The probability that the sum is strictly larger than 21 is P = 0.46
How to find the probability?
We already have a 10 and a 4, so: 10 + 4 = 14
To sum more than 21, we need to draw at least an 8.
On the deck there are:
6 cards equal or larger than 8 of diamonds.6 cards equal or larger than 8 of clubs.6 cards equal or larger than 8 of spades5 cards equal or larger than 8 of hearts (because we already drew the 10).So, 23 out of 50 cards meet our requirements. So the probability will be:
P = 23/50 = 0.46
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There are 10 sixth graders, 14 seventh
graders, and 6 eighth graders on the track
team. How many ways can the coach choose
one sixth grader, one seventh grader, and
one eighth grader?
The number of ways can the coach choose one sixth grader, one seventh grader, and one eighth grader is 840.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!. Here, n is the number of objects.
There are 10 sixth graders, 14 seventh graders, and 6 eighth graders on the track team. All the graders has to be arranged in an order. Thus number of arrangement will be,
[tex]n=10\times14\times6\\n=840[/tex]
Thus, the number of ways can the coach choose one sixth grader, one seventh grader, and one eighth grader is 840.
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The local pool must hold a minimum of 12,000 gallons of water. The pool already has 8,000 gallons of water in it and is being filled at a rate of 250 gallons per hour. Drag the solution to the number line to show how many hours it will take to fill the pool with water to its minimum amount required.
Answer:
16 hours
Step-by-step explanation:
Remaining gallons to be filled :
Minimum water - Containing water12,000 - 8,0004,000 gallonsTime to fill 4,000 gallons
Amount to be filled / filling rate4,000 / 25016 hoursAnswer:
Step-by-step explanation:
This is the answer
Henri's balance in his savings account was $12,000. The savings
account earns annual simple interest. At the end of four years, the
balance of the account was $13,536. If Henri did not make any
additional deposits or withdrawals during this time, what was the
annual interest rate on this savings account?
18
Answer:
3.2%
Step-by-step explanation:
I = prt
I = $13,536 - $12,000 = $1,536
1,536 = 12,000 × r × 4
r = 1,536/(12,000 × 4)
r = 0.032 = 3.2%
Solve the distance from the ground station to the satellite.
Need Quick!!!
Apply Pythagorean theorem
H²=P²+B²H²=6371²+42157²H²=40589686+1777212649H²=1817802335H=42635km(Approx)what equals 5 in multiplication and -4 in addition
Answer:
-2 +i-2 -iStep-by-step explanation:
There is no pair of real numbers that have a total of -4 and a product of 5. The complex numbers (-2+i) and (-2-i) will meet your requirements.
__
If the numbers of interest are 'a' and 'b', they will be zeros of the quadratic whose factored form is ...
(x -a)(x -b) = 0
Expanding that, we find an opportunity to use the given sum and product numbers:
x² -(a+b)x +ab = 0
x² -(-4)x +5 = 0
Rewriting this in vertex form gives ...
(x² +4x +4) +1 = 0
(x +2)² +1 = 0
We can find the values of x by subtracting 1 and taking the square root.
(x +2)² = -1
x +2 = ±√(-1) = ±i
x = -2±i
The two numbers of interest are -2+i and -2-i.
Chloe lives in an area where she runs the air conditioner during the 4 hottest months of the year. the air conditioner runs for 7 hours per day at a cost of 21 cents per hour. how much does she spend per year on utility bills for the air conditioner?(assume there are 30 days in each month) a. $705.60 b. $588.00 c. $216.09 d. $176.40 please select the best answer from the choices provided a b c d
The amount of money she spends per year on utility bills for the air conditioner is; D: $176.40
How to solve algebra word problems?We are told that;
Cost of running the air conditioner = 7 hours per day
Cost of running the air conditioner = 21 cents per hour = $0.21 per hr.
She runs it for four months at 7 hours per day. Thus;
Total number of hours for the 4 months = 7 × 30 × 4 = 840 hours
Total cost for the 4 months = $0.21 per hr. × 840 hours = $176.4
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What is the value of the expression 25 ÷ 5 + (6 x 2) − 4? (2 points) 12 9 7 13
Answer:
13
Step-by-step explanation:
you use the system of equations...
:)
Helpppp how do I do this?
The angles shown are
<QPR<SPRPR is the bisector of angle P
So
<P=<QPR+<SPR or =<QPSAdrianna is making flower bouquets. She has 60 roses and 80 daisies. If Adrianna wants to make all the arrangements identical and have no flowers left over, how many roses will be in each bouquet?
Answer:
3
Step-by-step explanation:
60/3=20
80/4=20
Adrianna can make 20 bouquets with 3 roses and 4 daisies each.
Kimaya guesses that 11 is the mean of this data set. 8, 7, 11, 7, 6,`12 Without calculating, determine if Kimaya's guess could be correct.
Answer:
you add up the number and then take that answer and multiply that. with the nuber alone
Step-by-step explanation:
add up 8 7 11 6. 12 and then multiply that answer by 11. how to do it..... 8+7+11+6+12 =? 11×?=
What is the probability that a sum of a pair of number cubes will be even and greater than 6 if the first cube lands on 4?
I guessed the answer to this question and got it right with 1/18 out of pure luck. I have no idea why it is 1/18! I'd love a quick explanation :D
Answer:
Step-by-step explanation:
If the first cube lands on a 4, then the second cube must land on 4 5 or 6.
It cannot land on 5 because that would make it the sum odd. (4 + 5 = 9)
So that leaves 4 and 6. You cannot use 2 because 4 + 2 = 6. The sum must be greater than 6.
So we are left with 2 results. The second cube should be 4 or 6
The results are 4 and 4
and 4 and 6
The results of throwing 2 dice are 36 ways in all. Only 2 combinations work.
2/36 = 1/18
I'm not sure that this is correct but it is the way done by the person writing the question.
Select all of the expressions that are equivalent to 4x - 5 +6. (Select all that apply.)
A. 4x+ (-5)+(6)
B. 4x - 6+5
C. 4x + 1
D. 5+6 - 4x
I'm pretty sure it's A and D, sorry if I'm wrong
Have a nice day!
Answer:
c and d
Step-by-step explanation:
5+6 - 4x is just 4x - 5 +6 but flipped
4x + 1 is the answer to 4x - 5 +6
Given f(x)=4x - 7 8x +8
what is the end behavior of the function?
The end behavior of the function f(x) describes the behavior of the function as x approaches the +∞ f(x) approaches to 1/2 and the x approaches the -∞ f(x) approaches to 1/2.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
[tex]\rm f(x) = \dfrac{4x-7}{8x+8}[/tex]
For the end behavior:
As x → ∞ f(x) → 1/2
And x → -∞ f(x) → 1/2
Thus, the end behavior of the function f(x) describes the behavior of the function as x approaches the +∞ f(x) approaches to 1/2 and the x approaches the -∞ f(x) approaches to 1/2.
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Answer: As x increases to negative infinity, f(x) increases to 0.5; as x increases to infinity, f(x) increases to 0.5.
Proof of validity is shown below.
can someone do this for me please?!
The different parts of a circle are radius, diameter, chord, tangent, arc, centre, secant, sector. Write down the circle formulas. If “r” is the radius of the circle, then the formula for the area and the circumference of a circle are:
Which expression represents the volume of the prism, in cubic centimeters? 9x2 7x 14x2 7x 16x2 14x 28x2 14x
Answer:
The answer is B
Step-by-step explanation:
Answer: b
Step-by-step explanation:
i need some help on who worked the fastest
Answer:
B. Kevin
Step-by-step explanation:
First off, great job on answering the rest! Kevin worked the fastest because he has the lowest time spent per flyer. This means that for every flyer he spent time working on, he would complete it faster than Bill or Dante. This can also be estimated from the table given because although kevin only made 6, he spent only 24 minutes while Bill spent 56 minutes and only made 8. The smaller minutes spent in comparison to the amount of flyers made shows that Kevin is the fastest.
Which of 2/5 or 5/8
is closer in value to 1/2?
Answer:
Step-by-step explanation:
The model represents an equation. What value of x makes the equation true?
