Solve |3x - 4| = 6 A. {-10/3, 10/3} B. {-2/3, 10/3} C. {-2/3, 2/3}

Meg has saved up $350 to purchase a new TV from the local store. The sales tax in her county is 5% of the sticker price. Write a

Sergio [31]

For this case we have:

Let p be the highest price of the TV that Meg can buy

We have to:

5% of p is given by:

$0.05p$

So, we have:

$p + 0.05p = 350$

Clearing p we have:

$1.05p = 350$

$p=\frac{350}{1.05}\\p=333.33$

Thus, the highest price of the television that Meg purchases should be $p = 333.33$ dollars.

Answer:

$p + 0.05p = 350\\p = 333.33$

3 0

3 years ago

There are 16 sixth graders and 20 seventh graders in the Robotics Club. For the first project, the club sponsor wants to organiz

polet [3.4K]

Because you cannot add the two numbers you must find a common denominator for 16 and 20. This answer is 4. The greatest number of group members possible is 4.

7 0

3 years ago

Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere

Elenna [48]

Answer:

The parametrization, of the given curve is $x = 10 cos(t) \ \ ,z = 10 sin(t)$

Step-by-step explanation:

From the question we are given the function

$x^2 + y^2 + z^2 = 125$

At y= 5

$x^2 + 5^2 +z^2 =125$

$x^2 + z^2 = 100$

$x^2 + z^2 = 10^2$

Converting the above to it polar equation we have

$x = 10 cos(t) \ \ ,z = 10 sin(t)$

6 0

3 years ago

The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 16.3, \sigma = 4.2$

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{15 - 16.3}{4.2}$

$Z = -0.31$

$Z = -0.31$ has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0

3 years ago

Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes e

Alex73 [517]

Answer:

Step-by-step explanation:

560=3s+b

b.

560=3×150+b

b=560-450=110

when s=149,b=560-3×149=560-447=113

s=2,b=560-3×2=560-6=554

s=1,b=560-3×1=557

s=0,b=560-3×o=560

so domain of b={110,113,116,...,554,557,560}

7 0

3 years ago

Solve |3x - 4| = 6A. {-10/3, 10/3}B. {-2/3, 10/3}C. {-2/3, 2/3}