Answer:
y=5/3x-79/7
Step-by-step explanation:
(-4, -7)
x1 y1
(8,-13)
x2 y2
y2-y1/x2-x1=
13+7/8+4= 20/12= 10/6= 5/3
y=5/3x+b
-7=5/3(-4)+b
The equation of a line passing through the points (-4,-7) and (8,-13) will be x + 2y + 18 = 0.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The given points are (-4,-7) and (8,-13).
Then the equation of a line passing through the points (-4,-7) and (8,-13) will be
[tex]\begin{aligned} y + 13 &= \dfrac{-13+7}{8+4} (x - 8)\\\\y + 13 &= - \dfrac{1}{2} (x - 8)\\\\2y + 26 &= -x + 8\\\\x + 2y + 18 &= 0 \end{aligned}[/tex]
More about the linear system link is given below.
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The owner of an automotive shop devotes 90% of his workweek to supervising, sales and accounting tasks. In one week, the owner spent 36 hours of his workweek on supervising, sales and accounting tasks. How many hours did he work that week? Group of answer choices
Answer: He worked 40 hours that week.
Step-by-step explanation:
Given : The owner of an automotive shop devotes 90% of his workweek to supervising, sales and accounting tasks. In one week.
Let x = Number of hours he work in a week.
then, Hours for supervising, sales and accounting tasks = 90% of x
As per given ,
[tex]90\%\ of \ x= 36\\\\\Rightarrow\ 0.90x=36\\\\\Rightarrow\ x=\dfrac{36}{0.9}=\dfrac{360}{9}\\\\\Rightarrow\ x=40[/tex]
Hence, he worked 40 hours that week.
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common
Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Please Help realy I need it
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
3 3/5 x (-8 1/3) =
Please help and quick
Answer:
3 3/5 x (-8 1/3) = -30/1
= -30
Step-by-step explanation:
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
(
x
−
1
)
(
x
+
2
)
(
2
x
+
3
)
(
x
2
−
x
−
1
)
(
0
)
(
x
+
3
)
Step-by-step explanation:
is 4 1/2 equivalent to 4.5/100
Answer:
Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.
Step-by-step explanation:
hope i could help
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y+4=−911(x−8)
y+4=−15(x−8)
y−4=−15(x+8)
y−4=−911(x+8)
Answer:
y-4=–911(x+8)
please mark as brainliest
Answer:y-4=–911(x+8)
Step-by-step explanation:
This is the correct answer i do k12
Dan invests £1600 into his bank account. He receives 3.5% per year simple
interest. How much will Dan have after 2 years? Give your answer to the
nearest penny where appropriate.
Answer:
171200 pennies
Step-by-step explanation:
Amount after 2 years = Principal + Interest
Given
Principal = £1600
Rate = 3.5%
Time = 2years
Get the interest
Interest = PRT/100
Interest = 1600*3.5*2/100
Interest = 32 * 3.5
Interest = £112
Get the amount after 2 years;
Recall that:
Amount after 2 years = Principal + Interest
Amount after 2 years = 1600 + 112
Amount after 2 years = £1712
Hence the amount Dan will have after 2 years is £1712
1712 pounds = (1712 * 100)penny
1712 pounds = 171200 pennies
need help plzzzzzxsss
Point D (-5, 3) and point E (6, -2) are located on a coordinate grid.
Which measurement is the best representation of the distance between point D and point E in units?
Answer:
Rounding to the nearest number, the answer would be 12 units
Step-by-step explanation:
I hope this helped! Please mark me as brainliest if you can!
I will give brainiest to whoever answers correctly !!
Solve for x.
3x - 161
7x - 382
Answer:
55.25 = x
Step-by-step explanation:
3x - 161 = 7x - 382
Balance method:
7x- 3x = -161 + 382
4x = 221
Divide to find x:
221/4 = x
55.25 = x
An online furniture store sells chairs for $200 each and tables for $650 each. The
store must sell no less than $12000 worth of chairs and tables each day. Write an
inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
Answer: There’s alot of answers but one of the is 18 table with the cost of 11,700$ and 1 chair with 200$ so in totally it 11,900, less then 12,000
Step-by-step explanation:
Which of the following is true about a parallelogram?
The diagonals are equal.
All sides are congruent.
The diagonals bisect each other.
The diagonals are perpendicular.
Answer:
The diagonals bisect each other.
Step-by-step explanation:
Not all diagonals of a parallelogram are equal.
The only quadrilaterals with all four sides being congruent are rhombus and squares so parallelogram is wrong.
The diagonals of a parallelogram bisect each other.
The diagonals of a parallelogram are only perpendicular when it is a square.
Julie's manager proposes a new pay rate. The manager says that Julie can make her original pay rate for the first
hours she works each day and that for any hours over the first 8 in each day she will be paid double ber bourly
rate. Explain how you would find her weekly earnings using this method
Step-by-step explanation:
Because he always do that non sense thing by this true method and always shout it when they will go from their house
what is equivalent to the expression 2/5 divided by 4
8x-6y=36
solve the linear equation
Answer:
The below is the answer to the equation. 4.5, 0
Step-by-step explanation:
QUICK WILL GIVE BRAINLIEST.
Answer:
-5
Step-by-step explanation:
here u go! hope i got it fast enough!
Answer:-5
Step-by-step explanation:
When there are two minuses It becomes plus
f(x) is a function.
0
3
с а м а
7
12
f(x)Help
Answer:
It's a function
Step-by-step explanation:
Because non of the inputs have the same output
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
The triangle on the right is bigger than the triangle on the left.
I am joyous to assist you at any time.
In 2010, the population of Alabama was about 4.8 million. This is an increase of about 7.5% over the population of Alabama in 2000. If this trend continues, predict the population of Alabama in 2030 and 2040.
Answer:
alabama is 7.85 million
Step-by-step explanation:
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 40; σ = 16
P(50 ≤ x ≤ 70) =______.
Answer:
0.2356
Step-by-step explanation:
Given that:
μ = 40; σ = 16
P(50 ≤ x ≤ 70) :
Using the Zscore formula :
(x - μ) / σ
P((50 - 40) / 16 ≤ Z ≤ (70 - 40) / 16)
P(50 ≤ x ≤ 70) = P(0.625 ≤ Z ≤ 1.875)
Using the Z probability calculator :
P(Z ≤ 1.875) - P(Z ≤ 0.625) -
0.9696 - 0.73401
= 0.23559
= 0.2356
A Netflix subscription is on sale for $41.94 for six months. What is the cost per month
Answer:
$6.99
Step-by-step explanation:
Divide the total cost by the number of months
4
Step-by-step explanation:
-8/5x -6 equals -54. what is x
Answer:
30
Step-by-step explanation:
......................
5/6 divided by 1/2 simplest from
Answer:
5/3
Step-by-step explanation:
(5/6)÷(1/2)
= (5/6) x 2
= 10/6 = 5/3
Hope this helps!
Answer:
the correct answer is 5/3
I'm 100000000000% sure
And this one please
Which equation could have been used to create this graph?
O y = 2x
O y = 4x
O y=x+4
O y = x + 2
Answer:
y =2x
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.
For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$
Answer:
525; $68.25
Step-by-step explanation:
21+.09x=.13x
x=525
21+.09(525)=68.25
.13(525)=68.25
The answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
A)
Let's assume the amount of calling is x for which the two plans cost the same.
So , the algebraic expression can be written as ;
Plan A = Plan B
or
21 + (0.09 × x) = 0 + (0.13 × x)
Solving this we will get amount of calling for which the two plans cost the same as :
21 = 0.13x - 0.09x
0.04x = 21
x = 525 minutes
B)
Now , the cost when two plans cost the same amount :
Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25
or
Plan A = Plan B = $68.25
Therefore , the answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
Learn more about algebraic expression here :
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The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 15.1% (i.e., an average gain of 15.1%) with a standard deviation of 35%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?
Answer:
a) the required percentage is 32.64%
b) the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
Step-by-step explanation:
Given that;
mean μ = 14.7 %
standard deviation σ =33%
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
P( portfolio lose money )
= P( x< 0) P( 0-14.7 / 33 )
P( Z < -0.45 ) = 0.3264 ≈ 32.64%
Therefore, the required percentage is 32.64%
b)
the cutoff for the highest 15% of annual returns with this portfolio will be:
P( X ≥ x) = 15%
1 - P(X ≤ x) = 0.15
P(X ≤ x) = 0.85
P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1
form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2
from the equations;
(x-14.7 / 13 ) = 1.04
33 × 1.04 = x-14.7
34.32 = x-14.7
x = 34.32 + 14.7
x = 49.02%
Therefore, the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
Will mark brainliest!! Please do the two in green using cos!!
Answer: 23.36 and 46.67
Step-by-step explanation:
Number 1:
[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]Number 2:
[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]