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3 years ago

If CDEF is a parallelogram, find m

Mathematics

1 answer:

3241004551 [841]3 years ago

4 0

Find m? 10x-23 + 5x-7 = 180 15x-30 =180 180-30 15x= 150 x=10

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5 in

Strike441 [17]

Answer: The correct answer is 96 inches

Step-by-step explanation: hope this helps

6 0

3 years ago

EYEWITNESS TESTIMONY. A man was struck by a speeding taxi as he crossed the street. An eyewitness testified the taxi (which did

Brrunno [24]

Answer:

The probability the man was hit by a Blue Cab taxi is 41%.

Step-by-step explanation:

In terms of bayesian probability, we have to calculate P(B|Wr), or, given the witness saw the right colour, the taxi is from the Blue Cab company.

According to Bayes

P(B|Wr) = P(Wr|B)*P(B)/P(Wr)

P(Wr|B) = 0,8

P(B) = 0.15

To calculate P(Wr), or the probability of the witness of guessing right, we have to consider the two possibilities:

1) The taxi is from Blue Cab (B) and the witness is right (Wr).

2) The taxi is from Green Cab (G) and the witness is wrong (Ww).

The total probality of guessing right is

P(B)*P(Wr) + P(G)*P(Ww) = 0.15*0.8 + 0.85*0.2 = 0.29

So we can calculate:

P(B|Wr) = P(Wr|B)*P(B)/P(Wr) = 0.8*0.15/0.29 = 0.41

The probability the man was hit by a Blue Cab taxi is 41%.

4 0

3 years ago

What is the radius of a sphere with a volume of 1/6 pie

Yakvenalex [24]

Answer:

$\large\boxed{the\ radius\ R=\dfrac{1}{2}}$

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

We have

$V=\dfrac{1}{6}\pi$

Substitute:

$\dfrac{4}{3}\pi R^3=\dfrac{1}{6}\pi$ divide both sides by π

$\dfrac{4}{3}R^3=\dfrac{1}{6}$ multiply both sides by 3

$3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}R^3=3\!\!\!\!\diagup^1\cdot\dfrac{1}{6\!\!\!\!\diagup_2}$

$4R^3=\dfrac{1}{2}$ divide both sides by 4

$R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}$

3 0

3 years ago

What’s the value for y?

galina1969 [7]

Y=3(2)-2
Y=6-2
Y=4
The value of y is 4.

6 0

3 years ago

Read 2 more answers

Consider the function.

Licemer1 [7]

Answer:

Option 4

Step-by-step explanation:

Given function is,

$f(x)=2\frac{1}{2}-3\frac{1}{3}x$

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

$y=2\frac{1}{2}-3\frac{1}{3}x$

Step 2,

Interchange the variables 'x' and 'y',

$x=2\frac{1}{2}-3\frac{1}{3}y$

Step 3,

Solve the equation for the value of y,

$x-2\frac{1}{2}=-3\frac{1}{3}y$

$x-\frac{5}{2}=-\frac{10}{3}y$

$-x+\frac{5}{2}=\frac{10}{3}y$

$-3x+\frac{15}{2}=10y$

$-\frac{3}{10}x+\frac{15}{20}=y$

$y=-\frac{3}{10}x+\frac{3}{4}$

Step 4,

Convert the equation into inverse function,

$f^{-1}x=-\frac{3}{10}x+\frac{3}{4}$

For x-intercepts,

Substitute y = 0,

$0=-\frac{3}{10}x+\frac{3}{4}$

$\frac{3}{10}x=\frac{3}{4}$

$x=\frac{10}{4}$

$x=\frac{5}{2}$

$x=2\frac{1}{2}$

Therefore, x-intercept of the inverse function is $(2\frac{1}{2},0)$ .

Option 4 will be the answer.

8 0

3 years ago