Answer:
VXW
Step-by-step explanation: Since the first one is the same model as the 2nd but with different letter and the order for the first one would be the same as the 2nd model.
If b = -3, find
answer
Answer:
-2
Step-by-step explanation:
[tex](-3)^2+3(-3)-2\\=9-9-2\\=-2[/tex]
Choose 5 cards from a full deck of 52 cards with 13values (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A) and 4 kinds(spade, diamond, heart, and club). Count how many possible ways to geta(a)Two-pairs: Two pairs plus another card of a different value, for example:(b)Flush: five cards of the same suitbutdifferent values, for example: (c)Full house: A three of a kind and a pair, for example: (d)Four of a kind: Four cards of the same value, for example:
Answer:
a) 182 possible ways.
b) 5148 possible ways.
c) 1378 possible ways.
d) 2899 possible ways.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question, we have that:
There are 52 total cards, of which:
13 are spades.
13 are diamonds.
13 are hearts.
13 are clubs.
(a)Two-pairs: Two pairs plus another card of a different value, for example:
2 pairs of 2 from sets os 13.
1 other card, from a set of 26(whichever two cards were not chosen above). So
[tex]T = 2C_{13,2} + C_{26,1} = 2*\frac{13!}{2!11!} + \frac{26!}{1!25!} = 182[/tex]
So 182 possible ways.
(b)Flush: five cards of the same suit but different values, for example:
4 combinations of 5 from a set of 13(can be all spades, all diamonds, and hearts or all clubs). So
[tex]T = 4*C_{13,5} = 4*\frac{13!}{5!8!} = 5148[/tex]
So 5148 possible ways.
(c)Full house: A three of a kind and a pair, for example:
4 combinations of 3 from a set of 13(three of a kind ,c an be all possible kinds).
3 combinations of 2 from a set of 13(the pair, cant be the kind chosen for the trio, so 3 combinations). So
[tex]T = 4*C_{13,3} + 3*C_{13.2} = 4*\frac{13!}{3!10!} + 3*\frac{13!}{2!11!} = 1378[/tex]
So 1378 possible ways.
(d)Four of a kind: Four cards of the same value, for example:
4 combinations of 4 from a set of 13(four of a kind, can be all spades, all diamonds, and hearts or all clubs).
1 from the remaining 39(do not involve the kind chosen above). So
[tex]T = 4*C_{13,4} + C_{39,1} = 4*\frac{13!}{4!9!} + \frac{39!}{1!38!} = 2899[/tex]
So 2899 possible ways.
If the diagonals of a shombus are 10 and 24, find the area of the rhombus
A
120 units
B
240 units
С
60 units
D
180 units
The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools.
The question is incomplete. Here is the complete question.
The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 application on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools. Create and interpret a 95% confidence interval.
Answer and Step-by-step explanation: Th proportion of students that attend private schools in the sample is
[tex]p=\frac{46}{450}[/tex]
p = 0.102
At 95% confidence, z-score is 1.96.
Standard deviation for sample proportion is calculated as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
For this sample, it will be
[tex]\sigma = \sqrt{\frac{0.10(1-0.1)}{450} }[/tex]
[tex]\sigma=\sqrt{0.0002}[/tex]
[tex]\sigma=0.01414[/tex]
Interval is calculated as
p ± zσ
Then
0.102 ± 1.96(0.01414)
0.102 ± 0.028
Interval is 0.074 < p < 0.13
What confidence interval means is that with a certainty of 95%, we are confident that the true population proportion of students who attend private schools are between 0.074 and 0.13.
Which inequality is true if p = 2.8?
Complete question :
Which inequality is true if p = 2.8?
3p < 10.2
13.6 ≤ 3.9p
5p > 17.1
8.5 ≥ 2.5p
Answer:
3p < 10.2
8.5 ≥ 2.5p
Step-by-step explanation:
To obtain the true expression, put p = 2.8 in all the options and choose the true inequality expression :
3(2.8) < 10.2
8.4 < 10.2 ( true)
13.6 ≤ 3.9p
13.6 ≤ 3.9(2.8)
13.6 ≤ 10.92 ( False)
5p > 17.1
5(2.8) > 17.1
14 > 17.1 ( False)
8.5 ≥ 2.5p
8.5 ≥ 2.5(2.8)
8.5 ≥ 7 (True)
Jeromes credit card has an APR of 18% calculated on the previous monthly balance and a minimum payment of 2% starting the month after the first purchase his credit card record for the last seven months is shown in the table below what is the total amount that Jerome has paid in interest over the seven months
Answer:
$194.54!!
Step-by-step explanation:
Answer:
65.18
Step-by-step explanation:
Don’t mind the check make but which statement describes the error the student made in simplifying the equation
Answer:
i think A sorry i dont know for suee
Valencia is solving this number riddle using guess and check. What number multiplied by eight is equal to forty? Valencia must find . To use guess and check, Valencia can different numbers by . multiplied by eight is equal to forty.
Answer:
first one is A second on is C third is B fourth is B HOPE THIS HELPS
Answer:
1. A
2.C
3.B
4.B
Step-by-step explanation:toke test
Sandra deposited $2,500 into a simple interest account.
She earned $ 75 in interest after 11 year.
Ron deposited $8,000 into an account that has the same interest rate as Sandra’s account.
How much money did Ron earn in interest after 11 year?
Show your work.
Answer:
240$
Step-by-step explanation:
we know that
The simple interest formula is equal to
I=P(rt)
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
Sandra
t = 1 year
I= $75
P= $2,500
r= ?
substitute in the formula above
75=2,500 (r(1))
solve for r
r=75/2,500)
r= 0.03
Convert to percentage form
r= 0.03 * 100 = 3%
Ron
t=1 year
I = ?
P= 8,000
r= 0.03
substitute in the formula of interest
I = 8,000(0.03 *1)
I = $240
Rachel received 5/8 of the 72 vote cast for class president. How many votes did she receive
Answer: Rachel recieved 45 votes.
Step-by-step explanation: Any easy way to solve this is to has the demonimator equal the total amount of votes. So in the questions, 8 is the denominator and 72 is the total amount of votes. To get from 8 to 72, you need to multiple 8 by 9. And whatever you do to the denominator, you must do to the numerator. So, 5 times 9 equal 45 which is the number of votes Rachel recieved.
- {(-3, 3), (1, 1), (0, -2), (1,-4), (5, -1)}
Function?
Answer:
Step-by-step explanation:
It is not a function. (1,1) and (1,-4) are both points on the graph.
Solve For X. Please add an explanation.
Answer:
Your answer is 2.5
Hope that this is helpful. Vote and like it
In a right triangle, the measures of the legs are x and x + 14 and the measure of the hypotenuse is x + 16. Find the measure of x.
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
We can use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:
[tex](x)^2+(x+14)^2=(x+16)^2[/tex]
Expand:
[tex]\displaystyle x^2+(x^2+28x+196)=x^2+32x+256[/tex]
Combine like terms:
[tex]2x^2+28x+196=x^2+32x+256[/tex]
Subtract the right from the left:
[tex](2x^2+28x+196)-(x^2+32x+256)=0[/tex]
Subtract:
[tex]x^2-4x-60=0[/tex]
Factor:
[tex](x-10)(x+4)=0[/tex]
Zero Product Property:
[tex]x-10=0\text{ or } x+4=0[/tex]
Solve:
[tex]\displaystyle x = 10 \text{ or } x = -4[/tex]
The x cannot be negative since a side cannot measure -4. So, our only answer is:
[tex]x=10[/tex]
So, the legs are 10 and 24 with the hypotenuse being 26.
I need to Mach the answers to the questions please help
Answer:
1a. 3y = 18
1b. y + 7 = 18
1c. 2y + 4 = 18
Step-by-step explanation:
In each case, let's take the red boxes to be constant why the the green boxes represents the variable, y.
Thus,
1a. There are only 3 green boxes which gives us 18, therefore, the equation that expresses this would be:
3y = 18
1b. We have 7 red boxes which represents the constant, 7.
We also have 1 green box which represents the variable, y. Therefore, the equation that expresses this would be:
y + 7 = 18
1c. We have 4 red boxes = 4
We have 2 green boxes = 2y
Therefore, we would have:
2y + 4 = 18
What is the quotient of 9.75÷1.3
Answer:
7.5
You know, you can just use a calculator.
