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2 years ago

Find the value of x and give a reason for the relationship between the angles.

Mathematics

1 answer:

finlep [7]2 years ago

3 0

Answer:

x = 20 and they are vertical angles

Step-by-step explanation:

2x = 40

x = 20

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A recipe for banana bread requires 1 1/2 fl oz of milk and makes 5 servings. darla made enough banana bread for 45 servings.

tangare [24]

She used 13 1/2 fl oz of milk

4 0

2 years ago

Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with mean 1/0.41/0

lbvjy [14]

Answer:

a) P(t>3)=0.30

b) P(t>10|t>9)=0.67

Step-by-step explanation:

We have a repair time modeled as an exponentially random variable, with mean 1/0.4=2.5 hours.

The parameter λ of the exponential distribution is the inverse of the mean, so its λ=0.4 h^-1.

The probabity that a repair time exceeds k hours can be written as:

$P(t>k)=e^{-\lambda t }=e^{-0.4t}$

(a) the probability that a repair time exceeds 3 hours?

$P(t>3)=e^{-0.4*3}=e^{-1.2}= 0.30$

(b) the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours?

The exponential distribution has a memoryless property, in which the probabilities of future events are not dependant of past events.

In this case, the conditional probability that a repair takes at least 10 hours, given that it takes more than 9 hours is equal to the probability that a repair takes at least (10-9)=1 hour.

$P(t>10|t>9)=P(t>1)$

$P(k>1)=e^{-0.4*1}=0.67$

6 0

3 years ago

The price of 10 citrons and 7 fragrant wood apples is 55 units. The price of 7 citrons and 10 fragrant wood apples is 64 units.

a_sh-v [17]

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Further explanation:

Let x be the price of one citron and

y be the price of one fragrant

Then according to given statement

10x+7y = 55 Eqn 1

7x+10y = 64 Eqn 2

Multiplying equation 1 by 7

$7(10x+7y) = 7(55)\\70x+49y=385$

This will be equation 3.

Multiplying equation 2 by 10

$10(7x+10y) = 10(64)\\70x+100y=640$

This will be equation 4.

Subtracting equation 3 from equation 4

$70x+100y - (70x+49y) = 640-385\\70x+100y-70y-49y = 255\\51y = 255\\\frac{51x}{51} = \frac{255}{51}\\x = 5\\Putting\ x=5\ in\ equation\ 1\\10(5)+7y = 55\\50+7y = 55\\7y = 55-50\\7y = 5\\\frac{7y}{7} =\frac{5}{7}$

So,

Price of one citron = 5 units

Price of one fragrant = 5/7 units = 0.71 units

Keywords: Linear Equations, Solving system of linear equations

Learn more about linear equations at:

#LearnwithBrainly

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2 years ago

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olga_2 [115]

Answer:

What was the original number??

Step-by-step explanation:

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3 years ago

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Go download Conects. You gonna love it.

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2 years ago