Time taken by Miguel car to drive is, 1.6 hour.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.
We know that;
⇒ Speed = Distance / Time
⇒ Time = Distance / Speed
Here, Speed = 53 miles per hour
Distance = 84.8 miles
Hence, We get;
⇒ Time = 84.8 / 53
⇒ Time = 1.6 hour
Thus, Time taken by Miguel car to drive is, 1.6 hour.
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A system of linear equations is given by the graph.
What is the system shown?
O
O
A. y=x
y=-3x - 5
B. y=-x
y =
C. y =
x - 5
x
y=-2 - 5
D. y=-x
y = x - 5
The system of equations is,
y = 2/3(x) and y = (-3/4)x -5.
The correct option is A.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Two lines are intersecting each other.
Line 1 passes through two points (0, 0) and (3, 2).
The equation of the line is,
y = 2/3(x)
And line 2 passes through (0, -5) and (4, -2).
The equation of the line is,
y = (-3/4)x -5.
Therefore, the equations are y = 2/3(x) and y = (-3/4)x -5.
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suppose that an usher randomly assigns the seats to the 7 people. find the probability that the three friends are next to each other.
The probability that the three friends are seated next to each other is 1/420
The total number of ways to seat the 7 people is 7! To find the number of ways to seat the three friends next to each other, we need to consider the number of ways to seat the other 4 people around them. So the number of favorable outcomes is 4!
The probability that the three friends are next to each other is then given by the ratio of the number of favorable outcomes to the total number of outcomes: (4!)/(7!) = 4!/5040 = 1/420.
So the probability that the three friends are seated next to each other is 1/420.
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What is the period of the function?
4
-8
-6
Enter your answer in the box.
-2
2
0
-2
АУ
the
2
4
6
X
The period of the function graphed is 4
What is the period of trigonometric function?The period of a trigonometric function is the length of one complete cycle of the function.
For the common trigonometric functions (sine, cosine, tangent, cotangent, secant, cosecant), the period is 2π for sine and cosine and π for the others.
In the graph the value in the domain for the function to make a complete oscillation is 4 hence the period is 4
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2. The equation and the graph represent two functions. Use the equation y = 4 and the graph to answer the questions.
a) When x = 4, the function y = 4 has the greater numeric value.
b) The two equations have the same value for x = 6.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.From graph, when x = 0, y = 1, hence the intercept b is given as follows:
b = 1.
When x increases by two, y increases by one, hence the slope m is given as follows:
m = 1/2
m = 0.5.
Meaning that the function is given as follows:
y = 0.5x + 1.
When x = 4, the value is given as follows:
y = 0.5(4) + 1
y = 3 < 4.
The two functions will have the same value when:
0.5x + 1 = 4
0.5x = 3
x = 3/0.5
x = 6.
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need help finding x y and z
Answer:
x= 67
y=40
z=40
Step-by-step explanation:
A=C B=D
67=X Y&?= Z&73
73+ x aka(67) = 140
180-140= y = 40
what is the image of -6 -3 after a reflection over the line y =-x
Answer: i believe its -6, 3
(if im wrong pls inform me :3
Kendall has only quarters and dimes in her pocket. The total value of these coins is $1.50. The equation below can be used to find q, the number quarters, and d, the number of dimes in her pocket. If Kendall has 4 quarters in her pocket, how many dimes are in her pocket? 25g + 10d = 150
Answer: We can use the equation to find the number of dimes in Kendall's pocket:
25g + 10d = 150
25 * 4 + 10d = 150
100 + 10d = 150
10d = 50
d = 5
So Kendall has 5 dimes in her pocket.
Step-by-step explanation:
In the triangle below, angle BCA is obtuse.
Calculate angle BCA to 1 d.p
Answer:
56.27⁰
Step-by-step explanation:
a/sinA =b/sinB
35/sin 50⁰ = 38/sin B
cross multiply
35sinB = 38sin50⁰
sin B=29.1096/35
sinB=0.8317 find the inverse sine
angle BCA= 56.27⁰
investigators are interested in comparing the mean hours to recovery after surgery for two different procedures. participants were randomized to receive one of the two procedures and then followed to full recovery. what type of study is this?
The study is a randomized controlled trial (RCT) study.
In an RCT study, participants are randomly assigned to either the treatment group or the control group. The treatment group receives the intervention (in this case, one of the two surgery procedures) being studied, while the control group does not receive the intervention.
