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mamaluj [8]
3 years ago
11

Circle A contains all positive odd numbers; circle B contains all factors of 33, and circle C contains all prime numbers. How ma

ny numbers belong to all three circles?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0
3 and 11 are the only two because 33 only has four factors: 1,3,11,33.
1 - in some cases people say this is prime, but it is now widely considered to not be a prime number
3 - prime
11- prime
33 - not prime, divisible by 3 and 11
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lord [1]
Use the app Photomath it literally helps with everything and it explains
7 0
3 years ago
A lifeguard is in a look out chair and sees a person in distress. The eye level of the lifeguard is 15 feet above the ground. Th
faltersainse [42]

Answer:

Horizontal distance between lifeguard and the person is 22 feet.

Step-by-step explanation:

Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.

To find: Horizontal distance between lifeguard and the person.

Solution : If we draw a triangle then tan∅ = \frac{height}{base}

               Here base is the horizontal distance.

               Now we put the values in the formula.

               tan 34° = \frac{15}{base}

              Or Base = \frac{15}{tan34}

                             = \frac{15}{0.675} = 22.22 feet

So the answer is 22 feet.

7 0
3 years ago
. A trader bought A TV set for Birr 2000 and sold it at loss of 11/2% what:was the selling price?​
olga nikolaevna [1]

Answer:

1890

Step-by-step explanation:

Loss = 11/2 % = 5.5 %

Cost price = 2000

Loss = 5.5% of cost price

         = 5.5% * 2000

         = \frac{5.5}{100}*2000\\\\= 5.5*20\\= 110

Selling price = Cost price - loss

                      = 2000 - 110

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6 0
3 years ago
Average precipitation for the first 7 months of the year, the average precipitation in toledo, ohio, is 19.32 inches. if the ave
Colt1911 [192]
Part A:

The probability that a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \  \frac{a-\mu}{\sigma}\right)

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that <span>a randomly selected year will have precipitation greater than 18 inches for the first 7 months is given by:

P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\  \\ =1-P\left(z\ \textless \ \frac{18-19.32}{2.44}\right) \\  \\ =1-P(z\ \textless \ -0.5410) \\  \\ =1-0.29426=\bold{0.7057}



Part B:

</span>The probability that an n randomly selected samples of a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\frac{\sigma}{\sqrt{n}}}\right)

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that <span>5 randomly selected years will have precipitation greater than 18 inches for the first 7 months is given by:

</span>P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{\frac{2.44}{\sqrt{5}}}\right) \\ \\ =1-P(z\ \textless \ -1.210) \\ \\ =1-0.1132=\bold{0.8868}
7 0
3 years ago
What is the solution to 0.4(12 – 3x) = 0.3(12x – 16)?
TiliK225 [7]

Answer:

x = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

0.4(12 - 3x) = 0.3(12x - 16)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                4.8 - 1.2x = 3.6x - 4.8
  2. Add 1.2x on both sides:          4.8 = 4.8x - 4.8
  3. Add 4.8 on both sides:           9.6 = 4.8x
  4. Divide 4.8 on both sides:       2 = x
  5. Rewrite:                                   x = 2
8 0
3 years ago
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