Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
6 less than a number in algebraic expression
Answer:
Step-by-step explanation: Let x represent the number in the algebraic expression, then 6 less means the following:
x-6
A board-game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of the 50 people that meet each week, 67% prefer to play checkers over chess. Construct an 83% confidence interval for the population mean of people that prefer to play checkers over chess.
Using the z-distribution, as we are working with a proportion, it is found that the 83% confidence interval is (0.5789, 0.7611).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, we have an 83% confidence level, hence\(\alpha = 0.93\), z is the value of Z that has a p-value of \(\frac{1+0.83}{2} = 0.915\), so the critical value is z = 1.37.
The other parameters are \(n = 50, \pi = 0.67\).
Then, the bounds of the interval are given as follows:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 - 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.5789\)
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.67 + 1.37\sqrt{\frac{0.67(0.33)}{50}} = 0.7611\)
The 83% confidence interval is (0.5789, 0.7611).
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Answer:
CI = (57.89%, 76.14%)
Step-by-step explanation:
First, solve for the 83% critical z-value (za/2). Second, solve for the margin of error. Third, solve for the confidence interval by subtracting and adding the margin of error with the sample probability of success.
okay I bearly even know what a function is and this is practice I have a test monday!?
Answer:
A.
Step-by-step explanation:
A. because an input cannot have two outputs. However, two different inputs can have the same output.
Help me fix this (image attached)
The value of x from given quadrilateral ABCD is 27°.
In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.
We know that, the sum of interior angles of quadrilateral is 360°.
Here, ∠A+∠B+∠C+∠D=360°
3x+5+2x+15+4x+4x-10=360°
13x+10=360°
13x=350°
x=350/13
x=26.9
x≈27°
Therefore, the value of x from given quadrilateral ABCD is 27°.
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what is the median
Give explanation also
a large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. twenty-five job applicants are randomly selected from one large university and they produce a mean score and standard deviation of 183 and 12, respectively. use a 0.05 level og significance to test the claim that this sample comes from a population with a mean score greater than 160. use the P-value method of testing hypotheses.
Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.
First, we calculate the test statistic, which is the t-value. The formula for the t-value is:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
Plugging in the given values, we have:
t = (183 - 160) / (12 / √(25))
= 23 / (12 / 5)
= 23 * (5 / 12)
≈ 9.58
Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.
Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).
Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
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How do you find the Cholesky decomposition of identity matrix
The Cholesky decomposition of the identity matrix is simply the identity matrix itself
The Cholesky decomposition of the identity matrix is simply the identity matrix itself. To see why this is the case, recall that the Cholesky decomposition of a matrix A is a lower-triangular matrix L such that
A = LL^T.
When A is the identity matrix I, we have I = LL^T.
Since L is lower-triangular, its transpose L^T is upper-triangular. Therefore, the only way for LL^T to be the identity matrix I is for L to also be the identity matrix I.
In summary, the Cholesky decomposition of the identity matrix I is I itself.
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math assignment help
Since the abs. val. graph points down, there has to be a -1 outside the abs val symbol.
Since it's also going through (1,-3) and (-1,-3) instead of (1,-1) and (-1,-1), it's been stretched by a factor of 3.
So y = -3•|x| works.
The individual responsible for developing the group style known as encounter group was_____?
Answer: Fritz Perk
Have a great day.
Please help due in 5 minutes
Answer:
x = 0
y= -3
Step-by-step explanation:
x = y + 3 into the equation y = -4x - 3, so
y = -4(y+3) - 3
y = -4y - 12 - 3
y = -4y - 15
5y = -15
y = -3
Then, you can substitute this into the equation x = y + 3
\(x = -3 + 3\\x = 0\)
Write a possible equation for a sine function that has a minimum point at (-3, 0) and a maximum point at (-9, 6).
The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3
From the case, we have:
Minimum point = (-3,0)
Maximum point = (-9,6)
The sinusoidal fuction would be in the form of:
y = A sin (Bx - C) + D
where:
A = amplitudo
B = 2π / Period
C = Phase shift
D = Midline
First, we need to find the amplitudo:
A = (Y max - Y min) / 2
A = (6 - 0) / 2
A = 3
Periode = (X max - X min) x 2
Periode = (-9 - (-3) x 2
Periode = -6
B = 2π / Periode
B = 2π / 6
B = 1/3 π
D = (Y max + Y min) / 2
D = (6 + 0) / 2
D = 3
We can use one point to find the value of C:
0 = 3 sin (π/3 (-3) - C) + 3
0 = 3 sin (π - C) + 3
-3 = 3 sin (π - C)
sin (π - C) = -1
(π - C) = 270
C = -1/2 π
C = - 90
Then the sinusiodal function would be:
y = 3 sin (πx + 90) + 3
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find the number of 4 letter words which can be formed from word image using permutations without repetition
There are 120 different 4-letter words that can be formed from the word "image" using permutations without repetition.
To find the number of 4-letter words that can be formed from the word "image" using permutations without repetition, we can consider the number of choices for each position in the word.
The word "image" has 5 letters: 'i', 'm', 'a', 'g', and 'e'. We need to choose 4 letters to form a 4-letter word. Since repetitions are not allowed, each letter can only be used once.
For the first position in the word, we have 5 choices (any of the 5 letters in "image" can be used).
For the second position, we have 4 choices left (one letter has already been used).
For the third position, we have 3 choices left.
For the fourth position, we have 2 choices left.
Using the multiplication principle, the total number of 4-letter words that can be formed is given by:
5 choices for the first position × 4 choices for the second position × 3 choices for the third position × 2 choices for the fourth position.
This can be expressed as 5! / (5 - 4)! since we are selecting 4 letters out of 5 without repetition.
Simplifying, we have:
5! / (5 - 4)! = 5! / 1! = 5 × 4 × 3 × 2 = 120.
Therefore, there are 120 different 4-letter words that can be formed from the word "image" using permutations without repetition.
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Need help urgently with this geometry question
=======================================================
Explanation:
The angles (2x+24) and x are same side interior angles. Same side interior angles are supplementary when we have parallel lines.
(2x+24) + (x) = 180
2x+24+x = 180
3x+24 = 180
3x = 180-24
3x = 156
x = 156/3
x = 52
Mr. Howard planted a new garden. The garden is 15 feet long and 4 feet wide. What is the perimeter of mr. Howard's garden?
Answer: 38 feet
Step-by-step explanation:
Based on the dimensions of the garden, we can infer that it a rectangular garden because one side is longer than the other.
The perimeter of a rectangle is calculated as:
= (2 * length) + (2 * width)
= (2 * 15) + (2 * 4)
= 30 + 8
= 38 feet
how much is 5/9 of -3/5?
1/2
1/7
-25/27
-1/3
There are five students standing in a line with their hats. Suddenly the wind picks up the hats and randomly assigns each hat to a student. What is the probability that no student will get his or her own hat
Answer:
The probability of a person getting their own hat is 1/5 or 20%.
Step-by-step explanation:
If each person has one hat the chances (the probability) of them getting their own hat would be 20%. The chances (the probability) of them getting a hat that belongs to one of the other four students would be 80%. Due to there being 5 hats each person owns 1 hat so there would be a 1 out of 5 chance of them getting their own hat.
B^2-6b+9 b=2 evaluate the expression
Answer:
the answer is 5 :)
Step-by-step explanation:
B^2-6b+9 b=2
2^2-6(2)+9
8-6(2)+9
8-12+9
-4 + 9
=5
Solve each word problem. Use the empty space to the right of each problem to show your
work. Write your answer on the blank line under each question.
m
1. Santiago's sister weighed 7 pounds. 14 ounces when she
was born. How many ounces did she weigh?
17
JAMMOT
Answer:
2. Polly bought a watermelon that weighed 295 ounces What
is the weight of the watermelon in pounds and ounces?
Answer:
3. An elephant at the zoo weighs 12.000 pounds. How many
tons does the elephant weigh?
Answer:
1) Her weight was 126 ounces.
2) The weight of the watermelon in pounds and ounces 18 pounds and 7 ounces.
3) The weight of the elephant is 0.006 tons.
1) Given, Santiago's sister weighed 7 pounds. 14 ounces when she born.
We want to find this weight in ounces.
We know, 1 pound = 16 ounces
So, 7 pounds = 16×7=112ounces
So, 7 pounds. 14 ounces=112+14=126 ounces
2) Here given,Polly bought a watermelon that weighed 295 ounces.
We want to find What is the weight of the watermelon in pounds and ounces?
So, 295 ounces =\(\frac{295}{16}\)=18 pounds and 7 ounces
3) Given an elephant at the zoo weighs 12.000 pounds.
We know,
1 pound = 0.0005 ton
So, 12.000 pound =12×0.0005=0.006 tons
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Santiago's sister weighed 126 ounces when she was born, The watermelon weighs 18 pounds 7 ounces, The elephant weighs 6 tons.
What is conversion of pounds to ounce?To convert pounds to ounces, you need to multiply the number of pounds by 16, because there are 16 ounces in one pound. For example, if you have 2 pounds, you would multiply 2 by 16 to get 32 ounces.
Santiago's sister weighed 7 pounds 14 ounces when she was born. To find out how many ounces she weighed in total, we can use the conversion that 1 pound is equal to 16 ounces.
Total weight = 7 pounds x 16 ounces/pound + 14 ounces
Total weight = 112 ounces + 14 ounces
Total weight = 126 ounces
Answer: Santiago's sister weighed 126 ounces when she was born.
Polly bought a watermelon that weighed 295 ounces. To find out the weight of the watermelon in pounds and ounces, we can use the same conversion that 1 pound is equal to 16 ounces.
Weight in pounds = 295 ounces ÷ 16 ounces/pound
Weight in pounds = 18 pounds + 7 ounces
Answer: The watermelon weighs 18 pounds 7 ounces.
An elephant at the zoo weighs 12,000 pounds. To find out how many tons the elephant weighs, we can use the conversion that 1 ton is equal to 2,000 pounds.
Weight in tons = 12,000 pounds ÷ 2,000 pounds/ton
Answer: The elephant weighs 6 tons.
Therefore, Santiago's sister weighed 126 ounces when she was born, The watermelon weighs 18 pounds 7 ounces, The elephant weighs 6 tons.
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suppose that quiz scores in a beginning statistics class have a mean of 7.5 with a standard deviation of 0.4 . using chebyshev's theorem, state the range in which at least 88.9% of the data will reside. please do not round your answers.
At least 88.9% of the quiz scores in a beginning statistics class will reside within the range of 6.3 to 8.7, without rounding.
SOLUTION:
By using Chebyshev's Therem.
Chebyshev's Theorem states that for any dataset, the proportion of data within k standard deviations from the mean is at least (1 - 1/k^2).
Step 1:
Calculate the value of k.
Since we want at least 88.9% of the data within the range,
we can set up the equation as follows:
(1 - 1/k^2) ≥ 0.889
Solving for k:
1 - 0.889 = 1/k^2
0.111 = 1/k^2
k^2 = 1/0.111
k ≈ 3
Step 2:
Calculate the range using the value of k, mean, and standard deviation.
Lower Bound = Mean - k * Standard Deviation
Upper Bound = Mean + k * Standard Deviation
Lower Bound = 7.5 - (3 * 0.4) = 7.5 - 1.2 = 6.3
Upper Bound = 7.5 + (3 * 0.4) = 7.5 + 1.2 = 8.7
Using Chebyshev's Theorem, at least 88.9% of the quiz scores in a beginning statistics class will reside within the range of 6.3 to 8.7, without rounding.
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About how many times heavier is the blue whale than the rhinoceros
Answer:
1 x 10^2
Step-by-step explanation:
(2 x 10^5) / (2 x 10^3) = 1 x 10^2
In two or more complete sentences, describe how to use technology to construct an appropriate regression model for the given data. you are not required to find the model, just choose the appropriate regression and explain how to use the technology. (-2,11), (1,1.7), (2,-0.2), (3,-1.5), (5,-2.3), (6,-1.8), (8,1)
The regression equation of the data values is y = 0.3x^2 - 2.8x +4.2
How to determine the regression equation?Using a technology such as a graphing calculator, we simply input the data values in the graphing calculator and then wait for the result.
The x coordinates must be entered into the x values and the y coordinates must be entered into the y values
Using a graphing technology, the regression equation of the data values is y = 0.3x^2 - 2.8x +4.2
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Josh curlee bench presses 200 pounds increases that amount by 10% a month for two months about how much can you bench press after 2 months
Answer
At the current rate, 2420 pounds will be the weight bench pressed after 2 months.
Explanation
A given quantity that increases by a constant rate monthly can have its current value calculated according to the formula,
A = A₀ (1 + r)ᵗ
A = Value after a given time t (in months)
A₀ = Initial value = 200 pounds
r = rate of increase = 10% monthly = 0.10
t = time = 2 months
A = A₀ (1 + r)ᵗ
A = 2000 (1 + 0.1)²
A = 2000 (1.1)²
A = 2000 (1.21)
A = 2,420 pounds
Hope this Helps!!!
Factorise 2(5x+10y)(2y-x)^2-4(6y+3x)(x-2y)
You select a marble without looking and then put it back. If you do this 12 times, what is the best prediction possible for the number of times you will pick a pink marble? there are 3 pink marbles
Answer:
6 times
Step-by-step explanation:
If there are total of 6 marbles and 3 are pink, then you will have a one half (or 50%) chance of picking a pink marble. Because you put the marble back each time, your chance of picking a pink marble remains the same every time.
So one half of 12 is 6. You are predicted to pick a pink marble 6/12 times.
Find the area of the region enclosed by the curves. 10 X= = 2y² +12y + 19 X = - 4y - 10 2 y=-3 5 y=-2 Set up Will you use integration with respect to x or y?
The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².
To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:
Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.
So, the integral for the area of the region is given by:
A = ∫a b [x₂(y) - x₁(y)] dy
Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10
So,
A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy
=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy
=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2
=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]
=> A = 174/3
Hence, the area of the region enclosed by the curves is 174/3 units².
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9x - 4 = 5x - 4 + 4x
Answer:
x = 1
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Solve 0.6 bar +0.47 bar
Bar is only on 6 &7
Answer:
1.07
Step-by-step explanation:
0.6 + 0.47= 1.07
Please help me with this
Because the transformations don't change the size, we can see that B'C' = 24 units.
What is the length of B'C'?Here we know that we have a triangle ABC, and we apply some transformations to it.
First, the original side BC has a length of 24 units, then we apply a reflection and a translation to get the triangle A'B'C'.
Notice that we didn't use a dilation/contraction, then the dimensions do not change.
This means taht the length of BC and B'C' must the same ones, then we can conclude that B'C' = 24 units.
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using 2 jugs of size 100 and 98 gallons, can we measure 3 gallons of water? why? can we measure 4 gallons of water?
No, we cannot measure 3 gallons of water using 2 jugs of size 100 and 98 gallons. But, we can measure 4 gallons of water using these jugs.
Let's call the two jugs A and B, with A being the 100-gallon jug and B being the 98-gallon jug.
To measure 3 gallons of water, we need to have one jug that is smaller than 3 gallons and another jug that is larger than 3 gallons.
However, both of these jugs are larger than 3 gallons.
This means that it is impossible to measure 3 gallons of water using these jugs.
To measure 4 gallons of water, we can follow these steps:
Fill jug A to the top with water.
Pour the water from jug A into jug B until jug B is full.
This will leave 2 gallons of water in jug A.
Pour the water from jug B down the drain, then pour the 2 gallons from jug A into jug B.
Fill jug A to the top with water.
Pour the water from jug A into jug B until jug B is full.
This will leave 96 gallons of water in jug B, with 4 gallons of water in jug A.
Thus, we can measure 4 gallons of water using these jugs.
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Giving brainlyest .... .....
Answer:
4.475 is the answer.
Step-by-step explanation:
also hide your tabs just in case ;)
Answer:
4.475 believe me i did k12 before plz give me brainlyiest explanation: