1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AleksAgata [21]
3 years ago
9

Find the diameter of the circle with a circumference of 50mm. Round your answer to the nearest tenth

Mathematics
2 answers:
choli [55]3 years ago
8 0
The answer is A, to get it you’ll have to work backwards.

C = pi x d

so C divided by pi will get you the diameter

50 / pi = 15.91, rounded it should be 16.0 mm
AURORKA [14]3 years ago
4 0

Answer:

A) 16.0 mm

Step-by-step explanation:

Use the formula C=2 x pi x r

d=2 x r

Solve for d

d= C/pi = 50/pi = 15.91549

And it says to round to the nearest tenth, so the answer is A) 16.0mm

You might be interested in
Estimate the sum of 703 + 620
Natalija [7]
When you estimate, you round each number, the add.
We round them to 
700+620, which is 1320
So our non estimated answer is 1323
But our estimated answer is 1320
7 0
3 years ago
Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples
zheka24 [161]

Answer: a. 0.40   b. 0.23  c . 0.435   d . 0.25

Step-by-step explanation:

                                   melanin      content    Total

                                            high   low

moisture   high                     13      10                23

content    low                       47      30                77

 Total                                   60      40              <u> </u><u>100</u>

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)=\dfrac{40}{100}=0.40

b) Total skin samples has high moisture content = 13+10=23

P(B) =\dfrac{23}{100}=0.23

c) A ∩ B =  Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) =\dfrac{10}{100}=0.10

Using conditional probability formula , P (A|B)=\dfrac{P(A\cap B)}{P(B)}

P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435

d)  P (B|A)=\dfrac{P(A\cap B)}{P(A)}

P (B|A)=\dfrac{0.10}{0.40}=0.25

8 0
3 years ago
The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).
Maksim231197 [3]
2x+3x -9. You can simplify this to 5x-9.
8 0
3 years ago
Julian saved between $ 30 and $ 52 over the summer. His friend Daniela saved twice as much. Let n represent the amount of money
maks197457 [2]

Y = (30 + 52) * 2

Y = (82) * 2

Y = 164

Daniela saved $164

3 0
3 years ago
Suppose that you are in charge of evaluating teacher performance at a large elementary school. One tool you have for this evalua
Strike441 [17]

Answer:

a) Standard error = 2

b) Range = (76.08, 83.92)

c) P=0.69

d) Smaller

e) Greater

Step-by-step explanation:

a) When we have a sample taken out of the population, the standard error of the mean is calculated as:

\sigma_m=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{25}}=\dfrac{10}{5}=2

where n is te sample size (n=25) and σ is the population standard deviation (σ=10).

Then, the standard error of the classroom average score is 2.

b) The calculations for this range are the same that for the confidence interval, with the difference that we know the population mean.

The population standard deviation is know and is σ=10.

The population mean is M=80.

The sample size is N=25.

The standard error of the mean is σM=2.

The z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=1.96 \cdot 2=3.92

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 80-3.92=76.08\\\\UL=M+t \cdot s_M = 80+3.92=83.92

The range that we expect the average classroom test score to fall 95% of the time is (76.08, 83.92).

c) We can calculate this by calculating the z-score of X=79.

z=\dfrac{X-\mu}{\sigma}=\dfrac{79-80}{2}=\dfrac{-1}{2}=-0.5

Then, the probability of getting a average score of 79 or higher is:

P(X>79)=P(z>-0.5)=0.69146

The approximate probability that a classroom will have an average test score of 79 or higher is 0.69.

d) If the sample is smaller, the standard error is bigger (as the square root of the sample size is in the denominator), so the spread of the probability distribution is more. This results then in a smaller probability for any range.

e) If the population standard deviation is smaller, the standard error for the sample (the classroom) become smaller too. This means that the values are more concentrated around the mean (less spread). This results in a higher probability for every range that include the mean.

6 0
3 years ago
Other questions:
  • The line y=-1/3x+4 passes through which of the following points
    9·2 answers
  • A spinner has three equal sections labeled 1, 2, and 3. It is spun twice. Which expression can be used to determine P(2, then 1)
    6·2 answers
  • CAN SOMEONE HELP ME PLEASE ?
    7·2 answers
  • Which is true of the slopes of parallel lines?
    11·2 answers
  • If 3a + 2b = 7 and 2a + 2b = 9 , what is the value of
    10·1 answer
  • What is the answer???
    12·2 answers
  • I NEED HELP ON NUMBER 3 PLEASE
    6·1 answer
  • If 1/4 gallon of paint covers 1/12 of a wall, then how many quarts of paint are
    8·2 answers
  • When using the given diagram to determine the area of the pentagon by decomposition, which statements are correct?:
    6·1 answer
  • Help Please I will Give Brainliest if Correct!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!