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sesenic [268]
3 years ago
9

What is the area of the two-dimensional cross section that is parallel to face ABC ?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Check the picture below.

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One shelf will hold 45 pounds of boxes. If you have to store 270 pounds of boxes, how many shelves will you need?
arlik [135]

Hi!

We will solve this using ratios, like this:

1 shelf holds 45 pounds

x shelves hold 270 pounds

______________________

x = (270*1)/45

x = 270/45

x = 6

6 shelves will be needed to hold 270 pounds of boxes.

Hope this helps!

6 0
3 years ago
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What is the least number of acute angles of quadrilateral can have​
Ira Lisetskai [31]

Two acute angles is the least amount.
7 0
3 years ago
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A map of New York has a scale of 1/2 inch : 5 miles. Cindy knows the
saveliy_v [14]

Answer:

8.5 inches

Step-by-step explanation:

1/2 in = 5 miles

? = 85 miles.

So you would do 85/5 to figure out how many times you have to multiply 5 to get to 85.

85/5= 17

So then you would multiply 17 by 1/2 to get the answer 8.5. So that would b 8.5 inches

7 0
3 years ago
What is the value of (Negative one-half)–4?
melamori03 [73]

Answer:it is 16

Step-by-step explanation:

3 0
3 years ago
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A random variable x follows a normal distribution with mean d and standard deviation o=2. It is known that x is less than 5 abou
Vaselesa [24]

Answer:

The mean of this distribution is approximately 3.96.

Step-by-step explanation:

Here's how to solve this problem using a normal distribution table.

Let z be the

\displaystyle z = \frac{x - \mu}{\sigma}.

In this question, x = 5 and \sigma = 2. The equation becomes

\displaystyle z = \frac{5 - \mu}{2}.

To solve for \mu, the mean of this distribution, the only thing that needs to be found is the value of z. Since

The problem stated that P(X \le 5) = 69.85\% = 0.6985. Hence, P(Z \le z) = 0.6985.

The problem is that the normal distribution tables list only the value of P(0 \le Z \le z) for z \ge 0. To estimate  z from P(Z \le z) = 0.6985, it would be necessary to find the appropriate

Since P(Z \le z) = 0.6985 and is greater than P(Z \le 0) = 0.50, z > 0. As a result, P(Z \le z) can be written as the sum of P(Z < 0) and P(0 \le Z \le z). Besides, P(Z < 0) = P(Z \le 0) = 0.50. As a result:

\begin{aligned}&P(Z \le z)\\ &= P(Z < 0) + P(0 \le Z \le z) \\ &= 0.50 + P(0 \le Z \le z)\end{aligned}.

Therefore:

\begin{aligned}&P(0 \le Z \le z) \\ &= P(Z \le z) - 0.50 \\&= 0.6985 - 0.50 \\&=0.1985 \end{aligned}.

Lookup 0.1985 on a normal distribution table. The corresponding z-score is 0.52. (In other words, P(0 \le Z \le 0.52) = 0.1985.)

Given that

  • z = 0.52,
  • x =5, and
  • \sigma = 2,

Solve the equation \displaystyle z = \frac{x - \mu}{\sigma} for the mean, \mu:

\displaystyle 0.52 = \frac{5 - \mu}{2}.

\mu = 5 - 2 \times 0.52 = 3.96.

3 0
3 years ago
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