Ali is 12 years and his sister is 8 years what is the ratio of the sister's age to ali's?

Solve for inequality: 9x + 11 > 4x - (17 - 9x)

Soloha48 [4]

$9x + 11 \ \textgreater \ 4x - (17 - 9x) \\
9x + 11 \ \textgreater \ 4x - 17+9x\\
4x\ \textless \ 28\\
x\ \textless \ 7$

6 0

2 years ago

Directions-Write an exponential function to model each situation. Then find the value of the function after the given amount of

nignag [31]

Answer:

We can now write this is a function of time in years leading to

f

(

x

)

=

200

(

.94

)

x

f

(

5

)

≈

147

Explanation:

Firs you should consider that if its exponential then it has some form similar to

3

x

. Where we have some known part (3) and the unknown part (

x

) that we are trying to find out. Mathematically we can say it has the form

a

x

. In this case we know what the

a

is and that is the entire population that was given to us. We know over time it will change but why are we even using the exponential model.

Well it turns out that if you multiply some value over and over again it has this form. Example we multiply

2

⋅

2

⋅

2

⋅

2

=

2

4

. So if something doubled over time then this is what would happen.

Now the problem is that it will continue to decrease at the same rate leading to

a

⋅

(

.94

)

because only

94

%

of the population remains each year. After two years

a

⋅

(

.94

)

⋅

(

.94

)

. We can now write this is a function of time in years leading to

f

(

x

)

=

200

⋅

(

.94

)

x

f

(

5

)

≈

147

Step-by-step explanation:

8 0

1 year ago

A boat with some water at its bottom was found leaking again. Assume that water goes into the boat at a constant rate. 3 hours a

ratelena [41]

The Number of people is 12 when time taken is 2 hours.

According to the statement

Time taken when 10 people works is 3 hours

Time taken when 5 people works is 8 hours

Then we have to find the number of peoples when time taken is 2 hours.

So, average time that for which single person works is 180 min/ 10 = 18 min.

It means the average time for single person works is 18 min in case of 10 people.

and one thing is clear that the number of people is greater than 10 people when time taken is 2 hours.

So, The Number of people is 12 when time taken is 2 hours.

Learn more about AVERAGE here brainly.com/question/8728504

#SPJ4

6 0

1 year ago

Find |−3/5|+3/4. Write your answer as a mixed number in simplest form.

cricket20 [7]

Answer:

1 7/20

Step-by-step explanation:

|-3/5|+3/4= 3/5+3/4

= 27/20

= 1 7/20

4 0

2 years ago

Read 2 more answers

Suppose that when a transistor of a certain type is subjected to an accelerated life test, the lifetime x (in weeks) has a gamma

elena-14-01-66 [18.8K]

Answer:

a) $P(1 \leq X \leq 40)$

In order to find this probability we can use excel with the following code:

=GAMMA.DIST(40;5,8,TRUE)-GAMMA.DIST(1,5,8,TRUE)

And we got:

$P(1 \leq X \leq 40)=0.560$

b) $P(X \geq 40)=1-P(X$

In order to find this probability we can use excel with the following code:

=1-GAMMA.DIST(40,5,8,TRUE)

And we got:

$P(X \geq 40)=1-P(X$

Step-by-step explanation:

Previous concepts

The Gamma distribution "is a continuous, positive-only, unimodal distribution that encodes the time required for $\alpha$ events to occur in a Poisson process with mean arrival time of $\beta$ "

Solution to the problem

Let X the random variable that represent the lifetime for transistors

For this case we have the mean and the variance given. And we have defined the mean and variance like this:

$\mu = 40 = \alpha \beta$ (1)

$\sigma^2 =320= \alpha \beta^2$ (2)

From this we can solve $\alpha$ and [/tex]\beta[/tex]

From the condition (1) we can solve for $\alpha$ and we got:

$\alpha= \frac{40}{\beta}$ (3)

And if we replace condition (3) into (2) we got:

$320= \frac{40}{\beta} \beta^2 = 40 \beta$

And solving for $\beta = 8$

And now we can use condition (3) to find $\alpha$

$\alpha=\frac{40}{8}=5$

So then we have the parameters for the Gamma distribution. On this case $X \sim Gamma (\alpha= 5, \beta=8)$

Part a

For this case we want this probability:

$P(1 \leq X \leq 40)$

In order to find this probability we can use excel with the following code:

=GAMMA.DIST(40;5,8,TRUE)-GAMMA.DIST(1,5,8,TRUE)

And we got:

$P(1 \leq X \leq 40)=0.560$

Part b

For this case we want this probability:

$P(X \geq 40)=1-P(X$

In order to find this probability we can use excel with the following code:

=1-GAMMA.DIST(40,5,8,TRUE)

And we got:

$P(X \geq 40)=1-P(X$

6 0

2 years ago