Answer:
This is false because any number divided by 0 is undefined.
Kyree had a summer job cutting lawns. He made $32 in June, $45 in July, and $43 in August. In September he spent $17 on school supplies and $26 on clothes. How much money does he have left?
Answer:
77
Step-by-step explanation:
you add the amount he earn which is 32+45+43 which will give you 120 and than you subtract the amount he spend which are 17 and 26, after that you will get 77 as your answer
Answer:
See below.
Step-by-step explanation:
June: $32
July: $45
August: $43
[tex]32+45+43=120[/tex]
Kyree has $120 in total.
School supplies: $17
Clothes: $26
[tex]26 +17=43[/tex]
[tex]120-43=77[/tex]
Kyree has $77 left.
:)
write seven hundred fifteen and one thousand one hundred fifty- three ten-thousandths as a decimal number
Answer:
715.1153
Step-by-step explanation:
write
seven hundred fifteen = 715
and
one thousand one hundred fifty- three = 1,153
ten-thousandths = 1/10,000 = 0.000 1
together = 0.1153
as a decimal number
So when added together
the number is
715.115 3
Answer:
715.1153
Step-by-step explanation:
11) Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: 1. What is the probability all three of the selected homes have a security system? 2. What is the probability none of the three selected homes have a security system? 3. Did you assume the events to be dependent or independent?
Answer:
1) Pr(all three) = 0.064
2) Pr(none) = 0.216
3) Independent event
Step-by-step explanation:
Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)
Where Pr = probability
This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure
Where p = success, q = failure
For n trials,
Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)
Pr (security) = 40% = 0.4
p = 0.4
q = 1-p = 1-0.4 = 0.6
Numbers selected at random = n = 3
See attachment for more details on the workings.
1) Probability all three of the selected homes have a security system = Pr(all three)
Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³
= 0.4×0.4×0.4
Pr(all three) = 0.064
2) Probability none of the three selected homes have a security system
= Pr(none)
Pr(none) = 1 × (0.4)^0 × (0.6)³
= 0.6³ = 0.6×0.6×0.6
Pr(none) = 0.216
3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.
Jessica and Barry squeezed oranges for juice. Jessica squeezed 23 5 cups of juice. Barry made 1 4 cup less than Jessica. Barry estimated that Jessica squeezed about 21 2 cups of juice. Which is the best estimate for the amount of juice Barry made? 2 1/4 cups How much juice did Barry actually make? 2 and three-fifths minus one-fourth = StartFraction 13 over 5 EndFraction minus one-fourth = StartFraction 52 over 20 EndFraction minus StartFraction 5 over 20 EndFraction
Answer:
1. 2 1/4 cups
2. 2 7/20 cups
Answer:
2 1/4 and 2 7/20
Step-by-step explanation:
Claim: Most adults would erase all of their personal information online if they could.
A software firm survey of 453 randomly selected adults showed that 60% of them would erase all of their personal information online if they could. Find the value of the test statistic. (Round to two decimal places as needed.)
Answer:
271.80
Step-by-step explanation:
453 ⇒ 100% x(the missing value) ⇒ 60%using the proprtionality we get
x =[tex]\frac{453*60}{100}[/tex] x = 271.80It takes me 10 minutes to swim 2 laps. How long will it take
me to swim 5 laps?
Answer:
25 minutes
Step-by-step explanation:
10 ÷ 2 = 5
1 lap = 5 minutes
5/1 × 5 = 25
25 minutes
Hope this helped! :)
Answer:
25 minutes
Step-by-step explanation:
Let's set up a proportion using the following setup:
minutes/laps=minutes/laps
It takes 10 minutes to swim 2 laps.
10 minutes / 2 laps = minutes/laps
We don't know how long it will take to swim 5 laps. Therefore, we can say it takes x minutes to swim 5 laps.
10 minutes/ 2 laps= x minutes / 5 laps
10/2= x/5
We want to find out what x is. Therefore, we need to get x by itself.
x is being divided by 5. The inverse of division is multiplication. Multiply both sides by 5.
5*(10/2)=(x/5)*5
5*10/2=x
5*5=x
25=x
It takes 25 minutes to swim 5 laps.
Determine if the coordinate (6, 8) lies on the circle x^2 + y^2 = 100.
Answer:
x² + y² = 100
6² + 8² = 100
36 + 64 = 100
100 = 100
Because this is a true statement, the answer is yes, it does lie on the circle.
The equations of four lines are given. Identfy which lines are parallel. Line 1: y = -9x + 6 Line 2: x + (1/3)y = -6 Line 3: y = -3x - 8 Line 4: y + 7 = (-1/9)(x + 4)
Answer:
line 2 and line 3
Step-by-step explanation:
line1=y=-9x+6. gradient 1= -9
line2=x+⅓y=-6
⅓y=-6-x. gradient2= -3
y=-18-3x
line3=y=-3x-8. gradient3= -3
line4=y+7=-1/9x-4/9
y=-1/9x-4/9-7. gradient4= -1/9
y=-1/9x-7⁴/9
parallel lines have the same gradient
If the common difference of an A.P is d, find a3 – a1
Answer:
2d
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference, thus
a₃ - a₁
= a₁ + 2d - a₁
= 2d
You arrive at a bus stop at 1:00, knowing that the bus will arrive at some time uniformly distributed between 1:00 and 1:30. a) What is the probability that you will have to wait longer than 10 minutes
Answer:
2/3
Step-by-step explanation:
You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30
that is 2 chances of you waiting longer than 10 minute
Solve (x-5)^2 =3.
Help me pls
Answer:
The correct answer is C.
Step-by-step explanation:
I solved by finding for X. Hope this helps!
Answer:
option c is correct.
hope it will help u...
Line segment AB is drawn in the coordinate plane. Carlos graphed the set of points that are the same distance from both point A and point B. What did Carlos graph?
Answer:
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
Step-by-step explanation:
Carlos graphed the set of points that are equidistant from both point A and point B.
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
The points on the number line represent 6.72, 6, and 6.15.
+
6
6.4
6.1
6.5
6.8
6.9
6.2
6.3
6.6
6.7
7
7
Which shows the numbers in order from least to greatest?
O 6.72, 63, 6.15
O 6.72, 6.15, 6-7
O 6.15, 6.72, 65
O 6.15, 67, 6.72
Answer:
C is the right answer for me. But im like 80% sure on that tho. Hope this helps so much! :)
Step-by-step explanation:
A student wants to estimate the mean score of all college students for a particular exam. First use the range rule of thumb to make a rough estimate of the standard deviation of those scores. Possible scores range from 300 to 2200. Use technology and the estimated standard deviation to determine the sample size corresponding to a 90% confidence level and a margin of error of 100 points. What isn't quite right with this exercise? The range. rule of thumb.estimate for the standard deviation. nothing.
Answer:
See explanation below
Step-by-step explanation:
range = 2200 - 300 = 1900
To find standard deviation, we have:
standard deviation = range/4 = [tex] \frac{1900}{4} [/tex] = 475
The range rule of thumb estimate for the standard deviation is 475
Given:
Standard deviation,[tex] \sigma[/tex] = 475
Margin of Error, ME = 100
[tex] \alpha [/tex] = 1 - 0.90 = 0.10
Za/2 = Z0.05 = 1.64
Find sample size, n:
n ≥ [tex] [Z_\alpha_/_2 * (\frac{\sigma}{ME})]^2 [/tex]
n ≥ [tex][1.64 * (\frac{475}{100})]^2[/tex]
n ≥ 60.68
≈ 61
Minimun sample size,n = 61
Please please please someone help me
What is the square root of 100000000?
Answer:
10,000 is the answer to ur question
Answer:
10000
Step-by-step explanation:
√100000000 = 10000
Let f(x)= (2/3)^x
Complete each statement.
A. The domain of f(x) is____.
B. The range of f(x) is_____.
C. The y-intercept of the graph of f(x) is______.
D. The horizontal asymptote of the graph of f(x) is the ( x-axis / y-axis ). (Circle one.)
E. The graph of f(x) is ( increasing / decreasing ) from left to right. (Circle one.)
F. The value of the ( base / coefficient / exponent ) determines whether the graph of an exponential
function is increasing or decreasing from left to right. (Circle one.)
Answer:
A. All real number
B. Positive Real numbers
C. y intercept is 1
D. x axis
E. Decreasing
F. Base
Step-by-step explanation:
Given:
[tex]f(x) = (\frac{2}{3})^x[/tex]
A.
Domain of a function f(x) is the value of 'x' for which it has a defined value.
Here, f(x) can have any real number to be given to x.
So, domain is all real numbers.
B.
Range of a function f(x) is the value of f(x) when we give some value of x as input.
Here, we can not have negative value of f(x) because x is in the exponent.
So, the range is Positive Real numbers.
C.
y intercept of any function f(x) is the value of f(0).
[tex]f(0)=(\frac{2}{3})^0 = 1[/tex]
So, y intercept is 1.
D. Horizontal asymptote is the the line where value of [tex]x \rightarrow \infty[/tex]
x axis is the answer.
E. The graph is decreasing with increasing value of x(from left to right).
Because the base is less than 1.
F. The value of base determines whether the graph will be decreasing or increasing.
If base > 1, the graph will be increasing will increasing value of exponent (x).
Here the base is less than 1 so decreasing graph.
Please refer to the attached graph for better understanding of the given function.
You are given a choice of taking the simple interest on $100,000 invested for 2 years at a rate of 3% or the interest on $100,000 invested for 2 years at an interest rate of 3% compounded quarterly
Which investment as the greater amount of interest? Give the difference between the amounts of interest earned by the two investments
the investment with simple? or compound?
interest earns $___ more in interest.
(Round to the nearest cant as needed.)
Answer:
Step-by-step explanation:
the simple interest formula= principal* interest rate*time
simple interest : 100000*%2*2 years
simple interest= 4000 dollars
compound quarterly : A=principal(1+r/4)^t
since it is quarterly and have 4 quarters in a year, and 8 in two years.
compound quarterly: 100000(1+0.03/4)^8=106159.88
it is better to invest with compound interest because it add 6159 dollars in two years to the investment of 100000 dollars.
the difference between the interest: 6159.88-4000=2159.88
simplify.
I need this answer..
3x + 43 = 4x + 2(4 + 2)
Answer:
x = 31
Step-by-step explanation:
[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]
Answer:
x=31
Step-by-step explanation:
first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.
please help ASAP: Factorise the following:
Answer:
hope u will understand it....
Answer:
Hello!
___________________
A)Factor x^2 - 12x + 32 using the AC method. ( x - 8 ) ( x - 4)
B) Factor x^2 - 14x + 48 using the AC method. ( x - 8) ( x - 6)
C) Factor x^2 - 3x + 2 using the AC method. ( x - 2) ( x - 1)
Step-by-step explanation: Always factor by x^2 while using the AC method.
Hope this helped you! :D
2 Points
Find the solution(s) to the system of equations. Select all that apply.
y = x2 - 2x-3
y = 2x - 3
O A. (0,-3)
B. (-1,0)
C. (3,0)
D. (4,5)
Answer:
A (0,-3) and D(4,5)
Step-by-step explanation:
Given system of equations
y = x2 - 2x-3
y = 2x - 3
Solution to these will be value of x for which value of y in both equation will same.
In graph, solution will point at which curve of both equation intersect each other
To solve this we will equate the two equations
[tex]x^2 - 2x-3 = 2x-3\\ =>x^2 - 2x-3 -2x + 3 = 0\\=> x^2 - 2x - 2x -3 + 3 = 0\\\=> x^2 - 4x = 0\\=>x(x-4) = 0\\Thus\\x = 0 \ or \ x-4 = 0\\x = 0 \ or \ x = 4[/tex]
Thus, value of x is 0 and 4
we will put this value in given set of equation.
y = 2x- 3
taking x = 0
y = 2*0 -3 = 0-3 = -3
one solution is (0,-3)
taking x = 4
y = 2*4 - 3 = 8-3 = 5
Another solution is (4,5).
Though , the problem is solved we will see it this value satisfies other equation or not better understanding
y = x^2 - 2x-3
taking x = 0
y = 0^2 - 2*0-3 = -3
one solution (0,-3)
taking x = 4
y = 4^2 - 2*4-3 = 16-8 -3 = 8-3 = 5
other solution (4,5)
thus, we see both equation gives same set of solution.
I need help with this:What is the value of y? Enter your answer in the box. y =
Answer:
y=5 degrees
Step-by-step explanation:
It is an isosceles triangle so that means that there are two angles that equal 75, so that means the third side with 4y + 10 is equal to 30 degrees.
4y+10=30
4y=20
y=5 degrees
One length of a rectangular garden lies along a patio wall. However, the rest of the garden is enclosed by 32 feet of fencing. If the length of the garden is twice its width, what is the area of the garden?
Answer:
128 square feet
Step-by-step explanation:
Let the perimeter of the rectangular garden be expressed as 2(L+W)
L = length of the garden
W = width of the garden
If the length of the garden is twice its width then L = 2W; W = L/2
P = 2(L+L/2)
Since the perimeter is L + 32 (One length of a rectangular garden that lies along a patio wall and the rest of the garden is enclosed by 32 feet of fencing.)
Substituting in the formula above:
32+L = 2(L+L/2)
32+L = 2L+L
32 = 2L
L = 16 feet
Since L = 2W
W = L/2 = 16/2
Width = 8 feet
Area of the garden = Length × Width
Area of the garden = 16×8
Area of the garden = 128 square feet
The area of the rectangular garden is equal to 128 square feet.
Let the length of the rectangular garden be L.Let the width of the rectangular garden be W.Given the following data:
Perimeter = 32 + L feet.Translating the word problem into an algebraic equation, we have;
The length of the garden is twice its width:
[tex]L=2W[/tex] = [tex]W=\frac{L}{2}[/tex]
The formula for perimeter of a rectangle.Mathematically, the perimeter of a rectangle is given by the formula;
[tex]P=2(L+W)[/tex]
Where:
P is the perimeter of a rectangle.L is the length of a rectangle.W is the width of a rectangle.Substituting the parameters into the formula, we have;
[tex]32+L=2(L+\frac{L}{2})\\\\32+L=2L+L\\\\32+L=3L\\\\3L-L=32\\\\2L=32\\\\L=\frac{32}{2}[/tex]
Length, L = 16 feet.
For the width:
[tex]W=\frac{L}{2}\\\\W=\frac{16}{2}[/tex]
Width, W = 8 feet.
Now, we can calculate the area of the rectangular garden:
[tex]Area = LW\\\\Area = 16 \times 8[/tex]
Area = 128 square feet.
Read more on area of a rectangle here: https://brainly.com/question/25292087
Mark has $9.10 to buy some fruit. He wants to buy six pounds of apples, which are $0.99 a pound and as many pounds of bananas as he can, which are $0.79 a pound. How many pounds of bananas can he buy?
Answer: 4 pounds
Step-by-step explanation:
Mark has $9.10 to buy fruits.
6 pounds of apple at $0.99 will cost $5.94
Balance 9.10 - 5.94 = 3.16
Bananas are $0.79 a pound
For $3.16, he will get
3.16 / 0.79 = 4 pounds of bananas
what is the rate of change between (1,15) (3,45)?
Answer:
15
Step-by-step explanation:
Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:
(y2 - y1)/(x2 - x1)
=> Rate of change of the line passing (1,15) and (3,45):
(45 - 15)/(3 - 1) = 30/2 = 15
MATH HELP ASAP PLSSSS
Answer:
(30,0)
Step-by-step explanation:
y=0
-2/5 *x +12=0
2x/5=12
2x=12*5
2x=60
x=60/2
x=30
Hey there! :)
Answer:
(30, 0).
Step-by-step explanation:
Solve for the x-intercept, or zero of the equation by setting the equation equal to 0:
y = -2/5x + 12 becomes:
0 = -2/5x + 12
Subtract both sides by 12:
-12 = -2/5x
Divide both sides by -2/5:
-12 (-5/2) = -2/5x (-5/2)
30 = x.
Therefore, the x-intercept is at (30, 0).
there are only blue, yellow and green cubes in a bag. there are three times as many blue cubes than yellow cubes and five times as many green cubes then blue cubes. what is the chance that Sarah will get the yellow cube in its simplest form.
Answer: 1/11
Step-by-step explanation:
Let x be no. of yellow cubes.
Blue = 2x
Green = 4 x 2x = 8x
Total cubes = x + 2x + 8x = 11x
P(yellow) = x / 11x = 1/11
What is the equation of a horizontal line that passes
through the point (-4, -5)?
Answer: y=-5
Step-by-step explanation:
A horizontal line appears on the graph if it goes through the y-axis. Knowing this, the coordinate tells us that the y-coordinate is -5. This tells us that the equation of the line is y=-5.
Solve: 1.2n+1=1-n
HELP PLS ASAP WILL GIVE BRAINLIEST IF CORRECT
Answer:
Hello!
~~~~~~~~~~~~~~~~~
1.2n+1=1-n
=
n = 0
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!