Noel is playing a game where he draws one playing card each out of two stacks of 5 cards. The table below shows all possible sums for the two numbers on the cards.
Answers
Noel is more likely to draw two cards with a sum that is greater than 13.
To determine which outcome is more likely, let's count the number of combinations that meet each criterion.
1. **Sum that is a multiple of 3**:
- Possible sums: 3, 6, 9, 12
- Counting the combinations:
- 3: 1 combination
- 6: 2 combinations
- 9: 3 combinations
- 12: 4 combinations
- Total combinations: 1 + 2 + 3 + 4 = 10 combinations.
2. **Sum greater than 13**:
- Possible sums: 14, 15, 16, 17, 18, 19, 20, 21, 22, 23
- Counting the combinations:
- 14: 1 combination
- 15: 2 combinations
- 16: 2 combinations
- 17: 3 combinations
- 18: 2 combinations
- 19: 3 combinations
- 20: 2 combinations
- 21: 3 combinations
- 22: 1 combination
- 23: 1 combination
- Total combinations: 1 + 2 + 2 + 3 + 2 + 3 + 2 + 3 + 1 + 1 = 20 combinations.
Comparing the total combinations, we see that there are more combinations with a sum greater than 13 (20 combinations) than there are combinations with a sum that is a multiple of 3 (10 combinations). Therefore, Noel is more likely to draw two cards with a sum that is greater than 13.
The probable question may be:
Noel is playing a game where he draws one playing card each out of two stacks of 5 cards. The table below shows all possible sums for the two numbers on the cards.
3, 6, 7, 9, 1
1 = 4, 7, 8, 10, 12
4 = 7, 10, 11, 13, 15
6 = 9, 12, 13, 15, 17
8 = 11, 14, 15, 17, 19
12 = 15, 18, 19, 21, 23
Is Noel more likely to draw two cards with a sum that is a multiple of 3 or two cards with a sum that is greater than 13?
Noel is more likely to draw two cards with a sum greater than 13, as there are 37 combinations compared to 11 combinations for multiples of 3.
To determine whether Noel is more likely to draw two cards with a sum that is a multiple of 3 or two cards with a sum that is greater than 13, we can analyze the table provided.
1. Sum that is a multiple of 3:
- There are several combinations of card values that result in a sum that is a multiple of 3. We can count these combinations from the table:
- (3, 4), (3, 7), (3, 9), (3, 12)
- (6, 7), (6, 10), (6, 12)
- (7, 8), (7, 11)
- (9, 10), (9, 13)
- (11, 12)
2. Sum greater than 13:
- We need to count the combinations of card values that result in a sum greater than 13:
- (6, 8), (6, 10), (6, 11), (6, 12), (6, 13), (6, 15), (6, 17)
- (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 15), (7, 17), (7, 19)
- (9, 10), (9, 11), (9, 12), (9, 13), (9, 15), (9, 17), (9, 19)
- (11, 12), (11, 13), (11, 15), (11, 17), (11, 19)
- (12, 13), (12, 15), (12, 17), (12, 19)
- (13, 15), (13, 17), (13, 19)
- (15, 17), (15, 19)
- (17, 19)
After counting the combinations, we can compare the number of combinations in each category:
1. Sum that is a multiple of 3:
- Total combinations: 11
2. Sum greater than 13:
- Total combinations: 37
Comparing the totals, we can see that Noel is more likely to draw two cards with a sum that is greater than 13, as there are more combinations resulting in this outcome.
Complete Question:
Related Questions
Convert 15/9 to a decimal. A. 1.64 B. 1.67 C. 1.66 D, 1.69
Answers
If we're rounding to 2 decimal places, 6 will round up to 7
Therefore, B. 1.67 is your answer
how can you use place -value blocks and a hundred chart to show the number that is ten more than 43? what is the number
Answers
The number that is ten more than 43 is 53
Represent the number with x.
