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4 years ago

14

Karen's fish tank has 13 liters of water in it. She plans to add 4 liters per minute until the tank has at least 57 liters. What

are the possible numbers of minutes Karen could add water?

2 answers:

guapka [62]4 years ago

4 0

Answer:

Karen has to at least spend 11 minutes.

Step-by-step explanation:

This is because 57 - 13 = 44. 44 divided by 4 = 11. This means that in 11 minutes Karen will have a 57 liter tank. But she could keep going, but the least number of minutes would be 11 minutes, to get to 57 liters.

I hope this helps! Please mark me Brainliest if it did! Thank you and have a nice day!

Masja [62]4 years ago

4 0

Answer:

10 minutes

Step-by-step explanation:

Target = 57 liters

Already has 13 liters

Addition of 4 liters per minute.

The remaining liters to be filled = 57 liters - 13 liters = 44 liters

If 4 liters is to be added every minutes to fill up 44 liters

∴ 44 / 4 = 10 minutes

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Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, of all homeowners are insured

ANTONII [103]

Missing part of the question

Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 25% of all homeowners.....................

Answer:

$P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}$

$Mean = 1$

$Pr = 0.2617$

Step-by-step explanation:

Given

$n = 4$

$p = 25\%$

Solving (a): The probability distribution of x

We have:

$n = 4$

$p = 25\%$ $= 0.25$

The probability of not having earthquake insurance (q) is:

$q = 1 - p$

$q = 1 - 0.25$ $= 0.75$

If x has insurance, then n - x do not.

The distribution follows a binomial pattern. So, the probability distribution is:

$P(X = x) = ^nC_x * 0.25^x * 0.75^{n-x}$

Substitute 4 for n

$P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}$

Solving (b): The most likely value of x i.e. The mean

We have:

$n = 4$ and

$p = 25\%$ $= 0.25$

$Mean = np$

$Mean = 4 * 0.25$

$Mean = 1$

Solving (c): At least 2 of 4 selected have earthquake insurance.

This is calculated as

$Pr = P(x = 2) + P(x = 3) + P(x = 4)$

$P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}$

$P(X=2) = ^4C_2 * 0.25^2 * 0.75^{4-2}$

$P(X=2) = 6 * 0.25^2 * 0.75^2 = 0.2109375$

$P(X=3) = ^4C_3 * 0.25^3 * 0.75^{4-3}$

$P(X=3) = 4 * 0.25^3 * 0.75 = 0.046875$

$P(X=4) = ^4C_4 * 0.25^4 * 0.75^{4-4}$

$P(X=4) = 1 * 0.25^4 * 1= 0.00390625$

So:

$Pr = P(x = 2) + P(x = 3) + P(x = 4)$

$Pr = 0.2109375 + 0.046875 + 0.00390625$

$Pr = 0.26171875$

$Pr = 0.2617$ --- approximated

6 0

3 years ago

Can someone please help me with number 6? If so, you get 11 points!

andrew-mc [135]

we just have to find x
so,
20-x=6
do it like this
-x = 6-20
-x = -14
x = 14 is the write answer

5 0

3 years ago

Help me answer this due today at 9:00!!!!

ratelena [41]

we conclude that the dimensions and area of the scaled figure are:

l₂ = 48 in
w₂= 32in
A₂ = 1,536 in^2

How to find the dimensions of the large rectangle?

First, we know that the large rectangle is the smaller rectangle rescaled, with a scale factor k = 4.

This means that each dimension of the smaller rectangle must be multiplied by 4 to get the correspondent dimension on the larger rectangle.

The dimensions of the smaller rectangle are:

l₁ = 12in

w₁ = 8in

Then the correspondent dimensions of the large rectangle are:

l₂ = 4*12in = 48 in

w₂= 4*8in = 32in

Now, the area of the large rectangle is given by the product between the two dimensions, we will get:

A₂ = 48in*32in = 1,536 in^2

Then, we conclude that the dimensions and area of the scaled figure are:

l₂ = 48 in
w₂= 32in
A₂ = 1,536 in^2

If you want to learn more about rectangles:

brainly.com/question/17297081

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5 0

1 year ago

Suppose that Jamal can choose to get home from work by taxi or bus. When he chooses to get home by taxi, he arrives home after 7

qwelly [4]

Answer:

0.55

Step-by-step explanation:

There are four things you need to keep in mind,and the question is too easy to solve , so following are those four things

1)Jamal travelling by Taxi before 7 PM

It is given that Jamal uses the bus for 70 percent of the time so he will use the taxi for (100-70)%=30% of the time.

and also it is given that he arrives home by taxi after 7 PM , 15% of the time so he will arrive home by taxi before 7 PM ,(100-15)=85% of the time,

so by multiplication law of probability , the probability that Jamal will arrive by taxi before 7 PM =0.30*0.85=.255

2)Jamal travelling by Taxi after 7 PM

Similarly by considering the above situations as described in first part,

the probability that Jamal will arrive by taxi after 7 PM=0.30*0.15=.045

3) Jamal travelling by Bus before 7 PM

Now considering the case of the bus, it is given that Jamal arrives home after 7 PM 8 percent of the time. so for before 7 PM it will be 100-8= 92%

Similarly the probability that Jamal will arrive by bus before 7 PM=0.70*0.92=.644

4) Jamal travelling by Bus after 7 PM

Similarly on the basis of above explanation we can easily say that the probability that Jamal will arrive by bus after 7 PM=0.70*.08=.056

so, the probability that Jamal chose to get home from work by bus, given that he arrived home after 7 pm= $=\frac{Jamal travelling by bus after 7 PM}{(Jamal travelling by taxi after 7 PM +Jamal travelling by bus after 7 PM}$

$=\frac{0.056}{0.056+0.045}$

$=\frac{0.056}{0.101} \\=0.554$

7 0

3 years ago

Find the value of x in the triangle shown below. what does x equal to <br>i need help ASAP pleas

ehidna [41]

The value of x would be 50 degrees because it is an acute angle, so hat would make sense. It would be 50 degrees because the internal degrees of a triangle add up to 180 so 180-80 equals 100, and since it is a isosceles triangle the two angles would be the same. 100 divided by 2 is 50

5 0

3 years ago

Read 2 more answers