Answer:
1. a. 110
because 5 less than 35 is 30 and 5 less than 10 is 5. it would only make sense for 5 less than 110 is 105
7. D. 54
every other number in the equation is one less (8,7,6,5)
and inbetween those the number is multiplied by 3 (2×3=6, 6×3=18) so then 18×3 =54
the middle left. D. 27
every other one is multiplied by 2 (2×2=4, 4×2=8, 8×2=16) but the first one is multiplied by 3. (1×3=3 3×3=9 9×3=27 27×3=81)
11. A.11
it adds 6 every other (17+6=23, 23+6=29)
for every other first one it adds 4. (7+4=11, 11+4=15, 15+4=19)
12. D. 18
for every other it adds 2.(4+2=6, 6+2=8)
for every other second it adds 6. (6+6=12, 12+6=18, 18+6=24)
15. D. 49
for every other it subtracts 6 (67-6=61, 61-6=55, 55-6=49)
the every other second it divides in half. (32÷2=16, 16÷2=8, 8÷2=4)
18. D. 17
for every other it adds 2.(13+2=15, 15+2=17, 17+2=19)
for every other second it subtracts 2. (21-2=19, 19-2=17, 17-2=15)
Step-by-step explanation:
im pretty sure these are correct, i hope this helps
x - 3y = -16
X+2y=4
Answer:
Step-by-step explanation:
x - 3y = -16
x + 2y = 4
-x + 3y = 16
x + 2y = 4
5y = 20
y = 4
x + 2(4) = 4
x + 8 = 4
x = -4
(-4, 4)
A group of friends receives a dinner bill for $87.50$87.50. The sales tax rate is 5%5%. They want to leave a 15%15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?
Answer:
105.66
Step-by-step explanation:
87.5 times 1.05= 91.875
then you do 91.875 times 1.15 = 105.656
Answer:
I got $105.66
Step-by-step explanation:
I multiplied the subtotal by .05(to represent sales tax %) then added the solution to $87.50. then I multiplied .15(tip) to $87.50. Added that to the previous solution and got $105.66. Read below for clarification.
87.50(.05) = 4.375(or 4.38)
87.50 + 4.375 = 91.875
87.50(.15) = 13.125
91.875 + 13.125 = $105.66
2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
To know more about hypothesis test refer here:
https://brainly.com/question/29996729#
#SPJ11
HELP PLS HEKP WITH EXPLANATION‼️‼️‼️‼️
find the value of x
1) 62°
2) 90°
3) 180°
4) 28°
Answer:
Hello! answer: 28
Step-by-step explanation:
This is a complementary angle! So it will add up to 90 degrees so all we have to do is 90 - 62 so 90 - 62 = 28 so 28 is our answer!
What is the equation of the line that passes through the point (5, -2) and has a slope of 6/5
Answer: y = (6/5)x-8
Slope = 6/5 = 1.2
Y intercept = -8
==================================================
Work Shown:
m = 6/5 = 1.2 is the given slope
(x,y) = (5,-2) is the point the line goes through
y = mx+b .... slope intercept form
y = 1.2x + b .... plug in the given slope
-2 = 1.2*5 + b ... plug in the coordinates of the given point
-2 = 6 + b
-2-6 = 6+b-6 .... subtracting 6 from both sides
-8 = b
b = -8
The equation y = mx+b turns into y = 1.2x-8
This is equivalent to y = (6/5)x-8
Tell whether the angels are adjacent or vertical. Then find the value of x.
(please show how you solved the problem!)
Answer:
Angles: adjacent
x = 18
Step-by-step explanation:
Adjacent Angles: angles that border each other to the left/right
Vertical Angles: opposite set of angles that are congruent
Given these definitions, these angles are not only adjacent, but also right angles. Right angles add to 90°.
Thus, 3x + 2x = 90Step 1: Combine like terms.
\(3x + 2x = 90\) \(5x = 90\)Step 2: Divide both sides by 5.
5x ÷ 5 = 90 ÷ 5x = 18Therefore, the answer is adjacent and x = 18.
2:6 and 24:72 are equal ratios. True OR False?
the same digits are used for the expression 2^5 and 5^2 explain how to compare the value of the expressions
Answer:
5^2 < 2^5
Step-by-step explanation:
2^5 = 2x2x2x2x2 = 32
5^2 = 5x5 = 25,
since 25 is less than 32, the comparison 5^2 < 2^5 is correct, or 25 < 32
The value of 2^5 is greater than 5^2.
What is an expression?An expression in maths a sentence with a minimum of two numbers or variables and at least one math operation.
Given that the same digits are used for the expression 2^5 and 5^2
2^5 = 32
5^2 = 25
Therefore, 2^5 > 5^2
Hence, The value of 2^5 is greater than 5^2.
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ2
The number of gallos of water used to water trees i'd 30 times the number of trees
y = 30x
Calculate the number of gallos of water used to water trees i'd 30 times the number of trees.
Let's take,
Number of gallons = y
Number of trees = x
Then, according to the problem,
Number of gallons = 30*(Number of trees)
So….. y = 30*x
y = 30x
To learn more about water tree, visit;
https://brainly.com/question/28351285
#SPJ4
Which of these measures of central location is not sensitive to extreme values?
a. The mean
b. The median
c. The mode
d. All of these choices are true.
The measure of central location that is not sensitive to extreme values is the median.
Option (b) The median represents the middle value of a dataset when it is arranged in ascending or descending order. It is not influenced by extreme values or outliers.
Option (a) The mean is sensitive to extreme values because it takes into account all the values in the dataset, including the extreme values. A single extreme value can significantly affect the mean.
Option (c) The mode represents the value that appears most frequently in a dataset. It is not typically affected by extreme values, but if the dataset has multiple modes, it may not be a reliable measure of central location.
Therefore, The measure of central location that is not sensitive to extreme values is the median. the correct answer is (b) The median.
Learn more about Median here
https://brainly.com/question/300591
#SPJ4
Find the surface area of the figure.
2 m
2 m
11 m
11 m
2 m
5 m
5 m
SA = [? ]m²
Answer:
174m²
Step-by-step explanation:
SA = 2(wl + hl + hw)
= 2(5m x 11m + 2m x 11m + 2m x 5m)
= 2(55m² + 22m² + 10m²)
= 2 x 87m²
=174m²//
number 7 please
7. Determine the approximate location of a GPS receiver if it has been determined that: (4 mark) - Station 1 (at 74, 41) is \( 44 \mathrm{~km} \) away. - Station \( 2( \) at 0,43\( ) \) is \( 38 \math
If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).
The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.
It can be determined by the following method:
1: Plot the given stations on a coordinate plane. Stations are:
Station 1: (74, 41)
Station 2: (0, 43)
2: Calculate the distance of the GPS receiver from each station using the distance formula.
Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by
d = √[(x2 - x1)² + (y2 - y1)²]
Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km
Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km
3: Plot the given distances as the circle on the coordinate plane.
Circle 1: Centred at (74, 41) with a radius of 44 km.
Circle 2: Centred at (0, 43) with a radius of 38 km.
4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).
You can learn more about GPS receivers at: brainly.com/question/32247160
#SPJ11
Find an equation that has the given solutions. (There are many correct answers.) 2√11, -√/11
A quadratic equation with the given solutions of 2√11 and -√/11 can be expressed as x^2 - 4√11x + 1 = 0, but there are multiple correct equations.
To find an equation with the given solutions, we start by using the fact that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions can be determined using the quadratic formula: x = (-b ± √(b^2 - 4ac))/(2a).
Given the solutions 2√11 and -√/11, we can see that the square root of 11 is common in both solutions. We can therefore rewrite the solutions as 2√11 and -√11/11.
By comparing this with the quadratic formula, we can see that b = -4√11 and ac = 1. Plugging these values into the quadratic formula, we get x = (-(-4√11) ± √((-4√11)^2 - 411))/(21), which simplifies to x = (4√11 ± √(176 - 4))/(2).
To make the equation easier to work with, we can further simplify the expression as x = (4√11 ± √172)/(2). Finally, by rationalizing the denominator, we get x = (2√11 ± √43)/(1), which can be expressed as x^2 - 4√11x + 1 = 0.
For more information on equation visit: brainly.com/question/25812462
#SPJ11
Someone please help me with this I can’t get it wrong
Answer:
a = 7
Step-by-step explanation:
Using the Cosine rule in the triangle
a² = b² + c² - (2bc cosA )
= 2² + (5\(\sqrt{3}\) )² - (2 × 2 × 5\(\sqrt{3}\) × cos30° )
= 4 + 75 - (20\(\sqrt{3}\) × \(\frac{\sqrt{3} }{2}\) ) ← exact value of cos30°
= 79 - ( 10 × 3)
= 79 - 30
= 49 ( take square root of both sides )
a = \(\sqrt{49}\) = 7
Answer:
a = 7
Step-by-step explanation:
a² = b² + c² - 2bc × cos α
a² = 2² + ( 5√3 )² - 2 × 2 × 5√3 × \(\frac{\sqrt{3} }{2}\)
a² = 49
a = 7
1.) 12x^4yz^2 + 18xy - 24xz2.) 6x^2 - 9x - 4x + 63.) 20x^2 + 25x + 4x + 5
From the problem, we have :
\(12x^4yz^2+18xy-24xz\)The common factor will be 6x, this will be :
\(\begin{gathered} 6x(2x^3yz^2)+6x(3y)-6x(4z) \\ \text{Factor out 6x} \\ 6x(2x^3yz^2+3y-4z) \end{gathered}\)The answer is :
\(6x(2x^3yz^2+3y-4z)\)A ________ chart is a special type of scatter plot in which the data points in the scatter plot are connected with a line.
A line chart is a special type of scatter plot in which the data points in the scatter plot are connected with a line. A line chart is a graphical representation of data that is used to display information that changes over time. The line chart is also known as a line graph or a time-series graph. The data points are plotted on a grid where the x-axis represents time and the y-axis represents the value of the data.
The data points in the scatter plot are connected with a line to show the trend or pattern in the data. Line charts are commonly used to visualize data in business, economics, science, and engineering.Line charts are useful for displaying information that changes over time. They are particularly useful for tracking trends and changes in data. Line charts are often used to visualize stock prices,
sales figures, weather patterns, and other types of data that change over time. Line charts are also used to compare two or more sets of data. By plotting multiple lines on the same graph, you can easily compare the trends and patterns in the data.Overall, line charts are a useful tool for visualizing data and communicating information to others. They are easy to read, understand, and interpret, and can be used to display a wide range of data sets.
To know more about graphical visit:
https://brainly.com/question/14191900
#SPJ11
e function.
f(x)= -x²
Find f(-1)
Answer:
f(-1) = -1
Step-by-step explanation:
f(x) = -x^2
Let x = -1
f(-1) = - ( -1) ^2
= -1
The three sides of a triangle are n. 3n+2, and 4n - 13. If the perimeter of the triangle is 69 inches, what is the length of each side?
Separate multiple entries with a comma.
Answer:
8, 26 and 19
Step-by-step explanation:
Perimeter is the length of all sides of a polygon. It is simply the length of the boundary around a closed shape. Perimeter of a triangle = Sum of all three sides.
Hence,
\(\Rightarrow\) n + 3n + 2 + 4n - 13 = 69 (acc. to Q)
\(\Rightarrow\) n + 3n + 4n + 2 - 13 = 69
\(\Rightarrow\) 8n - 11 = 69
\(\Rightarrow\) 8n = 80
\(\Rightarrow\) n = 80/10
\(\Rightarrow\) n = 8
Length of all three sides:
n = 83n + 2 = 3(8) + 2 = 264n - 13 = 4(8) - 13 = 19stephan drove to his aunt's house at 60mph. he made the reutrn trip, over the same roadway, at 40mph. what was stephen's
Stephen's average speed for the round trip was 48 mph.
To find Stephen's average speed, we can use the formula:
Average Speed = Total Distance / Total Time
Let's assume the distance from Stephen's house to his aunt's house is 'd' miles.
On the way to his aunt's house, Stephen traveled at a speed of 60 mph. So the time taken for this leg of the trip is given by:
Time = Distance / Speed = d / 60
On the return trip, Stephen traveled at a speed of 40 mph. So the time taken for this leg of the trip is:
Time = Distance / Speed = d / 40
The total time for the round trip is the sum of the times for the outward and return trips:
Total Time = d / 60 + d / 40
To find the average speed, we divide the total distance by the total time:
Average Speed = Total Distance / Total Time
The total distance for the round trip is 2d (since it's the same roadway for both trips).
