Answer:
$14.40
Step-by-step explanation:
my way of doing things:
15/100=0.15=1%of total amount
0.15 x 6=0.9= the 6% which is the tax
0.15 x 10 = 1.5=the coupon
Take the coupon amount $1.50 minus the tax amount $0.90 =$0.60. Because the coupon amount is greater than the tax the 60 cents gets taken away from the original 15 dollars leaving Mr. Longely only having to pay $14.40.
50 students in a class were asked at the beginning of the week what they did at the weekend. 18 read their books, while 28 watched films, and 7 neither read their books nor watched films. How many students both read their books and watched films?
Answer:
so 3 people both read their books and watched films.
Step-by-step explanation:
n(U) = 50
n(A) = 18 ( read books)
n(B) = 28 ( watched films)
n(A U B) with a line at the top = 7
so
Finding n(AUB)
n( A U B) with a line at the top = n(A) + n(B) - n( A n B)
7 = 50-n(A U B)
or, n( A U B) = 50 - 7
so, n(A U B) = 43
Then
n( A U B) = n(A)+n(B)-n(A n B)
43 = 18 + 28 - n( A n B)
or, 43 = 46 - n(A n B)
or, n(A n B) = 46 - 43
so, n(A n B) = 3
Which describes the correlation shown in the scatterplot?
On a graph, points are grouped closely together and increase.
There is a positive correlation in the data set.
There is a negative correlation in the data set.
There is no correlation in the data set.
More points are needed to determine the correlation.
Answer:
More points are needed to determine the correlation.
Answer:
its d
Step-by-step explanation:
;)
Please helppppp!!!!!!!
Answer:
[tex](x-2)^2+(y+2)^2=9[/tex]
Step-by-step explanation:
The general equation for a circle is the following:
[tex](x-a)^2+(y-b)^2=c[/tex]
Where (a, b) is the center of the circle and ([tex]\sqrt{c}[/tex]) is the radius of the circle. In order to shift the function to the right, one has to add to the (a) value; to move it to the left one has to subtract from it. Similarly, to move the function up, one has to add to the (b) value, to move it down, one has to subtract from it. Apply this to the given function:
[tex](x+1)^2+(y-2)^2=9[/tex]
The center of this circle is (-1, 2). The circle is shifted to the right by (3) units, and down by (4). Thus the center is also shifted by these values:
(-1, 2)
Right by (3): (-1 + 3) = 2
Down by (4): (2 - 4) = -2
Substitute back into the function:
[tex](x-(2))^2+(y-(-2))^2=9\\\\(x-2)^2+(y+2)^2=9[/tex]
Which statements describe the data in the bar graph? Check all that apply.
People prefer rock music to any other type of music.
People prefer pop music to any other type of music.
The least favorite genre of music is blues.
The least frequent favorite genre is country.
Four times as many people prefer pop music to blues.
Answer:
People prefer pop music to any other type of music.
The least favorite genre of music is blues.
Four times as many people prefer pop music to blues.
Answer:
People prefer pop music to any other type of music.
The least favorite genre of music is blues.
Four times as many people prefer pop music to blues.
Answer:
B) People prefer pop music to any other type of music.
C) The least favorite genre of music is blues.
E) Four times as many people prefer pop music to blues.
Step-by-step explanation:
edge 2023
PLZ ANSWER QUESTION IN PICTURE
Answer: y = 3x + 6
Step-by-step explanation:
(x-intercept of -2: (-2,0))
(slope = m)
y = mx + b, (-2,0), m = 3
[tex]y=mx+b\\0=3(-2)+b\\0=-6+b\\b=6\\y=3x+6[/tex]
A line passes through (-6,-5) and has the slope of 2/3
HELPPPP PLEASE!!
Answer:
y = 2/3x-1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +b
Using the point (-6,-5)
-5 = 2/3(-6)+b
-5 = -4 +b
Add 4 to each side
-5+4 = b
-1 =b
y = 2/3x-1
Answer:
[tex] y = \frac{2}{3}x - 1 [/tex]
Step-by-step explanation:
[tex]y = mx + c \\ \\ m = slope \\ c = y \: \: intercrept[/tex]
[tex]m = \frac{2}{3} [/tex]
[tex]y = mx + c \\ - 5 = \frac{2}{3} \times - 6 + c \\ - 5 = \frac{ - 12}{3} + c \\ - 5 = - 4 + c \\ - 5 + 4 = c \\ - 1 = c[/tex]
So, the equation of the line is,
[tex]y = mx + c \\ y = \frac{2}{3}x - 1 [/tex]
find the area of the regular polygon
Answer:
A = 374.123 ft^2
Step-by-step explanation:
First, lets calculate the perimeter:
Perimeter (p) = side length (s) * number of sides (n)
[tex]p = s * n[/tex]
[tex]p = 12 * 6[/tex]
[tex]p = 72[/tex]
Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.
Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )
[tex]a = \frac{s}{2 * tan (\frac{180}{n} )}[/tex]
[tex]a = \frac{12}{2 * tan (\frac{180}{6} )}[/tex]
[tex]a = \frac{12}{2 * \frac{\sqrt{3} }{3}}[/tex]
[tex]a = \frac{12}{\frac{2\sqrt{3} }{3}}[/tex]
[tex]a = \frac{12*3}{2\sqrt{3}}[/tex]
[tex]a = \frac{6*3}{\sqrt{3}}[/tex]
[tex]a = \frac{18}{\sqrt{3}}[/tex]
Now, finally, to find the area of a regular polygon, we use the following equation:
Area (A) = ( apothem (a) * perimeter (p) ) / 2
[tex]A = \frac{a * p}{2}[/tex]
[tex]A = \frac{\frac{18}{\sqrt{3} } * 72}{2}[/tex]
[tex]A = \frac{18}{\sqrt{3}} * 36[/tex]
[tex]A = \frac{640}{\sqrt{3}}[/tex]
Turning into a decimal:
[tex]A = 374.123 ft ^2[/tex]
Find the missing segment in the image below
Answer:
4
Step-by-step explanation:
First, we can take two triangles -- one with 2 as a side and the big one. Literally every side of the triangle with the 2 in it is parallel to its corresponding side the big triangle. Therefore, we can say that the two triangles are similar.
In similar triangles, we can say that the ratios of corresponding sides are the same. Let's say that the bottom side of the big triangle is x, and the question mark is y. Therefore, the hypotenuse of the big triangle is 6+y. Furthermore, the ratio of corresponding sides ((6+y)/y and x/2) are equal, so
(6+y)/y = x/2
Since x is clearly made up of 3 and 2, we can say 3+2=x=5
(6+y)/y = 5/2
multiply both sides by y to remove a denominator
6+y = 5*y/2
multiply both sides by 2 to remove the other denominator
12+2y = 5*y
subtract both sides by 2y to isolate the y and its coefficient
12 = 3y
divide both sides by 3 to isolate the y
y=4
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find. (F o G) (-5)
26
3
–59
–6
Answer:
-59
Step-by-step explanation:
f(x) = -2x - 7 and g(x) = -4x + 6.
f(g(x)) =
Replace x in the function f(x) with g(x)
= -2(-4x+6) -7
= 8x -12 -7
= 8x - 19
Let x = -5
f(g(-5) = 8(-5) -19
= -40 -19
= -59
How many ways are there to rearrange the letters of the word: COMBINATION?
Answer: 4,989,600 different ways
Step-by-step explanation:
Giúp mình bài này với ạ
(−x3+26x2−7x−13)+(6x4−x3+8x+27)
Express the answer in standard form.
Enter your answer in the box.
Answer:
6x^4−2x^3+26x^2+x+14
Step-by-step explanation:
−x^3+26x^2−7x−13+6x^4−x^3+8x+27
= 6x^4−x^3−x^3+26x^2−7x+8x−13+27
= 6x^4−2x^3+26x^2+x+14
Answer:
Step-by-step explanation:
= -x3+ 26x2- 7x-13+6x4-x3+8x+27
=6x4-2x3+26x2+x+14
Assuming boys and girls are equally likely, find the probability of a couple having a baby boy when their third child is born, given that the first two children were both boys
The required probability of a couple having a baby boy when their third child is born is 1/2.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
Assuming boys and girls are equally likely.
The first two children were both boys
According to given question we have
The probability of having a baby girl is an independent probability.
The first two children were both boys
So, it is not related to the previous child.
So required probability = 1/2
Therefore, the required probability of a couple having a baby boy when their third child is born is 1/2.
Learn more details about probability here:
https://brainly.com/question/11234923
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A triangle. A ABC, has angle measures of 82*, 75, and 23' and no sides equal (congruent) in length. How would this triangle be
classified?
Equilateral right
Isosceles obtuse
O Scalene acute
Isosceles acute
The triangle given is a scalene acute triangle
Classification of TriangleA triangle can be classified based on the measures of its angles and the lengths of its sides.
In this case, the angle measures of the triangle are 82, 75, and 23 degrees. Since the sum of the angles in a triangle is always 180 degrees, we can verify that these angles satisfy this condition: 82 + 75 + 23 = 180.
The triangle is not an equilateral triangle because all the sides are not of equal length.
The triangle also doesn't have one right angle so it can't be right triangle.
Now, as per the angle measures, none of the angles are right angles, but one angle is greater than 90 degree, so this triangle is not acute triangle.
So, this triangle is not an Obtuse triangle since it has no angle greater than 90 degrees.
As the triangle has no sides of equal length, it is also a Scalene triangle.
Therefore, the triangle would be classified as a Scalene acute triangle (c).
Learn more on classification of triangle here;
https://brainly.com/question/9497404
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Which of the following equations represents a linear function?
Question 8 options:
y =6x
x3 – y = –2
2x – 4y = 6
y =4x−−√
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. y p(x, y) 0 1 2 x 0 0.10 0.03 0.02 1 0.06 0.20 0.07 2 0.05 0.14 0.33 (a) What is P(X
Answer:
[tex]P(x = 1) = 0.33[/tex]
[tex]P(y = 2) = 0.42[/tex]
Step-by-step explanation:
Given
y
x [tex]\begin{array}{cccc}P(x,y) & {0} & {1} & {2} & {0} & {0.10} & {0.03} & {0.02} & {1} & {0.06} & {0.20} & {0.07} & {2} & {0.05} & {0.14} & {0.33}\ \end{array}[/tex]
Solving (a)
[tex]P(x = 1)[/tex]
To do this, we simply add all data where x = 1
So, we have:
[tex]P(x = 1) = P(x=1|y=0) + P(x=1|y=1) + P(x=1|y=2)[/tex]
[tex]P(x = 1) = 0.06 + 0.20 + 0.07[/tex]
[tex]P(x = 1) = 0.33[/tex]
Solving (b)
[tex]P(y = 2)[/tex]
To do this, we simply add all data where y = 2
So, we have:
[tex]P(y = 2) = P(x=0|y=2) + P(x=1|y=2) + P(x=2|y=2)[/tex]
[tex]P(y = 2) = 0.02 + 0.07 + 0.33[/tex]
[tex]P(y = 2) = 0.42[/tex]
Let S be a sample of size 31 from a normally distributed population Omega . It is given that the average of the data in S is 120 and the standard deviation is 18. Construct a 90% confidence interval [a, b] for the population mean based on the data in the sample.
Answer:
48 NO seña hfjxsmisns sisbxbd
Step-by-step explanation:
nzhejsbxbddndbhwksdyanvxydjd4mnnneknwnennnnnnIt takes Jacob and Hannah a hours to do
a certain job, it takes Jacob and Ethan b
hours to do the same job and it takes
Hannah and Ethan c hours to do the
same job. How long would it take Jacob,
Hannah and Ethan to do the same job if
all of them worked together?
Step-by-step explanation:
Kym teaches sixth grade students in an urban school where most of the families in the community live below the poverty line. Each year the majority of the students in her school fail the statewide tests. Kym follows school district teaching guides and typically uses direct instruction in her Language Arts and Social Studies classes. The classroom assessments are designed to mirror those on the statewide tests so the students become familiar with the assessment format.
What is the remainder when (2x^3 + 4x^2 – 32x + 18) = (x + 3)?
Answer:
X= -5.3 & Y= -2.34
X= 0.49 & Y= 3.49
X= 2.85 & Y=5.85
Step-by-step explanation:
To find the intersection you would need to graph it and locate where both lines will intersect.
Can someone please do #3?❤️
Answer:
B, because it goes up by 8 until the last of because the jump from 24 to 30 is 6
Can someone do these please? ❤️
Answer:
-49
8
Step-by-step explanation:
-196/4 =
-49
(3+u)^2
-------------
8
Let u=5
(3+5)^2
-------------
8
(8)^2
-------------
8
64
-----
8
8
I need help completing this problem ASAP
Answer:
8 sqrt(5)
Step-by-step explanation:
sqrt(45) + sqrt(125)
Rewriting
sqrt(9*5) + sqrt( 25 *5)
we know sqrt(ab) = sqrt(a) sqrt(b)
sqrt(9) sqrt(5) + sqrt(25) sqrt(5)
3 sqrt(5)+5 sqrt(5)
Add like terms
8 sqrt(5)
Answer:
A. [tex] 8\sqrt{5} [/tex]
Step-by-step explanation:
[tex] \sqrt{45} + \sqrt{125} = [/tex]
[tex] = \sqrt{9 \times 5} + \sqrt{25 \times 5} [/tex]
[tex] = 3\sqrt{5} + 5\sqrt{5} [/tex]
[tex] = 8\sqrt{5} [/tex]
the ratio of sadia's age to her father's age is 3:6. The sum of their age is 96 .What is sadia's age?
Answer:
sadia is 32
Step-by-step explanation:
sadia : father : total
3 6 9
Divide 96 by 9
96/9 = 32/3
Multiply each by 32/3
sadia : father : total
3*32/3 6*32/3 9*32/3
32 64 96
2^17+2^14 chia hết cho 9
Answer:
ABC
Step-by-step explanation:
= 2^14.2^3 + 2^14
= 2^14. (2^3 +1)
= 2^14 . 9
Vì 2^14.9 chia hết cho 9 nên 2^17 + 2^14 chia hết cho 9
(. là dấu nhân)
Answer:
đúng
Step-by-step explanation:
Move the numbers to the lines to order them from least to greatest.
least
greatest
67.98
68.6
68.11
Please answer ASAP
Answer:
67.98,68.11, 68.6
PLZ HELP QUESTION IN PICTURE
Answer: [tex]-\frac{9}{2}, -4, -3, -\frac{11}{4}, -2[/tex]
Step-by-step explanation:
slope = m
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-9}{-1-(-5)}=-4[/tex]
y = mx + b, (-5,9), (-1,-7), m = -4; (does not matter which point you plug in)
[tex]y=mx+b\\9=-4(-5)+b\\9=20+b\\b=-11\\y=-4x-11[/tex]
(now plug in each y value into the equation above)
[tex]7=-4x-11\\18=-4x\\x=-\frac{9}{2}\\\\5=-4x-11\\16=-4x\\x=-4\\\\1=-4x-11\\12=-4x\\x=-3\\\\0=-4x-11\\11=-4x\\x=-\frac{11}{4} \\\\-3=-4x-11\\8=-4x\\x=-2[/tex]
180 °
35 °
X °
X = ? °
Answer:
x=145°
Step-by-step explanation:
180 = 35 + x
x = 180-35
x= 145°
Please help explanation if possible
Answer:
140-5x
Step-by-step explanation:
x would be the number of minutes
for eg, after 1 min, the temperature of the steak would be 140-5(1) = 135
not sure how to explain this, but its basically the start temperature - change
Find perpendicular,hypotenuse and base
Step-by-step explanation:
In right angled triangle ABC,
Taking alpha as reference angle,
By pythagoras theorem,
p=BC,h=AB,b=AC
Taking thita as reference angle,
p=AC,h=AB,b=BC
Keep smiling and hope u are satisfied with my answer.Have a good day :)
What Is The Pythagorean Theorem?. ^ Means to the power of...
Answer:
I wish I knew that answer
Step-by-step explanation:
