Answer: 2
Step-by-step explanation: 0 1 1 2 2 3 3 order
011 2 middle one 233
A company claims that its tablet computers have an average recharge time of 3 hours with a standard deviation of 1.4 hours. Using a random sample of 50 company tablet computers, a consumer group determines a mean recharge time of 2.5 hours. H0: µ = 3 Ha: µ < 3 a = 5% σ = 1.4 z* = –1.65
A company claims that its tablet computers have an average recharge time of 3 hours with a standard deviation of 1.4 hours. Using a random sample of 50 company tablet computers, a consumer group determines a mean recharge time of 2.5 hours. H0: µ = 3 Ha: µ < 3 a = 5% σ = 1.4 z* = –1.65.
Based on the given information, we can perform a one-sample z-test to determine if the sample mean of 2.5 hours is significantly different from the claimed population mean of 3 hours, with a significance level of 0.05.
The null hypothesis H0 is that the population mean recharge time µ is equal to 3 hours, and the alternative hypothesis Ha is that µ is less than 3 hours.
We will find the test statistic z using the formula
z = (x - µ) / (σ / √n)
Where x is the sample mean of 2.5 hours, µ is the population mean of 3 hours, σ is the population standard deviation of 1.4 hours, and n is the sample size of 50.
z = (2.5 - 3) / (1.4 / √50) = -2.38
The calculated test statistic z of -2.38 is less than the critical value z* of -1.65 at a significance level of 0.05, indicating that we can reject the null hypothesis H0.
Hence, we can conclude that the mean recharge time of the company tablet computers is less than 3 hours, based on the sample of 50 tablets tested by the consumer group.
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Solve for a. -3.7a 1.7 = -6.07
Answer:
a = 2.1
Step-by-step explanation:
-3.7a + 1.7 = -6.07
-3.7a = -7.77
a = 2.1
Find the area of the red-shaded region (arc ED). Round your answer to the nearest
hundredths.
Answer:
Step-by-step explanation:
It should be 177.88
How many teaspoons are there in 6 milliliters?
Hint: 1mL≈0.2tsp
Round your answer to the nearest tenth.
Answer:
1.2 tsp
Step-by-step explanation:
6x0.2=1.2
There are 6 mL,and if each mL is 0.2tsp, then you have to multiply.
Help me shoe work on this question please
The line /TV/ that we have been asked to find from the information is the question is obtained as 7.
What is the sine rule?The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.
We know that the missing angle U is obtained from;
180 - (58.3 + 80)
= 41.7°
Then;
8.9/Sin 58.3 = /TV//Sin 41.7
/TV/ = 8.9 Sin 41.7/Sin 58.3
/TV/ = 5.9/0.85
= 7
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4. {35, 38, 31, 40, 34, 37, 84, 32}
Mean
Median
Mode
The mean is 41.37
The Median is 36
The first step is to arrange the number orderly
31, 32,34,35,37,38,40,84
The mean is
= 31 + 32+34+35+38+37+40+84/8
= 331/8
= 41.37
The median
= 35+37/2
= 72/2
= 36
The mode
= N/A
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Corina makes 27$ for every 2 hours that she works.If she worked 36 hours this week,how much money did she make
Answer:
Corina makes $27 for every 2 hours that she works, so she makes $13.50 for every hour she works (since 2 times $13.50 equals $27).
If she worked 36 hours this week, then she made:
$13.50 x 36 = $486
Therefore, Corina made $486 this week.
Step-by-step explanation:
Answer: $486
Step-by-step explanation:
27/2= 13.5
$13.5 per hour
13.5 x 36 = $486
a survey was given to 318 students at east river high school asking what their grade point average (gpa) was. which is the best graphical representation to display the data?
The best graphical representation to display the data on the GPA of 318 students at East River High School would be a histogram.
What is a histogram?A histogram is a graphical representation of data that groups data into bins or intervals and displays the frequency of occurrences of data within each bin. In this case, the bins would represent GPA ranges, and the frequency would represent the number of students falling within each GPA range.
A histogram is a good choice for displaying this data because it allows the viewer to see the distribution of GPA scores across the student population. It provides a visual representation of how many students fall within certain GPA ranges and can help identify trends in the data.
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function for domain -12,-7,0,4,12 range0,1,2
If the domain is{ -12,-7,0,4,12} and range is {0,1,2} then the function is {(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}
The domain of a function is the set of values that we are allowed to plug into our function.
This set is the x values in a function such as f(x).
The range of a function is the set of values that the function assumes
domain is{ -12,-7,0,4,12} range is {0,1,2}
The function that has the given domain and range is:
{(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}
Therefore, the function is {(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}
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Which function has the following domain and range?
Domain: {-12, - 7, 0, 4, 12}
Range: {0, 1, 2}
O {(-12, 12), (0, 2)}
O {(4, 1), (-7, 0), (12, 2), (0, 0), ( − 12, 1)}
O {(-12, 0), ( – 7, 1), (0, 2), ( – 4, 5), (3, -1)}
O {(0,4), (2, 12), (1, -7), (0, - 12), (1, 0)}
What is the slope/ rate of change? please?
The slope of the points in this table is equal to 1.2.
How to calculate the slope based on the table?In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided in the table, we can logically deduce the following data points on the line:
Points on x-axis = (-3, 1).Points on y-axis = (-1.1, 3.7).Substituting the given points into the slope formula, we have the following;
Slope, m = (3.7 + 1.1)/(1 + 3)
Slope, m = 4.8/4
Slope, m = 1.2.
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If the dimensions of a prism with surface area 42 m^2 and volume 18 m^3 are enlarged by a factor of 4, what is the surface area and volume of the prism?
SA = 2lw + 2lh + 2wh = 42 m^2 ... (1)
And the volume of the original prism is given by:
V = lwh = 18 m^3 ... (2)
If you enlarge the dimensions of the prism by a factor of 4, then the new dimensions will be 4l, 4w, and 4h. The new surface area of the prism will be:
New SA = 2(4l)(4w) + 2(4l)(4h) + 2(4w)(4h)
= 32lw + 32lh + 32wh
= 32(2lw + 2lh + 2wh)
= 32(42)
= 1344 m^2
So, the surface area of the enlarged prism is 1344 m^2.
Similarly, the new volume of the prism will be:
New V = (4l)(4w)(4h)
= 64lwh
= 64(18)
= 1152 m^3
So, the volume of the enlarged prism is 1152 m^3.
Therefore, the surface area of the prism is 1344 m^2 and the volume of the prism is 1152 m^3 after the dimensions are enlarged by a factor of 4.
*IG:whis.sama_ent
Question 5(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
For the given data correct option is option a.) The range is the best measure of variability, and it equals 8.
How to find the measure of variability?The dots on the line plot reflect the quantity of roses purchased every day at a grocery shop based on the supplied data. The dots are scattered horizontally, with some dots above specific numbers.
1, 2, 6, 7, 8, and 9 have dots above them , thus,
for given problem,
[tex]\text{Number of Rose Bouquets: 1, 2, 6, 7, 8, 9}[/tex]
[tex]\text{The range is the difference between the highest and lowest values:}[/tex]
[tex]Range = \text{Highest value} - \text{ Lowest value}\\Range = 9 - 1\\Range = 8[/tex]
The Interquartile Range (IQR) is a measure of variability that considers the difference between the data set's 25th and 75th percentiles (Q3).
The median (Q2) would be towards these digits since there are dots above numbers 6, 7, and 8. As a result, using the information provided, the IQR cannot be computed precisely.
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. While shopping, Sofia finds a dress she likes at a discounted price. The price on the tag before the discount is p dollars. She must pay sales tax on the discounted price of the dress. Sofia calculates that she must pay p-0.15p+ 0.07(0.85p) to buy the dress. What does 0.85p represent?
The 0.85p in the expression represents the price of the dress after removing the discount
What does 0.85p represent in the equation?From the question, we have the following parameters that can be used in our computation:
Sofia calculates that she must pay the following to buy the dress
p - 0.15p + 0.07(0.85p)
The 0.85p in the expression represents the price of the dress after removing the discount
Hence, 0.85 is the discounted price
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What is the procedure for quickly stopping a car with ABS
Answer:
Press down the brake firmly and smoothly. ...
Don't brake and swerve the car at the same time. ...
Avoid using your transmission for quick stops. ...
Focus on where you want to go, not what you want to avoid.
Round your answer to the nearest tenth, and type it in the blank without units.
Answer:
Set your calculator to degree mode.
sin(72°) = x/25
x = 25sin(72°) = about 23.8 feet
Convert 4.6 cm = ________mm
Use separation of variables to solve the initial value problem. Indicate the domain over which the solution is valid.
dy/dx=10x^9y and y=4 when x=0
The solution to the initial value problem is [tex]y = 4e^{(5x^{10})[/tex]. The domain of the function is all real numbers.
What is first-order ordinary differential equations?Ordinary differential equations of the first order only take into account the dependent variable y's first derivative with regard to the independent variable x. They could be written as follows:
f(x,y) = dy/dx
where the supplied function of both x and y is f(x,y). There are numerous methods for solving first-order ordinary differential equations, which are crucial in many branches of science and engineering. One such method is variable separation. Other methods include Bernoulli equations, integrating components, and precise equations.
The given differential function is:
[tex]dy/dx = 10x{^9}y[/tex]
Separating the variables we have:
dy/y = 10x^9 dx
Now, integrating on both sides:
[tex]]int dy/y = \int 10x^9 dx\\ln (y) = 5x^{10} + C[/tex]
Solving for y:
[tex]y = ke^{(5x^{10})[/tex]
Now, for the initial values y = 4 and x = 0 we have:
[tex]4 = ke^{(0)}[/tex]
k = 4
Hence, the solution to the initial value problem is [tex]y = 4e^{(5x^{10})}[/tex].
The domain of the function is all real numbers.
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Sally invested some money into a savings account that earns 7. 2%
annual simple interest. At the end of 9 years, she earned $745. 20 in
interest. How much money did she put into the account initially?
Round to the nearest dollar
According to simple interest, Sally initially put $1,150 into the savings account.
To solve this problem, we need to use the formula for simple interest, which is:
Simple Interest = Principal x Rate x Time
We know that the interest earned is $745.20, the rate is 7.2%, and the time is 9 years. We can plug these values into the formula and solve for the principal:
$745.20 = Principal x 0.072 x 9
$745.20 = 0.648 x Principal
Principal = $1,150
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what is the best way to describe the center of the data represented in this line plot? select from the drop down menus to correctly complete the statement
Given that there are no outliers in the data, the mean of 3.2 inches should be used to characterise the centre of the data represented by this line plot.
What metric should be used to describe a data set's centre?It is dependent on whether or not the data set contains outliers.
If there are no outliers, the mean should be utilised.
If this is the case, the median should be utilised.
The dot plot shows how many times each measure appears. Because there are no outliers, all values are near, the mean should be utilised. It is provided by:
M = (2 x 1 + 3 x 2 + 2 x 3 + 1 x 5 + 1 x 6 + 1 x 7)/(2 + 3 + 2 + 1 + 1).
The mean of 3.2 inches should be used to define the data centre in this line graphic.
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Complete question:
What is the best way to describe the center of the data represented in this line plot?
Select from the drop-down menus to correctly complete the statement.
The Choose...is Mean or median Choose.... 2 inches 2.5 inches 3 inches or 3.2 inches
Stein Corp. reported the following information for 2013 and 2014.Accounts payable, December 31, 2013 $ 51,000Accounts payable, December 31, 2014 46,000Purchases--2014 467,000How much cash was paid for merchandise purchases during 2014?A. $421,000B. $462,000C. $467,000D. $472,000
The total amount of cash paid by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014 is $467,000.
In order to evaluate the cash paid for merchandise purchases during 2014, it is crucial to calculate the change in accounts payable from December 31, 2013 to December 31, 2014 and summation of purchases made during 2014.
Accounts payable change
= Accounts payable at December 31, 2014 - Accounts payable at December 31, 2013
= $46,000 - $51,000
= -$5,000
This explains that accounts payable decreased by $5,000 from December 31, 2013 to December 31, 2014.
Cash paid for merchandise purchases in 2014
= Purchases during 2014 + Change in accounts payable
= $467,000 - $5,000
= $462,000
The total amount of cash paid by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014 is $467,000.
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18 Two vans leave a campground at the
same time. One is traveling north at a
speed that is 10 miles per hour faster
than the other, which is traveling south.
After 2.5 hours, the vans are 255 miles
apart. What is the speed in miles per hour
of the van traveling south?
F 56
G 46
H 66
J 36
The speed of the van traveling south is 46 miles per hour. The correct option is (G) 46.
To solve this problemLet's call the speed of the van traveling south "x" in miles per hour. Then, the speed of the van traveling north is "x + 10" miles per hour.
We know that the vans have been traveling for 2.5 hours, and that they are 255 miles apart. This means that the total distance traveled by both vans is 255 miles:
Distance traveled by the van traveling south + Distance traveled by the van traveling north = 255 miles
Using the formula distance = speed × time, we can express the distances traveled by each van in terms of their speeds and the time they traveled:
Distance traveled by the van traveling south = x × 2.5 = 2.5x
Distance traveled by the van traveling north = (x + 10) × 2.5 = 2.5x + 25
Substituting these expressions into the equation above, we get:
2.5x + 2.5x + 25 = 255
Simplifying this equation, we get
5x + 25 = 255
Subtracting 25 from both sides, we get:
5x = 230
Dividing both sides by 5, we get:
x = 46
Therefore, the speed of the van traveling south is 46 miles per hour. Answer: (G) 46.
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Two boys share 35notebooks in the radio of 2:5. How many notebooks does each get?
When two boys share 35notebooks in the ratio of 2:5, each boy will get these numbers of notebooks:
Boy A = 10Boy B = 25.What is the ratio?The ratio refers to the relative or comparative size of one value, quantity, or number compared to another.
Ratios are depicted as proportional values using fractions, decimals, percentages, or the standard ratio form (:).
Ratios give the equivalent values of quantities that are compared.
The total number of notebooks to share between two boys = 35
The sharing ratio = 2:5
The sum of ratios = 7 (2 + 5)
The share of Boy A = 10 (²/₂ x 35)
The share of Boy B = 25 (⁵/₇ x 35)
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help me right now
Mixed numbers with unlike denominators ______ be subtracted from each other.
A. Mixed numbers with unlike denominators cannot be subtracted from each other.
B. Mixed numbers with unlike denominators can be subtracted from each other.
Answer:
B. Mixed numbers with unlike denominators can be subtracted from each other.
Step-by-step explanation:
Mixed numbers are numbers that have a whole part and a fractional part, such as 2 1/4 or 3 3/5. Unlike denominators are fractions that have different numbers in the bottom, such as 1/4 and 3/5. They are also called unlikeable denominators because they make math harder and more annoying. Who likes to deal with fractions anyway?
Mixed numbers with unlike denominators can be subtracted from each other, but only if you follow some tedious steps. First, you have to find a common denominator for the fractions, which is the smallest number that both denominators can divide into. This is like finding a common enemy for two rival gangs. For example, to subtract 2 1/4 from 3 3/5, we need to find a common denominator for 1/4 and 3/5. The least common denominator is 20, because both 4 and 5 can divide into it. Then, we have to multiply both fractions by the same factor to get equivalent fractions with the same denominator. This is like dressing up both gangs in the same uniform to make them look alike. For example, we multiply 1/4 by 5/5 and 3/5 by 4/4 to get:
2 1/4 = 2 5/20
3 3/5 = 3 12/20
Now we can subtract the fractions by subtracting the numerators and keeping the denominators the same. This is like taking away some members from each gang and seeing who has more left. For example, we subtract 5/20 from 12/20 and get 7/20. Then we subtract 2 from 3 and get 1. Finally, we add the whole part and the fractional part together to get the final answer. This is like adding up the remaining members of one gang and giving them a name. For example, we get:
3 12/20 - 2 5/20 = (3 - 2) + (12/20 - 5/20) = 1 + 7/20 = 1 7/20
Therefore, the correct answer is B. Mixed numbers with unlike denominators can be subtracted from each other. But why would you want to do that? It's much easier to use decimals or percentages instead. Fractions are so last century.
help me with dis question please
The area of the given figure is 20cm².
What is a kite?
A quadrilateral called a kite has two pairs of sides that are each the same length and are next to one another.
What is area of a kite?
A kite's diagonals are perpendicular. The area of a kite is calculated as half of the diagonal product, which is the same as the area of a rhombus. The formula: can be used to express the area of a kite.
Area of Kite =1/2×D1×D2
D1 is the kite's long diagonal.
D2 is the kite's short diagonal.
when we draw the figure in coordinate system we find that it is shape of a kite,
so area of kite = 1/2*4*4+1/2*4*6
= 20 cm²
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In the hawk-dove game, at what value of c do doves and hawkshave equal payoffs when hawks are extremely rare?0.501There is no such value.
This is because when hawks are extremely rare, their payoff is higher than that of doves regardless of the value of c. Therefore, there is no point at which their payoffs will be equal.
The mathematical field of game theory helps shed light on how it emerges. Game theory is “the study of mathematical models of strategic interaction among rational decision-makers” (according to Wikipedia).
Game theory applies to “games” as varied as economics, politics, chess, and tic-tac-toe. In each case, there are some rules, some “players” or “agents”, and a set of strategies available to them.
Each player has a concept of “utility” – a “currency” they seek to individually maximize through the strategies they play.
The currency of evolution is the concept of fitness.
That is, the chance of being represented in the next generation. Genes and traits which increase the odds of survival to reproductive age are more likely to be passed on to future generations. Therefore, they confer a greater fitness to the individual which "hosts” them.
The evolutionary game theory takes the concepts from game theory and applies them in an evolutionary context.
In the hawk-dove game, at what value of c do doves and hawks have equal payoffs when hawks are extremely rare? The answer is that there is no such value. This is because when hawks are extremely rare, their payoff is higher than that of doves regardless of the value of c. Therefore, there is no point at which their payoffs will be equal.
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Solve for x in the equation 2x + 3 > 11
Hi !
[tex]2x + 3 > 11\\\iff 2x > 8\\\iff x > \frac{8}{2}\\ \iff x > 4[/tex]
Have a nice day ;)
Answer:
x > 4
Isolate the variable by dividing each side by the factors that don't contain the variable
Keep moving: find the perimeter of each figure
The perimeter of the figure is as follows
1. 93 cm
2. 42 cm
3. 45 cm
What is perimeterPerimeter is the total length of the boundary of a two-dimensional shape or figure. In other words, it is the sum of the lengths of all the sides or edges of the shape.
Perimeter is measured in units of length, such as centimeters, meters, or feet, depending on the system of measurement being used.
The perimeter of the figures is solved as follows
1.
= 12 + 15 + 20 + 11 + 7 + 10 + 6 + 12
= 93 cm
2.
= 8 + 12 + 5 + 5 + 12
= 42 cm
3.
= 15 + 15 + 15
= 45 cm
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A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15(Multiple Choice Worth 2 points)
Answer:Answer: A. tennis=17 , soccer= 12, baseball=27, basketball=44
BAR GRAPH make sure its not a histogram!!
Step-by-step explanation:
just took the test
Graph y=−4/7x+1.
Use the line tool and select two points on the line to graph the line.
To graph the line y=−4/7x+1, we can use the slope-intercept form of a linear equation, y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -4/7 and the y-intercept is 1.
To plot the line, we can select two points on the line and connect them with a straight line. One easy way to do this is to set x=0 and solve for y to find the y-intercept, which is (0,1). Then, we can set y=0 and solve for x to find another point on the line. This gives us (-7/4,0).
Once we have these two points, we can use a straight edge or ruler to draw a line through them to represent the graph of the equation. It should be a downward-sloping line that intercepts the y-axis at (0,1).
Alternatively, we can use a graphing calculator or an online graphing tool to plot the line more accurately. This will allow us to see more clearly the shape and direction of the line, as well as any other important features such as intercepts, slopes, and points of intersection with other lines.
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a band just recorded a new album with 13 tracks. the shortest song on the album is 1 minute and 14 seconds. The longest song is 5 minutes and 54 seconds. What is a reasonable estimate for the total time of the album?
To find a reasonable estimate for the total time of the album, we can add the times of the shortest and longest songs and divide by 2 to find the average time per song, and then multiply by the total number of songs on the album.
What is a reasonable estimate for the total time of the album?The shortest song on the album is 1 minute and 14 seconds, which is equivalent to 74 seconds.
The longest song on the album is 5 minutes and 54 seconds, which is equivalent to 354 seconds.
Therefore, the average time per song is:
(74 + 354) / 2 = 214 seconds
And the total time of the album is approximately:
13 songs x 214 seconds/song = 2,782 seconds
Converting this to minutes and seconds, we get:
2,782 seconds = 46 minutes and 22 seconds
So a reasonable estimate for the total time of the album is about 46 minutes and 22 seconds.
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