The probability that Carter will enter the correct password in no more than two attempts is 2/3.
What is probability?
The extent to which something is probable; the likelihood of something happening or being the case.
There are 5 odd digits: 1, 3, 5, 7, 9. Since Carter remembers that 2 of the digits are the same, there are only 3 possible choices for the missing digits: (1, 1), (3, 3), or (5, 5). Therefore, there are only 3 possible passwords that he could try.
Since he has two attempts, the probability of entering the correct password in no more than two attempts is the probability of entering the correct password on the first attempt plus the probability of entering the correct password on the second attempt if he fails on the first attempt.
The probability of entering the correct password on the first attempt is 1/3, since there are 3 possible passwords and only one of them is correct.
If he fails on the first attempt, there are only 2 passwords left, and one of them is correct. Therefore, the probability of entering the correct password on the second attempt is 1/2.
So the total probability of entering the correct password in no more than two attempts is:
1/3 + (2/3) * (1/2) = 1/3 + 1/3 = 2/3
Therefore, the probability that Carter will enter the correct password in no more than two attempts is 2/3.
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PLEASE HELP ME :)
At a track meet, you time a friend running 100 m in 11.00 seconds. The officials time her as well. You find that you have an error of 3.09%. What are the two possible official times your friend ran the 100 meters?
Answer:
sorry but i need the answer too pls answer the question
Mr Sharma packed 42 kg of tea into one big bag and 6 small ones each of the same size the big bag contained 3/7 of the tea how many kg of tea did each small bag contain
Answer:
4kg
Step-by-step explanation:
Mr Sharma packed 42 kg of tea into one big bag and sox small bags each of the same size
The first step is to calculate the quantity in the big bag
= 3/7 × 42
= 3×6
= 18
The amount left in the remaining bags is
= 42-18
= 24
Therefore the kg of tea in the small bags can be calculated as follows
= 24/6
= 4
Hence there are 4kg of tea in the small bags
A triangle has vertices at (-3,-3) ,(-3,2) and 1,2.Choose from the following all the possible ways to find the length of the hypotenuse of the triangle. Then calculate the actual length. Select all correct answers; more than one answer may be correct.a. Use the midpoint formula.b. The length of the hypotenuse is the square root of 20.c. Use the distance formula.d. Find the slope.e. The length of the hypotenuse is the square root of 41.f. Use the Pythagorean theorem.g. The length of the hypotenuse is 3.h. Not possible.
Step 1
Given; A triangle has vertices at (-3,-3) ,(-3,2) and 1,2.
Choose from the following all the possible ways to find the length of the hypotenuse of the triangle. Then calculate the actual length. Select all correct answers; more than one answer may be correct.
Step 2
The image of the triangle is seen below.
Thus, we can find the length of the hypotenuse by;
\(\begin{gathered} 1)\text{ using the distance formula} \\ D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ D=\sqrt{(-3-1)^2+(-3-2)^2} \\ D=\sqrt{(16+25)} \\ D=\sqrt{41} \\ Hypotenuse\text{ =}\sqrt{41} \end{gathered}\)\(\begin{gathered} 2)\text{ Pythagorean theorem} \\ The\text{ length of the other legs are;} \\ 4\text{ and 5 using the distance formula} \\ \end{gathered}\)Thus;
\(\begin{gathered} 4^2+5^2=hypotenuse^2 \\ hypotenuse=\sqrt{16+25} \\ hypotenuse=\sqrt{41} \end{gathered}\)Answer;
\(\begin{gathered} C)\text{ use the distance formula.} \\ E)\text{ The length of the hypotenuse is square root of 41.} \\ F)\text{ Use the Pythagorean theorem.} \end{gathered}\)i need help with question 13
Answer:
(1,9)
Step-by-step explanation:
a rotation of 180 causes the plotted point to be opposite of itself
PLEASE HELP LOOK AT THE PHOTO BELOW
The points are K(0, 6), L(-8, 0), J(9, 4).
Given that is a coordinate plane with Points K, L, J we need to determine the location of the points,
So,
You require the point's coordinates, which are made up of an x-coordinate (horizontal) and a y-coordinate (vertical), in order to label it on a coordinate plane.
So, Point K is at 6 units upwards from the origin so the point (0, 6) the x-intercept is zero.
Point L is 8 units vertically left side so the point is (-8, 0) here the y-intercept is zero.
Point J is 9 units vertically right side and 4 units upwards so the point is (9, 4).
Hence the points are K(0, 6), L(-8, 0), J(9, 4).
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Roberto took a standardized test and was told that he was in the 63rd percentile of the distribution. Which of the
following statements is true?
O Roberto's location in the distribution of test scores is 63 points from the center.
Roberto scored higher than 63% of the people who were also tested in this distribution.
Roberto scored lower than or equal to 63 people who were also tested in this distribution.
O Roberto scored as well as or higher than 63 people who were also tested in this distribution.
O Roberto scored lower than or equal to 63% of the people who were also tested in this distribution.
Answer:
higher than 63%
Step-by-step explanation:
researcher created three groups based on participants BMI: normal weight, overweight and obese. The hypothesis being tested is that the three groups differ in the mean number of artificially sweetened drinks consumed weekly. Which statistical test might the researcher use, assuming a reasonable normal distribution of values?
A repeated measures ANOVA
An independent group t test
One way ANOVA
A chi-squared test
To test the hypothesis of mean differences in artificially sweetened drink consumption among BMI groups, assuming a normal distribution, the researcher might use a one-way ANOVA.
The one-way ANOVA compares the means of three or more independent groups and determines if there are statistically significant differences among them. In this case, the BMI groups (normal weight, overweight, and obese) represent the independent groups, and the number of artificially sweetened drinks consumed is the dependent variable. By conducting a one-way ANOVA, the researcher can assess if there are significant differences in mean consumption among the BMI groups and draw conclusions regarding their hypothesis.
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Find the equation of a line that passes through the points (-1,3) and (1,-5). leave your answer in the form = + .
The equation of the line is \(\(y = -4x - 1\)\).
To find the equation of a line passing through two points, we can use the point-slope form of a linear equation:
\(\[y - y_1 = m(x - x_1),\]\)
where \(\((x_1, y_1)\)\) are the coordinates of one point on the line, and \(\(m\)\) is the slope of the line.
Given the points \(\((-1,3)\)\), \(\((1,-5)\)\), we can calculate the slope:
\(\[m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{(-5) - 3}}{{1 - (-1)}} = \frac{{-8}}{{2}} = -4.\]\)
Using the point-slope form with one of the points, let's use \(\((-1,3)\)\):
\(\[y - 3 = -4(x - (-1)),\]\)
Simplifying:
\(\[y - 3 = -4(x + 1),\]\)
\(\[y = -4x - 1\]\)
Therefore, the equation of the line passing through the points \(\((-1,3)\)\) and \(\((1,-5)\)\) is \(\(y = -4x - 1\)\).
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When a cylinder is intersected by a plane parallel to the bases, what is the resulting cross-section?.
When a cylinder is intersected by a plane parallel to the bases, the resulting cross-section is a circle.
A cylinder is a solid geometric figure which has two parallel, congruent bases.
The bases are connected by a curved surface called a lateral surface. If a plane is made to intersect a cylinder, the resulting cross-section can be circular or elliptical, depending on how the plane intersects the cylinder.
In this case, if the plane intersects the cylinder parallel to the bases, the resulting cross-section is a circle because any section taken parallel to the base of a cylinder is congruent to the base.
This is true for both right cylinders and oblique cylinders.
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Point D is on line segment CE.Given CD = X, DE = 7, and CE = 2x, determine the numerical length of CD
Answer:
CD = 7
Step-by-step explanation:
Since D is on the line segment CE then
CE = CD + DE , substitute values
2x = x + 7 ( subtract x from both sides )
x = 7
Thus
CD = x = 7
Answer:
7
Step-by-step explanation:
it's correct
1/2 s a termating ecimal
Hey there!
1/2
= 1 ÷ 2
= 0.50
≈ 0.5
≈ 50%
Thus, 1/2 is most likely a: terminating decimal
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help me please i am running low on time and i can not work it out. My teacher will get mad at me if i get this question wrong i think it is easy but i can't do it
Answer:
\(x \approx 14.5 \text{ m}\)
Step-by-step explanation:
We can represent the base of the smaller right triangle with the variable y.
Solving for y using the Pythagorean Theorem:
\(6^2 + y^2 = 11^2\)
\(y^2 = 11^2 - 6^2\)
\(y = \sqrt{121-36}\)
\(y = \sqrt{85}\)
Using this y-value, we can solve for x by applying the Pythagorean Theorem to the larger right triangle.
Remember that the total base is length (4 + \(\sqrt{85\)) meters.
\(6^2 + (4 + \sqrt{85})^2 = x^2\)
\(x=\sqrt{137+8\sqrt{85}}\)
Plugging this into a calculator, we get:
\(\boxed{x \approx 14.5}\)
Park rangers in Yosemite estimated the number of racoons in one hiking area. The rangers tagged 15 racoons in the hiking area. The following week they captured 40 racoons. If the park rangers estimated there were 75 in the area, how many of the captured racoons were tagged.
Answer:
8
Step-by-step explanation:
15 of 75 estimated raccoons in the area were tagged. So think of this as a ratio, 15:75.
Divide 75 by the 40 racoons that were captured and you get 1.87500. 75 divided by 1.87500 is the 40 raccoons captured. So 15 divided by the same amount is the number of raccoons with tags. Divide 15 by 1.87500 to find the missing value, which is 8.
A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 EndRoot feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply. The triangle is isosceles. The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot. The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.
Answer:
The leg-to-hypotenuse ratio is 1/√2
The ladder represents the longest length in the triangle.
Step-by-step explanation:
The set up in the question will b a right angled triangle
Length of the ladder will be the hypotenuse
The distance from the base of the wall to the base of the ladder is the adjacent
Height of the wall will be the opposite
Note that the longest side is always the hypotenuse (length of the ladder)
Given
length of the ladder = 12foot
The distance from the base of the wall to the base of the ladder = 6√2
The ratio of leg to hypotenuse = 6√2/12 = √2/2
√2/2 = √2/2 * √2/√2
√2/2 = √4/2√2
√2/2 = 2/2√2
√2/2 = 1/√2
Hence the leg-to-hypotenuse ratio is 1/√2
From the calculation the following are correct:
the leg-to-hypotenuse ratio is 1/√2
The ladder represents the longest length in the triangle.
Answer:
The leg-to-hypotenuse ratio is 1/√2
The ladder represents the longest length in the triangle.
The nonright angles are congruent
( B, D, E )
Step-by-step explanation:
Just did it on edge
Point a and point b have been plotted on a centimeter square grid.
When plotting a point on a centimeter square grid, it is essential to know the location of the x and y axes. The x-axis is the horizontal axis, while the y-axis is the vertical axis. Both axes meet at the origin point (0, 0). A point on the grid can be identified by its distance from the origin in the horizontal (x) and vertical (y) directions.
Each square on the grid represents one unit. When locating a point on the grid, it is essential to count the squares from the origin point along the x-axis and y-axis. The point is then identified by its coordinates (x, y). For instance, if a point is three units to the right of the origin point and two units up from the origin point, it would be located at (3, 2).
Similarly, points a and b on a centimeter square grid can be plotted by counting the number of units from the origin along the x and y axes. The point a can be located by counting x units to the right of the origin point and y units up from the origin point.
Similarly, the point b can be located by counting x units to the right of the origin and y units up from the origin point. The points a and b can be identified by their coordinates (xa, ya) and (xb, yb), respectively.
In conclusion, when plotting points on a centimeter square grid, it is essential to locate the x and y axes and count the number of squares from the origin point in the horizontal and vertical directions. The points can then be identified by their coordinates (x, y).
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jamie rides a ferris wheel for five minutes. the diameter of the wheel is 10 meters, and its center is 6 meters above the ground. each revolution of the wheel takes 30 seconds. being more than 9 meters above the ground causes jamie to suffer an anxiety attack. for how many seconds does jamie feel uncomfortable?
Jamie rides a ferris wheel for five minutes. the diameter of the wheel is 10 meters, and its center is 6 meters above the ground. each revolution of the wheel takes 30 seconds. being more than 9 meters above the ground causes jamie to suffer an anxiety attack.Jamie feels uncomfortable for 150 seconds.
To solve this question, we can calculate how long it takes for Jamie to reach the height of 9 meters.
The diameter of the wheel is 10 meters, so the circumference is 2π x 10 = 62.83 meters.
As each revolution of the wheel takes 30 seconds, Jamie would reach the height of 9 meters after
62.83 / 30 = 2.094 revolutions.
Therefore, it would take Jamie 2.094 x 30 = 62.83 seconds to reach the height of 9 meters and feel uncomfortable. Since Jamie rides the ferris wheel for five minutes, that would mean Jamie feels uncomfortable for
5 x 60 = 300 seconds minus
the time it took to reach the height of 9 meters, which is 300 - 62.83 = 150 seconds.
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Consider Juan Soto's wins above replacement statistics for the four seasons in the table. In which season did he have the greatest value to his team?
Answer: 2021
Step-by-step explanation:
over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. researchers surveyed a group of 273 randomly selected teen girls living in massachusetts (between 12 and 15 years old). after four years the girls were surveyed again. sixty-three said they smoked to stay thin. is there good evidence that more than thirty percent of the teen girls smoke to stay thin? the alternative hypothesis is:
We conclude that less than 30% of teen girls smoke to stay thin.
Let p be the percentage of teen girls who smoke to stay thin.
So, the Null Hypothesis,(\(H_{0}\)):
p≥ 30%
This means that at least 30% of teen girls smoke to stay thin
Alternate Hypothesis,(\(H_{A}\)) :
p < 30%
This means that less than 30% of teen girls smoke to stay thin.
The test statistics that would be used here
One sample z proportion statistics:
T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)
Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231
n = number of sample of teen girls = 273
Now putting these values we have:
Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)
= -2.705
So we get the value of z-test statistics as - 2.705.
As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.
As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore we get that less than 30% of teen girls smoke to stay thin.
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HELP PLSSSSSSS
Which function is differentiable for all values of x over the interval (-5,5)?
Answer:
1
Step-by-step explanation:
The function f(x)=e⁴⁻ˣ is differentiable for all values of x over the interval (-5,5)
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
There are a few ways to tell- the easiest would be to graph it out- and ask yourself a few key questions
Function is continuous over the interval. If it is continuous it is probably differentiable
Does the function have any sharp turns in the interval. A sharp turn means it is not differentiable at that point and therefore not differentiable on the entire interval
f(x)=e⁴⁻ˣ is differentiable over (-5, 5)This is because the exponential function is continuous and infinitely differentiable
Hence, the function f(x)=e⁴⁻ˣ is differentiable for all values of x over the interval (-5,5)
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Identify the class that had more than half 2.5 or better GPAS for the five decades A. Jr B. So C. Fr D. Sr
The class that had more than half 2.5 or better GPAs for the five decades is the Senior (Sr) class.
GPAS refers to Grade Point Average (GPA) that is calculated by adding the total number of grade points earned and dividing by the total number of credits attempted.
A decade is a period of ten years, used especially as a unit of time or history. It is often used in everyday speech and various fields such as science, technology, and history.
The senior class had more than half 2.5 or better GPAs for the five decades. So, the correct answer is option D (Sr).
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Spencer needs 2 gallons of paint to create a mural.
He has gallon of yellow paint and į gallon of blue paint.
Drag amounts of paint Spencer can add to the paint he already has to make exactly 2
gallons of paint
Answer:
I don't exactly know how to answer this, maybe I need more information. But if not, then all he can do is add one gallon of yellow paint and one gallon of blue paint. If that's all the paint he has, that is all he can add. Is there a diagram that's supposed to go with this? If not, hope I answered your quesiton.
Consider strings of length n over the set {a, b, c, d}. a. How many such strings contain at least one pair of adjacent characters that are the same? b. If a string of length ten over {a, b, c, d} is chosen at random, what is the probability that it contains at least one pair of adjacent characters that are the same?
a. The number of strings containing at least one pair of adjacent characters that are the same is 4^n - 4 * 3^(n-1), where n is the length of the string. b. The probability that a randomly chosen string of length ten over {a, b, c, d} contains at least one pair of adjacent characters that are the same is approximately 0.6836.
a. To count the number of strings of length n over the set {a, b, c, d} that contain at least one pair of adjacent characters that are the same, we can use the principle of inclusion-exclusion.
Let's denote the set of all strings of length n as S and the set of strings without any adjacent characters that are the same as T. The total number of strings in S is given by 4^n since each character in the string can be chosen from the set {a, b, c, d}.
Now, let's count the number of strings without any adjacent characters that are the same, i.e., the size of T. For the first character, we have 4 choices. For the second character, we have 3 choices (any character except the one chosen for the first character). Similarly, for each subsequent character, we have 3 choices.
Therefore, the number of strings without any adjacent characters that are the same, |T|, is given by |T| = 4 * 3^(n-1).
Finally, the number of strings that contain at least one pair of adjacent characters that are the same, |S - T|, can be obtained using the principle of inclusion-exclusion:
|S - T| = |S| - |T| = 4^n - 4 * 3^(n-1).
b. To find the probability that a randomly chosen string of length ten over {a, b, c, d} contains at least one pair of adjacent characters that are the same, we need to divide the number of such strings by the total number of possible strings.
The total number of possible strings of length ten is 4^10 since each character in the string can be chosen from the set {a, b, c, d}.
Therefore, the probability is given by:
Probability = |S - T| / |S| = (4^n - 4 * 3^(n-1)) / 4^n
For n = 10, the probability would be:
Probability = (4^10 - 4 * 3^9) / 4^10 ≈ 0.6836
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60 marks out of 75 full marks
express in percent
1
NI
16
Which of the following is equivalent to
?
8
12
64
Answer:
16 is equivalent to 8 12 and 64
Step-by-step explanation:
what's the perimeter of the isoceles triangle shown below?
Answer:
16
Step-by-step explanation:
by using pythagorean theorem we know that the equal sides of the isosceles triangle are 5 units in length while the bottom side appears to be 6 units in length.
so we the perimeter is 16
5. Find the perimeter and area
*Triangle- based prism*
Step-by-step explanation:
for the perimeter you have to say two brackets live plus height plus with plastic
What is the relationship between the volume of a rectangular prism and the volume of a pyramid with the same height and base?
The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.
How to find the volume of a rectangular prism and pyramid?
The formula for the volume of a rectangular prism is:
Volume = Length * Width * Height
The formula for the volume of a pyramid is:
Volume = (Base Area * Height) / 3
The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.
This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.
Hence, the volume of the rectangular prism is greater than the volume of the pyramid with the same height and base. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.
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Your father has always told you that you have mechanical abilities. The first time you try to fix your bike, you fail miserably. Group of answer choices reflected appraisal cognitive conservatism distorted feedback self-fulfilling prophecy
The term that best describes this scenario is "self-fulfilling prophecy."
This is because a self-fulfilling prophecy occurs when an individual believes something to be true, and as a result, they act in ways that cause that belief to become reality. In this case, the individual's father had always told them that they had mechanical abilities, which led the individual to believe that they were good at fixing things.
However, when they tried to fix their bike for the first time and failed miserably, this experience could reinforce the belief that they are not good at mechanical tasks. This could lead to the individual avoiding mechanical tasks in the future, further reinforcing the belief that they are not good at them. Therefore, it is important to recognize self-fulfilling prophecies and try to break the cycle by challenging negative beliefs and trying new things to build confidence and competence.
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What is the area of the composite figure? ___ units^2
Answer:
34 square units
Step-by-step explanation:
The figure can be considered to be a trapezoid with a rectangle removed.
The area of the trapezoid is ...
A = (1/2)(b1 +b2)h
A = (1/2)(10 +6)(5) = 40
The area of the rectangle is ...
A = LW
A = (3)(2) = 6
Then the area of the shaded portion of the figure is ...
shaded area = trapezoid area - rectangle area
= 40 - 6 = 34 . . . square units
helppppp this dont make any sense rk me geometry proofs
Answer:
D) same side interior angles are supplementary
Step-by-step explanation:
In the attachment, yellow is what we're given and need to prove.
Green are the 2 angles that are congruent.
Blue are the 2 angles that we are given that are supplementary, with the reason that 2 angles forming a linear pair sum to 180 degrees.
Red are the 2 angles that are supplementary also, but have to find the reaosn.
We can use process of elimination as one way.
Option A is incorrect because we can see that the red angles aren't vertical.
Option B and C are incorrect because the statement isn't asking for congruency, it's asking for supplementary angles.
Option D is correct because it has to do with supplementary angles.
Also, these 2 angles are supplementary because they are same side interior angles with a transversal cutting through the 2 parallel lines.
Thus, option D is correct.
Hope this helps! :)