PLS HELP ASAP thx>3
In a certain Algebra 2 class of 26 students, 6 of them play basketball and 15 of them play baseball. There are 9 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Since there are 26 students in the class and 6 play basketball, 15 play baseball, and 9 play neither, we need to find the intersection ([tex]\cap[/tex]) of the students who play basketball and the students who play baseball to find the number of students who play both.
Since it would appear that we would have 30 students total if we added up the ones who play basketball, baseball or neither, the intersection will be the difference between this total and the actual number of students in the class (26).
Therefore, the number of students who play both sports is [tex]6+15+9-26=4\:\text{students}[/tex]
Since there are 26 students in the class, the probability of randomly choosing one that plays both sports is:
[tex]\frac{4}{26}=\boxed{\frac{2}{13}}[/tex]
The boys basketall team averages 52 points per game with a standard deviation of 7.0 points. What is the probability that the boys will score between -1.2 and 2.0 standard deviations of their average?
Answer:
0.6832
Step-by-step explanation:
Given :
Mean, m = 52
Standard deviation, s = 7
-1.2 standard deviation of average = 57 - 1.2(7) = 57 - 8.4 = 48.6
2 standard deviations of average = 57 + 2(7) = 57 + 14 = 71
Zscore = (48.6 - 52) / 7 = - 0.486
Zscore = (71 - 52) / 7 = 2.714
P < -0.486) = 0.31348
P < 2.714 = 0.99668
P < 2.714 - P < -0.486 = (0.99668 - 0.31348) = 0.6832
What is the circumference?
(radius = 4)
Answer:
25.13
Step-by-step explanation:
C = 2πr
C = 2π(4)
C = 25.13
Hope this helps!
If APML - ATRO, find QR.
P
35
T
.
14
14
و - r
R
The value of QR in the triangle is 16 units
What is congruent triangle?Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent
The question states that ΔPML≅ΔTRQ
This implies that ML/QR = PM/TR
⇒(7x-9)/2x+2 = 35/14
Cross and multiplying we have
14(7x-9) = 35(2x+2)
=98x-126 = 70x +70
98x-70x = 70+126
⇒28x = 196
Making x the subject of the formula
x= 196/28 = 7
Recall that the side QR = 2x+2
Then by substitution,
2(7) +2
14+2 =16
This therefore keeps the side QR as 16 units.
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what does 4(15w) + 90 =
Answer:
110
Step-by-step explanation:
Answer:
60w+90
Step-by-step explanation:
That would be the simplified expression
plsssssss helpppppppp meeeeee!
<3
Answer:
X = 99
Step-by-step explanation:
Mila graphs the point A (5, 0) on a coordinate plane.
Which of the following statements are true?
Select all that apply.
Point A is 5 units to the________(Please fill this box any of these choices in A-E)
A. right of the origin and up 1 unit.
B. The x-coordinate of point A is 5.
C. The y-coordinate of point A is 5.
D. Point A is on the y-axis.
E. Point A is on the x-axis.
Answer:
B,E
Step-by-step explanation:
(5,0) (5=x, 0=y)
A is false because y = 0
B is true because x=5
c is false because y = 0
D is false because again y = 0
E is true because 5,0 is on the x axis
- Gage Millar, Algebra 2 tutor
Name all asymptotes: y =x−3/2x+8
Answer:
x=0
y= x + 8
Step-by-step explanation:
find the oblique asymptotes using long polynomial divison
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
It would be the fourth one
Step-by-step explanation:
Find the slope of a line that passes through the points (7, -2) and (-4, 5).
Answer:
-11/7
Step-by-step explanation:
y1-y2/x1-x2
7-(-4)/-2-5
11/-7
Answer:
-7/11
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-2) / -4 - 7
= 7 / -11
= -7/11
PLS ANSWER!! +GIVING BRAINLIEST FOR 1ST CORRECT ANSWER
Answer:
18
Step-by-step explanation:
mark me as
brainliest
18
Answer:
144 ounces
Step-by-step explanation:
Amy has a box that is 6 1/2 feet long, 3.25 feet wide, and 2 feet high. What is the volume of the box? V=lwh
Answer:
42.25 feet ³
Step-by-step explanation:
Volume of the box = length × width × height
Length = 6 1/2 feet = 6.5 feet
Width = 3.25 feet
Height = 2 feet
Volume of the box = length × width × height
= 6.5 feet × 3.25 feet × 2 feet
= 42.25 feet ³
Volume of the box = 42.25 cubic foot
Find all solutions to the equation. cos x = -1/2
Answer:
^^
Step-by-step explanation:
Answer:
You didn't add the range. I'll use (0<x<2π)
cosx = -1/2
x=-cos-¹(1/2)
x= -60°
Cosine is negative in the second and 3rd quadrants
180-x ---- Second quadrant
x+180 ----- 3rd quadrant
So
Our answer
180-(-60)=240° or 4π/3 second quad
180+(-60) = 120° or 2π/3---- 3rd quad
For the given measure
, find the measure of the supplementary angle and the measure of a complementary angle, if possible. If not possible, type the word none in lowercase letters in the box.
