Find the standard deviation for the group of data items.
16, 17, 18, 19, 20
Answer:
Hope it helps, please give brainlest!
Step-by-step explanation:
Given PHS=CNF find the value of x, y and Z
Answer/Step-by-step explanation:
Since ∆PHS ≅ ∆CNF, therefore:
<P ≅ <C,
<H ≅ <N
<S ≅ <F
Thus:
Since, <P ≅ <C, therefore,
36° = (4z - 32)°
36 = 4z - 32
Add 32 to both sides
36 + 32 = 4z
68 = 4z
Divide both sides by 4
68/4 = z
17 = z
z = 17
Since <H ≅ <N, therefore:
6x - 29 = 115°
Add 29 to both sides
6x = 115 + 29
6x = 144
Divide both sides by 6
x = 114/6
x = 24
m<F + m<C + m<N = 180° (sum of ∆)
(3y - 1) + (4z - 32) + 115 = 180 (substitution)
Plug in the value of z and solve for y
3y - 1 + 4(17) - 32 + 115 = 180
3y - 1 + 68 - 32 + 115 = 180
3y + 150 = 180
Subtract 150 from both sides
3y = 180 - 150
3y = 30
y = 10
The value of x, y and z are 24, 10 and 17 respectively.
PHS≅CNF
Therefore,
∠P ≅ ∠C
∠H ≅ ∠N
∠S ≅ ∠F
36 = 4z - 32
36 + 32 = 4z
4z = 68
z = 68 / 4
z = 17
6x - 29 = 115
6x = 115 + 29
x = 144 / 6
x = 24
3y - 1 = 180 - 115 - (4z - 32)
3y - 1 = 180 - 115 - 4z + 32
3y - 1 = 97 - 4(17)
3y - 1 = 29
3y = 30
y = 30 / 3
y = 10
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there are 112 students for 14 teachers write the rate as a fraction then find the unit rate
Answer:
8 students for every teacher
Step-by-step explanation:
112 divided by 14 is 8
Answer:
8 students per teacher
Step-by-step explanation:
[tex]\frac{112}{14\\}[/tex]=[tex]\frac{8}{1}[/tex] You get this by dividing both numbers by 14.
88.47 feet converted into the nearest sixteenth of an inches is
Answer:
1,061.64
Step-by-step explanation:
Im sorry if this is wrong
IT'S URGENT PLEASEE
What is the slope of a line perpendicular to the line 2y = 3x - 10?
=================================================
Work Shown:
Solve the given equation for y
2y = 3x - 10
y = (3x-10)/2 ..... divide both sides by 2
y = (3x)/2 - 10/2
y = (3/2)x - 5
The equation is in y = mx+b form with m = 3/2 as the slope.
The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.
Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1
(3/2)*(-2/3) = -1
This is true for any pair of perpendicular lines, assuming neither line is vertical.
PLEASE HELP!!!
At a basketball game, 95% of people attending were supporting the home team, while 5% were supporting the visiting team. If 532 people attending the game supported the home team, what was the total number of people attending the game?
Answer:3800
Step-by-step explanation:
sorry if i got it wrong :/
Help ASAP!! Will mark brainlest!
a golf club has a driving range. non-members of the club may use the driving range by paying an entry fee of 8.50 and $5 per bucket of balls. lenny is not a member of the golf club. he went to the driving range on saturday and hit x bucket of balls. which of the following equations gives lenny's total cost.
A- y=5x+8.50
B- y=8.50x+5
C- y=5x-8.50
D- y=8.50x-5
Answer:
y=5x+8.50
Step-by-step explanation:
Options
- positive
- negative
- 0
-undefined
The Kraken is a mythical creature that was said to be known to consume ships whole. The great creature has long tentacles that are covered with suction cups. The kraken has a total of 8 tentacles and 1,000 suction cups total. The next number needed to open the treasure is the unit rate of suction cups per tentacle.
Answer:
The kraken has 125 suction cups on each tentacle.
Step-by-step explanation:
We know that the kraken has 8 tentacles, and a total of 1000 suction cups.
We can find the answer by dividing 1000 by 8 to find the unit rate of suction cups per tentacle.
Mimo sper 56.24 for a new binder $195 for a notebook, and
of her favorite mechanical pencils. About how much did she spend?
Answer:
251.24$
Step-by-step explanation:
In order to find the answer to this question you just need to add the total cost together.
What we do know:
[tex]B=56.24[/tex]
[tex]NM=195[/tex]
[tex]56.24+195=251.24[/tex]
[tex]=251.24[/tex]
Hope this helps.
What would be the volume of a tree that has a radius of 2 feet and a length of 14 feet?
A. 87.92 cubic feet
B. 124.54 cubic feet
C. 175.84 cubic feet
D. 212.72 cubic feet
Answer:
C) 175.84 cubic feet
Step-by-step explanation:
V=πr^2h is the formula I used
I plugged in the numbers and solved
The volume of the tree with a radius of 2 feet and a length of 14 feet is
176 feet³.
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The tree is in the form of a cylinder.
Radius = 2 feet
Height = 14 feet
Now,
The volume of the tree.
= πr²h
= 22/7 x 2 x 2 x 14
= 22 x 2 x 2 x 2
= 22 x 8
= 176 feet³
Thus,
The volume of the tree is 176 feet³.
Learn more about cylinder here:
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describe the steps to graph 2x 3y=6
Answer:
wheres the addition or subtraction etc. in between the 2x and 3y
Step-by-step explanation:
??????
What is the value of x?
8x + 2
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
(8x + 2) + 70 + 60 = 180
Step 2: Solve for x
Combine like terms: 8x + 132 = 180Isolate x term: 8x = 48Isolate x: x = 6Natalie walked 3/5 miles in 1/2 hour. How fast did she walk, in miles per hour?
Answer:
1.2 mph
Step-by-step explanation:
PLEASE MARK BRAINIEST
An ant can travel at a constant speed of 980 cinches every 5 minutes. At this rate٫how far can the ant travel in 7 minutes?
divide 980 in. by 5 minutes to figure out how many inches an ant moves in a minute. that ends up to be 196 in/minute. from there, multiply 196 in. by seven, leaving the sum as 1372. hope this helps, please mark brainliest and have an amazing day
Answer:
This answer is only an estimate but I think the ant could travel 1372 inches in 7 minutes.
Step-by-step explanation:
The problem states that the ant could travel 980 inches every 5 minutes so, if you divide 980 by 5 you should get 196. So this means that every minute the ant could travel 196 inches, and the question is, how far can the ant travel in 7 minutes? So to get the answer you should only need to multiply 196 to 7 then you should get 1372. Hope this helps and if you could mark this as brainliest. Thanks
PLZ HELP MEEEEE THIS IS DUE SOON AND IDK HOW TO DO IT
Answer:
what? there is nothing here... did you mean to attach a picture?
Step-by-step explanation:
Evaluate this expression
(5+5)x(5+5)/5
its 5=54 that is what i thsiknss
Can someone help with this one? You get 35 points
Answer:
the answer is d
Step-by-step explanation:
Ed made 8 key chains each week for 4 weeks. How many keychains did Ed make? Solve this problem any way you choose.
Answer:
32
Step-by-step explanation:
8 times 4 = 32
Answer: the answer is 32
Step-by-step explanation:
He made 8 key chains each week for 4 weeks 8*4 is 32 because if you make 8 key chains for 4 weeks it will add up to 32 hope this helps
Multiply: 1
3
× 2
5
To find the product,
the numerators and the denominators.
The product is .
Divide: 2
5
÷ 3
5
To divide, multiply by the .
The quotient is .
Answer:
HOPE THIS HELPS!!!
Step-by-step explanation:
To find the product,
✔ multiply
the numerators and
✔ multiply
the denominators.
The product is
✔ 2/15
Divide: 2
5
÷ 3
5
To divide, multiply by the
✔ reciprocal
.
The quotient is
✔ 2/3
.
Answer:
Izzdebizz was right i am at teacher
Step-by-step explanation:
Please answer this question for me quick
Name four fractions whose values are between 1/6 and 1/4
Answer:
1/9, 1/8, 1/7,1/5
Step-by-step explanation:
The fraction between 1/6 and 1/4 are 17/100, 19/100,1/5, and 21/100.
What is numerator and denominator?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.
Given the fraction
1/6 = 0.16
1/4 = 0.25
Now all values in between of it will be the answer.
So,
0.17 = 17/100
0.19 = 19/100
0.20 = 20/100 = 1/5
0.21 = 21/100
Hence "The fraction between 1/6 and 1/4 are 17/100, 19/100,1/5, and 21/100".
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What is the value of g(f(-5))?
Replace x in the equation for f(x) with -5:
|2x +9| = |2(-5) +9| = |-10 +9| = |-1| = 1
Now find x 1 and see where the graph of G(x) crosses the Y :
It crosses ay Y = 5
The answer is A. 5
Answer:
The correct answer is A. 5.
Step-by-step explanation:
I got it right on the Edmentum test.
2(x+4)+(x+1)=6(2x) solve for x
Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf 2 (x+4)+(x+1)=6 (2x)[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+(x+1)=12x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+x+1=12x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x+x+8+1=12x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x+9=12x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 12x=3x+9 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 12x-3x=9 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 9x=9 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {9}{9}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]
If f(x) = 3(x + 1) - 5x and g(x) = 12 - (6x - 7), solve the equation you get when
f(x) = g(x). Help ASAP pls!
Answer:
X=4
Step-by-step explanation:
F(x)=g(x)
3(x + 1) - 5x=12 - (6x - 7)
3x+3-5x=12-6x+7
-2x+3=19-6x
-2x+6x=19-3 (collecting like terms)
4x=16 (divide both side by 4 (
X=4
Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 9 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?
Answer:
When the sample size is [tex]n_1 = 5[/tex] ,
[tex]P( X < 11) = 0.9875[/tex]
When the sample size is [tex]n_2 = 6[/tex] ,
[tex]P( X < 11) = 0.993[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 9 \ min[/tex]
The standard deviation is [tex]\sigma = 2 \ min[/tex]
The first sample size is [tex]n_1 = 5[/tex]
The second sample size is [tex]n_2 = 6[/tex]
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma}{ \sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{2}{ \sqrt{5} }[/tex]
When the sample size is [tex]n_1 = 5[/tex] ,
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma}{ \sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{2}{ \sqrt{5} }[/tex]
=> [tex]\sigma_{x} = 0.894[/tex]
Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as
[tex]P( X < 11) = P( \frac{X - \mu }{\sigma } < \frac{11 - 9 }{0.8944 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X < 11) = P( Z < 2.24 )[/tex]
From the z table the area under the normal curve to the left corresponding to 2.24 is
[tex]P( Z < 2.24 ) = 0.9875[/tex]
=> [tex]P( X < 11) = 0.9875[/tex]
When the sample size is [tex]n_2 = 6[/tex] ,
Generally the standard error of the mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma}{ \sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{2}{ \sqrt{6} }[/tex]
=> [tex]\sigma_{x} = 0.816[/tex]
Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as
[tex]P( X < 11) = P( \frac{X - \mu }{\sigma } < \frac{11 - 9 }{0.816 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X < 11) = P( Z < 2.45 )[/tex]
From the z table the area under the normal curve to the left corresponding to 2.24 is
[tex]P( Z < 2.45 ) = 0.993[/tex]
=> [tex]P( X < 11) = 0.993[/tex]
Help, this is due now... HELP
Answer:
100 1/4
Step-by-step explanation:
find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.
solve the following quadratic equation using the quadratic formula and then choose the correct solution set 8x2-6x+1=0
Answer:
The solutions to the quadratic equation using the quadratic formula will be:
[tex]x=\frac{1}{2},\:x=\frac{1}{4}[/tex]
Step-by-step explanation:
Given the equation
[tex]8x^2-6x+1=0[/tex]
solving with the quadratic formula
[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\mathrm{For\:}\quad a=8,\:b=-6,\:c=1[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}}{2\cdot \:8}[/tex]
as
[tex]\sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}=2[/tex]
so
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:2}{2\cdot \:8}[/tex]
Separating the solution
[tex]x_1=\frac{-\left(-6\right)+2}{2\cdot \:8},\:x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}[/tex]
solving
[tex]x_1=\frac{-\left(-6\right)+2}{2\cdot \:\:8}[/tex]
[tex]=\frac{6+2}{2\cdot \:8}[/tex]
[tex]=\frac{8}{16}[/tex]
[tex]=\frac{1}{2}[/tex]
and
[tex]x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}[/tex]
[tex]=\frac{6-2}{2\cdot \:\:\:8}[/tex]
[tex]=\frac{4}{16}[/tex]
[tex]=\frac{1}{4}[/tex]
Therefore, the solutions to the quadratic equation using the quadratic formula will be:
[tex]x=\frac{1}{2},\:x=\frac{1}{4}[/tex]
Answer:
1/4 1/2
Step-by-step explanation:
A student would write an equation such as 2x + 38 = 90 for which set of angles?
S
Such as 2x + 38 = 180 for ubic
Answer:
Figure (c)
Step-by-step explanation:
a). Angles in the figure attached are the linear pair of angles.
Since, sum of the linear pair of angles is 180°.
2x + 38 = 180°
b). Angles given in this figure are the vertically opposite angles.
Since, vertically opposite angles are equal in measure.
2x = 38°
c). There are three angles given the picture.
Since these angles are formed at a point of a line, sum of angles will be 180°.
90° + 38° + 2x = 180°
2x + 38 = 180 - 90
2x + 38 = 90°
Therefore, figure (c) shows the equation.
Answer:
c
Step-by-step explanation: