population mean of all students = (57.41,\ 62.19)

6 0
3 years ago
The recursive rule for a geometric sequence is given.
barxatty [35]
Answer: The explicit rule for the geometric sequence is:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...

Solution:

a1=2/5
an=5 (an-1)

n=2→a2=5 (a2-1)= 5 (a1)= 5 (2/5)→a2= (2/5) (5)
n=3→a3= 5 (a3-1)= 5 (a2)= 5 [(2/5) (5)]=(2/5) (5)^(1+1)→ a3=(2/5) (5)^2
n=4→a4= 5 (a4-1)= 5 (a3)= 5 [(2/5) (5)^2]= (2/5) (5)^(2+1)→ a4=(2/5) (5)^3

a1=2/5=(2/5) (1)=(2/5) (5)^0→a1=(2/5) (5)^(1-1)
a2=(2/5) (5)=(2/5) (5)^1→a2=(2/5) (5)^(2-1)
a3=(2/5) (5)^2→a3=(2/5) (5)^(3-1)
a4=(2/5) (5)^3→a4=(2/5) (5)^(4-1)

Then:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...
5 0
3 years ago
Read 2 more answers
Evaluate Dx. <br><br> -4x + 7y = 1<br> 25 = 2x +5 y <br><br> Dx = ?
inna [77]
Answer: 7

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5 0
3 years ago
my name is nyasia langley an my fravorite subject is math an it really easy but not with my math teacher miss dukes
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Il be glad to help you !!!
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