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11Alexandr11 [23.1K]
2 years ago
12

in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.

Mathematics
1 answer:
ikadub [295]2 years ago
4 0

Answer:

Step-by-step explanation:

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Given that tan theta = -4/7, and 270° < theta < 360°, what is the exact value of sec theta​
aleksley [76]

Answer:

sec Θ = \frac{\sqrt{65} }{7}

Step-by-step explanation:

Using the trigonometric identity

sec²Θ = tan²Θ + 1

Since 270° < Θ < 360° ← that is fourth quadrant, then

sec Θ > 0, thus

sec²Θ = (- \frac{4}{7})² + 1 = \frac{16}{49} + 1 = \frac{65}{49}, then

sec Θ = \sqrt{\frac{65}{49} } = \frac{\sqrt{65} }{7}

6 0
2 years ago
Among all monthly bills from a certain credit card company, the mean amount billed was $465 and the standard deviation was $300.
Fynjy0 [20]

Answer:

0.02% probability that the average amount billed on the sample bills is greater than $500.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be 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 = 465, \sigma = 300, n = 900, s = \frac{300}{\sqrt{900}} = 10.

What is the probability that the average amount billed on the sample bills is greater than $500?

This probability is 1 subtracted by the pvalue of Z when X = 500. So

Z = \frac{X - \mu}{s}

Z = \frac{500 - 465}{10}

Z = 3.5

Z = 3.5 has a pvalue of 0.9998.

So there is a 1-0.9998 = 0.0002 = 0.02% probability that the average amount billed on the sample bills is greater than $500.

8 0
3 years ago
What is 5\10 plus +8\100
Tasya [4]

Answer:its 0.58

Step-by-step explanation:

5 0
3 years ago
2p-b=c-ap<br><br> solve for tems of p <br> so p=bla bla bla
vitfil [10]
2p-b=c-ap

2p+ap=c+b

p(2+a)=c+b

So, p=(c+b)/(2+a)
3 0
3 years ago
Read 2 more answers
Find the Volume. Plz Help
koban [17]

Answer:

B

Step-by-step explanation:

V = \frac{l*w*h}{2} = \frac{18*12*9}{2} = \frac{1944}{2} = 972

3 0
3 years ago
Read 2 more answers
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