The probability of successfully drawing a three and then a queen in order, with replacement, is 1/169.
To calculate the probability of successfully drawing a three and then a queen, we need to consider the number of favorable outcomes divided by the total number of possible outcomes.
In a standard deck of cards, there are 4 threes and 4 queens. Since replacement is allowed, the probability of drawing a three on the first draw is 4/52 (4 favorable outcomes out of 52 total cards).
After successfully drawing a three, there are still 52 cards left in the deck, including 4 queens.
Therefore, the probability of drawing a queen on the second draw is 4/52.
To find the probability of both events occurring in order, we multiply the probabilities together:
P(3 and then queen) = P(3) * P(queen) = (4/52) * (4/52) = 16/2704 = 1/169
So, the probability of successfully drawing a three and then a queen in order, with replacement, is 1/169.
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What is the area of this plane figure?
45 square centimeters
50 square centimeters
65 square centimeters
90 square centimeters
Answer:
it would be nice if I could see it
The mass of the liquid below is 45.5 grams if placed in a beaker with water the liquid will....
Any help is appreciated:)
Answer:
it will float!
Step-by-step explanation:
in order to find density, you must divide the mass by the volume. the volume is 56 ml, and the mass is 45.5. (45.5 / 56 = 0.8125) because we know the density of water is 1, and the density of this liquid is less than that of water, it will float because it is "lighter". hope it helped <33
Step-by-step explanation:
answer is you're question
Please help school is ending soon!Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, the change in the mean is calculated as follows:
Change in mean = Mean of second data set - Mean of first data set
Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:
Change in mean = Mean of second data set - Mean of first data set
= Mean of first data set - Mean of first data set
= 0
Thus, the change in the means between Kelly's original survey and her second survey is zero.
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What is the positive square root of 81?
Answer:
the positive square root of 81 is 9
Step-by-step explanation:
9 times itself equals 81
What number would you add to both sides of x2 – 20x = 5 to complete the square ?
Answer:
100
Step-by-step explanation:
x^2 – 20x = 5
Take the coefficient of x
-20
Divide by 2
-20/2 = -10
Square it
(-10)^2 - 100
Add this to both sides
x^2 – 20x+100 = 5+100
Answer:
it would be 100
Step-by-step explanation:
correct on edge 2020
concert the scientific notation into a standard form number. 1.23* 10^-5
Answer:
0.0000123
Step-by-step explanation:
That " -5 " exponent requires that we move the decimal place 5 units to the left, which results in:
0.0000123
Can someone help me on question 12 please
Answer:
I think it is i
Step-by-step explanation:
The formula is 2(l+w)
2(13+8)
2(13)=26
2(8)=16
26+16=42
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
Find the measure of angle f given the information below. Please help!! (New Question )
The value of measure of ''angle f'' in the figure will be 46°.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
In the figure,
The value of angle a and e are;
⇒ a = 115°
⇒ e = 69°
Now,
Since, There are two parallel lines shown in figure.
Hence, We know by the definition of alternate angles of parallel lines,
⇒ ∠a = ∠f + ∠e
Here, We have to given that;
The angles are,
⇒ a = 115°
⇒ e = 69°
So, We get by substitute the value of angle a and e;
⇒ ∠a = ∠f + ∠e
⇒ 115° = ∠f + 69°
Subtract 69° both side, we get;
⇒ ∠f = 115° - 69°
⇒ ∠f = 46°
Thus, The value of measure of angle f;
⇒ ∠f = 46°
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HELLPPP! EASY QUESTION
- no links pls
Answer:
B
Step-by-step explanation:
it is a function but not a line
Answer:
b) a nonlinear function
Step-by-step explanation:
it's exponential so it's a nonlinear function.
i hope this is right. p.s. if it helps i really need brainliest :)
solve the initial value problem ty'+(t+1)=t, y(ln2)=1.
y(t) = t + ln2 - e-t.
The solution to the initial value problem ty'+(t+1)=t, y(ln2)=1 is y(t) = t + ln2 - e-t. To solve this problem, we need to solve the differential equation, ty'+(t+1)=t.
Using the method of separation of variables,
we get y' = (t+1)/t, so y = ∫(t+1)/t dt. After integrating and applying the initial condition y(ln2) = 1, we get the solution y(t) = t + ln2 - e-t.
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Kayla rolls a die 84 times. How many times can she expect to roll a 3?
A. 14
B. 21
C. 12
D. 18
Answer:
\(\huge\boxed{\sf 14\ times}\)
Step-by-step explanation:
Formula:\(\displaystyle Probability = \frac{Possible \ no. \ of\ events}{Total \ number\ of \ events}\)
Solution:If we roll a die 1 time, the probability of obtaining a 3 is:
= 1 / 6
Because a die has total 6 faces, out of which 3 is only 1.
But, if we roll it 84 times, it becomes:
= \(\displaystyle \frac{1}{6} \times 84\)
= 84/6
= 14 times\(\rule[225]{225}{2}\)
A solid box with height 20cm, width 80cm and length 10cm needs to be painted.
The paint costs £0.04 per cm2.
How much will it cost to paint the outside of the box?
The amount it would cost to paint the outside of the box is £208
Calculating the cost to paint a boxFrom the question, we are to determine calculate how much it would cost to paint the outside of the box
To do this, we will calculate the surface area of the box
The surface area of a box is given by
S.A = 2(lw + lh + wh)
Where S.A is the surface area
l is the length
w is the width
and h is the height
From the given information,
l = 10 cm
w = 80 cm
h = 20 cm
Thus,
S.A = 2(10×80 + 10×20 + 80×20)
S.A = 2(800 + 200 + 1600)
S.A = 2(2600)
S.A = 5200 cm²
Also, from the given information
The paint costs £0.04 per cm2
Thus,
The cost is £0.04 × 5200
= £208
Hence, the cost is £208
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hello, i need help please
Measure of ∠1 = 126 deg, Measure of ∠4 = 54 deg, and measure of ∠7 = 126 deg.
∵ Lines p and q are parallel, and t is transversal,
∴ ∠3 and ∠7 form pair of corresponding angles,
⇒ ∠3 and ∠7 are equal
∴∠7=126 deg.
Also, ∠3 and ∠1 are vertically opposite angles,
∴ ∠3 and ∠1 are equal.
⇒ ∠1=126
Again, as t is a straight line and line p intersects it,
∴ ∠3 and ∠4 form linear pair.
⇒ ∠3 and ∠4 are complementary.
⇒ ∠3+∠4=180
⇒ ∠4+126=180
⇒ ∠4=180-126
⇒ ∠4=54
Hence, measure of ∠1 is 126 deg, that of ∠4 is 54 deg, and that of ∠7 is 126 deg.
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6. The quadratic functions f(x) =-x+2x+6 and g(x)= x’ +2x are shown graphed below. The positivesolution to f(x)=g(x) is closest to which of the following?Y(1) x=6.5(3) x=1.7(2) x = 3.7(4) x=0.5
Notice that the intersection between both functions on the positive values of x is near the line x=2. From the provided options, the closest to that value is 1.7
Then, the positive solution to f(x)=g(x) is closest to:
\(x=1.7\)As you increase the confidence level (everything else remaining the same), the width of the confidence interval increases.
True or False?
Answer:
True
Step-by-step explanation:
The interval will increase because there will be a wider scope into where the true population parameter could be. By decreasing it, you sacrifice some of that scope, so options like 90% and 95% are good levels.
True. As you increase the confidence level (assuming everything else remains the same), the width of the confidence interval increases.
The confidence level represents the level of certainty or assurance that the population parameter falls within the calculated confidence interval. It is typically expressed as a percentage, such as 95% or 99%.
When all other factors remain constant, increasing the confidence level leads to a wider confidence interval. This is because a higher confidence level requires a greater level of certainty, which translates to a larger margin of error.
The margin of error is the range around the point estimate that accounts for the uncertainty in the estimation process. A higher confidence level requires a larger margin of error to capture a wider range of possible values for the population parameter.
To achieve a higher confidence level, the critical value associated with the chosen level of confidence increases, resulting in a wider interval. This wider interval indicates a greater range of possible values for the population parameter and therefore a less precise estimation.
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The cost of five cans of dog food is $3.55 at this price how much does 10 cans of dog food cost
Answer:
$7.10
Step-by-step explanation:
5 = $3.55
to get 10 cans you double the 5 cans
5 × 2 = 10 cans
$3.55 × 2 = $7.10
10 cans = $7.10
14.955 rounded to the nearest hundredth
Answer:
14.955 to the nearest hundredth is 14.96
Step-by-step explanation:
The hundredths place in this scenario is 5. If you round it up, you get 10, which means that it would turn into 6 since it comes after 5. In conclusion, the answer is 14.96.
Calculate the circumference and area of this circle. 4cm radius
Answer:
the circumference is 25.133 and the area is 50.265
Answer: Using the formula,
Area=π×r2.
Area=π×r2.
=π×(4 cm)2.
=16π cm2≈50.24 cm2.
Step-by-step explanation:
PLEASE HELPPP
Solve for x:
(3x−2)(x+7)=0
A) x=−23x=7
B) x=−23x=−7
C)x=23x=7
D)x=23x=−7
The sum of the square of a positive number and the square of 2 more than the number is 20. What is the number?
Answer:
Let one number = x
Let the other number = x + 2
Use these variables to establish appropriate equations.
x2 + (x + 2)2 = 52
Solve for x from this equation. Expand any terms to get rid of parentheses.
x2 + x2 + 4x + 4 = 52
Combine any like terms.
2x2 + 4x - 48 = 0
WE now have a quadratic equation. Factor out a 2.
2(x2 + 2x - 24) = 0
Factor completely.
2(x + 6)(x - 4) = 0
Set the binomial factors equal to zero.
x + 6 = 0 and x - 4 = 0
Solve for x from these parts. Choose the positive x value.
Q. You've been given a twenty dollar bill that you need to break into smaller bills and coins in order to make change. You break it into three (3) five-dollar bills, and three (3) one-dollar bills. How many quarters do you need to complete the conversion?
Harry has h candy bars. Jackie has 23 more than Harry. Jackie has 45 candy bars. Set up, solve, and check an algebraic equation involving ADDITION to determine how many candy bars Harry has.
Answer:
Harry has 22 candy bars
Step-by-step explanation: H = J-23
which is H = 45 - 23
selecting players how many ways can 5 baseball players and 3 basketball players be selected from 12 baseball players and 13 basketball players?
There are 1078 different combinational methods to choose five baseball players and four basketball players from a pool of twelve baseball players and thirteen basketball players.
5 baseball players and 4 basketball players are chosen from a pool of 12 baseball players and 13 basketball players.
This is an issue of combination.
The combination is a way of estimating an event's total outcome when the sequence of the outcomes is irrelevant.
The formula is as follows: \({}^{n}C_{r}\) = n! ÷ (r! × (n - r)!)
Where n is the total number of things and r is the number of items picked at one time.
Let us first compute 5 baseball players from a total of 12 baseball players.
In this case, n = 12 and r = 5.
\({}^{12}C_{5}\) = 12! ÷ (5! × (12 - 5)!)
\({}^{12}C_{5}\) = 12! ÷ (5! × 7!)
The factorial of n for a number n is expressed as:
n! = n × (n-1) × (n-2) × (n-3) × .... × 2 × 1
Therefore,
\({}^{12}C_{5}\) = 12! ÷ (5! × 7!)
\({}^{12}C_{5}\) = 792
Similarly, 3 basketball players are chosen from a pool of 13 basketball players (n = 13 and r = 3).
\({}^{13}C_{3}\) = 13! ÷ (3! × (13 - 3)!)
\({}^{13}C_{3}\) = 13! ÷ (3! × 10!)
The factorial of n for a number n is expressed as:
n! = n × (n-1) × (n-2) × (n-3) × .... × 2 × 1
Therefore,
\({}^{13}C_{3}\) = 13! ÷ (3! × 10!)
\({}^{13}C_{3}\) = 286
As a result, the total number of methods is as follows:
\({}^{12}C_{5}\) + \({}^{13}C_{3}\) = 792 + 286
\({}^{12}C_{5}\) + \({}^{13}C_{3}\) = 1078
As a result, there are 1078 distinct methods.
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Which function models the data in the table below?
y = -1/2x + 5
y = -2x + 5
y = -1/2x + 10
y = -2x + 10
The function that models the data in the given table is: D. y = -2x + 10.
How to Write the Function that Models the Data in a Table?The function that models the data of a table can be expressed in the slope-intercept form as y = mx + b, where:
the slope = m = change in y / change in x.y-intercept = b.Find the slope of the function using two pairs of values from the table, (6, -2) and (10, -10):
Slope (m) = change in y / change in x = (-10 - (-2)) / (10 - 6)
Slope (m) = -8 / 4
Slope (m) = -2
Find the y-intercept (b) by substituting m = -2 and (x, y) = (6, -2) into y = mx + b:
-2 = -2(6) + b
-2 = -12 + b
-2 + 12 = b
10 = b
b = 10
To write the function, substitute m = -2 and b = 10 into y = mx + b:
y = -2x + 10
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Conctext:Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compoundsmonthly. How much will the CD be worth in 10 years?Question:Lori gets an offer from another bank that is also paying 6% on CD’s, but is compounding interest daily. How much will the CD be worth in 10 years?
Compound Interest
The final value of an investment of P dollars for t years at an interest rate of r is given by:
\(FV=P\mleft(1+\frac{r}{m}\mright)^{m\cdot t}\)Where m is the number of compounding periods per year.
(a)
Lori buys a CD for P = $1500 that earns r = 6% = 0.06 interest compounded monthly for t = 10 years. Here m = 12 because there are 12 months in a year.
Substituting:
\(\begin{gathered} FV=1500\mleft(1+\frac{0.06}{12}\mright)^{12\cdot10} \\ \text{Calculate:} \\ FV=1500(1.005)^{120} \\ FV=2729.10 \end{gathered}\)The CD will be worth $2729.10 in 10 years.
(b) If the interest compounds daily, then m = 360. Calculating:
\(\begin{gathered} FV=1500\mleft(1+\frac{0.06}{360}\mright)^{360\cdot10} \\ FV=1500(1.0001666)^{3600} \\ FV=2733.04 \end{gathered}\)The CD will be worth $2733.04 in 10 years.
(c) For t = 5 years:
\(\begin{gathered} FV=1500\mleft(1+\frac{0.06}{360}\mright)^{360\cdot5} \\ FV=1500(1.0001666666)^{1800} \\ FV=2024.74 \end{gathered}\)The CD will be worth $2024.74 in 5 years.
All lines are straight or a triangle has four sides
Answer:all lines are straight
Step-by-step explanation:
-1/4d - 2/5d =39 solve for d
Answer:
-0,15
Step-by-step explanation:
I think that's it, I'll give an explanation in the comments in a sec
Meghan drew a scale drawing of a city. A neighborhood park is 12 inches wide in the drawing. The actual park is 144 yards wide. What is the scale of the drawing? 1 inch = ______ yards.
Using proportions, it is found that the scale of the drawing is:
1 inch = 12 yards.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The scale is that 144 yards are represented by 12 inches, hence:
144/12 = 12
Then, 1 inch = 12 yards.
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variation of the tower of hanoi: there are three poles in a row and 3n disks, three of each of n different sizes, where n is any positive integer. initially, one of the poles contains all the disks placed on top of each other in trios of decreasing size. disks are transferred one by one from one pole to another, but at no time may larger disk be placed on top of a smaller disk. however, a disk may placed on top of one of the same size. let tn be the minimum number of moves needed to transfer a tower of 3n disks from one pole to another. (a) find t1 and t2. (b) find t3. (c) find a recurrence relation for t1, t2, t3, . .
the minimum number of moves needed to transfer a tower of 3n disks from one pole to another. a) t1 = 2 , t2 = 6 b) t3 = 14 and
c) recurrence relation ( Tn ) = 2Tn-1 + 2
Tn = minimum number of moves needed
2n disks is moved from one pole to another
a) determine the value of t1 and t2
let n = 1
2n moves = 2 * 1 = 2
∴ t1 = 2
let n = 2
2n moves = 2*2 = 4
∴ t2 = 4 + t1 = 4 + 2 = 6
b) determine value of t3
let n = 3
2n moves = 2 * 3 = 6
∴ t3 = t1 + t2 + 6
= 2 + 6 + 6 = 14
c) Determine th recurrence relation
let n ≥ 2 i.e. n - 1 ≥ 1
number of disk required to be moved = 2n
number disks as follows : 1 to 2n
the recurrence relation = sum of number of moves in each step
Tn = Tn-1 + 2 + Tn -1
hence recurrence relation ( Tn ) = 2Tn-1 + 2 when all integers n ≥ 2
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