Answer:
The correct option is;
(E) P(full time) × P(credit card debt over $5,000)
Step-by-step explanation:
The given parameters are;
The mode of employment of a person = Full time
The amount of debt in the credit card = More than $5,000
The probability that a person works full time = P(full time)
The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)
Therefore, the probability that someone who works full time has more than $5,000 in credit card debt = P(full time) × P(credit card debt over $5,000)
Help me solve this please
Answer:
180 - 90 - 41 = 49
Step-by-step explanation:
Have a great day :)
Answer: 49
Step-by-step explanation:
90 + 41 + G = 180
131 + G = 180
G = 49
An architect designs two similar triangular patios. The first patio has angle measures of (x + 10)°, (y + 15)°, and 70°. The second patio has angle measures of (x + 20)°, 50°, and 60°. Find the values of x and y.
Given:
An architect designs two similar triangular patios.
The first patio has angle measures of (x + 10)°, (y + 15)°, and 70°.
The second patio has angle measures of (x + 20)°, 50°, and 60°.
To find:
The values of x and y.
Solution:
We know that, corresponding angles of similar triangles are equal. So, the value of (x + 20)° must be 70°.
[tex]x+20=70[/tex]
[tex]x=70-20[/tex]
[tex]x=50[/tex]
The value of x is 50.
Now,
[tex](x+10)^\circ=(50+10)^\circ[/tex]
[tex](x+10)^\circ=(60)^\circ[/tex]
So, remaining angles must be equal, i.e., (y + 15)° and 50° are equal.
[tex]y+15=50[/tex]
[tex]y=50-15[/tex]
[tex]y=35[/tex]
Therefore, the values of x and y are 50 and 35 respectively.
The values of x and y are 50 and 35 respectively.
The corresponding angles of similar triangles are equal. Therefore,
The first patio angles are:
x + 10
y + 15
70°
The second patio angles are ;
x + 20
50°
60°
Therefore,
x + 20 = 70
x = 70 - 20
x = 50
y + 15 = 50
y = 50 - 15
y = 35
read more: https://brainly.com/question/19297980?referrer=searchResults
can you guys help me please ?
Answer:
4x + 12 = -4
4x = -16
x = -4
Step-by-step explanation:
Have a great day :)
Katie is making chocolate candies for her classmates' Valentine's Day gifts. She melts 12.8 ounces of chocolate and divides it among 40 candy molds. If Katie divided the melted chocolate evenly, how much would each candy weigh?
Answer:
0.32 ounces of chocolate per mold
Step-by-step explanation:
Donald Duck has the option of being paid biweekly or weekly? He chooses
weekly because he tells you, more paychecks means more money. What
would you tell him?
A. Donald you are wrong. You get more money if you get paid biweekly, the checks are
double
B. not enough information
C. Donald you are wrong. Its the same amount of money in a year.
D. Donald you are right. I am changing to weekly paychekcs.
Answer:
b
Step-by-step explanation:
doesn't tell the amount of money each check he gets
Answer:
answer is C
C. Donald you are wrong it's the same amount of money in a year
Dr. Cohn is testing how long it takes for a person's body to process a new medicine. She observes that the medicine is used by the body at a constant rate. For her latest test, Dr. Cohn starts with 15 milligrams of the medicine and notes that 12.6 milligrams remain unused after 1 hour. Which equation could Dr. Cohn use to solve for p, the percentage of the medicine that is used in 1 hour? A. p100=12.615 B. p100=2.415 C. p15=1002.4 D. p15=10012.6
Answer:
the options were not copied correctly, option B could be correct but it is missing the division signs:
B. p / 100 = 2.4 / 15
the percentage of medicine used in 1 hour:
p / 100 = (15 - 12.6) / 15 = 2.4 / 15
p / 100 = 0.16
p = 0.16 x 100 = 16%
another option could be C but it would be missing the multiplication signs:
C. p x 15 = 100 x 2.4
p x 15 = 240
p = 240 / 15 = 16%
Which correctly explains how to estimate 55 percent of 64? A. Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as 1/4 so 1/4 of 60 is 15 B. Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as 1/3 so 1/3 of 70 is 23.3 C. Round 55 percent to 50 percent and 64 and 70. Think of 50 percent as 1/5 so 1/5 of 60 is 12 or D. Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30
Answer: Choice D
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30.
===================================================
Explanation:
There are many ways to estimate, but this is probably the easiest since 1/2 = 0.50 = 50%, and taking half of something is fairly straightforward and quick.
Taking half of 60 is like taking half of 6, except we stick at 0 at the end.
Half of 6 is 3
Half of 60 is 30
The estimate of 55% of 64 is 30
The actual value is
55% of 64 = 0.55*64 = 35.2
which isn't too far off.
-------------------------
Extra info:
Choice A is false because 40% is not equal to 1/4. Instead 1/4 = 0.25 = 25%Choice B is false because 1/3 = 0.333 = 33.3% approximately, so 1/3 is not equal to 60%Choice C is false because 1/5 = 0.20 = 20% and not 50%Can someone please help?
What property goes on the right side?
example: addition, subtraction, etc.
Answer:
3. definiton of angle bisector
4. substitution property (of equality)
5. 2x+14=34
5. subtraction property of equality
6. 2x = 20
6. subtraction property of equality
Oceanside Bike Rental Shop charges 12 dollars plus 6 dollars an hour for renting a bike. Write an expression for the cost of renting bikes for x hours.
Answer:
[tex]y = 12 + 6x[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = 12[/tex]
[tex]Additional = 6[/tex] per hour
Required
Determine the expression for the cost in x hours
Represent the cost with y
y is calculated using the following expression
[tex]y = Base\ Amount + Additional * x[/tex]
Where x represent the number of hours.
Substitute values for the base amount of bike and the additional cost per hour
[tex]y = 12 + 6 * x[/tex]
[tex]y = 12 + 6x[/tex]
So, the expression to determine the cost of bike in x hours is: [tex]y = 12 + 6x[/tex]
Draw the image of ABC under a translation by 2 units down.
I need help please !!!
Answer:
Please find attached drawing created with Microsoft word, that shows the image of of the triangle ΔABC. with coordinates of the vertices as, A(2, -4), B(0, -5), and C(6, 2), translated down 2 units to give the triangle ΔA prime B prime C prime , with coordinates of the vertices as A prime (2, -6), B prime (0, -7), and C prime (6, 0)
Step-by-step explanation:
Answer:
Here u go
Step-by-step explanation:
Because yeah
FOR A TEST PLS HELP!
A circle has a circumference of 21.98m. What is the diameter?
What is the product of 35 and 434?
A. 21720
B. 3320
C. 4310
D. 515
Answer:
none of the answer choices are correct.
CORRECT ANSWER: 15,190
Answer:
The actual product is 15,190
Step-by-step explanation:
BRAINLY PLS I NEED HELP WITH THE RIGHT ANSWER APS !HELP!!
Answer:
The measurement of angle 3 is 45.
Step-by-step explanation:
It said line q is perpendicular. Then line m bisects that 90 degree angle and 90/2=45. Does this help?
A weather station on the top of a mountain reports that the temperature is currently and has
been falling at a constant rate of per hour. Find each temperature. Explain or show your
reasoning.
What was the temperature?
D. An hour ago?
E. 3 hours ago?
F. 4.5 hours ago?
Answer:
1 hour ago-0*C3
hours ago-(-3*C)
4.5 hours ago- (-9*C
-22 + 36
adding and subtracting integers
plz help me
Answer:
14
Step-by-step explanation:
Meredith deposits $1,400 into an account that earns 3% annual simple interest. How many years will it take Meredth to earn $294 in simple interest on the account?
Answer:
21 years
Step-by-step explanation:
Michelle has a balance of $950 in a savings account that pays 3% interest compounded annually. If Michelle makes no deposits or withdrawals, how much money will be in her savings account after 2 years?
Answer:
She will save by borrowing from Bank B.
Step-by-step explanation:
Michelle needs to calculate the interest for the length of each loan. Bank A will charge $2430 in interest and Bank B will charge $1980 in interest. She will save by borrowing from Bank B.
Sample answer on edge ;)
5x+x=-18
solve for x
Answer:
x=-3
Step-by-step explanation:
5x+x=-18 Combine like terms.
6x=-18 Divide by 6 on both sides.
/6 /6
x=-3
Hope this helps...have an amazing day Σ(っ °w °;)っ
Can someone help me solve for y. Please make sure to explain how you got that answer. THANKS<3
Answer:
7. y=42
8. y=58
If we could call on discord, zoom or anything like that i could easily explain. To type out the whole process would take all night
Step-by-step explanation:
Answer:
7. 42 degrees
8. 58 degrees
Step-by-step explanation:
Question 7
The three angles on the bottom line add up to 180.
65 + 31 + 2y = 180
2y = 84
So y = 42
Question 8
Let's start with the triangle with the 27 degree angle.
We have 27 + 90 + z = 180 (z is the top right angle)
z = 63 (which is also the bottom left angle of the triangle with the 32 degree angle).
63 + 32 + x = 180
x = 85 degrees
Now we look at the bottom polygon with the y degree angle we're trying to find.
We have one angle opposite x and another opposite z.
The angle opposite x + x = 180
The angle opposite x + 85 = 180
The angle opposite x = 95
The angle opposite z + z = 180
The angle opposite z + 63 = 180
The angle opposite z = 117
The sum of the interior angles of a polygon equals the number of sides less 2 * 180. We have four sides, so the interior angles add up to 360.
90 + 95 + 117 + y = 360
Therefore y = 58 degrees
1000 branilys Determine the coordinates of the point shown.
A coordinate grid shown. There are increments of 0.5 for each grid line on each of the two axes. A point is located at 3 grid lines to the right and 1 grid line down from the origin.
(1.5, −0.5)
(−0.5, 1.5)
(3, −1)
(1, −1)
Answer:
Its A ( 1.05, -0.5)
Step-by-step explanation:
Factor the GCF: −14y2 + 12y − 22
Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).
Step-by-step explanation:
Solve the equation for all real solutions 4z^2-8z+5=2
Answer:
z=1/2 and z=3/2
Step-by-step explanation:
Draw a circle of radius 4cm construct a pair of tangents to it the angle between which is 60°
Step-by-step explanation:
i hope its image help youWhere is the Y- intercept at
Answer:
(0, -2)
Step-by-step explanation:
The y-intercept is where the graph crosses through the y axis, when x is equal to 0. On this graph, the line goes through the y-axis at -2. At -2, we can also see that x=0
In general, the y-axis of a graph will always be (0, y).
Which equation represents the horizontal line passing through (9,-7)?
O y = 9
O x = -7
O x = 9
O y = -7
Answer:
y = -7
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptHorizontal lines have a slope of 0.
Step-by-step explanation:
Step 1: Identify
Point (9, -7)
Horizontal line
We know that a horizontal line will always have the same y values.
Step 2: Write equation
y = -7
Question 19
The smallest number by which 45 should be multiplied so as to get a perfect square is
(1 Point)
3
05
O 7
O2
Answer:
45 * x = 49
x = 49 / 45 = 1.0888888888888...
Step-by-step explanation:
Order the 9 ( yes 9 including Pluto )planets from smallest to biggest according to volume
Answer:
Pluto has a density of 1.86 grams per cubic centimeter
Mercury has a mass of 3375.9 kilograms
Mars has a volume of 1.6318 x 10¹¹ km³
The volume of Venus is 9.38 x 1011 km3
The Earth has a volume of about 1,083,206,916,846 cubic kilometers
volume of 15 trillion cubic miles which is 62 trillion cubic kilometers
The planet has a volume of 6.83x1013 cubic kilometers
The volume of Saturn is about 8.27 x 10 cubic kilometers.
The volume of Jupiter is 1,431,281,810,739,360 cubic kilometers
hope this helps and feel free to give brainiest
Nathaly is twice as old as her little sister. The sum of their ages is 24. Letting
the age of Nathaly's little sister be N, write an equation for the problem and
then solve it. Then state how old Nathaly and her little sister are.
Answer:
AN equation would be N=x•2x
Nathaly would be 16 and her little sister would be 8
May I have brainliest please? :)
Stanley is running a 5 mile race. He runs 1 mile every 6 minutes. Stanley's distance from the finish line after x minutes is represented by the function x+6y=30
Answer:
Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.
Step-by-step explanation:
Hi. I need help with these questions.
See image for question.
Answer 23 , 24,25,26
Answer:
23) 4x² - 8k²x + k⁴ = 024) (i) 2, (ii) 725) (i) 11/8, (ii) -81/826) (a³ + b³ + c³ + 3abc)/a³Step-by-step explanation:
23..............................
GivenEquation 2x(x - k) = k² with the roots α and βTo findThe equation with roots α² and β²Solution2x(x - k) = k²2x² - 2kx - k² = 0The sum and the product of the roots
α + β = - (-2k)/2 = kαβ = - k²/2The equation with roots α² and β² is:
(x - α²)(x - β²) = 0x² - (α² + β²)x + α²β²= 0x² - ((α + β)² - 2αβ)x + (αβ)² = 0x² - (k² - 2( -k²/2))x + (- k²/2)² = 0x² - (k² + k²)x + k⁴/4 = 04x² - 8k²x + k⁴ = 024..............................
GivenEquation 3x² - 9x + 2 = 0 with the roots α and βTo findThe values of
αβ² + α²βα² - αβ + β² SolutionThe sum and the product of the roots
α + β = - (-9)/3 = 3αβ = 2/3(i)
αβ² + α²β =αβ(α + β) =2/3(3) =2(ii)
α² - αβ + β² = α² + 2αβ + β² - 3αβ =(α + β)² - 3αβ =3² - 3(2/3) =9 - 2 =725..............................
GivenEquation 2x² + 9x + 12 = 0 with the roots α and βTo find(a) show that the quadratic equation whose roots are (α - 1/α) and (β - 1/β) is 24x² + 90x + 115 = 0The values of
(i) αβ (1/α² + 1/β²)(ii) α³ + β³SolutionThe sum and the product of the roots
α + β = - 9/2αβ = 12/2 = 6a) The quadratic equation whose roots are (α - 1/α) and (β - 1/β) is:
(x - (α - 1/α))(x - (β - 1/β)) = 0x² - (α - 1/α + β - 1/β)x + (α - 1/α)(β - 1/β) = 0x² - ((α + β) - (α + β)/αβ)x + αβ + 1/(αβ) - (α/β + β/α) = 0x² - ((α + β) - (α + β)/αβ)x + αβ + 1/(αβ) - ((α+β)² - 2αβ)/(αβ)= 0x² - (-9/2 - (-9/2)/6)x + 6 + 1/6 - ((-9/2)² - 2(6))/6 = 0x² - ( -9/2 + 3/4)x + 37/6 - (81/4 - 12)/6 = 0x² + 15/4x + 37/6 - 33/24 = 0x² + 90/24x + 148/24 - 33/24 = 024x² + 90x + 115 = 0Proven(i)
αβ (1/α² + 1/β²) =αβ(α² + β²)/(α²β²) =((α + β)² -2αβ)/(αβ) =((-9/2)² - 2(6))/6 =(81/4 - 12)/6 =81/24 - 2 =33/24 =11/8(ii)
α³ + β³ =(α + β)(α² - αβ + β²) = (α + β)(α² + 2αβ + β² - 3αβ) =(α + β)((α + β)² - 3αβ) =(-9/2)((-9/2)² - 3(6)) =-9/2(81/4 - 18) =-9/2(9/4) =-81/826..............................
GivenEquation ax² + bx + c = 0 with the roots α and βTo findExpress (1 - α³)(1 - β³) in terms of a, b and cSolutionThe sum and the product of the roots
α + β = - b/aαβ = c/aThe expression is evaluated as follows:
(1 - α³)(1 - β³) = 1 - (α³ + β³) + α³β³ =1 - (α + β)((α + β)² - 3αβ) + (αβ)³ =1 - (-b/a)((-b/a)² - 3c/a) + (c/a)³ =1 + (b/a)³ + 3bc/a² + c³/a³ =1 + (b³ + c³ + 3abc)/a³ =(a³ + b³ + c³ + 3abc)/a³