The median weight of the black bass caught by the fisherman is 10.5 pounds.
To find the median, we need to arrange the weights in order from smallest to largest: {6, 7, 8, 12, 13, 14}. Since there are an even number of weights, the median is the average of the two middle values, which are 8 and 12. Therefore, the median weight is (8+12)/2 = 10.5 pounds.
The median is a measure of central tendency that represents the middle value in a dataset. It is less sensitive to extreme values than the mean and is useful for describing the typical value in a skewed distribution.
In this case, the median weight of 10.5 pounds indicates that half of the black bass caught by the fisherman weighed less than 10.5 pounds, and half weighed more than 10.5 pounds.
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A music stores finds that weekly revenue r(in pesos) earned by the store on the sale of cds is given by the equation r=2 x 2-10x. How many vds must be sold if the revenue form cds is to php 1000 per week?
Answer:
The number of cds to be sold to hit a weekly revenue of 1000 pesos is 25
Step-by-step explanation:
Here, we have the revenue function and we want to know the number of cds to be sold to hit a particular revenue value.
Mathematically from the question;
r = 2x^2 - 10x
in the question; r = 1000
so ;
2x^2 - 10x = 1000
divide through by 2
x^2 -5x = 500
so;
x^2 -5x -500 = 0
x^2 -25x + 20x -500 = 0
x (x -25) + 20(x -25) = 0
(x -25)(x + 20) = 0
x -25 = 0 or x + 20 = 0
x = -20 or 25
Since the number of cds cannot be negative, we only select x = 25 as the correct answer
3. Simplify 315-217+45 - 28 . (1 point)
2/12
O 212
O 615-417
6/10 -4114
The answer might be (45/29).
What is the value of d?
A.100 B.84 C.50 D.80
Answer:
A. 100
Step-by-step explanation:
84
Step-by-step explanation:
c + 100 =180
c=180-100
c=80
100+96+d+c=360
100+96+d+80=360
276+d=360
d=360-276
d=84
When examining group difference where the direction of the difference is specified, which of the following is used? Select one: a. two-tailed test b. one-tailed test C. directional hypothesis o d. critical value
When examining group differences with a specified direction, a one-tailed test is used i.e., option b is correct.
In statistical hypothesis testing, researchers often have a specific direction in mind when comparing two groups.
For example, they may hypothesize that Group A performs better than Group B or that Group A has a higher mean than Group B. In such cases, a one-tailed test is appropriate.
A one-tailed test is designed to detect differences in a specific direction. It focuses on evaluating whether the observed data significantly deviates from the null hypothesis in the specified direction.
The null hypothesis assumes no difference or no relationship between the groups being compared.
In a one-tailed test, the critical region is defined on only one side of the distribution, corresponding to the specified direction of the difference.
The critical value, which determines whether the observed difference is statistically significant, is chosen based on the desired level of significance (e.g., alpha = 0.05).
On the other hand, a two-tailed test is used when the direction of the difference is not specified, and the researchers are interested in determining whether there is a significant difference between the groups in either direction.
In this case, the critical region is divided equally between the two tails of the distribution.
A directional hypothesis (option C) is a statement that specifies the expected direction of the difference, but it is not the statistical test itself. The critical value (option D) is the value used to determine the cutoff for rejecting or accepting the null hypothesis.
Therefore, when examining group differences with a specified direction, a one-tailed test is used to assess the statistical significance of the observed difference in that particular direction.
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PLEASE HELP WITH MY MATH HOMEWORK
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Answer:
The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.
Step-by-step explanation:
To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:
s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)
= (96 +/- sqrt(9216 + 4352)) / -32
= (96 +/- sqrt(13,568)) / -32
Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:
s = (96 + sqrt(13,568)) / -32
= (96 + 120) / -32
= 0.5625 seconds
Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.
To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.
3. For his after-school job, Doug painted
25 fence posts in 350 minutes. If it took
Doug the same amount of time to paint
each fence post, how many minutes did
it take him to paint 1 fence post?
Answer:
14 minuts.
Step-by-step explanation:
350 divided by 25 is 14.
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Nathan is opening a savings account that has 10% streaks simple interest rate. He deposits $75 in the account. After 5 years, he will have $112.50 in his account. How many more dollars would Nathan earn after 5 years with a 10% compounded internet rate?
Answer:
brah
Step-by-step explanation:
Write and solve an equation to answer the question,
"18 is 32% of what number w?"
An equation is
= 0.32
The solution is w=
Answer:
the answer is 56.25
Step-by-step explanation:
.32x=18
×=56.25
At school 220 of the 380 students attend d the school dance which statement shows the values that are all equivalent to the fraction of students that attended the dance
The fractions of students that attended the dance is 11/19
Equivalent to the fraction of students that attended the danceFrom the question, we have the following parameters that can be used in our computation:
Number of students = 380
Number of students in attendance = 220
The fraction is then represented as
Fraction = Number of students in attendance/Number of students
Substitute the known values in the above equation, so, we have the following representation
Fraction = 220/380
Simplify
Fraction = 11/19
Hence, the fraction is 11/19
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ABCD is a parallelogram. If AB = 3x and CD = x+10, find AB
A parallelogram by definition is a four-sided figure with opposite sides that are parallel.
If that's the case, the length of opposite sides should be the same as well, meaning that:
\(AB=CD\)then,
\(\begin{gathered} 3x=x+10 \\ \text{solve for x} \\ 3x-x=10 \\ 2x=10 \\ x=\frac{10}{2} \\ x=5 \end{gathered}\)find AB
\(\begin{gathered} AB=3x \\ AB=3\cdot5 \\ AB=15 \end{gathered}\)A
The vertical dot plot shows the heights of the players on a recent NBA championship team A.write a statistical question that you can answer using by the dot plot then answer the question? Dot plot: 72;2 balls, 73;0 balls, 74;1 ball, 75:0 balls,76;2 balls,77;1 ball,78;0 balls ,79;2 balls,80;2 balls,81;2 balls,82;1 ball,83;1 ball,84;3 balls,85;1 ball. PLS HELP I NEED THIS ASAP
test the hypothesis using the p-value approach. be sure to verify the requirements of the test. h0: p
To test a hypothesis using the p-value approach, you need to follow these steps:
1. Formulate the null and alternative hypotheses:
- The null hypothesis, denoted as H0, states that there is no significant difference or relationship between the variables being studied.
- The alternative hypothesis, denoted as Ha or H1, states that there is a significant difference or relationship between the variables.
2. Verify the requirements of the test:
- Before performing the hypothesis test, you need to ensure that the assumptions and requirements of the test are met. These requirements may vary depending on the type of test and data you have. Common requirements include independence, random sampling, normality, and equal variances.
3. Choose an appropriate significance level (α):
- The significance level, denoted as α, is the predetermined threshold below which we reject the null hypothesis. Commonly used significance levels are 0.05 (5%) and 0.01 (1%).
4. Calculate the test statistic:
- The test statistic is a numerical value that summarizes the evidence against the null hypothesis. The specific test statistic depends on the type of hypothesis test being conducted. For example, if you're testing the difference between two population means, you might use the t-test or z-test.
5. Calculate the p-value:
- The p-value is the probability of obtaining a test statistic as extreme as the one observed, assuming that the null hypothesis is true. It measures the strength of the evidence against the null hypothesis. A small p-value suggests strong evidence against the null hypothesis, while a large p-value suggests weak evidence.
6. Make a decision:
- Compare the p-value to the significance level (α) you chose in step 3. If the p-value is less than or equal to α, reject the null hypothesis. If the p-value is greater than α, fail to reject the null hypothesis.
Remember that failing to reject the null hypothesis doesn't necessarily prove it to be true. It simply means that there is not enough evidence to support the alternative hypothesis.
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What is the radius of C? 5 cm 10 cm 12.5 cm 50 cm
Answer:
5 cm hope this helps
Step-by-step explanation:
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Answer:
5 cm
Hope this helps you don't need to mark me brainiest :)
samples of size 5 are selected from a manufacturing process. the mean of the sample ranges is 0.50. what is the estimate of the standard deviation of the population? (round your answer to 3 decimal places.)
The estimate value of the standard deviation of the population ( manufacturing process) is 0.125..
The standard deviations is estimated to be one fourth of the sample range (as most of data values are within two standard deviations of the mean).
We have given that,
A sample of manufacturing process.
Sample size, n = 5
Mean of sample ranges = 0.50
we have to calculate the estimate of standard deviations of population.
thus , we estimate the standard deviations as fourth of the mean of the sample ranges is
S = Mean of sample ranges/4
=> S = 0.50/4
=> S = 0.125
Hence, the standard deviation of the population is estimated as 0.125..
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The surface area of a rectangular prism is 174 square inches. The rectangular base has one side length 3 times the other. The height of the prism is 5 inches. What are the maximum lengths of the sides of the base?A. 6 inches and 18 inchesB. 8.7 inches and 26.1 inchesC. 4.35 inches and 13.05 inchesD. 3 inches and 9 inches
EXPLANATION:
We are given the following details for a triangular prism;
\(\begin{gathered} \text{Surface area}=174 \\ \text{Width}=w \\ \text{Length}=3w \\ \text{Height}=5 \end{gathered}\)Note that for the rectangular base, one side is 3 times the other. Hence, if the width is w, then the length would be 3 times w.
The surface area of a rectangular prism is;
\(S=2(wl+hl+hw)\)With the side lengths given we can now substitute and we'll have;
\(\begin{gathered} 174=2(\lbrack w\times3w\rbrack+\lbrack5\times3w\rbrack+\lbrack5w\rbrack) \\ 174=2(3w^2+15w+5w) \end{gathered}\)Divide both sides by 2;
\(\begin{gathered} 87=3w^2+15w+5w \\ 87=3w^2+20w \end{gathered}\)We shall now move all terms to one side of the equation;
\(3w^2+20w-87=0\)We can now solve this quadratic equationwith the quadratic equation formula;
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Where the variables are;
\(a=3,b=20,c=-87\)\(w=\frac{-20\pm\sqrt[]{20^2-4(3)(-87)}}{2(3)}\)\(w=\frac{-20\pm\sqrt[]{400+1044}}{6}\)\(w=\frac{-20\pm\sqrt[]{1444}}{6}\)\(w=\frac{-20\pm38}{6}\)\(w=\frac{38-20}{6},w=\frac{-38-20}{6}\)\(w=3,w=-9\frac{2}{3}\)We now have two solutions. We shall take the positive one since our side lengths cannot be a negative value.
Therefore having the width as 3, the length which is 3 times the width is 3 times 3 and that gives 9.
Therefore;
ANSWER:
\(D\colon3\text{inches and 9 inches}\)the solid line has length and makes an angle with the negative y-axis. what is the length of the dashed line?
The solid line has length and makes an angle with the negative y-axis, the length of the dashed line is l × cos(α).
Given, the solid line has length l and makes an angle α with the negative y-axis. By using trigonometry, we can determine the length of the dashed line using l and α. From the figure, we can see that: cos(α) = length of the adjacent side / length of the hypotenuse cos(α) = length of the dashed line / length of the solid line
Therefore, length of the dashed line = length of the solid line × cos(α)
Substituting the given values, length of the dashed line = l × cos(α)
Therefore, the length of the dashed line is l × cos(α).
The length of the dashed line is l × cos(α).
By using trigonometry, we can determine the length of the dashed line using l and α. From the figure, we can see that: cos(α) = length of the adjacent side / length of the hypotenuse cos(α) = length of the dashed line / length of the solid line. Therefore, length of the dashed line = length of the solid line × cos(α)Substituting the given values, length of the dashed line = l × cos(α).
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Given a curve $C$ defined by $\mathbf{r}(t)=\langle 3 t-3,3 t\rangle, 0 \leq t \leq 4$. The line integral $\int_C 2 x^2 \mathrm{~d} y$ is equal to
486
$-486$
None of the others
504
1512
The line integral of $2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486 according to the given information.
To calculate the line integral $\int_C 2x^2 \mathrm{~d}y$, we need to parameterize the curve $C$ and express $x$ and $y$ in terms of the parameter $t$. The given curve is defined as $\mathbf{r}(t) = \langle 3t-3, 3t \rangle$, where $0 \leq t \leq 4$.
Differentiating $\mathbf{r}(t)$ with respect to $t$, we have $\mathbf{r}'(t) = \langle 3, 3 \rangle$. Integrating $2x^2$ with respect to $y$ along the curve $C$ gives us:
$\int_C 2x^2 \mathrm{~d}y = \int_0^4 2(3t-3)^2 (3 \mathrm{~d}t) = 2 \int_0^4 (27t^2 - 54t + 27) \mathrm{~d}t$.
Evaluating the integral, we get $\int_C 2x^2 \mathrm{~d}y = [9t^3 - 27t^2 + 27t]_0^4 = 486$.
Therefore, the line integral $\int_C 2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486.
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3. Consider a polar curve r =-2 sin θ (a) Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesian coordinates. (b) Sketch the graph of the same polar curve but by converting it in to the Carte- sian form. (c) Are the graphs from Part(a) and Part(b) are same or different? Why?
The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.
This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.
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Two samples or paired data? In each of the following settings, decide whether you should use two-sample t procedures to perform inference about a difference in means or paired t procedures to perform inference about a mean difference. Explain your choice.
a. To test the wear characteristics of two tire brands, A and B, each of cars of the same make and model is randomly assigned Brand A tires or Brand B tires.
b. To test the effect of background music on productivity, factory workers are observed. For one month, each subject works without music. For another month, the subject works while listening to music on an MP3 player. The month in which each subject listens to music is determined by a coin toss.
c. How do young adults look back on adolescent romance? Investigators interviewed a random sample of couples in their mid-twenties. The female and male partners were interviewed separately. Each was asked about his or her current relationship and also about a romantic relationship that lasted at least months when they were aged or . One response variable was a measure on a numerical scale of how much the attractiveness of the adolescent partner mattered. You want to find out how much men and women differ on this measure.
Part(a) We should use two-sample t procedures to perform inference about a difference in means.
Part(b) We should use paired t procedures to perform inference about a mean difference.
Part(c) We should use paired t procedures to perform inference about a mean difference.
For part (a), we should use two-sample, For part (b), we should use paired and For part (c), we should use paired t procedures.
For part (a), we should use two-sample t procedures because the samples are independent (each car is randomly assigned either Brand A or Brand B tires). We want to test if there is a significant difference in wear characteristics between the two tire brands, which involves comparing the means of the two groups.
For part (b), we should use paired t procedures because the data is paired (each worker is observed both with and without music). We want to test if there is a significant difference in productivity when workers listen to music, which involves comparing the mean productivity scores of each worker with and without music.
For part (c), we should use paired t procedures because the data is paired (each couple is interviewed separately but asked about the same adolescent relationship). We want to test if there is a significant difference between men and women in how much the attractiveness of their adolescent partner mattered, which involves comparing the mean attractiveness scores reported by men and women for the same relationship.
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my child is an elementary school student I don't see that option under graded subjects is this not for elementary School students??
To know which girl ate the most, we have to compare the two fractions.
To be able to compare the fractions, we can:
1.- We convert to decimal numbers.
2.- We modify the fractions such that both fractions have the same denominator.
To compare the fraction we will change them in a way that both have the same denominator.
Recall that a fraction represents the same number if we multiply it and divide it by the same number.
Notice that:
\(\frac{3}{6}=\frac{3}{6}\times\frac{8}{8}=\frac{24}{48},\)\(\frac{4}{8}=\frac{4}{8}\times\frac{6}{6}=\frac{24}{48}\text{.}\)Since both fractions are the same, we can conclude that both girls ate the same amount.
Answer: 3/6 is equal to 4/8.
Both girls ate the same amount
gonzalo nacio el 18 de sptiembre de 1945 si bertha nacio cuatro decadas y un lustro cual es la fecha de nacimiento de bertha
Answer: Bertha nació el 18 de septiembre de 1990.
Step-by-step explanation:
Gonzalo nació el 18 de septiembre de 1945.
Bertha nació cuatro décadas y un lustro después.
Una década son 10 años
Un lustro son 5 años
Entonces 4 décadas y un lustro son:
4*10 años + 5 años = 45 años
Esto significa que Bertha nació 45 años después que Gonzalo.
Entonces si Gonzalo nació en 1945, Bertha nació en el año:
1945 + 45 = 1990
Bertha nació el 18 de septiembre de 1990.
La fecha de nacimiento de Bertha es el 18 de septiembre de 1990.
How many years does a decade have?A decade is composed of 10 years. So, if there are 'x' decades, then that means there are going to be \(10 \times x\) years in it.
For this case, we are given that:
Date of birth of Gonzelo is 18th of Sept. 1945
Bertha born after 4 decades and 5 years of Gonzelo's birth.
4 decades = 4 times 10 = 40 years
Thus, 4 decades + 5 years = 40 + 5 = 45 years.
45 years after 1945 uis 1945 + 45 = 1990
Thus, date of birth of Bertha is 18th Sept. 1990
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Solve the equation.
n3 = 8
Answer:
2.66666667
Step-by-step explanation:
Answer:
I'm pretty sure it's 2
Step-by-step explanation:
Let f(x)=x²-9, g(x) = 2x. Find (fg)(6).
Answer:
First of all you need to put 6 in each functions
thus we would have:
g(6)= 12
f(6)= 27
and then 12×27 would be the answer
Answer:
135
Step-by-step explanation:
g(6) =2×6 =12
(fg)(6) is f(g(6))= f(12)= 12²-9 =144-9 =135
answer correctly !!! will mark Brianliest pleaseeeeeee
Answer:
20 degrees
Step-by-step explanation:
First, draw the triangle and label the sides and angles. (See the picture attached)
The red lines on sides FG and HF indicate that the sides are congruent since this is an isosceles triangle. Isosceles triangles have two congruent sides and angles.
All angles add up to 180 degrees. You were already given 140 for angle F. So, use to find angle h, subtract 140 from 180 and divide by 2.
180 - 140 = 40
40 / 2 = 20
Angle h is 20 degrees
Answer:
20 degrees
Step-by-step explanation:
The equal sign with a tilde signifies that line segment FG and segment HF are congruent. If two sides of a triangle are congruent, then the triangle is an isosceles triangle. It then provides the top angle at F where the two congruent sides meet, which is 140 degrees. In an isosceles triangle, the angles between one congruent side and a non-congruent side are equivalent angle measures, meaning that to find the measure of angle H, you simply have to subtract 140 from 180 then divide that quantity by 2 for the measure of one of the two congruent angles, in this case equaling 20 degrees.
Find the slope of the line.
Answer:
slope of the line is 2
Step-by-step explanation:
formula:
slope=m=(y2-y1)/(x2-x1)
plug the values in:
m=(9-3)/(2-(-1))
simplify:
m=6/3
divide:
m=2
the mural of your school mascot is feet by feet and is to be completely framed using a single row of square tiles each inches on an edge. if the tiles are each, find the cost, in dollars, of the tiles needed to frame the mural.
The cost of the tiles needed to frame the mural would be $19.20.
Mural dimensions: 4 feet by 12 feet
Tile dimensions: 2 inches on each edge
Cost per tile: $0.10
1. Convert the mural dimensions to inches:
Mural width = 4 feet × 12 inches/foot = 48 inches
Mural height = 12 feet × 12 inches/foot = 144 inches
2. Calculate the perimeter of the mural in inches:
Mural perimeter = 2 × (Mural width + Mural height) = 2 × (48 inches + 144 inches) = 384 inches
3. Determine the number of tiles required:
Number of tiles = Mural perimeter / Tile length = 384 inches / 2 inches = 192 tiles
4. Calculate the cost:
Cost of tiles = Number of tiles × Cost per tile = 192 tiles × $0.10 = $19.20
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The complete question is:
To frame the mural of your school mascot, which measures 4 feet by 12 feet, with a single row of square tiles, each having a 2-inch edge, the cost of the tiles required can be determined. Given that each tile costs $0.10, we need to calculate the total cost in dollars.
solve using substitution x = 6 –4x − y = –16
The value of y by substitution method is equal to -8.
What is the substitution method?The algebraic method for solving simultaneous linear equations is the substitution method. The value of one variable from one equation is substituted in the other equation, as the name implies.
Given that the two equations are, x = 6 and -4x - y = -16. The value of y by substitution method is calculated as,
x = 6
-4x - y = -16
( -4 x 6 ) - y = -16
-24 - y = -16
y = -24 + 16
y = -8
By using the substitution method the value of y is -8.
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Fill out a table of equivalent ratios and plot the points on the coordinate axes provided
Box 1 = 8
Box 2 = 2
If he earned $64 in 8 hours then dividing by 64 by 8 will tell us how much he earned in 1 hour. That gives $8
Using that we can then divide the number of dollars by the amount he receives in 1 hour to see how many hours it was.
So $16 / $8 per hour gives 2 hours
take all coins that are still on tails and keep flipping them until they land on heads. what is the expected number of total flips until all coins are on heads?
The probability that all coins show heads up is 1/16.
How to calculate the probabilityThe probability of one is 1/2: Half of the time (on average, as all numbers in this answer will be) it will show heads.
Of those times it shows heads, only half of the time will the second coin also show heads. We're down to a quarter of the time now.
Of those times the second coin shows heads, only half of the time will the third coin also show heads. This is 1/8.
And, of the times the third coin also shows heads, only half of the time will the fourth coin also show heads. Half of 1/8 is 1/16.
You can simplify this by calculating (1/2)^4.
= 1/16
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Take all coins that are still on tails and keep flipping them until they land on heads. We flip 4 coins simultaneously. What is the probability that all coins show heads up?
The polygons below are similar. Find the value of z.
A. 4.5
B. 7.5
C. 12
D. 16
Answer:
Second option) 7.5
Step-by-step explanation:
We can set up a ratio to solve:
\(\frac{top}{side}>\frac{8}{10} =\frac{6}{z}\)
Cross multiply:
8z = 60
Divide both sides by 8:
7.5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather