=========================================================
Explanation:
20 people play cricket, 8 of them play both, so 20-8 = 12 people play cricket only.
14 play football, 8 play both, so 14-8 = 6 play football only
We have,
12 people play cricket only6 people play football only8 people play both cricket and footballSo far, this tallies to A = 12+6+8 = 26 people who play one sport only, or both sports mentioned. Now add in the four people who play neither sport and we get to B = 26+4 = 30 students overall.
The probability of selecting someone who plays at least one of the two sports mentioned is A/B = 26/30 = (13*2)/(15*2) = 13/15
This is effectively saying: if we had 15 students, then 13 of them play at least one of the two sports mentioned.
Find the value of x. Write your answer in simplest form.
(Hypotenuse)² = (Base)²+ (Perpendicular)²
Taking, Hypotenuse As H
Base As B
Perpendicular As P
_________________________
Solving The QuestionH²= B²+ P²
[tex](9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9[/tex]
Hope This Helps You ❤️distribute 48xy + 36x
Answer:
48xy+36x
=6x(8y+6)
Step-by-step explanation:
Jenny's mom is 33 years old. What percent of Jenny's mother's age Is Jenny's great-grandmother's age 90?
Answer:
answer: 36.67
Hope that helps!
Answer:
[tex]36\frac{2}{3}[/tex] %
Step-by-step explanation:
[tex]\frac{33}{90}: \frac{y}{100}[/tex]
y · 90 = 33 · 100
90y = 3300
90y ÷ 90 = 3300 ÷ 90
[tex]y=36\frac{2}{3}%[/tex]
Let u
(5, -12) and C =
3. What is cu?
39
39
51
21
Done -
Answer: [tex]||cu||=39[/tex]
Step-by-step explanation:
Given
[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]
[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction
[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]
[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]
option (a) is correct.
The student health clinic reports that only 30% of students got a flu shot this year. If a researcher surveys a sample of n=84 students attending a basketball game, what is the probability that any individual student has a flu shot? What is the probability that more than 30 students have had flu shots? What is the probability that 20 or fewer students have had shots?
Answer:
a) probability that any individual student has a flu shot is 0.30
b) The probability that more than 30 students have had flu shots is 0.1038
c) the probability that 20 or fewer students have had shots is 0.1314
Step-by-step explanation:
Given the data in the question;
Number of students n = 84
student health clinic reports that only 30% of students got a flu shot this year;
p = 30% = 0.30
now,
pn = 0.30 × 84 = 25.2 ( > 10 )
qn = (1-p)n = (1-0.30)84 = 0.70 × 84 = 58.8 ( > 10 )
Criterion for approximation of the binomial distribution is satisfied since both pn and qn are greater than 10.
hence, Normal distribution will have;
mean μ = np = 0.30 × 84 = 25.2
standard deviation σ = √( npq )
= √( 84 × 0.30 × 0.70 )
= √17.64
standard deviation σ = 4.2
a) the probability that any individual student has a flu shot
student health clinic reports that only 30% of students got a flu shot this year
p = 30% = 0.30
Therefore, probability that any individual student has a flu shot is 0.30
b) The probability that more than 30 students have had flu shots
P(X > 30)
we use real time limits to determine probability from binomial distribution,
hence upper limit will be 30.5
Z = (X - np) / √( npq )
Z = ( 30.5 - 25.2 ) / 4.2
Z = 5.3 / 4.2
Z = 1.26
from normal distribution table
[tex]Z_{1.26[/tex] = 0.1038
Therefore, The probability that more than 30 students have had flu shots is 0.1038
c) the probability that 20 or fewer students have had shots;
P( X ≤ 20 )
upper limit will be 20.5
Z = (X - np) / √( npq )
Z = ( 20.5 - 25.2 ) / 4.2
Z = -4.7 / 4.2
Z = -1.12
from normal distribution table
[tex]Z_{-1.12[/tex] = 0.1314
Therefore, the probability that 20 or fewer students have had shots is 0.1314
travis buys a new baseball cap for $25. the tax rate is 8%.how much money does travis spend in all on the cap?
Answer: $2
Step-by-step explanation:
Fill in the blank for the special triangle.
HELPPPPPP
HELLLLLP
Answer:
[tex] \sqrt{2} [/tex]
Hope it helps
pls give brainliest
In what place is the digit 1 in the number 607.912
hundreds
tens
tenths
hundredths
Answer:
tenths.........
Step-by-step explanation:
.....is the answer
help please..............
Answer:
19.4 in.
Step-by-step explanation:
find thr volume of the iron usrd to make a hollow cylinder of hright 9cm and whose internal and external radius are 21cm and 28cm respectively
Answer:
Volume of iron used is 58982cm
Step-by-step explanation:
For hollow cylinder,
\bold{Height=9cm}Height=9cm
\bold{Internal \ radius=21cm}Internal radius=21cm
\bold{Externa \ radius=28cm}Externa radius=28cm
volume \: of \: cylinder = \pi \times {r}^{2} \times h \:volumeofcylinder=π×r
2
×h
\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part
\bold{=\frac{22}{7}×28^2×9}=
7
22
×28
2
×9
\bold{=22×4×28×9}=22×4×28×9
\bold{=71456cm^3}=71456cm
3
\bold{Volume \ of \ hollow \ part}Volume of hollow part
\bold{=\frac{22}{7}×21^2×9}=
7
22
×21
2
×9
\bold{=22×3×21×9}=22×3×21×9
\bold{=12474cm^3}=12474cm
3
\bold{Volume \ of \ iron \ used=}Volume of iron used=
\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part
\bold{- Volume \ of \ hollow \ part}−Volume of hollow part
{=71456-12474}=71456−12474
{=58982cm^3}=58982cm
3
\bold\red{Volume \ of \ iron \ used \ is \ 58982cm^3}Volume of iron used is 58982cm
3
.pl.help meerrrrreeeeee
they are website explaining this so you can grasp I will share the link
please help me with 1 to 4!! <33
if you meant to put a link there is none
Which of these functions has exactly two different zeros? Please help
what is the volume of a rectangle prism that is 1 1/2 inches by 2 1/4 inches by 4 inches?
Answer:
13.5 inches
Step-by-step explanation:
11.5 x 2.25 x 4
I could be wrong
Answer:
13.5 inches is correct :)
Hello pls help plsss and thx!
Answer B
Distribute the 2
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
The volume of the pyramid is 126in^3
Step-by-step explanation:
To find the volume of a pyramid you need to use this formula which is
V=lw·h/3
V=9·6·7/3
V=54·7/3
V=126in^3
-7 2/3 + ( - 5 1/2) + 8 3/4 =
Answer:
-53/12
Step-by-step explanation:
-7 2/3=-23/3
-5 1/2=-11/2
8 3/4=35/4
----------------
-23/3+(-11/2)+35/4
-23/3-11/2+35/4
-92/12-66/12+105/12
-53/12
Answer:
- 4 5/12
Step-by-step explanation:
- 7 2/3 + (-5 1/2) + 8 3/4
-7 2/3 - 5 1/2 + 8 3/4
-7 4/6 - 5 3/6 + 8 3/4
-13 1/6 + 8 3/4
-13 2/12 + 8 9/12 = -4 5/12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLEASE HELP) Use a table of values to graph the function ƒ(x) = –3|x|. Select the correct graph below.
Answer:
B
Step-by-step explanation:
To find the answer you can just input a number for x and then you should come up with a y-value.
The graph mentioned in option B is correct.
We have the the following function -
f(x) = -3 |x|
We have to select the correct graph from the given ones.
State the property Modulus.For a function f(x) = x, which is real in nature -
f(x) = |x| = [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]
We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -
f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]
For every negative value of x -
y = f(x) = 3x = negative value in a multiple of 3.
For every positive value of x -
y = f(x) = - 3x = negative value in a multiple of 3.
Hence, the graph mentioned in option B is correct.
To solve more questions on Modulus, visit the link below-
brainly.com/question/2288321
#SPJ5
what is the length of the line segment CD with endpoints (-3,2) and (2,2) as shown on the coordinate plane?
A 2 units
B 3 units
C 4 units
D 5 units
Answer:
Solution given:
(x1,y1)=(-3,2)
(x2,y2)=(2,2)
length[d]=?
we have
d=[tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]
=[tex] \sqrt{(2+3)²+(2-2)²} [/tex]
=[tex] \sqrt{5²} [/tex]
=5units
D 5 units is a right answer.
Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=5x−x2 about the x-axis over the interval [0,5].
V=?
Find Sin A
Help please
Answer:
b=90
c=30a=60
this kdkddkdkdk
Does the equation y = 2(1/2)x represent exponential growth or decay
Answer:
Growth.
Step-by-step explanation:
y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.
Hope that this helps!
I really need help on this any help ?!?!? Extra points!?
Answer:
circumference = 2πr
diameter = 3ft, so radius =3/2 =1.5
=2π ×1.5=3π= 9.42ft
Answer:
here diameter =3 ft
radius=diameter/2
=3/2
=1.5 ft
now use formula 2 pie r where pie =3.14
=2*3.14*1.5 ft
=9.42 ft
Step-by-step explanation:
Hope this helps u!!
Please help
NO LINKS!
24 on the left, 20 on top, 14 on right and bottom.
Answer:
Volume:
First lets find the height of the triangle:
14 divided by 2 = 7
7 is now your base since we split it apart into two right triangles.
24^2 + 7^2 = 625
625: 25^2 = 225 perfect!
25 is now your height:
25 x 14 = 350, 350 divided by 2 (x 1/2) = 175(area of triangle)
175(area of triangle) x 20(width) = 2100, around 3500 m^3
There are 10 students in a class. How many different ways can a teacher ask 3 students to complete tasks?
Answer:
518,400ways
Step-by-step explanation:
nPr=n/n-r
10P3=10/(10-3)
=10/7
=10x9x8x7x6x5x4x3x2x1/7
=3,628,800/7
=518,400 ways
There is a total of 120 ways by which a teacher can ask 3 students from 10 students to complete the task.
What is Binomial distribution?Statistics frequently employs the binomial distribution as a discrete distribution. When compared to a binomial distribution, the normal distribution is continuous.
The chance for 'x' success of an investigation in 'n' trials is represented by the binomial distribution.
As per the given data in the question,
Total number of students in the class = 10
So, the ways the teacher can ask 3 students to complete the task will be,
= ¹⁰C₃ = 10!/[3! (10 - 3)!]
= (10 × 9 × 8 × 7!)/[3! × 7!]
= 720 / 6
= 120 ways.
To know more about Binomial Distribution:
https://brainly.com/question/14565246
#SPJ2
What is the value of
CNIC
?
81
16
16
81
16
81
81
16
PLEASE HELP!!!!!!!!!
Answer:
10.5
Step-by-step explanation:
An automobile passes a point PP at a speed of 84 mph. At PP it begins to decelerate at a rate proportional to time. If after 6.3 sec the car has slowed to 45 mph, what distance has it traveled in ft
Answer:
Distance in ft = 597.57 feet
Step-by-step explanation:
As per the
First equation of motion
84 mph = 37.5514 m/s
45 mph = 20.1168 m/s
v-u = a* t
Substituting the given values, we get -
37.5514 m/s - 20.1168 m/s = a * 6.3
a = 2.76 m/s^2
Now as per Newton's third law of motion
v^2-u^2 = 2 *a*S
Substituting the given values, we get -
37.5514^2 - 20.1168^2 = 2 * 2.76 m/s^2 * S
S = 182.142 Meters
Distance in ft = 597.57 feet
By the age of 2 a child is about 50% of his adult height how tall was a two year old who's adult height is 6 feet and 2 inches
Answer:
3 ft 1 in
Step-by-step explanation:
6 ft 2 inches comes to 74 inches.
50% of that is 37 inches, or 3 ft 1 in
Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin
i dont know this questions
Find the perimeter of an
octagon with each side
measuring 9 cm.?