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8_murik_8 [283]

3 years ago

14

. Cecil is planting seeds in five large pots in his front yard. He has a total of 50 seeds. He put 14 seeds in the first pot and

15 seeds in the second. He puts an equal number of seeds in the remaining pots. How many seeds are there in each of the remaining pots? *

1 answer:

rodikova [14]3 years ago

5 0

The answer would be 7.

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What is the solution to the equation 1 over 56 multiplied by x is equal to 1 over 8

Kruka [31]

Lets write the equation
x*1/56= 1/8

Lets do left side

1x/56=1/8

Now we see that in order to remove 56 and only be left with 1x on leftside we have to multipley by 56. If we do so on on side we have to do on the other side. So both sides multiplies by 56

1x/56*56= 1*56/8

From above you see that 1x= 7

x=7

5 0

3 years ago

A box contains 146 marbles which are either red or blue. there are 28 more blue marbles than red marbles. how many blue marbles

rusak2 [61]

R + b = 146. Supposing that b=r+28,

r + (r+28) = 146, or 2r + 28 = 146.

Simplifying: 2r = 118. Then r = 59, and b = r+28 = 59+28 = 87 blue marbles

6 0

3 years ago

5x = - 25x<br> Solve for x

Sunny_sXe [5.5K]

Subtract 5x from both sides
0=-30x

Divide both sides by -30
0=x

Final answer: x=0

Hope this helps!

8 0

3 years ago

Read 2 more answers

A certain number was multiplied by 7. 4 was taken away from the product. Finally, that difference was then divided by 9, resulti

marin [14]

Answer:

7

Step-by-step explanation:

To solve this, we have to work backwards. If you divide something by 9, and it equals 5, to figure out the number, we need to multiply by 9. 5*9= 45. If four was taken away, we have to add it to 45, which is 49. If a number *7 is 49, then we have to divide by 7 to get the answer. 49/7=7

7 0

3 years ago

A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon

melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.

X~ Uniform(0,100)

Then the probability mass function is given as follows.

$f(x) = P(X=x) = 1/100 \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0 \,\,\,\, \text{otherwise}$

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located 70 meters away from city A then the mid point between 20 and 70 is (70+20)/2 = 45 then we can represent D as follows

$D(x) =\left\{ \begin{array}{ll} x & \mbox{if } 0\leq x \leq 20 \\ x-20 & \mbox{if } 20\leq x < 45\\ 70-x & \mbox{if } 45 \leq x \leq 70\\ x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.$

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable $Y = D(X)$ , $Y$ is a random variable as well, remember that there is a theorem that says that

$E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx$

Where $f(x)$ is the probability mass function of X. Using the information of our problem

$E[Y] = \int\limits_{-\infty}^{\infty} D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx \bigg]\\= \frac{51}{4} = 12.75$

3 0

3 years ago