Answer:
x = -3
Step-by-step explanation:
First solve it:
Subtract the x's from both sides
2y = -3x +8
2y = -5x +2
Divide by two
y= -1.5x + 4
y = -2.5x +1
set them equal to each other:
-1.5x +4 = -2.5x +1
Add 2.5 x to both sides
1x +4 = 1
x +4 = 1
subtract 4 from both sides
x = -3
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]
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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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
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.
Help, this is due now... HELP
Answer:
100 1/4
Step-by-step explanation:
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
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:
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.
Plzzzzzzzzzzzzzzzzzzzzzzzz help
Answer:
Step-by-step explanation:
For number 1 the rate of change is 12 per 1 and for number 2 b is linear.
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:
Evaluate this expression
(5+5)x(5+5)/5
its 5=54 that is what i thsiknss
Please answer this question for me quick
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 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 = 6what is 75 Times 37 equal
Answer:
2775
Step-by-step explanation:
Hope this helped :)
Options
- positive
- negative
- 0
-undefined
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
Make a conjecture. How are rigid transformations and congruent figures related? Check all that apply.
Rigid transformations preserve segment lengths and angle measures.
Rigid transformations produce congruent figures.
If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.
Answer:
Rigid transformations preserve segment lengths and angle measures.
Rigid transformations produce congruent figures.
If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.
Step-by-step explanation:
A rigid transformation or an isometry is a transformation that does not change the sides and angle of plane figures.Reflection in the plane, translations and rotation or a combination of them produce images that are congruent to the preimage.This implies that, two figures are congruent if and only if a rigid transformation or a combination of one or more rigid transformations will map one plane figure onto another.Therefore all the given options are true.All of the answers are correct, meaning that A,B, and all true.
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.
How much will he be paid in the first 2 years?
Answer:
this is the Formel 4000:100×4=160
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]
What is 5/8 + 1/2 equal
Answer:
9/8
Step-by-step explanation:
1/2 = 4/8
5/8 + 4/8 = 9/8
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:
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".
For more about numerators and denominators,
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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:
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:
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.
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:
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I NEED HELP ASAP PLS ANSWER
please write $703.00 in words
Answer:
seven hundred and three dollars
Step-by-step explanation:
Answer:
seven hundred three
Step-by-step explanation:
just read it in hundreads