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natima [27]
3 years ago
13

A five-digit integer will be chosen at random from all possible positive five-digit integers. What is the probability that the n

umber's units digit will be less than 5
Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

The probability that the number's units digit will be less than 5 is 0.5 that it is equal to 1/2.

Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

There are 10 possible digits, 0, 1, 2, ... 9 that make up the 5-digit number made up of integral values.

There are 5 digits that are less than 5 which are 0, 1, 2, 3, and 4 so the probability will be found by taking only those nubers which have unit's place less than 5,

By probability formula , Probability= no. of favourable outcomes/total no. of outcomes

So probability will be found that will be equal to 5/10, or 1/2

For more information about probability, visit brainly.com/question/24756209

#SPJ4

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What is the y intercept of the line described by the equation below?
zysi [14]

Answer:

0,7

Step-by-step explanation:

This equation is in y=mx+b form. The b is the y intercept. As we can see b is 7. So the y-intercept is 0,7.

6 0
3 years ago
PLS HELP
sertanlavr [38]

Answer:

C. 76 + 7i

Step-by-step explanation:

49 squared is 7 and since it's negative, it is an imaginary number. Therefore, it is 7i. Which leaves C to be the correct option.

8 0
3 years ago
If the differential equation t 2y 00 − 2y 0 + (3 + t)y = 0 has y1(t) and y2(t) as a fundamental set of solutions and if W[y1, y2
podryga [215]

In the ODE, solve for y'':

t^2y''-2y'+(3+t)y=0\implies y''=\dfrac{2y'+(3+t)y}{t^2}

The Wronskian is then

W=\begin{vmatrix}y_1&y_2\\{y_1}'&{y_2}'\end{vmatrix}=y_1{y_2}'-{y_1}'y_2

Differentiating the Wronskian gives

W'=({y_1}'{y_2}'+y_1{y_2}'')-({y_1}''y_2+{y_1}'{y_2}')=y_1{y_2}''-{y_1}''y_2

Substitute y_1,y_2 into the equation for y'', then substitute {y_1}'',{y_2}'' into W':

W'=y_1\dfrac{2{y_2}'+(3+t)y_2}{t^2}-y_2\dfrac{2{y_1}'+(3+t)y_1}{t^2}

\implies W'=\dfrac{2W}{t^2}

which is another separable ODE; we have

\dfrac{\mathrm dW}W=\dfrac2{t^2}\,\mathrm dt\implies \ln|W|=-\dfrac2t+C\implies W=Ce^{-2/t}

Given that W(y_1,y_2)(2)=3, we find

3=Ce^{-2/2}\implies C=3e

so that

W(y_1,y_2)(t)=3e^{1-2/t}

and so

W(y_1,y_2)(6)=\boxed{3e^{2/3}}

8 0
3 years ago
Solve the equation.<br><br> |x-1|+5=2
aev [14]

Answer:

No answer is applicable for this question

Step-by-step explanation:

Start off by moving the singular numbers to one side. This can be done by subtracting 5 from both sides. Then you are left with |x-1|=-3.

After reaching this point, you must know what whatever number, negative or not, within the lines will always come out to be positive. If those lines were not there, the answer would be -2. But if -2 was inserted at this point, you would find yourself with the answer of 3=-3. Hope this helps, comment a question below if you do not understand

4 0
3 years ago
A driver averaged 49 miles per hour and took 10 hours to travel between two cities. What is the distance between the two cities
Vesnalui [34]

Answer:

The answer is 490

Step-by-step explanation:

It takes 10 hours at 49MPH so you have to multiply 49 miles × 10 hours which gives you 490 miles

6 0
4 years ago
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