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3 years ago

9

Last week, a skate shop originally sold a skateboard for $120. Today, there is a sale and the same skateboard costs $96. What is

the percentage of the discount?

1 answer:

Alex Ar [27]3 years ago

8 0

80%. That is the answer

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In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the mea

Kazeer [188]

Answer:

$Mean = 344$

Step-by-step explanation:

Given

$Population = 1013$

Let p represents the proportion of those who worry about identity theft;

$p = 66\%$

Required

Mean of those who do not worry about identity theft

First, the proportion of those who do not worry, has to be calculated;

Represent this with q

In probability;

$p + q = 1$

Make q the subject of formula

$q = 1 - p$

Substitute $p = 66\%$

$q = 1 - 66\%$

Convert percentage to fraction

$q = 1 - 0.66$

$q = 0.34$

Now, the mean can be calculated using:

$Mean = nq$

Where n represents the population

$Mean = 1013 * 0.34$

$Mean = 344.42$

$Mean = 344$ (Approximated)

3 0

3 years ago

On a circle of radius 10 feet, what angle would subtend an arc of length 1 feet?

Alenkasestr [34]

$\bf s=\cfrac{r\theta \pi }{180}\quad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}\\
s=\textit{arc's length}\\
--------------\\
r=10\\
s=1
\end{cases}
\\\\\\
1=\cfrac{10\cdot \theta\cdot \pi }{180}\impliedby \textit{solve for }\theta$

6 0

3 years ago

Christa went shopping for back-to-school clothes. Before the tax was added on, her total was $176. If the sales tax is 6%, what

deff fn [24]

Answer:

$10.56

Step-by-step explanation:

Cross multiply and divide!

if the total cost is $176, multiply by the % of sales tax and divide by 100 (100%)

176 multiplied by 6% = 1,056

1,056 divided by 100% = $10.56

6 0

3 years ago

Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

3 0

2 years ago

Find the equation to the line below. (Picture)

Simora [160]

Y = 4/5x - 1 rise over run and when x = 0 y = -1

5 0

3 years ago