What is the area of the circular base <br><br> Pls help test due today

Suppose that the commuting time on a particular train is uniformly distributed between 42 and 52 minutes. Bold a. What is the pr

nikdorinn [45]

Answer: 0.2

Step-by-step explanation:

Given: The commuting time on a particular train is uniformly distributed over the interval (42,52).

∴ The probability density function of X will be :-

$f(x)=\dfrac{1}{b-a}\\\\=\dfrac{1}{52-42}=\dfrac{1}{10}, 42$

Thus, the required probability :-

$P(X$

Hence, the probability that the commuting time will be less than 44 minutes= 0.2

7 0

3 years ago

Melanie buys a carrying case for her new laptop, which costs 125% as much as her old laptop case. The price of her new laptop ca

djverab [1.8K]

Answer:

The cost of her old laptop would be $52.

Step-by-step explanation:

$\frac{125\%}{65 \: dollars} = \frac{100\%}{n}$

4 0

3 years ago

What is -9.75 as a fraction

likoan [24]

The answer to your problem is -9 and 3/4.

4 0

3 years ago

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Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square. Isolate the constant b

Tomtit [17]

"Isolate the constant by adding 7 to both sides of the equation."
This step separates the non-squareable 7 and the squareable $x^2 - 6x$ .

"Add 9 to both sides of $x^2 - 6x = 7$ to form a perfect square trinomial while keeping the equation balanced."
After separating the non-squareable, add the number which makes the first or left side a perfect square trinomial. The formula to find the number is: $c = {\frac{b}{2} }^{2}$ .
When we plug the values: $c = { \frac{ - 6}{2} }^{2}$
Simplify: $c = {( - 3)}^{2} = 9$

"Write the trinomial $x^2 - 6x + 9$ as $(x - 3)$ squared."
When you factor $x^2 - 6x + 9$ , you will get $(x - 3) \times (x - 3)$ .

"Use the square root property of equality to get $x - 3 = ± \sqrt{16}$ ."
The 16 is coming from the part when we add 9. We needed 9 on the left side for a perfect square, but to protect the balance of the equality, we need to add 9 to the right side too. When we add 7 and 9, we got 16, and that is where it came from.

"Isolate the variable x to get solutions of -1 and 7."
To isolate x we branched the plus-minus sign:
$x - 3 = 4 \: \: \: x = 4 + 3 = 7 \\ \\ x - 3 = - 4 \: \: \: x = - 4 + 3 = - 1$

8 0

3 years ago

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Come up with an example of three side lengths that can NOT possibly make a triangle, and explain how you know. Select ALL of the

horsena [70]

Answer:

The choices are

(a) 1 foot, 1 inch, and 1 inch

(b) 10 inches, 3 inches, and 5 inches

(c) 8 cm, 4 cm, and 2 cm

(d) 14 m, 10 m, and 7 m

(e) 1 foot, 10 inches, and 7 inches

(f) 45 mm, 23 mm, and 38 mm

The options that CANNOT form a triangle are

(a), (b) and (c)

Step-by-step explanation:

An example of three side lengths that can not possibly make a triangle is

5 inches, 2 inches and 2 inches

This is because the sum of the other two sides is less than the length of the third side so their will not meet if they try to form a triangle

Select ALL of the answers below that CANNOT form a triangle. Group of answer choices

(a) 1 foot, 1 inch, and 1 inch

1 foot = 12 inches, so 12 inches , 1 inch, 1 inch will not form a triangle because as stated above, their ends will not meet

(b) 10 inches, 3 inches, and 5 inches

Similarly 3 inches + 5 inches = 8 inches < 10 inches. Hence not a triangle

(c) 8 cm, 4 cm, and 2 cm

4 cm + 2 cm = 6 cm < 8 cm. Hence not a triangle

(d) 14 m, 10 m, and 7 m

10 m + 7 m = 17 m > 14 m. Therefore they will form a triangle

(e) 1 foot, 10 inches, and 7 inches

10 inches + 7 inches = 17 inches > 12 inches. Therefore they will form a triangle

(f) 45 mm, 23 mm, and 38 mm

23 mm + 38 mm = 61 mm < 45 mm. Therefore they will form a triangle

Among the above choices, a, b, c will not form a triangle.

6 0

3 years ago

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What is the area of the circular base Pls help test due today