82 degrees
Answer:
The supplementary angle is
153°.
The complementary angle is
63°.
Step-by-step explanation:
This is very right trust mne
Mark me brainlist
The measure of the supplementary angle and the measure of a complementary angle as follows; The supplementary angle is 153°. The complementary angle is 63°.
What are complementary angles?Two angles whose sum is 90° are called complementary angles.
Two angles whose sum is 180° are called supplementary angles.
If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Those two-two angles are two pairs of supplementary angles.
That means, if supplementary angles are aligned adjacent to each other,
their exterior sides will make a straight line.
Therefore, The supplementary angle is 153°.
The complementary angle is 63°.
Learn more about complementary angles here:
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Which choice is equivalent to the expression below
5x sqrt2 - 3 sqrt2 + x sqrt2
Answer:
answer is D I think
Step-by-step explanation:
.............
HELP ASAP!!!!!!!!!!Please
Answer:
D) x = -3
Step-by-step explanation:
33%
The diagram shows a square ABDE and an isosceles triangle BCD.
Angle C = 40°
Work out the size of angle EBC.
А
B
40°
E
Answer:
ans = <ebc= 115°
hope this will help
.
.
the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer
Help me with this question
Answer:
24
Step-by-step explanation:
41-17=24
Write the equation of the parallel line - x + 2y = 12 that goes through the
point (10,8).
Write your answer in in slope-intercept form,
y = m x +
b
slope
y-intercept
Answer:
Step-by-step explanation:
A milk-dairy produces 25,545 litres of milk every day. It supplies 15,625 litres of milk to a milk-depot and rest to the market. How much milk is supplied to the market ?
Answer:
plz mark brainliest
Answer:12345678910
Step-by-step explanation:
If the pattern continues, what would be the seventh number in the pattern?
98, 91, 85, 80
A. 76
B. 73
C. 71
D. 70
10. Find the total surface area of the triangular prism
shown below.
Answer:
I think its 132.
The total surface area of the triangular prism is 200 cm².
Triangular prism surface areaSurface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
How to find the surface area of the triangular prism?First, find the height of the prism.
Let h is the height of the prism
Use the pythagoras theorem
then
5² = (6/2)² + h²
5² = 3² + h²
25 = 9 + h²
h² = 25 - 9
h² = 16
h =4
Now apply the surface area formula
total surface area = ( 5 + 5 + 6) 11 + 6×4
= 16 × 11 + 24
= 176 +24
= 200 cm²
Hence the surface area is 200 cm²
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Which inequality is true when the value of u is 10?
u – 3<-6 , u-3>-6 , -u-3>6 , -u-3>-6
Answer:
The answer is: u-3>-6
This is because 10-3=7 and 7>-6
please help :) find the area of the regular polygon
9514 1404 393
Answer:
3√3 square units
Step-by-step explanation:
The area of a regular n-sided polygon with radius r is given by the formula ...
A = (n/2)r²·sin(360°/n)
For n=3 and r=2, the area is ...
A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)
A = 3√3 . . . . square units
_____
Alternate solution
The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...
b = (2/√3)(3) = 2√3
The area using these dimensions is calculated as ...
A = 1/2bh
A = 1/2(2√3)(3) = 3√3 . . . . square units
Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)
Step-by-step explanation:
Consider LHS
[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]
Apply quotient identies
[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]
Multiply the fraction and sine.
[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Make cos x a fraction with cos x as it denominator.
[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]
so
[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Pythagorean Identity tells us sin squared and cos squared equals 1 so
[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]
Apply reciprocal identity.
[tex] \sec(x) = \sec(x) [/tex]
vectors
p=(4,3) and q=(-2,7), find 4p -2q
Answer:
(20, -2)
Step-by-step explanation:
Given the coordinate vectors p=(4,3) and q=(-2,7),
4p - 2q = 4(4, 3)- 2(-2, 7)
4p - 2q = (16, 12) - (-4, 14)
4p - 2q = (16+4, 12-14)
4p - 2q =(20, -2)
hence the required vector is (20, -2)
Use the distributive property to expand - 3x * (4d - 5e - 3f)
9514 1404 393
Answer:
-12dx +15ex +9fx
Step-by-step explanation:
- 3x * (4d - 5e - 3f) = (-3x)(4d) +(-3x)(-5e) +(-3x)(-3f)
= -12dx +15ex +9fx
An angle has a measure of 150° and a terminal side that intercepts the unit circle at (x,y). What are the values of x and y?
Answer:
x = -√3 /2
y = ½
Step-by-step explanation:
x = cos 150°= -√3 /2
y = sin 150° = ½
The graph of a logarithmic function is shown below.
What is the domain of the function?