A number x that is 10 more than 43 is then calculated using the following equation
x - 43 = 10
Add 43 to both sides of the equation
x - 43 + 43 = 10 + 43
Evaluate the sums
x = 53
Hence, the number that is ten more than 43 is 53
See attachment for the place value blocks
Read more about place values at:
https://brainly.com/question/12386995
To find the number ten more than 43, use place-value blocks by adding a tens block to the existing four tens and three ones blocks to get 53. On a hundred chart, locate the number 43 and move one row down to arrive at 53, which is ten more than 43.
Explanation:The question asks how to use place-value blocks and a hundred chart to show the number that is ten more than 43. To illustrate this using place-value blocks, you would start with 4 tens blocks and 3 ones blocks to represent the number 43. Then, you would add one more tens block to represent the addition of ten. After adding this block, you would have a total of 5 tens blocks and 3 ones blocks, which represents the number 53.
On a hundred chart, first find the number 43. Then, since each row on a hundred chart represents ten numbers, you would move one row down to find the number that is ten more than 43. This would take you to the number 53, which is directly below 43 on the chart.
Therefore, the number that is ten more than 43 is 53.
Granny has some stickers.if she gives 6 stickers to each of her grandchildren,she will have 5 stickers left.if she gives 7 stickers to each of her grandchildren,she will need 2 more stickers.how many grandchildren does granny have?
Answers
Lurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50 + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurnda pay if she orders 8 boxes of cards
Answers
Answer:
$55
Step-by-step explanation:
Put 8 where n is in the equation and do the arithmetic.
cost = $6.50·n + 3
= $6.50·8 + 3 = $52 + 3
cost = $55
Jackie has a drawer with 20 buttons, each of different color. How many different ways can she choose three buttons for her bookbag?
Answers
1st - she as 20 different possible buttons
2nd - she would have 19 possible buttons
3rd-she would have 18 possible buttons
20 x 19 x 18=6840 possible ways to choose these buttons.
Brandon is twice as old as his brother Ryan. Ryan is one-eighth the age of their father. If their father is 52 years old, how old are Ryan and Brandon? (Please show work)
Ryan ________
Brandon ________
Answers
52 ÷ 8 = 6.5 6 years and 6 month old.
Brandon is 6.5 × 2
Brandon is 13 years old
Answer:
Brandon is 13 and Ryan is 6 and 1/2
Step-by-step explanation
Write the first four terms in the multiplication pattern given by the formula:
10 · 5n
Answers
an=10 * 5n---------------> an=50*n
then
for n=1
a1=50*1=50
for n=2
a2=50*2=100
for n=3
a3=50*3=150
for n=4
a4=50*4=200
the answer is
the first four terms are [50,100,150,200]
For her cell phone plan Heather pays $30 per month plus 0.05 protects she wants to keep her bill under $60 per month with any quality represents the number of texts T Heather can't spend each month while staying within her budget
Answers
Let the number of texts be represented by T.
The we get the following function of total cost:
Total cost = 30 + 0.05T.
Since Heather wants her bill to be under $60, the total cost must be smaller than 60. We get the following
30 + 0.05T < 60
Subtract 30 from both sides.
0.05T < 30
Divide by 0.05
T < 600. Therefore Heather can send a maximum of 600 texts (and then she pays a bill of $60)
a golf pro shop sells two types of shirts, the first for 100$ each and the other for 60$ each. last month the shop sold 50 of these shirts for a total of 4600$ how many 100$ shirts did they sell?
Answers
In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perimeter of ∆ABC; 2) The area of ∆ABC; 3) The height to the hypotenuse.
Answers
AC: 12
AB: 20
perimeter :
[tex]12 + 16 + 20 = 48[/tex]
area:
[tex](12 \times 16) \div 2 = 192 \div 2 = 96[/tex]
hope this helps
given abcd ac = 22 and ae= 2x-5 find the value of x
Answers
we know that
if AC=22
then AE=AC/2----------> 22/2----------> AE=11
so
2x-5=11----------> 2x=16---------> x=16/2--------> x=8
the answer is x=8
The answer to this question is x=8... APEX
find × if m<1=2×+10 and m<2=3×-6
Answers
2x +10 = 3x -6
16 = x . . . . . . . . . . . add 6-2x
Selection B is appropriate.
Which expression is equivalent to:
25a + 5b - 13
Answers
5(5a + b) - 13 is your answer
using the distributive property, we can distribute 5 to all terms within the parenthesis:
5(5a + b) - 13 = 25a + 5b - 13
5(5a) = 25a
5(b) = 5b
25a + 5b - 13 = 25a + 5b - 13 (True)
hope this helps
Answer:
The correct option is 4.
Step-by-step explanation:
The given expression is
[tex]25a+5b-13[/tex]
In option (1), the given expression is
[tex]20a+5a+b-13[/tex]
Combine like terms.
[tex]25a+b-13[/tex]
This expression is not equivalent to the given expression.
In option (2), the given expression is
[tex]20(5a+5b)-13[/tex]
Using distributive property.
[tex]100a+100b-13[/tex]
This expression is not equivalent to the given expression.
In option (3), the given expression is
[tex]30ab-13[/tex]
This expression is not equivalent to the given expression.
In option (4), the given expression is
[tex]5(5a+b)-13[/tex]
Using distributive property.
[tex]25a+5b-13[/tex]
This expression is equivalent to the given expression.
Therefore correct option is 4.
here goes another question lol oops
Answers
[tex] - (5r - 3s + 1) = - 5r + 3s - 1[/tex]
Move the negative into the brackets,
positive becomes negative while two negatives make a positive.
simplify....
-5r + 3s - 1
2. -5r + 3s + 1
3. -5r + 3s - 1
student 1 and student 3 have the equivalent equations.
Your answer is A. Student 1 and Student 3.
The ratio of french fries to packets of ketchup in Philip's bag is 8:1. What does this mean? A. There are 7 more french fries than packets of ketchup. B. For every 8 french fries, there is 1 packet of ketchup. C. For every 8 packets of ketchup, there is 1 french fry. D. There are 8 more french fries than packets of ketchup.
Answers
In the question fries go firs and then ketchup, in tge rat 8 goes first and then 1
so if ratio of pens to book is 5 to one (5:1), than it means that for every 5 pens there is one book.
Write an equation that represents the data in the table x 5,10,15,20 y 17,22,27,32
Answers
17-5=12
22-10=12
27-15=12
32-20=12
I need help!!! Pleasssse!!!!
The ratio of the length to the width to the height of a rectangular box of cereal is 6:2:7. The sum of the length and the width of the box is 24 centimeters. Find the surface area of the box of cereal
Answers
18 cm : 6 cm : 21 cm
The surface area (S) is given in terms of length (L), width (W), and height (H) by
S = 2(LW +H(L+W))
= 2((18 cm)*(6 cm) +(21 cm)*(18 cm +6 cm))
= 2(108 cm² +(21 cm)*(24 cm))
= 1224 cm²
The surface area of the box of cereal is 1224 cm².
You are due a $750 paycheck at the end of the week (Friday), but want to get your hands on the cash on Monday. A payday lender offers to make this deal with you for a fee of 2% of the paycheck. What is the rate you are paying for this service? Assume a 365-day year.
Answers
Use R = P/B
R = 0.02/750
Can you finish?
.. 15/(735*(4/365)) ≈ 186.2%
What is the area of a triangle that has a base of 15 1/4 in and a height of 18 in?
Answers
so 1/2 * 18 * 15.25 = 9*15.25 = 137.25
don't forget units so the answer is 137.25 inches squared
The area of the triangle is half the product of its base and height. The area of the triangle is 137.25 in².
What is the area of the triangle?The area of the triangle is half the product of its base and height. It is given by the formula,
[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]
As it is given that the base of the triangle is 15¹/₄ inches, while the height of the triangle is 18 inches. Therefore, the area of the triangle is,
[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]
[tex]= \dfrac{1}{2} \times 15(1/4)\times 18\\\\\\ = \dfrac{1}{2} \times \dfrac{(15\times 4)+1}{4} \times 18\\\\\\= \dfrac{1}{2} \times \dfrac{61}{4} \times 18\\\\\\=137.25\rm\ in^2[/tex]
Hence, the area of the triangle is 137.25 in².
Learn more about the Area of the triangle:
https://brainly.com/question/22457738
gloria went to the mall and spent 50 minutes shopping. then she. had lunch for 30 minutes. if gloria arrived at the mall at 11:00 a.m at what time did she finished lunch?
Answers
11:50am+ 30 minutes = 12:20
Gloria went to the mall and spent 50 minutes shopping. Then she had lunch for 30 minutes. If Gloria arrived at the mall at 11:00 A.M., at what time did she finish lunch?
The mean is always one of the data values
Answers
This is false.
The mean is the average of a set, and it doesn't have to be a number in the set.
Hope this helps!
If the area of a triangle is 5 5/6 feet and the base is 5 feet. What is the height?
Answers
Prepare 350g of a 2% lidocaine cream using a 1% lidocaine cream a 5% lidocaine cream
Answers
5% lidocaine -y g, 0.05y pure lidocaine
(1)0.01x+0.05y=350*0.02
0.01x g we get from1% lidocoine and 0.05y g we get from 5% lidocoine
(2) x+y=350
x g is mass 1% lidocoine, we combine it with y g 5%,
so we get x+y, and we need 350g,
so x+y should be equal 350, x+y=350
we get system of 2 equations that we need to solve to find x and y
(1)0.01x+0.05y=350*0.02
(2) x+y=350
we can solve it by substitution, find x from (2) equation
x=350-y, substitute it into (1)
instead of x we put (350-y)
0.01(350-y)+0.05y=7
3.5-0.01y+0.05y=7
0.04y =3.5
y=87.5g 5% lidocaine
b)x=350-87.5=262.5 g 1% lidocaine
c) 350g =350000 mg
Define x and y:
------------------------------------------------------------------
Let x be the amount of 1% lidocaine needed.
Let y be the amount of 5% lidocaine needed.
------------------------------------------------------------------
Construct Equations:
------------------------------------------------------------------
x + y = 350
0.01x + 0.05y = 0.02 x 350
0.01x + 0.05y = 7
------------------------------------------------------------------
Solve x and y:
------------------------------------------------------------------
x + y = 350 ------------- (Equation 1)
0.01x + 0.05y = 7 ------------- (Equation 2)
------------------------------------------------------------------
From equation 1:
------------------------------------------------------------------
x + y = 350
x = 350 - y
------------------------------------------------------------------
Substitute x = 350 - y into equation 2:
------------------------------------------------------------------
0.01(350 - y) + 0.05y = 7
3.5 - 0.01y + 0.05y = 7
3.5 + 0.04y = 7
0.04y = 7 - 3.5
0.04y = 3.5
y = 87.5
------------------------------------------------------------------
Substitute y = 87.5 into equation 1:
------------------------------------------------------------------
x + y = 350
x + 87.5 = 350
x = 350 - 87.5
x = 262.5
------------------------------------------------------------------
Find x and y:
------------------------------------------------------------------
x = 262.6g (5% lidocaine cream)
y = 87.5g (1% lidocaine cream)
------------------------------------------------------------------
Convert 350g to milligram:
------------------------------------------------------------------
350g = 350 x 1000 mg
350g = 350 000mg
------------------------------------------------------------------
Answer:
(a) Amount of 5% lidocaine needed = 87.5g
(b) Amount of 1% lidocaine needed = 262.g
(c) 350g = 350 000mg
------------------------------------------------------------------
Using an algebraic rule, describe a translation 2 units to the left.
Answers
point (x,y) translated 2 units to the left will give the point (x-2,y)
(x,y) = (x-2,y)
Explanation:
We will apply the translation on a given point.
Suppose that we have a point with coordinates (x,y).
We want to translate this point 2 units to the left. This means that we will move this point 2 units to the left.
Doing this, we will find that:
the x-value of the coordinate is decreased by 2
the y-value of the coordinate did not change as no translation occurred in the vertical axis.
Therefore:
a point (x,y) can be translated two units to the left to be (x-2 , y)
Hope this helps :)
(x,y)->(x-2, y)
For a function f(x), f(x)->f(x-h) where h is displacement to the right.
=>
f(x)->f(x+2)
In the following function defined by an equation in the form y=ax^2+bx+c, identify the values of a, b, and c. y=-2x^2
a) A=-2, b=0, c=0
b) a=-2, b=-2, c=-2
c) a=0, b=-2, c=0
d) a=0,b=0, c=-2
Answers
[tex]\sf y=-2x^2[/tex]
'a' here is -2, 'b' is 0, and 'c' is also 0, anything multiplied by 0 is 0, adding 0 to anything keeps it the same. So the answer is A.
In the quadratic function y = -2x^2, the values of the coefficients a, b, and c are -2, 0, and 0, respectively.
Explanation:In the quadratic equation y = ax^2 + bx + c, the coefficients a, b, and c represent specific values that dictate the curve's shape and position. Given the equation y = -2x^2, we can compare it to the standard form to determine its coefficients. It is evident that a is -2, b is 0 since there is no x-term, and c is also 0 because there is no constant term. Therefore, the correct answer is a=-2, b=0, c=0, which corresponds to option a.
Jane goes to the fruit market every week. On Monday she buys 10 pears and 11 oranges for $10.05 By Friday she is out of fruit and goes back to the market to purchase 1 pear and one orange for $0.94 How much did Jane spend on 1 orange?
Answers
Which polynomial represents the difference below? 7x8 + 8x6 - 2x + 9 - (4x8 + 3x7 + 3)
Answers
[tex]7x^8 + 8x^6 - 2x + 9 - (4x^8 + 3x^7 + 3)=(7-4)x^8-3x^7+8x^6-2x\\+(9-3)\\=3x^8-3x^7+8x^6-2x+6[/tex]
We are done.
Consider the difference of polynomials [tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3).[/tex]
The first thing you have to do is take that "minus" sign through the parentheses containing the second polynomial (just change sign + to - and sign - to +):
[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=7x^8+8x^6-2x+9-4x^8-3x^7-3.[/tex]
Then combine terms with the same degree:
[tex]7x^8+8x^6-2x+9-4x^8-3x^7-3=(7x^8-4x^8)-3x^7+8x^6-2x+(9-3).[/tex]
Note that
[tex]7x^8-4x^8=(7-4)x^8=3x^8,\\ \\9-3=6.[/tex]
Thus,
[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=3x^8-3x^7+8x^6-2x+6.[/tex]
Can someone please help me? The measure of the reflex angle in rhombus ABCD is 260°. Find x. Thanks
Answers
But instead, we stopped at 260°. We have x° left to get to 360°.
That's 360°-x°=260°.
x=100, so the answer is E
Which of the following is parallel to the line =6x + 1
Answers
common equation for line is y=kx+b, where k=tgα, b-number.
Rule: if y||y₁, then k=k₁.
It means that according to given conditions y₁=k₁x+b₁ ⇒ y₁=6x+b₁.
answer: y₁=6x+b₁
which of these equations represents functions? check all that apply
Answers
Option B. y=7x^4 and Option D. y=2x+1
These funcionts pass the test of the verical line (it cuts the graph in only one point). Please, see the attached file.
Thanks