Answer:
Step-by-step explanation:
Take average speed to be (40+50)/ 2 = 45 mph.
Then estimate of distance travelled
= 45 * 3.5
= 160 miles.
which of the following statements is not correct? fewer students in the sample listed volleyball as their favorite sport than football. more students in the sample listed lacrosse as their favorite sport than basketball. more students in the sample listed basketball as their favorite sport than volleyball. the highest percentage of teenagers in the sample listed soccer as their favorite sport.
The highest percentage of teenagers in the sample listed soccer as their favorite sport. this option is correct .
What does a statistical pie chart mean?
A pie chart, often known as a circle chart, is a visual representation of the various values of a specific variable or a means to summarize a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments. A certain category is represented by each segment.Pie charts are circular charts with segments that each indicate a value and are used in data handling. Pie charts have portions (or "slices") that depict varying sizes of values. For instance, an entire class is represented by the circle in this pie chart.In this question pie chart is showing data of games .
So. by observing the chart we can say that ,
the highest percentage of teenagers in the sample listed soccer as their favorite sport.
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What percentage of those who were married were obese?
a. 25.6%(331/1293)
b. 44.4% (147/331)
c. 32.8%(424/1293)
d. 34.7% (147/424)
The percentage of those who were married were also obese is: 34.7% (147/424; Option B)
What are percentages?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. A % is a number without dimensions and without a standard measurement.Now,
The percentage of number of married participants who were obese is calculated by: dividing the former (147) by the total number of married participants(424)
=> Percentage of married participants who were obese = 147/424.
Hence, The percentage of those who were married were also obese is: 34.7% (147/424; Option B)
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(COMPLETE QUESTION:
A 2009 study analyzed data from the National Longitudinal Study of Adolescent Health. Participants were followed into adulthood. Each study participant was categorized as to whether they were obese (BMI >30) or not and whether they were dating, cohabiting, or married. The table below summarizes the results.
Dating Cohabiting Married Total
Obese 81 103 147 331
Not Obese 359 326 277 962
Total 440 429 424 1293
What percentage of those who were married were obese? (Round your answer to 1 decimal place.)
A. 32.8% (424/1293)
B. 34.7% (147/424)
C. 25.6% (331/1293)
D. 44.4% (147/331))
a store normally sells windows at $100 each. This week the store is offering one free window for each purchase of 4. Dave needs 7 windows and Doug needs 8. How much money will they save if they purchase together rather than separately?
They will save $100 if they purchase together rather than separately.
If this week, the store is offering one free window for each purchase of 4, then the price of 5 windows will be just equal to the price of 4.
1 window = $100
5 windows = 4 x $100 = $400
If
Dave needs 7 windows
Doug needs 8 windows
total they need together = 7+8 = 15 windows.
Buying at the offer of $400/5 windows,
they should buy 3 sets of 5 windows.
3 x 5 = 15
cost when bought together : 3 x $400
cost when bought together : $1200
If they bought separately,
Dave : 7 = 5 + 2
cost = $400 + 2($100)
cost = $600
Doug : 8 = 5 + 3
cost = $400 + 3($100)
cost = $700
cost when bought separately : $600 + $700
cost when bought separately : $1300
compare the two total costs and to determine how much they will save.
$1300 - $1200 = $100
They will save $100 if they purchase together rather than separately.
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A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. the path of the projectile is modeled using the equation h(t) = â€""16t2 48t 190.approximately when will the projectile hit the ground?1.5 seconds3.2 seconds5.3 seconds6.2 seconds
The time for the projectile to hit the ground from the given position is 1.5 s, which is obtained using the concept of time period and velocity of a projectile.
What is a projectile?
A projectile is defined as an object that has the force of gravity as the only force occurring on it. Acceleration in the projectile motion always acts vertically.
Calculation of the time taken by projectile to hit the ground
The given parameters:
The starting velocity of the projectile, u = 48 ft / s
Height of the projectile, h = 190 ft
Model of the projectile path, h(t) = - 16(t)2 + 48t + 190 —-- 1
When the projectile hits the ground, the final velocity, v = 0
differentiating equation 1 w.r.t t, we get,
(dh(t)) / (dt) = - 32t + 48
Putting dh(t) / dt = 0, we have,
- 32t + 48 = 0
32t = 48
t = 48 / 32
t = 1.5 s
Hence, the time taken by the projectile to hit the ground is 1.5 s.
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CHECK MY ANSWERS
1. How would you write the name of a segment differently than the name of a line. What symbols would you use?
Answer: A line and a line segment may sound quite similar however they are very different. A line, in short, is a line that never ends so it's infinite. It's the same for a line segment except at its end it is indicated by dots rather than arrows
2. How is constructing a perpendicular bisector similar to constructing an angle bisector? How is it different
Answer: A perpendicular bisector and an angle bisector are similar because they both require the need to find where two arcs meet. They are different because angle bisectors split into congruent angles meanwhile a perpendicular bisector splits into congruent segments.
3. Describe a process you would use to create the perpendicular bisector to a segment AB using only an unmarked straightedge and an unmarked compass.
Answer: The first step I will do will be to open the compass and stretch it to a width that will be greater than the length of AB. Then I would place one point of the compass onto the line's segments A, then I would move the compass and draw the arcs above and below the AB line. Next step I would do would be to remove the compass from point A and place it onto point B, then repeat the second step (drawing arcs above and below the line). Then lastly, I will use my straightedge and draw a line that will go vertically through where they connect.
1. A line segment can be written with just naming it by its end points and a bar above it while the name of a line requires an double-headed arrow mark above its name.
2. For constructing both a perpendicular and an angle bisector, we need to construct two arcs using a compass and their intersection point. A perpendicular bisector divided a line segment into two equal parts whereas an angle bisector divides an angle into two equal parts.
3. A perpendicular bisector can be drawn by drawing two arcs each above and below the line segment and joining using an straight edge.
1. A line and a line segment may sound quite similar however they are very different. A line, in short, is a line that never ends so it's infinite. It's the same for a line segment except at its end it is indicated by dots rather than arrows.
This difference can be seen in naming them too. A line segment is named using the initial and terminal points of the segment. Sometimes we put a 'bar' mark above its name. For example, [tex]\bar{AB}[/tex]
For a line of infinite length, it is named simply as 'line A' or 'line B' or sometimes put a double-headed arrow mark above its name.
2. A perpendicular bisector and an angle bisector are similar because they both require the need to find where two arcs meet. They are different because angle bisectors split into congruent angles meanwhile a perpendicular bisector splits into congruent segments.
Constructing a perpendicular bisector is similar in the sense that both are drawn using straight edge and compass and need to find the intersection point of the arcs. But they are different in their use as perpendicular bisector equally divides a line segment and an angle bisector equally divides an angle.
3. We have an unmarked straightedge and a compass. First put the compass at one end point A of the line. Then stretch the compass to a length more than half of the line segment AB to be bisected. In the next step, draw an arc above and one below the line. Next put the compass on the other end B of the line. Then repeat drawing two arcs, each above and below the line and also intersecting with the previous arcs. Finally join the two points got with a line cutting the line segment AB. This will be the perpendicular bisector of the line AB.
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question 15(multiple choice worth 1 points) (03.02 lc) abcd is a rectangle. what is the value of x? rectangle with length 56 m, width x m, and diagonal 65 m 9 meters 28 meters 33 meters 65 meters
The width of the rectangle is: 33m, by Pythagoras theorem.
What is Pythagoras Theorem?The Pythagorean Theorem describes a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.Now,
given:
Length of rectangle = 56m (say, l)Diagonal = 65m (say, d)TO find: Width of rectangle = ? (say, w)
Finding:
BY Pythagoras theorem, in the rectangle ABCD,
For l = AB, w = BC and d = AC,
=> l² + w² = d²
Ob substituting the values, we get: 56² + w² = 65²
=> w² = 65² - 56²
=> w² = 4225 - 3136
=> w² = 1089
=> w = 33m
Hence, for the given values of rectangle, the width of the rectangle is 33m by Pythagoras Theorem.
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Tanisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $5.50 and a drink for $4. How much would it cost if they bought 4 bags
of popcorn and 6 drinks? How much would it cost if they bought p bags of popcorn
and d drinks?
Can someone help me with these? ASAP please
a. Length of AB = 7 units
Length of CDS = 3 units
Line segment AB and line segment CD are not congruent.
b. Length of AB = 7 units
Length of CD = 7 units
Line segment AB and line segment CD are congruent.
c. Length of AB = 9 units
Length of CD = 7 units
Line segment AB and line segment CD are not congruent.
How to Find the Length of a Segment?Given two points on a coordinate plane, where the two points are on a horizontal or vertical line, the distance between the two points is the absolute difference between their coordinates.
a. Given:
A(10, -4)
B(3, -4)
C(-1, 2)
D(-1, 5)
Length of AB = |10 - 3| = |7|
Length of AB = 7 units
Length of CD = |5 - 2| = |3|
Length of CDS = 3 units
Line segment AB and line segment CD are not congruent.
b. Given:
A(-5, 6)
B(-5, -1)
C(-4, 3)
D(3, 3)
Length of AB = |6 - (-1)| = |7|
Length of AB = 7 units
Length of CD = |-4 - 3| = |-7|
Length of CD = 7 units
Line segment AB and line segment CD are congruent.
c. Given:
A(8, 3)
B(-1, 3)
C(5, 10)
D(5, 3)
Length of AB = |8 - (-1)| = |9|
Length of AB = 9 units
Length of CD = |10 - 3| = |7|
Length of CD = 7 units
Line segment AB and line segment CD are not congruent.
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I need some help with my math please: Triangles ABD and ACE are similar right triangles. Which ratio best explains why the slope of AB is the same as the slope of AC?
Answer:
The second answer is the correct one I believe
Answer:
second one
Step-by-step explanation:
how to solve? …………….
Solution:
[tex]3(2x+3)[/tex]
Hope this helps!
Example 8
A school received a shipment of laptops and tablets purchased for $35,100 for their new
computer lab. Each tablet cost $375 and each laptop cost $850. If the school ordered 3 times as
many laptops as tablets, then which of the following is the number of laptops in the shipment?
The shipment contained 12 tablets and 36 laptops.
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the number of tablets and y represent the laptop.
Each tablet cost $375 and each laptop cost $850, hence:
375x + 850y = 35100 (1)
Also:
y = 3x (2)
From both equations:
x = 12, y = 36
The shipment contained 12 tablets and 36 laptops.
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What is the value of x? enter your answer in the box. x = two lines slightly inclined with vertical intersect at the midpoint. the left and right angles made by these lines are obtuse. the right obtuse angle is labeled left square bracket 5 left parenthesis x minus 4 right parenthesis right square bracket degrees. the left obtuse angle is labeled left parenthesis 4 x plus 7 right parenthesis degrees.
The value of 'x' in the given question is 27°.
Obtuse Angle may be defined as an angle that is greater than 90° and less than 180°. It may be also defined as an angle between a right angle and a straight-line angle.
From the question we can conclude that the given angles are vertically opposite to each other, and vertically opposite angles are always equal to each other.
Vertically opposite angles are formed when two lines are intersecting each other and the angles formed on each side of the intersection point are called vertically opposite angles.
Now according to the question:
[5(x-4)]°=(4x+7)°
Rearranging the terms:
(5x-20)°=(4x+7)°
=>x=27°
Therefore, the value of x is 27°.
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multiply or divide write your answer in simplest form 3/6 x 7/10
Answer:
0.35
Step-by-step explanation:
3/6=1/2
7/10=0.7
1/2=0.5,0.5×0.7
=0.35
Answer: 7/20
Step-by-step explanation:
3/6*7/10= 0.35
First write down the decimal number divided by 1 like this:
0.35
1
As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 102 = 100, so that there is no decimal point in the numerator
0.35 × 100
1 × 100
=
35
100
Since the greatest common factor of 35 and 100 is 5, we can simplify the fraction and show the same amount
35 ÷ 5
100 ÷ 5
=
7
20
Therefore, 0.35 as a fraction is 7/20
9. Bus A arrives every 12 minutes and Bus B arrives every 15 minutes. Both buses arrive
together at 9am, what time do they next arrive together
============================================================
Explanation:
12 = 3*4
15 = 3*5
The GCF of 12 and 15 is 3
LCM of x and y = (x*y)/(GCF of x and y)
LCM of 12 and 15 = (12*15)/(GCF of 12 and 15)
LCM of 12 and 15 = (12*15)/(3)
LCM of 12 and 15 = 60
-------------------
We can confirm this by listing out the multiples of each
multiples of 12 are: 12, 24, 36, 48, 60, 72, ...
multiples of 15 are: 15, 30, 45, 60, 75, ...
-------------------
Since the LCM is 60, this means their schedules line up every 60 minutes, aka 1 hour.
If they arrive together at 9 AM, then their next arrival time together is 10 AM which is the final answer.
If point P (-1, 4) is translated to the right 4 units and up 2 units, what are the new coordinates.
Answer:
The correct answer should be P(1, 7)
HELP !!!
Point (2,6) is 2/3 of the way from A to B. If A has coordinates (-8, 6), what are the coordinates of B?
The coordinates of the point B are (-5, 6)
How to determine the coordinates of the point B?The given parameters are
A = (-8, 6)
Point = (2, 6)
Proportion = 2/3
Because the y coordinates are the same, we can make use of only the x coordinate
So, we have
Point = Proportion * (B - A)
This gives
2 = 2/3 * (B + 8)
Multiply through by 3/2
So, we have
3 = B + 8
Subtract 8 from both sides
B = -5
Hence, the coordinates of the point B are (-5, 6)
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the sum of 17 and 3 times x *
The sum of 17 and 3 times x is given by the algebraic expression "17+3x" .
A mathematical construct called an algebraic expression is made up of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).
Let us take an expression 4x³+6xy+9 is an algebraic expression. Where
x,y are variables 4 and 6 are co-efficients and 9 is the constant .
In the above statement it is given that the sum of 17 and times x. Here x is a variable.
3 times x equates to 3x and when 17 is added we get the expression 17+3x.
Hence the required algebraic expression is 17+3x
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Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
X(-11,0), Y(-11,-8), Z(-1,-4)
The triangle with vertices located at X(-11 , 0), Y(-11 , -8), and Z(-1 , -4) has its centroid located at (-23/3 , -4).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = X(-11 , 0)
Point 2(x2 , y2) = Y(-11 , -8)
Point 3(x3 , y3) = Z(-1 , -4)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(-11 + -11 + -1)/3 , (0 + -8 + -4)/3]
C(x ,y) = (-23/3 , -12/3)
C(x ,y) = (-23/3 , -4)
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Find the coordinates of the missing endpoint if b is the midpoint of AC. A(-4,2),B(6,-1)
Answer:
Step-by-step explanation:
Answer:(3,2)
Step-by-step explanation:
Maggie has a container in the shape of a right prism. the formula for its surface area is sa = ph 2b. solve for h. h = sa minus two times b over p h = sa plus two times b over p h = sa plus p over two times b h = sa minus p over two times b
The value of the height of the right prism is given by the formula, h = (SA - 2B) / P. It is gained by using the surface area of the right prism.
What is the right prism?
A right prism is a three-dimensional closed figure with 6 faces, 8 corners and 12 edges. It is called a right prism because, in this prism, the angle between the base and the sides is 90 degrees. All the faces of a right prism are rectangular, hence sometimes also called a right rectangular prism.
Calculation of h for the right prism
We know the surface area of the right prism is given by:
SA = Ph + 2B
Ph + 2B = SA
Subtracting 2B from both sides of the above equation, we have,
Ph + 2B - 2B = SA - 2B
Ph = SA - 2B
Dividing both sides of an equation by P, we get,
(Ph) / P = (SA - 2B) / P
h = (SA - 2B) / P
Hence, the value of h can be found using the formula, h = (SA - 2B) / P
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Liam is 3 years older than his little sister Carin. Together they're 31 years old. How old is Liam? Solve the problem with an equation
Answer: Liam is 17
Step-by-step explanation: 17-14= 3. 17 + 14 = 31
the data to the right represent the top speed (in kilometers per hour) of all the players (except goaltenders) in a certain soccer league. find (a) the number of classes, (b) the class limits for the second class, and (c) the class width.
estimate the square root of 60 to one decimal place
Algebra 1
1.1 Evaluating Expressions
Evaluate each using the values given.
1) z−5+ x; use x = 1, and z = -3
Evaluating Expressions-
z−5+ x= -7
x = 1, and z = -3
z−5+ x=-3 + (-5) + 1
= -3-5+1=-7
to assess an algebraic expression way to find the price of the expression while the variable is changed by using a given range.
to evaluating expression, we replacement the given range for the variable within the expression and then simplify the expression the use of the order of operations
What does “Evaluating Expressions” suggest?
Simplification of expressions can be performed with the help of operations’ order. It consists of changing the variable to discover the expression’s fee. The given number is substituted to evaluate expressions. After this, one needs to simplify it primarily based at the order of the operations
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Write an equation for a cubic function that has been reflected across the x-axis, shifted
right 3 units and shifted up 1 unit.
y = x³
Can you pls help me tink u <3
8 as a product of three primes
Answer: 2x2x2 or 2 cubed
Step-by-step explanation: 2x2=4 2x4=8
URGENT!! ILL GIVE BRAINLIEST! 100 POINTS
Maria wanted to bring back 5 million grams of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?
Answer:
3.35kg
Step-by-step explanation:
Answer:
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
Step-by-step explanation:
Round 3,487,967 to the nearest ten thousands
Answer:
3,490,000
Step-by-step explanation:
3,487,967 = (87967) The 7 rounds up so the 8 would become 9.
Some sales positions pay a commission only if sales exceed a sales
quota. The salesperson is rewarded only for having sales beyond an
expected amount. Joyce Doyle is a sales trainee. She is paid $1,550 per
month plus a commission of 7.5% on all sales of more than a $20,000
monthly quota. What is Joyce's total pay for a month in which her sales
totaled $22,650?
The sales on which Joyce earns commission is the sale beyond $20,000 which is $2,650. So the total pay for a month for Joyce in which her sales is $22,650 is $1748.75.
Joyce is paid $1,550 per month plus a commission of 7.5% on all sales of more than a $20,000 monthly quota. For the given month her sales is $22,650.
Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’. The abbreviations used to represent the percentage are ‘pct’ or ‘pc’. In other words, the percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.
Total pay of Joyce = Her pay per month + Commission that she gets
Commission she gets is on the sales beyond $20,000.
Here, commission is on $22,650 - $20,000 = $2,650
She gets 7.5% commission. So, her commission is 7.5% * $2,650
=> 75/1000 * $2,650 = $198.75
So, the total pay of Joyce is $1,550 + $198.75
=> $1748.75 for the month.
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