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4 years ago

How many integers between 2 and 61 are prime numbers inclusive?

2 answers:

6 0

"Prime" redirects here. For other uses, see Prime (disambiguation). Demonstration, with Cuisenaire rods, that the number 7 is prime, being divisible only by 1 and 7 A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 is either a prime itself or can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 Â· 3, 1 Â· 1 Â· 3, etc. are all valid factorizations of 3.

balu736 [363]4 years ago

5 0

The prime numbers from 2 to 61, inclusive, are
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, and 61

That's 18 numbers total (you can do the counting to check).

Have an awesome day! :)

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The table shows a proportional relationship.

sergey [27]

.8 is the answer you add .8 to x

4 0

3 years ago

Ten bagels and four muffins cost $13. Five bagels and eight muffins cost $14. How much does a bagel cost? How much does a muffin

morpeh [17]

We are going to define two equations where b means bagels and m will be muffins, First equation: 10*b + 4*m = 13 Second equation: 5*b + 8*m = 14 From the second equation, we can isolate b: b = (14 - 8*m)/5 In the second equation 10*(14 - 8*m)/5 + 4*m = 13 2*(14 - 8*m) + 4*m = 13 28 - 16*m + 4*m = 13 28 -13 = 16*m - 4*m 15 = 12*m m = 15/12 = 1.25 Then b = (14 - 8*m)/5 = (14 - 8*1.25)/5 = 4/5 = 0.8 So one bagel costs $0.8 and one muffin $1.25

6 0

3 years ago

A television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Angelina_Jolie [31]

Answer: a)2206 b) 2209

Step-by-step explanation:

Formula to find the sample size :

a) If prior population proportion (p) is known.

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

b) If prior population proportion (p) is unknown.

$n=0.25(\dfrac{z_{c}}{E})^2$

where, ${z_{c}$ is the z-value associated with confidence level and E would be the margin of error .

Solution : Let p be the proportion of citizens who "follow professional football."

a) Given : p=0.48

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.48(1-0.48)(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2205.4656\approx2206$ [Rounded to the next whole number.]

∴ The sample size is 2206.

b) Proportion of citizens who "follow professional football" is unknown.

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=0.25(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.25(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2209$

∴ The sample size is 2209.

8 0

3 years ago

Please help lol I forgot how to do this

natka813 [3]

Answer: C

Step-by-step explanation:because he will need to write an inequity to represent the total number of hours he can work each week . SO HE can see if he is making more then 120$ per week . No problem thanks me later

4 0

3 years ago

Read 2 more answers

What value of x makes the equation true?

Aleksandr [31]

♥ Answer: x=-6.9

Solve:
You need to Simplify both sides of the equation.
 $806.265=-116.85x$
Now: Flip the equation.
 $-116.85x=806.265$ 
Lastly Divide both sides by -116.85.
 $\frac{-116.85x}{-116.85} = \frac{806.265}{-116.85}$

Final answer: x=-6.9

6 0

3 years ago