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Olegator [25]
3 years ago
5

How many pairs of prime numbers have a sum of 24?​

Mathematics
2 answers:
Kitty [74]3 years ago
5 0

Answer:

Three pairs of prime numbers exist: 5 + 19 = 24, 7 + 17 = 24, 11 + 13 = 24.

Step-by-step explanation:

hope this helps :)

Mnenie [13.5K]3 years ago
4 0

Answer:

Three: 5 + 19 = 24, 7 + 17 = 24, 11 + 13 = 24.

Step-by-step explanation:

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Lyla is shopping for school supplies. She has $20.00 to spend. She plans to buy a package of pens for $4.98. She also wants to b
Ket [755]
<h3><em><u>Question:</u></em></h3>

Lyla is shopping for school supplies. She has $20.00 to spend. She

plans to buy a package of pens for $4.98. She also wants to buy a

calculator. All calculators are being sold for 30 percent less than the

original price. write an inequality that can be used to find the original price, x, of a calculator lyla can buy.

<h3><em><u>Answer:</u></em></h3>

4.98+0.7x\leq 20 inequality that can be used to find the original price, x, of a calculator lyla can buy

<h3><em><u>Solution:</u></em></h3>

Given that,

Lyla has $ 20 to spend

So she can spend entire $ 20 or less than $ 20

Total amount she has = $ 20

She  plans to buy a package of pens for $4.98

Cost of package of pens = $ 4.98

She also wants to buy a  calculator

Let "x" be the original price of calculator

All calculators are being sold for 30 percent less than the  original price

Selling price of calculator = original price - 30 % of original price

Selling price of calculator = x - 30 % of x = x - 0.3x = 0.7x

Selling price of calculator = 0.7x

<em><u>Thus a inequality can be framed as:</u></em>

Cost of package of pens + Selling price of calculator \leq 20

4.98+0.7x\leq 20

This means that, combined cost of package of pen and selling price of calculator must be less than or equal to the amount with Lyla ( 20 $ )

Thus the inequality is found

5 0
3 years ago
Krispy Kritters Cereal used to come in a
shtirl [24]

Answer:

1335cm³

Step-by-step explanation:

The question above says that,Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high and we are now asked to find "How many more cubic centimeters will the new box hold than the old box?

Now we are all aware that the volume of a cube or cuboid(since its a box ) is length multipled by width multiplied by the height.

And we were given the new dimensions which are;

12.5cm wide

6.2cm deep and

30cm high

Apply this given figures in the formula above and we have:

V = 12.5 × 6.2 × 30

= 4185cm³( this is the volume of the box)

Therefore,the difference in volume between the new box and the old box is

4185 - 2850 = 1335cm³

5 0
3 years ago
A college graduate is applying for a job and has 3 interviews with google. she passes the first, second, and third interviews wi
Usimov [2.4K]
<span>The probability she failed the interview is: 1 - probability she passed the interview. P( failed 1st interview) = 1 - 0.9 = 0.1 P(failed 2nd interview) = 1 - 0.8 = 0.2. P(failed 3rd interview) = 1 - 0.7 = 0.3 So we have that if she didn't get the job, the probability that she failed the second interview is 0.2</span>
6 0
3 years ago
Determine the equation of the circle graphed below.<br> Does anyone know the answer??
sp2606 [1]

Answer:

(x - 2)² + (y - 3)² = 2²

Step-by-step explanation:

Standard form

(x - h)² + (y - k)² = r²

(h, k) is the center = (2, 3)

r is the radius = 2

(x - 2)² + (y - 3)² = 2²

7 0
3 years ago
In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)
DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

  • Mean rate = 0.3
  • x = 50
  • standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431

b)

The probability the next call arrives after 2 hours.

\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

The mean = 360

The standard deviation is given as

S.D = \sigma =\sqrt{360} = 18.974\\

The probability the sum of these 50 number is less than 356 is

p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165

Learn more on poission formula here;

brainly.com/question/7879375

3 0
2 years ago
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