To test whether an integer, $n$, is prime, it is enough to be sure that none of the primes less than or equal to the square root of $n$ divide $n$. If you want to check that a number between 900 and 950 is prime with this rule, what is the largest prime divisor you need to test

Answers

Answer 1

Answer:

the largest divisor is less than the square root of that number

Step-by-step explanation:

Pick any number between 900 and 950 . For example I choose 937 . Now taking the square root of 937 would give 30.61

So divide 937 with all the primes less  than 30.61

937/2, 937/3, 937/5,...................937/29

29 would be the largest divisor which is less than the square root of 937 .

29< 30.61

But if you check 937 does not divide wholly with any of the primes hence it is a prime number itself.

If any number such 925 is chosen and it gets divided wholly by another prime like 5

925 /5= 185  so it is not a prime number


Related Questions

Domain is the set of all input values, while range is the set of all:

a. independent variables
b. output values
c. relations
d. functions

Please select the best answer from the choices provided.​

Answers

b. output values is the best answer

Drew wrote three equations.
32 = ? x4
56 : 7 = ?
?×? = 64
What number will make all of Drew's equations true? Enter your answer in the box.
? =

Answers

Answer:

8

Step-by-step explanation:

4*8=32

7*8=56

8*8=64

Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability that less than 348 U.S. citizens have green eyes is _______.

Answers

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

[tex]X \sim Bin(n = 1200,p =0.3)[/tex]

The Binomial can be approximated to normal with:

[tex]\mu = np = 1200 \times 0.3 \\ \\ \mu= 360[/tex]

[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875[/tex]

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, [tex]\mu[/tex] = 360, [tex]\sigma[/tex] = 15.875

Using the z test statistics;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

[tex]z = \dfrac{347.5 - 360}{15.875}[/tex]

[tex]z = \dfrac{-12.50}{15.875}[/tex]

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

you want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable preliminary estimation for the population proportion. you would like to be 95% confident that you estimate is within 2% of the true population proportion. how large of a sample size is required

Answers

Answer:

The value is  [tex]n =2401  [/tex]

Step-by-step explanation:

From the question we are told that  

 The  margin of error is  E = 2%= 0.02

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Here we are going to assume that the sample proportion is  [tex]\^ p = 0.50[/tex]

  Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>   [tex]n =[\frac{ 1.96 }{ 0.02} ]^2 * 0.5 (1 -0.5  ) [/tex]

=>    [tex]n =2401  [/tex]

 

A square pyramid is shown. What is the surface area?

A square based pyramid, with bases labeled 2.5 centimeters and side length of triangle labeled 5 centimeters.
(4 points)

15.25 cm2
15.625 cm2
31.25 cm2
62.625 cm2

Answers

Answer:

C. 31.25 cm²

Step-by-step explanation:

Surface area comprises of:

A = Area of square base + 4(area of triangle faces)A = 2.5² + 4*1/2*2.5*5= 31.25 cm²

Correct option is C

Answer:

its 31.25 i took the test and got it right

Step-by-step explanation:

Best answer gets brainiest. Ariel hiked to a famous point with a beautiful view. It took 2 hours and 20 minutes to hike to the viewpoint and 55 minutes to hike back. Ariel spent 1 hour and 40 minutes enjoying the view at the top. She finished the hike at 2:55 P.M. What time did Ariel start the hike to the viewpoint?

Include A.M. or P.M. in your answer.

Answers

Answer:

10: 00 AM

Step-by-step explanation:

2 hr 20 minutes +55 min= 3 hours 15 minutes

3. 15+  1 hr 40 min= 4 55 min

2: 55 pm- 4 hours and 55 minutes= 10 am

Answer:

Ariel starts hiking at 10:00am

Step-by-step explanation:

    2hr 20min

+          55min

+    1hr 40min

————————

   4hr 55min total time spent hiking.

14:55 - 4hr 55min = 10:00

2:55 pm - 4hr 55min = 10:00am

1. If x=3-√3,
prove that x²
+36

= x²

Answers

Answer:

we get [tex]x^2=12-6\sqrt{3}[/tex]

Step-by-step explanation:

We are given: [tex]x=3-\sqrt{3}[/tex]

We need to find [tex]x^2[/tex]

Note: Since question is not clear, I am assuming that we need to find [tex]x^2[/tex]

Solving:

[tex]x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\[/tex]

We know that [tex](a-b)^2= a^2-2ab+b^2[/tex]

Using formula and simplifying

[tex]x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\[/tex]

So, we get [tex]x^2=12-6\sqrt{3}[/tex]

I’ll give you a brain list !
Suzie is making macaroni for her cousin's birthday party. For every 9 cups of macaroni, she needs to use 27 cups of water. Match the proportional relationships in the table Suzie can use.

Answers

Answer: 1 cup of macaroni for 3 cups of water

Step-by-step explanation:

9/27 divided 3=1 cup/3 cup

Which expression is equivalent to
2.2

2.5
2.2−2.5?
A
2.5−2.22.5−2.2
B
2.2+2.52.2+2.5
C
2.2+(−2.5)2.2+(

2.5)
D
2.2−(−2.5)2.2−(

2.5)

Answers

Answer:

The answer is = A

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Graph the following system of equations and find where they meet 3x + 5y = 36 y = 5x - 4

Answers

Answer:

[2,6]

Step-by-step explanation:

3x+5y=36

5x-4=y

3x+5(5x-4)=36

3x+25x-20=36

28x-20=36

28x=56

x=2

5x-4=y

5*2-4=y

10-4=y

6=y

help!!!!
Which of the following is a common denominator for 1/4 and 1/6?
6
10
18
24

Answers

24, because you can just multiply 4 by 6 which is 24

Answer:

24

Step-by-step explanation:

Just multiply the two denominators 4 and 6. 4x6=24 so the answer is 24.

In a study investigating a link between walking and improved​ health, researchers reported that adults walked an average of minutes in the past month for the purpose of health or recreation. Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is than minutes.

Answers

Complete question is;

In a study investigating a link between walking and improved​ health, researchers reported that adults walked an average of 873 minutes in the past month for the purpose of health or recreation.

Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 873 minutes

Answer:

Null Hypothesis: H0: μ = 873

Alternative hypothesis: Ha: μ < 873

Step-by-step explanation:

From the study, the claim is that the true average number of minutes gotten from the population average in the past month that the adults had walked for the purpose of health or recreation is lower than the average of 873 minutes.

Now, the population study says it's equal to 873 minutes.

Thus, the hypotheses can be written as;

Null Hypothesis: H0: μ = 873

Alternative hypothesis: Ha: μ < 873

i will give you brainliest and give you 50 point if you help me

Answers

Answer:

10:16

Step-by-step explanation:

If there are 16 total animals and 10 of them are racoons, then 6 are squirrels which makes them 10:6 ratio.

(BTW I LOVE UR BAKUGOU PFP)

Answer:

the answer will be 10:16

Step-by-step explanation:

Which list the students in order greatest distance from school to least distance 1.Katie,ramona,josie,Katie.2.katie,josie,romona,teri 3.teri,Ramona,josie,katie 4.Ramona,teri,katie,josie

Answers

Answer: Katie, Josie, Ramona, Teri

Step-by-step explanation:

Answer:

1.Katie,ramona,josie,Katie.2.katie,josie,romona,teri 3.teri,Ramona,josie,katie 4.Ramona,teri,katie,josie

Step-by-step explanation:

Can Someone help me!

Answers

Answer:< IJL= 63°

Step-by-step explanation:

as AB||CD, EF||GH, KLJI is a paralellogram, & the opposite angles of paralellogram are equal. So,< IJL= <IKL=63°

In the figure below, Triangle FGH and Triangle JKHare right triangles.
15
12
What is the length of segment KH?

Answers

Answer:

5

Step-by-step explanation:

∆FGH is similar to ∆JKH. Therefore, their corresponding lengths are proportional to one another. Thus:

[tex] \frac{GH}{KH} = \frac{FH}{JH} [/tex]

GH = x + 15

KH = x

FH = 12 + 4 = 16

JH = 4

Plug in the values

[tex] \frac{x + 15}{x} = \frac{16}{4} [/tex]

Cross multiply

[tex] (x + 15) \times 4 = 16 \times x [/tex]

[tex] 4x + 60 = 16x [/tex]

Subtract 4x from each side

[tex] 60 = 16x - 4x [/tex]

[tex] 60 = 12x [/tex]

Divide both sides by 12

x = 5

KH = x = 5

Shaun estimated that the attendance at a college game was 1,200 people. The actual attendance was 1,158. What is the percent error of Shaun's estimate? (Round your answer to the nearest tenth) HELP!!! PLEASE THIS IS MY LAST POINT I CAN DO PLEASE PLEASEPLEAPLEAPLEAPLSEPAEEASE HELP

Answers

Answer:

3.5%

Step-by-step explanation:

1200-1158=42

42/1200 =0.035

0.035×100=3.5%

True or false? Help me out

Answers

Answer:

False, becasue 8*1/2 is 4 and 4 doesn't equal 16

Step-by-step explanation:

False. 8 x 1/2 = Half of 8, which is not 16.

Se ha preguntado a un grupo de personas jubiladas el número de veces que han ido al teatro en el
último año. Las respuestas se recogen en esta tabla:
N.º DE VECES 0 1 2 3 4 5
N.º DE PERSONAS 2 20 41 26 9 2
Halla la media y la desviación típica.

Answers

Answer:

can please give clear clarification on English

The lines P an Q intersect at point O. What is the value of x?

Answers

Answer:

17

Step-by-step explanation:

you add the b and x coordinate divide it by 2 to get the value of p and q which you then divide by the value of ur mom to get x

Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class. A 5-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, total. The second column is labeled Spanish with entries 107, 56, 89, 252. The third column is labeled French with entries 122, 68, 82, 272. The fourth column is labeled German with entries 6, 14, 8, 28. The fifth column is labeled Total with entries 235, 138, 179, 552. Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A). A and B are independent events because P(A∣B) = P(B). A and B are not independent events because P(A∣B) ≠ P(A). A and B are not independent events because P(A∣B) ≠ P(B).

Answers

Answer:

A) A and B are independent events because P(A∣B) = P(A).

Step-by-step explanation:

Egde 2020

Answer: OPTION A

Step-by-step explanation:

The list shows the number of miles six people drove in a month .
445, 380, 365, 375, 370, 315

What is the mean absolute deviation of these numbers ?

Answers

The Mean (μ) = 375
Mean Absolute Deviation (MAD) = 25

Dec 4,
PM
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1, 4) and (-9, --6).

Answers

Answer:

y = -0.8x - 5

Step-by-step explanation:

x1 = (XA + XB) / 2 = -5

y1 = (YA + YB) / 2 = -1

m = (XA - XB) / (YA - YB) = -0

__________________________________________

(y - -1) = -0.8(x - -5)

y - -1 = -0.8x - 4

y = -0.8x - 4 + -1

y = -0.8x - 5

please help!! 10+ points

Answers

Answer:

i dont see the question

Step-by-step explanation:

Kylie drove 406 miles in 7 hours. If she continued at the same rate, how far would she travel in 19 hours?

Answers

Answer:

1,102

Step-by-step explanation

406/7=56 (unit rate)

56*19=1102

Answer:

The answer is 1,102

Step-by-step explanation:

First, we need to figure out how much per hour.

406 divided by 7 = 58

Now we multiply by the hours

58 x 19 = 1,102

#LearnWithBrainly

help me please......​

Answers

Answer:

I was told it was D

Step-by-step explanation:

What is an equation parallel to y=3x-5

Answers

Answer:

ANY line that has a slope of 3, and any y intercept other than -5.

Step-by-step explanation:

Parallel lines have the same slopes, but different y intercepts.

So, it would be ANY line that has a slope of 3, and any y intercept other than -5.

here are a few examples:

y=3x-17

y=3x+4

y=3x+3293248032843209.3432492384032984032984023840398249082

y=3x+5

y=3x-1

y=3x

Help Me PLEASESESESESES!

Answers

Answer:

5375 should be it

Step-by-step explanation:

A store has 300 televisions on order, and 40% are high definition. How many televisions on order are high definition? You may find the bar model useful in completing this problem.

Answers

Answer:

120

Step-by-step explanation:

There are 120 high definition televisions are in Order.

What is Percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here,

Total television = 300

Percentage of High definition television = 40%

Number of total high definition television = 40/100 X 300

                                                                     = 40 X 3

                                                                     = 120

Thus, There are 120 high definition televisions are in Order.

Learn more about Percentage from:

https://brainly.com/question/14979505

#SPJ2

West Junior High needs to buy new fencing to go around Evaluate the formula for the perimeter of a rectangle to
its swimming pool. Determine the amount of fencing it will solve the problem. Then check all that apply.
need by finding the perimeter of the pool.
First, write the formula for the perimeter of a
Pool Perimeter
rectangle: P = 21 +2w.
P=21 +2w
Next, use parentheses when you substitute 50 for 1
and 25 for w.
1 = 50 meters
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
w = 25
The school needs 150 meters of fencing.
meters

Answers

Answer:

1,2,3, and 5 :]

Step-by-step explanation:

Answer:

1

2

3

5

are the answers edg 2021 hope you have a good day/night

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