Answer:
Here are five number cards.
19
13
10
14
22
Two of the five cards are picked at random.
Work out the probability that the total of the two numbers is more than 32
+
Total marks: 3
The probability that the total of the two numbers is more than 32 is 2/5.
What is Probability ?Probability is the study of likeliness of an event to happen.
The number cards given are 19 , 13 , 10 , 14 , 22
The Probability when two number cards are drawn then th sum is moire than 32 is ?
Probability = Favourable Outcomes / Total Outcomes
Total outcomes when total cards is 5 and no. of cards drawn is 2
= [tex]\rm ^5C_2[/tex]
= ( 5 * 4 * 3 * 2 * 1)/(( 3 * 2 )(2.1))
= 10 outcomes
Favourable Outcomes
= ( 19 , 14) (19,22) (13,22)(14,22)
= 4
Probability = 4/10 = 2/5
Therefore the probability that the total of the two numbers is more than 32 is 2/5.
To know more about Probability
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if LMNO is a rectangle, and MO=54, what is the length of line NP?
answers
a.) 34
b.) 22
c.) 18
d.) 108
e.) 27
f.) cannot be determined
Answer:
27 is the correct answer
Answer:
27
Step-by-step explanation:
it is given 5 and h + 1 are the roots of the quadratic equation x＾2 + (k - 1)x-5 = 0, where h and k are constants. Find the values of h and k.
Answer:
The values of h = -2 and 4
The value of k = -3
Step-by-step explanation:
Putting x=5 in the given equation,
x²+(k-1)x-5=0
or, 5²+(k-1)*5-5=0
or, 25+5k-5-5=0
or, 15+5k=0
or, 5k=-15
or, k=-3
putting the value of k and the other root (h+1) in the given equation,
(h+1)²+(-3-1)(h+1)-5=0
if you solve this, you'll get h = -2 and h = 4.
Answered by GAUTHMATH
pls solve quickly !!
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378
Answer:
a) 11,129
b) 2,625,966
I think that the answer
The following table represents the number of tickets purchased at a movie theatre and the cost of purchase.
# of Tickets Cost
2
$12
4
$24
6
$36
8
$48
The number of tickets purchased varies directly with the total cost of the purchase. Determine the constant of variation.
$24.00
$0.17
$12.00
$6.00
Answer:
$6.00
Step-by-step explanation:
# of tickets is going up by 2
cost is going up by 12
12 / 2 = 6
Which word BEST describes 3x, 5y, and z in the expression 3x − 5y + z?
A) terms
B) products
C) variables
D) coefficients
Answer:
Co-efficients
Step-by-step explanation:
there is a number and variable.
Why would there be a difference between percentages with the Empirical Rule and the actual percentages?
Answer:
Given that [tex]\int\limits^a_b {\frac{1}{2\pi } e^{-1/2} x} \, dx[/tex] is not the easiest equation to solve, and that
the values at the convenient ± 1 sigma,± 2 sigma,± 3 sigma are irrational
using the "rule-of-thumb" "empirical rule" is typically "close enough"
given that the whole probability analysis by definition has some uncertainty in it
Step-by-step explanation:
The percentages of a normal distribution data lies within three standard deviations of its mean for empirical rule while it's definite for actual percentages.
What is the empirical rule?The empirical rule is also referred to as the 68-95-99.7 rule and it can be defined as a rule in statistics which states that:
The middle 68% of a normal distribution would be within one standard deviation of its mean (µ ± σ).The middle 95% of a normal distribution would be within two standard deviations of its mean (µ ± 2σ).The middle 99.7% of a normal distribution would be within three standard deviations of its mean (µ ± 3σ).In Statistics, there is a difference between percentages calculated by using the empirical rule and the actual percentages because a normal distribution data lies within three standard deviations of its mean for the former but it is definite for the latter.
In conclusion, the empirical rule is more important to researchers and statistician because it can be used to determine outcomes and gain insight even when all the data aren't available.
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find the next two terms. & choose the correct type of sequence.
Answer:
why arent you doing the quiz yourself do it yourself thats cheating.
Step-by-step explanation:
Does someone know what the answer is? Please, help.
Answer:
III
Step-by-step explanation:
you got this, man! good luck [:
What will be the smallest and largest no that when rounded off to thousand their answer is
a) 785000
b) 4528000
What will be the smallest and largest no that when rounded off to hundreds the answer is
a) 23700
b) 429900
What will be the smallest and largest no that when rounded off to tens the answer is
a) 6450
b). 88890
Answer:
A,785000
B,429900
A,6450
Answer:
1a- 784500 & 785499
b- 4528499 & 4527500
2a- 23749 & 23650
b- 429949 & 429850
3a- 6445 & 6454
b- 88885 & 88894
3 A(3, 1 1/2), B(- 5, - 3) and C(7, - 2) are the vertices of triangle ABC. What are the coordinates of M, the midpoint of BC and of Q, the midpoint of AM?
Last year, of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of business owners. a. How many business owners in the survey planned to provide a holiday gift to their employees this year
How do I solve this?
Answer:
Step-by-step explanation:
First, let's find the area of the triangle. The Area of a triangle can be modeled as
b x h x 1/2; base = 6 and the height equals 8. 6x8=48 then don't forget to divide by 2. 48/2= 24
To find the area of a half-circle, you first need to find the area of the whole circle. Whole circle area equation = r^2 times pi. The diameter is 8 and the radius is 1/2 times the diameter, therefore the radius = 4. 4^2= 16
16pi= approximately 50.24
50.24/2= 25.12
25.12 + 16 = 41.12
The area of the figure is approximately 41.12 ft^2
Hope this helps and please mark me brainliest, it really helps!
:)
Answer:
49.12 ft²
Step-by-step explanation:
The compound figure includes both a right angled triangle and a semi-circle. To find the area of the figure, it is best to find the area of both shapes then add them.
Area of semi-circle = (πr²) ÷ 2
= (3.14 × 4 × 4) ÷ 2
= 50.24 ÷ 2
= 25.12 ft²
Area of triangle = [tex]\frac{1}{2}[/tex]bh
= [tex]\frac{1}{2}[/tex] × 6 × 8
= 24 ft²
Area of compound figure = Area of semi-circle + Area of triangle
= 25.12 + 24
= 49.12 ft²
Pls help me with this equation
Answer:
x = 20
Step-by-step explanation:
Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent
∠ CBD = ∠ BCD = 40° , then
∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle
Sum the 3 angles of Δ ACD and equate to 180
20 + 100 + x + 40 = 180
160 + x = 180 ( subtract 160 from both sides )
x = 20
PLEASE HELP!!!
Write the factored form of the least common denominator needed to simplify this expression
Answer:
(g+5)x(g-3)
Step-by-step explanation:
a que taxa mensal devo empregar um capital de r$ 20.000 para que no fim de 10 meses renda 18.000 de juros
Answer:
Following are the solution to the given question:
Step-by-step explanation:
[tex]\to 18000=2000 \times i \times 10 \\\\\to 18000=200000 \times i\\\\\to i=\frac{18000}{200000}\\\\\to i= \frac{18}{200}\\\\ \to i= \frac{9}{100}\\\\ \to 0.09\\\\[/tex]
Calculating the percentage:
[tex]\to 0.09\times 100=9\%[/tex]
You decide to invest $800 for 6 years and you have a choice between two accounts. The first
pays 7% per year compounded monthly. The second plan pays 6.85% per year, compounded
continuously. Which is the better investment? Explain. *
Answer:
the first plan is better
this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher
2. the future value of option 1 is higher than that of option 2
Step-by-step explanation:
The effective annual rate can be used to determine which option is better
the option with the higher effective annual rate is the better option
Effective annual rate = (1 + APR / m ) ^m - 1
M = number of compounding
(1 + 0.07/12)^12 - 1 = 7.23%
option 2
EAR = e^r - 1
2.7182818^0.0685 - 1 = 7.09%
2nd method of determining the better investment is to determine the future value of each option
Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08
option 2 = 800e^(0.0685 x 6) = 1206.60
option 1 has the higher future value
Answer:6757.62
Step-by-step explanation:
use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.
What is the rate of change of the function?
Answer:
3
Step-by-step explanation:
the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.
Hope this helps
What's More
Place Me baby!
1. Decide where each event would be located on the scale above. Place the each event on the appropriate place on the probability scale.
Event:
A. You will see a live dinosaur on the way home from school today.
B. A solid rock dropped in the water will sink.
C. A round disk with one side red and the other side yellow will land yek when flipped. D. A spinner with four equal parts numbered 1-4 will land on the 4 on the
E. Your full name will be drawn when a full name is selected randomly containing the full names of all of the students in your class.
F. A red cube will be drawn when a cube is selected from a bag that he cubes and five red cubes.
G. Tomorrow the temperature outside will be -250 degrees. I need your answer
Answer:
i can try this!
Step-by-step explanation:
first thing to remember.....
the probability of anything can never be zero!
A - would definitely be very low ...probably less than 1% but not zero
b - would be almost 100%...not quite 100 as we dont know how deep is the water
c - around 50% over a given period
d - 25% over time
e - count the number of people in your class then divide by 100 this is your percentage chance
f - 50% over time
g - somewhere very close to zero ...but not quite zero
5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).
Answer:
The coordinates of the point N is (2,3)
Step-by-step explanation:
For us to find the midpoint between two points
We use the midpoint formula which is;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
We start by finding the midpoint of AB to get the coordinates of the point M
A(-1,3) and B(7,-3)
(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)
Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N
C(1,6) and M (3,0)
(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
rewrite the following linear equations in general form
can someone help explain how to do this?
Answer:
5y = x +15
Step-by-step explanation:
here you have to multiply both sides with 5 to make it a general form ,
5(y) = 5(1/5x) + 5(3)
5y = x + 15
Got a little help from app called Gauthmath. It got concept videos and tutors. You can check it on Play Store and App Store. Really good app in my opinion.
Hope this helps. :)
Which statement correctly compares the two functions? A. They have the same end behavior as x approaches [infinity], but they have different x- and y-intercepts. B. They have the same x-intercept and the same end behavior as x approaches [infinity]. C. They have the same y-intercept and the same end behavior as x approaches [infinity]. D. They have the same x-intercept and the same y-intercept.
Answer:
A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.
Step-by-step explanation:
The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.
Is -2 a solution to 4x^(3)-x^(2)+16x-4
Answer:
Not a solution
Step-by-step explanation:
In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:
[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]
[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]
[tex]-32-40\stackrel{?}{=}0[/tex]
[tex]-72\neq0[/tex]
Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]
Why should money be your motivation?
[tex] \huge{ \green{ \boxed{ \boxed{ \sf{ \blue{hi}}}}}}[/tex]
My AnswerMoney is a crucial incentive to work motivation. It is a medium of exchange and the means by which employees can purchase things to satisfy their needs and desires. It also serves as a scorecard by which employees assess the value that the organization places on their services
#CarryonLearningBrainliest please
Let t=4 and u=6+2i. Find t+u.
The answer for the following question is 12i.
Answer:
t + u = 10 + 2i
Step-by-step explanation:
t + u
= 4 + 6 + 2i ← collect like terms
= 10 + 2i
Brainly to whomever solves for x and y. Will report scams and the unhelpful "what" answers!
Answer:
[tex]x=\frac{125}{6},\\y=11[/tex]
Step-by-step explanation:
The angles marked [tex]7x-15[/tex] and [tex]5x-5y[/tex] are co-interior angles. Since all co-interior angles are supplementary (add up to 180 degrees), we have the following equation:
[tex]7x-15+5x-5y=180[/tex]
The two angles marked [tex]4x+4y[/tex] and [tex]2x+y[/tex] are also co-interior angles, thus must also add to 180 degrees.
Therefore, we have the following system of equations:
[tex]\begin{cases}7x-15+5x-5y=180,\\4x+4y+2x+y=180\end{cases}[/tex]
Combine like terms:
[tex]\begin{cases}12x-5y-15=180,\\6x+5y=180\end{cases}[/tex]
Divide the first equation by -2 and add both equations to get rid of [tex]x[/tex]:
[tex]\begin{cases}-6x+2.5y=-97.5,\\6x+5y=180\end{cases},\\-6x+6x+2.5y+5y=82.5,\\7.5=82.5,\\y=\boxed{11}[/tex]
Now substitute [tex]y=11[/tex] into any equation with [tex]x[/tex]:
[tex]6x+5y=180,\\6x+5(11)=180,\\6x+55=180,\\6x=125,\\x=\boxed{\frac{125}{6}}[/tex]
Verify that these two solutions work:
[tex](7(\frac{125}{6})-15)+(5(\frac{125}{6})-5(11))=180\:\checkmark,\\\\(4(\frac{125}{6})+4(11))+(2(\frac{125}{6})+11)=180\:\checkmark[/tex]
The perimeter of the square below is 36 yards. What is the length of each side?
Answer:
A square has all its four sides equal. So the length of one side is equal to the perimeter devided by four
Answer:
9 yards
Step-by-step explanation:
A square has 4 congruent sides
Given the perimeter, the sum of the 4 sides is 36 yards, then
length of side = 36 ÷ 4 = 9 yards
A CD player holds 5 CDs, and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favourite song is played first.
(Give your answer as a fraction)
Answer:
1/(5*12) = 1/60 = .016 = 1.6%
Step-by-step explanation:
Could someone please help me if you don’t mind?
Answer:
v = lhw
Step-by-step explanation:
[tex]\frac{v}{lh} = w[/tex]
v = lhw
Which value of y makes the equation 55/y = 5 true?
Answer:
11
Step-by-step explanation:
55/11=5
