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3 years ago

19. Calculate the size of the angle marked x in the diagram.

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

8 0

Answer:

x = 151°

Step-by-step explanation:

(n - 2)180° =

= (6 - 2)180°

= 720°

x = 720° - 126° - 57° - 221° - 70° - 95°

x = 151°

algol [13]3 years ago

7 0

Answer:

151°

Step-by-step explanation:

126°+221°+95°+57°+70+x=720° ( sum of interior angles of hexagon)

x + 569° =720°

x = 720°- 569°

=151°

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All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be

Aneli [31]

Answer:

There is a 2% probability that the student is proficient in neither reading nor mathematics.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student is proficient in reading

B is the probability that a student is proficient in mathematics.

C is the probability that a student is proficient in neither reading nor mathematics.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student is proficient in reading but not mathematics and $A \cap B$ is the probability that a student is proficient in both reading and mathematics.

By the same logic, we have that:

$B = b + (A \cap B)$

Either a student in proficient in at least one of reading or mathematics, or a student is proficient in neither of those. The sum of the probabilities of these events is decimal 1. So

$(A \cup B) + C = 1$

In which

$(A \cup B) = a + b + (A \cap B)$

65% were found to be proficient in both reading and mathematics.

This means that $A \cap B = 0.65$

78% were found to be proficient in mathematics

This means that $B = 0.78$

$B = b + (A \cap B)$

$0.78 = b + 0.65$

$b = 0.13$

85% of the students were found to be proficient in reading

This means that $A = 0.85$

$A = a + (A \cap B)$

$0.85 = a + 0.65$

$a = 0.20$

Proficient in at least one:

$(A \cup B) = a + b + (A \cap B) = 0.20 + 0.13 + 0.65 = 0.98$

What is the probability that the student is proficient in neither reading nor mathematics?

$(A \cup B) + C = 1$

$C = 1 - (A \cup B) = 1 - 0.98 = 0.02$

There is a 2% probability that the student is proficient in neither reading nor mathematics.

6 0

3 years ago

Plz help I need to understand and I don’t

aliina [53]

Answer:

B. $108 \: {in}^{2}$

Step-by-step explanation:

Total surface area of the square pyramid

= 4 times the area of one triangle + Area of square

$= 4 \times \frac{1}{2} \times 6 \times 6 + {6}^{2} \\ \\ = 72 + 36 \\ \\ = 108 \: {in}^{2}$

3 0

3 years ago

Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch -

liubo4ka [24]

Answer: 144 feet

Step-by-step explanation:

Well solving for area you multiply length times wedth. So multiply 8 and 6 to get 48. Now you have to convert 48 inches into feet. So just multiply 48 times 3 to get 144.

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3 years ago

A number is multiplied by 5. If 12 is added to the product you get 37.

Korolek [52]

5x+12=37

5x=25

x=5

I hope this helps

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4 years ago

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zvonat [6]

Answer:

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Step-by-step explanation:

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