PLS HELP ASAP If -2 is added to each of the x and y intercepts of the line 3x + 2y = 6, find the new equation of the line
Answer:
3x + 2y = -4
Step-by-step explanation:
x intercept of the line occurs at y = 0
Given the equation 3x+2y = 6
3x+2(0) = 6
3x = 6
x = 2
The x intercept is at (2, 0)
Adding -2 to each axis will give (2-2, 0-2) = (0, -2)
y intercept of the line occurs at x = 0
Given the equation 3x+2y = 6
3(0)+2y = 6
2y = 6
y =3
The x intercept is at (0, 3)
Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)
The new coordinates are (0, -2 and (-2, 1)
Using the point slope form of the equation y - y0 = m(x-x0)
slope m = y2-y1/x2-x1
m = 1-(-2)/-2-0
m = 1+2/-2
m = -3/2
Using m = -3/2 and (0, -2)
y - (-2) = -3/2(x-0)
y+2 = -3/2 x
2(y+2) = -3x
2y+4 = -3x
-3x-2y = 4
3x + 2y = -4
Hence the required equation is 3x + 2y = -4
It will cost $2 per square foot to plant grass in the park. What will be the total cost, in dollars, of planting the grass?
Answer:
$1040
Step-by-step explanation:
~!!!!! PLEASE HELP IM IN 7TH GRADE LEARNING 9TH AND 8TH GRADE MATH !!!!~
QUESTION SORRY ITS SMALL*
Answer:
Taylor charges $5 more than Lucy for 2.5 hours.
Step-by-step explanation:
You need to find how much Taylor charges for 2.5 hours and how much Lucy charges for 2.5 hours.
Taylor:
$15 for first hour and then $10 for each hour r fraction of an hour.
Taylor charges $15 for the first hour.
Then the time remaining is 2.5 hours - 1 hour = 1.5 hours.
The charge for an hour or fraction of an hour after the first hour is $10 per hour.
1.5 hours * $10/hour = $15
Total charge for Taylor: $15 + $15 = $30
Lucy:
Lucy charges according to the function that we are shown.
According to the function, we need the middle equation since that is the one that includes 2.5 hours which is between 2 and 4 hours.
Th function that includes x = 2.5 hours is
f(x) = 10x
Since the number of hours is 2.5, then x = 2.5, and we evaluate the function for x = 2.5.
f(x) = 10x
f(2.5) = 10(2.5)
f(2.5) = 25
Lucy charges $25 for 2.5 hours.
Taylor charges $30. Lucy charges $25.
The difference is $30 - $25 = $5.
Answer: Taylor charges $5 more than Lucy for 2.5 hours.
How much is 20% off of $90.75?
3/8x5/4 Helpppppp pls
Answer:
9/25 or .36
Step-by-step explanation:
3 ( 2 - 2 ) + 2 ( - 2 x 3 + 4 )
what is the value of 4/15 ÷ 2/3
The value of 4/15 ÷ 2/3 is 2/5
In order to solve this, the first thing is to change the division sign to multiplication sign and this will be:
= 4/15 ÷ 2/3
= 4/15 × 3/2
= 12/30
Reduce to lowest term
12/30 = 2/5
In conclusion, the value of 4/15 ÷ 2/3 is 2/5.
Read related link on:
https://brainly.com/question/24429956
Work out the surface area of the prism
HALP MA PLS!!!!!!!!!!!!!!!!!!!!!!
Answer:
48 dollars.
Step-by-step explanation:
If you look up "40 percent off of 85" you'll get 48.
Answer:
$48
Step-by-step explanation:
First, you must get the original price (which is $85 in this case) and multiply 40% or convert it to 0.40. So if you multiplied 85 by 0.40 correctly you should get 34. Then you would subtract 34 from 85. So the answer would be $48. This is called a markdown
blank tens 15 ones = 6 tens 5 ones
Step-by-step explanation:
_x_tens 5 ones=6tens 5 ones
5x=65
x=65/5
x=13
sorry i donot get answer at 15 ones.
2+5x+1/2x^3dx
Answer
Answer:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
Step-by-step explanation:
I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:
[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]
Sum rule tells us:
[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]
From this we get:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]
Don't forget to add the constant!
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
what phrases describes the expression of 16-y
What phrases describes the expression of 16-y
Answer: -9
Hope this helps~
I have data with 2 independent variables measuring the effectiveness of 3 different antibiotics at different dosages. I don't know if I should use a bar graph or line graph
What is
in exponential form?
2
Xy
2
xy
10
xay
xy
O
XY
5
xy
Answer: a
Step-by-step explanation:
Answer:
An x-y axis, also known as a cartesian coordinate system or a coordinate plane, is a two-dimensional plane of points defined uniquely by a pair of coordinates. ... The horizontal line, then, is known as the x axis and measures the distance left or right from the vertical line.
Step-by-step explanation:
pls help me i dont know how to do it