Answer:
25.54
Step-by-step explanation:
SOH CAH TOA
v
Cos 0 = [tex]\frac{adj}{hyp}[/tex]
-------------------------------------------
11.
Cos 20° = [tex]\frac{adj}{hyp}[/tex]
Cos 20° = [tex]\frac{24}{x}[/tex]
*Rearrange*
[tex]x[/tex] = [tex]\frac{24}{Cos 20}[/tex]
*Cos 20° = 0.9397*
[tex]x[/tex] = [tex]\frac{24}{0.9397}[/tex]
[tex]x[/tex] = 25.5400659785
Nearest tenth: 25.54
Consider the relations shown in the table.
Which relations represent functions?
Answer: D
Step-by-step explanation: Got it right on test
the test statistic calculated in the process of a kruskall-wallis test is h.
T/F
The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.
True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.
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priya is comparing two functions: f(x)= 25x^(2) and g(x) =3*3^(x) to find out which has greater output values as x gets very large
it has a input table using inputs from 0 to 5 and then on top it says f(x) and g(x) and you have to find the outputs with that
Answer:
Step-by-step explanation:
Sure, here is the input table for f(x) and g(x) using inputs from 0 to 5:
| Input (x) | f(x) = 25x^(2) | g(x) = 3*3^(x) |
|-----------|----------------|----------------|
| 0 | 0 | 3 |
| 1 | 25 | 9 |
| 2 | 100 | 27 |
| 3 | 225 | 81 |
| 4 | 400 | 243 |
| 5 | 625 | 729 |
As x gets very large, g(x) will have greater output values than f(x). This is because the function g(x) has an exponential growth while f(x) only has quadratic growth. As x gets larger, the base of the exponent in g(x) becomes more significant and results in a much larger output value compared to f(x).
a manufacturer of shoes wanted to reduce the number of flaws per pair of shoes. data gathered from quality control measures indicated that brand a typically had 2.5 flaws per pair of shoes. a mechanical engineer for the company developed a modification of the current process that she thought might reduce the number of flaws. to determine if this was true, one of the machines in the plant was modified according to her specifications. a sample of 30 pairs of shoes was analyzed for flaws. the sample yielded a mean of 2.2 flaws per pair of shoes. assume the standard deviation of the measurements is 0.66. find the p-value of the test.
The p-value of the test is approximately 0.299.
To find the p-value of the test, we need to conduct a hypothesis test. Let's set up the hypotheses first:
Null Hypothesis (H0): The modification of the process did not reduce the number of flaws per pair of shoes.
Alternate Hypothesis (Ha): The modification of the process did reduce the number of flaws per pair of shoes.
We can use a one-sample t-test to analyze the data. The test statistic can be calculated using the formula:
t = ( - μ) / (s / √n),
where is the sample mean, μ is the population mean (2.5 flaws), s is the sample standard deviation (0.66), and n is the sample size (30).
Substituting the values into the formula, we get:
t = (2.2 - 2.5) / (0.66 / √30) ≈ -1.054
To find the p-value associated with this test statistic, we need to consult the t-distribution table or use statistical software. The p-value represents the probability of observing a test statistic as extreme as the one calculated under the null hypothesis.
Assuming a two-tailed test, the p-value is the probability of observing a t-value more extreme than -1.054 or more extreme than 1.054. Looking up the p-value in the t-distribution table or using software, we find that the p-value is approximately 0.299.
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use suitable property
(-128 x 46 )+ (128 x -36)
please answer the question I will mark them brainliest
The distributive property allows the formula (-128 x 46) + (128 x -36) to be simplified to -10496.
We may use the distributive property of multiplication over addition/subtraction, which asserts that an x (b + c) = an x b + an x c, to simplify the above calculation (-128 x 46) + (128 x -36).
Let's dissect the expression in detail:
(-128 x 46) + (128 x -36)Let's first assess the goods:
-128 x 46 = -5888
128 x -36 = -4608
Reintroduce these values into the phrase now:
(-5888) + (-4608)
We simply add the absolute values of the two negative numbers while maintaining the sign of the negative:
-5888 + (-4608) = -10496
Consequently, -10496 is the reduced expression.
Last but not least, the phrase (-128 x 46) + (128 x -36) becomes -10496. .By applying the distributive property and carrying out the required multiplication, addition, and subtraction, the result is -10496.
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What is the value of 4 + f + 7) when f = 5?
A. -8
B. 2
C. 6
D. 16
Answer:Therefore, the answer is D. 16.
Step-by-step explanation:
The expression 4 + (f + 7) simplifies to 11 + f. When f = 5, the value of the expression is:
11 + 5 = 16
Therefore, the answer is D. 16.
Convert r10000 sent to thai baht. Use the exchange rate R0,448 =1 thai baht
To convert r10,000 to Thai Baht using the exchange rate R0.448 = 1 Thai Baht, we can set up a proportion to find the equivalent amount in Thai Baht.
R0.448 (Thai Baht) R10,000 (Rand)
------------------ = --------------
1 x
Cross-multiplying, we have:
R0.448 * x = R10,000
Dividing both sides by R0.448:
x = R10,000 / R0.448
Calculating the division, we find:
x ≈ 22,321.43
Therefore, r10,000 is approximately equivalent to 22,321.43 Thai Baht, using the given exchange rate.
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a random sample of size 28 is collected from a normal population with unknown variance. the sample has the mean of 108.127 and the standard deviation of 30.4888. construct a 98% confidence interval for a population mean. group of answer choices (105.546, 110.707) (94.725, 121.529) (93.878, 122.376) (105.235, 111.018)
The correct confidence interval for a population mean at a 98% confidence level is approximately (94.685, 121.569). Therefore, the correct choice is (94.725, 121.529).
To construct a confidence interval for a population mean, we can use the formula:
Confidence Interval = sample mean ± (critical value * standard error)
First, we need to determine the critical value for a 98% confidence level. Since the sample size is large (n = 28), we can use the z-table to find the critical value. For a 98% confidence level, the critical value is approximately 2.33.
Next, we calculate the standard error using the formula:
Standard Error = sample standard deviation / √(sample size)
In this case, the sample standard deviation is 30.4888 and the sample size is 28. Therefore:
Standard Error = 30.4888 / √(28) ≈ 5.769
Now we can construct the confidence interval:
Confidence Interval = 108.127 ± (2.33 * 5.769) = (108.127 ± 13.442) = (94.685, 121.569)
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Blake recorded the high temperatures each day for a month in two different cities.
For City A, the mean high temperature was 59°F with a mean absolute deviation of 3.2.
For City B, the mean high temperature was 71°F with a mean absolute deviation of 2.9.
Compare the difference of the means in terms of the mean absolute deviations
Answer:
City B is significantly higher than in City A.
Step-by-step explanation:
To compare the difference of the means in terms of the mean absolute deviations, we can use the concept of standard deviation units. We divide the difference of the means by the average of the mean absolute deviations of the two cities:
D = (71 - 59) / ((3.2 + 2.9) / 2)
D = 12 / 3.05
D ≈ 3.934
The value of D tells us that the difference of the means between the two cities is almost 4 standard deviation units, which is a large difference. This means that the mean high temperature in City B is significantly higher than in City A.
PLEASE HELP I AM GROUNDED AND NEED THIS ANSWER
Answer: 39
Step-by-step explanation: 180-141= 39
A number tripled is equal to 57. Let n be the number. Which equation can be used to find the value of n and what is its solution? K OA) n + 3 = 57; n = 54 OB) n-3 = 57; n = 60 OC) 3 = 57; n = 171 OD) 3n = 57; n = 19
Answer:
[tex]3n = 57[/tex]
[tex]n = 19[/tex]
D is the correct answer.
What is the answer to this?
The value of x in the parallel lines is 15.
Option C is the correct answer.
We have,
The concept being used here is the concept of alternate exterior angles and the parallel lines property.
Alternate exterior angles are pairs of angles that lie on opposite sides of a transversal and are located outside the two parallel lines.
According to the property of alternate exterior angles, when two parallel lines are intersected by a transversal, the alternate exterior angles are congruent or equal in measure.
Since lines s and t are parallel lines,
8x + 7 and 127 are alternate exterior angles.
So,
8x + 7 = 127
Now,
Solve for x.
8x + 7 = 127
8x = 127 - 7
8x = 120
x = 120/8
x = 15
Thus,
The value of x in the parallel lines is 15.
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haylee Rolls two number cubes. what is the probability she rules two numbers whose sum is greater than 9?
Answer:
1/6 or 16.67%-------------------
There are 6 sides on each cube, so there are a total of 6 x 6 = 36 possible outcomes.
The combinations that result in a sum greater than 9 are:
(4,6), (5,5), (5,6), (6,4), (6,5), and (6,6)There are 6 favorable outcomes.
Therefore, the probability of two numbers whose sum is greater than 9 is:
6/36 = 1/6 or ≈ 16.67%.11. You and your friend ordered a pizza with 1 inch wide cheesy crust.
The total diameter of the pizza (including the cheesy crust) is 16 inches.
a) If you are given 1/6 of the pizza, what is the area of your slice? Lave exact answer.
b) What is the length of the outside cheesy crust that belongs to your friend? Leave exact answer
Answer:
Therefore:
a) The area of your slice is 32/3π square inches (exact answer).
b) The length of the outside cheesy crust that belongs to your friend is 16/3π inches (exact answer).
Step-by-step explanation:
a) To find the area of 1/6 of the pizza, we need to determine the area of the entire pizza and then divide it by 6.
The diameter of the pizza (including the cheesy crust) is 16 inches, which means the radius is half of the diameter, so the radius is 16/2 = 8 inches.
The formula for the area of a circle is A = πr², where A is the area and r is the radius.
Therefore, the area of the entire pizza is A = π(8 inches)² = 64π square inches.
To find the area of 1/6 of the pizza, we divide the area of the entire pizza by 6:
Area of 1/6 of the pizza = (64π square inches) / 6
b) The cheesy crust is located on the outer edge of the pizza, forming the circumference of the circle. The circumference is calculated using the formula C = 2πr, where C is the circumference and r is the radius.
The length of the outside cheesy crust that belongs to your friend is 1/6 of the circumference. So, we divide the circumference by 6:
Length of the outside cheesy crust for your friend = (2π(8 inches)) / 6
To get the exact answers, we leave the values in terms of π:
a) Area of 1/6 of the pizza = (64π square inches) / 6 = 32/3π square inches (exact answer)
b) Length of the outside cheesy crust for your friend = (2π(8 inches)) / 6 = 16/3π inches (exact answer)
Therefore:
a) The area of your slice is 32/3π square inches (exact answer).
b) The length of the outside cheesy crust that belongs to your friend is 16/3π inches (exact answer).
Here are the ingredients needed to makes 12 shortcakes:
50g of sugar
200g of butter
200g of flour
10ml of milk.
Robert has
500g of sugar
1000g of butter
1000g of flour
500ml of milk
Work out the greatest number of shortcakes Robert can make.
Answer:
He can make a maximum of 60 shortcakes
Step-by-step explanation:
With the sugar alone he has enough to make:
500/50=10×12=120 shortcakes
Taking the butter into account he can make a maximum of:
1000/200=5×12=60 shortcakes
Now taking the flour into account he can still make a maximum of 60 shortcakes before running out of supply.
However, with the milk alone, he can make up to
500/10=50×12=600 shortcakes
All we need to do is find the minimum number of shortcakes he can make before running out of supply.
In this case he would make 60 shortcakes
Hope this helps!
Forty volunteer drivers are separated into two groups of 20 drivers each at random. The first group is asked to pay particular attention to braking smoothly when approaching a red light or stop sign. The second group is given no special instructions. All drivers report, at the end of a month, the gallons of gasoline used. The mean for the first group is 43.16 gallons of gas. The mean for the second group is 54.63 gallons of gas. The difference in means for the two groups is -11.47 gallons of gas. The data for both groups are combined and redistributed at random into two groups of 20. The means for each redistributed group are calculated, and the difference in means is recorded. The differences are represented in the histogram.
Which of these conclusions and justifications is the most reasonable?
The most reasonable conclusion is that the instruction to brake smoothly resulted in a decrease in gas consumption, as evidenced by the lower mean and negative difference in means between the two groups.
Based on the information provided, the most reasonable conclusion would be that the instruction given to the first group of drivers to brake smoothly when approaching a red light or stop sign resulted in a decrease in the mean gallons of gas used compared to the second group.
The justification for this conclusion is supported by the fact that the mean for the first group is 43.16 gallons of gas, which is lower than the mean for the second group, which is 54.63 gallons of gas. This indicates that the first group, who received the specific instruction to brake smoothly, consumed less gas on average.
The histogram displaying the differences in means after the data for both groups were combined and redistributed also supports the conclusion. It likely shows a distribution that is centered around a negative value, indicating that the majority of the redistributed groups had a lower mean gas consumption compared to the initial second group.
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what is the surface area
The total surface area of the pyramid is: 208.88 m²
What is the surface area of the pyramid?The surface area of the pyramid is simply the sum of the areas of all the given surfaces.
Formula for the area of a triangle is:
Area = ¹/₂bh
where:
b is base
h is height
Area of four side triangles = 4(¹/₂ * 8 * 12) = 192 m²
Using Pythagoras theorem, the height of the base triangle is:
x = 4.22
Area of base = ¹/₂ * 8 * 4.22 = 16.88 m²
Total surface area = 192 + 16.88
= 208.88 m²
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Aiden is going to make concrete.
Answer:
8 bags of cement
9 bags of sand
3 bags of stone
Step-by-step explanation:
Hope this helps :)
Need Help ASAP! :(((
Answer:
look up a slope calculator insert x2 and y-3 for example and it will do it for u
Step-by-step explanation:
Mrs. Broderick's dog, Nessie Noodles, likes to chew up bags and boxes. If there are 2 white plastic bags, 3 brown paper bags, 4 brown boxes and 2 white boxes, what is the probability that Nessie chews up something that is white or a box?
The probability that Nessie chews up something that is white or a box is 8/11.
Let's find the probability that Nessie chews up something that is white or a box.
1. Determine the total number of items:
2 white plastic bags + 3 brown paper bags + 4 brown boxes + 2 white boxes = 11 items
2. Identify the items that are white or a box:
White items: 2 white plastic bags + 2 white boxes = 4 white items
Boxes: 4 brown boxes + 2 white boxes = 6 boxes
However, since white boxes are included in both white items and boxes, we need to subtract the number of white boxes once to avoid double-counting them.
3. Calculate the probability:
(White items + Boxes - White boxes) / Total items = (4 + 6 - 2) / 11 = 8 / 11
The probability that Nessie chews up something that is white or a box is 8/11.
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URGENT!! Please help for brainliest :)
Select the correct word or phrase that completes this sentence.
Least squares regression is a method that minimizes the sum of the
between the points on a
scatterplot and the regression line.
A. squared distances
B. median points
C. distances
D. average distances
Answer:
The correct answer is:
A. squared distances
if the standard error is smaller than the standard deviation when conducting a regression, what can you conclude?
If the standard error is smaller than the standard deviation when conducting a regression, it can be concluded that the model is more precise and reliable in predicting the outcome variable.
When conducting a regression, the standard error is a measure of the precision of the estimated regression coefficient. On the other hand, the standard deviation is a measure of the variability of the data points from the mean. If the standard error is smaller than the standard deviation, it means that the estimated regression coefficient is more precise than the variation of the data points. This indicates that the model is more reliable and accurate in predicting the outcome variable.
In practical terms, a smaller standard error means that the predicted values of the outcome variable will be closer to the actual values, resulting in more accurate predictions. However, it is important to note that a smaller standard error does not necessarily mean that the regression model is better. Other factors such as the goodness of fit, significance of the coefficients, and the overall explanatory power of the model should also be considered when evaluating the performance of a regression model.
In conclusion, if the standard error is smaller than the standard deviation when conducting a regression, it can be concluded that the model is more precise and reliable in predicting the outcome variable. However, other factors should also be taken into account to evaluate the overall performance of the model.
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a test requires that you answer first part a and then either part b or part c, but not both part b and part c. part a consists of 5 true-false questions, part b consists of 4 multiple choice questions with one correct answer out of 5 possible answers, and part c requires you to match 6 questions with 6 different answers. how many different completed (no blanks allowed) answer sheets are possible?
There are 250,000 different completed answer sheets possible using counting principle.
For part a, there are 2 choices for each of the 5 questions, so there are a total of 2^5 = 32 ways to complete part a.
For part b, there are 5 choices for each of the 4 questions, so there are a total of 5^4 = 625 ways to complete part b.
For part c, there are 6 choices for the first question, 5 choices for the second question (since one of the answers has already been used), 4 choices for the third question, and so on. So there are a total of 6 x 5 x 4 x 3 x 2 x 1 = 720 ways to complete part c.
To find the total number of possible completed answer sheets, we need to multiply the number of choices for each part. However, since part b and part c are mutually exclusive (you can only choose one of them), we need to add their totals together. Therefore, the total number of possible completed answer sheets is:
32 x (625 + 720) = 70,240
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pls help <3 Explain how to locate the foci of an ellipse from the graph.
Answer:
First take the difference between the squares of the semi-major axis and the semi-minor axis: (13 cm)² - (5 cm)² = 144 cm².
Then, take the square root of their difference to obtain the distance of the foci from the ellipse's center along the major diameter to be √144 = 12 cm.
Step-by-step explanation:
Your welcome
HELP
PLEASE I BEGGGG
The time taken for the stone to hit the surface of the water is T = 2 seconds
Given data ,
Let the function be represented as h ( t )
where h = -16t² - 64t + 192
On simplifying , we get
The time taken for the stone to hit the water surface is when h = 0
So , when h = 0
16t² + 64t - 192 = 0
On solving the quadratic equation , we get
t = (-64 ± √(64² - 4 * 16 * -192)) / (2 * 16)
Simplifying further:
t = (-64 ± √(4096 + 12288)) / 32
t = (-64 ± √(16384)) / 32
t = (-64 ± 128) / 32
Now, we have two possible solutions:
t = (-64 + 128) / 32 = 64 / 32 = 2
t = (-64 - 128) / 32 = -192 / 32 = -6
Hence , the time taken is t = 2 seconds
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given f(x)=3x+2 and g(x)= √x-1, determine the following: (f•g)(5) =
The value of (f•g)(5) is 21.
Given are two functions f(x) = 3x+2 and g(x)= √x-1, we need to determine (f•g)(5),
So, firstly determine (f•g)(x),
Therefore,
(f•g)(x) = (3x+2)(√x-1)
Now for, (f•g)(5) put x = 5,
We get,
(f•g)(5) = (3·5+2)(√5-1)
(f•g)(5) = 17 × 1.23
(f•g)(5) = 21
Hence the value of (f•g)(5) is 21.
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Solve for y: 3(4y - 1) = 2( 5y + 1).
The solution is y =
The solution is?
Answer:
y= 5/2
y=2.5
y=2 1/2
Step-by-step explanation:
I hope this helps
A utility worker must reach the top of a telephone pole to fix an electric wire. if the pole casts a 39 foot 6 inch shadow at the same time the 6 foot 2inch man casts a 9 foot 4 inch shadow, how tall is the telephone pole? round to the nearest whole foot.
The height of the telephone pole is approximately 26 feet.
How to solve for the heightAccording to the given information, the height of the man is 6 feet 2 inches, which we can represent as 6.17 feet, and his shadow is 9 feet 4 inches, which is 9.33 feet.
Using the concept of similar triangles, we can set up the following proportion:
(man's height) / (man's shadow) = (pole's height) / (pole's shadow)
Simplifying the proportion:
6.17 / 9.33 = h / 39.5
To solve for 'h', we can cross-multiply:
6.17 * 39.5 = 9.33 * h
243.215 = 9.33 * h
Dividing both sides by 9.33:
h ≈ 26.06
Rounding to the nearest whole foot, the height of the telephone pole is approximately 26 feet.
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The histogram below summarizes the lengths, in feet, of a group of adult female sharks. Select all the statements that are true, according to the histogram.
The statements that are true, according to the histogram include
B. A total of 50 sharks were measured.D. Most of the sharks that were measured were over 16 feet long.E. Two of the sharks that were measured were less than 14 feet longWhat is a histogram?A histogram is a graphical depiction of data points arranged into ranges that the user specifies.
The histogram, which resembles a bar graph in appearance, condenses a data series into an easily read visual by grouping many data points into logical ranges or bins.
Looking at the diagram, a total of 50 sharks were measured and most of the sharks that were measured were over 16 feet long.
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Someone please help...
If the chicken crosses the road at 7.35 miles every 30 minutes exactly how fast would it take to find out the answer of why he crossed in the first place. Please answer mathematically (And leave the reason why...! )
We can deduce here that the chicken is traveling at a speed of 0.245 miles per minute.
What is speed?Speed is the amount of ground a thing covers in a predetermined period of time. It has magnitude but no direction because it is a scalar quantity. Meters per second (m/s), kilometers per hour (km/h), or miles per hour are used to express speed (mph).
In order to find the speed of the chicken, here is the formula to make use of:
Speed = distance / time
Speed = 7.35 miles / 30 minutes = 0.245 miles per minute.
The chicken might have crossed the first place because it is being chased.
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