Answer:
16ft by 16 ft: NO
10ft by 15ft: YES
15ft by 20ft: NO
12ft by 16ft: YES
Step-by-step explanation:
First, we know that the scale used is:
1 in = (1 + 1/2) ft.
This means that each inch on the drawing is equivalent to (1 + 1/2) ft.
We know that Michael uses a paper that has the measures:
width = (8 + 1/2) in
length = 11in
Then the maximum dimensions that can be represented with this paper are:
WIDTH = (8 + 1/2)*(1 + 1/2) ft. = (8 + 8/2 + 1/2 + 1/4) ft
= (8 + 4 + 2/4 + 1/4) ft
= (12 + 3/4) ft
LENGTH = 11*(1 + 1/2) ft = (11 + 11/2)ft = (11 + 10/2 + 1/2)ft
= (11 + 5 + 1/2)ft = (16 + 1/2) ft.
Now let's analyze the options, we can only draw the rooms in the paper if the measures are equal or smaller than the ones we found above:
Where the measures are written as: "width by length".
a) 16ft by 16 ft.
width = 16ft
length = 16ft
We can not draw this, because the maximum width that we can draw is (12 + 3/4) ft, which is smaller than 16ft.
b) 10 ft by 15 ft
width = 10ft
length = 15ft
Both are smaller than the maximum measures we found, then yes, we can draw this room.
c) 15 ft by 20 ft
width = 15ft
length = 20ft
Both are larger than the maximum measures, so no, we can not draw this.
d) 12ft by 16ft
width = 12ft < (12 + 3/4) ft = maximum width
lenth = 16ft < (16 + 1/2) ft = maximum length.
Both measures are smaller than the maximum ones, then we can draw this one
A telephone pole casts a 32-foot shadow, while a street sign next to the pole casts a 12-foot shadow. If the
telephone pole is 40 feet tall, what is the height of the street sign?
12
Answer: The height of street sign = 15
Step-by-step explanation:
At the same time, the angle made by the light on each object is the same.
Pole and street sign both standing vertical to the ground.
So triangle made by both of them are similar
The sides of similar triangles are proportional,
[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]
Hence, the height of street sign = 15
A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
A. $18.30
B. $17.33
C. $17.46
D. $17.50
Answer:
b
Step-by-step explanation:
A salesman at a clothing store makes a sale to 30% of the customers he talks to, and wants to try out a new tecnique to see if he can change this rate. He decides to collect data for a few months on the percentage of customers he makes a sale to, and he is able to construct a 95% confidence interval of (.3095, .3275). Is there evidence at 5% significance that he has changed his average sales?
Answer:
Yes, we can conclude that average sales has changed.
Step-by-step explanation:
The null hypothesis, H0 : μ = 0.3
The alternative ; H0 : μ ≠ 0.3
The result of the 95% confidence interval of (.3095, .3275); This shows that the confidence interval is now between 30.95% and 32.75% ; since μ does not lie within the confidence interval value and the lower boundary of the confidence interval is > 30; we Can conclude with an evidence of 5% significance that his average sales as changed (increased).
We can reject H0 and conclude that μ > 0.3
Do you know this??
I’m confused
Answer:
1: B
2: A
3: D
4: C
Step-by-step explanation:
In order to find the unit rate you have to divide the first number by the second number. You divide the first number because it is the gallons you are trying to find PER minute. In this case you are dealing with fractions which means you have to multiply the first number by the reciprocal of the second number.
Example 1:
3/4 ÷ 1/2
3/4 x 2/1
= 3/2
= 1 1/2
Example 2:
1 1/2 ÷ 1/2
3/2 ÷ 1/2
3/2 x 2/1
= 6/2
= 3
Evaluate:
Σ18/1 (5n– 4) = [? ]
Basically, you are going to evaluate 5n - 4 from n = 1 to n = 18. Don't forget to add as you evaluate.
I will get you started.
Let n = 1 and then n = 2.
5(1) - 4 + 5(2) - 4 + the rest
5 - 4 + 10 - 4 + the rest
1 + 6 + the rest
7 + the rest
Just continue the pattern. You will then let n be 3, 4, 5, etc all the way to 18.
En un parque hay una tienda donde se alquilan patines a 0,50€ la hora, monopatines a 1€ la hora y bicicletas a 2€ la hora.
Pregunta completa:
En un parque hay una tienda donde se alquilan patines a 0,50 € la hora; Patinetas a 1 € la hora y bicicletas a 2 € la hora. ¿Cuál es la ecuación de los costos en función del tiempo empleado en cada uno de los casos?
Respuesta:
C (t) = 0,50 billones de euros; C (t) = € t; C (t) = 2 billones de euros
Explicación paso a paso:
Dada la siguiente tarifa de alquiler:
Patines = 0,50 € por hora
Patinetas = 1 € por hora
Bicicletas = 2 € la hora
La ecuación de costo en función del tiempo en cada caso se puede expresar como:
Costo en función del tiempo; Connecticut)
Donde, t = tiempo
Costo, C (t) = costo por hora * Número de horas
C (t) para patines:
C (t) = 0,50 t €
Costo ; C (t) para patinetas:
C (t) = € t
Costo ; C (t) para bicicletas;
C (t) = 2 billones de euros
A 2-column table with 5 rows. Column 1 is labeled Number of Siblings with entries 0, 1, 2, 3, 4. Column 2 is labeled Students with entries (Jenn, Bill, Rosa, Juan), Cho, (Damon, Mike, Lisa, Lupe, Maggie), blank, Greg.
A small class took a survey of the number of siblings each student has. The data are shown in the table.
Which data representation would be most appropriate to represent each student who has a given number of siblings?
line graph
line plot
bar graph
stem and leaf plot
Answer:
line plot
Step-by-step explanation:
Polling organizations regularly collect data on the public’s opinions and habits. A question on a recent survey asked, “How often do you purchase coffee from a coffeehouse?” There may be differences in how people respond to this question based on whether the person is a full-time student. Suppose a polling organization uses random digit dialing of local phone numbers to take a poll and asks respondents whether they are full-time students. In addition, they ask respondents to identify how often they purchase coffee from a coffeehouse (never, once a week, two to three times a week, daily, more than once a day). The data are collected in a 5-by-2 table of counts. Which of the following is the appropriate null hypothesis when conducting a chi-square test for the data?
Answer:
there is an association between how often a person purchases coffee from a coffee house and whether a person is a full time student.
Step-by-step explanation:
Answer:
C) H0 : How often a person purchases coffee from a coffeehouse is not associated with whether a person is a full-time student.
Step-by-step explanation:
This represents a chi-square test for independence because one sample was taken and two variables were observed. This is an appropriate null hypothesis for a chi-square test for independence in this study as it hypothesizes no association between coffee-purchasing habits and full-time student status.
please help!!!!
polygon MNOPQ is dilated by a scale factor of 5.4 with point M as the center of dilation to form the image M’N’O’P’Q’. compare NO and N’O’. N’O’ ____ through point M. the slopes of N’O’ and NO are ____
the first blank answer choices are: passes, or does not pass
the second blank answer choices are: the same, or different
Right I needed help on this
how much markup is $75 to $180
Answer:
105
Step-by-step explanation:
75+105 =180
Can someone please answer this
Answer:
It is true
Step-by-step explanation:
It is the same shape, it is just moved to a different spot on the graph because of translations.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
?
Step-by-step explanation:
I can't see anything attached but I know all angles of a triangle add up to 180 degrees. It probably doesn't help tho.
Answer:
Since no figure is shown, i'll give you a hint.
Step-by-step explanation:
All angles inside a triangle equal 180 when combined.
i'll help more if you post the photo.
compute the distance between (9,-5,4) and (-10,3,4)
Answer:
~20.6155
Step-by-step explanation:
To compute distance between two points, we can get the vector from one to the other by subtracting them and then computing the length of the vector.
The length of a vector V is:
[tex]|V| = \sqrt{\sum_{i=1}^n v_i^2}\\[/tex]
The vector is:
(9, -5. 4) - (-10, 3, 4) = (9 + 10, -5 - 3, 4 - 4) = (19, -8, 0)
So the length is:
[tex]\sqrt{19^2 + (-8)^2} = \sqrt{361 + 64} = \sqrt{425} = \sqrt{5\cdot 5\cdot 17} = 5\sqrt{17} \approx 20.6155281281[/tex]
help me plzz and thank u sm
Answer:
The equation of the axis of symmetry is x = 7
Step-by-step explanation:
Mathematically, we have the equation of the axis of symmetry as;
x = -b/2a
where a is the coefficient of x^2 = 1
b is the coefficient of x which is -14
So, the equation of the axis of symmetry will be;
x = -(-14)/2(1) = 14/2 = 7
So the equation of the axis of symmetry is x =7
Can someone help me with this. Will Mark brainliest.
Answer:
False
Step-by-step explanation:
because all four sides of a rectangle don't have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares—all squares are both a rectangle and a rhombus.
:))
Use the Subtraction Property of Equality to complete the following statement:
If 10x+6 - 21, then____=15
A.) 10x - 6
B.) 10x + 6
C.) 10x
D.) 1.5
Answer:
Assuming the question is "If 10x+6 = 21" with an equation sign in place of the subtraction:
C.) 10x
Step-by-step explanation:
10x + 6 = 21
10x + 6 - 6 = 21 - 6
10x = 15
What is the measure in degrees of an angle that is supplementary to a 98
degree angle?
Answer:
82°Explanation:
180 - 98 = 82°
An average batter hits a ball with a force of 380 N. If the bat contacts the ball for a distance of 50 m, how much work is done?
Answer:
...
Step-by-step explanation:
(-8xy + 3x²-5y)+(4x²-2y+6xy)
Answer:
-2xy+7x^2-7y
i recommend m a t h w a y :)
Step-by-step explanation:
Answer:
7x^2−2xy−7y
Step-by-step explanation:
First Simplify
(−8x)(y)+3x2−5y+4x2−2y+6xy
=−8xy+3x2+−5y+4x2+−2y+6xy
Then Combine Like Terms:
=−8xy+3x2+−5y+4x2+−2y+6xy
=(3x2+4x2)+(−8xy+6xy)+(−5y+−2y)
=7x2+−2xy+−7y
Help me, I will give brainliest to best answer. No work needs to be explained.
Write three hundreths as a decimal.
Use digits to write each decimal number:
a. one hundred two and three tenths
b. one hundred twenty-five ten-thousandths
c. three hundred and seventy-five thousandths
Answer:
3.00 I think or 30.0 I really don't know but that's what I think
find the quotient
7 ($49.56
A quadratic in factored form is given as (x + 5) (2x - 3) = 0, what are the solutions of this given equation?
X = and x =
Answer:
x = -5, x = 1.5
Step-by-step explanation:
If the two expressions multiplied together is 0, that means that one of the expressions would have to equal 0. This gives us two possible answers. Our two equations are now:
x + 5 = 0
2x - 3 = 0
We will first solve the first one!
To isolate x, we subtract 5 from both sides to get:
x = -5
Onto the second one!
We begin to isolate x by adding 3 to both sides.
2x = 3
Now we divide both sides by 2.
x = 3/2 or 1.5
Answer:
Step-by-step explanation:
Which one is it ? NO LINKS
245
55
180
65
Answer:
245 is the best answer. I am right ta boy
Answer: 245
Step-by-step explanation:
60 + 120 + 65 = 245
will mark brainliest pls help
translations on a coordinate plane
Answer:
check in my page someone will answer it for me
Step-by-step explanation:
then you get your answer
What exponential function represents the data in the table?
x f(x)
2 25
3 125
4 625
f(x) = x4 + 9
f(x) = 4x + 9
f(x) = x5
f(x) = 5x
Answer:
The Fourth one
[tex]f(x) = {5}^{x} [/tex]
Step-by-step explanation:
I hope that is useful for you :)
which sets of three lengths can be used to form a triangle?
A. 7ft, 5ft, 2ft
B. 6ft, 4ft, 8ft
C. 15cm, 18cm
D. 72 in, 10 in, 90 in
E. 6m, 2m, 12m
F. 6 yd, 21 yd, 25yd
Which of the following statements is/are TRUE about diagonals of special parallelograms?
I. The diagonals of a rectangle are congruent.
II. The diagonals of a square are perpendicular and bisect each other.
III. The diagonals of a rhombus are congruent.
IV. The diagonals of a rhombus bisect each other perpendicularly.
Answer:
I, II and IV
Step-by-step explanation:
The diagonals of a rectangle are congruent. The diagonals of a square are perpendicular and bisect each other. The diagonals of a rhombus bisect each other perpendicularly.
QuadrilateralA quadrilateral is a polygon with four sides and four angles. Types of quadrilateral are rectangle, square, rhombus.
The diagonals of a rectangle are congruent. The diagonals of a square are perpendicular and bisect each other. The diagonals of a rhombus bisect each other perpendicularly.
Find out more on Quadrilateral at: https://brainly.com/question/16691874
What’s 6 x 5 * divide* 10? I need answers plz
Answer:
It is 3
Step-by-step explanation:
6*5= 30
30/10= 3
Mark me Brainliest?
Country bank pays a simple interest rate of 4% per year. A student plans to invest 5000. How much money will the student have at the end of 6 years
Answer:
$6200
Step-by-step explanation:
Given data
Rate= 4%
Principal=$5000
Time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=5000(1+0.04*6)
A= 5000(1+0.24)
A=5000*1.24
A=$6200
