Answers
The angle of x in the given circle is 51 degrees.
What is theorem of secant and tangent line in circle?In the case when a tangent line and a secant line originate from the same external point, the mean of the exterior angle is equal to half the difference between the major arc and the minor arc that are created by the tangent and secant lines.
From the given figure we observe that the secant line and tangent line start from the same exterior angle.
Thus, according to the theorem of secant and tangent line of circle we have:
angle x = (DA - DB) /2
angle x = (178 - 76) / 2
angle x = 102 /2
angle x = 51 degrees.
Hence, the angle of x in the given circle is 51 degrees.
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Related Questions
Brita has a monthly budget of x dollars. Every month, $1,425 is spent on her mortgage. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?
y=x−1,4253
y=1,425−x3
y=1,425+x3
y=x+1,4253
Answers
Answer:
y=1,425-×3
Step-by-step explanation:
the x has to be divided by the 1/3
what’s the answer ??
Answers
Answer:
Left box: 1/2n
Right box = 2n - 22
Step-by-step explanation:
Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.
Thus, you want to put 1/2n in box on the left.
Twice the number and 22 less than this is given by: y: 2n - 22 less than this means we subtract. Thus, we have 2n - 22 as the numerator on the right hand side of the equation.
Thus, you want to put 2n - 22 in the box on the right.
Please prove7. A bowl contains 9 marbles, each of which is red, blue or green. Show that at least 3 of these marbles are red, 3 are blue or 5 are green.
Answers
The probability that they are all of different colors when a bag contains 9 marbles is 9/28.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
Total number of marbles=9
Number of red marbles=3
Number of blue marbles=3
Number of yellow marbles=3
Three marbles are selected from the bag at random probability that they are all different color:
\(\frac{^3C_1*^3C_1*^3C_1}{^9C_3} = \frac{9}{28}\).
Therefore, the probability that they are all of different colors is 9/28.
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Complete question:
A bag contains 9 marbles, 3 of which are red, 3 of which are blue, and 3 of which are yellow. If three marbles are selected from the bag at random, what is probability that they are all of different colors?
The conclusion is that in a bowl containing 9 marbles, at least 3 of them are red, at least 3 are blue, or at least 5 are said to be green.
What ae the marbles?The use of Pigeonhole Principle to prove the statement will be done in this question.
The Pigeonhole Principle is one that states that if there are more pigeons than pigeonholes, then at least one pigeonhole needs to have more than one pigeon.
So lets assume for contradiction that there are not at least 3 red marbles, 3 blue marbles, or 5 green marbles.
Case 1: There are fewer than 3 red marbles.
If less than 3 red marbles, then max 2 red marbles. 9 - 2 = 7 marbles left. 7 marbles: blue/green. With more than 3 marbles and assumed 2 red marbles, it violate the Pigeonhole Principle.
Case 2: There are fewer than 3 blue marbles.
If 3 blue marbles, then max 2 blue marbles. 9-2=7 marbles left, red or green. "More marbles than pigeonholes - against the Pigeonhole Principle."
Case 3: There are fewer than 5 green marbles.
5 green marbles, 4 green marbles. We have more marbles than pigeonholes, so against the Pigeonhole Principle.
So, there is contradiction in all 3 cases, our initial assumption that there are not at least 3 red marbles, 3 blue marbles, or 5 green marbles have to be false.
So, we can say that in a bowl containing 9 marbles, at least 3 of them are red, at least 3 are blue, or at least 5 are green.
Another is:
Total number of marbles=9
Number of red marbles=3
Number of blue marbles=3
Number of yellow marbles=3
So, the probability that they are all of different colors is 9/28.
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PLEASE ANSWER, WILL GIVE BRAINLIEST!
Find the value of b if the graph of the equation y= -3x+b goes through the given point.
B(5,2)
Answers
====================================================
Explanation:
The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.
