Answer:
The center is 4 because 4 is the value in the middle when all of the values are ordered from least to greatest.
Step-by-step explanation:
The center point lies in the middle of the data. This is the point where the midpoint of data set is located. In the given dot plot the data is in descending order and when the data is observed the middle value is 4. The middle value can be between 4 and 5 in case if the data set was observed according to class preference and frequency would have been given separately.
Question
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a red card is
drawn at least once by the third draw. Round your answer to two decimal places.
Provide your answer below:
The probability that a red card is drawn at least once by the third draw is 0.88.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.
In a standard 52 card deck the red cards are 26.
So,
P(red) = n(red cards) / n(total cards)
= 26 / 52
P(red) = 0.50
Now, X ≈ Bin (n = 3, P = 0.50)
P(X = x) = (n x) p^x (1 - p)^n-x
(n x) = \(\frac{n!}{x!(n-x)!}\)
P(X ≥ 1) = 1 - P(X < 1)
= 1 - P(X = 0)
= 1- (3 0)(0.5)^0(0.5)^3
= 1 - 0.125
= 0.875
P(X ≥ 1) = 0.88
Hence, the probability that a red card is drawn at least once by the third draw is 0.88.
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Please help me answer this?
9514 1404 393
Answer:
h'(3) = 26
Step-by-step explanation:
h(x) = 3f(x) +5g(x) +3 . . . . . . . given
h'(x) = 3f'(x) +5g'(x) . . . . . . . . take the derivative
h'(3) = 3f'(3) +5g'(3) . . . . . . . use x=3
h'(3) = 3(2) +5(4) = 26
ILL GIVE BRAINLY-EST TO WHOEVER CAN SOLVE ALL
Lin works in an electronics store. Her monthly pay is $950. She also receives 4% commission on all her sales. She had $12,475 in sales last month. What were her earnings last month?
Olivia bought a dress for $120. The tax rate is 9%. What is the total amount Olivia paid for the dress?
Jiang counted that he'd thrown 90 pitches in a baseball game. He had actually thrown 94 pitches. Calculate the percent error and round to the nearest percent.
Liz's lunch costs $13.00. She wants to leave a 15% tip. What is the total amount including the tip that Liz paid?
Aaron deposited $200 in a savings account that offers a 6% interest rate. How much interest will he earn after 1 year?
Answer:so in this yo subrtact the number 12,475 with 950 and i think Im not sure and this is your answer
Step-by-step explanation:
Olivia bought a dress for $120. The tax rate is 9%. What is the total amount Olivia paid for the dress?
Answer:
7.5
Step-by-step explanation:
9 divided by 120 = 0.075
0.075 x 100 = 7.5
write an equation in slope-intercept form of the line that bisects the angle formed by ED and EF.
Answer:
ok
Step-by-step explanation:
the answer is (2,4)
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which of these numbers are rational 3/8 5/6 7/16 11/20
Here, we want to select which of the fractions are rational
To get this, we need to understand what rational numbers are
Rational numbers are numbers that can be expresed in form a/b where the value of b is not equal to zero
From the options in the question, we can see that all these numbers are directly expressed as fractions in the form a/b with none of the denominators being eual to zero
This means all the given fractions are rational
determine whether the given by binomial is a factor of the polynomial p(x) . If so, find the remaining factors of p(x).
The given binomial is a factor of the polynomial p(x) with remaining factors of (x + 1)(x - 1).
What is termed as the factors of polynomial?Factorisation is the process of determining the factors of a given value as well as mathematical expression. Factors are integers which are multiplied together to create the original number.For the given question.
The polynomial is given as; x³ + 2x² -x - 2.
The binomial is given as; (x +2).
The, to get the remainder, divide the polynomial with the binomial.
= (x³ + 2x² - x - 2)/ (x +2)
Taking x² common from the first two terms of the numerator and (-1) from the last two terms.
= x²(x + 2) - (x + 2)/ (x +2)
Taking (x + 2) common from two terms.
= (x + 2)(x² - 1)/(x + 2)
Cancel (x + 2) from both.
= (x² - 1)
Now use the identity to open the square.
(a² + b² ) = (a + b) (a - b)
= (x + 1)(x - 1).
Thus, the given binomial is a factor of the polynomial p(x) with remaining factors of (x + 1)(x - 1).
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The correct question is-
Determine whether the given binomial is a factor of the polynomial p(x).
If so, find the remaining factors of p(x).
p(x) = x³ + 2x² -x - 2 ; (x +2)
Answer:
a
Step-by-step explanation:
What type of association does the graph show?
A scatterplot with hours of homework on the x-axis and G P A on the Y axis. There are several points plotted that are not very close together but generally rise from left to right.
negative association
positive association
nonlinear association
no association
The type of association shown between the variables in this problem is given as follows:
Positive association.
How to classify the association between variables?There can either be a positive association between variables or a negative association between variables, as follows:
Positive association happens when both variables have the same behavior, that is, as one increases the other increases, and as one decreases the other also decreases.Negative association happens when the variables have opposite behavior, as one variable is increasing the other is decreasing, or as one variable is decreasing, the other is increasing.In the context of this problem, we have that an the homework hours increase, so does the GPA, hence there is a positive association between the variables.
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Pls help me
I really need help so I can not go through summer school pls
On a piece of paper graph f(x) = 3x. Then determine which answer choice matches the graph you drew
Answer:
--
Step-by-step explanation:
Show all the options please
Not able to see all options
I say need help plz can u also add a formula?
Answer:
I'm confused, do u just need a formula?
Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Answer: Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Step-by-step explanation:
1-7 blanks! Plz help!
On a map, 1 inch equals 20 miles. If two cities are 3 inches apart on the map, how far are they actually apart?
Answer: 60 miles
Step-by-step explanation:
1 in. times 3 = 3 in
20 mi times 3 = 60 mi.
What was done to the linear parent function, f(x) =X, to get the function g(x) =X1/5x
f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.
Let f(x) = x2 + 2x + 1 and g(x) = X - 4.
Identify the rule for f•g.
Answer:
(g ◦ f)(x) = g(f(x)) = cos(f(x)) = cos(7x2).
On a coordinate plane, a line goes through points (negative 2, negative 2) and (4, 2).The graphed line can be expressed by which equation?
Answer:
y=⅔m-8 or 3y=2m-8
Step-by-step explanation:
put both equations in the form y=mx+c and solve simultaneously. when done, you will recive values for m and c. replace those values into y=mx+c
If two events are mutually exclusive, why is ? Choose the correct answer below. A. because A and B each have the same probability. B. because A and B cannot occur at the same time. C. because A and B are independent. D. because A and B are complements of each other.
Answer:
B. because A and B cannot occur at the same time.
Step-by-step explanation:
If two events are mutually exclusive, why is ? Choose the correct answer below.
A. because A and B each have the same probability.
B. because A and B cannot occur at the same time.
C. because A and B are independent.
D. because A and B are complements of each other.
Which regular polygon has a minimum rotation of 36゚ about its center that carries the polygon onto itself
Answer:
decagon (10-sided polygon)
Step-by-step explanation:
A regular polygon has a minimum rotation of 360/n degrees about its center, where n is the number of sides in the polygon.
Therefore, the regular polygon with a minimum rotation of 36 degrees about its center is a polygon with 360/36 = 10 sides, or a decagon.
if this helps you, it would help me a lot if you could mark this as brainliest :)
Suppose you just won the state lottery, and you have a choice between receiving $4,500,000 today or a 20-year annuity of $250,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes
A 1.03% rate of return is built into the annuity.
First optionTo receive a single payment today of $4,500,000Second optionTo receive an annual payment of $250,000.Term is equal to 20 years.Let the rate of return be x%.A series of payments paid at regular intervals is known as an annuity. Regular savings account deposits, mortgage payments, insurance premiums, and pension payments are all examples of annuities. The periodicity of payment dates allows for the classification of annuities.At this rate, the present value of the annuity is $4,500,000.The present value of the first option equals the present value of the second option. $4,500,000 = $250,000[1/x + 1/x² + … + 1/x^20]Upon solving, we get approximately x is 1.03%.To learn more about annuity, visit :
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\(\int\limits^{i/2}_i {e^{z/2}} \, dx\)
our jobs are to be done on four different machines. The cost in rupees of
producing ith on the jth machine is given below. Assign the jobs to different machines
so as to minimise the total cost.
Jobs
M1
M2
M3
M4
J1
15
11
13
15
J2
17
12
12
13
J3
14
15
10
14
J4
16
13
11
17
The total optimal solution based on the information will be 49 rupees.
How to calculate the valueHere, four jobs and four machines are given, with the assignment matrix.
Find out the each row minimum element and subtract it from that row
Find out the each column's minimum element and subtract it from that column.
This assignment problem is being solved using Hungerian Method as the optimal solution is:
J1 to M2, J2 to M4, J3 to M1 and J4 to M3. The total optimal cost is:
= 11 + 13 + 14 + 11
= 49 rupees
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Find the volume of each solid shape. Round your answer to two decimal places. (Use 3.14 for pi)
The total volume of the hemisphere mounted on the cuboid is 3574.76 cubic yards.
EquationsTo find the volume of the hemisphere mounted on the cuboid, we need to first find the volume of the cuboid and the volume of the hemisphere separately, and then add them up.
The volume of the cuboid is given by the formula:
V_cuboid = l x w x h
where l, w, and h are the length, width, and height of the cuboid, respectively. Substituting the given values, we get:
V_cuboid = 17 yd x 14 yd x 12 yd
V_cuboid = 2856 cubic yards
Next, we need to find the volume of the hemisphere. The diameter of the hemisphere is given as 14 yd, which means that the radius is 7 yd. The volume of the hemisphere is given by the formula:
V_hemisphere = (2/3) x π x \(r^{3}\)
V_hemisphere = (2/3) x 3.14 x \(7^{3}\)
V_hemisphere = 718.76 cubic yards
To find the volume of the hemisphere mounted on the cuboid, we add the volumes of the cuboid and the hemisphere:
V_total = V_cuboid + V_hemisphere
V_total = 2856 + 718.76
V_total = 3574.76 cubic yards
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A restaurant manager recorded the number of orders for each four drinks available the results are shown in the table what is the relative frequency of someone choosing water as their drink
Therefore, approximately 26.67% of customers chose water as their drink.
What is frequency?In statistics, frequency is a measure of how often something occurs. It refers to the number of times an event, a value, or a category appears in a dataset. Frequency is an important concept in statistics because it provides information about the distribution of the data. By analyzing the frequency of values or categories, we can identify patterns, trends, and outliers in the data, which can help us make better decisions or draw more accurate conclusions.
Here,
To find the relative frequency of someone choosing water as their drink, we need to divide the number of times water was ordered by the total number of orders.
The total number of orders is:
20 + 30 + 10 + 15 = 75
The relative frequency of someone choosing water as their drink is:
20 / 75 = 0.2667 or 26.67%
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Complete question:
A restaurant manager recorded the number of orders for each four drinks available the results are shown in the table what is the relative frequency of someone choosing water as their drink?
Drink Number of Orders
Water 20
Soda 30
Tea 10
Juice 15
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
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Simplify (−3)4 and −34. Show all the work
Answer:
-12
Step-by-step explanation:
(-3)4
-3*4
-12
Elaborate ur question about - 34
Corey went shopping and bought a pair of shoes for $65.99 and two caps for $15.99 each. If he was charged a sales tax of 8%, then about how much money did Corey have to pay?
A.
$90
B.
$105
C.
$95
D.
$115
Answer:
It’s 105
Step-by-step explanation:
Calculate the bearing of Y from X
Answer:
074°
Step-by-step explanation:
the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY
∠ NXY = 180° - 106° = 74°
the 3- figure bearing of Y from X is 074°
To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers at each store. This sampling technique is called:____________
Answer:
Convenience sampling.
Step-by-step explanation:
To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers at each store. This sampling technique is called convenience sampling.
Convenience sampling can be defined as a sampling method which involves the researcher selecting or collecting data that is easily available or choosing the individuals who are easiest to reach in a population. It is a type of non-probability method of sampling where the first or easiest available data source is being used by the researcher without other requirements.
In this scenario, to gather information on customer satisfaction, the researcher went to the store most likely situated in a shopping mall to collect data from six (6) customers in each stores.
Some of the advantages of convenience sampling are low cost, data are collected quickly, lesser rules etc.
100 POINTS!!!!!!!
Part A: What is a coterminal angle of θ such that 0 ≤ θ ≤ 2π?
Part B: What are the exact values of all six trigonometric functions evaluated at θ?
Answer:
A. coterminal angle = 4π/3
B. sin(θ) = -√3/2; csc(θ) = -2√3/3; cos(θ) = -1/2;
sec(θ) = -2; tan(θ) = √3; cot(θ) = √3/3
Step-by-step explanation:
A.Any angle that is a multiple of 2π added to the given angle will be coterminal. You want one in the range [0, 2π], so we need to add 4π to the given angle
coterminal angle = -8π/3 +4π = -8π/3 +12π/3
coterminal angle = 4π/3
__
B.The reference angle is 4π/3 -π = π/3. θ is a quadrant III angle, so both the sine and cosine are negative.
sin(θ) = -√3/2 . . . csc(θ) = -2√3/3
cos(θ) = -1/2 . . . sec(θ) = -2
tan(θ) = √3 . . . cot(θ) = √3/3
i need help with this
Answer:
it's 2 because they went from earth to mars