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2 years ago

10

quinn has a bucket of nails that he separates into groups.He finds that 2/5 of his nails are 2 inches long, and 1/3 of his nails

are 3 inches long. The rest of the nails are different sizes. How many nails are either 2 or 3 inches long?

1 answer:

Leokris [45]2 years ago

8 0

11/15 of nails are 2 or 3 inches long

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Can someone help me with these two please , i’ll cashapp

Pavel [41]

3. 180 - (53+68) = 59

The answer is B. 59°

4.
Part A: The measure of a is 70°.

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Part B: The length of x is 5m.

Explanation. The triangle is an isosceles triangle. We know this because the two angles on the base are equal. Since this is an isosceles triangle, the two longer sides are the same length. Therefore: x = 5 m.

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2 years ago

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3 years ago

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The probability density function of the time you arrive at a terminal (in minutes after 8:00 A.M.) is f(x) = 0.1 exp(−0.1x) for

Blababa [14]

$f_X(x)=\begin{cases}0.1e^{-0.1x}&\text{for }x>0\\0&\text{otherwise}\end{cases}$

a. 9:00 AM is the 60 minute mark:

$f_X(60)=0.1e^{-0.1\cdot60}\approx0.000248$

b. 8:15 and 8:30 AM are the 15 and 30 minute marks, respectively. The probability of arriving at some point between them is

$\displaystyle\int_{15}^{30}f_X(x)\,\mathrm dx\approx0.173$

c. The probability of arriving on any given day before 8:40 AM (the 40 minute mark) is

$\displaystyle\int_0^{40}f_X(x)\,\mathrm dx\approx0.982$

The probability of doing so for at least 2 of 5 days is

$\displaystyle\sum_{n=2}^5\binom5n(0.982)^n(1-0.982)^{5-n}\approx1$

i.e. you're virtually guaranteed to arrive within the first 40 minutes at least twice.

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3 years ago

Solve: 9-2x = 4x + 33

worty [1.4K]

Simplifying
4x+-9= 2x + 33
Reorder the terms:
-9+4x = -2x + 33
Reorder the terms:
-9 + 4x = 33 + -2x
Solving:
-9 + 4x = 33 + -2x
Answer: x = 7

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2 years ago

Applying the Pythagorean Theorem Warm-up What is the value of x? 10 8

sukhopar [10]

Answer:

<h3>x = 6</h3>

Step-by-step explanation:

According to pythagorean theorem

a² = b² + x²

a is the hypotenuse

b and x are the opposite and adjacent

Let a = 10

b = 8

Substitute and get x:

10² = 8²+x²

x² = 10²-8²

x² = 100-64

x² = 36

x = √36

x = 6

<em>Hence the value of x is 6</em>

<em></em>

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2 years ago