Answer:
108 because the full measurements is 180
Step-by-step explanation:
Answer:
54°
Step-by-step explanation:
All angles in triangle add up to 180°.
180° - 72°= 108°
108°/ 2= 54°
The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise all tourism related costs by 10%. Find the coefficient of variation for the cost of a week long vacation in this city after the tax is imposed.
Answer:
The coefficient of variation after the tax is imposed is 0.033
Step-by-step explanation:
Given
[tex]\mu =1000[/tex] --- mean
[tex]\sigma^2 = 1200[/tex] --- variance
[tex]tax = 10\%[/tex]
Required
The coefficient of variation
The coefficient of variation is calculated using:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
After the tax, the new mean is:
[tex]\mu_{new} = \mu * (1 + tax)[/tex]
[tex]\mu_{new} = 1000 * (1 + 10\%)[/tex]
[tex]\mu_{new} = 1100[/tex]
And the new variance is:
[tex]\sigma^2_{new} = \sigma^2 * (1 + tax)[/tex]
[tex]\sigma^2_{new} = 1200 * (1 + 10\%)[/tex]
[tex]\sigma^2_{new} = 1320[/tex]
So, we have:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
[tex]CV = \frac{\sqrt{1320}}{1100}[/tex]
[tex]CV = \frac{36.33}{1100}[/tex]
[tex]CV = 0.033[/tex]
which expression is equvialent to (2x^2+4x-7)(x-3)
The sum of two numbers is 49.one number is 15 more than the other one.find the numbers
Answer:
17 and 32
Step-by-step explanation:
x + (x + 15) = 49
2x + 15 = 49
2x = 34
x = 17
x + 15 = 32
Your checking account is in debt $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?
Answer: 8
Step-by-step explanation
Answer:
$8
Step-by-step explanation:
If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.
[tex]-20-10+38=8[/tex]
pls help oooooooooooooopoo
9514 1404 393
Answer:
140°
Step-by-step explanation:
Angles 1 and 3 are "corresponding" angles, so are congruent.
∠1 = ∠3
20x +60 = 30x +20
40 = 10x . . . . . . . . . . . . subtract 20x+20
4 = x . . . . . . . . . . . . . . divide by 10
∠1 = 20x +60 = 20(4) +60 = 80 +60
∠1 = 140°
Answer:
140°
Step-by-step explanation:
Angle 1 and angle 3 are corresponding angles ;
Corresponding angles are equal ;
Hence,
Angle 1 = Angle 3
20x + 60 = 30x + 20
Collect like terms
20x - 30x = 20 - 60
-10x = - 40
x = 4
Angle 1 is thus :
20x + 60 ; x = 4
20(4) + 60
80 + 60
= 140°
Which of the following is the definition for combination?
Answer:
A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected. For example, suppose we have a set of three letters: A, B, and C. ... Each possible selection would be an example of a combination. The complete list of possible selections would be : AB, AC, and BC.
help! can a big strong màn help me
Step-by-step explanation:
hear is your answer 9 is correct answer
The points (-6, r)
and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.
Answer:
r = -6
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope 3/4
This means that [tex]m = \frac{3}{4}[/tex], and thus:
[tex]y = \frac{3}{4}x + b[/tex]
(6,3)
This means that when [tex]x = 6, y = 3[/tex]. We use this to find b. So
[tex]y = \frac{3}{4}x + b[/tex]
[tex]3 = \frac{3}{4}(6) + b[/tex]
[tex]b = 3 - \frac{18}{4} = \frac{12}{4} - \frac{18}{4} = -\frac{6}{4}[/tex]
So
[tex]y = \frac{3}{4}x - \frac{6}{4} = \frac{3x - 6}{4}[/tex]
(-6, r)
r is y when [tex]x = -6[/tex]. So
[tex]y = \frac{3(-6) - 6}{4} = -6[/tex]
So r = -6.
Solve AABC. Round your answers to the nearest hundredth, if necessary
Answer:
[tex]C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be [tex]180-90-65=25^{\circ}[/tex].
In any triangle, the Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex].
Therefore, we have:
[tex]\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}[/tex]
[tex]\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}[/tex]
There are 15 boys and 12 girls in Rosemary’s class. One of the students is selected at random to be the class monitor. What is the probability the student selected is a girl?
A.
45
B.
59
C.
54
D.
49
Answer:
D.
Step-by-step explanation:
The probability the student selected is a girl will be;
⇒ 0.44
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
There are 15 boys and 12 girls in Rosemary’s class.
One of the students is selected at random to be the class monitor.
Now,
Since, There are 15 boys and 12 girls in Rosemary’s class.
Hence, Number of students = 15 + 12
= 27
So, The probability the student selected is a girl = 12 / 27
= 0.44
Therefore, The probability the student selected is a girl = 0.44
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ2
BRAINLIEST if correct
Answer:
1. You roll two standard number cubes and the sum is 1.
2. You roll a standard cube and get a number less than 2.
3. You draw a black card from a standard deck of playing cards
4. A spinner has 5 equal sections numbered 1 through 5. You spin and land on a number less than or equal to 4.
Step-by-step explanation:
Mark me as brainliest!
cross section, the ratio of the area of the circle to 4 square, the volume of the cylinder equ ea of the square is ap? or 4 2. Cross section 2 o the volume of the prism or (a I the volume of the prism or (4 O I the volume of the prism or 12 o the volume of the prism or (4 h
Answer:
ya
Step-by-step explanation:
Hdisowiejejkwoeooeoe
Answer:
98
Step-by-step explanation:
The absolute value of a number different from 0 is always positive
- * - = +
15 + 83 = 98
Am I supposed to add or divide?
Answer: 11.20
Step-by-step explanation:
Divide. 56.00 ÷ 5 = 11.20 therefore each shirt cost 11.20 Hope that helps!
Answer:
Divide.
Answer : option B
Step-by-step explanation:
Cost Number of shirts
56 5
x 1
[tex]\frac{56}{x} = \frac{5}{1}[/tex]
[tex]5 \times x = 56 \times 1\\\\x = \frac{56}{5} = 11.20[/tex]
The Pythagorean Theorem can be used to find the distance between points (3, 2) and (6, 4). Select all the points that could be the third vertex in the
triangle.
(0,0)
(3,4)
(3,6)
(4.5,3)
(6,2)
(3,4) and (6,2) could be vertices of a right triangle with (6,4) and (3,2)
(0,0) is on the same line as (6,4) and (3,2) so it doesn't even form a triangle, much less a right triangle.
(3,6) forms a scalene isosceles triangle, but not a right triangle It's a 4-sqr13-sqr13 triangle
(4.5,3) also forms an obtuse isosceles triangle, but not a right triangle It's a sqr13 - sqr3.25 - sqr3.25 triangle
2. Evaluate the expression when x = 7 and y = 4 x * y - 4(2)
Answer:
20
Step-by-step explanation
7*4=28
28-4=24
4(2)=8
28-8=20
hope that helped!!
Answer:
y = 8/27
Step-by-step explanation:
given
x = 7
y = 4x*y - 4(2)
y = 4*7*y - 8
y = 28y - 8
8 = 28y - y
8 = 27y
8/27 = y
to prove
y = 4x*y - 4(2)
8/27 = 4*7*y - 8
8/27 = 28*8/27 - 8
8/27 = 224/27 - 8
8/27 = 224 - 27*8/27
8/27 = 8/27
hence it is proved that y is 8/27 .
A.3 1/4
B.1 3/4
C.2 1/4
D.3/3
Answer:
A. 3 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Find the slope of the line through each pair of points.
(4.-4). (14, -13)
Answer:
X2 -X1 / Y2 - Y1
Step-by-step explanation:
14- 4 / (-13) - (-4)
10/-9
The Pentagon's ABCDE & PQRST are similar find the length X of QR
Please help I will give 50 points and give branliest!!!!
Answer:
x = 3.2
Step-by-step explanation:
Since they are similar the ratio of the side lengths must be the same
Using the bottom side and the unknown side from the left figure and the right figure
5 4
----- = --------
4 x
Using cross products
5x = 4*4
5x = 16
Divide by 5
x = 16/5
x =3.2
I need help with this with work asap thank you
Answer:
multiply all sides (5.5 x 6 x 8.5) which results to 261.5 ft squared
Find the measure of the central angle of a regular polygon with 16 sides.
Answer:
Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.
Find Z for the following sequence:
210, 209, 213, 186, 202, Z
Answer:
77
Step-by-step explanation:
as far as I can tell the steps between the given numbers are
-1
+4
-27
+16
1 can be expressed as 1³
4 can be expressed as 2²
27 can be expressed as 3³
16 can be expressed as 4²
my best guess is that next one is minus 5³ = -125
edit: technically the given steps can be expressed as
(-1)³
(-2)²
(-3)³
(-4)²
somewhat nicer pattern there
What is the value of x if x/4+2=15
Help!
Answer:
Step-by-step explanation:
because i don't know if the 2 is with the 4 or not I have calculated both.
x/4 + 2 = 15
<=> x/4 = 13
<=> x = 13.4 = 52
x/(4+2) = 15
<=> x/6 = 15
<=> x = 6.15 = 90
Answer:
52
Step-by-step explanation:
[tex]\frac{x}{4} + 2 = 15[/tex]
The first step is to shift all number values to the right. To do this, subtract 2 from the equation.
This will give
[tex] \frac{x}{4} = 13[/tex]
Now, multiply the equation by 4.
Hence,
[tex]x = 13 \times 4 = 52[/tex]
What is the answer to this
Answer:
A
Step-by-step explanation:
Answer:
[tex]x < - 2[/tex]
Step-by-step explanation:
Hope it is helpful...
Grace swam 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. How many kilometers did she swim in all? Use paper to show your work. Select the correct answer.
Answer: 0.85 km
Step-by-step explanation:
Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.
Add.
0.6+0.25= 0.85 km
Which of the following are the domain and range that represent the inverse of the function f(x), given the mapping diagram of f(x) below? 1 AWN O 2. 4 6 8
Answer:b
Step-by-step explanation:
.
Evaluate the expression below:
7 + (8 • 2)
Answer:
The answer is 23
Step-by-step explanation:
8 · 2=16+7=23
Answer:
23
Step-by-step explanation:
1. Calculate the action in () 8*2 =16
2. Sum 7 + 16 = 23
Which equivalent to (11-9)^3x2
Answer:
11-9=2 then, 2^3=8 , finally 8X2=16
Step-by-step explanation:
remember order of operations
what is 41393415 in kg?
Answer:
41393415 in kg is 1.8776E+07, or about 18775737.2.
Step-by-step explanation:
For this equation, you should divide 41393415 by approximately 2.20462262 to get your answer of 1.8776E+07 or about 18775737.2.
A gene for sweat gland production is found on the X chromosome. If a man who lacks sweat glands marries a woman who has normal sweat glands, what will be the phenotype of their children?A. All of the boys will lack sweat glands.B. All of the girls will lack sweat glands.C. The girls will have sweat glands in some areas, but lack sweat glands in others.D. All of the boys will have sweat glands.E. All the boys will have sweat glands, and the girls will have sweat glands in some areas but not others.
Answer:
Option D, All of the boys will have sweat glands
Step-by-step explanation:
Given -
Gene for sweat gland production is found on the X chromosome
Genotype of man - lacks sweat glands (XY)
Genotype of women - has normal sweat glands (X'X')
X' - sweat glands
X - no sweat glands
This is an X linked recessive trait
If these two mates, then the all males will have sweat glands
X'X' * XY ---> X'X, X'X, X'Y, X'Y
Option D, All of the boys will have sweat glands