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Genrish500 [490]

2 years ago

5

A drawer contains black socks and white socks. 80% of the socks are white socks. A number generator simulates randomly selecting

10 socks from the drawer. The number generator is used 10 times and the number of white socks in each trial is shown in the dot plot.
Which description is correct about the number generator being fair or not?

2 answers:

Zielflug [23.3K]2 years ago

5 0

D is the righr Answer

Hope this Helpful:)

Kipish [7]2 years ago

4 0

Answer:

Step-by-step explanation:

80% of the socks are white, and each trial selects 10 socks. 80% of 10 is 8, which is what the number generator picked most of the time. So it is fair. The answer is the third option.

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Which of the following expressions represents "no more than 5"?

777dan777 [17]

Answer:

Ox>5

x is less than 5

means nothing more than 5 but anything less than 5

5 0

2 years ago

-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz

vitfil [10]

To graph it, just graph $y=-3^{-x}-6$ and $y=-3^x+10$ and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
$3^{-x}+6=3^x-10$
multiply both sides by $3^x$
$3^0+6(3^x)=3^{2x}-10(3^x)$
$1+6(3^x)=3^{2x}-10(3^x)$
minus 1 from both sides and minus 6(3^x) from both sides
$0=3^{2x}-16(3^x)-1$
use u subsitution
$u=3^x$
we can rewrite it as
$0=u^2-16u-1$
now factor
I mean use quadratic formula
for $ax^2+bx+c=0$ $x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$
so for 0=u^2-16u-1, a=1, b=-16, c=-1
$u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}$
$u=8+/-\sqrt{65}$
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
$u=8+\sqrt{65}=3^x$
$8+\sqrt{65}=3^x$
if you take the log base 3 of both sides you get
$log_3(8+\sqrt{65})=x$
if you use ln then
$ln(8+\sqrt{65})=xln(3)$
then
$\frac{ln(8+\sqrt{65})}{ln(3)}=x$

8 0

2 years ago

Read 2 more answers

Samara is adjusting a satellite because she finds it is not focusing the income radio waves perfectly. The shape of her satellit

gogolik [260]

Answer:

$\boxed{\text{(6, 3)}}$

Step-by-step explanation:

The conic form of the equation for a sideways parabola is

(y - k)² = 4p(x - h)

The focus is at (h + p, k)

The equation of Samara's parabola is

(y - 3)² = 8(x - 4)

h = 4

p = 8/4 = 2

k = 3

h + p = 6

So, the focus point of the satellite dish is at

$\boxed{\textbf{(6, 3)}}$

8 0

1 year ago

mark has a cabinet door in his kitchen with the dimensions shown below. he creates a scale drawing where the width of the cabine

laiz [17]

Answer:

$h^{*} = 25\,in$

Step-by-step explanation:

Let consider that door has a height of 5 feet and a width of 3 feet. The scale factor is:

$n = \frac{15\,in}{3\,ft}$

$n = 5\,\frac{in}{ft}$

The height of the cabinet is:

$h^{*} = n \cdot h_{door}$

$h_{*} = \left(5\,\frac{in}{ft} \right)\cdot (5\,ft)$

$h^{*} = 25\,in$

6 0

2 years ago

Read 2 more answers

Micah and Crystal purchase two movie tickets. Tickets costs $8.50 each, drinks cost $3.50 each, and boxes of candy cost $3.00 ea

AysviL [449]

2t+2d+2c=30

2(8.50)+2(3.50)+2(3.00)=$30

t representing tickets d representing drinks c representing candy

the answer really depends on how much of each item they buy

if they bought more than 2 of each just change the 2 to the number of items bought

8 0

2 years ago