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3 years ago

11

Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be use

d to simulate the random sampling of dentists who prefer this fluoride toothpaste?

1 answer:

Readme [11.4K]3 years ago

7 0

Answer:

eddfdgdccggģdffcdrrfxddxcvgfx

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What is the expression if you for 45 minutes a day

dezoksy [38]

The question is unclear.

5 0

3 years ago

Sammie and Joel invest their money with the Grabitall Bank.

AlekseyPX

a) Sammie earns
£320×4% = £12.80
each year.

Joel earns
£420×3% = £12.60
each year.

Sammie earns the most interest.

b) Joel's interest after 5 years is
£12.60×5 = £63
so the total amount of money Joel will have is
£420 +63 = £483

5 0

3 years ago

Ayuda :c aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Elan Coil [88]

Answer:

1) 2x^4/343

2) 2x^6/225

3) 2x^12/25

4) 5x^20/16807

Step-by-step explanation:

Hope this helps!

3 0

3 years ago

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

6 0

3 years ago

Zoya sells insurance. She earns $10,25/hour and 8% commission on all her sales. Last week

Vlad1618 [11]

Answer:

$523.39

Explanation:

10.25 x 35 hours= 358.75

2058 x 8/100 = 164.64

358.75 + 164.64 = 523.39

8 0

2 years ago