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LUCKY_DIMON [66]
3 years ago
5

Daria selected a number from the positive integers less than 10. What is the probability that she selected a prime number?

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0

Answer:

  4/9

Step-by-step explanation:

There are 9 positive integers less than 10: {1, 2, 3, 4, 5, 6, 7, 8, 9}.

The 4 primes less than 10 are ... {2, 3, 5, 7}.

The probability Daria selected a prime is 4/9.

Misha Larkins [42]3 years ago
5 0

Answer:

4/9

Step-by-step explanation:

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Stacy bakes 14.5 pies in 6 hours. How many pies would she bake in 9 hours? (explain how to solve and solve and the answer)
Olenka [21]

Answer:

21.75 pies

Step-by-step explanation:

First, we can find the speed that Stacy takes to bake pies per hour before solving for how many pies she can bake in 9 hours.

s=14.5pies/6hours

s=\frac{29}{12}pies/hour

Pies Stacy bakes in 9 hours =\frac{29}{12}\times9

=21.75 pies

∴ Stacy bakes 21.75 pies in 9 hours

Hope this helps :)

5 0
3 years ago
10. The Johnson family purchased a new television that had a 62 inch diagonal. The height of the television was 30 inches. Appro
lana66690 [7]

Answer:

Width = 54.3 inches

Step-by-step explanation:

We solve this question using the Pythagoras Theorem

Width² + Height² = Diagonal²

From the above question

Width= ??

Height = 30 inches

Diagonal = 62 inches

Width² + 30² = 62²

Width² = 62² - 30²

Width = √62² - 30²

Width =✓2944

Width = 54.258639865 inches

Approximately

Width = 54.3 inches

Hence, the new television was 54.3 inches wide.

7 0
3 years ago
5) Use the diagram and the Pythagorean Theorem to find the EXACT area of square ABCD.
dimaraw [331]
I think the answer is C
8 0
2 years ago
A farmer wants to fence in a rectangular field of livestock. The boundary for one side of the field is a long, straight river. N
Anit [1.1K]

Answer:

To get maximum area, the dimensions will be;

l = 200 and b = 100

Step-by-step explanation:

Given the data in the question;

No fencing is needed on this side as the farmer wants to fence 3 sides of a rectangular field with 400 m fencing.

now, let the two vertical length sides be x meter and the horizontal length be 400 - 2x

as shown in the image below;

so,

Area of rectangle = (400 - 2x) × x = 400x - 2x²

now, to maximize area 'A', we will make A' = 0

⇒ 400 - 2(2x) = 0

400 = 4x

x = 400/4 = 100

so

⇒ (400 - 2x) = 400 - 2(100) = 400 - 200 = 200

∴ Maximum area = ( 400 - 2x) × x

= 200 × 100

= 20000 m²

∴ To get maximum area, the dimensions will be;

l = 200 and b = 100

7 0
3 years ago
Pls help me on this k12 question.
andrew-mc [135]

Answer: The answer is A, 132 units

Step-by-step explanation:

8 0
3 years ago
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