Average Speed = 2d / (d / 60 + d / 40)
Simplifying this expression, we get:
Average Speed = 2d / ((3d + 2d) / 120) = 2d / (5d / 120) = 2d * 120 / 5d = 240 / 5 = 48 mph
Therefore, Stephen's average speed for the round trip was 48 mph.
For more questions like Speed click the link below:
https://brainly.com/question/17661499
#SPJ11
Geet sells televisions. He earns a fixed amount for each television and an additional $30 if the buyer gets an extended warranty. If Geet sells 18 televisions with extended warranties, He earns $1,710. How much is the fixed amount Geet earns for each television?
Answer:
understand
Step-by-step explanation:
The fixed amount Geet earns for each television is $60.
helpppppppp asappppppppppp pleaseeee
Length of sides:
A = 4 ftB = 8 ftC = 6 ftD = 10 ftSurface Area:
(perimeter of base)(length) + (base)(height)
(8+10+6)(4)+(8)(6)
(24)(4)+48
96+48
144 ft²
2/3 of a class are girls.
a) What is the ratio girls to boys in the class?
b) What is the ratio boys to girls in the class?
(4.2x10^6)(1.1x10^7)
Answer:4.62x10^13
Step-by-step explanation:
Kimai is making blankets for charity. In order to determine how many hats she can make per hour, she created 3/5 of the hats in 1/8 of an hour. Which would be the proper form of the unit rate?
hurry!!!!
When Kimai is making blankets for charity, the proper form of the unit rate is 4 hats per hour.
How to calculate the value?From the information given, it was stated that Kimai is making blankets for charity. In order to determine how many hats she can make per hour, she created 3/5 of the hats in 1/8 of an hour.
Therefore, the proper form of the unit rate will be:
= Amount of hats / Time
= 3/5 ÷ 1/8
= 3/5 × 8/1
= 4.8
Therefore, the proper rate will be 4 hats per hour.
Learn more about fractions on:
brainly.com/question/1622425
#SPJ1
Answer: 4 hats per hour
Step-by-step explanation:
using substitution, how do you solve the simulateous equations y=3x+2 and y=x+6 ?
Answer:
X = 2
Step-by-step explanation:
y = 3x +2
y = x + 6
x + 6 = 3x + 2
6 = 2x + 2
4 = 2x
x = 2
Identify the y-intercept of the quadratic f(x)=4x^2-12x+25
Answer:
The y-intercepts of the quadratic are (0, 25)
Step-by-step explanation:
Hope I helped, have a good day
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
Tom made fruit punch for a party. He mixed 2 gallons of orange juice, 4 quarts of pineapple juice, 3 pints of cranberry juice, and 8 cups of apple juice. How many quarts did he make in all?
What is the area of this trapezoid?
Enter your answer in the box.
_units
Answer:
A = 88 units²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = \(\frac{1}{2}\) h (b₁ + b₂ )
h is the height between the bases and b₁, b₂ are the bases
here h = 4 , b₁ = 17 + 5 + 5 = 27 , b₂ = 17 , then
A = \(\frac{1}{2}\) × 4 × (27 + 17) = 2 × 44 = 88 units²
which of the following is not an advantage of using a sample versus a census? question 3 options: smaller dataset to analyze cost ready access to respondents population size
Out of the given options, the one that is not an advantage of using a sample versus a census is population size. The reason for this is that whether you use a sample or a census, the population size remains the same. However, there are several advantages to using a sample over a census.
Firstly, a sample generates a smaller dataset to analyze, which can save time and resources. Secondly, using a sample can be less expensive than conducting a census, which involves surveying every member of the population. Lastly, using a sample provides ready access to respondents, as it is often easier to reach a smaller group of people than an entire population. However, it is important to note that using a sample also has its limitations, such as the potential for sampling bias and the need to ensure that the sample is representative of the population being studied. Overall, the choice between using a sample or a census depends on the research question, available resources, and the level of accuracy and precision required.
Know more about census here:
https://brainly.com/question/28839458
#SPJ11