If they charge $2.00 per quart, how much money will they make if they sell it all

Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11. negative 33 square root of

Alla [95]

As long as your indexes are the same (which they are; they are all square roots) and you radicands are the same (which they are; they are all 11), then you can add or subtract. The rules for adding and subtracting radicals are more picky than multiplying or dividing. Just like adding fractions or combining like terms. Since all the square roots are the same we only have to worry about the numbers outside. In fact, it may help to factor out the sqrt 11: $(5-12-2) \sqrt{11}$ . The numbers subtract to give you -9. Therefore, the simplification is $-9 \sqrt{11}$

6 0

2 years ago

Choose Yes or No to tell if the digit in the ones place is 1/10 the value of the digit in the tens place.

Radda [10]

Answer:

4099 yes
4110 no
5909 no
5011 yes

Step-by-step explanation:

The digits will be related by a factor of 10 if they are the same digit. 4099 and 5011 have the same digit in the tens and ones places. 4110 and 5909 do not.

5 0

2 years ago

Read 2 more answers

Consider a sample with a mean of 500 and a standard deviation of 100. What are the z-scores for the following data values: 560,

julsineya [31]

Answer:

z-score for value 560 = 0.6

z-score for value 650 = 1.5

z-score for value 500 = 0

z-score for value 450 = -0.5

z-score for value 300 = -2

Step-by-step explanation:

We are given a sample with a mean of 500 and a standard deviation of 100.

i.e., $\mu$ = 500 and $\sigma$ = 100

The z score distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where X represents the data values;

So, z score for value 560 is;

z score = $\frac{560-500}{100}$ = 0.6

So, z score for value 650 is;

z score = $\frac{650-500}{100}$ = 1.5

So, z score for value 500 is;

z score = $\frac{500-500}{100}$ = 0

So, z score for value 450 is;

z score = $\frac{450-500}{100}$ = -0.5

So, z score for value 300 is;

z score = $\frac{300-500}{100}$ = -2

7 0

2 years ago

Find c, yenvelope(x,t), and ycarrier(x,t). express your answer in terms of a, k1, k2, x, t, ω1, and ω2. separate the three parts

steposvetlana [31]

Answer:

$C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )$

Step-by-step explanation:

Given

$Y_1(x,t)=A \sin(K_1x- \omega _1 t)\\\\Y_2(x,t)=A \sin(K_2x- \omega _2 t)$

using a trigonometrical identity

sin p + sin q = 2 sin ( p+q/2) cos ( p-q/2)

and here the condition is

the choice is in between sinax and cosax

where a > b

so we get using above equation

$C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )$

4 0

2 years ago

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

Kay [80]

Answer:

Due to the higher z-score, Cade should be offered the job.

Step-by-step explanation:

Z-score:

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.

If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Whoever had the higher z-score.

Reyna:

Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12.

This means that $X = 75.3, \mu = 69.3, \sigma = 12$