Answer:$1.67
Step-by-step explanation:
Divide 20 and 12 to get 1.6666666 round the number and you get 1.67
A watermelon was ejected from a catapult reaching a maximum height of 20 ft. The watermelon left the catapult when it was 4 ft off the ground and hit the ground 45 ft away from the catapult. Can the equation that models the path of the watermelon be written given the information in the problem? If so, find the equation. If not, state what other information is needed.
Answer:
Step-by-step explanation:
No, the equation cannot be written with the given information. The distance from the catapult when the watermelon reached the maximum height is needed. Since the watermelon did not start on the ground, it cannot be assumed that the maximum was reached half the distance to the landing point.
Ma Amati’s bought x number of shirts for the new members of the dance team. The total amount paid for x shirts, including $2.99 shipping, was $118.99. Each shirt cost $14.50. There was no sales tax on this purchase. Which equation could be used to find x, the number of shirts bought
Answer: y = 14.50x + 2.99
Step-by-step explanation:
The equation is y = mx + b
y is the total cost and x is the number of shirt
We know each shirt is $14.50, and she bought x shirts, so 14.50 is the slope
The 2.99 shipping fee is the y-intercept
So our equation is
y = 14.50x + 2.99
in a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other. what is the probability that in any given period of 400 days there will be an accident on one day? use binomial approximation to poisson distribution.
The probability that in any given period of 400 days there will be an accident on one day is 0.2707
Given that;
In a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other.
n = 400, p = 0.005
Poisson distribution is given by;
e P(x) = (λˣe^λ ) / x!
Here, Mean(λ) = np
= 400*0.005
=2
The probability that there will be an accident on one day;
(P(x = 1)) = (λxe-λ)/x!
= 2*e-2
= 0.2707
The probability that in any given period of 400 days there will be an accident on one day is 0.2707
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Seventeen more than the product of a number and -3 is less than -29
Answer:
x >46/3
Step-by-step explanation:
Do the product first because of the more than
-3x + 17 < -29
Subtract 17 from each side
-3x + 17 -17< -29-17
-3x < -46
Divide each side by -3, remembering to flip the inequality
-3x/-3 > -46/-3
x >46/3
ingles TestGiven mZA = m D = 90° and AABC ADFE. If AB = 5 inches and BC = 13 inches, determine DE.POSSIBLE
We will apply the principle of similar triangles to solve this question
Given that
\(\begin{gathered} AB=5 \\ BC=13 \end{gathered}\)Method: Find side AC
We will use the Pythagoras theorem to evaluate AC
\(\text{hypotenuse}^2=\text{opposite}^2+\text{adjacent}^2\)\(13^2=5^2+AC^2\)\(\begin{gathered} AC^2=13^2-5^2 \\ AC^2=169-25 \\ AC^2=144 \\ AC=\sqrt[]{144} \\ AC=12 \\ \end{gathered}\)T
I was wondering What is 3 plus 3
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
3 plus 3 equals 6. If you have 3 cookies and you add three more, now you 6 cookies.
Bon Appetit
What is the population for the following situation?
What is the average cost of a 48 inch screen TV in the state of Oregon?
A statistical question can be used to illustrate a population or a sample
All the TV screens in the state of Oregon represents the population
How to determine the population
The statistical question is given as:
"What is the average cost of a 48 inch screen TV in the state of Oregon?"
From the above question, we have the following parameters:
All TV screens48 inch screen TVAll the TV screens in the state of Oregon represents the population of the distribution, while the 48-inch screen TV represents the sample
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Monique went on a hike in the hills. The table
displays the times and distances from the beginning to
the end of the hike.
If Monique hiked at a constant pace, which equation
shows the relationship between the length of the time
she hiked and the distance she hiked?
A. d= 6t
B. d = 4.8t
C. d= 12.5t
D. d= 0.087
Answer:
I believe it is A, d= 6t
It is an odd question though.
Translate into an algebraic expression - two inches shorter than Kathryn's
height *
Answer:
x-2
Step-by-step explanation:
since Kathryn's height is unknown we would use x then we subtract 2 because the person is shorter.
