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Kruka [31]
2 years ago
13

If x = 8 and y = -3, evaluate the following expression: 20 - 5y + 2x​

Mathematics
1 answer:
solniwko [45]2 years ago
8 0

Answer:

51

Step-by-step explanation:

Given the following question:

20-5y+2x
x=8
y=-3

Substitute and solve using PEMDAS:

20-5y+2x
20-5(-3)+2(8)
5\times-3=-15
20--15+2(8)
2\times8=16
20-(-15)+16
20--15=35
35+16=51
=51

Your answer is "51."

Hope this helps.

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The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There
Oksi-84 [34.3K]

Answer:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent certain lifetime of a population, and for this case we know the distribution for X is given by:

X \sim N(10,1)  

Where \mu=10 and \sigma=1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

4 0
3 years ago
(05.01)
choli [55]

Step-by-step explanation:

<u>The graph of a system of parallel lines will have no solutions. </u>

  • Always

Because they will never intersect, having same slopes.

=========================

<u>The graph of a system of equations with different slopes will have no solutions. </u>

  • Never

Because they will intersect exactly once, having different slopes.

6 0
2 years ago
Read 2 more answers
4. Represent the ordered pairs in the mapping diagram as a set of ordered pairs and as a table.
Firlakuza [10]

Answer/Step-by-step explanation:

✔️As a set of order pairs, the mapping can be represented as (x, y), where x = input and y = output.

Thus:

{(1, 6), (2, 6), (3, 6), (4, 8)}

✔️As a table we have input as x, and y as output, such as:

x | y

1 | 6

2 | 6

3 | 6

4 | 8

3 0
3 years ago
A tent has the dimensions shown in the diagram. Find the area of the groundsheet needed to fit inside the tent. Round your answe
kogti [31]

Apologies if the diagram is a bit confusing

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PLEASE HELP 25 POINTS!
patriot [66]

Answer:

46,666

Step-by-step explanation:

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