Answers
Answer:
Last option:
x ≤ 217
Step-by-step explanation:
Mean time = Total Time/Number of observations
Mean time = (192 + 206 + 194 + 191 + x)/5 = (783 + x)/5
We want this mean time to be no greater than 200 seconds.
In other words we want mean time ≤ 200 s
We therefore get the inequality:
(783 + x)/5 ≤ 200
Multiplying both sides by 5
=> (783 + x) · 5 ≤ 200 · 5
=> 783 + x ≤ 1000
=> x ≤ 1000 - 783
=> x ≤ 217
Related Questions
Write an algebraic expression to represent the following situation: "Adele bought a skirt and a blouse. The skirt cost $15 more than the blouse. Let B represent the cost of the blouse. Write an expression for the cost of the skirt."
Answers
S=B+15
15 more than blouse (b)
S representing skirts
Graph the line through (2,0) with
m = -2.
Answers
Answer:
showed below
Explanation:
you can start by plotting a dot at (2,0), since the line must go through that point. Since m, the slope, is -2, you can re-write this into a fraction to make it easier, looking like this: -2/1. Slope in general can be written as “rise over run” or “rise/run”, so the numerator is how far you go up on the graph, while the denominator is how far you go over. In this case, the slope is negative, so instead of up and right, the line goes down and right. From (2,0) you would go down by 2, and right by one. At that point you polar another dot. That point is (3,-2). From there, you can take a straight edge and line it up with the two dots and draw your line. It looks like what is in the picture.
Find the value of xx and yy in the parallelogram below.
Answers
Answer:
x = 12
y = 11
Step-by-step explanation:
It's a parallelogram, so opposite sides are equal.
4x + 10 = 58
4x = 58 - 10 = 48
x = 48/4 = 12
10y - 6 = 104
10y = 104 + 6 = 110
y = 110/10 = 11
3X2+3Y^2-7X-6Y-3
Find the diameter
Answers
The diameter of the circle is 22 / 12 units
What is the diameterTo find the diameter of the figure, we need to rewrite this in standard form of a equation of a circle.
3x² + 3y² - 7x - 6y - 3 ;
This will be written in (h, k) form which is
3x² + 3y² - 7x - 6y - 3
The coordinate of the center is at (7/6, 1)
The radius of the circle is 11/6 and we can find the diameter of the circle by;
diameter of circle = 2 * radius of circle
diameter = 2 * 11 / 6
diameter = 22 / 12
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Given h(x) = -x+5, solve for x when h(x) =0
Answers
The value of h(x) = 0 gives x=5.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the b. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
h(x) = -x + 5
So, for h(x)= 0 we have
-x + 5= 0
now, solving for x
-x = -5
x= 5
Thus, the value of x is 5.
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Pls help, my head is spinning in circles
Answers
The situation that can be modeled by a linear function is:
An amusement park allows 50 people every 30 minutes
Option 3 is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A linear function is a function in the form of f(x) = mx + c.
Now,
1)
The population of bacteria triples every day.
This can be written as a function,
f(x) = M x [tex]3^x[/tex]
Where M is the initial number of bacteria and x is the number of days.
This is an exponential function.
2)
The value of cell phones depreciates at a rate of 3.5% each year.
This can be written as a function,
f(x) = M x [tex]96.5^x[/tex]
Where M is the initial value and x is the number of years.
This is an exponential function.
3)
An amusement park allows 50 people every 30 minutes.
This can be written as a function,
f(x) = 50x
Where x is the number of times of 30 minutes.
This is a linear function.
4)
A baseball tournament eliminates half of its teams after each round.
This can be written as a function,
f(x) = M x [tex](1/2)^x[/tex]
Where x is the number of rounds.
This is an exponential function.
Thus,
An amusement park allows 50 people every 30 minutes can be modeled by a linear function.
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What is the volume of the solid figure?
Enter your answer in the box.
Answers
The volume of the composite shape is
What is volume of composite shape?Volume is a measure of three-dimensional space.
A composite shape can be defines as a shape created with two or more basic shapes. We often refer to composite shapes as compound and complex shapes as well.
The shape above shows two cuboid joined together.
volume of the base cuboid = lbh
= 6×3×1 = 18ft³
Volume of the second cuboid = lbh
= 4×3×8 = 96 ft³
volume of the composite shape = 18ft³ + 96ft³
= 114 ft³
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There are 25 flowers in all in the garden. Daisies make up 60% of the flowers in the garden. How many flowers in the garden are daisies?
Answers
Answer:
The number of daisies in the garden is 25 x 60% = 15 flowers.
Step-by-step explanation:
The solution for the number of daisies in the garden is found by multiplying the total number of flowers by the proportion that are daisies.
25 flowers * 60% daisies = 15 daisies
So, there are 15 daisies in the garden.
Function f is represented by this table of values.
If f(x) is vertically stretched by a factor of 2 to obtain g(x), which table of values represents function g?
Answers
According to the table, the values of g(x) are 2 units lower than the corresponding values of f(x).
Translation of functions
When a function is transferred without undergoing any form or rotation changes, it has been "translated." A function may be translated both horizontally and vertically.
According to the question;
The table that illustrates function g(x) is; when the function f(x) is shifted vertically down by 2 units to obtain function g
x = 0, 1, 2, 3
g(x) = -2, 0, 6, 24
By shifting the function f vertically down by 2 units, the function g(x) is produced.
Note that the relationship between the functions g and f is as follows:
g(x) = f(x) -2
Therefore, as seen in the above table, the values of g(x) are 2 units fewer than the corresponding values of f(x).
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Figure B is what type of transformation of figure A?
Answers
Answer:
Rotation
Step-by-step explanation:
Answer: Rotation
Step-by-step explanation:
rotation by 180 degrees is (x,y) => (-x,-y)
Looking at some of the points on A like (-1,-1) we can see B has a point on (1,1) and (-6,-2) B has a point on (6,2) and so on
(PLS PLS HELP!!!!!!)
Note that WXYZ has vertices W(-1, -6), X (2, -8), Y (6, -1), and Z (3, 1).
Complete the following to determine if WXYZ is a parallelogram.
Answers
Answer:
Step-by-step explanation:
WX length = Square root 13 Slope of WX=-2/3 or -2 divided by 3 YZ length= Square root 13 Slope for YZ= 2 divided by -3 or 2/-3 Part C should be A since parallel means that they have the same slope and they are congruent side lengths so, hopefully im right? Theorem 7.12 proves it
Work out the percentage change to 2 decimal places when a price of £15 is decreased to £14.
give woking out :))
Answers
The percent change in the price is -6.67
How to find the precentage change?The percentage change will be given by the formula:
Percent change = 100%*(new price - old price)/old price
We know that:
old price = 15 pounds.
new price = 14 pounds
Replacing that we will get:
percent change = 100%*(14 - 15)/15 = -6.67%
The price is 6.67% smaller.
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Consider the two triangles.
Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.
How can the triangles be proven similar by the SSS similarity theorem?
Group of answer choices
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.
Answers
Since the corresponding sides are not proportional, we can say that the triangles are not similar
What are similar triangles?In similar triangles, corresponding sides are always in the same ratio.
Given are two triangles ΔWUV and ΔXZY.
It is given that -
VW = 60 ZY = 48 YX = 40 VU = 50 UW = 40 XZ = 32
For the triangles to be similar, the corresponding sides will be proportional.
WU/XZ = UV/ZY = WV/XY
40/32 = 50/48 = 60/40
1.25 ≠ 1.044 ≠ 1.5
The corresponding sides are not proportional.
Therefore, since the corresponding sides are not proportional, we can say that the triangles are not similar.
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Help please!!
What is the area and perimeter of the composite shape? Divide the composite into 3 shapes.
Show all work for BRAINLIEST
Answers
Answer:
56in.²
Step-by-step explanation:
the given figure can be divided into three parts .
