Answer:
A) -3/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Write equation
12x + 8y = -6
Step 2: Write in slope-intercept form
Subtract 12x on both sides: 8y = -12x - 6Divide both sides by 8: y = -3/2x - 3/4Step 3: Find slope
Slope of a parallel line always has the same slope of the original line.
m = -3/2 (Original)
m = -3/2 (Parallel)
a population of 29 year-old males has a mean salary of $29,321 with a standard deviation of $2,120. if a sample of 100 men is taken, what is the probability the sample mean salary will be less than $29.000?
The probability that the sample mean salary will be less than $29,000 is -1.51.
What is Central limit theorem?The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.
What is central limit theorem formula?Central Limit Theorem for Sample Means z-score and standard error of the mean: z=ˉx−μx(σx√n)
z=ˉx−μx/(σx/√n)
where
xbar = $29,000
μx = $29,321
σx = $2,120
n = 100
inputing value into the z-formula
(29,000 – 29,321) / (2,120/√100) = -321/212 = -1.51
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PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
B
Step-by-step explanation:
You substitute first
\(11\frac{1}{2} + 6(-4\frac{2}{3}) = 11\frac{1}{2} + 6(-\frac{14}{3}) = 11\frac{1}{2} + (-\frac{84}{3}) = 11\frac{1}{2} -28 = -16 \frac{1}{2}\)
B
The point V(2, 3) is translated 8 units left. What are the coordinates of the resulting point,
V(-6,3)
subtract 8 from 2, since it is moving to the left but keep the y the same since it is not translated up or down
There are 9 people in an office with 5 different phone lines. If all the lines begin to ring at once, how many groups of 5 people can answer these lines?
Answer:
1
Step-by-step explanation:
if it was 10 it would be 2, but it isnt. and it cant be a number with a decimal cause i would be surprised if a math problem has it where you cut people in half or portions
10 Kofi scored 45% in the first paper of his mathematics examination and scored x% in the second paper (where x is a whole number). He was given a grade C for the subject, which meant that the average of his marks on the two papers was greater than 48% but less than 52%. Find the possible values of x. [WAEC]
The possible values of x are 51% < x < 59%.
When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.
Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.
Let K represent Kofi
1st paper = 45/100
2nd paper = x / 100
Mean score = ( 45 + x ) % / 2
The possible range of x = 48% < (45+X)/2 < 52%
Cross multiplying
96% < 45 + x < 104%
Subtract 45 from both sides
Range = 51% < x < 59%
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Write 5x – 4y = 10 in slope-intercept form
Solve for y.
−2y+5=−11
Responses
y = 8
y, = 8
y = 3
y, = 3
y=−3
y equals negative 3
y=−8
Answer:
8
Step-by-step explanation:
bResponses
y = 8
y, = 8
y = 3
y, = 3
y=−3
Which is the solution of 3(t+1) ≤ 6t - 13.5?
A t≤-5.5
B t≥-5.5
C t≤ 5.5
D t≥ 5.5
Answer:
Step-by-step explanation:
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Help me please I need help x^2 - 8x + 16
The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.
The given trinomial is x²-8x+16.
Factors of 16 Sum of factors
-1 and -16 -1+(-16)=-17
-2 and -8 -2+(-8)=-10
-4 and -4 -4+(-4)=-8
The set of factors would used to factor the trinomial are -4 and -4.
Therefore, option C is the correct answer.
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Dexter runs around a track at 10 laps in 20 minutes. How many minutes per lap is that?
Answer:
10 minutes
Step-by-step explanation:
Answer: that would be 83 seconds a lap i believe
Ps: this dexter kid is really fast
Step-by-step explanation:
I hope this helps if not sorry :(
Monte recorded the gas mileage, in miles per hour, of ten different cars he is considering buying: 34, 27, 30, 24, 28, 31, 42, 30, 29, and 19.
What is the median?
Answer:
29.4
Step-by-step explanation:
42+34=76
76+31=107
107+30+30=167
167+29=196
196+28=224
224+27=251
251+24=275
275+19=294
there are 10 cars that he wants
294/10=29.4
The median of the given data set is 29.5.
What are the mode and median?Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.
For example;
Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.
As per the given mileage set,
34, 27, 30, 24, 28, 31, 42, 30, 29, and 19.
Write the above set in increasing order as
19,24,27,28,29,30,30,31,34,42
The median will be the middle value, since there is an even number so median will be as,
Median = (5th value + 6th value)/2
Median = (29 + 30)/2 = 29.5
Hence "The median of the given data set is 29.5".
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The monthly profit for a company that makes decorative picture frames depends on the price per frame. The company determines that the profit is approximated by f(p)= -80p + 3440p -36,000, where p is the price per frame and f(p) is the monthly profit based on that price.
Requried:
a. Find the price that generates the maximum profit.
b. Find the maximum profit.
c. Find the price(s) that would enable the company to break even.
Answer:
a. $21.50
b. $980
c. $25 and $18
Step-by-step explanation:
a. The price that generates the maximum profit is
In this question we use the vertex formula i.e shown below:
\((-\frac{b}{2a}, f(-\frac{b}{2a} ))\\\\\)
where a = -80
b = 3440
c = 36000
hence,
P-coordinate is
\((-\frac{b}{2a}, (-\frac{3440}{2\times -80} ))\\\\\)
\(= \frac{3440}{160}\)
= $21.5
b. Now The maximum profit could be determined by the following equation
\(f(p) = 80p^2 + 3440p - 36000\\\\f($21.5) = -80(21.5)^2 + 3440(21.5) - 36000\\\\\)
= $980
c. The price that would enable the company to break even that is
f(p) = 0
\(f(p) = -80p^2 + 3440p - 36000\\\\-80p^2 + 3440p - 36000 = 0\\\\p^2 -43p + 450 = 0\\\\p^2 - 25p - 18p + 450p = 0\\\\p(p - 25) - 18(p-25) = 0\\\\(p - 25) (p - 18) = 0\)
By applying the factoring by -50 and then divided it by -80 and after that we split middle value and at last factors could come
(p - 25) = 0 or (p - 18) = 0
so we can write in this form as well which is
p = 25 or p = 18
Therefore the correct answer is $25 and $18
Which is the best estimate of the distance between the point (–25, 10) and the origin? 8 units 15 units 23 units 27 units
Answer:
27 units
Step-by-step explanation:
I don't think that diagonals count so I think it is 27 units.
Tell me if I'm wrong :)
could u help me
with this
Answer:
P = 7
Step-by-step explanation:
46+8=54
54-5=49
49÷7=P
What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
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A family of 2 adults and 3 children went to a movie. The tickets cost $8 for adults and $5 for
children. Which expression represents the total cost of the tickets?
Answer:
I think it would be 2(8) + 3(5) = x or = 31
Step-by-step explanation:
4. Calculate the estimated cost of constructing the following house in New
Orleans, Louisiana: a two-story home of 950 ft2 on the first floor and 800 ft²
on the second floor.
O A. $113,750
O B. $67,600
O C. $61,750
O D. $52,000
The estimated cost for constructing the house in New Orleans, Louisiana of the given square feet is option A. $113,750.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that, construction rate per square feet is $65.
We have to find the estimated cost for a two-story home of 950 ft2 on the first floor and 800 ft² on the second floor.
Total area of the plot = 950 ft² + 800 ft²
= 1750 ft²
Estimated cost can be calculated by multiplying total area with the construction rate per square feet.
Estimated cost = 1750 ft² × $65
= $113,750
Hence the estimated cost is $113,750.
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Pls help I really need a good grade on this
Answer:
\(y=78\)
Step-by-step explanation:
\(\frac{y}{13}-2=4\)
\(\frac{y}{13}-2+2=4+2\) (Add \(2\) to both sides to isolate \(y\))
\(\frac{y}{13}=6\) (Simplify)
\(\frac{y}{13}*13=6*13\) (Multiply both sides of the equation by \(13\) to get rid of the denominator)
\(y=78\) (Simplify)
Hope this helps!
Jeremy makes $4.70 every time he mows a lawn but it costs him $6.80 to refill his lawn mower with gas. If Jeremy mows 5 lawns using 3 tanks of gas, how much did he profit? *
Step-by-step explanation:
5 × 4.70=23.50
3× 6.80 = 20.40
23.50-20.40=3.10
Answer:
3.10
Step-by-step explanation:
Hope this helps
Please answer!!!
question: What is the triangle's base, b?
Answer:
b = 8 cm
Step-by-step explanation:
Area: 1/2*base*height
1/2*base*3=12
3*base=24
base=24/3
base=8 cm
Kyra is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve large rooms that can hold 8 people, and small rooms that can hold 6 people. Kyra reserved twice as many large rooms as small rooms, which altogether can accommodate 88 guests. Determine the number of small rooms reserved and the number of large rooms reserved.
The number of small rooms reserved is 4.
The number of large rooms reserved is 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Small rooms are denoted as S.
Large rooms are denoted as L.
Now,
We will make two equations.
L = 2S _____(1)
8L + 6S = 88 ______(2)
Putting (1) in (2) we get,
8L + 6S = 88
8 x (2S) + 6S = 88
16S + 6S = 88
22S = 88
S = 88/22
S = 8/2
S = 4
Now,
Putting S = 4 in (1) we get,
L = 2 x 4
L = 8
Thus,
The number of small rooms and large rooms reserved is 4 and 8.
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graph the right triangle ABC with the right angle vertex located at A. Point C is located at (0,3), AC = 5 units, and AB = 3 units. Provide the coordinates of points A and B.
Answer:
\( {31}^{66} |26 | \div 23\)
What are the missing numbers in this series: 10,16,21,26,31,
Answer:
38
Step-by-step explanation:
16 - 10 = 6
21 - 16 = 5
26 - 21 = 4
31 - 26 = 5
31 + 6 = 38
The next missing number is 38.
From there, continue the pattern.
When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values is the _____ mean.
Andrew wants to dilate a triangle. If the original triangle has a base of 15 units and an area of 60 square units, what will be the area of the new triangle if the new base is 75?
Answer:
300
Step-by-step explanation:
For every 1 of the base, there's 4 of the area.
Which of these best explains the next step to simplify this expression?
Answer:
Make the -4 exponent in the denominator positive.
you can have the points
Triangle X(1, 6), Y(5, -2), Z(-5, -1) is mapped onto Δ
Δ
XʹYʹZʹ by a dilation with center (1, -2) and a scale factor of 3. Which function represents this dilation?
(x, y) → (1 + 3(x + 1), -2 + 3(y + 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y - 2))
(x, y) → (1 + 3(x - 1), -2 + 3(y + 2))
(x, y) → (x + 3, y - 6)
30 points
On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)
by herons formula
A = \(\sqrt{s(s-a)(s-b)(s-c)}\)
s = a+b+c/3
s = 5+2+5+/3 =12/3 = 4
Area of the triangle is, A =
\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)
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Answer:
2.828
Step-by-step explanation:
Question 44 of 44
Which of these is an optional deduction for money to be taken out of an
employee's paycheck?
A. Federal income tax
B. Medicare
C. Life insurance
D. Social Security
Answer : Life Insurance
Explanation : Have A Good Day
◊ YusuCr ◊
The optional deduction for money to be taken out of an employee's paycheck is life insurance.
Option C is the correct answer.
What is an employee's paycheck?An employee's paycheck is a document issued by an employer that lists the amount of money an employee has earned during a certain pay period and the amount of money that has been withheld for taxes, insurance, and other deductions.
It also includes the net amount of money that the employee is entitled to receive after all deductions have been made.
We have,
Life insurance is an optional deduction for money to be taken out of an employee's paycheck.
The other options listed (Federal income tax, Medicare, and Social Security) are typically mandatory deductions required by law.
Thus,
The optional deduction for money to be taken out of an employee's paycheck is life insurance.
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