Please help me out please please y'all help please please ASAP please
At the bottom there’s another question to this picture I’ll post it know just help with this and then use the picture for the other question I’m gonna post
Answer:
AM=5 x=1
x=16 CM=86
x=-7 AS = -37
Step-by-step explanation:
twice a number divided by 3
Answer:
3/4
Step-by-step explanation:
Solve for y only and then graph your answer.
1) y-3x=2
2) y+2=-2/3x
3) y-3=2(x-3)
Sally uses a total of 1 cup of liquid for a recipe. She used 2/5 cup of vinegar. And the rest of the liquid was Malik
Sara used 3/5 cup of milk in the recipe. The answer corresponds to option (B) in the given answer choices.
The total amount of liquid used by Sara in the recipe is 1 cup. Out of this 1 cup, Sara used 2/5 cup of vinegar. Therefore, the amount of milk she used would be the difference between the total amount of liquid used and the amount of vinegar used.
Mathematically, we can represent this as:
Amount of milk = Total amount of liquid - Amount of vinegar
Amount of milk = 1 cup - 2/5 cup
Simplifying the expression on the right side, we get:
Amount of milk = 5/5 cup - 2/5 cup
Amount of milk = 3/5 cup
Therefore, Correct option is B.
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Complete question is:
Sara used a total of 1 cup of liquid for a recipe. She used 2/5 cup of vinegar, and the rest of the liquid she used was milk.
How much milk, in cups, did sara use for the recipe?
A) 2/5
B)3/5
C)5/5
D) 1 2/5
What is the answer to this question
The angles are which alternate exterior angles include the following: A. ∠XWY and ∠STR.
What are parallel lines?Parallel lines can be defined as two (2) lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.
What is the alternate exterior angle theorem?The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.
In conclusion, we can logically deduce that both ∠XWY and ∠STR are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.
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given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only
Answer:
\(4 \frac{1}{9}x\) + \(12\frac{1}{3}\) = 0
Step-by-step explanation:
Based on 2x - 9y - 12 = 0
-9y = 12 - 2x
9y = -12 + 2x
y = \(-1\frac{1}{3} + \frac{2}{9} x\)
Therefore...
5x - 4y + 7 = 0
5x - 4(\(-1\frac{1}{3} + \frac{2}{9} x\)) + 7 = 0
5x + \(5\frac{1}{3}\) - \(\frac{8}{9} x\) + 7 = 0
\(4 \frac{1}{9}x\) + \(12\frac{1}{3}\) = 0
Find the probability that a student scored less than 600 or took less than 4 years of math. SHOW ALL WORK.
The probability that a student scored is 0.8.
How to find the probability?To find the probability that a student scored less than 600 or took less than 4 years of math.
We need to add the probabilities of each of these events occurring separately, and then subtract the probability of both events occurring together.
Let P(L) be the probability that a student scored less than 600 and P(M) be the probability that a student took less than 4 years of math.
We are not given the joint probability of both events, so we need to calculate it using the formula:
P(L and M) = P(L) + P(M) - P(L or M)
where P(L or M) is the probability that a student scored less than 600 or took less than 4 years of math.
Assuming that the events of scoring less than 600 and taking less than 4 years of math are independent, we can calculate their probabilities separately:
P(L) = 0.35 (given)
P(M) = 0.25 (given)
To calculate P(L or M), we add the probability of scoring less than 600 to the probability of taking less than 4 years of math, and then subtract the probability of both events occurring together:
P(L or M) = P(L) + P(M) - P(L and M)
We don't have the value of P(L and M), so we cannot directly calculate P(L or M). However, we know that the sum of probabilities of all possible events is equal to 1.
Therefore, we can use the formula:
P(not L and not M) = 1 - P(L or M)
where P(not L and not M) is the probability that a student scored 600 or more and took 4 or more years of math.
Since we know that the events of not scoring less than 600 and taking 4 or more years of math are complementary to scoring less than 600 or taking less than 4 years of math.