( see attachment)
Finding area of I
Area = 7*4
Area = 28 in.²
Area of II
Area = 5 * (7-3) = 5*4
Area = 20 in.²
Area of III
area = 1/2 * 4*4
area = 8in.²
Total area [ 28 + 20 +8] in.² = 56in.²
1. Andrew lives in Johannesburg. His parents are planning a vacation to Cape Town They decide to fly to Cape Town and then rent a car. The car rental company charge R200 per day (including 200 km free) and R1,80 per km. The insurance be 7,5% of the daily rental amount and the GPS an additional R45 per day a.What will the total cost be for the car rental if they spent 6 days in Cape Town travelled 1650 km in total?
Answers
The daily rental cost is R200, so for 6 days, the rental cost will be 200 * 6 = R1200.
The insurance cost is 7.5% of the daily rental cost, so the insurance cost will be 0.075 * 200 = R15 per day. For 6 days, the insurance cost will be 15 * 6 = R90.
The GPS cost is R45 per day, so for 6 days, the GPS cost will be 45 * 6 = R270.
The additional cost for km driven is 1.8 * 1650 = R2970.
Adding up all the costs, the total cost will be R1200 + R90 + R270 + R2970 = C = R4530
The sum of two numbers is shown.
5.25 ÷ (-1.35)
Which situation can be represented by this sum?
O a Atruck driver has traveled S. 25 miles. He has to travel another 1. 35 miles to get to his destination. The sum represents the total
number of miles he will travel.
• B. A basket of potatoes weighed 5. 25 pounds. A worker put an addicional 1. 35 pounds of potatoes into the basket. The sum
represents the final weight of the basket.
O c Before heating a solution, a scientist measured its temperature to be 5. 25 *F. The scientist stopped heating the solution after 1. 35
hours. The sum represents the final temperature of the solution.
• o. A the begining of a day the value of a certain stock was S5, 25. By the end of the day the stocks value had decreased by 51. 35.
The sum represents the stock's value, in dollars, at the end of the day.
Answers
Answer:
The situation that can be represented by the sum 5.25 ÷ (-1.35) is:
C. Before heating a solution, a scientist measured its temperature to be 5.25 *F. The scientist stopped heating the solution after 1.35 hours. The sum represents the final temperature of the solution.
800 students attend Ridgewood Junior High School. 25% of students bring their
lunch to school everyday. How many students brought their lunch to school on
Thursday?
Answers
200 number of students brought their lunch to school on Thursday.
What do you mean by Percentage?A Percentage is a number or ratio that can be expressed as a fraction of 100.
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
Percentage formula = (Value/Total Value) × 100
P% of Number = X
where X is the required percentage.
If we remove the % sign, we need to express the above formula
P/100 × Number = X
Given:
Total number of students in school = 800
25% students bring their lunch every day.
25% of 800
= [tex]\frac{25}{100} \times 800[/tex]
= 25 × 8
= 200
200 students bring their lunch to school on Thursday.
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A toy company is designing a new cylindrical container for their interlocking block product. The height h (in inches) and the radius r (in inches) are related by the inequality h> 0.3r ^2. The toy company has the following additional constraints. The height must be no more than 15 inches greater than the radius. The area of the base must be at least 36pi square inches. Which of the following is a possible set of dimensions for the container?
A) radius., height 21 inches
B) radius 8 in., height 21 in
C) Radius., 7 inches., height 23 in
D) radius., 9 inches., height 18 inches
I NEED THIS IN LIKE 30 MINUTES PLEASE
Answers
Answer: To determine if a set of dimensions is possible for the container, we need to check if it satisfies both the inequality h > 0.3r^2 and the two constraints.
A) radius = 21 inches, height = 21 inches:
The inequality h > 0.3r^2 is satisfied (21 > 0.3 * 21^2).
The height must be no more than 15 inches greater than the radius (21 - 21 <= 15), which is satisfied.
The area of the base must be at least 36pi square inches (pi * r^2 >= 36pi), which is not satisfied (pi * 21^2 < 36pi).
So, option A is not a possible set of dimensions.
B) radius = 8 inches, height = 21 inches:
The inequality h > 0.3r^2 is satisfied (21 > 0.3 * 8^2).
The height must be no more than 15 inches greater than the radius (21 - 8 <= 15), which is satisfied.
The area of the base must be at least 36pi square inches (pi * r^2 >= 36pi), which is satisfied (pi * 8^2 >= 36pi).
So, option B is a possible set of dimensions.
C) radius = 7 inches, height = 23 inches:
The inequality h > 0.3r^2 is satisfied (23 > 0.3 * 7^2).
The height must be no more than 15 inches greater than the radius (23 - 7 <= 15), which is satisfied.
The area of the base must be at least 36pi square inches (pi * r^2 >= 36pi), which is not satisfied (pi * 7^2 < 36pi).
So, option C is not a possible set of dimensions.
D) radius = 9 inches, height = 18 inches:
The inequality h > 0.3r^2 is not satisfied (18 <= 0.3 * 9^2).
The height must be no more than 15 inches greater than the radius (18 - 9 <= 15), which is not satisfied.
So, option D is not a possible set of dimensions.
Therefore, the only possible set of dimensions is B) radius = 8 inches, height = 21 inches.
Step-by-step explanation:
Ken is going on a hike with his friends. He brings 8 liters of water for everyone to share. While hiking, they drink 5 of liters.
Answers
Answer: If Ken brought 8 liters of water for everyone to share and they drank 5 liters of it, then the remaining amount of water they have is 8 - 5 = 3 liters.
Step-by-step explanation:
Which equation represents the line that passes through the point (1,5) and has a slope of -2?
Answers
HELP ASAP, WILL GIVE BRAINLESIT,.
A spinner is divided into three equal parts A, B, and C. The repeated experiment of spinning the spinner twice is simulated 125 times. A table of outcomes is shown.
Outcome Frequency
A, A 15
A, B 12
A, C 10
B, A 18
B, B 15
B, C 17
C, A 11
C, B 13
C, C 14
Based on the table, for what probability can you expect the spinner to not land on C?
0.48
0.66
0.10
0.33
Answers
Answer: 0.48
Step-by-step explanation:
So the question is asking for the probability of the spinner not landing on "C" within the 125 tries. So, we can see there are 4 possibilities:
A , AA , BB , AB , BNow, we add up how many times it landed on these 4 possibilities, which is 15 + 12 + 18 + 15 = 60.
To calculate the possibility, we divide the selected possibilities by the total amount of possibilites, which is [tex]\frac{60}{125\\}[/tex], which is equal to 0.48
The probability can you expect the spinner to not land on C is,
⇒ 0.48.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Now, the question is asking for the probability of the spinner not landing on "C" within the 125 tries.
So, we can see there are 4 possibilities:
A , A
A , B
B , A
B , B
Now, we add up how many times it landed on these 4 possibilities, which is,
⇒ 15 + 12 + 18 + 15 = 60.
Thus, To calculate the possibility, we divide the selected possibilities by the total amount of possibilities, which is;
⇒ 60 / 125
⇒ 0.48
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The midpoint of AB is M(1, 3). If the coordinates of A are (-1,5), what
are the coordinates of B?
Answers
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -1}{2}~~~ ,~~~ \cfrac{ y +5}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M} }{(1~~,~~3)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -1 }{2}=1\implies x-1=2\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +5 }{2}=3\implies y+5=6\implies \boxed{y=1}[/tex]
1-2ab-(a^2+b^2) factorise
Answers
Answer:
(1 +a + b)(1 - a -b)
Step-by-step explanation:
1 - 2ab - (a² +b²) = 1 - 2ab - a² - b²
= 1 - (2ab + a² + b²)
= 1 - (a + b)²
= 1² - (a +b)²
Identity: x² - y² = (x + y)(x - y)
= (1 + (a+b))(1- [a +b] )
= (1 +a + b)(1 - a -b)
portion of all homes in the city that have a television. which conditions for constructing this confidence interval did the sample meet?
Answers
If the sample met these conditions, then it is possible to construct a confidence interval for the proportion of all homes in the city that have a television.
In order to construct a confidence interval, the sample must meet the following conditions:
The sample must be a random sample of the population.The sample must be large enough to ensure a normal distribution.The sample size should be at least 30.The population should be normally distributed.The sample must be randomly selected from the population, large enough to ensure a normal distribution, and the population must be normally distributed. If these conditions are met, then a confidence interval can be constructed to provide an estimate of the proportion of homes that have a television.
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Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 < 3a
Choose...
b6
≤ 7
Choose...
–4.5c > 9
Choose...
–215
≤ –52
d
Choose...
Answers
Based on the following given inequality; the symbol will be reversed when the variable is isolated
–10.5 < 3a Yes b6 ≤ 7 No–4.5c > 9 Yes–215 ≤ –52d NoWill the symbol of the inequality be reversed?The condition for the symbol of an inequality to be reversed is;
if the variable is isolated and a negative number is used to divide.
The symbols of inequality are;
Greater than >
Less than <
Greater than or equal to ≥
Less than or equal to ≤
Equal to=
–10.5 < 3a
a < -10.5/3
a > -3.5
Yes
b6 ≤ 7
b ≤ 7/6
b ≤ 1.17
No
–4.5c > 9
c > 9/-4.5
c < -2
Yes
–215 ≤ –52d
d ≤ -215 / -52
d ≤ 4.14
No
Hence, the symbol will be reversed when the variable is isolated if the result of the division is negative.
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PLEASE HELP ME OUT WITH THIS QUEATION The city of McLean is doing construction on their local baseball stadium to increase guest capacity. When the stadium was built in 1971, it had 2000 seats. Several years ago, they increased the number of seats by 40%. Now, this renovation is taking the current size of the stadium and upping the capacity by 45%.
After this renovation, what is the guest capacity of McLean's baseball stadium?
Answers
Answer: 1,000 to 40,300
Step-by-step explanation: Every major league stadium will let in fans to start the season, but capacities vary, ranging from just over 1,000 to 40,300.
ANWSER ASAP!!!
100 points
At a national park, a trail rises no more than 3 feet above sea level. The inequality shown represents x , the height in feet of the trail. x≤3 Which number line shows the possible values of x ?
Answers
Answer:
For the inequality [tex]x \leq 3[/tex], there were no pictures so I created my own number line, check the picture:
Hope it helps! <3
Step-by-step explanation:
In ΔXYZ, x = 300 cm, z = 290 cm and ∠Z=109°. Find all possible values of ∠X, to the nearest degree.
Answers
The possible value of angle X, to the nearest degree is 78°.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c
Given that, in ΔXYZ, x = 300 cm, z = 290 cm and ∠Z=109°.
Here, sinX/x=sinZ/z
sinX/300 = sin109°/290
sinX/300 = 0.9455/290
sinX/300 = 0.00326
sinX=0.00326×300
sinX=0.978
∠X=78°
Therefore, the possible value of ∠X, to the nearest degree is 78°.
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sally has 20 water bottles he gives 10 to jerry how many does sally have left?
Answers
Sally has 20 water bottles he gives 10 to jerry, then final count of water bottles that Sally has is 10.
What is the addition?
The addition is the process of adding two or more numbers together to get their sum. Addition in math is a primary arithmetic operation, used for calculating the total of two or more numbers. For example, 7 + 7 = 14.
We have given,
sally has 20 water bottles he gives 10 to jerry how many does sally have left?
Sally originally had 20 water bottles.
When she gives 10 water bottles to Jerry, she will have 20 - 10 = 10 water bottles left.
Therefore, the final count of water bottles that Sally has is 10.
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Andrew put in 80 hours of work in July for which he is entitled to $920.65. He also works 5 hours overtime. If she receives a paycheck of $1030.45 for the month, how much is she paid for an hour of overtime work? Write an EQUATION and then solve it.
Answers
Answer: Let's call the hourly rate for regular work as "r" and the hourly rate for overtime work as "o".
From the information given, we know that 80 hours of regular work earned Andrew 80 * r = $920.65.
And we also know that 5 hours of overtime work earned him 5 * o = $109.80.
So, combining the two amounts, we have:
80 * r + 5 * o = $1030.45
Now, we can substitute the first equation into the second:
80 * r + 5 * o = $1030.45
80 * r = $920.65
80 * r + 5 * o = $1030.45
5 * o = $1030.45 - $920.65
5 * o = $109.80
Finally, we can solve for the hourly rate of overtime work:
o = $109.80 / 5
o = $21.96/hour
Step-by-step explanation: