MATHEMATICS COLLEGE

24 1/2 is equal to what decimal

Answers

Answer 1
Answer:

Answer:

24.5

Step-by-step explanation:

24 = 24

1/2 -->

convert to a decimal => 1 divided by 2

0.5

24+0.5 = 24.5

Hope this helps!

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Choose the Missing a step in the given solution to the inequality : -x- 10 > 14 +2x-x - 10 > 14 +2x-3x - 10 > 14 ————————X< -8 Answer choices: A: -3x>24 B:-3x>4 C: -3x> -4 D: -3x<24
Can someone help me out with this

If a 5 ft tall man cast an 8 ft long shadow at the same time a tree cast a 24 ft long shadow, how tall is the tree?

Answers

Answer:

15 feet

Step-by-step explanation:

We have 2 similar right triangles with legs height and length of shadows.

height of men : length of shadows of the man = height of tree : length of shadows of the tree

5 : 8 = x : 24

8x = 5* 24

x = 5*24/8 = 15 (feet)

Answer:

15ft

Step-by-step explanation:

5 ft  is to 8 ft

A ft is to  24 ft

A = 24*5/8

A = 15ft

15ft

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. Which of the following best describes the form of the sampling distribution of the sample mean for this situation? a. Approximately normal because the sample size is small relative to the population size b. Approximately normal because of the central limit theorem c. Exactly normal d. None of these alternatives is correct.

Answers

None of the given alternatives described the Sample mean for the situation. A complete solution is below.

Given values are:

Sample size,

  • n = 17

Mean,

  • μ = 36

Standard deviation,

  • σ = 8

As we know,

The Standard deviation of sample mean,

→ (\sigma)/(√(n) )

By substituting the values, we get

→ (8)/(√(17) )

→ (8)/(4.13)

→ 1.94

Thus the response i.e., "option d" is appropriate.

Learn more:

brainly.com/question/16555520

Answer:

d

Step-by-step explanation:

Solve the inequality. 12x<-144

Answers

Answer:

Step-by-step explanation:

x=-12

Answer:

x= -12

Step-by-step explanation:

8th grade
Math pls help

Answers

the answer is y=2/3x+600

Answer:

y=2/3x+600

Step-by-step explanation:

as x goes up by 3, y goes up by 2. So this means the slope is 2/3. also, you add 600 which is the y intercept

A normal population has the mean of 10 and the variance of 25 . A random sample of size n-28 is selected. (a) Find the standard deviation of the sample mean. Round your answer to two decimal places (e.g. 98.76)
(b) How large must the sample be if you want to halve the standard deviation of the sample mean?

Answers

Answer:

Step-by-step explanation:

Given that:

population mean = 10

variance \sigma^2 = 25  ; \sigma =√( 25) = 5

sample size n = 28

The standard deviation of the sample mean:

= {(5)/(√(28))

= 0.95

To halve the standard deviation of the sample mean, the size of how large the sample will be can be computed as follows:

(sd_1)/(sd_2) = ((\sigma)/(√(n)) )/((\sigma)/(√(n)) )

\implies ((5)/(√(28)) )/((5)/(√(28)) )

= (5)/(√(28)) * (√(28))/(5)

= 2

n = 4 × 28

n = 112

The standard deviation is 0.95 and if the standard deviation is halved then the sample mean is 112.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

A normal population has a mean of 10 and a variance of 25.

A random sample of sizes n-28 is selected.

A.  The standard deviation will be

\sigma = (√(Var(x)))/(n) \n\n\sigma = (√(25))/(√(28)) \n\n\sigma = 0.95

B.  The sample be if you want to halve the standard deviation of the sample mean

\rm (SD_1)/(SD_2) = 2 = (√(n))/(√(28))\n\nn = 4*28 \n\nn= 112

More about the standard deviation link is given below.

brainly.com/question/12402189

the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$ if the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15% find the percentage increase or decrease in the production cost of the printer

Answers

Answer:

The percentage increase in the production cost of the printer is 3%.

Step-by-step explanation:

We are given that the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$.

Also, the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15%.

Cost of raw material = $100

Cost of overheads = $80

Cost of wages = $120

So, the total cost of the printer = $100 + $80 + $120

                                                   = $300

Now, the increase in the cost of raw material = $100 + 11% of $100

                                                                           = \$100 + ((11)/(100) * \$100)

                                                                           = $100 + $11 = $111

The increase in the cost of overheads = $80 + 20% of $80

                                                                = \$80 + ((20)/(100) * \$80)

                                                                = $80 + $16 = $96

The decrease in the cost of wages = $120 - 15% of $120

                                                          = \$120 - ((15)/(100) * \$120)

                                                          = $120 - $18 = $102

So, the new cost of a printer = $111 + $96 + $102 = $309

Now, the percentage increase in the production cost of the printer is given by;

      % increase =  \frac{\text{Net increase in the cost of printer}}{\text{Original cost of printer}} * 100

                         =  (\$309- \$300)/(\$300) * 100

                         =  3%

Hence, the percentage increase in the production cost of the printer is 3%.
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Tres hermanas reciben una herencia de modo que la segunda recibe estilo en línea 1 medio fin estilo de lo que recibe la primera y la tercera recibe estilo en línea 1 quinto fin estilo de lo que recibe la segunda. Si simbolizamos por a lo que recibe la primera hermana y el total de la herencia es $1.600.000, ¿qué ecuación es la que describe esta situación?
A bacterial culture starts with 500 bacteria and doubles in size every half-hour.(a) How many bacteria are there after 3 hours?Answer: Since 3 hours equals 6 half-hours, the culture will have doubled 6 times.Therefore, there will be500 · 26 = 32,000bacteria.(b) How many bacteria are there after t hours?Answer: Since t hours is the same as 2t half-hours, the culture will have doubled 2ttimes. Therefore, there will be500 · 22tbacteria.(c) How many bacteria are there after 40 minutes?Answer: There are two possible answers depending on how you interpret the set-upto the problem. If each bacterium in the culture doubles once every half-hour on thehalf-hour, then each one will double after exactly 30 minutes, and then not again until60 minutes have passed. In that case, there will be500 · 2 = 10004bacteria after 40 minutes.On the other hand, if each bacterium doubles exactly once per half-hour, but at somerandom time within that half-hour, then it makes sense to think of the populationfunction P(t) = 500 · 22t as continuous. In that case, since 40 minutes is4060=23of an hour, the population will be500 · 2223 = 500 · 243 ≈ 1259after 40 minutes.
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