27. A prime factor of 2310 is chosen at random. What is the
probability that the chosen factor will be greater than 7?

Answers

Answer 1

Step-by-step explanation:

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.

Answer 2

The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.

Favourable outcome = 11 = 1

Total outcomes = ( 2,3,5,7,11) = 5

Probability = ( 1 / 5 )

Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

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Related Questions

What is the relationship between these two vectors?

Answers

Answer:

a and c

Step-by-step explanation:

that's because they both have a and c....so their relationship is a and c

solve pls brainliest

Answers

Answer:

neither, neither, terminating, repeating

Yeah, I think that the person above is correct

What is the midpoint of KL?

Answers

Answer:

Find the midpoint between the two points.

(4,4),(-1,2)


By which numbers (4,6,8 or 9) are the following numbers divisible?
(a) 3 786
(b) 4 136
(c) 15 342
(d) 87 312
(e) 85 572
(f) 1234 567

Answers

Answer:

option a as last digit even a d come in 3 table

I NEED HELP
Jayden’s grandmother gave him a $75 gift card for his birthday. He has spent a total of $38 so far. He wants to spend the rest of the money on baseball caps. Write an inequality that can be used to find the number of baseball caps Jayden can buy with the money he has left on the card if each baseball cap costs $9.49.

Answers

Answer:

38+9.49x < or = 100

Step-by-step explanation:

Suppose a binomial trial has a probability of success of 0.7, and 75 trials are performed. What is the standard deviation of the possible outcomes. Round your answer to two decimal places

Answers

Answer: 8.22

Step-by-step explanation:

By VCR Sales A dealer carries two models of VCRs. One sells for
$300 and the other sells for $225. The dealer sells 22 VCRs for a
total revenue of $5700. How many of each type did the dealer sell?

Answers

Answer:

2333

Step-by-step explanation:

Please answer this. I need and will give

Answers

At least give a clear picture bro

help asap for brainlist

Answers

Answer:

l=A/W

Step-by-step explanation:

Example:

Area = 500 m^2

w= 10m

L= Area/ W

L=500/10

L=50

To check this

A= L*W

500=50*10

B: L = A/w
Explanation: if your finding length you just have to get L by itself so you would divide by w to get w on the other side which would get you A divided by w

Find the percent of each number mentally.

A video controller cost $39. If a 6.75% sales tax is added, what is the total cost?

A. $2.63
B. $28.95
C.$41.63
D. $45.75

Answers

the correct answer is C

The total cost of the video controller is $41.63.

The correct option is C.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A video controller cost $39.

If a 6.75% sales tax is added,

that means,

6.75% of 39,

= 6.75 x 39 / 100

= 2.6325 taxed amount.

The total cost = 39 + 2.6325 = 41.63.

Therefore, $41.63 is the total cost.

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I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please help me?

Answers

The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows

(a) The number line solution contains zero

Using algebra, we have;

The given quadratic inequality is; -x² + 4 ≥ x + k

The number line solution is the expression of the solution on the number line.

We have;

-x² + 4 ≥ x + k

-x²  - x + 4 - k ≥ 0

Dividing by (-1), we get;

x² + x - 4 + k ≤ 0

When - 4 + k = -2

k = 2, we get;

x² + x - 4 + 2 ≤ 0

x² + x - 2 ≤ 0

(x - 1)·(x + 2) ≤ 0

Given that the result of the product is less than zero, we have;

((-3) - 1)·((-3) + 2) > 0

Therefore, the solution are;

x ≤ 1, or x ≥ -2

Which gives

-2 ≤ x ≤ 1

Using diagram;

The solution of the above inequality includes 0 as shown in the attached number line

Graphically;    

The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1

(b) There are no solution to the inequality

In the present case, we have;

((-1)² - 4×(-1) × (4 - k) <  0

17 - 4·k < 0

[tex]k > \dfrac{17}{4}[/tex]

Let k = 5, we have;

-x² + 4 ≥ x + k

-x² - x + 4 - 5 ≥ 0

-x² - x  -1 ≥ 0

The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real

roots to inequality, and -x² - x  -1 is not equal to zero.

Graphically

Please find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0

(c) The solution is a single number

-x² + 4 ≥ x + k

When k = x + 5, we have;

0 ≥ x² + 2·x + 1

0 ≥ (x + 1)²

Therefore;

The only solution is; x = -1

Using diagrams:

Please find attached the solution of the function on the number line

Graphically

The graph of the function showing only one intercept is attached

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Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.

Answers

Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.

Recall:

The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).

Given the trigonometry ratio of sin A = 3/5

Recall that, sin ∅ = opp/hyp (SOH)

Thus, this means that, in sin A = 3/5,

A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent side

Thus, find the value of b by applying the Pythagorean theorem.

[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)

Substitute

[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]

Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.

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I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

https://brainly.com/question/11989726 click the link change your country to Philippines you will the answer there
The answer should be 27.295

will give brain for right answer

Answers

Answer:

luna

Step-by-step explanation:

compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth

A line has this equation y=1/4x+6
Write an equation for the perpendicular line that goes through (5,-6)​

Answers

Here’s a picture of what to do. If it’s still confusing, feel free to ask me anything else

[tex]\sqrt{17} \times \sqrt{17}[/tex]

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{17}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

[tex] \sqrt{17} \times \sqrt{17} [/tex]

[tex]( \sqrt{17}) {}^{2} [/tex]

[tex]{(17 {}^{ \frac{1}{2}}) }^{2} [/tex]

[tex]17[/tex]

(10). An article marked at 1,200 is sold at an 8% discount . Find the S.P of the article?

Answers

Answer:

$1,104

Step-by-step explanation:

If the discount is 8%, then you would need to subtract 8% (0.08) from 1, which would be 0.92. Now multiply $1,200 by 0.92 and you'll get $1,104.

Answer:[tex] \rightarrow [/tex] The S.P or sale price of the article is $1,104.

=================================================

Solution:

[tex] \rightarrow [/tex] 1,200 x (100% - 8%)

[tex] \rightarrow [/tex] = 1,200 x 0.92

[tex] \rightarrow [/tex] = 1,104

Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won the race for the eighth graders. He completed the race in 20.3 seconds and knocked down 3 hurdles. If 2 seconds are added to the finishing time for each hurdle that is knocked down, what is the final time for each runner? Award 110 points to the team with the fastest time.

pls help im tired.

Answers

Answer:

My answer is Myra: 24.8s  Byron: 26.3s so byron is the winner

Step-by-step explanation:

I did it on my track and field day assignment and got it right

I NEED HELP ON NUMBER 2 PLEASEEEEE

Answers

Answer:

523.5miles

Step-by-step explanation:

Marcus traveled 65mph for 3.5hrs and 74mph for 4hrs. To find his total traveled distance we need to multiply the mph by the number of hours.

65x3.5=227.5mi

74x4=296mi

Add the number of miles together.

227.5+296=523.5miles

Hope this helps :)

I didn't get them all right. Can someone help please?

Answers

Answer:

[tex]\sqrt{2.56}[/tex]

[tex]6.828...[/tex]

[tex]1.75[/tex]

[tex]14/3[/tex]

[tex]-40[/tex]

Step-by-step explanation:

A rational number is any number that can be expressed as a ratio.

please help me. i don't understand

Answers

Answer:

#9 the answer is 7

Step-by-step explanation:

so start with what you know. the sum of the angles in a triangle equal 180 degrees

so...

(x + 13) + (17x - 7) + 48 = 180

now just combine like terms

18x + 54 = 180

18x = 126

x = 7

What is identity matrix.

Answers

Answer:

a square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. The effect of multiplying a given matrix by an identity matrix is to leave the given matrix unchanged.

Is it possible to make a triangle with sides lengths of 12, 16 and 20? If the answer is yes, is the triangle a right triangle?

Answers

Answer: Yes it can form a triangle and its a right triangle.

Step-by-step explanation:

Using the Pythagorean theorem we can see that the longest side (20) is our hypotenuse. From there you just check if its true. :)

GEOMETRY PROOF!!!! please do fast as possible

Answers

hi,please quit school instead

Yeah you should just quick school

three are 6 blades on each windmill. how many total blades are on 7 windmills? use a fives fact to solve

Answers

Answer: 42 I think

Step-by-step explanation:

I did 6 times 7

What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0. 99 1. 65 1. 96 2. 58.

Answers

To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE

The z-score with a confidence level of 95% is 1.96

Reasons:

The margin of error, MOE, is required when finding a sample mean of a

statistic, which specifies the range within which the true mean is located;

The margin of error is given by the formula;

[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]

Where:

σ = The standard deviation of the population

n = The sample size

[tex]z^*[/tex] = The z-value based on the applied confidence level.

Using the associated standard normal distribution table, by finding the

area between the z-score and the negative z-score, we have that 95% will

be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%

Therefore;

The z-score at 95% = 1.96

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The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 14 vans and 6 buses with 564 students. High School B rented and filled 4 vans and 6 buses with 414 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

Answers

Answer:

No of student can be found using x+y=total

X+y=total

Concept

Step-by-step explanation:

Let vans be x

Let bas be y

14x+6y=564

4x+6y=414

With that you can get the answer am sorry I couldn't give the appropriate answer I only showed the way am in a trip that's why

Brainliest)

There are 12000 fish in a lake. Because of pollution, the number of fish halves every year. What will be the population of fish after 5 years?


help

Answers

Answer:

375 fishes

Step-by-step explanation:

12000 divided by 2 is 6000 1st year

6000 divided by 2 is 3000 2nd year

3000 divided by 2 is 1500 3rd year

1500 divided by 2 is 750 4th year

750 divided by 2 is 375 5th year

Which number has a prime factorization of 2x2x5x5x7x7

Answers

Answer:

4900

Step-by-step explanation:

multiply all those numbers together

2x2x5x5x7x7 = 4900

Find the volume of the figure. Round your final answer to the nearest hundredth if necessary.

Answers

Answer:

Look at the photo I have sent

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