The participants are then followed to observe the outcome of interest (in this case, the hours to recovery after surgery).
The goal of an RCT study is to determine if the intervention has an effect on the outcome. By randomly assigning participants to the treatment and control groups, any observed differences in the outcome between the two groups can be attributed to the intervention.
This helps to control for other factors that may influence the outcome and reduces the risk of bias in the results.
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Slope of the line perpendicular to the line
The slope of the perpendicular line is the inverse reciprocal of the line on which the line is perpendicular.
What is a slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, m = y/x can be used to express the change in the y coordinate with regard to the change in the x coordinate.
The slope of two parallel lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other. The relationship between the slope of perpendicular lines can be represented by the formula m1 if the slopes of the two perpendicular lines are m1, m2.
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Example 1) Suppose it is known that the height of all Canadians follows a normal distribution
with a mean of 160 cm and a standard deviation of 7 cm. What is the corresponding z score to the probability that the average height of Canadians is less than 157 cm?
The probability that the average height of Canadians is less than 157 cm is 0.337.
What is z-score?The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score. A value that is one standard deviation from the mean would have a Z-score of 1.0. Z-scores can be either positive or negative, with a positive number signifying a score above the mean and a negative value signifying a score below the mean.
Given that the standard deviation = 7cm and the mean = 160cm.
The z -score is given as:
z = x - mean / SD
z = 157 - 160/ 7
z = -3/7
z = - 0. 428
z = 0.337
P (X < 157) = P (z < -0.428)
P(X < 157) = 0.337
Hence, the probability that the average height of Canadians is less than 157 cm is 0.337.
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A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours Total Number of Students
0 1
1 8
2 2
3 5
4 9
5 7
6 3
Determine the probability that a student studied for exactly 1 hour. Round to the nearest hundredth.
0.03
0.23
0.30
0.77
Based on the data provided, the probability that one student studied for exactly one hour is 0.22.
What is the probability in this case?When it comes to calculating the probability, we need to identify the frequency of a specific outcome (the probability a student studied for one hour) and compare it to the total outcome (total of students) as follows:
Total of students who studied for one hour: 8
Total of students: 1+8+2+5+9+7+3 = 35
Total of students who studied for one hour / total students
8/35 = 0.228 which can be rounded as 0.23 or 23% if expressed as a percentage.
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How many pounds are in 5 kilograms?
StartFraction 6 kilograms Over 13.23 pounds EndFraction = StartFraction 5 kilograms Over question mark pounds EndFraction
11.025 pounds
15.435 pounds
15.876 pounds
24.255 pounds
Answer:
A. 11.025
Step-by-step explanation:
1 Kilogram equals exactly 2.20462 pounds.
2.20462 multiplied by 5 is 11.025
what are some advantages of online surveys? multiple select question. they are generally readily available to survey responders. the data can be downloaded automatically into a spreadsheet. they deliver more accurate results than other types of surveys. the surveys can reach a very large number of respondents.
A, B, and D are some advantages of online surveys.
The advantages of online surveys are:
They are generally readily available to survey responders, as respondents can access the survey from anywhere with an internet connection.The surveys can reach a very large number of respondents, which can lead to a more representative sample.The data can be downloaded automatically into a spreadsheet, which makes it easier to analyze and process the data.They deliver more accurate results than other types of surveys, as online surveys can enforce skip patterns and provide immediate feedback to respondents.Online surveys are often less expensive than traditional surveys, as they do not require printing, postage, or interviewer time.To learn more about the online surveys, refer:-
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a 16 ounce box of cereal costs $4.00, and a 20 ounce box of cereal costs $4.50. which size box has a lower price per ounce?
0.25 is greater than 0.225, the 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal.
The 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal. To calculate the price per ounce of each box of cereal, we can divide the total cost of the box by the total number of ounces in that box. For the 16 ounce box of cereal, the equation would be 4.00/16 = 0.25 per ounce. For the 20 ounce box of cereal, the equation would be 4.50/20 = 0.225 per ounce. Because 0.25 is greater than 0.225, the 16 ounce box of cereal has a lower price per ounce than the 20 ounce box of cereal.
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What is the measure of angle
XNM?
O 40
O 80
O 90
O 160
Check the picture below.
