Answer:
31.4cm
Step-by-step explanation:
C = 2π.r = 2×3.14×5 =3.14×10 = 31.4
Find the measure of the central angle of a regular polygon with 16 sides.
Answer:
Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.
Find the volume of the cylinder
NEED HELP ASAP
A) 923.6m^3
B)131.9m^3
C)263.9^3
D)791.7^3
Answer:
A) 923.6m^3
Step-by-step explanation:
[tex]V=\pi r^{2} h\\V=\pi 7^{2} 6\\V=923.6[/tex]
100 POINTS!!!!!!!!!!!!!!
If the diameter of Nicole's bike wheel is 90 cm, what is the approximate distance the wheel travels in one revolution?
Answer:
The distance traveled in one revolution is 282.6 cm.
Step-by-step explanation:
Diameter of wheel, d = 90 cm
The distance traveled by the wheel in one revolution is circumference.
The circumference of the wheel is
[tex]C = \pi\times d\\C =3.14\times 90\\C = 282.6cm[/tex]
PLEASE HELP MEEEEEE !!!! Find an equation for the perpendicular bisector of the line segment whose endpoints are (5,-9)(5,−9) and (-7,-3)(−7,−3)
Answer:
y=2x-4
Step-by-step explanation:
Hope you understand
). Cho hệ các vector
U = − − + − {(1,2, ); (2,3, 1);(1,0,2 n n n (0, 1,1 ); ) n } .
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để 2
u k = + (2,3, 1) là một tổ hợp tuyến tính của W , và suy ra [ ]W
u .
Express the following decimal as a fraction. ONLY ANSWER IF YOU KNOW THE ANSWER
Answer:
that would be 67/125 easy
Answer:
537/1000
Step-by-step explanation:
that number rounded is 0.537 because every number after is a 6 so you round it up and it cannot be simplified any further
Is this graph a function?
cross section, the ratio of the area of the circle to 4 square, the volume of the cylinder equ ea of the square is ap? or 4 2. Cross section 2 o the volume of the prism or (a I the volume of the prism or (4 O I the volume of the prism or 12 o the volume of the prism or (4 h
Answer:
ya
Step-by-step explanation:
Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have a mean of 50 minutes and a standard deviation of 20 minutes. How long does a customer spend at Little’s Law Firm on average?
Answer:
On average, customer spends approximately 98 min at Little’s Law Firm
Step-by-step explanation:
Given the data in the question;
Arrival rate λ = 6 per 8 hours = 6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute
Service rate δ = 1 / 50 min = 0.02 per minute
Standard deviation σ = 20 min
Now,
Utilization rate U = Arrival rate / Service rate
U = 0.0125 / 0.02
Utilization rate = 0.625
Number of people in Queue will be;
⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )
we substitute
⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )
⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )
⇒ 0.453125 / 0.75
Number of people in Queue = 0.6042
Now
Wait in the Queue = Number of people in Queue / λ
= 0.6042 / 0.0125 = 48.336
Wait Time in Office = Wait in the Queue + ( 1 / δ )
= 48.336 + ( 1 / 0.02 )
= 48.336 + 50
Wait Time in Office = 98.336 ≈ 98 min
Therefore, On average, customer spends approximately 98 min at Little’s Law Firm
There were 24 students running in a race. How many different arrangements of the first, second, and third place are possible?
Answer:9
Step-by-step explanation:
The points (-6, r)
and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.
Answer:
r = -6
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope 3/4
This means that [tex]m = \frac{3}{4}[/tex], and thus:
[tex]y = \frac{3}{4}x + b[/tex]
(6,3)
This means that when [tex]x = 6, y = 3[/tex]. We use this to find b. So
[tex]y = \frac{3}{4}x + b[/tex]
[tex]3 = \frac{3}{4}(6) + b[/tex]
[tex]b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}[/tex]
So
[tex]y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}[/tex]
(-6, r)
r is y when [tex]x = -6[/tex]. So
[tex]y = \frac{3(-6) - 6}{4} = -6[/tex]
So r = -6.
witch of the following theroms verifies that def =xyz
Answer:
C. AA
Step-by-step explanation:
AA or angle - angle similarity is a principal which states that if triangles have two congruent sets of angles, then they are similar.
I need help asap i will give brainlist
What is the quotient of 2/3 and 2/9?
Answer:
3
Step-by-step explanation:
To divide by a fraction, multiply by the reciprocal of that fraction
2/3 x 9/2
Reduce the numbers with the greatest common factor 2
1/3 x 9
Which = 3
Emily bought 33 yards of fabric to make curtains.
How many inches of fabric did Emily buy?
Emily bought inches of fabric.
plz i need help asap ill give brainliest Find the area of the shaded regions:
Green part is 56.548667772
Answer:
I think it's 19.72
Step-by-step explanation:
A = r²· a / 2
Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are foreign. If there are four times as many undergraduates as graduate students, given that a randomly selected student is foreign, what is the probability that the student is an undergraduate
Answer:
0.6154 = 61.54% probability that the student is an undergraduate
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Foreign
Event B: Undergraduate.
There are four times as many undergraduates as graduate students
So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.
Probability the student is foreign:
10% of 80%
25% of 20%. So
[tex]P(A) = 0.1*0.8 + 0.25*0.2 = 0.13[/tex]
Probability that a student is foreign and undergraduate:
10% of 80%. So
[tex]P(A \cap B) = 0.1*0.8 = 0.08[/tex]
What is the probability that the student is an undergraduate?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154[/tex]
0.6154 = 61.54% probability that the student is an undergraduate
Study the given data set. {77,4,62,10,45,9,38,80,2}. What is the standard deviation of the data?
Answer:
29.7 is the standard deviation :)
A man buys a horse for $60. He sells the horse for $70. He then buys the horse back for $80. And he sells the horse again for $90. In the end, how much money did the man make or lose? Or did he break even?
Answer:
The correct answer is that he made $20.
Step-by-step explanation:
A man buys a horse for $60. He sells the horse for $70. He then buys the horse back for $80. And he sells the horse again for $90.
Answer:
He made 20 dollars
Step-by-step explanation:
Buying is negative and selling is positive
-60+70-80+90
+20
He made 20 dollars
Researchers recorded that a group of
bacteria grew from 125 to 2,500 in 24 hours. At this
rate of growth, how many bacteria will there be
in 35 hours from the start of the experiment? Round
to the nearest whole number.
Answer:
The number of bacteria grown in 35 hours is 15771
Step-by-step explanation:
It is given that,
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.
Therefore, the bacteria has grown from 100 to 7000 in 14 hours.
To calculate number of bacteria grown in 14 hours :
⇒ 7000 - 100 = 6900
6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.
To calculate number of bacteria grown in 1 hour :
⇒ Total bacteria growth in 14 hours / 14
⇒ 6900 / 14
⇒ 492.85
To calculate number of bacteria grown in 32 hours :
⇒ 492.85 × 32
⇒ 15771.2
⇒ 15771 (rounded to nearest whole number)
∴ The number of bacteria grown in 32 hours is 15771
Hope this answer helps you :)
Have a great day
Mark brainliest
Find the value of the expression below.
log5 25
O A. 2
OB. 0.5
O C. 125
O D. 5
Answer:
A.2
Step-by-step explanation:
log5(25)
log5(5²)
2
Please help!!
Need to get this done
Given:
Segment AD is perpendicular to segment BC.
D is the midpoint of segment BC.
To prove:
[tex]\Delta BDA\cong \Delta CDA[/tex]
Solution:
The two column proof is shown below:
Statements Reasons
1. [tex]\overline{AD}\perp \overline{BC}[/tex], D is the midpoint of [tex]\overline{BC}[/tex] 1. Given
2. [tex]\overline{BD}\cong \overline{CD}[/tex] 2. Definition of midpoint
3. [tex]m\angle ADB=90^\circ \text{ and }m\angle ADC=90^\circ[/tex] 3. Definition of perpendicular lines
4. [tex]m\angle ADB=m\angle ADC[/tex] 4. Substitution
5. [tex]m\angle ADB\cong m\angle ADC[/tex] 5. Definition of congruence
6. [tex]\overline{AD}\cong \overline{AD}[/tex] 6. Reflexive property
7. [tex]\Delta BDA\cong \Delta CDA[/tex] 7. SAS congruence postulate
Hence proved.
Members of a soccer team raised $2303 to go to a tournament. They rented a bus for
$765.50 and budgeted $61.50 per player for meals. Determine the number of players
the team can bring to the tournament.
Answer:
if iam not mistaking the answer would be 25
Pleas help will mark brainlist!
Geometry
This makes a cube because a cube has 6 faces, 8 vertices, and 12 edges.
Find the measure of angle 5 if the measure of angle 7 is 115 degrees
Answer:
115 degrees (vertically opposite angles are equal)
Step-by-step explanation:
A. Use the roster method to write the given set. You may need to consult a reference, such as the Internet or an encyclopedia. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set.) The set of whole numbers less than 9.
B. Use set-builder notation to write the following set.
{1, 4, 9, 16, 25, 36, 49, 64, 81}
{x | x is a positive square number less than or equal to 81}
{x | x is a positive square number less than or equal to 100}
{x | x is a positive number less than or equal to 9}
{x | x is a positive square number greater than or equal to 1}
none of these
C, State whether the given pair of sets are equal, equivalent, both, or neither.
{1, 2, 9}; {I, II, IX}
A. equal
B. equivalent
C. both
D. neither
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point A:
[tex]\{0,1,2,3,4,5,6,7,8\}[/tex]
For point B:
{x | x is the positive square number less than or equal to 81}
For point C:
All given sets were equal and equal, that since elements and the element no. are identical.
What does it mean to have a skewed distribution? What causes
a skew in statistical terms? And how does one deal with skewed
data when conducting research? Are there specific types of
research questions and types of data where one would expect
the data to be skewed?
Answer:
Explained below.
Step-by-step explanation:
A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.
B) If in a data set, there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.
Also, if the curve is inclined to the left, it means there are few extreme values to the left and is is negatively skewed.
Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.
C) Example of a research question is;
If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data to is positively skewed.
Find the slope of the line through each pair of points.
(4.-4). (14, -13)
Answer:
X2 -X1 / Y2 - Y1
Step-by-step explanation:
14- 4 / (-13) - (-4)
10/-9
What is probability? Give an example.
Answer:
just another way to say problem
Step-by-step explanation:
What’s the answer pls
Answer:
D
Step-by-step explanation:
speed = space/time
24/4.3 = 5.6 ft/s