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4 years ago

If |c| = 9, then which are possible values of c?

Mathematics

2 answers:

maksim [4K]4 years ago

6 0

B and C. If the answer 9 it means c is |-9| because the absolute value of a negative number is its opposite.

Debora [2.8K]4 years ago

3 0

$|c|=9\\
c=-9 \vee c=9$

B and C

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julian want to buy a new ipod that costs $220. he goes into a store and sees that it is on sale and has a 35% discount. he will

tigry1 [53]

Answer:

The final cost for him is;

$\text{ \$154.44}$

Explanation:

Given that the ipod costs $220;

$C=\text{ \$220}$

The store gives a 35% discount, which means he will only pay 65% of the original cost;

$100\text{\%- 35\% = 65\%}$

The store price is;

$\begin{gathered} P=\text{ 65\% of \$220} \\ P=\frac{65}{100}\times\text{ \$220} \\ P=\text{ \$143} \end{gathered}$

Also he will need to pay additional 8% sales tax on the discounted price P;

$\begin{gathered} t=8\text{\% of P} \\ t=8\text{\% of \$143} \\ t=\frac{8}{100}\times\text{ \$143} \\ t=\text{ \$11.44} \end{gathered}$

The final cost he need to pay is the sum of the discounted price and the sales tax;

$\begin{gathered} F=P+t \\ F=\text{ \$143 + \$11.44} \\ F=\text{ \$154.44} \end{gathered}$

Therefore, the final cost for him is;

$\text{ \$154.44}$

5 0

2 years ago

A rectangular parking lot is 120 feet long and 75 feet wide. Diego made another scale drawing of the parking lot at a scale of 1

andrew11 [14]

Answer:

We kindly invite you to read carefully the explanation detailed below for further details.

Step-by-step explanation:

At first we understand that Diego converted length and wide units from feet to inches ( $1\,ft = 12\,in$ ) and then he divided each term by 180, since he was using a reduction scale, so that rectangular parking lot can be represented on paper. That is:

Step 1 - Unit conversion:

$l = 120\,ft$ ( $l$ - Length)

$l = 120\,ft\times \frac{12\,in}{1\,ft}$

$l = 1440\,in$

$w = 75\,ft$ ( $w$ - Width)

$w = 75\,ft\times \frac{12\,in}{1\,ft}$

$w = 900\,in$

Step 2 - Applying scaling:

$l' = \frac{l}{180}$ ( $l'$ - Scaled length)

$l' = \frac{1440\,in}{180}$

$l' = 8\,in$

$w' = \frac{w}{180}$ ( $w'$ - Scaled width)

$w' = \frac{900\,in}{180}$

$w' = 5\,in$

6 0

4 years ago

Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De

Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable X represent the time a child spends waiting at for the bus as a school bus stop.

The random variable X is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is, $\lambda=\frac{1}{\mu}=\frac{1}{7}$ .

The probability density function of X is:

$f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0$

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

$P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx$

$=\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148$