We can use the complement rule to calculate P(not L and not M):
P(not L and not M) = 1 - P(L or M)
= 1 - (P(L) + P(M) - P(L and M))
= 1 - (0.35 + 0.25 - P(L and M))
= 0.4 - P(L and M)
Now we need to find P(L and M) to calculate P(not L and not M). We are not given this probability directly, so we cannot use the product rule.
However, we know that the number of students who scored less than 600 and took less than 4 years of math is 80, and the total number of students is 400. Therefore, we can use the formula:
P(L and M) = number of students who scored less than 600 and took less than 4 years of math / total number of students
= 80 / 400
= 0.2
Substituting this value in the formula for P(not L and not M), we get:
P(not L and not M) = 0.4 - P(L and M)
= 0.4 - 0.2
= 0.2
Therefore, the probability that a student scored less than 600 or took less than 4 years of math is:
P(L or M) = 1 - P(not L and not M)
= 1 - 0.2
= 0.8
So the probability that a student scored less than 600 or took less than 4 years of math is 0.8.
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Expand.
Your answer should be a polynomial in standard form.
(9+ m)(-m +9)=
Answer: -1m²+81
Step-by-step explanation:
correct standard form means that the terms are ordered from biggest exponent to lowest exponent.The leading coefficient is the coefficient
of the first term in a polynomial in standard form.
FoR example, (9+ m) (-m+9) = *(m+9) (-m+9) *m(-m+9) +9 (-m+9)* -1.mm+9m +9(-m+9) * -1m² +9m +9(-m+9) *-1m²+9m- 9m +81
answer -1m²+81
Emily walks her neighbors dogs at a starting cost of $15 plus an additional $5 for every mile.
Which function can be used to determine how many dollars, d, Emily will make after walking w miles?
A) d= 5w + 15
B) d = 15w + 5
C) d = 75w
D) d = 20w
Answer:
A) d = 5w + 15
Step-by-step explanation:
total dollars she will make is equal to $5 per mile with additional $15 as a starting cost
Answer:
d= 5w + 15
Step-by-step explanation:
Find x pleaseeeeeeeeee
Answer:
20
Step-by-step explanation:
One angle of a nonagon has an angle of 140 degrees, so
7x = 140.
Divide 140 by 7 to find the value of x.
140 ÷ 7 = 20
PLS HELP. I don’t understand this stuff.
Answer:
reflection over axis switch coradinate
Step-by-step explanation:
What is 18.92 divided by 11 equal explain your answer 28.5 got at the top and 10 at the bottom PLEASE I ONLY HAVE 19 MINS TO TURN THIS IN. EXPLAIN YOUR ANSWER!
The answer is 1.72.
What is division?Division is splitting into equal parts or groups.
Given that 18.92 divided by 11
Let’s have a simple division.
18.92 : 11 = 1.72
Hence, 18.92 divided by 11 equal to 1.72
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how much will Yoona charge to walk 8 dogs
Yoona will charge $20.75 to walk 8 dogs based on the trend of Yoona charges to walk dogs.
How to find the amount to be charged?First, find the pattern in the amount that Yoona charges to walk each additional dog.
Additional cost to walk 2 dogs:
= 40 - 37.25
= $2.75
Additional cost to walk 3 dogs:
= 37.25 - 34.50
= $2.75
Additional cost to walk 4 dogs:
= 34.50 - 31.75
= $2.75
Every extra dog therefore leads to a fall in price by $2.75. For eight dogs, Yoona would charge:
= 40 - (7 x 2.75)
= 40 - 19.25
= $20.75
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A store is having a sale. The price of a jacket is set to decrease by $1.50 during each hour of the sale. How long will it take for the price of the jacket to decrease by $18.00?
Answer: It will take 12 hours for the price of the jacket to decrease by $18
Step-by-step explanation: All you got to do for this problem is 18 divided by 1.50 to get $12.
Melanie went into a grocery store and bought 6 peaches and 8 mangos, costing a total of $14.50. Jaya went into the same grocery store and bought 7 peaches and 4 mangos, costing a total of $14.25. Write a system of equations that could be used to determine the price of each peach and the price of each mango. Define the variables that you use to write the system.
Answer:
Mango = 0.5, Peach = 1.75
Step-by-step explanation:
Let x represent the price of mango
Let y represent the price of peach
Melanie: 8x + 6y = 14.50
Jaya: 4x + 7y = 14.25
Isolate for a variable in one of the equations (just pick a random one, you don't have to pick mine)
4x + 7y = 14.25 => x = (14.25 - 7y)/4 = 3.5625 - 7/4y
Plug into other equation
8x + 6y = 14.50
8(3.5625 - 7/4y) + 6y = 14.5
28.5 - 14y + 6y = 14.5
28.5 - 14.5 = 14y - 6y
14 = 8y
y = 1.75
4x + 7y = 14.25
4x + 7(1.75) = 14.25
4x + 12.25 = 14.25
4x = 2
x = 0.5
I’ll give you brainliest!!!!! Which ordered pair is a solution to the system of inequalities? y=3x y=9
Answer:
( 6,10)
Step-by-step explanation:
y>3x y>9
Set them equal to each other
3x >9
Divide by 3
3x/3 >9/3
x > 3
y>9
The only option with x > 3 y>9 is ( 6,10)
Answer:
C
Step-by-step explanation:
Since y > 9 the answer is either C or D
However, since y>3x, the answer must be C
Since 3*6 > 11
Solve for x.
3x2+8x = 6
(show your work)
what is the equivalent expression for( 7 x 6+7 x y)
Answer:
7x (y + 6)
x(7 y + 42)
Step-by-step explanation:
I need help, please say the right answers!
A. Define variables and write an equation to represent the relationship between the quantities.
B. How far would the biker travel in 20 minutes?
C. If the biker traveled 48 miles, how many minutes did he bike? Round to the nearest tenth.
A. The equation d = s * t shows relationship between the quantities.
B. They would cover a distance of 10 miles in 20 minutes.
C. Rounded to the nearest tenth, the biker would bike for 96.0 minutes.
What is distance?
Distance is the measure of the physical space between two objects or points. It is a scalar quantity that is usually measured in units such as meters, kilometers, miles, etc. In physics, distance is considered to be a fundamental concept and is often used in conjunction with time to calculate other physical quantities, such as speed and acceleration.
a. We can define the following variables:
t: time in minutes
d: distance traveled by the biker in miles
s: speed of the biker in miles per minute
Using these variables, we can write the equation d = s * t to represent the relationship between them.
b. If the biker rides for 20 minutes, we can use the equation d = s * t to find the distance traveled. Assuming the biker's speed is 0.5 miles per minute, we get:
d = 0.5 * 20 = 10 miles
Therefore, the biker would travel 10 miles in 20 minutes.
c. If the biker traveled 48 miles, we can use the equation t = d / s to find the time taken, where s is again assumed to be 0.5 miles per minute:
t = 48 / 0.5 = 96 minutes
Rounded to the nearest tenth, the biker would have ridden for 96.0 minutes to cover 48 miles.
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a rectangular room is 3 3 times as long as it is wide, and its perimeter is 56 56 meters. find the dimension of the room.
Consequently, the room has a 7 meter width. The room's length is
\(= 7 * 3 meters = 21 meters\)
What is rectangle?
A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
Given that the length of the rectangular space is three times its breadth
The chamber has a 56-meter perimeter.
Assume that the room's width is x.
As a result, the room is three times as long.
The room's perimeter is now equal to 2(3x + x).
\(Here, 2(3x + x) = 56\\ 2 * 4x = 56\\ 8x = 56\\ x = 7.\)
Consequently, the room has a 7 meter width.
The room's length is
\(= 7 * 3 meters\\= 21 meters\)
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In a perfectly symmetrical bell-shaped "normal" distribution
a) the arithmetic mean equals the median.
b) the median equals the mode.
c) the arithmetic mean equals the mode.
d) All the above.
The correct response is d) All the above. The arithmetic mean is equal to the median, the median is equal to the mode, and the mode is equal to the arithmetic mean.
If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.
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