The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.
2 answers:
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Answer:
The inequality is $200 + x*$8≤ $350
Step-by-step explanation:
An inequality is an inequality between letters (unknowns) and numbers related by arithmetic operations. Its solution set is the set of real numbers that satisfy it. In other words, an algebraic inequality in which its members are linked by the signs <(less than), ≤ (less than or equal to),> (greater than) or ≥ (greater than or equal to) is called an inequality.
Solving an inequality is to find the values of the unknown for which the inequality holds. The solution of an inequality is an interval or a union of intervals of real numbers.
In this case, you know that Carmen wants to buy 2 pairs of sneakers that cost $ 100 each.So the 2 pairs of sneakers will cost Carmen:
2 * $ 100 = $ 200
On the other hand, Carmen wants to find the possible amount of socks that she can buy, knowing that a pair costs $ 8. Being x the amount of socks that she can buy, then Carmen spends on socks:
x*$8
Knowing that Carmen has a $ 350 gift card to spend at Modell's, then what she spent on sneakers and socks cannot be more than $ 350. That is to say, the sum of what was spent on sneakers and socks must be less than or equal to $ 350, because Carmen cannot spend more than she has. This is expressed by the following inequality:
<u><em>$200 + x*$8≤ $350</em></u>
Solving for x:
x*$8 ≤ $350 - $200
x*$8≤ $150
x≤
x≤ 18.75
<u><em>Carmen can buy 2 sneakers and 18 or fewer socks with the $ 350 gift card.</em></u>
<u><em></em></u>
Answer:
a i.) The mean for the security company is $ 1.47 million
a ii.) The median for the security company is $ 1.55 million
a iii.) The mean for the other companies is $ 1.96 million.
a iv.) The mean for the other companies is $ 2.0 million.
b) B. The mean and the median for the security company are both lower than the mean and the median for the collections performed by other companies.
c) B. Since the security company appears to have collected lower revenue than the other companies, there is some evidence of stealing by the security company's employees.
Step-by-step explanation:
By mean, we sum all the observation and divide by the sample size (n). Where sample size is the number of observations.
Mathematically,
, where xi is the observations or values given.
By median, we mean middle number. So, we sort the values in ascending or descending order and take the value(s) in the middle. If the sample size is even, we take the 2 middle values and obtain the average.
See below, R programming codes for the solution.
##########...... R code
s = c(1.6,1.8,1.6,1.8,1.7,1.2,1.1,1.2,1.2,1.5)
c = c(1.5,2.1,1.9,2.2,1.9,1.7,2.1,2.2,2.2,1.8)
length(s)
mean(s); median(s)
mean(c);median(c)
t = (mean(s)-mean(c))/sqrt((var(s) + var(c))/length(s))
pnorm(t)
##############################################
For question C, we compute the test statistics, and obtain the p-value, see the last two lines of the R codes.
And since the p-value is less than level of significance, the test is significant. Thus, we conclude that:
<em>Since the security company appears to have collected lower revenue than the other companies, there is some evidence of stealing by the security company's employees.</em>