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3 years ago

Solve for u. 6u = 78 Simplify your answer as much as possible. u=0

Mathematics

2 answers:

steposvetlana [31]3 years ago

5 0

Answer:

u = 13

Step-by-step explanation:

78/6 is 13

Elina [12.6K]3 years ago

3 0

Answer:

Step-by-step explanation:

6u=78

divided both sides by 6

78 divided by 6 is 13

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(06.06) A rectangle with width of 4. There is a vertical line that splits rectangle into two sections with different lengths. On

Anit [1.1K]

B. 4x+8

4(x+2) = (4•x)+(4•2) = 4x+8

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4 years ago

Find the slope of the line through the given points (1,1) (4,-1)

hodyreva [135]

Answer:

hope it helps

.............

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3 years ago

Cody increased the amount of money he saves each week from $40 to $75. By

Natali [406]

Answer:

So Cody increase his savings by 87.5%

Step-by-step explanation:

We are given Cody's original savings = $40

We are given his new savings total = $75

Now, in order to find out the percentage we have to first find out by how much did he increase his savings:

Increase in savings = $75 - $40 = $35

So now we have the increase in savings we can find out the percentage:

$increase(\%) \: = \frac{increase \: in \: savings}{original \: savings} \times 100$

Now we plug in our values that we found:

$increase(\%) = \frac{35}{40} \times 100\\ increase(\%) = 87.5\%$

So Cody increase his savings by 87.5%

6 0

3 years ago

Verify that the functions are probability mass functions, and determine the requested probabilities.

Free_Kalibri [48]

Answer:

a) 3/64 = 0.046 (4.6%)

b) 63/64 = 0.9843 (98.43%)

c) 1/64 = 0.015 (1.5%)

d) 1/4 = 0.25 (25%)

Step-by-step explanation:

in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then

∑f(x)*Δx = 1

if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...

then Δx=1 and

∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1

then f represents a probability mass function

a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)

b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)

c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)

d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)

4 0

3 years ago

Tyler has 120 linear feet of fencing to put around his garden. If he uses the fence to border a rectangular garden, what is the

Travka [436]

Answer:

The maximum area is $900\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of rectangle

y---> the width of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(x+y)$

we have

$P=120\ ft$

$120=2(x+y)$

$60=(x+y)$

$y=60-x$ ------> equation A

Remember that

The area of rectangle is equal to

$A=xy$ -----> equation B

substitute equation A in equation B

$A=x(60-x)$

$A=-x^{2} +60x$

This is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex of the graph is the maximum area of the garden and the x-coordinate is the length for the maximum area

using a graphing tool

The vertex is the point $(30,900)$

see the attached figure

Find the value of y

$y=60-x$ -----> $y=60-30=30\ ft$

The dimensions of the rectangular garden is $30\ ft$ by $30\ ft$

For a maximum area the garden is a square

The maximum area is $900\ ft^{2}$

5 0

4 years ago