Which of the following is closest to the lateral surface area of a cylinder whose diameter is 18 cm and whose height is 28 cm
The lateral surface area of the cylinder is given by the equation
S = 1,583.36 cm²
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the surface area of the cylinder be represented as S
Now , the diameter of the cylinder d = 18 cm
So , the radius of the cylinder r = 18/2 = 9 cm
The height of the cylinder h = 28 cm
And , the lateral surface area of cylinder = 2πrh
Substituting the values in the equation , we get
The lateral surface area of cylinder = 2 ( 3.14 ) ( 9 ) ( 28 )
On simplifying the equation , we get
The lateral surface area of cylinder = 504π cm²
The lateral surface area of cylinder = 1,583.36 cm²
Hence , the lateral surface area is 1,583.36 cm²
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16 days 5 hours 23 minutes. how many minutes and hours come out in total?
Answer:
389 hours and 23 minutes
Step-by-step explanation:
16x24=384
384+=5=389
and 23 minutes
Can you please help me
m is usually slope
lets analyze this problem
its a linear line, meaning a straight line
i see that y, the output, increases by 4 every time x goes up 2
slope, or m, is equal to the rise/run
rise is 4, run is 2
4/2 = 2
m = 2
this means that for every x, y goes up 2
or, for every 2 x, y goes up 4
hope this helps :)
Number 8 please will give brainlist and tons of points
The value of x rounded to the nearest tenth is 10.2 units, this is found using trigonometric functions.
What are trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
The triangle is a right-angles triangle and the given angle is 22 degrees.
Taking the cosine function, we have:
cos A = adjacent side/ hypotenuse
cos (22) = x / 11
0.927 = x/11
x = 10.2
Hence, the value of x rounded to the nearest tenth is 10.2 units, this is found using trigonometric functions.
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a plane was flying to springfield. with a tailwind, the plane averaged 163 miles per hour. on the return trip, the plane averaged 127 miles per hour flying back in the same wind. what is the speed of the wind? what is the speed of the plane with no wind?
The wind speed and plane speed is 11 and 96 mph.
It is required to find the speed of the plane in still air and the speed of the wind.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let plane speed be "p".
Let wind speed be "w".
According to given question we have,
p + w = 107 mph
p - w = 85 mph
By the method of elimination we get,
2p = 192
p = 96 mph
The plane speed is 96 mph.
Solve for "w":
p + w = 107
96 + w = 107
w = 11 mph
The wind speed is 11 mph.
Therefore, the wind speed and plane speed is 11 and 96 mph.
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a company that manufactures video cameras produces a basic model and a deluxe model. over the past year, 32% of the cameras sold have been of the basic model. of those buying the basic model, 40% purchase an extended warranty, whereas 49% of all deluxe purchasers do so. if you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model?
The probability that a randomly selected purchaser with an extended warranty has a basic model camera is approximately 0.0354
Denote S= Event that a purchase bought a basic camera, then P(S)=0.32
Denote D= Event that a purchase bought a deluxe camera, then
S and D are mutually exclusive.
P(D)=1-P(S)=0.68
P(W/S)=0.4
P(W/D)=4.9
We need to calculate the probability that a randomly selected purchaser who bought an extended warranty has a basic model. By notations, this is equivalent to finding P(S/W).
P(S/W)=P(W/S)*P(S)/P(W)
Since S and D are disjoint and P(S)+P(D)=1,
P(W)=P(W∩S)+P(W∩D)
P(W)=[0.4*0.32]+[4.9*0.68]
=3.61
Hence, our required probability is: P(S/W)=P(W/S)*P(S)/P(W)
[tex]=\frac{0.4*0.32}{3.61}\\=0.0354[/tex]
Hence, the probability that a randomly selected purchaser with an extended warranty has a basic model camera is approximately 0.0354
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Beth is making fruit salad. She adds 5 grapes for every 2 strawberries. If she uses 14 strawberries, how many grapes will she use?
The number of grapes for 14 strawberries is 10
How to determine the number of grapesFrom the question, we have the following parameters that can be used in our computation:
She adds 5 grapes for every 2 strawberries.
So, we have the ratio to be
Grapes : Strawberries = 5 : 2
Multiply the ratio by 7
So, we have the following representation
Grapes : Strawberries = 10 : 14
This means that 10 grapes are required for 14 strawberries
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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 16
Blue 17
Green 5
Yellow 15
Purple 14
If the spinner is spun 200 more times, about how many times would you expect to land on blue? Round your answer to the nearest whole number.
The probability of having a blue in the spin is given as; 17/200.
How to calculate probability?Probability can be calculated as the ratio of the number of favorable outcomes to the number of possible outcomes in a given scenario. It is usually expressed as a decimal or a fraction between 0 and 1.
We know that in this case we are going to look at the table to see the number of times that we land a blue.
If the total number of the outcomes is 200 and the number of the expected outcomes is 17. We would have the probability as P(blue) = 17/200.
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Given the following table of values, what is the slope and y-intercept?
Answer:
Y- intercept= (0, -1)
Slope = 2/3
Step-by-step explanation:
Finding the Y-Intercept is pretty much finding the Y value when X is 0
Looking at this table, when x = 0, y is -1. Which means your y intercept is (0, -1)
To find slope, you take two points (x,y) and apply it to the slope formula. We'll do the bottom 4 since those are all nice looking numbers
[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]
plugging it in...
[tex]slope = \frac{3 - 1}{6 - 3} [/tex]
3-1 = 2 and 6-3 = 3
Keep that in fraction form
[tex]slope = \frac{2}{3} [/tex]
Page 1:
a. If two points on a line are A(-5, 7) and B(-2, 1), the rise is
so the slope of the line is
b. If two points on a line are A(10, -3) and B(12, 9), the rise is
run is
the run is
so the slope of the line is
c. If two points on a line are A(4, 6) and B(8,-8), the rise is
run is
Page 2:
so the slope of the line is
a. In the point-slope form of a line.
mix
the clon
and the
, and
and the
a) If two points on a line are A(-5,7) and B(-2,1), the rise -6, the run is of 3, and then the slope is of -2.
b) If two points on a line are A(10,-3) and B(12,9), the rise 12, the run is of 2, and then the slope is of 6.
c) If two points on a line are A(4,6) and B(8,-8), the rise -14, the run is of 4, and then the slope is of -3.5.
How to calculate the slope a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.As the slope represents the rate of change of the output relative to the input, it is calculated as the change in the output y divided by the change in the input x, that is, the rise divided by the run.
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A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
Determine the experimental probability of drawing a spade.
0.15
0.25
0.35
0.50
The experimental probability of picking a spade is 0.15 (first option)
What is the experimental probability?Probability is used to determine how likely it is that a random event would happen. The odds that the event would happen has a probability value that lies between 0 and 1.
Experimental probability is based on the result of an experiment that has been carried out multiples times.
Experimental probability of picking a spade = number of times a spade was drawn / number of times the experiment was repeated
3/20 = 0.15
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A troop leader recorded whether the members of two troops prefer hiking or swimming. The troop leader plans to create a two-way table to display the results.
Which variables can the troop leader use as the row and column headings of the table?
The troop leader can use the two categories of preference (hiking or swimming) as the row and column headings of the table.
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
The troop leader can utilize the two preference categories (hiking or swimming) as the table's row and column headings.
The number of members who prefer each activity can be recorded in the cells of the table to show the distribution of preferences within each troop and the comparison between the two troops.
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X^2-14x=-49
Method 1:Factoring
I’m confused how on earth to do this? If someone could explain I would love that
Step-by-step explanation:
Move terms to the left side[tex]x {}^{2} - 14x = - 49[/tex]
[tex]x {}^{2} - 14x - ( - 49) = 0[/tex]
Use sum-product patternIdentify a, b and c in your equation and then find two numbers that when multiplied equal c, and when added equal b.
[tex]x {}^{2} - 14x + 49 = 0[/tex]
factorWrite your equation in factored form.
[tex](x - 7) {}^{2} = 0[/tex]
Set the factor(s) equal to zeroHere the two factors are the same, so there will be only one solution.
[tex]x - 7 = 0[/tex]
SolveRearrange and isolate the variable to find each solution.
[tex]x = 7[/tex]
what's something that I need to remember when classifying quadrilaterals
Answer:A quadrilateral is a polygon having four sides, four angles, and four vertices. The word 'quadrilateral' is derived from the Latin words 'quadri,' which means four, and 'latus', which means side. The above image is an example of a quadrilateral. AB, BC, CD, and DA are the four sides of the quadrilateral ABCD.
hope this helps alot<3