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3 years ago

The probability of an event happening is (11/30), what is the probability of the event not happening?

Mathematics

1 answer:

Andrew [12]3 years ago

7 0

Answer:

19/30

Step-by-step explanation:

If the probability of an event happening is 11/30, then you simply subtract 11 from 30 to find the remaining "possibilities"

30 - 11 = 19

So- this means that the probability of the event NOT happening, is...

19/30

Hope this helps!

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The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. What length of salamander woul

Law Incorporation [45]

Answer:

16.68 cm

Step-by-step explanation:

Given that :

Mean , m = 15

Standard deviation, s = 2

Length of salamander that would Place it at 80% of salamander length :

P(Z ≤ x) = 0.8

Zscore equivalent to 0.8 = 0.842

Using the relation :

Zscore = (x - m) /s

0.842 = (x - 15) / 2

1.684 = x - 15

Add 15 to both sides

1.684 + 15 = x - 15 + 15

16.684 = x

Hence, x = 16.68 cm

4 0

3 years ago

5z3 - 224 - 9z2 + 2<br> What is the degree of the polynomial?<br> I

hoa [83]

Answer:

5{z}^{3}-222-9{z}^{2}5z

−222−9z

Step-by-step explanation:

1 Collect like terms.

5{z}^{3}+(-224+2)-9{z}^{2}5z

+(−224+2)−9z

2 Simplify.

5{z}^{3}-222-9{z}^{2}5z

−222−9z

Done

7 0

3 years ago

Write the equation of the line that passes through the given point and is parallel to the given line.

romanna [79]

<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>

Answer:

$y = \frac{1}{2} x - \frac{5}{2}$

Step-by-step explanation:

1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.

2) We know that the slope has to be parallel to the given line, $y = \frac{1}{2}x - 8$ . Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be $\frac{1}{2}$ .

3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

$(y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}$

Therefore, $y = \frac{1}{2}x - \frac{5}{2}$ is our answer. If you have any questions, please do not hesitate to ask!

3 0

3 years ago

What is the surface area of this?

olchik [2.2K]

Find the area of two sides (Length*Height)*2 sides.
Find the area of adjacent sides (Width*Height)*2 sides.
Find the area of ends (Length*Width)*2 ends.
Add the three areas together to find the surface area.
Example: The surface area of a rectangular prism 5 cm long, 3 cm. Hope this helps?!

6 0

3 years ago

The local pizza parlor is filling an order of 40 pizzas for a school party. The circle graph shows the percentages of the differ

marysya [2.9K]

Answer:

C 10 pizzas

Step-by-step explanation:

We know that there are 40 total pizzas

We also know the percentage of each pizza, except mushroom.

By definition, the total percent of everything is 100%

If we add up what we know...we get the following:

10% Pineapple + 45% Pepperoni + 20% Ham equals 75%

10 + 45 = 55

55 + 20 = 75

If all the pizzas other than Mushroom equals 75% of the pizza toppings, then Mushroom must be 25% of the pizzas

100% - 75% = 25%

25% of 40 pizzas is 0.25 x 40 which equals 10

25% is also the same as 1/4 or one quarter...so 40 divided by 4 is also 10.

So the answer is C. 10 pizzas

Another was to approach this would be to figure out how many of each other pizzas there are.

10% Pineapple is 0.10 x 40 = 4 Pineapple pizzas

45% Pepperoni is 0.45 x 40 = 18 Pepperoni pizzas

20% Ham is 0.20 x 40 = 8 Ham pizzas

if you add 4 + 18 + 8 you get 30 pizzas

40 total pizzas minus 30 non mushroom pizzas leaves 10 mushroom pizzas

5 0

3 years ago