We'll plug these x and y values into the equation and solve for b.
y = -3x+b
2 = -3(5)+b
2 = -15+b
2+15 = b
17 = b
b = 17
The equation y = -3x+b turns into y = -3x+17
The cost of shirts is $12.90 each if 1,000 shirts are purchased. Harry sells 800 shirts before the football season begins at a 50% markup based on cost. What is the gross margin (markup) if Harry sells the remaining
200 shirts at a 30% reduction from the selling price?
Answers
Harry will have a gross margin of $5,290.
If the cost of each shirt is $12.90 and 1,000 shirts are purchased, then the total cost of 1,000 shirts is:
$12.90 x 1,000 = $12,900
If Harry sells 800 shirts at a 50% markup, then he sells them for:
$12.90 x 1.5 = $19.35
Harry sells the 200 remaining shirts at a 30% reduction from the selling price:
$19.35 x 0.7 = $13.55
The gross margin (markup) is the difference between the selling price and the cost per shirt. For the 800 shirts sold at a markup, the gross margin per shirt is:
$19.35 - $12.90 = $6.45
So the gross margin for the 800 shirts is:
$6.45 x 800 = $5,160
For the 200 shirts sold at a discount, the gross margin per shirt is:
$13.55 - $12.90 = $0.65
So the gross margin for the 200 shirts is:
$0.65 x 200 = $130
Therefore, the total gross margin for all 1,000 shirts is:
$5,160 + $130 = $5,290
Harry will have a gross margin of $5,290.
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IMPORTANT, COULD LEAVE TO DEATH IF NOT ANSWERED plz help I've reposted 5 times My family is at Native Wings and the bill came to $42.95. I paid 7.3% tax and I left an 18% tip after tax. round up if needed How much was the tax? How much was the tip? What was the total bill? Blank 1: Blank 2: Blank 3: (I copy and pasted it) tysm if you actually answer it
Answers
Answer:I think its 5.25 if im wrong sorry
Given: XYZW is a rectangle.ХYWZWhich of the following is NOT necessarily true?XY WZXZ YWXY TYZXZ I WY
Answers
1. A rectangle has parallel sides that are congruent with each other.
2. The adjacent sides are always 90 degrees or perpendicular with each other.
3. The diagonals are also congruent with each other.
From the given choices.
XY is congruent to WZ, it satisfies the note #1 above, therefore this is true
XZ is congruent to YW, it satisfies the note #3 above, therefore this is true
XY is perpendicular to YZ, it satisfies the note #2 above, therefore this is true
XZ is perpendicular to WY, the diagonals are always equal but not necessarily formed a 90 degrees angle, therefore this is NOT necessarily true.
The answer is Choice D.
Pls help question about total pay
Show working out
Answers
\(7\frac{1}{2}\implies 7.5\hspace{5em}1\frac{1}{4}\implies 1.25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{Monday through Friday} }{\stackrel{ days }{(5)}\stackrel{ rate }{(10.80)}\stackrel{ hours }{(7.5)}}~~ + ~~\stackrel{ Saturday }{\stackrel{ days }{(1)}\stackrel{ rate }{(10.80)(1.25)}\stackrel{ hours }{(7.5)}} \\\\\\ 405~~ + ~~101.25\implies \text{\LARGE 506.25}\)
select the two figures that are similar to the 5 by 5 figure that is shown
Answers
you didn't show the figure..
Answer: i don't see
Step-by-step explanation:
a figure
Solve the proportion
With a Step by step explanation
Answers
X should be equal to 0.71777...
Find the area of the figure.
square with sides of 4.9 ft
The area of the square is ft2.
Answers
Answer:
24.01 is the answer.....
Hope it helps!!!
find the surface area of the prism. 3in , 8in ,5in.
Answers
Answer:
158 in.
Step-by-step explanation:
Surface area of a prism = Area of all the faces added together
So, Face 1 & 2 = 5 x 80 = 40 x 2 = 80
Face 3 & 4 = 8 x 3 = 24 x 2 = 48
Face 5 & 6 = 5 x 3 = 15 x 2 = 30
Therefore, adding them together makes:
80 + 48 + 30 = 158 in.
Ming wrote the table of points below.
x
y
5
10
10
20
15
30
Which explains whether or not Ming has described a proportional relationship, and why?
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
Ming has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
Ming has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
Ming has described a proportional relationship because the line does not pass through the origin.
Answers
Answer:
I am 99.99% sure it is the first one
In Exercise 5.18, Y1 and Y2 denoted the lengths of life, in hundreds of hours, for components of types I and II, respectively, in an electronic system. The joint density of Y1 and Y2 isReferenceAn electronic system has one each of two different types of components in joint operation. Let Y1 and Y2 denote the random lengths of life of the components of type I and type II, respectively. The joint density function is given by(Measurements are in hundreds of hours.) Find P(Y1 > 1, Y2 > 1).
Answers
In an electrical system, components of categories I and II have a life expectancy measured in hundreds of hours, respectively. The probability of finding the combined density of Y1 and Y2 is equal to e^(−2).
The components of type I and type II, respectively, have random life spans denoted by the letters Y1 and Y2, respectively. Given by is the joint density function (Measurements are in hundreds of hours.)
Probability P(Y1 > 1, Y2 > 1) = ∫2¹∫1¹ (1/2)e^(−x−y) dx dy = e^(−2).
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Determine the number of significant figures in each measurement. Then, choose the representation of the number where x is in place of the estimated digit from the measurement.a) 14.8mb) $10.25c) 0.05 Ld) 1.000 g/mLe) 6200cmf) 403 kg
Answers
Significant figures with representation of x are a) 14.8 m = 14.x m. b) $10.25 = 10.2x. c) 0.05 L = 0.0x L. d) 1.000 g/mL = 1.00x g/mL. e) 6200cm = 6200x cm. f) 403 kg = 40x kg.
a) 14.8m has 3 significant figures. Representation with x in place of estimated digit: 14.x m. b) $10.25 has 4 significant figures. Representation with x in place of estimated digit: 10.2x. c) 0.05 L has 1 significant figure. Representation with x in place of estimated digit: 0.0x L. d) 1.000 g/mL has 4 significant figures. Representation with x in place of estimated digit: 1.00x g/mL. e) 6200cm has 2 significant figures. Representation with x in place of estimated digit: 6200x cm. f) 403 kg has 3 significant figures. Representation with x in place of estimated digit: 40x kg. Significant figures are the digits in a measurement that are reliable and accurate. They provide an indication of the precision of a measurement, and allow us to communicate the level of certainty we have in a particular value. When determining the number of significant figures in a measurement, we typically follow a set of rules. Non-zero digits are always significant, zeros between non-zero digits are significant, and trailing zeros to the right of the decimal point are significant. Zeros at the beginning of a number or to the left of a non-zero digit are not significant. The use of significant figures is important in science and engineering to ensure accurate and reliable measurements. When performing calculations with measurements, the result should be reported with the same number of significant figures as the least precise measurement used in the calculation. In addition, when rounding a number, the last digit should be rounded to the nearest value consistent with the number of significant figures being used. Understanding significant figures is an important part of scientific and mathematical communication, and can help to ensure accuracy and consistency in the reporting of data and calculations.
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What is the value of x?
sin 49° = COS X
Enter your answer in the box.
X =
Answers
Answer:
x = 41°
Step-by-step explanation:
Using the cofunction identity
sinx = cos(90 - x) , then
sin49° = cos(90 - 49)° = cos49°
with x = 41°
Question 12 6 pts There is a 60% chance of rain on any day along the road to Hana in Maui. A Statistics student gathered data on 1,000 randomly selected days along the road to Hana and found it rained 624 of those days. a. The sampling distribution of sample proportions would have what kind of distribution? (Enter the capital letter of the correct answer: U= uniform, N = normal, R = skewed right, and L= skewed left) b. The mean of the sampling distribution of sample proportions is c. The standard deviation of the sampling distribution of sample proportions is . (3 decimal places)
Answers
The sampling distribution of sample proportions would have a normal distribution.The mean of the sampling distribution of sample proportions is 0.60.The standard deviation of the sampling distribution of sample proportions is 0.015.
A sample proportion can be defined as the sum of all observed values divided by the total number of observations. This is used to calculate the probability of a given event or phenomenon occurring. In this case, the sample proportion is 0.624 (i.e., the number of days it rained divided by the total number of days).According to the central limit theorem, the distribution of sample means will be normally distributed as long as the sample size is sufficiently large.
Since n=1000 (which is large enough), the sampling distribution of sample proportions would have a normal distribution.The mean of the sampling distribution of sample proportions is equivalent to the true population proportion, which is given as 0.6. Therefore, the mean of the sampling distribution of sample proportions is 0.60.The standard deviation of the sampling distribution of sample proportions is calculated using the formula:
Standard deviation of the sample distribution = sqrt(pq/n), where p is the population proportion, q is 1-p, and n is the sample size. Substituting the values from the problem gives:Standard deviation of the sample distribution = sqrt((0.6)(0.4)/1000) = 0.015Therefore, the standard deviation of the sampling distribution of sample proportions is 0.015.
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A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
Answers
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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An angle of size 124 degrees has been rotated d degrees around a center 0 what is the size of the rotated angle?
Answers
Answer:
124
Step-by-step explanation: Hope it helps
The base of a solid is the region in the first quadrant bounded by the y-axis, the graph of y = ????????????-1x, the horizontal line y = 3 and the vertical line x = 1. For this solid, each cross section perpendicular to the x-axis is a square. What is the volume of the solid?
Answers
The volume of the solid is 9 cubic units, which is determined by the base in the first quadrant bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. As the cross sections perpendicular to the x-axis are squares, the volume can be calculated.
The volume of the solid can be calculated by finding the area of the base and then multiplying it by the height of the solid. The base of the solid is in the first quadrant and is bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. This region forms a trapezoid, with an area of 6. As the cross sections perpendicular to the x-axis are squares, the height of the solid is 3 units. Thus, the volume of the solid is 6 multiplied by 3, which gives us a total volume of 9 cubic units. To calculate the volume, it is important to identify the base of the solid and the shape of the cross sections perpendicular to the x-axis. This will allow us to calculate the area of the base, and multiply it by the height of the solid to determine the total volume.
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At which job does percy earn the greater hourly wage? how much does percy earn each hour at this job? percy earns a greater hourly wage of $7.00 at the library. percy earns a greater hourly wage of $7.00 at the coffee cart. percy earns a greater hourly wage of $7.50 at the library. percy earns a greater hourly wage of $7.50 at the coffee cart.
Answers
Percy earns a greater hourly wage of $7.50 at the coffee cart.
Percy earns a greater hourly wage of $7.50 at the coffee cart compared to the wage at the library, which is $7.00. This difference in wages is the reason why Percy earns more per hour at the coffee cart.
When it is stated that the wage at the coffee cart is higher, it means that employees working at the coffee cart are paid a higher rate per hour compared to those working at the library. In this case, the coffee cart pays $7.50 per hour, while the library pays $7.00 per hour.
As a result, when Percy works at the coffee cart, they are compensated at a higher rate for each hour worked, which results in a higher wage. By earning $0.50 more per hour, Percy's total earnings for the same amount of time worked would be greater at the coffee cart than at the library.
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Annas car uses five liters of fuel per 100km. her father's car uses seven liters of fuel per 100 km. petrol costs $2 a liter. anna spends less her father on a 500km trip. how much less does she spend?
Answers
Anna spends $20 less than her father on the 500 km trip.
Given: Anna's car uses 5 Liters per 100 km
Her father's car uses 7 Liters per 100 km
Cost of petrol is $2 per Liter
Anna spends less than her father on a 500 km trip. To find by how less Anna had spent than her father.
Let's solve the question:
According to the question Anna's car uses:
5 Liters per 100 km or
100 km is travelled with 5 Liters of petrol.
Then 1 km is travelled by 5 / 100 Liters of petrol.
1 km is travelled by 1 / 20 Liters of petrol by Anna.
According to the question Anna's father car uses:
7 Liters per 100 km or
100 km is travelled by 7 Liters of petrol.
Then 1 km is travelled by 7 / 100 Liters of petrol.
1 km is travelled by 7 / 100 Liters of petrol by Anna's father.
Now 500 km is travelled by:
Anna's car: 1 km is travelled by 1 / 20 Liters of petrol. Then 500 km is travelled by500 × 1 / 20 Liters of petrol = 25 Liters of petrol.
Therefore 500 km is travelled by 25 Liters of petrol.
Anna's father car: 1 km is travelled by 7 / 100 Liters of petrol. Then 500 km is travelled by500 × 7 / 100 Liters of petrol = 35 Liters of petrol
Therefore, 500 km is travelled by 35 Liters of petrol.
Cost of petrol is $2 per Liter.
Anna: She consumes 25 Liters of petrol for the 500 km journey.
Her cost is 25 × 2 = 50
Anna's cost = $50
Anna's father: He consumes 35 Liters of petrol for the 500 km journey
His cost is 35 × 2 = 70
Anna's father cost = $70
Therefore, the difference in cost = (Anna's father cost - Anna's cost) = ($70 - $50) = $20.
Hence Anna spends $20 less than her father on the 500 km trip.
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Anna spends $20 less than her father on the 500 km trip.
fuel used by Anna = 5 Liters per 100 km
Fuel used by father = 7 Liters per 100 km
Cost of petrol = $ 2 per Liter
we need to find by how less Anna had spent than her father.
By using the unitary method, we get that:
Anna:
500 × 1 / 20 Liters of petrol = 25 Liters of petrol.
500 km is travelled by 25 Liters of petrol.
Father:
500 × 7 / 100 Liters of petrol = 35 Liters of petrol
500 km is travelled by 35 Liters of petrol.
Anna:
Cost = 25 × 2 = $ 50
Anna's father:
Cost = 35 × 2 = $ 70
Difference in cost = $ 70 - $ 50 = $ 20.
Therefore, Anna spends $20 less than her father on the 500 km trip.
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How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years
Answers
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)
3 years ago, Nancy’s age was more than Khaled’s age by 2, 4 years from now, twice Nancy’s age will be more than Khaled’s age by 16. Find their ages.
Answers
Answer:
Nancy will be 32 and Khaled will be 16
Step-by-step explanation:
3 years ago Nancy was more than 2 so lets start with 2. To get back to present each year x2 meaning 3 x 2=6 and add the 2 so thats 8. Now the 4 more years is 4x2 which is 8. 8+8=16 and then twice Nancy's age is 16x2: Nancy is 32 and Khaled is 16
Mikayla was making origami frogs if she made 8 frogs a day how many will it take her to make 200?
Answers
Answer:
25 days
Step-by-step explanation:
You divide the 200 she wants to make by the 8 she averages daily to get how many days it would take. Hope this helps!
Helpppppp pls
Find h.
h = [?] in
![Helpppppp plsFind h.h = [?] in](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/NAnP48YIgDdaIjBqXKzAFWxZvKneAvBn.png)
Answers
Answer:
h=rt.96=4 rt.6
Step-by-step explanation:
r=2 inches
therefore 100= root over h + 4
=>h=rt.96=4 rt.6
3253548cmid=308488 D Plant Stores Tracker... Which of the following forces is not driving renewable energy technologies? Select one: A. Concern for the environment B. Energy independence C. Inflation proof fuel costs D. Aggressive pursuit of higher quarterly corporate eamings E. Abundant resource Incorrect
Answers
The force that is not driving renewable energy technologies is D. Aggressive pursuit of higher quarterly corporate earnings.
Renewable energy is known for its great potential in providing environmental and social benefits. Below are explanations of the other forces driving renewable energy technologies:
A. Concern for the environment: The environment is a driving force behind renewable energy. The depletion of fossil fuels has contributed significantly to climate change. Renewable energy technologies can be a sustainable solution that can have a positive impact on the environment.
B. Energy independence: Renewable energy is a critical force in energy independence. By using renewable energy, countries can become more energy-independent and less dependent on imported fossil fuels.
C. Inflation proof fuel costs: Renewable energy is a force behind inflation proof fuel costs. Renewable energy is less susceptible to price volatility than traditional energy sources. Renewable energy resources are essentially infinite, so the costs remain constant and predictable.
E. Abundant resource: Renewable energy is a force behind the abundance of resources. Renewable energy sources are virtually limitless and available to the vast majority of countries. This abundance of resources has the potential to reshape the global economy and increase sustainable development opportunities.
The answer is D. Aggressive pursuit of higher quarterly corporate earnings.
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a study was performed to test the effectiveness of a new treatment for migraines. there were 125 patients in the study. of these, 60 were randomly assigned to receive the standard treatment and 65 to receive the new treatment. all were instructed to take the medication at the onset of their next migraine and to notice if the pain of their migraine felt reduced after half an hour. fifty patients receiving the new treatment reported reduced pain, compared with only 40 of the patients receiving the standard treatment. the results seem to favor the new treatment, but could the difference just be due to chance?
Answers
Answer:
The difference in the effectiveness of the new treatment versus the standard treatment may be due to chance, and further studies may be needed to determine the effectiveness of the new treatment.
Step-by-step explanation:
To determine if the difference in the number of patients reporting reduced pain is statistically significant, we can use a hypothesis test.
The null hypothesis is that there is no difference between the two treatments in terms of the proportion of patients who report reduced pain after half an hour. The alternative hypothesis is that there is a difference between the two treatments.
We can use a two-sample proportion test to compare the proportions of patients reporting reduced pain in the two groups.
The test statistic is calculated as:
z = (p1 - p2) / sqrt(\(\sqrt{(p_hat * (1 - p_hat) / n1) + (p_hat * (1 - p_hat) / n2)}\))
where p1 and p2 are the proportions of patients in the two groups reporting reduced pain, p_ hat is the pooled proportion (calculated as the total number of patients reporting reduced pain divided by the total number of patients), and n1 and n2 are the sample sizes.
In this case, we have:
p1 = 50/65 = 0.769
p2 = 40/60 = 0.667
p_ hat = (50 + 40) / (65 + 60) = 0.672
n1 = 65
n2 = 60
Substituting these values into the formula, we get:
z = (0.769 - 0.667) / sqrt((0.672 * (1 - 0.672) / 65) + (0.672 * (1 - 0.672) / 60))
= 1.412
Using a standard normal distribution table or calculator, we can find the probability of obtaining a z-value of 1.412 or greater, assuming the null hypothesis is true. This is the p-value of the test.
The p-value turns out to be approximately 0.078, which is greater than the commonly used significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis and we cannot conclude that the difference in the number of patients reporting reduced pain is statistically significant.
Therefore, the difference in the effectiveness of the new treatment versus the standard treatment may be due to chance, and further studies may be needed to determine the effectiveness of the new treatment.
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PLZZZ GIVING BRAINLIST
Answers
Answer:
\( \dfrac{-7600}{3} \)
Step-by-step explanation:
The plane is descending, so the change in height is a negative change.
rate of descent = (change in height)/time
rate of descent = (new height - old height)/time
rate of descent = (7400 ft - 15000 ft)/(3 min)
rate of descent = (-7600 ft)/(3 min)
Answer: \( \dfrac{-7600}{3} \)
For questions 5 and 6, solve the system using the Elimination method.
6.) Зу = 26 -5x
6х +7y = 21
Answers
Answer:
\(\boxed{x = 7~~and~~y = -3}\)
.
Step-by-step explanation:
5x + 3y = 26 (times 6) 30x + 18y = 156
6x + 7y = 21 (times 5) 30x + 35y = 105
.
30x + 18y = 156
30x + 35y = 105
-17y = 51
\(y = \frac{51}{-17}\)
y = -3
.
Substitute the value of y to one of equations
6x + 7y = 21
6x + 7(-3) = 21
6x - 21 = 21
6x = 21 + 21
6x = 42
\(x = \frac{42}{6}\)
x = 7