The odds against drawing a 6, 7, 8 or 9 in a deck of 52 cards are given as follows:
2.25 : 1.
What is a probability and what is an odd?A probability is given by the number of desired outcomes divided by the number of total outcomes.An odd is the number of desired outcomes divided by the number of non-desired outcomes.Each number in a set of 52 cards has 4 cards, hence the number of cards with 6, 7, 8 or 9 is given as follows:
4 x 4 = 16.
Then the number of cards without these numbers is given as follows:
52 - 16 = 36.
Meaning that the odds against drawing these numbers is given as follows:
36 : 16 = 2.25 : 1.
More can be learned about the relation between odds and probability at brainly.com/question/25683609
#SPJ1
Which equation represents the slope-intercept form of the line below?
.
y-intercept = (0, 2)
slope = -
O A. y=-x-2
O B. y=-3x+2
C. y=2x-3
Answer:
B
Step-by-step explanation:
Let me know if you need a detailed explanation.
Hope this helps!
The triangles shown below must be congruent.
10
80°
10
810
81
A. True
B. False
Answer:
It is TRUE
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles
PLS MARK BRAINLIEST
Jane, Shen, and Chris sent a total of 152 text messages during the weekend. Shen sent 4 times as many messages as Chris. Jane sent 8 more messages than
Chris. How many messages did they each send?
Answer:
Chris=24
Jane=32
Shen=96
Step-by-step explanation:
Chris= x
Jane = x + 8
Shen = 4x
6x+8= 152
152-8=144
6x=144
144/6=24
x=24
h(x)=6/(x-3), find h(5)
h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.
We are given the function h(x) below:
[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]
Substitute x = 5 in the equation.
[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]
Simplify in the simplest form.
[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]
Thus h(5) is 3.
Answer
h(5) = 3Hope this helps! Let me know if you have any doubts.
Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing. What is the (geometric) significance of the dimensions of this largest possible enclosure?
Answer:
Step-by-step explanation:
let the length=x
width=y
P=2(x+y)=128
x+y=128/2=64
y=64-x
area A=xy=x(64-x)=64x-x²
[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]
so A or area is maximum if x=32
y=64-32=32
or it is a square of edge=32 meters.
help me with this please
Answer:
the numbers that right of the origin on the x axis are positive numbers
Answer:
positive
Step-by-step explanation:
positive runs on the right of x -axis
negative runs on the left of the x-axis
prime and odd will never be running on either side of x-axis
hope it helps!!!!!!
M∠1 is less than m∠2 by 40 degrees. What is m∠1 and m∠2
PLS HELP! If f(x) = 3x2 – 2x – 11, what is the value of f(-3)?
9514 1404 393
Answer:
22
Step-by-step explanation:
Put -3 where x is and do the arithmetic.
f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11
f(-3) = 22
_____
Additional comment
Sometimes evaluation is easier if you rewrite the polynomial in Horner form:
f(x) = (3x -2)x -11
f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)f(x)=36x−2x^2
Answer:
[tex]x =9[/tex] --- the critical point
Step-by-step explanation:
Given
[tex]f(x) =36x -2x^2[/tex]
Required
Determine the critical numbers
First, we differentiate f(x)
[tex]f'(x) = 36 - 4x[/tex]
Set to 0 and solve for x
[tex]36 -4x = 0[/tex]
Make 4x the subject
[tex]4x = 36[/tex]
Solve for x
[tex]x =36/4[/tex]
[tex]x =9[/tex]
In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C?
6.4 inches
7.7 inches
8.4 inches
13.1 inches
Answer:
The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.
Answer:
the answer is B: 7.7 inches
Step-by-step explanation:
did the test go 100%
Raquel needs to rent a car while on vacation. The rental company charges $19.95, plus 19 cents for each mile driven. If Raquel only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
__________ miles
Answer:
105
Step-by-step explanation:
$40 - $19.95 = $20.05
$20.05 divided by 0.19 (19¢) = 105.526316
Answer:
105 miles
Step-by-step explanation:
40-19.95= 20.05
20.05/.19= 105.5263157895
round down to 105 miles
please help lollllllllllllllllllll
Answer:
A. 12.21
Step-by-step explanation:
Define and explain:
This a right triangle, so the Pythagorean Theorem applies. The Pythagorean Theorem states that the sum of the squared legs is equal to the squared hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side.
Formula:
[tex]a^2+b^2=c^2[/tex]
[tex]a,b-legs[/tex]
[tex]c-legs[/tex]
Here, I am solving for the hypotenuse.
[tex]7^2+10^2=c^2[/tex]
[tex]49+100=c^2[/tex]
[tex]149=c^2[/tex]
The last step is to find the square root of 149.
The square root of 149 is irrational, of course, so I must round the square root to the nearest hundredth.
[tex]12.2065556157[/tex] ≈ [tex]12.21.[/tex]
[tex]12.21=c[/tex]
Conclude:
I, therefore, believe the length of the hypotenuse is 12.21.
how do i solve for
(2x/5)+1=13/5
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{2x}{5} +1 = \frac{13}{5}[/tex] [tex]\frac{2x+5}{5} = \frac{13}{5}[/tex] divide both sides by 52x + 5 = 13 subtract 5 from both sides2x = 8 divide both sides by 2x = 4
Your credit card company charges 18 % APR (Annual Percentage Rate )
What is your daily periodic rate?
A 0.02%
B 0.03%
C 0.04%
D 0.05%
Answer:
c
Step-by-step explanation:
Answer:
5.
The sum of three consecutive odd numbers is equal to thirteen more than two
times the largest number. Let the first odd number be'n'.
(a)
Write the equation of the problem
Answer:
(1 mark)
(b)
Solve for'n' to find the first number
Answer:
(1 mark)
(C)
What are the values of the second and third odd numbers?
Answer:
(1 mark)
(d)
Show that the equation is true.
Answer:
Let the numbers be n, n+2, n+4
Sum equals too= 13+2(n+4), which is 2n+21
a) Equation--> n+n+2+n+4= 2n+21
b) Solution--> 3n+6= 2n+21
=> n= 15
c) Second number--> 17 (15+2)
Third number--> 19 (15+4)
d) 15+15+2+15+4=30+21
=> 51= 51
So, the equation is true.
And pls mark me brainliesttt :)))
Will Mark Brainlest help step by step. (The ratio of two men present age is 3:4 and this will be 7:9 after 4 years what are their present age)
Answer:
24 and 32
Step-by-step explanation:
Let their present ages be x and y
Therefore, x
[tex] \frac{x}{y} = \frac{3}{4} [/tex]
we have 4x = 3y
4x - 3y = 0......................(I)
After four years,
[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]
we have, 9(x + 4) = 7(y + 4)
9x + 36 = 7y + 28
9x - 7y = -8 ........................(ii)
Solving (I) and (ii) simultaneously
4x - 3y = 0
9x - 7y = -8
multiply eqn I by 9 and equation (ii) by 4 and subtract result
36x - 27y = 0...............(iii)
36x - 28y = -32...........(iv)
subtracting (iv) from (iii) we have,
y = 32
substituting y back in equation (I)
4x - 3y = 0
4x -3(32) = 0
4x - 96 = 0
4x = 96
x = 24
Their ages are 24 and 32
To rent a car, Cesar must pay $15 a day plus 5 cents for every mile he drives. In dollars, what is his final bill if he rents a car for 3 days and drives a total of 50 miles?
Answer:
$70
Step-by-step explanation:
What we know:
⇒ He must pay 15 dollars a day
⇒ He needs to pay an additional 5 cent for every mile he drives
⇒ He drives 50 miles for 3 days
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Since he pays $15 a day and he is driving this car for 3 days, we have to multiply 15 by 3.
15*3=45
He drove 50 miles and each mile is 5 cents so we have to multiply those as well.
50*.5=25
Now we add both the sums togather~
25+45= $70
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞The amount he has to spend for his car rental is $275.
There are 12 marbles in a bag. 3
are green, 4 are blue, 3 are
yellow and 2 are red. One marble
is picked at random. What is the
probability that this marble is
blue?
Answer:
1/3 is the probability for the blue marbal
if sin (A+B)=1 and tan (A-B)=1/sqroot 3
are acute angles. find out the value of A and B
Answer:
A = 60° , B = 30°
Step-by-step explanation:
[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]
[tex]A = 60^\circ[/tex]
[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]
If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?
Answer:
the side length of the hot tub = 4.8ft
Step-by-step explanation:
Scale Factor = 5
Also,
B'C' = 24 feet
Since both are squares so both have all sides equal.
Square A'B'C'D' is dilated by a scale factor of 5
So,
AB = BC = CD = DA = 24/5 = 4.8 ft.
i hope this helps you
The length of the one side of the hot tub is 4.8 ft.
What is Scale Factor?
The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
Here, Richardo wants to build a square pool of the hot tub using a scale factor of 5.
If the each side of the pool is 24 ft.
The length of one side of hot tub = 24/5 = 4.8 ft.
Thus, the length of the one side of the hot tub is 4.8 ft.
Learn more about Scale Factor from:
https://brainly.com/question/22312172
#SPJ2
Xavier, Yi, and Zazoo decide to share their lottery winnings of £11000 such that Yi has three times as much as Zazoo and Xavier has half of Yi’s winnings. How much should each receive?
Answer:
2000 ; 6000 ; 3000
Step-by-step explanation:
Given:
Total lottery winning = £11,000
Let :
Zazoo's share = x
Yi's share = 3x
Xavier's share = 3/2x
Total share = (x + 3x + 3/2x) = 5.5x
Total winning / total share
x = £11000 / 5.5
= 2000
Zazoo's share = £2000
Yi's share (2000 * 3) = £6000
Xavier's share = 3/2 * 2000 = £3000
Deriction Translate the following word phrase to algebraic expression. two times a number plus 9.
Step-by-step explanation:
Let the number be n. Then: 2n + 9
what is row of sum 131 072 in Pascal's triangle?
9514 1404 393
Answer:
17
Step-by-step explanation:
If you number the rows starting with 0 for the row that is 1, then row n has sum 2^n. 131072 = 2^17, is the sum of row 17.
row 0: 1
row 1: 1 1
row 2: 1 2 1
...
row 17: 1 17 136 680 2380 6188 12376 19448 24310 24310 19448 ...
Which of the following is equal to the ratio 5cm:5m:0.02km?
A. 10: 400 C. 1: 100: 400
B. 300:2000 D. 10: 500
Answer:
Its C. When you are getting ratios, we need to convert the units too...
The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
We have to given that;
The ratio is,
⇒ 5cm:5m:0.02km
Now, We can simplify the ratio as;
⇒ 5 cm : 5 m : 0.02 km
⇒ 5 cm : 5 x 100 cm : 0.02 x 100000
⇒ 5 cm : 500 cm : 2000 cm
⇒ 1 : 100 : 400
Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ2
find the number of terms in an AP given that it's first and last terms are a & 37a respectively and it's common difference is 4a
Answer:
Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture
. If 2n - 5m + 10 = 0, find
i) m, when n=2 ii) n, when m=5
Answer:
when n = 2; m = 2 [tex]\frac{4}{5}[/tex]
when m=5; n = [tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
2n - 5m + 10 = 0
-10 -10
2n - 5m = -10
2(2) - 5m = -10
4 - 5m = -10
-4 -4
-5m = -14
-5 -5
m = 2 [tex]\frac{4}{5}[/tex]
2n - 5(5) = -10
2n - 25 = -10
+25 +25
2n = 15
2 2
n = [tex]7\frac{1}{2}[/tex]
I WILL MAKR BRAINLIEST + 25 POINTS!!!
Answer:
x = 18
Step-by-step explanation:
so we know that 128* and (6x+20)* have the same value so
128* = (6x+20)*
lets subtract both sides by 20
108* = 6x*
divide both sides by 6:
108/6 = 18
6x/6 = x
18 = x
Have a nice day!
and please tell me if I am wrong. :-)
How many and what type of solutions does 7x^2−4x+3 have? 1 rational solution 2 rational solutions 2 irrational solutions 2 nonreal solutions
Answer:
2 non real solutions.
Step-by-step explanation:
We need to use discriminant,
for ax²+bx+c=0
The discriminat is b²-4ac
If the discriminant is,
→ less than 0, then 0 real solutions
→ equal to 0, then 1 real solutions
→ more than 0, then 2 real solutions
Given that,
7x²−4x+3=0
a=7, b=-4, and c=3
→ (-4)²-4(7)(3)
→ 16-84
→ -68
You can see this is less than 0, then non real solutions. [2 nonreal solutions]
Answer:
Solution given:
7x²-4x+3=0
taking common 7
7(x²+4/7*x+3/7)=0
x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0
(x+2/7)²=-17/49
x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]
x=±√(17)/7-2/7
taking positive
x=√(17)/7-2/7
x=0.39
taking positive
x=-√(17)/7-2/7
x=-0.87
2:unreal number
IF YOU KNKW ABOUT THIS PLEASE HELP .... What is the volume of the cone shown below?
36
10
A. 3007 units
B. 12367 units3
C. 9007 units3
D. 1200 units 3
Answer:
A. 300π units³
Step-by-step explanation:
Formula for volume of a cone = ⅓πr²h
Where,
radius (r) = ½(10) = 5 units
height (h) = 36 units
Plug in the values and find the volume in terms of π
Volume of the cone = ⅓*π*5²*36
Volume of the cone = 300π units³
Hi everyone I am using my sis account can u help me with this plss Milk crates hold 24 bottles of milk each. A milkman needs to deliver 882 bottles of milk. How many crates of milk does he need.
2) A supermarket sold 317 packs of yoghurt in one day. If there are 6 yoghurts in each pack, how many yoghurts were sold?
3)
How much smaller is 63512 than 94291?
4) Which is greater and by how much? 42929 or 91429 _______
10. The time of the first clearance at a letter box is 6.20am, while the second clearance is at 2.15pm. What is the time gap between the two clearances?
The World Cup matches started on March 4, 2003 and ended on April 6, 2003. How long did the matches continue ?
A bus passes the school every 30 minutes. The first bus passes at 7.45am, what time would the next bus pass?
her points are now 1000
Answer:
Step-by-step explanation:
1. 882/24 = 36.75 or 37 crates of milk
2. 3712 x 6 = 1902 yoghurts were sold
3. 94291 - 63512 = 30779
4. 91429 is greater by (91429-42929) = 48500.
10. 7 hours 55 mins
1 month and 3 days or 33 days.
Next bus would pass at 8:15am