Answer:
No it's not unusual
Step-by-step explanation:
That's an unusual definition for unusual if you don't mind me saying so.
There are 4 sixes in a standard deck of cards without the jokers. There are 52 cards in that deck
4/52 = 0.077
This is greater than 0.05 so it is not unusual.
Let's add the 2 jokers and see what happens.
4/54 = 0.074
That's still not going to get the situation defined as unusual.
(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to
55.5 cents from 51 cents.
Answer:
[tex]\%Change = 8.8\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 51\ cents[/tex]
[tex]Final = 55.5\ cents[/tex]
Required
Determine the percentage change
Percentage change is calculated as;
[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]
[tex]\%Change = \frac{55.5 - 51 }{51 } * 100\%[/tex]
[tex]\%Change = \frac{4.5}{51} * 100\%[/tex]
[tex]\%Change = \frac{4.5* 100\%}{51}[/tex]
[tex]\%Change = \frac{450\%}{51}[/tex]
[tex]\%Change = 8.8\%[/tex]
Hence, the percentage change is approximately 8.8%
George buys a computer. He pays a deposit of £200 and six monthly instalments of £55.
How much George pay for his computer in total?
Answer:
£530
Step-by-step explanation:
Answer:
£530
I hope this helps!
A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
Answer:
No
Step-by-step explanation:
Using the given lengths if we say this is a right triangle then 8 would be length of hypotenuse
From the Pythagorean theorem
8^2 = 5^2 + 7^2
64 = 25 + 49
64 = 74 is not a correct equation so the triangle is not a right triangle for the given lengths
If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed
Answer:
17.6 minutes
Step-by-step explanation:
[tex]\frac{4}{5} = \frac{x}{22}[/tex]
[tex]5x=22[/tex]
[tex]x=\frac{22}{5}[/tex]
[tex]4(\frac{22}{5} ) = \frac{88}{5} = 17.6[/tex]
12.
Name the coefficients in the expression 4x + 9- y.
9
O
4,9,0
0
4, -1
OR
Answer:
4, 9, and -1
Step-by-step explanation:
Please give me brainliest
Answer:
4x+9-y
The 4 is your coefficient. X and Y are your variables and 9 is your constant.
X^3-4x^2+3x+2=0 find all the real values of x
Step-by-step explanation:
The factor of the polynomial is (x-2)
We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor
We therefore equate
x³-4x²+3x+2=(x-2)(ax²+bx+c)+r
x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r
We group terms on the RHS
x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r
By equating the terms on both sides,
ax³=x³,a=1
Next,
b-2a=-4
b-2(1)=-4
b-2=-4
b=-4+2
b=-2
Next,
c-2b=3
c-2(-2)=3
c+4=3
c=-1
Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1
We now find the zeros of x²-2x-1
which are 1+√2 and 1-√2
The values of x are therefore 2,1+√2, and 1-√2
Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)
Answer:
2, 1 +/- sqrt2
or 2, 2.414, -0.414 (correct to the nearest thousandth).
Step-by-step explanation:
Let x = 2: then
f(2) = 8 - 16 + 6 + 2 = 0
So x = 2 is one of the zeros.
So one factor of the function is x-2.
If we divide the function by (x - 2) we get:
x-2)X^3-4x^2+3x+2(x^2-2x-1
x^3- 2x^2
-2x^2+3x
-2x^2+4x
-x+2
-x+2
.......
So x^2-2x-1= 0
x = [-(-2 +/- sqrt(4 - 4*-1)] / 2
x = (2 +/- sqrt8) / 2
= 1 +/-sqrt8/2
= 1 +/- sqrt2
Simplify fully 56:16
Answer:
7/2
Step-by-step explanation:
A bakery bakes 68 batches of 56 cupcakes each week. How many individual cupcakes do they make each week?
Answer:
3808
Step-by-step explanation:
Every year, the value of a property in singapore appreciates by 15% of its value in the previous year. If the value of the property was $899300 in 2012, find ite value in 2010.
Answer:
629 510$
Step-by-step explanation:
$899300 - (30% of $899300)
cuz its two years away from 2010 so it will have gone up 30 % so to rewind time, just go back 30%
Answer:
649744.25
Step-by-step explanation:
899300-15%-15%=649744.25
what is special about the y coordinate that goes with the x coordinate of 1 on a proportional graph
Answer and Step-by-step explanation:
There is a two-dimensional numbers line in a coordinate plane, which has a horizontal line x-axis, and the vertical line is known as the y-axis. These lines intersect each other at zero points, and they are perpendicular. Zero points are known as the origin. The axes divide the plane into quadrants.
A point in the coordinate plane is of the form of (x, y). This point is named as ordered pair; the first number is from the x coordinate, and the second number from the y coordinate.
To make a graph, we draw a dot, starting from the origin, at the coordinate that communicates to the ordered pair. The y coordinates describe how many steps to move up or down ( positive or negative), and x coordinates tell us to move right or left ( positive or negative).
The completeness property for points describes:
Exactly one point in the plane given the number of ordered pair
And
Exactly one ordered pair of numbers at a given point in the plane.
A relation is ordered pairs; the x coordinates are known as domain, and the y coordinate is known as the range.
The domain contains the value that corresponds to the independent variable and the range equal to the dependent variable.
9) Solve: a^2+ b^2= c^2 for b
Answer:
b = ±√(c² - a²)Step-by-step explanation:
Given equation
a²+ b²= c²Solving for b:
b² = c² - a²√b² = √(c² - a²)b = ±√(c² - a²)Answer:
b = ±√(c² - a²)
Step-by-step explanation:
We have to get the value of B.
Step 1: (b squared = c squared - a squared)
b² = c² - a²
Step 2: (cube root of b squared = cube root of c squared and a squared)
√b² = √(c² - a²)
We get the answer as:
b = ±√(c² - a²)
How can I figure out my screentime password.
100 points to whoever can tell me exactly how to do it and maybe even brainless if it works and it has to be an actual answer not just a random one!!!
Answer:
Screen record as your parent puts the password in or wipe off your screen and give the parent your phone to put the password in then look at the fingerprint circles and that where each number is, then try all the possible combinations
Step-by-step explanation:
Which expression is equivalent to 3m+1-m?
A-2+m-1+m
B-1+m
C-3m-1
D-3m
Answer:
A
Step-by-step explanation:
Answer:
option (a) is correct.
2 + m - 1 + m is an equivalent expression to the given expression 3m+1-m
Step-by-step explanation:
Given expression 3m+1-m
We have to choose an equivalent expression from given options.
Equivalent expression are those expression that looks different but are same.
Like 4+2 = 6 and 3+ 3 = 6
Both have same value but looks differently.
Like terms are term having same variable with same degree.
Consider the given expression 3m+1-m
Simplify by adding like terms,
3m + 1 - m = (3-1) m + 1
Thus, (3-1) m + 1 = 2m + 1
Also 2m + 1 can be written as m + m + 2 - 1
Thus, option (a) is correct.
From the sum of -265 and -156 subtract the sum of 356 and -250
pls send with showing how to do the sum
Pls ASAP
Answer:
315
Step-by-step explanation:
The sum of -265 and -156:
-265 + (-156)
= -265-156
= -421
The sum of 356 and -250:
356 + (-250)
= 356-250
= 106
The sum of both:
-421 + 106
= -315
Hope this helped!
A parent volunteer group is raising money by making custom hats to sell at
school activities. They plan to sell the hats for $12. Each hat costs $6 to
make. They spent $50 for advertising.
Use n to represent the number of hats they sell. Multiply this by the money
they make for each hat, then subtract the advertising cost.
Which expression represents the money that the group raises?
A. 12n - 6 - 50
O B. 50 - (12 – 6) n
O C. (12 - 6)n - 50
O D. 12 - 6n - 50
Answer:
B
Step-by-step explanation:
The answer is B because you minus 50 from 12 and 6.
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21 cups of soda? Using J for juice and S for soda, how will the equation look?
Answer:
Step-by-step explanation:
4 cups of J for every 7 cups of soda 4:7
21 cups of soda will take 12 cups of J
If you take the 7 and multiply by 3 you get the 21.
So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.
4:7 same as 12:21
What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Complete Question
The proportion of adult women in the United States is 51% (p=0.51).What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Answer:
The probability is [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex] or [tex]P( 0.48 < p < 0.54 ) = 77\%[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 400
The population proportion is p = 0.51
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.51(1-0.51)}{400} }[/tex]
=> [tex]\sigma = 0.02499[/tex]
Generally the lower limit for the range of the population proportion within 0.03 is
[tex]a = p - 0.03[/tex]
=>[tex]a = 0.51 - 0.03[/tex]
=>[tex]a = 0.48[/tex]
Generally the upper limit for the range of the population proportion within 0.03 is
[tex]b = p + 0.03[/tex]
=>[tex]a = 0.51 + 0.03[/tex]
=>[tex]a = 0.54[/tex]
Generally the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p) is mathematically represented as
[tex]P( a < p < b) = P( \frac{a - p }{\sigma } < \frac{\^ p - p }{\sigma} < \frac{b - p}{\sigma } )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( \frac{0.48 - 0.51 }{0.02499 } < \frac{\^ p - p }{\sigma} < \frac{0.54 - 0.51}{0.02499 } )[/tex]
[tex]\frac{\^ p -p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( -1.2 < Z < 1.2 )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( Z < 1.2) - P(Z < -1.2 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.2 and -1.2 is
[tex]P( Z < 1.2) =0.88493[/tex]
and
[tex]P( Z < -1.2) =0.11507[/tex]
So
[tex]P( 0.48 < p < 0.54 ) = 0.88493 - 0.11507[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex]
PLEASE HELP I WILL MARK YOU BRAINLIEST. FIND THE AREA
Answer:
The family will need to purchase 187 square ft carpeting.
Step-by-step explanation:
Area of Rectangles
Given a rectangle with width W and length H, the area is calculated as follows:
A = W * H
The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.
The total area of the carpet is the sum of the areas of three rectangles.
The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:
A1 = 3 ft * 20 ft = 60 square ft
The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:
A2 = 3 ft * 17 ft = 51 square ft
The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:
A3 = 4 ft * 19 ft = 76 square ft
The total area of the carpet is:
A = 60 square ft + 51 square ft + 76 square ft
A = 187 square ft
The family will need to purchase 187 square ft carpeting.
what is the quotient of 8,187 divided by 24
Answer:
341.125
Step-by-step explanation:
Hope this helped, Have a Great Day!!
A stop sign in the shape of a regular octagon is
resting on a brick wall, as shown in the
accompanying diagram.
STOP
X
What is the measure of angle x?
Answer:
45°
Step-by-step explanation:
First, find the measure of each interior angle of the octagon.
Measure of each interior angle of the octagon = [tex] \frac{(n - 2)180}{n} [/tex]
Where, n = 8.
Plug in the value of n into the formula
[tex] = \frac{(8 - 2)180}{8} [/tex]
[tex] = \frac{(6)180}{8} [/tex]
[tex] = \frac{1,080}{8} = 135 [/tex]
x = 180 - 135 (straight line theorem.)
x = 45°
Please help. I want to finish this problem so I can have fun. It is really hard for me. Plz.
Answer:
x can be divided by 2,3,4,5,6
2 can be divided by 4, so is 3 to 6
so simply x can be divided by 4,5,6
4*5*6=120
Step-by-step explanation:
Question 16
Mr. Twain asked the students in his class to draw the figure below using a scale factor of 3. Then, he asked students to tell him one of the new side lengths of the figure. Some student responses are below.
Student Response
Mark 5 in.
Samantha 6 in.
Divia 1.3 in.
Cheng 0.9 in.
Candice 11.7 in.
Select the student that answered Mr. Twain's question correctly.
A
Mark
B
Divia
C
Cheng
D
Candice
Answer:
C
Step-by-step explanation:
Your answer is C because got the question right when put C .
A small deck of 5 cards consists of 3 red Jards and 2 green cards.
Draw 7 times with replacement.
Find the probability that a red card is drawn exactly 3 times.
Answer:
Approximately [tex]0.19[/tex].
Step-by-step explanation:
The cards were drawn with replacement. Therefore, the probability of drawing a red card will be [tex](3 / 5)[/tex] at every one of the seven draws. The probability of not drawing a red card would be [tex](1 - (3/5)) = (2/5)[/tex].
One way to get three red cards out of the seven draws would be [tex]\verb!red!\; \verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!green![/tex]. That corresponds to a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex].
However, there are many other ways to get three red cards during the seven draws. For example:
[tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green![/tex], [tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green![/tex].[tex]\cdots[/tex].[tex]\verb!green!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!red!\; \verb!red![/tex].There are [tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} = 35[/tex] such ways in total to choose three draws out of seven draws.
These ways are mutually-exclusive. Each of these ways has a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex]. The probability for getting a red card on exactly three out of the seven draws would be:
[tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} \, (3/5)^3\, (1 - (3/5))^{7-3} \approx 0.19[/tex].
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
x = ______
Answer:
2/3
Step-by-step explanation:
cuz it is
Answer:
2/3
Step-by-step explanation:
Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long
Answer:
33 minutes
Step-by-step explanation:
It would tale her 1.5 min for each page
60 = 5(1.07)^x
initial value:
a. 7%
b. 1.07%
c. 9.3%
d. 5
e. 60
growth or decay?
growth/decay rate?
a. 7%
b. 1.07%
c. 9.3%
d. 5
e. 60
Given:
The given equation is
[tex]60=5(1.07)^x[/tex]
To find:
The initial value and growth/decay factor.
Solution:
The general exponential growth/decay model is
[tex]y=a(1+r)^x[/tex] ...(i)
where, a is initial value, if r>0, then |r| is growth factor, if r<0, then |r| is decay factor and x is time.
We have,
[tex]60=5(1.07)^x[/tex]
It can be written as
[tex]60=5(1+0.07)^x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=5\text{ and }r=0.07[/tex]
Here, initial value is 5 and growth factor is 0.07, i.e., 7%.
Therefore, the correct option for first question is d and correct option for second question is a.
Answer:
see image
Step-by-step explanation:
Plato/Edmentum
Let A = (1,2,3,4) and B= (0,1) use the set roster notation,to work each of the following sets and indicate the number of elements that are in each set?
a.A x B
b. bx A
c.A x A
d.B x B
Step-by-step explanation:
A={1,2,3,4}
B={0,1}
now,
a. A×B={1,2,3,4}×{0,1}
={(1,0)(1,1)(2,0)(2,1)(3,0)(3,1)(4,0)(4,1)}
b. B×A={(0,1)(0,2)(0,3)(0,4)(1,1)(1,2)(1,3)(1,4)}
c. A×A={(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)(4,1)(4,2)(4,3)(4,4)}
d. B×B={(0,0)(0,1)(1,0)(1,1)}
hope it help u..
Hi! can someone simplify this, thank youu
k-6:5 + 4-k:6= 6k-36+20-5k:30 =
k-16:30
Using a Table of Values to Find a Solution to a System
a) Complete the table below to solve the equation 2.5x-10.5=64(0.5)x.
x f(x)=2.5x-10.5 g(x)=64(0.5)x
2
3
4
5
6
b) Give the solution for the equation:
Answer:
This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.
f(x) = 2.5x -10.5 g(x) = 64(0.5)^x
when x= 2... when x= 2...
f(2) = 2.5(2) - 10.5 g(2) = 64(0.5)^2
f(2) = 5 - 10.5 = -5.5 g(2) = 64(.25)= 16
when x= 3... when x= 3...
f(3) = 2.5(3) - 10.5 g(3) = 64(0.5)^3
f(3) = 7.5 - 10.5 = -3 g(3) = 64(0.125) =8
when x= 4... when x = 4...
f(4) = 2.5(4) - 10.5 g(4) = 64(0.5)^4
f(4) = 10 - 10.5 = -0.5 g(4) = 64(0.0625) = 4
when x= 5... when x= 5...
f(5) = 2.5(5) - 10.5 g(5) = 64(0.5)^5
f(5) = 12.5 - 10.5 = 2 g(5) = 64(0.03125) = 2
when x= 6... when x = 6...
f(6) = 2.5(6) - 10.5 g(6) = 64(0.5)^6
f(6) = 15 - 10.5 = 4.5 g(6) = 64(0.015625) = 1
What is the difference between 1.37 and 0.52
Answer:
0.85
Step-by-step explanation:
1.37-0.52=0.85