The probability of choosing a card from a deck of 52 cards that has digit 1 on it is 1/13 .
A standard deck of 52 playing cards has 4 suits ,
hearts, diamonds, clubs, and spades.
And 13 ranks as 2 through 10, Jack, Queen, King, and Ace in each suit.
To find the probability of choosing a card that has digit 1 on it,
Count the number of cards that satisfy this condition and divide by the total number of cards in the deck.
There are four cards in each suit that have the digit 1 on them.
The Ace of clubs, the Ace of diamonds, the Ace of hearts, and the Ace of spades.
The total number of cards in the deck is 52.
The probability of choosing a card that has digit 1 on it is,
= 4/52
= 1/13
Therefore, the probability of choosing a card that has the digit 1 on it is equal to 1/13.
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Find the equation of a hyperbola with center at (21,- 17) and a conjugate
axis that is parallel to the x-axis, with a length of 14 and focus located at
(21,8).
Show your steps to how you came to the answer.
The equation of the hyperbola will be (x-21) /576 - (y+17) /49 = 1
How to explain the equationThe equation of a hyperbola with center at (k) and a conjugate axis that is parallel to the x-axis, with a length of 2b and fucus located at Otok) is given by:
where a + b'c' and c is the distance from the center to each focus.
In this case, the center is Q1,-17) and the focus is Q,18). The distance between the center and the fucus is c = ✓(21-27 + (-17-18)
In conclusion, the equation of the hyperbola will be (x-21) /576 - (y+17) /49 = 1
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Jacobi Duarte
Family, Non-network
Co-payments:
22 physician visits
12 specialist visits
25 physical therapy appointments at $55 each
1 ER visit
Hospital charge of $15,600
The total medical expenses = (22 * $P) + (12 * $S) + $1,375 + $E + $15,600
How to solveTo solve this problem, we first need to calculate the total amount spent on each type of medical service.
For 22 physician visits at a cost of $P each, the total cost is: 22 * $P
For 12 specialist visits at a cost of $S each, the total cost is: 12 * $S
For 25 physical therapy appointments at $55 each, the total cost is: 25 * $55 = $1,375
For 1 ER visit at a cost of $E, the total cost is: $E
The hospital charge is $15,600.
With this, the total medical bills can be calculated:
Therefore, the total medical expenses = (22 * $P) + (12 * $S) + $1,375 + $E + $15,600
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Jacobi Duarte has a non-network family health insurance plan, which requires co-payments for various medical services. Over a certain period, Jacobi has made the following co-payments:
22 physician visits
12 specialist visits
25 physical therapy appointments at $55 each
1 ER visit
Hospital charge of $15,600
Find the total amount that Jacobi Duarte has spent on medical expenses?
Roller Coasters. The heights in feet of 36 randomly selected top-rated roller coasters are listed. Assume the population standard deviation is 71.6 feet. At a = 0.05, is there enough evidence to reject the claim that the mean height of top- rated roller coasters is 160 feet? (Source: POP World Media, LLC)
325 188 306 107 208 167 105 78 140 232 230 170 170 205 305 135 200 200 100 223 135 195 80 90 120 210 82 161 245 88 70 116 121 146 149 124
1. Express the null and alternative hypothesis in words and as mathematical expressions. Identify which one is the claim?
5. Interpret the decision in the context of the original claim. (Critical thinking)
6. In three to five sentence explain how and why hypothesis testing is used. Give an example (Communication)
The answers are explained below.
Given that,
sample size (n) = 36
population standard deviation (a) = 71.6
population mean (u) = 160
significance level a = 0.05
1) The Null and alternative hypothesis:
H₀: µ = 160 (claim)
Hₐ: µ ≠ 160
Since the population standard deviation (σ), we use the 'z' test.
2) sample mean (x) = ∑x/n
= 5926/36
= 164.61
Test statistic (2) = (x-µ)/(σ/√n)
= (164.61-160) / (71.6/√36)
= 0.3863
≈ 0.39
3) The p-value is the probability of observing a test statistic as extreme as the one computed from the sample, assuming the null hypothesis is true. Using a standard normal distribution table, the p-value is 0.1131.
4) At α = 0.05, the p-value (0.1131) is greater than a. Therefore, we fail to reject the null hypothesis.
5) Based on the statistical analysis, we do not have sufficient evidence to reject the claim that the mean height of top-rated roller coasters is 160 feet.
6) Hypothesis testing is a statistical method used to make decisions based on the analysis of sample data. It is used to determine whether a claim or hypothesis about a population is supported by the evidence provided by the sample data.
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the function y =f is graphed below what is the average rate of change of the function f(x) on the interval 2
The average rate of change of function f(x) on the interval 2 is equal to 1.
To find the average rate of change of function f(x), on the interval 2<x<7, we need to use the given formula:
the average rate of change of function f(x) = change in 'y' / change in 'x'
After selecting any two points that lie on the graph on the interval 2<x<7 we can find the change in y and the change in x.
Here we are using the points (2, f(2)) and (7, f(7)).
We can see that the value of y at x=2 is 1 and at x=7 is 6,
Substituting the values in the formula we get:
The average rate of change of the function f(x) = (6-1)/(7-2).
The average rate of change of the function f(x) = 5/5 = 1.
Hence the average rate of change of function f(x) is equal to 1.
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Pls find the attached image of the graph
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Students are designing banners for the school homecoming dance. If one student designs a banner in the shape of a regular triangle with side length 28 inches, what is the area of the banner? Round to the nearest tenth of a square inch.
The area of the banner is 339.5 square inches.
Given that, the shape of a regular triangle with side length 28 inches.
We know that, area of an equilateral triangle = √3/4 ×a²
= √3/4 ×28²
= 339.48
≈ 339.5 square inches
Therefore, the area of the banner is 339.5 square inches.
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Plsssss answer quick need this NOWWWWWW
Answer: 204
Step-by-step explanation:
Area of Triangle= 1/2 b h b=6 h=18-10=8
=1/2 *6*8 =24
Area of rectangle = Lw L=18 w=10
=18*10
=180
Now add the 2 areas together
=180+24 = 204
The density of Copper is 9. 86 g/cm3 work out the mass of the solid copper cuboid in kg
The mass of the solid copper with a density of 9.86g/cm³ and dimensions of 5cm x 3cm x 10cm is 1.479kg.
To calculate the mass of the solid copper, we need to use the formula
mass = density x volume
First, let's calculate the volume of the solid copper
volume = width x height x depth = 5 cm x 3 cm x 10 cm = 150 cm³
Now, we can plug in the values we have
mass = density x volume = 9.86 g/cm³ x 150 cm³ = 1479 g
To convert grams to kilograms, we divide by 1000
mass in kg = 1479 g / 1000 = 1.479 kg
Therefore, the mass of the solid copper is 1.479 kg.
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The given question is incomplete, the complete question is:
The density of copper is 9.86g/cm[cubed] work out the mass of the solid in kg
width is 5cm
height is 3cm
depth is 10cm
a manufacturer of automobile transmissions uses three different processes. management ordered a study of the production costs to see if there is a difference among the three processes. a summary of the findings is shown next. process 1 process 2 process 3 total process totals ($100s) 137 108 107 352 sample size 10 10 10 30 sum of squares 1,893 1,188 1,175 4,256 in an anova table, what are the total degrees of freedom? multiple choice 30 29 27 28
The total degrees of freedom is option (b) 29
Degrees of freedom refer to the number of values in a calculation that are free to vary. In the context of ANOVA, degrees of freedom represent the number of independent pieces of information that are available for estimating the population variance.
To find the total degrees of freedom in an ANOVA table, you need to add up the degrees of freedom for the different sources of variation. In this case, there are three sources of variation: between groups (processes), within groups (error), and total.
The total degrees of freedom is equal to the total sample size minus one
Total degrees of freedom = n - 1 = 30 - 1 = 29
Therefore, the correct option (b) 29
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A scientist measures the heights of sunflower plants. The histogram shows the results. Which statement is correct?
Answer:
B
Step-by-step explanation:
As you can see based on the height of the bands, which are taller on the right side of the page, the data is shifted to the right. As the right side represents taller height, this could make the median (the middle of the data) higher than the mean (the mathematical average)
y = 3/8x -1
x=8
help me out pls
Myra likes blueberry yogurt, but cherry yogurt is her favorite. Yesterday, she bought 3 cartons of cherry yogurt for every 2 cartons of blueberry yogurt. If Myra bought 3 more cartons of cherry yogurt than blueberry yogurt yesterday, how many cartons of cherry yogurt did she buy?
Answer:
Step-by-step explanation:
6 blueberry 9 cherry
the ration is 2:3 and when you multiply both number by three, the ratio is 6:9. 9 is 3 greater than 6, so Myra bought 6 blueberry cartons and 9 cherry cartons.
Is -13 grater than 12
Answer:
NO
Step-by-step explanation:
-13 is not greater than 12. 12 is larger.
When conducting a hypothesis test such as the t test, having a larger sample size means that the value of the test statistic would _____________ and the effect size would____________
When conducting a hypothesis test such as the t-test, having a larger sample size means that the value of the test statistic would generally increase, and the effect size would remain the same.
Explanation:
1. A larger sample size provides more data points, which can lead to a more precise estimation of the population parameters.
2. As the sample size increases, the standard error (which is part of the denominator in the t-test statistic formula) decreases. This leads to a larger test statistic value, making it easier to reject the null hypothesis if there is a true effect.
3. The effect size is a measure of the strength of the relationship between two variables, independent of the sample size. Therefore, it does not change with an increase in sample size.
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help out w this pls
Answer:
x = -6
y = -1
Step-by-step explanation:
Hope this helps! :)
Que escalas conoces que no sean de Temperatura
Answer:
Weight Scales, Food Scales, Music Scales
Step-by-step explanation:
A rectangular aquarium fish tank is 10.2 meters long, 5.8 meters wide, and 3.5 meters deep. What is the volume of the fish tank if the top 1/3 is just air
The volume of the water in the fish tank is 135.27 cubic meters if the top 1/3 of the tank is just air.
To find the volume of the fish tank containing water, we need to find the volume of the fish tank and then subtract the volume that is occupied by the air i.e 1/3 of the volume of the tank.
So, the volume of the fish tank is :
=length x width x depth of the tank
=10.2 meters x 5.8 meters x 3.5 meters
= 203.94 cubic meters
Now we need to find the volume of the air that is occupied by the fish tank which is :
=1/3x the volume of the fish tank
=1/3x203.94 cubic meters
=68.67 cubic meters
The volume of the fish tank containing just water is:
=volume of the fish tank - the volume of the air occupied
= 203.94 cubic meters - 68.67 cubic meters
=135.27 cubic meters
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WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY!!!
The line shown below are perpendicular. if the green line has a slope of 3/4 what is the slope of the redline
Answer:
-4/3
Step-by-step explanation:
If the green line has a slope of 3/4, then the slope of the red line, which is perpendicular to the green line, is -4/3. The slope of a line perpendicular to another line is the negative reciprocal of the slope of the other line.
Solve (2x-5)^1/3=3
Your anwser should be 16
SHOW WORK
Answer:
16
Step-by-step explanation:
(2x-5)^(1/3) = 3, we can start by cubing both sides of the equation to get rid of the cube root. This gives us (2x-5)^(1/3)^3 = 3^3, which simplifies to 2x-5 = 27. Solving for x, we get x = (27+5)/2 = 16. So, the solution to the equation (2x-5)^(1/3) = 3 is x = 16.
the us defense department needed to know how soldiers were adapting after returning from war. they selected 10% of all iraqi war veterans for a special survey that would closely resemble the composition of all the soldiers (sex, race, age, type of unit, etc.). this type of samples is called
This type of sample is called a Stratified sample if the US defense selected 10% of all Iraqi war veterans for a special survey that would closely resemble the composition of all the soldiers.
Stratified sampling concerns dividing the population size into multiple smaller subgroups or strata types of groups based on certain required characteristics and then selecting the information that is to be extracted from the data.
In the given case, the Selection of Iraqi war people from the survey indicates the composition of the sample size which is determined from a proportion of the population. This is another characteristic of stratified sampling.
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a tank in the shape of a hemisphere has a radius of 5 feet. if the liquid that fills the tank has a density of 62.7 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 16,425 pounds if the tank is in the shape of a hemisphere and has a radius of 5 feet.
Radius of tank = 5 feet
Density = 62.7 pounds per cubic foot
The hemisphere's volume is calculated by using the formula:
[tex]V = (2/3)*(3.14)r^3[/tex]
V = [tex](2/3)* (3.41)*(5 ft)^3[/tex]
V = 261.8 ft cubic centimeter.
The weight of the liquid is calculated by multiplying volume and density:
W = V × D
W = [tex]261.8 ft^3 * 62.7 lb/ft^3[/tex]
W = 16425.2 lbs.
Therefore we can conclude that the total weight of the liquid in the tank is approximately 16,425 pounds.
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devon has 57 solid-colored disks that are either red, blue, or green. he lines them up on the floor and finds that there are 21 more red disks than green and 12 more green disks than blue. how many red disks does he have?
There are 33 red solid coloured disks with devin among 57 solid coloured disks which are either red, blue or green by solving linear equations.
Let the number of red solid coloured disks be x.
Let the number of blue solid coloured disks be y.
Let the number of green solid coloured disks be z.
Devon has a total of 57 solid coloured disks which are either red, blue or green.
That is in the linear equation form as,
x+ y +z = 57 ___(1)
According to the question it is given that,
There are 21 more red disks than green disks. That is it can be represented in a linear equation as,
x = z + 21 ___(2)
There are 12 more green disks than blue disks. That is it can be represented in a linear equation as,
z = y + 12
⇒ y = z -12___(3)
Putting the values from equation (2) and (3) in the linear equation (1) we get,
(z + 21) + (z -12) + z = 57
⇒ 3z = 57 -9 = 48
⇒ z = 48/3
⇒ z = 12
Therefore, Number of red coloured disks , x = 12 +21 = 33
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Maurice is trying to drink 2. 4 L of water a day she drinks 0. 878 L after breakfast 1. 2 L after lunch and 0. 75 L after dinner how much did she drink all together?
From the addition operation, the total quantity of water she drink all together by considering all time quantity is equals to the 2.828 Litres .
Addition is one of the basic method of Arithmetic operations. It is used to taking the total of all things it may be numbers, etc. Now, here Maurice has wish to drink more water. She is trying to drink 2. 4 Litres of water in one day. Quantity of water she drinks after breakfast = 0.878 Litres
Quantity of water she drinks after lunch
= 1.2 Litres
Quantity of water she drinks after dinner = 0.75 Litres
We have to determine the quantity of water she drink all together. For this we can use the Addition Operation. As we have total water Quantity that she drinks in whole day. So, total quantity
= 0.878 Litres + 1.2 Litres + 0.75 Litres
= 0.878 Litres + 1.95 Litres +
= 2.828 Litres
Hence, required value is 2.828 Litres.
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Unit 8: Right Triangles & Trigonometry. Homework 6: Law of Sines. NO LINKS OR FILES I WILL REPORT!!!!
Thanks!
1.) The missing side of the triangle given above would be = 7.4
How to calculate the value of the missing side of the triangle?To calculate the value of the missing side of the triangle, the sine rule is used.
That is;
a/sinA = b/sinB
Where;
a = 5
A = 29°
b = ?
B = 46°
That is;
5/sin29° = b/sin46°
make b the subject of formula;
b = 5×0.719339800/0.484809620
b = 3.596699/0.484809620
b = 7.4
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8. Alex found an antique vase that had a starting value of $30,000. The value of the vase increased by the same amount each year. If the value of the vase after 5 years is $36,000, what was the value of the vase 2 years after she found it? O $31,200 O $32,400 O $33,600 O $34,800
Answer:
$32,400.
Step-by-step explanation:
36000 - 30000 = 6000
So it increases every year by 6000/5 = $1200
After 2 years its value is
30000 + 2(1200)
= 32400.
a clinical trial is conducted to compare an experimental medication designed to lower cholesterol to a placebo. three hundred people were randomized to receive the experimental medication and three hundred people were randomized to receive the placebo. subjects were followed for five years and monitored for developing serious heart problems. does the proportion who developed heart problems differ between the two treatment groups? run the test at a 5% level of significance.
Assuming the sample sizes are large enough, a two-sample z-test can be used with a significance level of 0.05.
To determine whether the proportion of individuals who developed heart problems differs between the experimental medication group and the placebo group, a hypothesis test can be performed.
Let p1 be the proportion of individuals who developed heart problems in the experimental medication group, and p₂ be the proportion in the placebo group. The null hypothesis is that the difference in proportions is equal to zero (i.e., p₁ - p₂ = 0), and the alternative hypothesis is that the difference in proportions is not equal to zero (i.e., p₁ - p₂ ≠ 0).
Using the given information, we can calculate the sample proportions, denoted by p₁ and p₂. Let x₁ be the number of individuals who developed heart problems in the experimental medication group, and x₂ be the number in the placebo group. Then:
p₁ = x₁/n₁
p₂ = x₂/n₂
where n₁ and n₂ are the sample sizes in the experimental medication and placebo groups, respectively.
Assuming the null hypothesis is true, the test statistic can be calculated using:
z = (p₁ - p₂) / √(p(1 - p) * (1 / n₁ + 1 / n₂))
where p is the pooled sample proportion, calculated as:
p = (x₁ + x₂) / (n₁ + n₂)
Using a standard normal distribution, the critical value for a two-tailed test with a significance level of 0.05 is ±1.96.
If the calculated test statistic falls outside the critical region (i.e., less than -1.96 or greater than 1.96), then we reject the null hypothesis and conclude that there is a significant difference between the two proportions. Otherwise, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a difference in proportions.
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The following table represents the highest educational attainment of all adult residents in a certain town. If an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? Round your answer to the nearest thousandth.
The probability that they have a high school degree or some college, but have no college degree is approximately 0.156.
What is probability ?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur.
To find the probability that an adult chosen at random has a high school degree or some college, but no college degree, we need to add up the number of people in the "High school only" and "Some college" categories who do not have a Bachelor's or Master's degree.
From the table, the number of people who have a high school degree or some college but no college degree is:
High school only: 568 + 1034 + 823 + 1938 = 4363 - 719 - 1663 - 1351 - 883 - 1131 - 514 - 783 - 1064 = 1545
Some college: 1518 + 1837 + 1386 + 2377 = 7118 - 719 - 1663 - 1351 - 883 - 1131 - 514 - 783 - 1064 = 1502
So, the total number of adults who have a high school degree or some college, but no college degree is:
1545 + 1502 = 3047
The total number of adults in the town is 19589.
Therefore, the probability that an adult chosen at random has a high school degree or some college, but no college degree is:
3047/19589 = 0.1559 (rounded to the nearest thousandth)
So, the probability is approximately 0.156.
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What is the value of 3(3+3n) when n=4?
Answer: 23
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
3(3+3×4)
3(3+12)
3(15)
3×15
45
A store owner discounted some DVD players from $64 to $32. What percentage is the
discount?
Write your answer using a percent sign (%).
Answer:
Step-by-step explanation:
To find the percentage discount, we need to find the amount of discount first.
Discount = Original Price - Discounted Price
Discount = $64 - $32 = $32
The percentage discount is then:
Percentage Discount = (Discount / Original Price) x 100%
Percentage Discount = (32 / 64) x 100%
Percentage Discount = 0.5 x 100%
Percentage Discount = 50%
Therefore, the discount is 50%.
Answer: it's 50%.
$64 - $32 = $32
(32 / 64) x 100%
0.5 x 100%
50%.
so it's 50%
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The manufacturer of a popular brand of markers is planning to release a new color. To determine which color to add, it mailed out surveys to 5,000 of its customers regarding the general color family they prefer. The returned results are shown in this pie chart.
A Pie Chart with four sections representing the color preferences Blues, Greens, Yellows, and Pinks
Based on the results, one member of the management team says they should choose the new color from the blue family of colors since a majority of people prefer those colors.
Another member doesn’t agree and thinks they should do more research. Which statements would support her request?
The percentage obtained from the pie chart for different colors are Blue =29%, Green = 25%, Yellow = 24%, & Pink = 22%.
As per the results of the survey, Blue color received 29% votes so it must be chosen as the new color for receiving majority votes but as the other three colors also received almost similar percentage of votes. So, the manufacturer must do more research in order to reach on any conclusion.
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