MATHEMATICS COLLEGE

Write an equation to solve for x.

Please provide steps
Write an equation to solve for x. Please provide steps - 1

Answers

Answer 1
Answer:

Answer:

x = 50

Step-by-step explanation:

= a straight line is always equal to 180 degrees

= 180 -30 degrees = 150

= 150/3

=50

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Question 3 of 5A basketball has a radius of 4.5 inches. If the
ball is filled with 350 cubic inches of air, how
much more air is needed to fill it completely?
Round to the nearest whole number.

Answers

Answer:

32 cubic inches of air are needed to fill it completely.

Step-by-step explanation:

A basketball has the format of a sphere.

The volume of a sphere with radius r is given by the following equation:

V = (4\pi r^(3))/(3)

In this question:

Radius of 4.5 inches. So the volume, in cubic inches, is:

V = (4\pi*(4.5)^(3))/(3) = 382

The volume of the ball is 382 cubic inches.

350 cubic inches have already been filled.

So 382-350 = 32 cubic inches of air are needed to fill it completely.

If someone build a house for 50 years how many months did it take to complete

Answers

Answer: 600

Step-by-step explanation:  12 months in one year. 12x50=600 months

Answer:

600 months

Step-by-step explanation:

In 1 year there are 12 months, so we take 50 (the years) and multiply that by 12

50x12=600 and we fact check by 600÷12=50. It takes 600 months to build the house over 50 years.

In a random sample of 500 college students, 23% say that they read or watch the news every day. Develop a 90% confidence interval for the proportion of all students who read or watch the news on a daily basis. Interpret your results. If you wanted to develop a 95% confidence interval with a margin of error of .01, how many students would need to be surveyed?

Answers

Answer:

The 90% confidence interval is  0.199 <  p < 0.261

The sample size to develop a 95% confidence interval is n = 2032  

Step-by-step explanation:

From the question we are told that

   The sample size is n =500

    The sample proportion is  \^ p = 0.23

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  (\alpha )/(2) is  

   Z_{(\alpha )/(2) } =  1.645

Generally the margin of error is mathematically represented as  

     E =  Z_{(\alpha )/(2) } * \sqrt{(\^ p (1- \^ p))/(n) }

=>   E =  1.645 * \sqrt{(0.23 (1- 0.23))/(500) }

=>   E =  0.03096

Generally 90% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.23  -0.03096  <  p < 0.23  +  0.03096

=>   0.199 <  p < 0.261

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

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  (\alpha )/(2) is  

   Z_{(\alpha )/(2) } =  1.96

The margin of error is given as E = 0.01

Generally the sample size is mathematically represented as  

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

=>    n = [(1.96 )/(0.01) ]^2 *0.23 (1 - 0.23 )      

=>    n = 2032  

Rock concert tickets are sold at a ticket counter. Femalesandmalesarriveat times of independent Poisson processes with rates 30 and 20 customers per hour. (a) What is the probability the first three customers are female

Answers

Answer: The probability that the first three customers are female is 0.216

Step-by-step explanation:

The attachment below shows the calculations clearly.

Which of the following series is equal to the repeating decimal 0.353535…?ANSWERS
1.C
2. 0.35.
3. 0.01
4. 35/99

Answers

Answer: 2.

Step-by-step explanation: This is because 35 is repeating forever.
The answer is 2 because it is a repeating decimal.

326 divided by 53 sender

Answers

26 divided by 53 equals 6 with a remainder of 8.

To solve 326 divided by 53 using long division, let's go step by step:

         6

  ------------

53 | 326

1. First, we divide 53 into 32. The largest multiple of 53 that fits into 32 is 0. So, we bring down the next digit from 326, which is 6.

         6

  ------------

53 | 326

    -

2. We now have 326. We divide 53 into 326, which gives us 6. The quotient is written above the line.

         6

  ------------

53 | 326

    - 318

3. We subtract 318 from 326, which gives us 8.

         6

  ------------

53 | 326

    - 318

    -----

         8

4. We have a remainder of 8. Since there are no more digits to bring down, we have our final result.

Therefore, 326 divided by 53 equals 6 with a remainder of 8.

Learn more about division here

brainly.com/question/13683748

#SPJ6

Answer: 6.150943396

6.15 if rounded

Step-by-step explanation:
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