You look over the songs in a jukebox and determine that you like 18 of the 52 songs. (a) The probability that you like the next four songs that are played is (Round to three decimal places as needed.) (b) The probability that you do not like any of the next four songs that are played is (Round to three decimal places as needed.)
Answers
The prob(Like 1st song) =18/52
The Prob( like 2nd song) =17/51
The prob(Like 3rd song) = 16/50
The prob (Like 4rd song) = 15/49
Prob(Like next four songs) =
\(\frac{18}{52}\times\frac{17}{51}\times\frac{16}{50}\times\frac{15}{49}=0.0113\approx0.011\)The prob(You do NOT Like any of the next four songs) = 1 - prob(Like next four songs)
= 1 - 0.011 = 0.989
Related Questions
7x-8y=10 and x-8y=-26 using elimination
Answers
x= 6;
y= 4.
Step-by-step explanation:1. Write the equations.\((1)7x-8y=10\\\\ (2)x-8y=-26\\\)
2. Subtract equation 2 from equation 1.\((1)7x-8y=10\\-\\ (2)x-8y=-26\\--------\\\\6x+0y=36\\ \\6x=36\)
3. Solve for x.\(\frac{6x}{6} =\frac{36}{6} \\ \\x=6\)
4. Use the calculated value of "x" in any of the equation to the value of "y".For this solution, we are going to use equation 2 to get the value of "y".
\((6)-8y=-26\\\\-8y=-26-6\\ \\-8y=-32\\ \\\frac{-8y}{-8} =\frac{-32}{-8} \\ \\y=4\)
5. Verify.If the answers are correct, both equations should return the same value in both sides of the equal (=) sign.
\(7(6)-8(4)=10\\ \\42-32=10\\ \\10=10\)
That's correct.
\((6)-8(4)=-26\\ \\6-32=-26\\ \\-26=-26\)
That's correct.
Hence, the answers are correct.
Help me solve this and get marked branliest:
Answers
Answer:
75°
Step-by-step explanation:
Let's find the size of x°
BCFE has four sides so the sum of its angles sizes is 360°.
● CBE + 110 + 110 + CFE = 360
CFE is equal to 65° since they have the same vertex
● CBE + 220 + 65 = 360
● CBE + 285 = 360
● CBE = 360-285
● CBE = 75
CBE and x° have the same size since they share the same vertex.so:
● x° = 75°
Answer:
75°
Step-by-step explanation:
CBE = x (vertically opposite angles are equal)
CFR = 65° (vertically opposite angles are equal)
C+F+E+B= 360 (angles in a quadrilateral sum up to 360°)
110+65+110+x=360
x= 75°
2.3 rounded to the nearest tenth of a centimeters measurement
Answers
Answer:
2.0 i think thats the answer
all sales are on credit. if sales in april and may are budgeted to be $900,000 and $1,000,000, respectively, the cash expected to be collected in may is
Answers
If budgeted credit sales in April and May are to be $900,000 and $1,000,000, respectively, the cash collection in May is expected to be $920,000.
How is the cash collection determined?The cash collected in May is based on the given percentages of collection.
In May, the cash collection includes the cash receipts for April credit sales of 80% and 20% for May credit sales.
April May
Credit Sales $900,000 $1,000,000
Cash collection:
20% month of sale $180,000 $200,000 ($1,000,000 x 20%)
80% following month 720,000 ($900,000 x 80%)
Total cash collection for May $920,000
Thus, the expected cash collection in May should be $920,000.
Learn more about cash budgets and collections at https://brainly.com/question/16346203
#SPJ1
Question Completion:Accounts receivable collection pattern:
20% month of sale
80% following month of sale.
If a patient is prescribed 0.8 µg per kilogram every 12 hours and the patient weight is 92 kg how much medication should a patient be given.
Answers
The patient of 92 kg of weight should be given 73.6 µg of prescribed medication every 12 hours .
Unitary method is a method of finding a single unit value from multiple unit values and multiple unit values from a single unit value.For convenience, we always write what we want to calculate on the right and what we know on the left. In a uniform way, we are given the values of many things. First we must obtain one value by division, then we must obtain the value of more or less by multiplication.It is given that a patient is prescribed 0.8 µg per kilogram every 12 hours
Using unitary method , we get
1 kg of body needs = 0.8 µg of medication
92 kg of body needs = 0.8 × 92
= 73.6 µg of medication
Dose required in 12 hours = 73.6 µg of medication
Learn more about unitary method here :
https://brainly.com/question/24587372
#SPJ9
What percent of 86 is 50 to the nearest whole percent
Answers
Answer:
58%
Step-by-step explanation:
50/86 is approximately equal to 0.58, and when you convert that into percentage you get 58%
PLEASE ANSWER ASAP!!! WILL GIVE BRAINLIEST IF CORRECT!
A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent using substitution. The class has suggested four different methods.
Which describes the correct method?
1. Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.
2. Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
3. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
4. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Answers
Answer:
Option 4 is the correct answer
Step-by-step explanation:
4. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Celine purchased a ball of red yarn costing $2.33. She gave the cashier $7.19. How much change did the cashier give back to Celine?
Answers
Answer:
$ 4.86
Step-by-step explanation:
Subtract 7.19 and 2.33
7.19-2.33=4.86
Question 6 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. What may be false
B. What
may
be true
C. What must be true
o
D. None of these
Answers
Answer:
B. What must be true.
Step-by-step explanation:
hope that helps :)
Suppose P( A) = 0.60, P( B) = 0.85, and A and B are independent. The probability of the complement of the event ( A and B) is: a. .4 × .15 = .060 b. 0.40 + .15 = .55 c. 1 − (.40 + .15) = .45 d. 1 − (.6 × .85) = .490
Answers
Answer: a. 0.4 × 0.15 = 0.060
Step-by-step explanation: Probability of the complement of an event is the one that is not part of the event.
For P(A):
P(A') = 1 - 0.6
P(A') = 0.4
For P(B):
P(B') = 1 - 0.85
P(B') = 0.15
To determine probability of A' and B':
P(A' and B') = P(A')*P(B')
P(A' and B') = 0.4*0.15
P(A' and B') = 0.06
Probability of the complement of the event is 0.060
I need your help urgently the instructions are find a rule which connects the two quantities in each of the following table
Answers
Answer:
i dont understand
Step-by-step explanation:
1 i
2 d
3 k
can someone please please answer this
Answers
Explanation: The formula to find the sum of the interior angles of any shape is: 180°(number of sides-2). The shape in this question has 6 sides, so when you substitute that into the formula, you get:
180°(6-2)
=720°
Therefore, the sum of the interior angles of this shape is 720°.
Hope that helps シ
Answer:
720 degrees
Step-by-step explanation:
sum of interior angles of any polygon is given by the equation
\(sum \: = (n - 2) \times 180\)
where n is the number of sides of the polygon. in the question the polygon has 6 sides. hence n = 6 and
\(sum \: = (6 - 2) \times 180 \\ = 4 \times 180 \\ = 720 \: degrees\)
Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Answers
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
For such more questions on Cost of tile and carpet.
https://brainly.com/question/29574063
#SPJ8
What is the perimeter of the parallelogram?
Answers
Answer:
P= 2 (a+b)
Step-by-step explanation:
? + (350 × 0.84) = (620 × 0.55) – √1764 2
Answers
Answer: The answer is going to be
120 x 65%/3
In the game plan for model building on your multiple regression project, which of the following is true about the test that determines whether the interaction term(s) is/are significant in predicting y?
A. It will definitely be a t-test
B. It will either be a t-test or a best subset for partial) F-test depending on whether we kept or dropped the quadratic terms
C. It will definitely be a partial F-test
D. It will definitely be a global
Answers
Answer:
A. It will definitely be a t-test
Step-by-step explanation:
T-test is a type of inferential statistic test which used to determine whether there is a significant difference between mean of two group sets or variables.The t-test technique is widely used in hypothesis testing in statistics. When the model building for game play is determine through regression analysis, it will require t-test to be conducted to reach a conclusion.
I’ll give BRAINLIEST ! Pls help
Answers
Answer:
dbc
Step-by-step explanation:
Which figure correctly demonstrates using a straight line to determine that the graphed equation is not a function of x?
Mark this and return
3
2
4
Save and Exit
Next
Submit
Answers
Answer:
2 is really answer it is this question bro than ka for good point
Step-by-step explanation:
hello shreekant thanks 886A bubs 2 is answr
Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answers
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
BC is tangent to ⊙A at point B. What is the value of x?
Answers
The value of x is 6 or 3.5.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
We have,
Radius = (x-2)
CB= 2x -9
Using Pythagoras theorem
AB² + CB² = AC²
(x-2)² + (2x-9)² = (x-2+1)²
x² + 4 -4x + 4x² + 81 - 36x = x² + 1 -2x
4x² -38x + 84 = 0
Solving the quadratic equation we get
x= 6 or 3.5
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answers
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
A theme park guest takes an innertube into the wave pool. The innertube moves up and down in a way such that the height h of the innertube, in meters, above the floor of the pool can be modeled by the function h = asinbx + 5. When the wave pool is turned on, the innertube's height fluctuates between 2 meters and 8 meters, with an interval of 12 seconds between maximums. Based on the context of the problem, what are the values of a and b?
Answers
So we are told that the height of the innertube in meters is given by:
\(h(x)=a\sin (bx)+5\)The minimum height is 2 meters, the maximum is 8 meters and the time between two consecutive maximums is 12 seconds. Here is important to note a few properties of the sine. First of all, the minimum value of sin(bx) is -1 and its maximum value is 1. Then the height of the innertube is minimum when sin(bx)=-1 and maximum when sin(bx)=1. With these two values we can build two equations for a:
\(\begin{gathered} \min (h)=2=a\cdot(-1)+5 \\ \max (h)=8=a\cdot1+5 \end{gathered}\)So we have:
\(\begin{gathered} 2=-a+5 \\ 8=a+5 \end{gathered}\)Substracting 5 from both sides of the second equation we get:
\(\begin{gathered} 8-5=a+5-5 \\ 3=a \end{gathered}\)Using this in the first equation gives us:
\(\begin{gathered} 2=-3+5 \\ 2=2 \end{gathered}\)Which confirms that a=3. Now we have to find b. For this purpose we can recal another property of the sine. Its period i.e. the distance (in this case the time) between two consecutive maximums is given by:
\(\frac{2\pi}{b}\)Since we know this time is 12 seconds we get:
\(\frac{2\pi}{b}=12\)If we multiply both sides by b and divide them by 12 we get:
\(\begin{gathered} \frac{2\pi}{b}\cdot\frac{b}{12}=12\cdot\frac{b}{12} \\ \frac{2}{12}\pi=b \\ \frac{\pi}{6}=b \end{gathered}\)So we have:
\(a=3\text{ and }b=\frac{\pi}{6}\)Which means that the answer is the second option.
An exponential function will have:
Answers
Answer:
Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1.
Step-by-step explanation:
Write the explicit formula for the given sequence.
1.5, 2.25, 3, 3.75, ...
need done asap
Answers
Answer: \(a_{n}=1.5+0.75(n-1)\)
Step-by-step explanation:
The common difference is 2.25-1.5=0.75\(a_{n}=1.5+0.75(n-1)\). So, the explicit formula is
14x^2y+4x-7xy-2=(2x-1)
Answers
Answer:
(2x -1) (7xy+2)
Step-by-step explanation:
Rewrite the equation as follows:
(14x^2y - 7xy) + (4x -2)
Factor 7xy from the first term and 2 from the second term:
7xy(2x -1 ) + 2 ( 2x -1)
Factor (2x-1) from each term to get
(2x -1) ( 7xy + 2)
You can multiply this out to verify the answer.
X-6 X+7
Which inequality is equivalent to X+5x+3?
Answers
The inequality X-6/ X+5 ≥ X+7 / x+3 is equivalent to x²- 9x - 18/ x²+ 12x + 35 ≥ 0.
Which inequality is equivalent to a given expression?we must look for an inequality whose simplest form is equal to x > 1, this can be proved by using algebra properties. Now we proceed to check on each choice:
We have given the inequality as;
X-6/ X+5 ≥ X+7 / x+3
(x - 6)(x + 3) = (x + 7)(x + 5)
(x - 6)(x + 3)/ (x + 7)(x + 5) ≥ 0
Solving the bracket;
x²- 6x - 3x - 18/ x²+ 7x + 5x + 35 ≥ 0
x²- 9x - 18/ x²+ 12x + 35 ≥ 0
The inequality X-6/ X+5 ≥ X+7 / x+3 is equivalent to x²- 9x - 18/ x²+ 12x + 35 ≥ 0.
To learn more on inequalities:
brainly.com/question/20383699
#SPJ1
Answer: its
Step-by-step explanation:
took this on edge 2020 ur welcome
Find dy/dx (the derivative ) of f(x) = 4x
2
using
limits definition of the derivitive (of limit of the
DQ when h> 0
Formulas needed
a) Equation of a line in slopeyintercept form y = f(x) = mx + b
b) Equation of a line slopepoint y y1 = m (x x1)
Answers
Derivative are used to determine the nature of a function. The derivative of the function f(x) = 4x^2 is 8x
Derivative of a functionThe formula for finding the derivative of a function is expressed as:
f'(x) = nax^n-1
Given the function expressed as:
f(x) = 4x^2
We are to find its derivative as shown:
f'(x) = 2(4)x^2-1
f'(x) = 8x^1 = 8x
Hence the derivative of the function f(x) = 4x^2 is 8x
Learn more on derivative here: https://brainly.com/question/416343
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
Answers
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
To know more about the equation, visit:
https://brainly.com/question/29657983
(6.2 x 10²) x (3.5 x 10³)
Answers
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
In the equation z/6 = 36, what is the next step in the equation solving sequence?
Identify and move the coefficient and variable.
Combine like terms.
Move all numbers without a variable.
Isolate the variable using inverse operations.
Answers
Answer:
Identify and move the coefficient and variable.
Step-by-step explanation:
The given equation is :
\(\dfrac{z}{6}=36\)
We need to find the next step in the equation solving sequence i.e. we need to find the value of z.
In the next step, we identify and move the coefficient and variable.
It can be done by multiplying 6 both sides.
\(\dfrac{z}{6}\times 6=36\times 6\\\\z=216\)
Hence, the correct option is (a) "Identify and move the coefficient and variable.".