Answer:
The answer is option (D) 8.17 × 10^8...
Hope u like it
Answer:
d... 8.17 * 10^8
Step-by-step explanation:
(*゜ー゜*)do you know what it means?
Find the area to the right of the z-score 1.39 and to the left of the z-score 1.53 under the standard normal curve. z1.21.31.41.51.61.70.000.88490.90320.91920.93320.94520.95540.010.88690.90490.92070.93450.94630.95640.020.88880.90660.92220.93570.94740.95730.030.89070.90820.92360.93700.94840.95820.040.89250.90990.92510.93820.94950.95910.050.89440.91150.92650.93940.95050.95990.060.89620.91310.92790.94060.95150.96080.070.89800.91470.92920.94180.95250.96160.080.89970.91620.93060.94290.95350.96250.090.90150.91770.93190.94410.95450.9633
To find the area to the right of the z-score 1.39 and to the left of the z-score 1.53 under the standard normal curve, we need to use the standard normal distribution table or a calculator.
Start by finding the area to the left of the z-score 1.39. From the table, we find that the area to the left of 1.39 is approximately 0.9172.
Next, find the area to the left of the z-score 1.53. From the table, we find that the area to the left of 1.53 is approximately 0.9357.
Now, to find the area between the z-scores 1.39 and 1.53, we subtract the area to the left of 1.39 from the area to the left of 1.53. This gives us: 0.9357 - 0.9172 = 0.0185.
Therefore, the area to the right of the z-score 1.39 and to the left of the z-score 1.53 under the standard normal curve is approximately 0.0185.
The area to the right of the z-score 1.39 and to the left of the z-score 1.53 is approximately 0.0185.
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The area to the right of the z-score 1.39 and to the left of the z-score 1.53 is 0.0185.To find the area to the right of the z-score 1.39 and to the left of the z-score 1.53 under the standard normal curve, we can use the z-table.
Step 1: Look up the z-score 1.39 in the z-table. The area to the left of 1.39 is 0.9177.
Step 2: Look up the z-score 1.53 in the z-table. The area to the left of 1.53 is 0.9362.
Step 3: To find the area between the two z-scores, subtract the smaller area (0.9177) from the larger area (0.9362).
0.9362 - 0.9177 = 0.0185
Therefore, the area to the right of the z-score 1.39 and to the left of the z-score 1.53 under the standard normal curve is 0.0185.
In conclusion, the area to the right of the z-score 1.39 and to the left of the z-score 1.53 is 0.0185.
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HELP HELP HELP HELP HELP HELP
Answer:
x = 24°
Step-by-step explanation:
What do the sum of all angles in a triangle add up to?
The sum of all angles in a triangle add up to 180°.First, let's find the missing angle of the big triangle (the angle next to 111°).
94 + 41 = 135180 - 135 = 45°Now, we can find the value of x given the smaller triangle's angle.
x + 111 + 45 = 180x + 156 = 180x = 24Therefore, x = 24°.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
24 degrees
Step-by-step explanation:
Right corner angle
= 180 - 94 - 41
= 180 - 135
= 45 degrees
angle x
= 180 - 111 - 45
= 180 - 156
= 24 degrees
I purchase a new die, and I suspect that the die is not weighted correctly. I suspect that it is rolling "fives" more often than 1/6 of the time in the long run. I decide to test the die. I roll the die 60 times, and it rolls a "five" a total of 16 times (16/60 = 0.267 = 26.7%).
Identify the parameter of interest in this situation.
Whether or not this die rolls fives more often than it should.
The 60 rolls of the die.
The die rolls a five 26.7% of the time in the long run.
The proportion (percentage) of times that this die rolls a five in the long run.
The parameter of interest in this situation is whether or not the die rolls fives more often than it should.
In this situation, the parameter of interest is the probability or proportion of times that the die rolls a five in the long run. The experimenter suspects that the die is not weighted correctly and wants to determine if it rolls fives more frequently than the expected probability of 1/6 (approximately 0.167) for a fair six-sided die.
To test the die, the experimenter rolls it 60 times and records the number of times it lands on a five, which turns out to be 16. To calculate the proportion, the number of times the die rolled a five (16) is divided by the total number of rolls (60), resulting in a proportion of approximately 0.267, or 26.7%.
This observed proportion of 26.7% raises suspicion that the die might be biased towards rolling fives. However, it is important to note that this is a sample proportion based on a relatively small number of rolls. To draw more robust conclusions about the fairness of the die, a larger sample size would be needed. Statistical tests, such as hypothesis testing, can also be employed to determine the likelihood of the observed proportion occurring by chance alone and to make more definitive statements about the fairness of the die.
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The parameter of interest is the proportion of times the die rolls a five. By comparing the observed proportion to the expected proportion, we can determine if the die is weighted correctly.
Explanation:The parameter of interest in this situation is the proportion (percentage) of times that the die rolls a five in the long run.
To determine if the die is rolling fives more often than it should, we compare the observed proportion of fives rolled (16/60) to the expected proportion of 1/6. If the observed proportion is significantly different from the expected proportion, then it suggests that the die is not weighted correctly.
In this case, the observed proportion of 26.7% is higher than the expected proportion of 16.7%, indicating that the die may indeed be rolling fives more often than it should.
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Complete the square for the expression. Also, identify the resulting expression as a binomial squared.
x2 + 11x + ____
When completing the square is carried out on the quadratic \(x^2+11x\) we get
\(x^2+11x+\dfrac{121}{4}\)
when expressed as a binomial squared, we get
\(\left(x+\dfrac{11}{2}\right)^2\)
To complete the square, we need to add a term to the expression
\(x^2+11x\)
that would make it a perfect square. Generally, given the quadratic expression
\(x^2+bx\)
to make it a perfect square, we have to add half the square of the coefficient of \(x\). That is, add \(\left(\frac{b}{2}\right)^2\), or \(\frac{b^2}{4}\) to the quadratic expression to get
\(x^2+bx+\dfrac{b^2}{4}\)
which, when factored into a binomial squared becomes
\(\left(x+\dfrac{b}{2}\right)^2\)
In our case, the quadratic \(x^2+11x\) will become
\(x^2+11x+\dfrac{121}{4}\)
and when expressed as a binomial squared, we get
\(\left(x+\dfrac{11}{2}\right)^2\)
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Answer:
\(x^{2}\) +11x+ \(\frac{121}{4}\)= \((x+\frac{11}{2} )^{2}\)
Step-by-step explanation:
.
What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.
The length of the hypothenuse or the value of x is equal to 19.53
This is a right angle triangle and since we have a missing side, we should list our data first and find an option to solve this.
Data;
hypothenuse = xadjacent = 11.2opposite = 16Pythagoras's TheoremTo solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.
The formula for this is
x^2 = y^2 + z^2
Let's substitute the values and solve for the missing side.
\(x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53\)
The length of the hypothenuse or the value of x is equal to 19.53.
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Which graph represents the function p(x) = |x - 1|?
Step-by-step explanation:
Fourth graph represent the function p(x) = |x – 1|
Answer:
B
Step-by-step explanation:
Just did the unit test
Can some help pleasee it is due tonight and it’s the only question I need,I also need to do ate by step if it’s not much to ask
Answer: -3/16
Step-by-step explanation:
When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...
-12(x^-2) (y^-2) can be rewritten as
-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4
-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16
-12 (1/4) (1/16)
-3 (1/16)
= -3/16
if your height is 5 feet 3 inches and your weight is 120 pounds, what is your bmi? round the answer to the nearest whole number.
If your height is 5 feet 3 inches and your weight is 120 pounds, then the BMI is 21.23
To calculate your Body Mass Index (BMI), use the following formula:
BMI = weight in kilograms / (height in meters)²
First, convert your height to meters :
5 feet 3 inches = 63 inches
63 inches = 160.02 cm
160.02 cm = 1.6002 meters
Next, convert your weight to kilograms :
120 pounds = 54.43 kg
Now, plug in these values to calculate your BMI:
BMI = 54.43 kg / (1.6002 meters)²
Divide the terms
BMI = 21.23
Therefore, your BMI is approximately 21.23
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I really need help I’ve been on it foreverr help please
Answer:
1 7/8
Step-by-step explanation:
let me know if you need more help :)
Answer:
the answer is 15/5
Step-by-step explanation:
....... ..... ...
5. Do you find similarities between the rules of adding & subtracting dissimilar fractions and
adding & subtracting dissimilar rational algebraic expressions?
Answer:
First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example
Step-by-step explanation:
What is the area of a circle whose radius is 4 ft?
Question 2 options:
16πft2
64πft2
8πft2
4πft2
Answer:
16pi ft^2
(the first answer)
Step-by-step explanation:
A bread recipe calls for 2 cups of wheat flour and 3 1/4 cups of white flour. How much flour does the recipe call for altogether?
Answer:
Step-by-step explanation:
2+3.25=5.25 or 5 1/4 cups of flour total
On a map, 1/4 inch between locations represents an actual distance of 2 miles between the locations. What is the actual distance, in miles, between two cities that are 3/34 inches apart on the map
Answer:
12/17 miles
Step-by-step explanation:
Make the denominators equal -> 1/4 = 17/68, 3/34 = 6/68
17/68 inches represent 2 miles
The ratio between 17/68 and 6/68 is 17/68 : 6/68 = 17/6
So, the ratio between the distance should also be 17/6
-> 3/34 inches represent 2 : 17/6 = 12/17 (miles)
Hope it helps :)
Help please, solve for x y and z
Answer:
y = 30° { adjacent angles }
z = 90 - 30° = 60° { right angle triangle - 90° }
x = 180° - 60° - 60° = 60° { isosceles, triangle has two sides 60° }
an n × n matrix that is orthogonally diagonalizable must be symmetric. true or false?
False. An n × n matrix that is orthogonally diagonalizable does not necessarily have to be symmetric. A matrix is said to be orthogonally diagonalizable if it can be expressed as PDP^T, where P is an orthogonal matrix and D is a diagonal matrix.
For a matrix to be symmetric, it must satisfy the condition A = A^T, where A^T denotes the transpose of A. While it is true that symmetric matrices are always orthogonally diagonalizable, the converse is not necessarily true. There exist non-symmetric matrices that can still be orthogonally diagonalized. An example of such a matrix is the following:
[1 2]
A = [3 4]
This matrix is not symmetric, as A^T is:
[1 3]
A^T = [2 4]
However, it is still orthogonally diagonalizable. The matrix A can be diagonalized as:
A = PDP^T, where P = [0.8507 -0.5257]
[0.5257 0.8507]
and D = [-0.3723 0 ]
[ 0 5.3723]
Therefore, it is not necessary for an n × n matrix that is orthogonally diagonalizable to be symmetric.
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A poll asked whether states should be allowed to conduct random drug tests on elected officials of 11.220 respondents,89% said yes a. Determine the margin of error for a 99% confidence interval. b. Without doing any calculations, indicate whether the margin of error is larger or smaller for a 90% confidence interval Explain your answer.
The margin of error for a 99% confidence interval in a poll on whether states should be allowed to conduct random drug tests on elected officials, based on 11,220 respondents, would be approximately 1.5%.
The margin of error is determined by the sample size and the desired level of confidence. In this case, the sample size is 11,220 respondents. To calculate the margin of error, we need to consider the formula:
Margin of Error = (Z-score) * (Standard Deviation / Square Root of Sample Size)
For a 99% confidence interval, the Z-score is approximately 2.576, corresponding to the two-tailed test. Since the poll results indicate that 89% of respondents said "yes," the standard deviation can be estimated using the formula:
Standard Deviation = Square Root of (p * (1 - p) / n)
where p is the proportion of respondents who said "yes" (0.89) and n is the sample size (11,220).
With these values, the margin of error for a 99% confidence interval would be approximately 1.5%.
In general, as the desired level of confidence decreases (e.g., from 99% to 90%), the margin of error becomes smaller. This is because a lower level of confidence allows for a greater chance of error or uncertainty. When constructing a confidence interval, a smaller margin of error means that the range of plausible values for the population parameter (in this case, the proportion of people who support random drug tests) is narrower. However, it's important to note that a smaller margin of error also implies a larger sample size requirement to achieve the same level of precision.
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onsider the indefinite integral then the most appropriate substitution to simplify this integral is
Finally, we can integrate each term of this expression to obtain the solution to the original indefinite integral. The final solution is (1/2)x - (1/2)ln(x² + 1) + C, where C is the constant of integration.
To solve the indefinite integral of the given function, we need to make use of substitution. One of the most appropriate substitutions for this integral is u = x² + 1. By making this substitution, we can simplify the integral to the point where we can apply the power rule of integration. The derivative of u with respect to x is du/dx = 2x. Therefore, we can express dx in terms of du by multiplying both sides of this equation by dx/2. This gives us dx = du/2x. Substituting this into the original integral, we get ∫(x²)/(x²+1) dx = ∫(u-1)/(2u) du. We can simplify this expression to get ∫(1/2) - (1/2u) du. Overall, this substitution allows us to simplify the integral and arrive at a more manageable form. This demonstrates the power and utility of using substitution when dealing with complex integrals.
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PLEASE HELP IM BEING TIMED!
Name the relationship between a and b
Options: Corresponding
Liner pair
vertical
complementary
Answer:
Linear pair
Step-by-step explanation:
A linear pair is when two angles are connected by a straight angle (a line)
Find the value of AB.
Answer:
6
Step-by-step explanation:
We can look that AB=BC=CD=18/3=6
So, AB = 6
Answer:
Step-by-step explanation:
6....
Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
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On a number line, where would 5. 2 be located?
A. To the left of 5. 1
OB. To the right of 5. 3
OC. Between 1. 5 and 5. 1
O D. Between 5. 1 and 5. 3
5. 2
Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.
On a number line, each number is represented by a point. The location of a number on a number line depends on whether it is greater than or less than other numbers.
In the case of 5.2, it is located between 5.1 and 5.3, as option D states. This is because 5.2 is greater than 5.1 but less than 5.3. Therefore, its location on the number line would be between the points representing 5.1 and 5.3.
A number line is a useful visual tool for understanding the relative position of numbers to each other, as well as for performing basic arithmetic operations. Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.
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It takes a train going 50 mph approximately _____ to stop safely.
A. 100 ft B. 1/2 miles C. 1 1/2 miles D. 5 miles
It takes a train going 50 mph approximately 11/2 miles to stop safely.
The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.
In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.
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assuming the conditions for inference have been met, does the coffee shop owner have sufficient evidence to conclude that the distribution of sales is proportional to the number of facings at a 5 percent level of significance? conduct the appropriate statistical test to support your conclusion.
The coffee shop owner does not have sufficient evidence to conclude that the distribution of sales is proportional to the number of facings at a 5% level of significance.
What is proportion ?
A proportion refers to the number or fraction of individuals or items that exhibit a particular characteristic or have a certain attribute, relative to the total number or sample size being considered. It is often expressed as a ratio or percentage.
To test whether the distribution of sales is proportional to the number of facings, we can use the chi-squared goodness of fit test. The null hypothesis for this test is that the observed data follows a specific distribution (in this case, a proportional distribution), while the alternative hypothesis is that the observed data does not follow that distribution.
To conduct the test, we first need to calculate the expected frequency for each category assuming a proportional distribution. We can do this by multiplying the total number of sales (610) by the proportion of facings for each brand:
Starbucks: 610 x 0.3 = 183
Dunkin: 610 x 0.4 = 244
Peet's: 610 x 0.2 = 122
Other: 610 x 0.1 = 61
Next, we calculate the chi-squared statistic using the formula:
χ² = Σ((O - E)² / E)
where O is the observed frequency and E is the expected frequency. The degrees of freedom for this test are (k-1), where k is the number of categories. In this case, k = 4, so the degrees of freedom are 3.
Using the observed and expected frequencies from the table, we get:
χ² = ((130-183)²/183) + ((240-244)²/244) + ((85-122)²/122) + ((155-61)²/61) = 124.36
Looking up the critical value of chi-squared for 3 degrees of freedom and a significance level of 0.05, we get a value of 7.815. Since our calculated χ² value of 124.36 is greater than the critical value of 7.815, we reject the null hypothesis and conclude that the observed distribution of sales is not proportional to the number of facings.
Therefore, the coffee shop owner does not have sufficient evidence to conclude that the distribution of sales is proportional to the number of facings at a 5% level of significance.
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how would you solve this equation?
Answer:
19,188
Step-by-step explanation:
hope this helps ;)
Explain why √x + 1 + 5 = 3 has no solutions.
Answer:
Step-by-step explanation:
Because even if you keep trying to find the solution it won't give you the solution so that'll mean there is NO solution
I hope this helped, plz rate 5 stars, give thanks, and Mark as brainilest (Probably) That'll be much appreciated
Because, When x=9, the original equation
\( \sqrt{x} + 1 + 5 = 3\)
does not hold true.
We will drop x=9 from the solution set.
thats why this this equation has no solution.
True or False: The domin of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of fand the domain of g. Justify your answer.
The domain of the quotient function (f/g)(x) consists of all numbers that belong to both the domain of f and the domain of g which is false.
What is a function?A statement, opinion, or rule that forms a linking of two variables is characterized as a function. Mathematics has functions, which are necessary for the design of meaningful relationships.
What is a domain?The range refers to all potential values of y, and the domain refers to all conceivable values of x.
The denominator of the rational function shouldn't be 0. The function is not defined if the denominator is 0.
Thus, the given statement is false.
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Matthew is training to participate in a half marathon. Each week, Matthew increases the number of miles he runs in the previous week by the same percent. The table below shows the number of miles he runs in weeks 1 and 2.
Week Number of Miles Run
1 12.5
2 15.5
Complete the sentence. Do not round your answer.
Matthew runs ____ miles in week 3.
Answer:14.58 miles.
Step-by-step explanation:
Matthew is training to participate in a half marathon.
The distance covered by Matthew on the first day is 12.5 miles.
The distance covered by Matthew on the second day is 13.5 miles.
The distance increased on the second day is, 13.5-12.5=1 mile.
The percentage will be,
=\dfrac{1}{12.5}\times 100\%
=0.08\times 100\%
=8\%
Hence, each day he runs 8% more. So the distance covered by him on day 3 will be,
=13.5+\left(13.5\times \dfrac{8}{100}\right)
=13.5+1.08
=14.58 miles
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Step-by-step explanation:
Answer:
Basic consensus is that that other answer is wrong. The actual answer is 19.22
Step-by-step explanation:
To find the common ratio you just do this, last number = 15.5, and first number = 12.5.
15.5/12.5 equals 1.24.
^That's the common ratio.^
using A(n) = a * r ^ n - 1,
you get 12.5 * 1.24 ^ 3 - 1, or just 12.5 * 1.24 ^ 2
and solving that problem, you get 19.22.
Confirm this by doing the same thing earlier, 19.22/15.5 is 1.24. Which is the ratio found earlier. So it checks out.
If triangle he an area of 36 and a height of 12 calculate the length of the base.
Answer:
Below.
Step-by-step explanation:
A = 1/2bh for a triangle.
36 = 1/2b(12)
36 = 6b
---- ----
6 6
b = 6
A rectangular garden is 5 ft longer than it is wide. Its area is 300 ft2. What are its dimensions?
Answer:
width=x
length=5x
area= 300ft2
area=lxb
300=5x(x)
300=5x^2
x^2=60
x=7.74
7.74(5)=38.7
dimensions are 38.7ft by 7.74 ft
Please mark as brainliest
Step-by-step explanation:
the area of a rectangle is
length × width = 300 ft²
length = width + 5
(width + 5) × width = 300
width² + 5×width = 300
width² + 5×width - 300 = 0
the general solution to such a quadratic equation is
width = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 5
c = -300
width = (-5 ± sqrt(5² - 4×1×-300))/(2×1) =
= (-5 ± sqrt(25 + 1200))/2 =
= (-5 ± sqrt(1225))/2 = (-5 ± 35)/2
width1 = (-5 + 35)/2 = 30/2 = 15 ft
width2 = (-5 - 35)/2 = -40/2 = -20 ft
negative lengths for an actual object don't make sense, so width = 15 ft is our solution.
length = width + 5 = 15 + 5 = 20 ft
Help! How Can I Use factoring to write an expression equivalent to -> 25m^2−81n^2
Answer:
(5m-9n) (5m+9n)
Step-by-step explanation:
25m^2−81n^2
Rewriting each term
(5m)^2 - (9n)^2
This is the difference of squares
a^2 - b^2 = ( (a-b) (a+b)
(5m-9n) (5m+9n)
Answer:
(5m + 9n)(5m - 9n)
Step-by-step explanation:
we know a² - b² = (a + b)(a - b)
=> Similarly, 25m² - 81n²
=> (5m + 9n)(5m - 9n)