Answer:
1584
Step-by-step explanation:
Distribution of cards in a deck:
Total number of cards = 52
Total number of cards drawn = 5
Sampling without replacement :
Number of Aces = 4
Number of kings = 4
Card different from Aces and kings = total cards - (4 + 4) ;
52 - 8 = 44 cards
(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)
Using combination :
4C2 * 4C2 * 44C1
Using calculator :
6 * 6 * 44
= 1584
The price of a new car was $22,800vin April. However, the price of the car was reduced 5% in May. Find the price in May.
Answer: 1140
Step-by-step explanation: Sorry if its wrong
Answer:21660
Step-by-step explanation:
95*22800/100
100 point please help me
Answer:
it says 5 points
Step-by-step explanation:
Answer:
2m+4
(twice the students in maths(2m) plus four more (+4))
The probability of eating a sugar cookie is 0/35
the chance of eating a sugar cookie is ____
Answer:
0
Step-by-step explanation:
Well if the probability is 0 then the chance is 0
Q2) A meat pie contains chicken and turkey in the ratio 4 : 1. ( 3 marks)
The pie contains 300 g of chicken.
How much turkey is in the pie?
How much meat is there altogether in the pie?
Plz i begggg
please
If the triangles are congruent,
then y = [?].
4x+1
13
2x+y
8x-2y
Answer:
4x+1
Step-by-step explanation:
The way i got this was because sometimes on shapes there are 4 side and so you would multiply the number of sides then add some more to it.
1.
Plot the figure on a graph. Label the vertices: P(-2, 4), Q(3, 4), R(3,1), S(-2,
1).
What is the shape of the figure?
Which Fraction is equivalent to 3/12?
3/4
1/4
3/36
Answer:
1/4
Step-by-step explanation:
3/12 ÷3= 3÷3=1 and 12÷3=4
Jason is making pumpkin bread. He needs 4 cups of pumpkin for every 3 cups of sugar. What is the ratio of cups of sugar to cups of pumpkin that Jason will need?
A. 3 to 4
B. 4 to 3
C. 4 to 7
D. 7 to 3
Answer:
3 to 4 - A
Step-by-step explanation:
Solve the following system of equations by graphing.
y = -1/2 - 1
y = x - 4
Answer:
Convert Equation 1 to slope-intercept form.
y
=
−
x
+
4
The two equations have the same slope,
m
=
−
1
, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.
graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}
Step-by-step explanation:
Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?
Step-by-step explanation:
Difference of Squares: a² - b² = (a + b)(a - b)
(x² - 16) / (x - 4)
= [(x + 4)(x - 4)] / (x - 4)
= x + 4, where x =/= 4.
Answer:
1. (x+4)
2. 4
Step-by-step explanation:
got right on edge
You place a 1-dollar bet on the number 17 at Las Vegas, and your friend places a 1-dollar bet on black (see Exercises 1.1.6 and 1.1.7). Let X be your winnings and Y be her winnings. Compare E(X), E(Y ), and V(X), V(Y). What do these computations tell you about the nature of your winnings if you and your friend make a sequence of bets, with you betting each time on a number and your friend betting on a color
Answer:
E(x) = -$0.05263
E(y) = -$0.05263
V(x) = 0.9972
V(y) = 32.23
the expectations are the same, both will lose the same amount of money if they play for 38 times.
Though Variance is different. The girl betting on colors has little chance to gain and lose but the boy betting on number has huge deviation
Step-by-step explanation:
Given that; you place a 1-dollar bet on the number 17 at Las Vegas and your friend places a 1-dollar bet on black.
Let x represent your winnings and y represent your friends winnings
we know that, There are 18 black slots, 18 red slots and two green slots (0 and 00) on a US roulette wheel.
so, the chances of getting black(red) = 18/38
now, E(y) = (18/38)$1 + (20/38)(-$1)
E(y) = -$0.05263
Now, bets made on the chart of the various numbers 1 to 36 and zero, Just put a chip down in the middle of the square with the number you select. If it comes up, it pays 35-to-1. It is called a straight up bet.
hence, the chance of getting selected number will be 1/38
so E(x) will be;
E(x) = (1/38)$35 + (37/38)(-$1)
E(x) = -$0.05263
So, V(x) will be;
V(x) = [ 1 - (1/19)² ]
= 1 - 0.00277
V(x) = 0.9972
V(y) = { [ (35)² × (1/38) ] - (1/19)² }
= 32.2368 - 0.00277
V(y) = 32.23
Therefore, the expectations are the same, both will lose the same amount of money if they play for 38 times.
Though Variance is different. The girl betting on colors has little chance to gain and lose but the boy betting on number has huge deviation.
The random variable R has the binomial distribution B (12,0.35) .find P(R>4)
Answer: [tex]0.416655[/tex]
Step-by-step explanation:
If random variable X has the binomial distribution B(n, p), then
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]
, where n= Total number of trials, x = number of successes , p= probability of success in each trial.
Given: The random variable R has the binomial distribution B (12,0.35).
n= 12, = 0.35
[tex]P(R>4)=1-P(R\leq4)\\\\=1-[P(R=0)+P(R=1)+P(R=3)+P(R=4)]\\\\\\=1-[^{12}C_0(0.35)^{0}(1-0.35)^{12}+^{12}C_1(0.35)^{1}(1-0.35)^{11}+^{12}C_2(0.35)^{2}(1-0.35)^{10}+^{12}C_3(0.35)^{3}(1-0.35)^{9}+^{12}C_4(0.35)^{4}(1-0.35)^{8}]\\\\= 1-[(1)(0.65)^{12}+(12)(0.35)(0.65)^{11}+\dfrac{12!}{2!10!}(0.35)^2(0.65)^{10}+\dfrac{12!}{9!3!}(0.35)^3(0.65)^{9}+\dfrac{12!}{8!4!}(0.35)^4(0.65)^{8}]\\\\=1-0.583345\\\\\approx0.416655[/tex]
Hence, P(R>4)=0.416655
I need to find what's in those four boxes
Answer:
-500 + 200, -300
|0 - 200|, +200
Step-by-step explanation:
Find the percent of a number 20% of 155
Hey there!
[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]
[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{Amphitrite1040:)}[/tex]
The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.
What is the minimum amount of money he needs to save each month?
$540
$625
$675
$1,250
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Nora baked 40 cupcakes. She ate 4 cupcakes and gave 25% of the remaining
cupcakes to her neighbours. How many cupcakes did Nora have left?I want this answer it percentage
Answer:
27 cupcakes left
In percentage of the number of cupcakes left after she ate 4 = 75%
In percentage of the total number of cupcakes she baked = 67.5%
Step-by-step explanation:
Given that Nora baked 40 cupcakes and ate 4 cupcakes then, the remainder
= 40 - 4
= 36 cupcakes
If she gave 25% of the remaining, the number of cupcakes given
= 25% * 36
= 25/100 * 36
= 9 cupcakes
the number of cupcakes left
= 36 - 9
= 27 cupcakes
In percentage of the number of cupcakes left after she ate 4, this will be
= 100% - 25%
= 75%
In percentage of the total number of cupcakes she baked
= 27/40 * 100%
= 67.5%
Which questions are True or False?
1.) Supplementary angles always add up to 90°.
2.) Complementary angles always add up to 180°.
3.) Vertical angles always have the same measure.
4.) ∠x is complementary to the 34°angle.
5.) ∠z is vertical to the 112°angle.
6.) ∠y is a linear pair with the 146°angle.
Answer:
1) false
2) false
3) true
4)false
5) true
6) true
a recipe for 30 cookies calls for 4 tablespoons of sugar. If you make 40 cookies and use 5 tablespoons of sugar, will the cookies taste the same? HELP ASAP WILL MARK BRAINLISET IF CORRECT
Subtract the complex numbers.
(5 + 4i) - (7 + 8i)
Answer:
Step-by-step explanation:
5 + 4i - 7 - 8i
-2 - 4i
A series of maths books consists of four volumes. The first has x pages and the second has 54 more. The third and fourth volumes have 32 more pages than the second volume. The number of pages of all volumes is 866. Calculate the number of pages in each volume.
Answer:
1st volume = 160
2nd volume = 160 + 54 = 214
3rd volume = 160 + 54 + 32 = 246
4th volume = x + 54 + 32 = 246
Step-by-step explanation:
Given that:
Number of volumes = 4
1st volume = x pages
2nd volume = 54 more = x + 54
3rd volume = 32 more = x + 54 + 32
4th volume = 32 more = x + 54 + 32
Total number of pages = 866
Hence,
1st + 2nd + 3rd + 4th = 866
x + x + 54 + x + 54 + 32 + x + 54 + 32 = 866
4x + 226 = 866
4x = 640
x = 160
1st volume = 160
2nd volume = 160 + 54 = 214
3rd volume = 160 + 54 + 32 = 246
4th volume = x + 54 + 32 = 246
The school chef put 3 apple pies, 2 blueberry pies, 4 peach pies, and 1 lemon pie in the oven to bake. At the start of lunch she randomly takes out one pie and does not put it back. 20 mins later she randomly selects another pie. What are the chances of her selecting a peach pie and then a lemon pie? Write your answer as a percent.
WHAT INFORMATION DOES THE CORRELATION COEFFICIENT TELL YOU ABOUT A SCATTERPLOT
Answer:
How close the correlation is. the closer the correlation coefficient is to ±1, the stronger the correlation
Step-by-step explanation:
Sarah interviewed for a job that promised her a starting salary of $37,000
with a $1550 raise at the end of each year. What will her salary be during
her sixth year if she accepts the job
9y-7=56 y=?: show work
Answer:
53.12
Step-by-step explanation:
1234567890
Answer:
y = 7
Step-by-step explanation:
9y - 7 = 56
+7 +7
9y = 63
/9 /9
y = 7
(/9 = divided by 9)
check : 9 x 7 = 63 ( 63 - 7 = 56) correct!
Rewrite the inequality:
a ≥ 9
You owe $748.11 in taxes, and you have paid $692.40. Which statement best describes your refund/taxes due?
A): You owe an additional $55.71.
B): You will receive a refund of $55.71.
C): You owe an additional $155.71.
D): You will receive a refund of $155.71.
Answer:
A.
Step-by-step explanation:
748.11 - 692.40 = 55.71
so you will still owe 55.71
Answer: A). You owe an additional $55.71.
Hope this helps :)
What are the roots of the equation 16x2 + 40x + 27 = 0 in simplest a + bi form?
9514 1404 393
Answer:
-5/4 +i(√2)/4 and -5/4 -i(√2)/4
Step-by-step explanation:
I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...
x^2 +5/2x +27/16 = 0
Completing the square by adding and subtracting the square of half the x-coefficient, we get ...
(x^2 +5/2x +25/16) +27/16 -25/16 = 0
(x +5/4)^2 = 2/16
Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...
x +5/4 = ±√(-2/16)
x = -5/4 ±i(√2)/4
The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.
This assignment is due in a little can you guys help me, please?
Answer and Step-by-step explanation:
First, read through the phrase and then break it down.
4 less than the product (multiplying) of 7 and a number (can be noted as 'x')
7x - 4 is the answer, since 4 will be less than the product of 7 and a number, with x being the placeholder.
#teamtrees #WAP (Water and Plant)
I need help on this problem
Please
The tutor button has not been working
Answer: 14 and 3.5
Step-by-step explanation:
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answer:
7.9 of each
Step-by-step explanation: