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3 years ago

Please solve using the image. No links.

Mathematics

2 answers:

anzhelika [568]3 years ago

8 0

Closed dot because the sign is greater or equal
Hope this helps

Musya8 [376]3 years ago

7 0

Answer:

For the graph, use the segment that is filled in at the start of it, that shows the X is equal to or more than -10.

Read more on percentages;

brainly.com/question/16865197

#SPJ1

7 0

2 years ago

A monument in the shape of a right triangle sits on a rectangular pedestarl that is 7 meters high by 16 meters long. The longest

Minchanka [31]

Answer: 70 meters

Step-by-step explanation:

Hi, since the situation forms a right triangle and a rectangle, we have to apply the Pythagorean Theorem (for the triangle)

c^2 = a^2 + b^2

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other sides.

Replacing with the values given:

65^2 = 16^2 + x^2

4,225 = 256 + x^2

4,225-256 = x^2

3,969=x^2

√3,969 =x

63=x

We have calculated the missing side of the triangle, now we have to add the height of the rectangle:

63 +7 =70 meters

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

What is the surface area of this present

ZanzabumX [31]

Answer:

2400

Step-by-step explanation:

7 0

3 years ago

Tompkins Associates reports that the mean clear height for a Class A warehouse in the United States is 22 feet. Suppose clear he

coldgirl [10]

Given Information:

Mean clear height = μ = 22 feet

Standard deviation of clear height = σ = 4 feet

Required Information:

a) P(X > 16) = ?

b) P(X < 14) = ?

c) P(25 < X < 30) = ?

Answer:

a) P(X > 16) = 93.12%

b) P(X < 14) = 2.27%

c) P(25 < X < 30) = 20.39%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

a) We want to find out the probability that the clear height is greater than 16 feet.

$P(X > 16) = 1 - P(X < 16)\\\\P(X > 16) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 16) = 1 - P(Z < \frac{16 - 22}{4} )\\\\P(X > 16) = 1 - P(Z < \frac{-6}{4} )\\\\P(X > 16) = 1 - P(Z < -1.5)\\\\$

The z-score corresponding to -1.5 is 0.0668

$P(X > 16) = 1 - 0.0668\\\\P(X > 16) = 0.9312\\\\P(X > 16) = 93.12 \%$

Therefore, the probability that the clear height is greater than 16 feet is 93.12%

b) We want to find out the probability that the clear height is less than 14 feet

$P(X < 14) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 14) = P(Z < \frac{14 - 22}{4} )\\\\P(X < 14) = P(Z < \frac{-8}{4} )\\\\P(X < 14) = P(Z < -2)\\\\$

The z-score corresponding to -2 is 0.02275

$P(X < 14) = 0.02275\\\\P(X < 14) = 2.27 \%$

Therefore, the probability that the clear height is less than 14 feet is 2.27%

c) We want to find out the probability that the clear height is between 25 and 30 feet.

$P(25 < X < 30) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(25 < X < 30) = P( \frac{25 - 22}{4} < Z < \frac{30 - 22}{4} )\\\\P(25 < X < 30) = P( \frac{3}{4} < Z < \frac{8}{4} )\\\\P(25 < X < 30) = P( 0.75 < Z < 2 )\\\\$

The z-score corresponding to 0.75 is 0.7734 and 2 is 0.9773

$P(25 < X < 30) = P( Z < 2 ) - P( Z < 0.75 ) \\\\P(25 < X < 30) = 0.9773 - 0.7734 \\\\P(25 < X < 30) = 0.2039\\\\P(25 < X < 30) = 20.39 \%$

Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 20.39%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

6 0

3 years ago