Answer:
x=36
Step-by-step explanation:
The top angle = 30 + 37 = 67
The supplement of the exterior angle is another interior angle of the large triangle.
180 - 103 = 77
The vertically opposite angle to x is the 3rd angle of the large triangle.
67 + 77 + x = 180
144 + x = 180
Subtract 144 from both sides
x = 180 - 144
x = 36.
as an estimation we are told 5 miles is 8km convert 30
miles to km
Find the scale:
30 miles / 5miles = 6
Multiply km by the scale:
8 km x 6 = 48 km
The answer is 48 km
Answer: 48km
Step-by-step explanations:. It's just simple cross multiplication.
5miles----->8km
30miles---->?km
Answer is ( 30×8)÷5= 48km
Wendy went shopping for a new camera. The original price for the camera is $145, but is on sale for 30% off. Calculate the total price if she also has to pay sales tax of 7.25%.
Step-by-step explanation:
145×70÷100= $101.50
107.25% of 101.50 = $108.85
Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
43. given a standard deck of 52 playing cards, where half (clubs and spades) are black and half (hearts and diamonds) are red, what is the probability of picking three black cards in a row if the cards are not replaced?
The probability of picking three black cards in a row, without replacement, from a standard deck of 52 playing cards is 2/17, or approximately 0.1176 (rounded to four decimal places).
The probability of picking a black card on the first draw = 26/52 = 1/2
(since there are 26 black cards in the deck)
The probability of picking a black card on the second draw, given that a one was picked on the first draw and the card is not replaced = 25/51,
(since there are now only 25 black cards left out)
The probability of picking a black card on the third draw, given that the ones picked on the first two draws are not replaced = 24/50 = 12/25,
(since there are now only 24 black cards left out)
To pick three black cards in a row, we need to multiply the probabilities of each individual draw = (1/2) * (25/51) * (12/25) = 6/51
Simplifying this fraction, we get = 6/51 = 2/17
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Jane spent $40 on flowers. Each small flower cost $2, and each large flower cost $3. Write an equation that describes the relationship between cost and number of flowers purchased, where X is the number of small flowers and Y is the number of large flowers. Choose the best answer. 0 = 40 + 2X + 3Y 40 = 6XY 3Y = 2X + 40 40 = 2X + 3Y
Answer:
if i did this right i choose B.
Step-by-step explanation:
Tammy said that when multiplying by 9 she can insert a 0 after the other factor and then subtract the other factor to get the product. Is she correct? Explain.
Answer:
Answer is "Yes". Here is the explanation
Step-by-step explanation:
Lets take example 9 x 6 = 54. In this case 9 and 6 is factor and 54 is product.Based on question, 9 is one factor, and another factor in above example is 6. If we insert 0 to another factor, in this case, 6, then it becomes 60.Now Substract other factor (6). So it should be 60 - 6 = 54 (9 x 6)Answer is "Tammy is correct"Yes ,Tammy is correct.
What is factor?
A number that divides another number without leaving a remainder is called a factor. In other words, when multiplying two whole numbers gives us a product, the numbers we are multiplying are factors of the product because they are divisible by the product.There are two methods of finding factors .They are multiplication and division. In addition, divisibility rules can also be used.
Example: Consider the number 8. 8 can be the product of 1 and 8 and 2 and 4. Consequently, the factors of 8 are 1, 2, 4, 8. Therefore, when finding or solving factor problems, only positive numbers are taken into account, whole numbers and non-fractional numbers.
Given,Tammy said that when multiplying by 9 she can insert a 0 after the other factor and then subtract the other factor to get the product.
We are taking one example,
\(9 \times 5 = 45\)
In this case 9 and 5 are factors and 45 is product.
Now based on question,9 is one factor,and another factor in above example is 5.If we insert 0 to another factor,in this case 5 becomes 50.
Now according to question subtract other factor 5.
So it should be (50-5) = 45 which is equal to the above product (9×5)
Therefore Tammy is correct.
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1. Evaluate the expression a + b for a = 8 and b = 7 2. Evaluate the expression xy for x = 4 and y = 9 3. Evaluate the expression 3x + y for x = 11 and y = 8.
Answer:
Step-by-step explanation:
1. 8 + 7 = 15
2. (4)(9)= 36
3. 3(11) + 8 = 33 + 8 = 41
the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
Task 3: Eight avocados cost $4.
How much do 16 avocados cost? Explain your reasoning.
Answer:
If eight avocados is equal to four dollars, then sixteen (eight times two) is equal to eight dollars. Since you can't add another eight avocados to get twenty, you would add half of eight, which would also be half of the cost of eight. Adding four to sixteen gets you to twenty and adding two dollars to eight gets you to ten dollars.
Step-by-step explanation:
Solve the following equation: 6x - 3x + 13 = 7 + 9x - 6
Answer:
x = 2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
Use the following diagram to find the area of the sector indicated.
Step-by-step explanation:
You want 45 out 360 degrees of the entire area of the circle
ENTIRE area = pi r^2
45/ 360 * pi (11)^2 = 121/ 8 pi
Which values of x and y would make the following expression represent a real number? (6 + 3i)(x + yi)
Answer:
C. x = 6, y = –3
Step-by-step explanation:
I just took the test and got it right :)
Answer:
C
Step-by-step explanation:
Edge2020
A drug company is testing a new drug. There is already one approved drug for this infectious condition that clears up the infection in five days for most patients. The company hopes the new drug will work even faster. They plan to conduct testing of the new drug in a large group of patients. If they randomly select patients to take the new drug, what type of test will they use
To test the effectiveness and efficiency of the new drug, the drug company will most likely conduct a randomized controlled trial (RCT).
In an RCT, participants are randomly assigned to different groups. In this case, the drug company will randomly select patients from the large group to take the new drug. The purpose of random assignment is to create comparable groups and minimize bias, ensuring that any observed differences between the groups can be attributed to the treatment being tested.
The drug company will likely have two groups in the trial: the experimental group and the control group. The experimental group will receive the new drug being tested, while the control group will receive the approved drug that clears up the infection in five days. This setup allows for a direct comparison between the two drugs.
By randomly assigning patients to either the experimental or control group, the drug company can control for potential confounding variables that may affect the results. This helps ensure that any differences in outcomes between the two groups can be attributed to the specific drug being administered.
During the trial, the drug company will monitor the patients' responses and compare the effectiveness and speed of the new drug to the approved drug. They will collect data on the time it takes for the infection to clear up for each group of patients.
By using a randomized controlled trial, the drug company can gather rigorous scientific evidence on the efficacy of the new drug and determine if it works faster than the approved drug. This type of study design allows for a more reliable evaluation of the new drug's effectiveness, providing valuable information for regulatory authorities, healthcare professionals, and patients.
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Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 9 ounces (255 grams) per box. Each box contains 6 individual 1.5-ounce packets. To reduce the chances of shorting the customer, product design specifications call for the packet-filling process average to be set at 44.0 grams so that the average net weight per box of 6 packets will be 264 grams. Tolerances are set for the box to weigh 264 ‡ 13 grams. The standard deviation for the packet-filling process is 1.03 grams. The target process capability ratio is 1.33. One day, the packet-filling process average weight drifts
down to 43.5 grams. Is the packaging process capable? Is an adjustment needed?
Since the process capability index, Cok, is
To determine if the packaging process is capable or if an adjustment is needed, we can calculate the process capability index (Cpk) using the given information.
The process capability index (Cpk) is calculated as the minimum of two ratios: Cp and Cpk.
Cp (Process Capability):
Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)
In this case:
Upper Specification Limit = 264 + 13 grams = 277 grams
Lower Specification Limit = 264 - 13 grams = 251 grams
Standard Deviation = 1.03 grams
Cp = (277 - 251) / (6 * 1.03) ≈ 4.04
Cpk (Process Capability Index):
Cpk = min[(Upper Specification Limit - Process Mean) / (3 * Standard Deviation), (Process Mean - Lower Specification Limit) / (3 * Standard Deviation)]
Process Mean = 43.5 grams
Upper Specification Limit = 277 grams
Lower Specification Limit = 251 grams
Standard Deviation = 1.03 grams
Cpk = min[(277 - 43.5) / (3 * 1.03), (43.5 - 251) / (3 * 1.03)]
= min[233.5 / 3.09, -207.5 / 3.09]
= min[75.58, -67.22]
= -67.22 (since the negative value is smaller)
The process capability index (Cpk) is -67.22, which indicates that the process is not capable of meeting the specifications. An adjustment is needed to bring the process back within the desired range.
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There are 48 people in the stands cheering for ——— at the volleyball game and they are wearing white and maroon shirts. The ratio of marron to white is 5:3. How many people were wearing white shirts?
Suppose the future value of a \( 7.75 \% \) simple interest loan is \( \$ 1,321.17 \) at the end of 230 days. Find the present value of the loan. State your result to the nearest penny.
The present value of the loan is found to be approximately $70.28.
To find the present value of a loan, we can use the formula:
Present Value = Future Value / (1 + (interest rate * time))
Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:
Present Value = 1321.17 / (1 + (0.0775 * 230))
Calculating the expression in the parentheses first:
Present Value = 1321.17 / (1 + 17.8075)
Simplifying further:
Present Value = 1321.17 / 18.8075
Evaluating the division:
Present Value ≈ $70.28
Therefore, the present value of the loan is approximately $70.28.
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4/9 x 6 help me please
Answer: 2.666666etc..
Step-by-step explanation:
Answer:
2.64
Step by step explanation
4/9=0.44
0.44×6=2.64
What number produces a rational number when multiplied by 1/2
Number that produces a rational number when multiplied by 1/2 is any integer.
What is rational number?Rational number is a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.
Given number,
1/2, it is already a rational number.
Numbers that produces a rational number when multiplied by 1/2
is any integer.
Hence, any integer is the number that produces rational number when multiplied by 1/2.
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Find the coordinates of the zeros and the vertex in order to graph the parabola represented by the
equation y = -(x - 1)(x - 5).
Answer:
Step-by-step explanation:
y = (-x+1)(x-5)
zeroes
(-x+1)(x-5) = 0
-x + 1 = 0
x = 1
(1,0)
x -5 = 0
x = 5
(5,0)
Vertex
y = (-x+1)(x-5)
y = -x²+5x + x - 5
y = -x² + 6x - 5
x coordinate
-6/-2
3
y coordinate
-(3)² + 6(3) - 5
-9 + 18 - 5
- 14 + 18
4
V(3,4)
one of the people involved in the accident says that he was traveling 52 mph when he braked. how long in feet should his car's skid marks be?
Answer:
Step-by-step explanation:
The equation is V = √(20L).
Solve this equation for L and the result is L = V2/20
Since V = 57 mph, putting this value into the equation, L = (57)2/20 = 162.45 ft should be his skid marks
find the general solutions of the systems whose augmented ma- trices are given in exercises 7–14. 7. [ 1 3 4 7 ] 8. [ 1 4 0 7 ]
. [,3 9 7 6 ] [ 2 7 0 10 ]
The general solutions of the systems whose augmented matrices are given in exercises 7–14.The given matrices are:[ 1 3 4 7 ][ 1 4 0 7 ][,3 9 7 6 ] [ 2 7 0 10 ]First, we need to rewrite the given matrices in an equation form as below:x + 3y + 4z = 7 x + 4y = 7 3x + 9y + 7z = 6 2x + 7y = 10
Exercise 7Let's solve the system using Gaussian elimination.x + 3y + 4z = 7 x + 4y = 7 3x + 9y + 7z = 6 2x + 7y = 10
Step 1: Subtraction of row 1 from row 2 will eliminate x.x + 3y + 4z = 7 - x - 4y = -2 3x + 9y + 7z = 6 2x + 7y = 10
Step 2: Subtraction of 3 times row 1 from row 3 will eliminate x.x + 3y + 4z = 7 - x - 4y = -2 - 9y - 5z = -15 2x + 7y = 10
Step 3: Subtraction of 2 times row 1 from row 4 will eliminate x.x + 3y + 4z = 7 - x - 4y = -2 - 9y - 5z = -15 2x + 7y = 10 - y - 8z = -4
Step 4: Solving the remaining equations, we get:z = 1, y = 1, x = 2
Hence, the general solution of the given system is (2,1,1).
Exercise 8Let's solve the system using Gaussian elimination.x + 4y = 7 2x + 7y = 10
Step 1: Subtraction of 2 times row 1 from row 2 will eliminate x.x + 4y = 7 - 2y = -4
Step 2: Solving the remaining equation, we get:y = 2, x = -1
Hence, the general solution of the given system is (-1,2).
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The cost to rent a moving van is $21 plus an additional $14 per hour. If a moving van is rented for 4 hours, what is the cost?
Answer:
$67
Step-by-step explanation:
$14 multiplied by 4 hours is $56, plus the $21 makes it $67.
There were 425 guests at a hotel. 170 guests ordered food. what percentage of the guests ordered food?
There were 425 guests at a hotel. 170 guests ordered food. 40 percentage of the guests ordered food.
Define percentage.A percentage is a fraction of a whole in mathematics, which is denoted by the symbol per 100. A single unit out of a hundred, or one hundredth of something, is represented as a single percent, such as 1%. The Latin phrase per centum, which means by the hundred, is where the word percent originates. Percentage does really refer to a hundredth or 1/100 of something.
Given,
Total number of guests = 425
Guest who ordered food = 170
For percentage,
Value/ Total × 100%
170/425 × 100%
0.4 × 100%
40%
There were 425 guests at a hotel. 170 guests ordered food. 40 percentage of the guests ordered food.
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Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9
Part A: Solve by graphing.
Part B: Solve by substitution.
Part C: Solve by elimination.
Describe the process and steps you used to solve each method.
Answer:
Step-by-step explanation:
you do part a
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
b
Divide equation 2 by 3
x-y=3
add y to both sides
x=3+y
Sbustitute this into equation 1
4(3+y)=2
12+4y+y=2
5y= -10
y= -2
Plug this into equation 1
4x-2=2
x=1
Part c.
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
divide equation 2 by 3
x-y=3
add the two equations
(x-y)+(4x+y)=2+3
5x=5
x=1
Plug this into equation 1
4(1)+y=2
4+y=2
y= -2
For part a just create a table and graph it
A line passes through the point (-6,2) and has a slope of -4/3
Write an equation in point-slope form for this line.
Answer:
Step-by-step explanation:
If a 14 oz. box contains 4 cookies, how many ounces are in a box that contains
10 cookies?
(a) (i) What conditions should be satisfied to use image averaging method for noise reduction? (ii) Using mathematical expressions, characterize the noise in the resultant image when K images are averaged, as K becomes large. (iii) Would you select spatial averaging or temporal image averaging when either method can be used for noise reduction? Explain your selection in detail.
(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-
(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.
(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K
Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.
Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.
(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.
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The box-and-whisker plot below represents some data set. What is the maximum value of the data?
I really need help..im confused
find the length of rt
Answer:
6
Step-by-step explanation: