The probability of drawing a head card of diamonds and then a head card of hearts is:
P = 0.003
How to find the probability?
Here we assume that we have a deck of 52 cards, and we want to find:
P(Head, Diamond AND Head, Heart)
This is the probability of drawing a head of diamonds and then a head of hearts.
Remember that for each suit has 3 head cards, J, Q, and K.
Then for the first card, the probability of getting a head of diamonds is equal to the quotient between the number of cards with these properties (3) and the total number of cards (52).
P = 3/52
Then we need to draw a head of hearts, the probability is computed in the same way, but before we drew a card, so now the total number of cards is 51, so we get:
Q = 3/51
Then the joint probability is:
p = (3/52)*(3/51) = 0.003
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What ratio is equivalent to the rate 40 miles / 1 hour
Answer:
40:1
Step-by-step explanation:
hope this helps:)
Events a and b are independent. the probability of a occurring is . the probability of b occurring is . what is p(a and b)?
Since events a and b are independent P(a and b) = P(a) × P(b)
To answer the question, we need to know what probability is
What is probability?Probability is the likelihood of an event to occur. The probability of the event P(event) = number of required outcomes/total number of outcomes
Probability of independent eventsIf we have two independent event sa and b that have probabilities of occuring P(a) and P(b) respectively, the probability P(a and b) = P(a) × P(b)
So, P(a and b) = P(a) × P(b)
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A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the price (y), in dollars, of different number of bottles of oil (x):
Brand A
Number of Bottles, x Price (dollars), y
2
22
3
33
4
44
5
55
Brand B
y = 17x
How many dollars more is the price of 8 bottles of brand B oil than the price of 8 bottles of brand A oil?
$5
$6
$28
$48
Answer:
$48
Step-by-step explanation:
The number of dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil is:
$ 48
Step-by-step explanation:
Brand A--
Number of bottles (x) Price (dollars) y
2 22
3 33
4 44
5 55
The function that represents the relation between the price of the bottles and the number of bottles is:
y=11x
Brand B--
Also, the price of the bottles depending on the number of bottles is:
Y=17x
According to Brand A the price of 8 bottles is: y=11×8=$ 88
and according to Brand B the price of 8 bottles is: y=17×8= $ 136
Also, the difference in the price of Brand B to that of Brand A for 8 bottles is:
$ 136-$ 88
= $ 48
Which expression represents the sixth term in the binomial expansion of (5y 3)10?
The expression in the 6th term in the binomial expression is [tex]265781250y^6[/tex]
How to determine the expression in the sixth term?The expression is given as:
(5y + 3)^10
The above expression is a binomial expression, and the xth term can be represented using:
[tex]^nC_x (a)^x * (b)^{n-x}[/tex]
So, we have:
[tex]^{10}C_6 * (5y)^6 * (3)^4[/tex]
Evaluate the combination expression
[tex]210 * (5y)^6 * (3)^4[/tex]
Evaluate the exponents
[tex]210 * 15625y^6 * 81[/tex]
Evaluate the product
[tex]265781250y^6[/tex]
Hence, the expression in the 6th term is [tex]265781250y^6[/tex]
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can someone help me with this problem? Thank you!
In order to find the answer, we need to multiply 15 x 12 then find the exponent based on the object shape (2D/3D).
15 x 12 = 180.
If the object is 2D, the exponent is 2 (squared). If the object is 3D, the exponent is 3 (cubed). We can tell that the object is 2D, so the exponent is 2.
The answer is 180^2, or 180 squared.
I was hoping that you'd give me Brainiest as I'm trying to rank up. If you want to, please do!
Answer:
The answer is 180 squared.
Step-by-step explanation:
Happy to help!
Given h(x) = −3 |x + 1| evaluate h (-3)
Need help this is for final’s study’s
Answer:
-6
Step-by-step explanation:
h(x) = −3 |x + 1| evaluate h (-3)
h (-3) means x = -3
Plug in:
h(x) = −3 |(-3) + 1| → h(x) = −3 |-3 + 1|
h(x) = −3 |-2| since -2 is an absolute value it becomes 2
h(x) = −3(2)
h(x) = -6
Let me know if you have anymore questions,
Good Luck studying :) YOU GOT THIS !!!
7. The points (−2,−4) and (5,6) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answer
6.10
Use the distance formula:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf d =\sqrt{(5-(-2))^2 + (6-(-4))^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{(7)^2 + (10)^2}[/tex]
[tex]\rightarrow \sf d =\sqrt{149}[/tex]
This is the length of diameter.
Then radius:
· diameter/2
[tex]\sf \cdot \dfrac{\sqrt{149 } }{2}[/tex]
[tex]\sf \cdot 6.103277808[/tex]
[tex]\sf \cdot 6.10 \ \ (rounded \ to \ nearest \ hundreth)[/tex]
A multiple-choice test with 50 questions has five possible
choices for each question. There are 4 marks for each correct
answer, -1 mark for each incorrect answer, and 0 marks for each
unanswered question.
What is the total score of a student with 35 correct answers, 10
incorrect answers and 5 unanswered questions?
Answer:
130
Step-by-step explanation:
[tex](35*4)-(10*1)-(5*0)=130[/tex]
The graphs below have the same shape. f(x) = x².
What is the equation of the graph of g(x)?
Answer:
C. g(x) = (x - 4)²
Explanation
g(x) is f(x) right 4 units
When shifted right, x - a, a is the distance
So g(x) = (x - 4)² is the answer
HOPE THIS HELPS AND HAVE A NICE DAY <3
Helloppp i need hwlp with this plllss
Need help as asap emergency
Answer:
$1346.4
Step-by-step explanation:
First find the rectangle portions area with lxwxh, which is 8x6x8. That equalls 384.
Then find the triangles, which is bxh, which is 6x8. That equals 144.
Add those two to get 528.
Then multiply the total area by 2.55 which will get you 1346.4
Find x. A) 3 B) 3.75 C) 4.25 D) 5
Answer: B
Step-by-step explanation:
By the intersecting chords theorem, (3)(5)=4x, meaning x=3.75.
A person works full time and gets paid $1,240 semi-monthly. Determine the annual
income.
With a solution.
At first we should calculate Monthly income by multiplying 2 then After multiplying by 12 to calculate Annual income
If h(x) = |2x−6| -2, then what is h(-1)
Answer:
[tex]h(-1)[/tex] ⇢ [tex]-h[/tex]
400 divided by 8 =?
——————————-
584 divided by 2 =?
——————————-
450 divided by 9 =?
——————————-
366 divided by 3 =?
——————————-
674 divided by 7 =?
——————————-
819 divided by 9 =?
——————————-
555 divided by 5 =?
——————————-
279 divided by 9 =?
——————————-
570 divided by 5 =?
——————————-
this will help po!
thank you!!
What is 5 3/5% of 750?
Thanks in advance.
[tex]5 \frac{3}{5} \% \: of \: 750[/tex]
solution:[tex]5 \frac{3}{5} = 5.6[/tex]
[tex] \frac{5.6\%}{100} \times \frac{x}{750} [/tex]
[tex] = 42%[/tex]
hey guys. question posted in the picture. will award brainliest.
Answer:
x=80
that is because a straight angle value is 180 and that angle is already 100 sooo i guess you get the point
what is the surface area of this solid?
_______ square meters
o 101
o 107
o 116
o 131
Answer:
The surface area of this solid is:
b. 107
Step-by-step explanation:
To understand this answer we need to analyze it. First, we have different geometric figures composing the solid. A pyramid and a rectangular prism. We need to obtain the surface, not the volume so we need to obtain the area of all the figures composing the pyramid and the prism without the hidden part of the pyramid base. We need to obtain the following areas:
2 rectangles with the following measures= W=2 L= 8
1 rectangle with the following measures= W=3 L=8
1 rectangle with the following measures= W=3 L 5
2 rectangles with the following measures= W=2 L=3
4 triangles with the following measures= B=3 H=4
Following the formula for the rectangles W x L we obtain a total area for them of 83 square meters.
Following the formula for the triangles b x h / 2 we obtain the following area: 24 square meters. Then we add both and obtain 107 square meters.
5. Mickey bought pizza and sodas for himself and four of his friends. The pizza was $17.49,
and 5 sodas were $1.19 each.
If the pizza is sliced into 10 equal slices and each person eats 2 slices and drinks one
soda, what is the cost to each person?
$2.94
® $4.13
$3.50
$4.69
Answer:
D. is the correct option
Step-by-step explanation:
There is a total of 5 people, so we can either split the pizza cost into 5, or into 10 and multiply by 2 (since each guest ate 2 slices) We'll do the first option since it's simpler.
$17.49 ÷ 5 = 3.489 or rounded up to $3.50
Next, we'll add $1.19 to $3.59 which equals $4.69
Hope this helps!
A ring is reduced to £840. This is a saving of 40% of the original price. What was the original price
The answer is 1400, good luck
a shoe company needs to create a shoe box...
Answer:
Step-by-step explanation:
21/7=3
5*3=15 width
3*3=9 height
how to make a histogram
simultaneous eqautions
3x+2y=16
2x+y=9
Answer:
(2, 5 )
Step-by-step explanation:
3x + 2y = 16 → (1)
2x + y = 9 ( subtract 2x from both sides )
y = 9 - 2x → (2)
substitute y = 9 - 2x into (1)
3x + 2(9 - 2x) =16
3x + 18 - 4x = 16
- x + 18 = 16 ( subtract 18 from both sides )
- x = - 2 ( multiply both sides by - 1 )
x = 2
substitute x = 2 into (2)
y = 9 - 2(2) = 9 - 4 = 5
solution is (2, 5 )
A 26-inch skateboard leans against a wall making a 39angle with the ground
[tex]\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){\large\bf \!\!\!\!Wall}\put(2.8,.3){\large\bf Ground}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3){\large\bf$39^{\circ}$ }\end{picture}[/tex]
We need the walls height then ground distance
[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sin39=\dfrac{P}{26}[/tex]
[tex]\\ \rm\Rrightarrow P=26sin39[/tex]
[tex]\\ \rm\Rrightarrow P=16.4in[/tex]
Distance of wall from skateboard touching point on ground:-
[tex]\\ \rm\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow cos39=\dfrac{B}{26}[/tex]
[tex]\\ \rm\Rrightarrow B=26cos39[/tex]
[tex]\\ \rm\Rrightarrow B=20.2in[/tex]
#BBH
Not everyone understands this but if you can help please do mi amor
Answers:
scaleneisoscelesscalene=======================================================
Part (a)
Let's find the distance from point D to point E.
In other words, this will compute the length of segment DE.
[tex]D = (x_1,y_1) = (0,-6) \text{ and } E = (x_2, y_2) = (3,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-3)^2 + (-6-1)^2}\\\\d = \sqrt{(-3)^2 + (-7)^2}\\\\d = \sqrt{9 + 49}\\\\d = \sqrt{58}\\\\d \approx 7.6158\\\\[/tex]
Segment DE is roughly 7.6158 units long.
Let's repeat these steps to find the length of segment EF.
[tex]E = (x_1,y_1) = (3,1) \text{ and } F = (x_2, y_2) = (-2,1)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-2))^2 + (1-1)^2}\\\\d = \sqrt{(3+2)^2 + (1-1)^2}\\\\d = \sqrt{(5)^2 + (0)^2}\\\\d = \sqrt{25 + 0}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
Segment EF is exactly 5 units long.
Lastly, we'll compute the length of segment FD.
[tex](x_1,y_1) = (-2,1) \text{ and } (x_2, y_2) = (0,-6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-0)^2 + (1-(-6))^2}\\\\d = \sqrt{(-2-0)^2 + (1+6)^2}\\\\d = \sqrt{(-2)^2 + (7)^2}\\\\d = \sqrt{4 + 49}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\[/tex]
Segment FD is about 7.2801 units long.
This is close to the length of DE, but not quite.
To recap, we found these segment lengths:
DE = 7.6158 (approximate)EF = 5 (exact)FD = 7.2801 (approximate)As you can see, all three sides are different lengths. Therefore, triangle DEF is scalene.
----------------------------------
For part (b), follow the same template as part (a).
I'll be skipping the steps.
This is what you should get for the lengths of triangle TRI
segment TR = 6.0828 (approximate)segment RI = 2 (exact)segment IT = 6.0828 (approximate)Segments TR and IT are the same length (both exactly [tex]\sqrt{37}[/tex] units long), which means triangle TRI is isosceles.
-----------------------------------
For part (c), I'll also be skipping steps.
Here are the lengths you should find
JK = 4.1231 (approximate)KL = 8.9443 (approximate)LJ = 10.6301 (approximate)All three lengths are different, making this triangle scalene.
ok but can u crank 90s
A and B are vertical angles. If mA = (2x + 1)° and m/B = (x +10)°,
then find the value of x.
Answer:
x = 9Step-by-step explanation:
GivenA and B are vertical anglesm∠A = (2x + 1)m∠B = (x + 10)Find the value of xWe know that vertical angles are congruent.
Use this property to set up equation.
m∠A = m∠BSubstitute the values of angles and solve for x.
2x + 1 = x + 102x - x = 10 - 1x = 9
The value of x is 9
i need adviceeeee pllllllllllllllllllllllllllllllllllssssssssssssssssssssssssssssssssss
Answer:
140 ounces of Vegetables
Step-by-step explanation:
23 ounces of carrots x 2 = 46 ounces
47 ounces of broccoli x 2 = 94 ounces
46 ounces of carrots + 94 Ounces of Broccoli = 140 Ounces of Vegetables
Answer:
140 oz of vetables
Step-by-step explanation:
23 x 2 = 46
47 x 2 = 94
46 + 94 = 140
Mallory ordered a pizza with a 17-inch diameter. ricky ordered a pizza with a 20-inch diameter. what is the approximate difference in the area of the two pizzas?
Answer:
Ok so, pizza one is 17 inches in diameter, which in order to find area of a circle/circumferences, you first need to divide by 2, in this case 17/2=8.5, then square it, 8.5*8.5=72.25, then multiply by PI (3.14 in this case.) 72.25*3.14=226.865 which can round up to 227. Or 226.9
Step-by-step explanation:
Divide by 2
Square
Multiply by pi. (3.14)
WHOS GOOD AT MATHS??? SURELY HELP I’ll brainlist!!!! it’s so complicated i tried and lost it. let’s see whos good at this ahah
A) construct a frequency table using a suitable class interval.
B) construct a histogram to represent these results.
Answer:
You can choose classes of amplitude 5 , it may give you a better representation of the data :
Step-by-step explanation: