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sladkih [1.3K]
3 years ago
14

Using the digits 0 to 9 at most one time each,fill in the boxes below to write equations whose solution is -1/2

Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:

The equations whose solutions are -1/2 are:

1. 4x + 1 = 6x + 2

2. 3x + 7 = 5x + 8

Step-by-step explanation:

Using the digits 0 to 9 at most one time each, the equations whose solutions are -1/2 are:

1. 4x + 1 = 6x + 2

-2x = 1

x = -1/2

2. 3x + 7 = 5x + 8

-2x = 1

x = -1/2

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Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries
kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

So

\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535


P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465

64.65% probability of at least one injury commuting to work in the next 20 years

3 0
3 years ago
Find the value of x to the nearest tenth.
nlexa [21]

Answer:

x = 14.7

Step-by-step explanation:

Using the sine rule

\frac{a}{sin(A)}  = \frac{b}{sin(B)}  = \frac{c}{sin(C)}

Substitute the given values.

\frac{7}{sin(20)}  = \frac{x}{sin(46)}

Rearrange the equation to get x on it's own.

\frac{7sin(46)}{sin(20)}  = x

x = 14.72246211

x = 14.7 (1dp)

8 0
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suter [353]

Both chords CE and FE subtend arcs of 110°. They are the same length: 24.

5 0
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The multiplicative inverse of -7/8 is​
suter [353]

7/8 is a answer of this question

3 0
3 years ago
Look at the theater on First Ave, between Alder and Birch. If the corners of the theater are all right angles, is the theater a
insens350 [35]

Answer:

yes

Step-by-step explanation:

A parallelogram is a quadrilateral is whose angles are all right angles

3 0
3 years ago
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