Answer:

**Answers:**

**The first blank is 180**

**The second blank is 60**

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The triangle sum theorem basically says that adding up all three angles of any triangle always leads to 180 degrees. So that's why

(angle1)+(angle2)+(angle3) = 180

x+x+x = 180

**3x = 180**

Divide both sides of that last equation by 3. This is to undo the multiplication of 3 done to x.

3x = 180

3x/3 = 180/3 ... divide both sides by 3

**x = 60**

Each angle of this equilateral triangle is 60 degrees. In an equilateral triangle, all three sides are the same length. Also in an equilateral triangle, all three angles are the same measure and always 60 degrees.

Answer:
### Final answer:

### Explanation:

### Learn more about Triangle Sum Theorem here:

The **Triangle Sum Theorem** says that all angles in a triangle add up to 180 degrees. In an equilateral triangle, all angles are equal. Hence, each angle is 60 degrees.

The **Triangle Sum Theorem** states that the sum of the measures of the angles in a triangle is always 180 degrees. Now, in an **equilateral triangle**, all angles are equal. Let's denote the measure of each angle with x. According to the theorem, the sum of these measures is x + x + x = 180. Simplifying this gives 3x = 180. Hence, solving for x, which refers to the measure of each angle in the equilateral triangle, we get x = 180 / 3 = 60 degrees. Thus, each angle in an equilateral triangle measures 60 degrees.

#SPJ2

A certain vibrating system satisfies the equation u'' + γu' + u = 0. Find the value of the damping coefficient γ for which the quasi period of the damped motion is 90% greater than the period of the corresponding undamped motion.

I feel nice today, Here is 100 points

What sample size is needed to give a margin of error within in estimating a population mean with 95% confidence, assuming a previous sample had .

Please help fast!!! I need help with question attached!!

The number of traffic accidents that occur on a particular stretch of road during a month follows a poisson distribution with a mean of 7.37.3. find the probability of observing exactly four four accidents on this stretch of road next month. round to six decimal places.

I feel nice today, Here is 100 points

What sample size is needed to give a margin of error within in estimating a population mean with 95% confidence, assuming a previous sample had .

Please help fast!!! I need help with question attached!!

The number of traffic accidents that occur on a particular stretch of road during a month follows a poisson distribution with a mean of 7.37.3. find the probability of observing exactly four four accidents on this stretch of road next month. round to six decimal places.

In the simplified form the expression is x+4

**Answer:**

x+4

**Step-by-step explanation:**

**Answer: **0.15

**Step-by-step explanation:**

As per given , the probability that customers who bought a new vehicle bought an SUV : P(SUV) = 0.20

The probability that customer bought a vehicle that was an SUV and in black color : P(SUV and black) =0.03

Now by suing** conditional probability formula, **

If we have given that a customer bought an SUV, then the probability that it was black will be :

**Hence, the required probability is 0.15.**

The **probability **that a customer who bought an SUV also bought a black SUV is 0.006, or 0.6% (expressed as a percentage).

To find the probability that a customer who bought an SUV also bought a black SUV, you can use **conditional **probability.

Let's define the following events:

A: A customer bought an SUV.

B: A customer bought a black SUV.

You are given that P(B|A) is the **probability **that a customer who bought an SUV also bought a black SUV, which is 3% or 0.03.

You want to find P(B|A), the probability that a customer who bought an SUV also bought a black SUV. You can use the following formula for conditional probability:

P(B|A) = (P(A and B)) / P(A)

Here, P(A and B) is the probability that a customer **bought **both an SUV and a black SUV, and P(A) is the probability that a customer bought an SUV.

You know that P(B|A) = 0.03 and P(A) = 0.20.

Now, you need to find P(A and B), the probability that a **customer **bought both an SUV and a black SUV. You can rearrange the formula:

P(A and B) = P(B|A) * P(A)

P(A and B) = 0.03 * 0.20

P(A and B) = 0.006

for such more question on **probability **

#SPJ3

**Answer:**

left bottem

**Step-by-step explanation:**

**Answer:**

**The 2nd one is correct**

**Step-by-step explanation:**

**so first split into two**

now we can factorise each

now the inside of the bracket is the same so we can reconfigure like this

all i did was put the two outside terms together to make (r-s)

this is your answer

(r-s)(r+2t)

The value of x is given by the pythagoras theorem

X^2 = 17^2 - 15^2

X^2 = 289-225

X^2 = 64

X = sqrt64

X= 8cm

X^2 = 17^2 - 15^2

X^2 = 289-225

X^2 = 64

X = sqrt64

X= 8cm

**Answer:**

The 90% confidence interval is (1408.325 hours, 2115.675 hours).

**Step-by-step explanation:**

We have that to **find **our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

**Now**, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

**Now**, find M as such

In which s is the standard deviation of the sample. So

The** lower end** of the interval is the mean subtracted by M. So it is 1762 - 353.675 = 1408.325 hours.

The **upper end** of the interval is the mean added to M. So it is 6.4 + 0.3944 = 2115.675 hours.

The 90% confidence interval is (1408.325 hours, 2115.675 hours).