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3 years ago

a shop sells sweets in bags of 7 and 20 what is the largest number of sweets that cannot be purchased exactly?

1 answer:

8 0

By the Frobenius Coin Theorem, also known as the Postage Stamp Theorem or the Chicken McNugget Theorem, the maximum amount that cannot be represented as a sum of multiples of two relatively prime numbers a and b (numbers that have GCF of 1) is ab-a-b. Plugging 7 and 20 in, our answer is 7*20-7-20, or 140-27, or 113.

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In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th

ehidna [41]

Question:

In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.) (a) 18 years of age (b) 20 years of age (c) 30 years of age

Answer:

A.) 0.0064

B.) 0.0625

C.) 0.5776

Step-by-step explanation:

Given the following :

Married by 18th birthday = 8% = 0.08

Married by 20th birthday = 25% = 0.25

Married by 30th birthday = 76% = 0.76

In a family with two(2) daughters :

P(First daughter will be married by 18) = 0.08

P(second daughter will be married by 18) = 0.08

P(1st and 2nd married by 18) = (0.08×0.08) = 0.0064

B.)

P(First daughter will be married by 20) = 0.25

P(second daughter will be married by 20) = 0.25

P(1st and 2nd married by 20) = (0.25×0.25) = 0.0625

C.)

P(First daughter will be married by 30) = 0.76

P(second daughter will be married by 30) = 0.76

P(1st and 2nd married by 30) = (0.76×0.76) = 0.5776

6 0

2 years ago

If sin theta = sqrt(2/2), which could not be the value of theta?

Nataliya [291]

The solution would be like this for this specific problem:

sin(θ°) = √(2)/2

θ° = 360°n + sin⁻¹(√(2)/2) and θ° = 360°n + 180° − sin⁻¹(√(2)/2)
θ° = 360°n + 45° and θ° = 360°n + 135° where n∈ℤ

360°*0 + 45° = 45°
360°*0 + 135° = 135°
360°*1 + 45° = 405°

<span>sin(225°) = -√(2)/2

</span>225 has an angle where sin theta= -(sqrt2)/2 therefore, the value of theta cannot be 225 degrees.

4 0

3 years ago

Read 2 more answers

How are problems like these solved

Flura [38]

the angles on the opposite sides of a quadrilateral touching the circumference adds up to 180 degrees

so,

(21x-2) + (38x +5) = 180

21x+38x −2+5=180

59x+3=180

59x=177

x=3

4 0

2 years ago

Rounding 552,945 with the first 5 underlined

NISA [10]

553,000 is the answer for rounding up

8 0

3 years ago

Charmaine is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 12 feet and its width is 10 feet.

Nana76 [90]

Answer:

4 bags

Step-by-step explanation:

lxw

12x10=120

30x4=120

l=length

w=width

6 0

3 years ago