Answer:
The bottom is 11
The median is 12
Step-by-step explanation:
The median is the average of the top and bottom
(13+ 2x-3) /2 = 4x-16
Combine like terms
(10+2x)/2 = 4x-16
Divide by 2
5+x = 4x-16
Subtract x from each side
5+x-x = 4x-16-x
5 = 3x-16
Add 16 to each side
5+16 = 3x-16+16
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
The bottom is 2x-3 = 2*7-3 = 14-3 = 11
The median is 4x-16 = 4*7-16 = 28 -16 = 12
Answer:
YZ = 12, ML = 11
Step-by-step explanation:
The median is half the sum of the parallel bases, that is
YZ = [tex]\frac{KN+LM}{2}[/tex]
4x - 16 = [tex]\frac{13+2x-3}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
8x - 32 = 10 + 2x ( subtract 2x from both sides )
6x - 32 = 10 ( add 32 to both sides )
6x = 42 ( divide both sides by 6 )
x = 7
Then
YZ = 4x - 16 = 4(7) - 16 = 28 - 16 = 12
ML = 2x - 3 = 2(7) - 3 = 14 - 3 = 11
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 :)
Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin
i dont know this questions
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
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
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!
L.C.M of 4 and multiples of 4 and 8
please help me with 1 to 4!! <33
if you meant to put a link there is none
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
the percent of fat calories that a person in america consumes each day is normally disributed with a mean of about 36 and a standard deviation of about ten. suppose that 16 indivduals are randomly chosen. true or false: the random variable is defined as the average percent of fat caories consumed each day by a person in america.
Answer:
True
Step-by-step explanation:
Given that
The mean is 36
And, the standard deviation is 10
We take the sample of 16 individuals and the same would be randomly chosen
We need to find out that whether the given statement is true or false
So,
The given statement is true as the random variable means the average percent that could be consumed each day by a person
-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
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]
help please..............
Answer:
19.4 in.
Step-by-step explanation:
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:
.pl.help meerrrrreeeeee
they are website explaining this so you can grasp I will share the link
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 the perimeter of an
octagon with each side
measuring 9 cm.?
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
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
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
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 ❤️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.
Hello pls help plsss and thx!
Answer B
Distribute the 2
What is the value of
CNIC
?
81
16
16
81
16
81
81
16
PLEASE HELP!!!!!!!!!
Answer:
10.5
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
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.
Fill in the blank for the special triangle.
HELPPPPPP
HELLLLLP
Answer:
[tex] \sqrt{2} [/tex]
Hope it helps
pls give brainliest
Which of these functions has exactly two different zeros? Please help
Find Sin A
Help please
Answer:
b=90
c=30a=60
this kdkddkdkdk