Step-by-step explanation:
what is the question talking about
Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
119.816
Step-by-step explanation:
Given the data :
123.6, 225.1, 324.8, 422.9, 524.2
Mean absolute deviation (MAD) :
Σ|x - m| / n
m = mean = ΣX / n
n = same size = 5
m = 1620.6 / 5 = 324.12|
[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5
= 119.816
Si sacas una carta al azar de un mazo estándar de 52 cartas, ¿Cuál es la probabilidad de que obtengas una carta que sea menor a cinco o una de diamante?
Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.
Answer:
I think we are missing part of the question.
But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.
On the way home, it was 14 students in the van and 42 students in the bus, the ratio changes to 1:3
If you were able to pay off and get rid of all of your debt, what is that called?
A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?
A. 2 feet
B. 5 feet
C. 10 feet
D. 14 feet
Help ASAP!
Answer:
C) 10 feet
Step-by-step explanation:
h² = 8² + 6² = 64 + 36 = 100
h = √100 = 10
A computer game company conducts a survey of random sample of customers to determine their favorite type of game. The results of the survey are shown below based on the survey results how many customers are expected to prefer fantasy games out of the 1,000 customers?
Answer:
1.6% of customers
Step-by-step explanation:
What is the equation of the line that passes through the point (-6, -5) and has a
slope of 3/2 ?
Answer
y= 1.5x+4
Step-by-step explanation:
please help with number 11!!!!!!!!!!!!!!
Answer:
I'm not to sure about which one is 11 but the answer is B.
Step-by-step explanation:
A cylinder has a height of 4 inches and a diameter of 18 inches. Which equation can be used to find the total surface area of the cylinder in square inches?
A-S=2π(9) + π(9)´2
B-S=π(9)´2 (4)
C-S=2π(9)(4) + 2π(9)´2
D-S=π(9)(4) + π(9)´2
The equation to find the total surface area of the cylinder is S = 2π(9)(h) + 2π(9)².
As per the question, the diameter of the cylinder is given as 18 inches, so we can calculate the radius (r) by dividing the diameter by 2:
r = 18 inches / 2 = 9 inches
The height of the cylinder is given as 4 inches.
To find the total surface area of a cylinder, we can use the following equation:
Total Surface Area = 2πrh + 2πr²
Now we can substitute the values into the equation to find the total surface area:
S = 2π(9)(h) + 2π(9)²
Therefore, the required equation is S = 2π(9)(h) + 2π(9)².
Learn more about the surface area of a cylinder here :
brainly.com/question/14827013
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Find the area of a garden whose circumference is 36 yards.
19. What is the solution to 5.2x = 31.2? *
Answer:
x=6
Step-by-step explanation:
hope this helps
Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation.
(-1, -2), 3x - y = 5
Answer:
y = 3x + 1
Step-by-step explanation:
the slope of the line of the given equation can bé find in this way: -a/b, where a is the number that multiplies x and b is the number that multiplies y
m = -3/-1 = 3
two parallel lines have the same slope, so also the line that we are a searching has m=3
now we can use this formula
y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point
y-(-2) = 3 (x-(-1)
y+2 = 3x + 3
y = 3x + 3-2
y = 3x + 1
Mai spent $64 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the goal did she spend on fruit?
Answer:
80%
Step-by-step explanation:
64/80 = .8/1
multiply by a hundred and you get 80%
please help me!!!!!!
Answer:
(2)
Step-by-step explanation:
mean: (13+15+17+17+17+20+27)/7=18
median: 17
mode: 17
Which of the following place values would be found to the right of 1?
Answer:
1
Step-by-step explanation:
Consider the function: h(x) = 11 - 3x What is h(-2) ?
Answer:
17
Step-by-step explanation:
11-3x
11-3(-2)
11+6
Hence, 17
Hope it helps!
The evaluation is 17 when h(-2) of h(x) = 11-3x.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.
The given function is
h(x) = 11-3x
when x = -2
h(-2) = 11-3(-2)
= 11 + 6
= 17.
Therefore, the h(x) = 11-3x is 17 when x = -2
To learn more about the function;
brainly.com/question/28303908
#SPJ2
What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x ≤ 2
Answer:
-1, 0, 1, 2
Step-by-step explanation:
range of x in − 2 < x < 3: -1, 0, 1, 2
range of x in − 2 ≤ x ≤ 2: -2, -1, 0, 1, 2
What is the range of the graph below?
Answer:
B) -4 < y
Step-by-step explanation:
The lowest point on the y axis of the graph is -4 and everything else is higher
A spinner has spaces numbered 1 through 10, with an equal chance of
landing on each. A winning spin is one that lands on a 7 or more. What is
the probability of a winning spin? (answer as a reduced fraction) *
1/4
1/2
3/10
2/5
2/5 is the aneswer. beacuse 7/8/9/10 eqaul 4 times out of 10 to win 4/10 reduces down to 2/5.
18 multiplied by 2/3
Answer:
12
Step-by-step explanation:
18 x 2/3 = 36/3 = 12
2/3 of 18
2/3×18
2×6
12
hope this helps:)
what is the equation of the following line please help if u can
Answer:
B I believe
Step-by-step explanation:
every time the line hits a point you go up 1 and over 4
translate the phrase into a variable expression. use the letter m to name the variable. if necessary, use the asterisk for multiplication and the slash for division. the total number of minutes billed on the phone bill split between 3 phones
Answer:
m/3
Step-by-step explanation:
fghbzsvbftgzgbtefnysffafbydfs
Estimate the number of pints in 445 ounces
Answer:
about 28
Step-by-step explanation:
its actually 27.8125 but if we're estimating im assuming that means to round
Answer:
28 pints
Step-by-step explanation:
There are 28 pints in 445 fluid ounces .
Part I
What is the area of the side yard?
Answer:
its 165 square feet
Step-by-step explanation:
i got the same question and that was the answer (:
Find the slope of a line that passes through the given pair of points: (-3 , -1) and ( 2 , -1) .
Answer:
m=0
Step-by-step explanation:
m=y2-y1/x2-x1
m=-1-(-1)/2-(-3)
m=-1+1/2+3
m=0/5
m=0
If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?
Answer:
450
Step-by-step explanation:
i think thats right
A ladder is placed 5ft away from a house. The ladder comes up to 12ft on the
side of the house. How long is the ladder?
Answer:
c = 13
Step-by-step explanation:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
√169= √c²
13 = c
Find x and y ( please explain )
Answer:
y = 75°
Step-by-step explanation:
y and 105°
are on a straight line ,
a straight line is 180°
180 - 105 = 75°
y=75 °
I'm not sure about x hope you understand
please answer the questions
Hewwo!
[tex] \underline{ \underline{ \bf{Question}}} : [/tex] In a circle of radius 5 cm , AB and CD are two parallel chords of length 8 cm and 6 cm respectively. Calculate the distance between the chords , if they are :
i. on the same side of the centre
ii. on the opposite side of the centre
*Show your workings!
Answer:
AB=8cm⇒AE=4cmCD=6m⇒CF=3cmIn△AEDAE=4cm,AO=5cmOE=(AO)2−(AE)2=52−42=3cmIn△OFCCF=3cm,CO=5cmOF=OC2−CF2=52−32=4cm
∴ Distance between the chords=4cm−3cm=1cm
Answer:
I) 1 cm
II) 7 cm
Step-by-step explanation:
We are given a circle with a radius of 5 cm. AB and CD are two parallel chords of length 8cm and 6cm respectively. And we want to calculate the length of the chords if they are:
I) On the same side of the center.
Please refer to the first figure.
In it, O is the center, AB measures 8 and CD measures 6.
To find the distance between the two chords, we essentially need to find KJ, which is OJ - OK.
We will construct a segment from O to K and from K to J. This is perpendicular to the chords. Therefore, by the Perpendicular Bisector Theorem, it also bisects the chords.
ΔAOK is a right triangle. Therefore:
[tex]AO^2=OK^2+KA^2[/tex]
AO is simply the radius.
KA is half the length of AB since OK perpendicularly bisects the chord.
Therefore:
[tex](5)^2=OK^2+(4)^2[/tex]
So:
[tex]25=OK^2+16\Rightarrow OK^2=9\Rightarrow OK=3[/tex]
Likewise, ΔCOJ is also a right triangle. Therefore:
[tex]CO^2=OJ^2+JC^2[/tex]
CO is the radius, and JC will be half the length of CD. Thus:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ^2=16\Rightarrow OJ=4[/tex]
Therefore, the distance KJ between the two chords are:
[tex]KJ= OJ-OK=4-3=1\text{ cm}[/tex]
II) On opposite sides of the center.
Please refer to the second figure.
Again, O is the center, AB measures 8, and CD measures 6.
Likewise, segments OK and OJ are perpendicular bisectors of AB and CD, respectively.
And to find the distance, we essentially need to find JK or OJ + OK.
ΔKOB is a right triangle. Thus:
[tex]OB^2=OK^2+KB^2[/tex]
OB is the radius, and KB is half of AB:
[tex](5)^2=OK^2+(4)^2\Rightarrow OK=3[/tex]
ΔJOD is also a right triangle. Thus:
[tex]OD^2=OJ^2+JD^2[/tex]
OD is the radius and JD is half of CD:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ=4[/tex]
Therefore, the distance between the two chords are:
[tex]JK=OJ+OK=4+3=7\text{ cm}[/tex]