MATHEMATICS HIGH SCHOOL

Jupiter is 480 Million Miles Away From Earth write that number in scientific notation ​

Answers

Answer 1
Answer:

Answer:

4.8 x10^8

Step-by-step explanation:

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The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground is l and its width is w. The length of each side of the flower beds is a. Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds? Assume that the playground and beds do not overlap. The total fencing material required to fence the playground and both flower beds is
For every 60 students, three teachers are needed. Predict how many students 15 teachers can teach​
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Evaluate the expression 8/d + 3 when d=4

Answers

Answer: 5,

Step-by-step explanation: I got it right, and I hope this helps you! ✨

Answer:

the evaluation of the equation is 5

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Which of the following is the solution set of 18 - 3n + 2 = n + 20 - 4n?

Answers

Answer:

The solution set is the set of all real numbers.

Step-by-step explanation:

Solve: 18-3n+2=n+20-4n

Like terms are those terms which have same variable to the same power:

Combine like terms;

20-3n=20-3n

Subtract 20 from both sides we get;

20-3n-20=20-3n-20

Simplify:

-3n=-3n

Add 3n to both sides we get;

-3n+3n=-3n+3n

Simplify:

0=0 for all n

Thus, the given system is dependent.

Therefore, the solution set is set of all real numbers.

Answer:

ALL REALS

Step-by-step explanation:

hope this helps y'all

Among the 10 most popular sports, men include competition-type sports - pool and billiards, basketball, and softball - whereas women include aerobics, running, hiking, and calisthenics. However, the top recreational activity for men was still the relaxing sport of fishing, with 41% of those surveyed indicating that they had fished during the year. Suppose 180 randomly selected men are asked whether they had fished in the past year. Suppose 180 randomly selected men are asked whether they has fished in the past year.a. What is the probability that fewer than 50 had fished?
b. What is the probability that between 50 and 75 (inclusive) had fished?
c. If the 180 men selected for the interview were selected by the marketing department of a sporting-goods company based on information obtained from their mailing lists, what would you conclude about the reliability of their survey results?

Answers

Answer:

(a) The probability that fewer than 50 had fished is 0.0002.

(b) The probability that between 50 and 75 (inclusive) had fished is 0.6026.

(c) The survey results are not reliable.

Step-by-step explanation:

Let X = number of men who had fished during the year.

The probability of the random variable X is, p = 0.41.

A random sample of n = 180 men are selected.

The random variable X follows a Binomial distribution with parameters n = 180 and p = 0.41.

A Normal approximation to Binomial is applied when the following conditions are met,

  1. np ≥ 10
  2. n(1 - p) ≥ 10

Check:

np=180*0.41=73.8>10\nn(1-p)=180* (1-0.41)=63.72>10

Thus, the distribution of x can be approximated by a Normal distribution with:

Mean = np=180*0.41=73.8

Standard deviation = √(np(1-p))=√(180*0.41*(1-0.41))=6.599

(a)

Compute the probability that fewer than 50 had fished as follows:

P(X<50)=P((X-\mu)/(\sigma)>(50-73.8)/(6.599))\n=P(Z<-3.61)\n=1-P(Z<3.61)\n=1-0.9998\n=0.0002

Thus, the probability that fewer than 50 had fished is 0.0002.

(b)

Compute the probability that between 50 and 75 (inclusive) had fished as follows:

P(50\leq X\leq 75)=P(49.5<X<75.5)\n=P((49.5-73.8)/(6.599)<(X-\mu)/(\sigma)<(75.5-73.8)/(6.599))\n=P(-3.68<Z<0.26)\n=P(Z<0.26)-P(Z<-3.68)\n=0.6026-0\n=0.6026

Thus, the probability that between 50 and 75 (inclusive) had fished is 0.6026.

(c)

If the sample of 810 men are selected from mailing list then it is highly probable that the sample is not a representative of the true population, i.e. sports men.

Because the people interested in sports are less likely to be interested in fishing.

Thus, it could be concluded that the survey results are not reliable.

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.a = 20, b = 28, c = ?


A.34.41


B.35.45


C.35.88


D.34.72

Answers

The correct answer for the question that is being presented above is this one: "A.34.41." The information given represents lengths of sides of a right triangle with c the hypotenuse. 

h^2 = a^2 + b^2
c^2 = 20^2 + 28^2
c^2 = 400 + 784
c^2 = 1184
c = 34.41

Concert R charges an admission fee of $10.00 and $6.25 per souvenir brochure. Concert S charges an admission fee of $13.00 and $5.75 per souvenir brochure. How many souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same?

A) 6 souvenir brochure
B) 10 souvenir brochure
C) 12 souvenir brochure s
D) 18 souvenir brochure​

Answers

6 souvenir brochures must be purchased in order Which is the correct answer would be an option (A)

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.

For the functions, we have that:

The set-up fee is the admission fee.

The price per souvenir brochure is the slope.

Hence the functions are given by:

R(x) = 10 + 6.25x

S(x) = 13 + 5.75x

We have been given the total cost at Concert R and Concert S to be the same.

So R(x) = S(x).

⇒ 10 + 6.25x = 13 + 5.75x

⇒ 0.5x = 3

⇒ x = 3/0.5

⇒ x = 6.

Therefore, 6 souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same.

Learn more about the Linear equations here:

brainly.com/question/2263981

#SPJ2

Answer:

6 souvenir brochure

Step-by-step explanation:

K12 <3

X · 1 + = _____.
1
x
1 + x
2x

Answers

Yeah umm I'm doing my homework and the answer was ACTUALLY 2x... Soooo....
x with a dot next to it means that you have to multiply x with whatever value/s is after the dot

so in this case you have to multiply x by 1, which results in 1x or x

the answer is x
hope it helped :)
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