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notsponge [240]
2 years ago
15

You calculate the probability of an event and it turns out to be 0.7, you know

Mathematics
1 answer:
aivan3 [116]2 years ago
6 0

Answer:

C. the probability of it not happening is 0.3.

Step-by-step explanation:

Probability of event happening is of 0.7.

Either it happens, or it does not. The sum of these probabilities is 100%.

0.7 probability of happening, so 1 - 0.7 = 0.3 probability of not happening, and the correct answer is given by option C.

A is wrong as the probability is not 1, and B is wrong as the probability is higher than 0.5.

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What does rotation about (-3,-4) mean
umka2103 [35]

Answer:

Step-by-step explanation:

Depends on what kind of rotation you would be doing. But for example, if you are rotating 90 degrees about a point on a graph, your point (x, y) changes to (-y, x). Then another 90 degrees would be (-x, -y).

3 0
3 years ago
Can you guys help me fill the right angle measures
Veseljchak [2.6K]

Answer:

if ∠2 = 160° then ∠8 = ∠2 and ∠3 = 360° - 160° and ∠5 = ∠3

SO BASICALLY,

∠2 = 160°

∠3 = 200°

∠5 = 200°

∠8 = 160°

keep in mind though that this depends on the angle measure of ∠2

ok bye

8 0
3 years ago
Read 2 more answers
The difference between the roots of the equation 3x2+bx+10=0 is equal to 4 1 3 . find<br> b.
inna [77]
Given that the difference between the roots of the equation 3x^2+bx+10=0 is 4 \frac{1}{3} = \frac{13}{3}.

Recall that the sum of roots of a quadratic equation is given by - \frac{b}{a}.

Let the two roots of the equation be \alpha and \alpha + \frac{13}{3}, then 

\alpha + \alpha + \frac{13}{3} =2 \alpha + \frac{13}{3} =- \frac{b}{a} =- \frac{b}{3}  \\  \\ i.e.\ \ 2 \alpha + \frac{13}{3}=- \frac{b}{3} . . . (1)

Also recall that the product of the two roots of a quadratic equation is given by \frac{c}{a}, thus:

\alpha \left( \alpha + \frac{13}{3} \right)= \alpha ^2+ \frac{13}{3} \alpha = \frac{c}{a} = \frac{10}{3}  \\  \\ i.e.\ \ \alpha ^2+ \frac{13}{3} \alpha=\frac{10}{3} . . . (2)

From (1), we have:

2 \alpha =- \frac{b}{3} - \frac{13}{3}  \\  \\ \Rightarrow \alpha =- \frac{b}{6} - \frac{13}{6}

Substituting for alpha into (2), gives:

\left(- \frac{b}{6} - \frac{13}{6}\right)^2+ \frac{13}{3} \left(- \frac{b}{6} - \frac{13}{6}\right)= \frac{10}{3}  \\  \\ \Rightarrow \frac{b^2}{36} + \frac{13b}{18} + \frac{169}{36} - \frac{13b}{18} - \frac{169}{18} = \frac{10}{3}  \\  \\ \Rightarrow \frac{b^2}{36} - \frac{289}{36} =0 \\  \\ \Rightarrow \frac{b^2}{36} = \frac{289}{36}  \\  \\ \Rightarrow b^2=289 \\  \\ \Rightarrow b=\pm\sqrt{289}=\pm17
5 0
3 years ago
3/4(x+8)&gt;1/2(2x+10)​
JulijaS [17]

Answer:

x < 4

Step-by-step explanation:

3/4(x+8)>1/2(2x+10)​    (multiply both sides by 4)

(4)(3/4)(x+8)>(4)(1/2)(2x+10)​

3(x+8)>2 (2x+10)​  (expand parentheses by distribution property)

x(3)+8(3)>(2x)(2)+10(2)​

3x+24>4x+20   (subtract 3x from both sides)

​3x+24 - 3x > 4x+20- 3x

​24 > x+20 (subtract 20 from both sides)

24 - 20 > x + 20 - 20

4 > x  (rearrange)

x < 4

8 0
2 years ago
Two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete th
ki77a [65]

Answer: 4/3 hours or 1 1/3 hours

Step-by-step explanation:

From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.

Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.

Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.

When they both work together, we will add their fraction of work done in one hour together. This will be:

= 1/4 + 1/2

= 3/4

This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:

= 1 ÷ 3/4

= 1 × 4/3

= 4/3 hours

= 1 hour 20 minutes.

In one

5 0
3 years ago
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