An equation is formed of two equal expressions. The value of x that can satisfy this equation is 1.875.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The model represents the equation as given below,
[tex](6 \times -x)+(6 \times 1) = (2 \times x) + (9 \times -1)\\\\-6x+6=2x-9\\[/tex]
The value of x that can satisfy this equation can be written as,
[tex]-6x+6=2x-9\\\\-6x-2x=-9-6\\\\-8x = -15\\\\8x=15\\\\x = \dfrac{15}{8} = 1.875[/tex]
Hence, the value of x that can satisfy this equation is 1.875.
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Which three measures could be the side lengths of a right triangle? Explain or show your reasoning
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
IMAGE ABOVE
Answer:
Step-by-step explanation:
.
Answer:
[tex]( \sqrt{24} ) ^{2} + 5 {}^{2} = 7 {}^{2} \\ [/tex]
Pythagoras theorem:
a²+b² = c²
where a, b and c are the adjacent, opposite sides and hypotenuse of a right angled triangle respectively.
Therefore, √24 , 5 and 7 are the sides of a right angled triangle.
Can I have help on this? I will award brainliest for the correct answer.
Answer:
7x(x+4)
Step-by-step explanation:
i got answer from mathay
What is the correct answer NEED IT ASAP
Answer:
Answer is D) [tex]g(x)=(x+1)^2+3[/tex]
Step-by-step explanation:
[tex]f(x)=(x-h)^2+k[/tex]
h = shift left or right
k = shift up or down.
Given:
h = -1 , k = 3
Put that into the equation f(x)
[tex]f(x)=(x-(-1))^2+(3)\\f(x)=(x+1)^2+3[/tex]
Im so lost what the answer is
Answer:
Unfortunately, we can't do anything with 41 as it has no factors. Since [tex]3\sqrt{41}[/tex] is already simplified, try submitting that as your answer. If that doesn't work then try un-doing their steps and get rid of the 3:
[tex]3\sqrt{41}[/tex]
[tex]\sqrt{41(9)}[/tex]
[tex]\sqrt{369}[/tex]
Hope this helps!
HELP PLEASE
A parking lot charges $7 per day to park on weekdays and $12 per day on weekends.
Jamal parked his car in this lot on 6 days last week and spent a total of $52. How many
weekdays and weekend days did Jamal park?
Answer:
4 weekdays and 2 weekends.
Step-by-step explanation:
6 days.
x = weekdays
y = weekends
7x = amount with weekdays
12y = amount with weekends
7x + 12y = 52, total
x + y = 6, amount of days
solve double variable equation
x = 6 - y, plug in to 1st equation
7(6 - y) + 12y = 52
42 - 7y + 12y = 52
5y = 10
y = 2 weekends
2 + x = 6
x = 4 weekdays
PLEASEEEE HELPPP I’m BEGGINGGG
When solving the following equation by completing the square, what would be your
first step?
x^2 - 6x – 40 = 0
Answer: Add 40 to both sides to collect like terms on each side of the equation
Step-by-step explanation: That's the first step
The length of regtangular garden is represented by 3x-4 and width by 2x-5. what is the area
Answer:
6x^2-20x+16
Step-by-step explanation:
=(3x-4)(2x-5)
expand))
6x^2-23x+20
the first term in this number pattern is 7.
7,12,10,15,13,..
what is the eighth term in this pattern
Answer:
21
Step-by-step explanation:
The pattern goes +5 , -2
From 7 you add 5, and than from 12 you minus 2. If you keep this up you get the following numbers.
7,12,10,15,13,18,16,21,19,24,22,27,25,30...ect
21 is the 8th term in the patterns so thats your answer.
The eighth term in the given number pattern is 21. This is obtained by the logic, of adding 5 and subtracting 2.
Number pattern:These keep a relationship between a series of numbers. That relationship is given by logic.
Some of the examples are like Even number pattern, Odd number pattern, Fibonacci series, etc.
Calculating the 8th term in the given pattern:Given that the number pattern is 7,12,10,15,13....
In this pattern 7 is the first term
So, the logic is adding 5 and subtracting 2
7+5=12 (2nd term)
12-2=10 (third term)
10+5=15 (fourth term)
15-2=13 (fifth term)
13+5=18 (sixth term)
18-2=16 (seventh term)
16+5=21 (eighth term)
Therefore, the eighth term is 21.
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Is (2, 10) a solution to this system of inequalities?
y
y > 4x + 1
yes
no
Answer:
yes
Step-by-step explanation:
Identify the slope and y-intercept of each of the following lines. Then graph each line.
y + 3 = 2 (x + 4)
Answer:
Below!
Step-by-step explanation:
1. Determining the y-intercept of the line:
The provided equation is in point slope form. To determine the slope and the y-intercept, we need to convert the equation to slope intercept form. Once it is converted to slope intercept form, the constant will be the y-intercept of the line. Start out by simplifying the distributive property on the R.H.S.
[tex]\implies y + 3 = 2 (x + 4)[/tex]
[tex]\implies y + 3 = (2x + 8)[/tex]
Now, open the parenthesis on the R.H.S
[tex]\implies y + 3 = 2x + 8[/tex]
If we take a look at the formula of slope intercept form (y = mx + b), we can see that "y" is isolated on the L.H.S. Thus, we need to subtract 3 both sides to isolate the y-variable.
[tex]\implies y + 3 - 3 = 2x + 8 - 3[/tex]
[tex]\implies y = 2x + 5[/tex]
We can see that the only constant in the equation is 5.
Therefore, 5 is the y-intercept.
2. Determining the slope of the line:
To determine the slope of the line, let's compare the formula with the equation obtained.
[tex]\implies (y = 2x + 5) \ = \ (y = mx + b)[/tex]
Thus, we obtain the following:
y = y2 = m (Slope)x = x 5 = b (Y-intercept)Thus, 2 is the slope of the line.
3. Plotting the line on the coordinate plane:
To graph the line on a coordinate plane, plot the y-intercept on the graph. The y-intercept is ALWAYS plotted on the y-axis.
Thus, the y-intercept plotted on graph is (0, 5).
Furthermore, plot a second point on the graph to draw a straight line through those points.
Determining the second point of the line:
If the slope of the line is 2, it means that the run (x) is 1 and the rise (y) is 2. Thus, we can add 1 to the x-coordinate of the y-intercept and 2 to the y-coordinate of the y-intercept.
⇒ (0, 5) ⇒ x = 0; y = 5 ⇒ Second point: x = 0 + 1; y = 5 + 2⇒ Second point: x = 1; y = 7⇒ Second point: (1, 7)Then, plot these points on the coordinate plane. Keep in mind that plot the x coordinate first, then the y-coordinate next. Once the coordinates are plotted, draw a line from the x-coordinate and another line from the y-coordinate. Finally, use your ruler and draw a line that passes through those two points. Your obtained graph is the graph of the line.
Comapre to slope intercept form y=mx+b
Slope=m=2Y intercept=b=5Hey guys! 5th grade math! Does someone think they can help me out with this? offering 20 points for both of these!
Answer:
3 and 8.
9 and 2/6.
Sorry if im wrong I havent been in 5th grade in along time.
Answer:
1. Is D. 3 and 8
2. is B 9 2/6
Step-by-step explanation:
A grocery store chain surveys customers on their shopping habits. One question in the survey asks for monthly grocery expense. Another question asks for the number of children in the family.
To compare the monthly grocery expense based on family size, the results are split into two categories:
Families with up to 2 children.
Families with 3 or more children.
The box plots for each category are shown.
image 47edc356579240329edef378a3e37bd0
Which statement is BEST supported by the box plots?
A
The grocery expense for the category of "0-2 Children" is more spread out than the other category. This is most likely due to the median being much lower for the "0-2 Children" category than for the other category.
B
The grocery expense for the category of "3 or More Children" is more spread out than the other category. This is most likely due to families in the "0-2 Children" category having more outlier results.
C
The grocery expense for the category of "0-2 Children" is more spread out than the other category. This is most likely due to the minimum and maximum being closer together in the "0-2 Children" category.
D
The grocery expense for the category of "3 or More Children" is more spread out than the other category. This is most likely due to families in the "3 or More Children category" having more outlier results.
The statement supported by the box plot is D. The grocery expense for the category of "3 or more children" is more spread out than the other category.
What is a box plot?A box plot simply means a standardized way that's used in displaying the dataset.
In this case, the grocery expense for the category of "3 or more children" is more spread out than the other category.
The reason for the above is because the families in the "3 or more children category" having more outlier results.
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