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irga5000 [103]
3 years ago
6

Find 5x − 3y − z if x = −2, y = 2, and z = −3 −19 19 13 −13

Mathematics
1 answer:
Blababa [14]3 years ago
8 0
5x - 3y - z
By hypothesis, x = -2, y = 2 and z = -3.

So you all need to do is replace each letter by its value and do the calculus:

5x - 3y - z = 5*(-2) - 3(2) - (-3)
= -10 - 6 + 3=
=-16 + 3
= -13

So when x = -2, y = 2 and z = -3
5x - 3y - z = -13 (answer d)

Hope this helps! :)
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In Quebec, 90 percent of the population subscribes to the Roman Catholic religion. In a random sample of eight Quebecois, find t
AysviL [449]

Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

 P(X = r) = \binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,.......

Here, n = number of trials which is 8 in our case

         r = no. of success which is at least 5 in our case

         p = probability of success which is probability of Roman Catholic of

                 0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= \binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}

= 56 * 0.9^{5} * (0.1)^{3} + 28 * 0.9^{6} * (0.1)^{2} + 8 * 0.9^{7} * (0.1)^{1} + 1 * 0.9^{8}

= 0.995

Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

3 0
3 years ago
Can someone help me out on this problem and show work
DochEvi [55]

Answer: 4230.14

Step-by-step explanation:

The amount that the balance is multiplied by each month is

\frac{2448}{2040}=1.2.

So, after t months, the balance is 1700(1.2)^{t-1}.

Substituting in t=6, we get the balance is

1700(1.2)^{6-1}=\boxed{4230.14}, to the nearest hundredth.

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2 years ago
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AlexFokin [52]
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The measure of a straight angle is 180 degrees, so a linear pair<span> of angles must add up to 180 degrees.
</span>
I hope my answer helped!!!
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3 years ago
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adoni [48]

Answer:

y = |x| - 1

Step-by-step explanation:

The difference between the parent function (y=|x|) and the graph, is that the graph is 1 unit down. y = |x| -1 has the parent function 1 unit down

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The value of <em>x </em>in the equation, (3x + 30), is 10.

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