In circle F what is the measure of arc CB?
17.5
35
70
60
Answers
Multiply by 2 to get that the measure of arc CB is 70.
Answer:
measure of arc CB is 70°
Step-by-step explanation:
Draw segment FC.
Measure of arc CB = ∠CFB
∠CFB is complementary to ∠CFA
∠CFB = 180° - ∠CFA
Δ CFA is isosceles
∠ FAC = ∠ FCA = 35°
∠CFA +∠ FAC + ∠ FCA = 180°
∠CFA = 180° - 70°
∠CFB = 180° - (180° - 70°) = 70°
∴ Measure of arc CB is 70°
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A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.a. Calculate the p-value for this test.b. Find the p-value for this test and draw your conclusion.c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.
Determine what information you would need to know in order to use SAS to show that the triangles are congruent
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Answers
If arc ADB is that portion of the circle that is not arc AB, then its measure is ...
... 360° -49° = 311°
_____
The sum of the measures of the arcs of a circle is 360°.
Answers
Answer:
3/2+3/2=3. Does this help? If not then I sincerely apologize- ^^". Please inform me if this is incorrect or not helpful
Step-by-step explanation:
If 15 people come in one by one to purchase this text, what is the probability that all 15 will get the type of book they want from current stock?
Answers
Answer:
The probability that all 15 will get the type of book they want from current stock is 0.4838.
Step-by-step explanation:
Denote the random variable Xas the number of students who want to buy new copy.
The probability of a student wanting to buy a new copy is, P (X) = p = 0.30.
A random sample of n = 15 students is selected.
The random variable X follows a Binomial distribution.
The probability function of a Binomial distribution is:
It is provided that the bookstore has 10 new copies and 10 used copies in stock.
All the 15 students get their desired copy, then this can happen if at most 10 want to buy new copy and at least 5 wants to buy used copy.
Compute the probability of (5 ≤ X ≤ 10) as follows:
P (5 ≤ X ≤ 10) = P (X = 5) + P (X = 6) + P (X = 7) + P (X = 8) + P (X = 9) + P (X = 10)
Thus, the probability that all 15 will get the type of book they want from current stock is 0.4838.
Answers
Answer:
Step-by-step explanation:
I NEED HELP PLEASE
Answers
Step-by-step explanation:
A two-digit number, such as 79, contains a tens place and a ones place.
That is because 79 is also equal to 70 + 9.
The tens place is thus the 7, since since 7 × 10 = 70
and the ones place is the 9.
So lets Subtract breaking apart 143 - 79.
Break 79 down into its parts:
70 + 9.
Subtract 70 from the original number:
143 - 70 = 73
Subtract 9 from the answer:
73 - 9 = 64
Therefore, 64 is the final answer.
Find the distance, in km, the comet travelled.
Answers
Answer:
39,144,000 km
Step-by-step explanation:
Hi there!
Distance traveled = time * speed
Given speed: 233000 km/h
Given time: 7 days
It's important to note that our speed is given in per hours and out time is given in days. So in order to find how far the comet has traveled we must convert days to hours.
There are 24 hours in 1 day.
So to convert days to hours simply multiply amount of days by 24
24 * 7 = 168
So the comet has traveled for 168 hours
Now we can find distance traveled
Once again distance traveled = time * speed
Given speed is 233000 km/h
Given time is 168 hours
Distance = 168 * 233000 = 39,144,000
So the comet has traveled for a total distance of 39,144,000 km