Answer:
$57.289
Step-by-step explanation:
18% of 48.55
48.55 × 18 ÷ 100
= 8.739
48.55 + 8.739
=$57.289
According to the latest real estate report from a suburban town, the mean number of home purchases during last quarter was 175 homes with a population standard deviation of 6 homes. A real estate agent believes that the recent increase of mortgage interest rates is causing a decline in home purchases. To test this, the real estate agent randomly selects 60 recent home purchases. What is the probability that the mean of this sample of home purchases is between 173 and 174 homes
Answer:
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(173≤X≤174) = 0.0936
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 175
Given that the standard deviation of the Population = 6
Let 'x⁻' be the mean of the random sample
Given that x₁⁻ = 173
[tex]Z_{1} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{173-175}{\frac{6}{\sqrt{60} } } =-2.58[/tex]
Given that x₂⁻ = 174
[tex]Z_{2} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{174-175}{\frac{6}{\sqrt{60} } } = -1.29[/tex]
Step(ii):-
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(X₁≤X≤X₂) = P(Z₁≤Z≤Z₂)
= P(Z≤Z₂) - P(Z≤Z₂) ( both values 'Z' values are negative)
= 0.5 -A(Z₁) - (0.5 -A(Z₂))
= |A(Z₂) -A(Z₁)|
P(173≤X≤174) = | A(2.58)-A(1.29)|
= 0.4951 - 0.4015 (∵ from normal table)
= 0.0936
Final answer:-
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(173≤X≤174) = 0.0936
The percent of Tom winning a game is 20%, he played 30 games. How mang games did he lose?
Answer:
He won 6 games and lost 24 games.
Use completing the square to find the equation of the following circle in standard form.
x2 + y2 - 4x + 12y - 16 = 0
Answer:
Here's a calculator that should help
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php
Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. The mean pulse rate (in beats per minute) of the group of adult males is bpm. B. The mean pulse rate (in beats per minute) of the group of adult males is not bpm. C. There sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is bpm. D. There sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is bpm.
Answer:
D. There is sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 69bpm.
Step-by-step explanation:
Hypothesis testing is used in statistics to confirm the validity of a statement or observation. Null hypothesis is the original observation for which the test is being conducted. Alternative hypothesis is set against the null hypothesis to reach a conclusion whether to accept or reject the null hypothesis. In the given scenario there is sufficient evidence to reject the null hypothesis.
1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4
Answer:
-84
Step-by-step explanation:
Since m=-4, we can plug -4 into the expression and use PEMDAS
7(m - 8)
7((-4)-8)
7(-12)
-84
What is the slope of the line that passes through the
points (4,-7) and (9, 1)?
A) 5/8
B) 8/5
C) -6/12
D)-13/6
Answer:
C) -6/12
Step-by-step explanation:
Sana nakatulong
Need help with this problem
Which of the following sets of numbers could not represent the three sides of a right
triangle?
Answer:
{48, 64, 81}
Step-by-step explanation:
how am i supposed to solve this ?
Answer:
Step-by-step explanation: so first you got to distribute the on both sides so like the 2 and the ten from there you just eliminate and do it like normal. I’m sorry I’m bad at at explaining it but I hoped it helped some how :)
Raffia went shopping for new furniture he bought a couch for $750 and a mattress for 950 dollars. When he came home he had $350 in his purse. How much money did he have when he left home. Please answer step by step will mark brainliest and thanks !!!!!!!!!!!
Answer:
$2050
Step-by-step explanation:
750+950+350
!!!!NEED HELP ASAP DUE SOON!!!!!This table of values represents a linear function. Enter an equation that represents the function defined by this table of values.
Answer:
y=3x+6
Step-by-step explanation:
Just test this on like a graph or something and you will see it works. Let me know if there is a fault in my answer. Thanks! Have a good day.
please help is it 2/9?
Answer:
7/9
Step-by-step explanation:
7/9
Answer:
7/9
Step-by-step explanation:
Brainliest maaaybe? :)
Need your help answer correctly for 20 points! <3
12.50 dollars per hour
Answer:
$12.50
Step-by-step explanation:
Hi,
Cassie: 250 / 20 = 12.5
Marli: 312.50 / 25 = 12.5
Brad: 350 / 28 = 12.5
Each worker makes $12.50 per hour.
I hope this helps :)
what is the value of y
Answer:
y= -6
Step-by-step explanation:
-2y - 5y= -7y
-7y=42
42/-7=
y= -6
Can someone help me with this. Will Mark brainliest.
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Use the distance formula:
[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
plug in (-5,6) for (x1,y1) and (-3,-1) for (x2,y2)
[tex]\sqrt{(-5-(-3))^2+(6-(-1))^2}[/tex]
[tex]\sqrt{4+49}[/tex]
[tex]\sqrt{53}[/tex]
Hope that helps :)
What are the x and y-intercepts of the line described by this equation? −6x+3y=18.9−6x+3y=18.9 Enter your answers in the boxes in decimal form.
Answer:
x intercept = -3.15
y intercept = 6.3
Step-by-step explanation:
Given the expression
-6x+3y=18.9
x intercept occurs at y = 0
-6x+3(0)=18.9
-6x = 18.9
x = -18.9/6
x = -3.15
Hence the x intercept is -3.15
y intercept occurs at x= 0
-6(0)+3y=18.9
3y = 18.9
y = 18.9/3
y = 6.3
Hence the y intercept is 6.3
please help!! it’s due asap
Answer:
x = -4 and 2
Step-by-step explanation:
When x = -4 and 2, y = 0 so -4 and 2 are the roots
I need this answered quickly!
Please and Thank you!
Answer:
A
Step-by-step explanation:
-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.
Help please multiple choice interval. 20 Points. Thanks very much!
Answer:
D
Step-by-step explanation:
convert 50 percentage into fraction
Answer:
50/100, simplified to 1/2
Step-by-step explanation:
50% means half of 1.
1/2=.5 which is half of 1.
1=100%
.5=50%
1/2=50%
Answer:
[tex] \displaystyle \frac{1}{2} [/tex]
Step-by-step explanation:
we are given a parcentage
we want to convert it into fraction
remember that,
[tex] \displaystyle \% = \frac{1}{100} [/tex]
therefore
substitute:
[tex] \displaystyle 50 \times \frac{1}{100} [/tex]
reduce fraction:
[tex] \displaystyle \cancel{50} \times \frac{1}{ \cancel{100} \: ^{2} }[/tex]
[tex] \displaystyle 1 \times \frac{1}{2} [/tex]
simplify multiplication:
[tex] \displaystyle \frac{1}{2} [/tex]
hence,
[tex] \displaystyle 50\% = \frac{1}{2} [/tex]
The students in a club are selling flowerpots to raise money.Each flowerpot sells for $15.
Part A
Write an expression that represents The total amount of money, in dollars, The students raise from selling flowerpots.
Answer your expression in the box provided. Enter only your expression.Please hurry!
Answer:
y = 15x
Step-by-step explanation:
For every flower pot purchased (y), the quantitity of the price (x) will go up by $15.
Answer:
y = 15x
Step-by-step explanation:
Someone help I’ll give you Brainly plus 15 points
Find the value of the variables in the simplest form
Answer:
y = 2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
y² = ([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{2}[/tex] )² = 2 + 2 = 4 ( take the square root of both sides )
y = [tex]\sqrt{4}[/tex] = 2
Find the area of the circle. Round your answer to the nearest hundredth. diameter 3in
Area of circle = pi × r squared
A= 3.14....× (1.5×1.5)
A= 7.068583471
A= 7.07in( to nearest hundredth)
determine the mode of the set of data in the stem and leaf plot below
Answer:
51
Step-by-step explanation:
mode is the value which appears the most than other values. In this case 51 will appear 3 times.
Answer:
5.1
Step-by-step explanation:
dont forget the decimal
There are 30 students in Mrs. Rodriguez’s class. 20% got an A on the test. How many students got an A?
Answer
6.
Steps
30/100×30
=6
Answer:
6
Step-by-step explanation:
There are 30 students
So,
20÷100×30=6
In the above figure, m∠AOC = 30° and m∠BOD = (2x + 39)°. If ∠AOC and ∠BOD are vertical angles, what is the value of x? A. x = 69 B. x = -9 C. x = 34.5 D. x = -4.5
i need help asap
Answer:
bestie thats hard
Step-by-step explanation:
Answer:
D. x=-4.5
Step-by-step explanation:
Since they are both vertical angles, m∠BOD must also be equal to 30 degrees, and if you input -4.5 as x, (2 x -4.5x) + 39, that is rewritten as -9 and 39. 39 - 9 is 30 degrees.
PLEASE HELP!!
Daniel deposits $1250 into each of two savings accounts shown in the image. Daniel does not make any additional deposits or withdrawals.
- Account A earns 5% annual simple interest.
- Account Bearns 5% interest compounded annually
What is the sum of the balances of Account A and Account B at the end of 4 years?
A. $1,500.00
B. $1,519.38
C. $3,019.38
D. $2,857.59
Answer:
234
Step-by-step explanation:
x=2+3
Marcus changed jobs after college. His old salary was $48000 per year. Now his new salary is 37% more per year. What is his new salary?
Answer:
65,760
Step-by-step explanation:
move decimal over two places to make a percent a decimal so .37
then multiply that times the 48000 to get 17,760 and then add that to the original 48000 to get 65,760
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Step-by-step explanation:
(0, -6) is the y-intercept, as x = 0. Moving up 2, and right 1 represents the slope of the function. Going up is positive in the y direction, and going right is positive in the x direction.
Drawing a line through the 2 points gives a sneak peak on the full function to be graphed
PRO GAMER MOVE: function is y = 2x - 6
Answer:
It's A. (Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.)