The sample size required if we wish to develop a 90% confidence interval for the average diameter is more than 0.1 units.
To decide the test estimate required for a 90% certainty interim for the normal distance across, we have to know the taking after :
1. The level of certainty (which is 90% in this case).
2. The standard deviation of the populace (which we'll expect is known).
3. The margin of error (which is the greatest separation between the test cruel and the genuine populace cruel that we're willing to endure).
Assuming we know the standard deviation of the populace, ready to utilize the equation:
n = (z²* σ²) / E²
where:
n is the test measure
z is the z-score compared to the level of certainty (which is 1.645 for 90% certainty)
σ is the standard deviation of the populace
E is the edge of mistake
We ought to select esteem for E, which speaks to the most extreme separation between the test cruel and the genuine populace cruel(mean) that we're willing to endure.
For case, in the event that we need the interim to have a width of no more than 0.1 units, at that point we would select E = 0.1/2 = 0.05.
So, stopping within the values we know, we get:
n = (1.645² * σ²) / E²
In case we accept that the standard deviation of the populace is 0.5 units (fair as a case), at that point we get:
n = (1.645² * 0.5²) / 0.05²
n = 67.65
Adjusting up to the closest numbers, we would require a test estimate of 68 to create a 90% confidence interim for the normal breadth with an edge of blunder of no more than 0.1 units.
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A special deck of cards has 6 red cards, and 5 black cards. The red cards are numbered 1, 2, 3, 4, 5, and 6. The black cards are numbered 1, 2, 3, 4 and 5. The cards are well shuffled and you randomly draw one card.
a) Number of elements in sample size is 11.
b) Probability P(E) is 0.45.
a) The sample space is the set of all possible outcomes when drawing a single card from the deck. Since there are 11 cards in total, the sample space has 11 elements.
b) We want to find the probability of drawing an even-numbered card, which includes the red cards numbered 2, 4, and 6, and the black cards numbered 2 and 4. There are five such cards in total, so the probability of drawing an even-numbered card is:
P(E) = number of even-numbered cards / total number of cards
P(E) = 5 / 11
P(E) = 0.4545 or approximately 0.45
Therefore, the probability of drawing an even-numbered card from the deck is about 0.45.
Correct Question:
A special deck of cards has 6 red cards, and 5 black cards. The red cards are numbered 1, 2, 3, 4, 5, and 6. The black cards are numbered 1, 2, 3, 4 and 5. The cards are well shuffled and you randomly draw one card.
R = card drawn is Red
E = card drawn is even-numbered
a) How many elements are there in the sample space.
b) What is the probability P(E).
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Which is a diagonal through the interior of the cube?
G
OBE
A
I
1
1
E,L
Mark this and return
D
H
B
F
Save and Exit
Next
Submit
REPORTING WRONG ANSWERS
The value of a diagonal through the interior of the cube is, BG.
We have to given that;
A cube is shown in figure.
Now, By the given cube, We get;
The value of a diagonal through the interior of the cube is,
⇒ BG.
Thus, The value of a diagonal through the interior of the cube is, BG.
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[tex]x^{2} +6x+8\\[/tex]
For the equation x²+6x+8 the roots are -4 and -2.
The given equation is x²+6x+8
We have to find the roots of the equation
x²+6x+8
Let us factorize the equation to find the roots
x²+4x+2x+8
x(x+4)+2(x+4)
(x+2)(x+4)
x=-2 and x=-4 are the roots
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Ans the following question
The answers to the quadratic equations are as follows:
13. Option A. f(x) = x² - 4x + 5
14. Option A. fx = x 2 4x + 7
15. Option B. (-3, 2)
How did we get the values?13. f(x) = x² - 4x + 5
Identify the coefficients
a = 1, b = -4
Substitute the coefficients into the expression
X = – (- 4)/2×1
Solve the equation
x = 2
Evaluate the function for x = 2
f(x) = x² - 4x + 5, x = 2
Calculate the function value
f(2) = 1
The vertex is at (2,1)
14. Option A. fx = x 2 4x + 7
Identify the coefficients
a = 1, b = -4
Substitute the coefficients into the expression
X = – (-4)/2×1
Solve the equation
x = 2
Evaluate the function for x = 2
X:
f(x) = x² - 4x + 7, x = 2
Calculate the function value
f(2) = 3
The vertex is at (2,3)
15. Option B. (-3, 2)
f(x) = x+x-6
Identify the coefficients
a = 1, b = 1
Substitute the coefficients into the expression
-1/ 2×1
Solve the equation
X = -1 /2
Evaluate the function for x = - ½
f(x) = x²+x-6, x = - ½
Calculate the function value
f (-½) = - 25/4
(-½, -25/4)
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A certain oat cereal manufacturer boasts that adults who eat its cereal every day have lower cholesterol levels. To test this claim, a nurse measures the cholesterol levels of 18 patients. These patients are instructed to eat the oat cereal every day for four weeks. At the end of this four-week period, the nurse measures the cholesterol levels again. The differences in cholesterol levels (before – after) are listed. A negative difference means that a patient’s cholesterol level increased over the four weeks.
–18, 5, 9, –1, 0, 4, 3, –2, 0, 11, 5, 12, –5, 1, –3, 4, 8, 9
Assuming the conditions for inference are met, what is the test statistic for testing the hypotheses H Subscript 0 Baseline: Mu Subscript difference Baseline = 0; H Subscript alpha Baseline: mu Subscript difference Baseline greater-than 0 ?
t = StartStartFraction 2.33 minus 0 OverOver StartFraction 7.06 Over 18 EndFraction EndEndFraction
t = StartStartFraction 2.33 minus 0 OverOver StartFraction 7.06 Over StartRoot 18 EndRoot EndFraction EndEndFraction
t = StartStartFraction 0 minus 2.33 OverOver StartFraction 7.06 Over 18 EndFraction EndEndFraction
t = StartStartFraction 0 minus 2.33 OverOver StartFraction 7.06 Over StartRoot 18 EndRoot EndFraction EndEndFraction
answer b
The test statistic is positive and greater than the critical value for a one-tailed test with 17 degrees of freedom and a significance level of 0.05.
To determine if there is sufficient evidence to reject the null hypothesis, a test statistic must be calculated. In this case, the appropriate test is a one-sample t-test because the population standard deviation is unknown and the sample size is less than 30. The formula for the test statistic is:
t = (x - μ) / (s / √n)
where x is the sample mean of the differences, μ is the hypothesized value of the population mean difference, s is the sample standard deviation of the differences, and n is the sample size.
Plugging in the given values, the test statistic is:
t = (3.83 - 0) / (7.06 / √18) ≈ 2.33
The test statistic measures how many standard errors the sample mean is away from the hypothesized population mean under the null hypothesis. A larger t-value indicates stronger evidence against the null hypothesis and in favor of the alternative hypothesis.
In this case, since the test statistic is positive and greater than the critical value for a one-tailed test with 17 degrees of freedom and a significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that the oat cereal may lead to lower cholesterol levels.
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ANGEL CHARGES A FLAT RATE OF $25 AND 10$ per hour to babysit. Which expression gives angela the total amount of money she will make per hour? A y=25 x + 10 B y=10x+25 X y=35x y=25(x+10)
The expression that gives Angela the total amount of money she will make per hour is y = 10x + 25.
In equation y = 10x + 25, x represents the number of hours she babysits, and y represents the total amount of money she will make, which is equal to the flat rate of $25 plus $10 per hour.
So, for example, if she babysits for 3 hours, the total amount of money she will make is:
y = 10(3) + 25 = 30 + 25 = $55
Therefore, the correct answer is A, y = 10x + 25.
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brainliest and 100 points! i really appreciate the help, and please let me know if you need help on anything, thanks!!
Given that the triangles are congruent, we can conclude that
ΔBRN is the image of one or more rigid transformations on ΔQGLThe area of ΔQGL equals the area of ΔBRNLG ≅ NR∠LQG = ∠NBRCongruent trianglesFrom the question, we are to determine what can be concluded from the fact that triangle QGL and triangle BRN are congruent
If ΔQGL and ΔBRN are congruent, we can infer that
QG = BR
LG = NR
QL = BN
Also, in terms of angles
∠LGQ = ∠NRB
∠QLG = ∠BNR
∠LQG = ∠NBR
In addition,
If two triangles are congruent, the areas of the triangles will be equal to each other
Thus,
We can conclude that
ΔBRN is the image of one or more rigid transformations on ΔQGLThe area of ΔQGL equals the area of ΔBRNLG ≅ NR∠LQG = ∠NBRLearn more on Congruent triangles here: https://brainly.com/question/10713965
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Last year at a certain high school, there were 100 boys on the honor roll and 50 girls on the honor roll. This year, the number of boys on the honor roll increased by 19% and the number of girls on the honor roll increased by 20%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Pls help im d.u.m.b
The total number of students on the honor roll increased by approximately 19.3%.
What is percenatge?
Percentage is a way of expressing a fraction or a portion of a whole number as a portion of 100. It is often denoted by the symbol %. For example, 50% represents 50 parts out of 100, or 50/100, which simplifies to 1/2.
Let's first find the total number of students on the honor roll last year:
Total number of students on the honor roll last year = 100 (boys) + 50 (girls) = 150
This year, the number of boys on the honor roll increased by 19%, which means the new number of boys on the honor roll is:
New number of boys on the honor roll = 100 + 0.19(100) = 119
Similarly, the new number of girls on the honor roll is:
New number of girls on the honor roll = 50 + 0.20(50) = 60
Therefore, the total number of students on the honor roll this year is:
Total number of students on the honor roll this year = 119 (boys) + 60 (girls) = 179
The percentage increase in the total number of students on the honor roll is:
Percentage increase = [(Total number of students on the honor roll this year - Total number of students on the honor roll last year) / Total number of students on the honor roll last year] x 100%
Percentage increase = [(179 - 150) / 150] x 100% = 19.3%
Therefore, the total number of students on the honor roll increased by approximately 19.3%.
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Peter has three sticks measuring 19 inches, 23 inches, and 27 inches. He lays them down to form a triangle. Find the measure of the angle enclosed by the 19 inch and 23 inch sides to the nearest degree.
The measure of the angle enclosed by the 19 inch and 23 inch sides is 81 degrees in the triangle.
In a triangle, the sum of the measures of the three angles is always 180 degrees.
Let the angle enclosed by the 19 inch and 23 inch sides x.
The Law of Cosines states that for a triangle with sides a, b, and c, and angle C opposite side c:
c² = a² + b² - 2ab cos(C)
Let's choose the 27 inch side as side c.
Then we have:
27² = 19² + 23²- 2(19)(23)cos(x)
729 = 850 - 874cos(x)
-121 = -874cos(x)
cos(x) = 0.1386
x=81 degrees
Hence, the measure of the angle enclosed by the 19 inch and 23 inch sides is 81 degrees.
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Which triangle congruence postulate or theorem proves that these triangles are
congruent?
1
K
Figure (i)
28
M
X
Figure (ii)
2
pls help!!
Answer: figure ii
Step-by-step explanation:
How many minutes are in two days
2880 minutes in 2 days.
One day has 24 hours in it.
One hour = 60 minutes
One day in minutes = 24*60 = 1440 minutes
Two days in minutes = 1440 * 2 = 2880 minutes.
Answer:
2880
Step-by-step explanation:
4320÷3=1440
1440+1440=2880
Hope this helps!
The diameter of a hat is 5.3 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
22.05 inches
16.64 inches
8.32 inches
1.69 inches
Find the selling price. original price: $20.00 percent of markup: 15%
The selling price of the item after a percentage of markup by 15 % is given by S = $ 23
Given data ,
Let the initial price of the item be A = $20
Now , let the selling price of the item after percentage mark up be S
where percentage markup = 15 %
So , the amount of markup is M = ( 15 )% x 20
M = 20 x 0.15
M = $ 3
And , the selling price S = A + M
S = $ 20 + $ 3
S = $ 23
Hence , the selling price is S = $ 23
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9. F(2,-6) and G(-8, 5)
Find the coordinates of the mid point of the segment given its endpoints
Answer:
midpoint = (-3,-0.5)
Step-by-step explanation:
To work out the x-axis of the midpoint, take the two x-axis values of the coordinates given and find the difference of the two values. So the equation becomes 2--8 which equals 10. Now the midpoint means half way so we half 10 to get 5. Now we can take (2,-6) and minus 5 from the x-axis to get the x-axis of the midpoint. 2 - 5 = -3. The x-axis of the midpoint is -3.
To work out the y-axis of the midpoint, take the two y-axis values of the coordinates given and find the difference of the two values. So the equation becomes -6-5=-11 Now the midpoint means half way so we half -11 to get -5.5. Now we can take (2,-6) and add 5.5 from the y-axis to get the y-axis of the midpoint. -6 + 5.5 =-0.5. The y-axis of the midpoint is -0.5
a box contains numbered tickets. a sample of 100 tickets is drawn at random, with replacement. the standard deviation of the numbers in the sample is 2. the sum of the numbers on the tickets in this sample is 540. what is the 95% confidence interval for the average of the numbers in the box?
The 95% confidence interval for the average of the numbers in the box is 5.4 ± (1.984 × 0.2), or (5.0, 5.8).
To calculate the confidence interval for the average of the numbers in the box, we need to use the central limit theorem since we have a sample size of 100, which is relatively large. The central limit theorem states that the distribution of the sample means approaches a normal distribution as the sample size increases.
We need to calculate the sample mean by dividing the sum of the numbers on the tickets by the sample size: 540/100 = 5.4.
We need to calculate the standard error of the mean, which is equal to the standard deviation of the population divided by the square root of the sample size. Since we do not know the standard deviation of the population, we can use the standard deviation of the sample instead:
[tex]2/ \sqrt{} (100)[/tex]
= 0.2.
The 95% confidence interval for the population mean can be calculated by multiplying the standard error of the mean by the critical value from the t-distribution with n-1 degrees of freedom (99 degrees of freedom in this case) and adding/subtracting this value from the sample mean.
Using a t-distribution table or calculator, we can find that the critical value for a 95% confidence level with 99 degrees of freedom is 1.984. This means we are 95% confident that the true population mean falls within this interval.
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Point W is located at (-3,5) Point C is located at (4,5) Construct rectangle WXYZ
The construction of the rectangle WXYZ is given below.
To construct a rectangle WXYZ with vertices W(-3,5) and X(4,5), we need to find the coordinates of the other two vertices Y and Z.
As per the rectangle property, the opposite sides have equal lengths.
To find the distance such as XY = WZ.
The y- coordination should be zero and the x-coordinate will be equal to the x-coordinate of the opposite side.
Therefore, the coordinates are:
W(-3,5), X(4,5), Y(-3,0), and Z(4, 0).
The diagram of the rectangle with coordinates W(-3,5), X(4,5), Y(-3,0), and Z(4, 0) is given in the attached image below.
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The complete question:
Point W is located at (-3,5) Point X is located at (4,5) Construct rectangle WXYZ.
what has a slope of 15?
A slope of 15 simply means that the rate of change of the value on the y-axis with respect to the x-axis is equal to 15.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting an assumed data points into the slope formula, we have the following;
Slope (m) = (80 - 20)/(6 - 2)
Slope (m) = 60/4
Slope (m) = 15.
In this context, we can reasonably infer and logically deduce that a slope of 15 denotes the rate of change of a straight line on a graph.
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Find the equation. Through (-2,-11); perpendicular to the line passing through (1, 1) and (5, -1)
The equation of the line that passes through (-2, -11) that is perpendicular to the given line is: y = 2x - 7.
How to Find the Equation of Perpendicular Lines?Recall that the slope of a line is the change in y over the change in x along the line, and also, the slope of two lines that are perpendicular to each other will be negative reciprocals to each other.
Therefore, find the slope between (1, 1) and (5, -1):
Slope (m) = change in y / change in x = -1 - 1 / 5 - 1
m = -2/4
m = -1/2.
The line that is perpendicular to it will have a slope that is negative reciprocal to -1/2, which is 2.
Substitute m = 2 and (a, b) = (-2, -11) into y - b = m(x - a)
y - (-11) = 2(x - (-2))
y + 11 = 2(x + 2)
y + 11 = 2x + 4
y = 2x + 4 - 11
y = 2x - 7 (equation of perpendicular line)
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It cost Ximena $3.40 to send 68 text messages. How
many text messages did she send if she spent $2.45?
Answer:
49 text messages
Step-by-step explanation:
3.49/68 = 0.05 oer text
we can use this unit rate for text sent $2.45
$2.45/.05 per text message = 49 text messages
please help me figure this out for 100 points
Answer:
Step-by-step explanation:
If 9 units = 36 inches,
then 9 ÷ 9 = 36 ÷ 9 inches
∴ 1 unit = 36/9 inches
Answer:
The answer is 4/1(in)
Step-by-step explanation:
1/9 yard to in
1yd=36in
1/9yards=4in
and
9unit=36in
1 unit=36/9
1unit=4in
therefore 1unit=1/9yards
suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.4 and a mean diameter of 209 inches. if 69 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 209.1 inches? round your answer to four decimal places.
Answer:
To solve this problem, we need to use the central limit theorem, which states that the distribution of the sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
Given that the sample size is n = 69, the mean diameter of the population is μ = 209 inches, and the standard deviation of the population is σ = 2.4 inches.
We need to find the probability that the mean diameter of the sample shafts would be less than 209.1 inches, which can be written as:
P(X < 209.1)
To solve this problem, we need to use the central limit theorem, which states that the distribution of the sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
Given that the sample size is n = 69, the mean diameter of the population is μ = 209 inches, and the standard deviation of the population is σ = 2.4 inches.
We need to find the probability that the mean diameter of the sample shafts would be less than 209.1 inches, which can be written as:
P(X < 209.1)
To standardize this value, we need to calculate the z-score as follows:
z = (X - μ) / (σ / sqrt(n))
z = (209.1 - 209) / (2.4 / sqrt(69))
z = 0.4639
We can now find the probability using the standard normal distribution table or a calculator:
P(Z < 0.4639) = 0.6779
Therefore, the probability that the mean diameter of the sample shafts would be less than 209.1 inches is approximately 0.6779, rounded to four decimal places.
In this case, the population mean is 209 inches, and the sample mean we're interested in is 209.1 inches. So the z-score would be:
z = (209.1 - 209) / 0.2898 = 0.3456
Therefore, the probability that the mean diameter of the sample shafts would be less than 209.1 inches is 0.6368, rounded to four decimal places.
To answer your question, we will use the Central Limit Theorem and the z-score formula. Here are the steps:
we can use the formula for the z-score of the sample mean, which is:
z = (sample mean - population mean) / standard error
1. Find the mean (μ) and standard deviation (σ) of the population.
μ = 209 inches
σ = 2.4 inches
2. Determine the sample size (n) and the mean diameter you want to calculate the probability for (x).
n = 69
x = 209.1 inches
3. Calculate the standard error (SE) of the sample mean using the formula: SE = σ / √n
SE = 2.4 / √69 ≈ 0.2892
4. Calculate the z-score using the formula: z = (x- μ) / SE
z = (209.1 - 209) / 0.2892 ≈ 0.3455
5. Find the probability that the mean diameter of the sample shafts would be less than 209.1 inches by looking up the z-score in a z-table or using a calculator that can compute normal probabilities.
P(Z < 0.3455) ≈ 0.635
The probability that the mean diameter of the sample shafts would be less than 209.1 inches is approximately 0.6350 or 63.50%.
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The 5th term of a linear sequence is 19
The 6th term of the sequence is 25
Work out the 100th term of the sequence.
Please use n as the unknown in any working
The 100th term of the sequence is 589.
Given that, the 5th term of a linear sequence is 19, and 6th term of the sequence is 25.
aₙ = a + (n-1) × d
a₆ - a₅ = d
d = 6
a₅ = a + (5-1) × 6
19 = a + 24
a = -5
Now,
a₁₀₀ = -5 + (100-1) × 6
a₁₀₀ = -5 + 99 × 6
a₁₀₀ = 589
Hence, the 100th term of the sequence is 589.
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Slope and y-Intercept
Find the slope and y-intercept of a line that passes through these points.
5. (2, 2) and (3, 0)
6. (1,5) and (4, 10)
7. (8, 2) and (-8, 6)
The slope and y-intercepts of each line, respectively, are:
5. m = -2; b = 6 6. m = 5/3; b = 10/3 7. m = -1/4; b = 4
What is the Slope of a Line?Slope of a line is calculated as, m = change in y / change in x.
5. Given (2, 2) and (3, 0):
Slope of the line (m) = change in y / change in x = 2 - 0 / 2 - 3
m = 2/-1
m = -2
To find the y-intercept (b), substitute m = -2 and (x, y) = (2, 2) into y = mx + b:
2 = -2(2) + b
2 = -4 + b
2 + 4 = b
b = 6
6. Given (1,5) and (4, 10):
Slope of the line (m) = change in y / change in x = 10 - 5 / 4 - 1
m = 5/3
To find the y-intercept (b), substitute m = 5/3 and (x, y) = (1, 5) into y = mx + b:
5 = 5/3(1) + b
5 - 5/3 = b
b = (15 - 5)/3
b = 10/3
7. Given (8, 2) and (-8, 6):
Slope of the line (m) = change in y / change in x = 6 - 2 / -8 - 8
m = 4/-16
m = -1/4
To find the y-intercept (b), substitute m = -1/4 and (x, y) = (8, 2) into y = mx + b:
2 = -1/4(8) + b
2 = -2 + b
2 + 2 = b
b = 4
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Tell whether the p = 6 is a solution of p + 5 ≤ 12.
Point B has coordinates (3,1). The x-coordinate of point A is -9. The distance between point A and point B is 13 units.
What are the possible coordinates of point A?
The possible coordinates of point A are
The possible coordinates of point A are (-9, -4) or (-9, 6)
What are the possible coordinates of point A?From the question, we have the following parameters that can be used in our computation:
B = (3, 1)
x coordinate of A = -9
Disyance = 13 units
The distance is calculated as
Distance = √[(x1 - x2)² + (y1 - y2)²]
substitute the known values in the above equation, so, we have the following representation
√[(-9 - 3)² + (y - 1)²] = 13
So, we have
144 + (y - 1)² = 169
This gives
(y - 1)² = 25
Evaluate
y - 1 = ±5
This gives
y =1 ± 5
So, we have
y = -4 and 6
Hence, the coordinates are (-9, -4) or (-9, 6)
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After obtaining two heads from two tosses of a coin, the probability of obtaining a head on the next toss is __________.
The probability of obtaining a head on the next toss of a coin after obtaining two heads from two tosses is still 1/2 or 50%.
This is because each coin toss is an independent event, and the outcome of one toss does not affect the outcome of another toss. Therefore, the fact that two heads have been obtained in the previous two tosses does not change the probability of obtaining a head on the next toss, which is always 1/2 or 0.5 for a fair coin.
What is probability?Probability is the likelihood of an event occurring. The values are between 0 and 1. The closer it is to 1, the greater the probability.
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Does anyone know the answers for Slope Digital Escape! puzzle #4
NEED HELP ASAP
Answer:
ECHA
Step-by-step explanation:
To find the slope, use the slope formula.
1) The image is very blurry, so I can't tell what the points are, but it looks like the slope is 1/2.
2) m=y2-y1/x2-x1
=0-(-4)/5-3
=4/2
=2
3) m=y2-y1/x2-x1
=(-3-(-6))/(-4-2)
=3/-6
=(-1/2)
4) It looks like -2 to me. The image is too blurry to be exact though.
I hope this is correct and helps you on your homework! Good luck!
Mieko bought
2
gallons of paint. She used
14
of the paint on her bedroom,
3
quarts on the hallway, and the rest of the paint in the living room. How many quarts of paint did Mieko use in the living room?
The quarts of paint used by Mieko to paint his living room is equal to 3 quarts.
Total paint bought by Mieko = 2 gallons
Amount of paint used to paint bedroom = 1/4 of the paint.
Amount of paint used on the hallway = 3 quarts
Since 1 gallon is equal to 4 quarts.
Convert gallons to quarts.
Mieko bought 2 gallons of paint, which is equivalent to 8 quarts
She used 1/4 of the paint on her bedroom,
which is 1/4 x 8 quarts = 2 quarts.
She also used 3 quarts of paint on the hallway.
This implies,
The total amount of paint used on the bedroom and hallway is equal to,
2 quarts + 3 quarts = 5 quarts
The amount of paint used in the living room is the remaining amount of paint is equal to,
8 quarts - 5 quarts = 3 quarts
Therefore, Mieko used 3 quarts of paint in the living room.
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The above question is incomplete, the complete question is:
Mieko bought 2 gallons of paint. She used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room. How many quarts of paint did Mieko use in the living room?
A school is constructing a rectangular play area against an exterior wall of the school
building. It uses 120 feet of fencing material to enclose three sides of the play area.
b
10
30
40
W
W
100 un gesa
е
24 for
a. Complete the table by giving the length and area for each width. (The width is
the side perpendicular to the building.)
school building
width (feet) length (feet) area (square feet)
160
60
40
(120-w)²
Perimeter = 112D
1/20
10
who nt
1,000
esh an
STA
consider the graph that represents the ratio of orange juice to pineapple juice xavier used to make his juice
The true statement is (b) Xavier used 15 oz of pineapple to with 24 oz of orange juice
Selecting the true statementFrom the question, we have the following parameters that can be used in our computation:
The graph that represents the ratio of orange juice to pineapple juice
The graph passes through the origin
So, we have
slope = 16/10
Evaluate
slope = 1.6
When pineapple juice is 15, we have
orange = 15 * 1.6
orange = 24
Hence, the true statement is b
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