Answer:
5.6
Step-by-step explanation:
Use pythag to get SU. 10^2 + x^2 = 15^2, this will give you x = 11.2. 11.2 is the diameter of SU so divide it by 2 to get the radius. 11.2/2= 5.6.
There are 6 adult chaperones, 21 female students, and 23 male students on a bus for a field trip.
What is the probability that a randomly chosen person on the bus is an adult chaperone or a male student?
Answer:
[tex]\frac{29}{50}[/tex]
Step-by-step explanation:
[tex]\frac{29}{50}[/tex] put into decimal form is 0.58 (aka 58%)
The person above me was correct but didn't have the answer in fraction form.
The probability that a randomly chosen person on the bus is an adult chaperone or a male student is 0.58.
We have the following data -
On a field trip there are 6 adult chaperones, 21 female students, and 23 male students on a bus.
We have to find the probability that a randomly chosen person on the bus is an adult chaperone or a male student.
What is the formula to calculate the probability of an event ?The formula to calculate the probability of an event is -
P(A) = n (A) / n(S)
Where -
n(A) - Number of favorable outcomes.
n(S) - Number of elements in the sample space.
In the question given to us, we have -
n (A) = favorable outcomes = 23 + 6 = 29
n (S) = Elements in the sample space 23 + 21 + 6 = 50
Hence, the probability that a randomly chosen person on the bus is an adult chaperone or a male student is -
P(A) = [tex]\frac{n(A)}{n(S)}[/tex] = [tex]\frac{29}{50}[/tex] = 0.58
Hence, the probability of choosing will be 0.58.
To solve more questions on probability, visit the link below -
brainly.com/question/743546
#SPJ5
How many centimeters are equal to 5 inches?
The question is in photo
Answer:
option D
Step-by-step explanation:
The volume of the garage is 64 times the volume of the model
PLEASE HELP I NEED THIS ASAP
(A)
Step-by-step explanation:
Multiply both sides by (x + 3)(x - 3)
4(x + 3) + 2 = (x- 3)
4x + 12 + 2 = x - 3
3x = - 17
or
x = -17/3
what can get into 65 and 100
Answer:
[tex] 65 \leqslant x \leqslant 100 \\ = 65\%[/tex]
Answer:
The Greatest Common Factor (GCF) for 65 and 100, notation CGF(65,100), is 5.
Step-by-step explanation:
Explanation:
The factors of 65 are 1,5,13,65;
The factors of 100 are 1,2,4,5,10,20,25,50,100.
So, as we can see, the Greatest Common Factor or Divisor is 5, because it is the greatest number that divides evenly into all of them.
can anyone answer these two questions? please :)
Which is the better deal ?
Oreos
$2.98 for 15 oz
Or
Chip Ahoy
$2.50 for 14 oz
I need someone to figure out these two problems please
Answer:
assuming all the cut off squares are exactly one half (because that wasn't specified) 1 is 33 and 2 is 19
find the ratios and reduce them in their lowest terms.
12cm and 8cm
i just found out i got a 361 on my math test and i need a 400 to pass lol
so um can anyone tell me my percentage
did i get a 60 or something
Answer:
361 out of 400 is 90.25%
Step-by-step explanation:
what is the value of z?
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)
Step-by-step explanation:
What is the volume of the prism?
Answer:
3367.11 cm³ ≈ 3240 cm³
Step-by-step explanation:
Volume = Area hexagon x height
Area hexagon = 374.12
374.12 x 9 = 3367.08 ≈ 3367.11 ≈ 3240
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
01:4
What is the median of this set of data?
1, 2, 5, 6, 9
0
1
5
8
9
Answer:
3.5 if the 901589 a whole number but 5 if it is supposed to be seperated
Step-by-step explanation:
Answer:
3.5 if the 901589 a whole number but 5 if it is supposed to be seperated
Step-by-step explanation:
What are the domain and range of the function f(x)= -square root x+3 -2?
Answer:
[tex]Dom_{f}=[-3,\infty)[/tex]
[tex]Range_{f}=(-\infty,-2][/tex]
Step-by-step explanation:
I understand the correct function is [tex]f(x)=-\sqrt{x+3} - 2[/tex]
Domain of f
[tex]x+3\geq 0\\x\geq -3[/tex]
Thus, [tex]Dom_{f}=[-3,\infty)[/tex]
Range of f
[tex]Range_{f}=(-\infty,-2][/tex]
A hall 130 feet in length was designed as a whispering gallery. If the ceiling is 25 feet high at the center, how far from the center are the foci located?
Answer:
60 feet from the center.
Step-by-step explanation:
As this it was designed as whispering gallery, and we know the whole length of the hall, and the highness of the ceiling we can use the following expression:
c² = a² - b² (1)
Where:
c: Length from center to foci.
a: length of half the hall.
b: length of the ceiling.
Replacing the given data into (1) we have:
c² = (130/2)² - (25)²
c = √65² - 500
c = √3600
c = 60 feetHope this helps
If sine > 0 and tane < 0 then:
Answer:
its A
Step-by-step explanation:
How would I solve this?
a²+b²=c²
the pythagorean theorem
basically you would do 7²+5²=c² then solve for c:3
I hope this helped
In ΔMNO, the measure of ∠O=90°, MN = 60 feet, and OM = 11 feet. Find the measure of ∠N to the nearest degree.
Answer:
I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer
a tutor charges $5 for each class he takes per day that lasts for an hour. for each additional hour he tutors he charges $3. match the number of hours he tutors for in the first column with the money he makes from it.
the hours: 4,2,5,3
Answer:
u need to show the column
Explain how to determine the x- and y- intercepts of a line from a given equation in y = mx + b form.
Answer:
Step-by-step explanation:
x-intercept: Set y = 0 and solve for x:
0 = mx + b, or mx = -b, or x = -b/m. x-intercept is then (-b/m, 0)
y-intercept: Set x = 0 and solve for y: y = m(0) + b, or y = b. y-intercept is then
(0, b).
Help with sudoku please!
Answer:
Step-by-step explanation:
Which of the following expressions represents the product below?
(4 i+ 3)(5 - 2i)
7 + 14i
15 +6i
-7 +26i
23 + 14i
Answer:
[tex](4 i+ 3)(5 - 2i)[/tex]
[tex]= - {8i}^{2} + 20i + 15 - 6i[/tex]
[tex]= - {8i}^{2} + 14i + 15 [/tex]
Find the coordinates of the midpoint of CD if C(-2, 6) and (7, -1)
Answer:
(2.5, 2.5)
Step-by-step explanation:
Coordinates of midpoint
[tex] = \bigg( \frac{ - 2 + 7}{2}, \: \: \frac{6 - 1}{2} \bigg) \\ \\ = \bigg( \frac{5}{2}, \: \: \frac{5}{2} \bigg) \\ \\ = ( 2.5, \: \: 2.5 )[/tex]
Enter the correct answer in the box. What are the solutions of this quadratic equation? X^2+164=16x Substitute the values of a and b to complete the solutions.
Answer:
x = 8 - 10i or 8 + 10i
Step-by-step explanation:
Our equation is given as:
x² + 164 = 16x
x² - 16x + 164 = 0
We solve using Almighty formula
x = -b ± √b² - 4ac/2a
Where : ax² + bx + c
For our Equation
a = 1, b = -16, c = 164
Hence,
x = -(-16) ± √-16² - 4 × 1 × 164/2 × 1
x = 16 ± √256 - 656/2
x = 16 ± √-400/2
Finding the roots
x = 16/2 ± √-400/2
x = 8 ± 20i/2
x = 8 ± 10i
Therefore, the value of x
= 8 - 10i or 8 + 10i
Answer: x=8+10i
x=8-10i
Step-by-step explanation: Plato :)
B.
1. Name the triangles that are congruent.
2. What postulate support your answer?
3. Name all other angles and segments that are congruent.
4. What can you say about UN in relation to <JUG and JG
Answer:
1. ΔUJN ≅ ΔUGN by SAS rule of congruency
2. Side Angle Side Rule of congruency
3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU
4. UN bisects angle ∠JUG and UN bisects segment JG
Step-by-step explanation:
The given figure consists of three triangles
1. ΔUJN, 2. ΔUGN, and 3. ΔUJG
Whereby segment UN is perpendicular to segment JG, we have;
ΔUJN and ΔUGN are right triangles
∴ ∠UNJ = ∠UNG = 90° by definition of segment UN being perpendicular to segment JG
NU ≅ NU by reflexive property
Whereby UN bisects ∠JUG and segment JG, we have;
JN = GN by definition of a bisected segment
Therefore, we have;
1. ΔUJN ≅ ΔUGN by SAS rule of congruency
2. Side Angle Side Rule of congruency
3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU
4. UN bisects angle ∠JUG and UN bisects segment JG
Write the slope-intercept form of the equation of each line.
3x − 2y = −16 2) 13x − 11y = −12
Answer:
1. y= 3/2x + 8
2. y= 13/11x+12/11
Step-by-step explanation:
Answer:
y = 3/2x + 8 , y = 13/11x + 12/11
Step-by-step explanation:
A rectangular prism and its net are shown below.
(All lengths are in yards.)
Answer:
C=2 D=2
SA=
Step-by-step explanation:
Surface Area (SA)= 2(wl+hl+hw)
2(2×5+9×5+9×2)
=146 yards
What is the similarity ratio of Figure A to Figure B?
A bag contains 40 marbles. The probability of selecting a red marble at random is 1/5. How many red marbles are in the bag?
Answer:
8 red marbles.
Step-by-step explanation:
All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.
40/5=8
You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .
If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.
1 * 8 = 8 red marbles in the bag
If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.
Example:
If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.
Easy and quick way if you do not need the explanation:
Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8