Answer: 0.0000842890
Step-by-step explanation:
Given that :
Number of cards in a deck = 52
Number of hearts in a deck = 13
Probability of being dealt 6 hearts :
Probability = (required outcome / Total possible outcomes)
Required outcome = choosing 6 hearts from a possible 13
13C6:
Recall : nCr = (n! / (n-r)!r!)
13C6 = 13! / (13-6)!6!
13C6 = 13! / 7!6!
13C6 = (13*12*11*10*9*8)/(6*5*4*3*2*1)
13C6 = 1235520 / 730
13C6 = 1716
Total possible outcomes :
52C6 = 52! / (52-6)!6!
52C6 = 52! / 46!6!
52C6 = (52*51*50*49*48*47)/(6*5*4*3*2*1)
52C6 = 14658134400 / 720
52C6 = 20358520
Hence,
P(6 hearts) = 1716 / 20358520
P(6 hearts) = 0.0000842890
Which of the following is not a characteristic of permanent life insurance?
O A. Paid out when you die
O B. Must be renewed periodically
O C. Lifetime coverage
O D. Ability to access cash value
The statement's ability to access cash value is not characteristic of permanent life insurance.
We have given that
The characteristic of permanent life insurance
We have to determine which statement is not correct.
A. Paid out when you die
B. Must be renewed periodically
C. Lifetime coverage
D. Ability to access the cash value
What is the characteristic of permanent life insurance?
Permanent life insurance refers to coverage that never expires, unlike term life insurance, and combines a death benefit with a savings component.
The two primary types of permanent life insurance are whole life and universal life.
Permanent life insurance policies enjoy favorable tax treatment.
Therefore the statement's ability to access cash value is not characteristic of permanent life insurance.
To learn more about the permanent life insurance visit:
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Answer:
B Must be renewed periodically
Step-by-step explanation:
Please get back to ASAP I really need help with this
Mrs. Hopkins made four different pies for Thanksgiving dinner at her house. Each pie was the same size.
She cut the blueberry pie into 6 equal slices, the apple pie into 5 equal slices, the peach pie into 3 equal
slices, and the chocolate pie into 4 equal slices.
Her grandchildren. Alyssa, Bobby, Caitlin, and Dylan, each had one slice of pie but only ate a portion of
that slice. Each grandchild chose a different kind of pie.
Alyssa had the largest slice available and ate 1/4 of it
Bobby had the smallest slice available and ate 3/4 of it.
(The slice Caitlin had was larger than the slice Dylan had.)
Caitlin ate 1/2 of her slice.
• Dylan ate 2/3 of his slice.
What kind of pie did each person choose? And what fraction of the total pie did each person eat?
Answer:
Step-by-step explanation:
Please give me the correct answer.
Answer:
subtract 40 from both sides
Answer:
You subtract 40 which will equal -6 and now you divide -6/4n and the answer is n=-1.5
Step-by-step explanation:
What is The answer to -3x+14-11+11x
Answer:
8x+3
Step-by-step explanation:
Apply the Distributive Property to the following expression.
4(x+10)
A.4x + 14
B.4x + 10
C.4x + 40
D.x+ 40
Is it possible to prove DOG is con to GED?
Answer:
Yes
Step-by-step explanation:
The angles are identical, so they are congruent.
Hope I helped! Plz leave a comment and a rating!
Find the graphing slope through the giving points (0,1) m=4
Answer:
y=mx+b
y=4x+1
slope: 4
y-intercept: 1
Step-by-step explanation:
hopefully this helps :)
8^1/6 x 2^x= 32^1/2
Work out the exact value of x.
Answer:
8^1/6 x 2^x= 32^1/2
Step-by-step explanation:
1/6 x 2^x= 32^1/2
Find the time it takes for a rocket following the path, h(x) = - 3x2 + 18x, to reach a maximum. In your final answer, include all of your calculations and a verbal explanation of the process that you followed in your solution.
Answer:
it takes 3 seconds for it to get the the maximum height
Step-by-step explanation:
well this is easy bc it is negative so we know it goes down, meaning the vertex will be at the top/highest point.
so all u gotta do is find the vertex which is x=-b/2a
now we gotta plug the numbers in and solve
h(x)=-3x^2+18x
x=-18/2(-3)=-18/-6=3
voilà there is the answer, 3 seconds
Which expression is equivalent to 4−7?
A). 4 + 7
B). 4−( −7)
C). 4+(−7)
D). 7+(−4)
Answer:
-3
Step-by-step explanation:
Express this number in scientific notation. 0.0048
Answer
4.8 x 10^-3
Step-by-step explanation:
What is the rate of change ? Please help!
Answer:
It is 1000
Step-by-step explanation:
To find the unit rate, we divide y/x. In this case our y is the height (ft) and the x is the time(min).
If we divide 1000/1, we get 1000
If we divide 2000/2, we get 1000
and so on...
Hope it helps :^)
which geometric series converges?
Answer:
Option (1)
Step-by-step explanation:
In a geometric series,
[tex]\sum_{n=0}^{\infty}ar^n=a+ar^1+ar^2+....[/tex]
Here r = [tex]\frac{a_n}{a_{n-1}}[/tex]
For |r| < 1, series will converge.
For |r| > 1, series will diverge.
Option (1)
Given geometric series is,
[tex]\frac{1}{2}+\frac{1}{4}+ \frac{1}{8}+ \frac{1}{16}.......[/tex]
Common ratio = [tex]\frac{\frac{1}{4}}{\frac{1}{2} }[/tex]
= [tex]\frac{1}{2}[/tex]
Since, [tex]\frac{1}{2}<1[/tex]
Series will converge.
Option (2)
[tex]\frac{1}{2}+1+2+4+......[/tex]
r = [tex]\frac{1}{\frac{1}{2}}=2[/tex]
Since, 2 > 1,
Series will diverge.
Option (3)
[tex]\frac{1}{2}+ \frac{3}{2}+ \frac{9}{2}+ \frac{27}{2}+......[/tex]
Common ratio 'r' = [tex]\frac{\frac{3}{2} }{\frac{1}{2} }=3[/tex]
Since, 3 > 1,
Series will diverge.
Option (4)
[tex]\frac{1}{2}+3+18+108+.....[/tex]
Common ratio 'r' = [tex]\frac{3}{\frac{1}{2}}=6[/tex]
Since, 6 > 1
Series will diverge.
Therefore, Option (1) will be the correct option.
If 1/4 is .25, what is the mixed number 6 1/4 in a decimal form?
PLZ HELP I'LL GIVE BRAINLIEST!
Answer:
6.25 is the answer
Step-by-step explanation:
PLEASE MARK BRAINLIESTFourteen minus four times y is equal to y increased by 4
Answer:
y = 2
Step-by-step explanation:
14-4y=y+4
5y = 10
y = 2
Answer:
2
Step-by-step explanation:
14 - 4y = y+4
5y = 10
y =2
Find the missing measures. Write your numerical answers only with a comma in between.
Answer:
m∠T = 72°
m∠U = 54°
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of two equal sides of an isosceles triangle are equal in measure.
By this property, in the given triangle STU,
Since, ST ≅ TU,
m∠S = m∠U = 54°
Since, sum of interior angles of a triangle is 180°
m∠T + m∠S + m∠U = 180°
m∠T + 54° + 54° = 180°
m∠T = 180° - 108°
m∠T = 72°
1. One week a student exercised 3 hours at school and 1/4 hour at home. If 1/4 of the student's total exercise came from playing basketball, how much time did the student spend playing basketball that week?
2. One week a student exercised 2 hours at school and 1/4 hour at home. If 1/4 of the student's total exercise came from playing soccer, how much time did the student spend playing soccer that week?
Answer:
1- The student spent 48 minutes and 45 seconds playing basketball.
2- The student spent 33 minutes and 45 seconds playing soccer.
Step-by-step explanation:
1- If during a week the student exercised for 3 hours at school, and for 1/4 hour at home, it could be said that the student exercised for a total of 195 minutes (60 x 3 + 60/4) . Now, if I exercise 1/4 of that time playing basketball, the student spent 48 minutes and 45 seconds playing that sport (195/4).
2- If during a week the student exercised for 2 hours at school, and for 1/4 hour at home, it could be said that the student exercised for a total of 135 minutes (60 x 2 + 60/4) . Now, if I exercise 1/4 of that time playing basketball, the student spent 33 minutes and 45 seconds playing soccer (135/4).
The point (3, y) lies on the line y = 4x + 5. Find the value of y.
Answer:
y = 17
Step-by-step explanation:
y = 4x + 5
since the x value is 3 you substitute it in
y = 4(3) +5
y = 12 +5
y = 17
mark me brainliest by clicking the crown at the bottom of this answer : )
How do you graph the solution to inequality? y≤−2x+3
Answer:
Step-by-step explanation:
Y would equal 8 so then 2x+3 would be 10 so you multiply and get your answer!
Can somebody solve number 5
Rock that is formed by melting then cooling is which type of rock?
Question 9 options:
A Metamorphic
B Igneous
C Sedimentary
D Mineral
Answer:
B Igneous
Step-by-step explanation:
Igneous rock is formed by melting and then cooling.
Answer:
B
Step-by-step explanation:
Igneous
Finish the distance formula. | P 1 P 2 | = d =
Answer:
d=2P^2
Step-by-step explanation:
Answer:
sqrt (x2 - x1)^2 + (y2 - y1)^2
select all numbers equivalent to -1 ?
Answer:
-1 / 0 + -1 and the list goes on
Step-by-step explanation:
The picture is up there thank you
Answer
14(1+3)
Explanation
The greatest common factor of 14 and 42 is 14.
Divide 14 and 42 each by 14.
14÷14=1
42÷14=3
So 14+42 factored is 14(1+3).
You can also check your answer.
1+3=4
14×4=56
-----
14+42=56
An artist sculpted a scale model of a giraffe for the zoo gift shop. The artist used the scale 1 inch: 4 feet to create the scale model giraffe. The actual giraffe at the zoo is 20 feet tall.
How tall is the scale model giraffe in inches?
Enter your answer in the box.
inches
Answer:
The scale model giraffe is 5 inches tall.
Step-by-step explanation:
Since the artist sculpted the figure of the giraffe with a scale of 1 inch = 4 feet, and that the real giraffe that lives in the zoo is about 20 feet, to determine the size of the sculpted giraffe to scale it is necessary to perform the following calculation:
20/4 = X
5 = X
Thus, the scale sculpted giraffe that will be sold in the gift shop measures 5 inches.
PLEAASSSE HELP ASAP I WILL MARK →BRAINLIEST← AND 5 STARS!!!
Marni has 11 ounces of walnuts. She needs 6 ounces for one recipe and 14\frac {1}{4}41 pound for another. There are 16 ounces in 1 pound.
Does she have enough?
Answer:Yes she has enough
Step-by-step explanation:
Total ounces=11
1st recipe=6 ounces
2nd recipe=1/4 ounces
1 pound =16 ounces
= 1/4 pounds × 16 ounces/1 pound
= 4 ounces
First recipe + Second recipe
= 6 ounces + 4 ounces
= 10 ounces.
10 ounces of walnuts and Marni has 11
Triangles ABC and DFG are similar.
Which proportion can be used to find the value of DG⎯⎯⎯⎯⎯⎯?
157=5DG
5DG=156
DG15=57
57=15DG
Answer:
5DG=156 I think this is but I am not sure bro
Answer:
5/DG = 15/6
Step-by-step explanation:
Any two lines lie in exactly one plane true or false
Answer:
true
Step-by-step explanation:
7ft = __ inches. Show work
Answer:
Step-by-step explanation:
12 inches is in a foot
10 x 7= 70
2 x 7= 14
70+14=84
12x + 4x + 25y + 15y A. 2(8x + 10 B. 4(4x + 10) C. 5(3x + 5y D. 8(2x + 5y
Answer:
The answer is D.
Answer:
D. [tex]8(2x + 5y)[/tex]
Step-by-step explanation:
STEP 1: Add 12x and 4x.
[tex]16x+25y+15y[/tex]
STEP 2: Add 25y and 15y.
[tex]16x+40y[/tex]
STEP 3: Factor 8 out of 16x+40y.
[tex]8(2x+5y)[/tex]