The histogram shows information about the weights of some of the parcels handled by a delivery company in one month.
Zoe says:
"There are fewer parcels weighing between g and g than parcels weighing between g and g."
Is Zoe correct?
Show how you decide.
(4 marks)
Answers
From the histogram of the distribution, it is found that Zoe is not correct, as there are more people weighing between 300 g and 450 g than people weighing between 450 g and 700 g.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed in the distribution. When the input is an interval of values, as is the case in this problem, it shows the number of observations that is in each interval.
Hence, from the histogram in this distribution, it is found that:
There are approximately 75 people weighing between 300 g and 450 g.There are 50 people weighing between 450 g and 700 g.75 is a greater amount than 50, hence Zoe's statement is not correct, as there are more people weighing between 300 g and 450 g than people weighing between 450 g and 700 g.
What is the missing information?The complete problem is given by the image at the end of the answer.
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Related Questions
Why is it important to always label your numeric answers with unit labels? Give at least one example of how labeling a numeric answer with the wrong label would make a big difference in the answer.
Answers
It is important to always label your numeric answers with unit labels on order not to confuse others and to understand what it illustrates.
An example is when solving for the area of a shape abd the person writes cm³. This means volume and is incorrect.
What is labeling?A graph labelling is the process of assigning labels, which are often represented by integers, to the edges and/or vertices of a graph in the field of mathematics known as graph theory.
The information you need to obtain the answer must first be considered after you have determined what the challenge is asking for. You draw attention to certain aspects of the issue. After that, you label them so you can keep them organized and avoid becoming confused by them.
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What is the domain of the function f(x) - 50 ? 5 + 720-2 {x: 0 < 20) {0, 1, 2, 3,.20} {a: 2 < 20} {0, 1, 2, 3,....19
Answers
The domain of a function f(x) is the set of values of the variable x for which the function is defined (has a defined finite value).
In the case of rational functions like this one, the function becomes undefined when the denominator is 0, so we can write:
[tex]\begin{gathered} 5+\sqrt[]{20-x}=0 \\ \sqrt[]{20-x}=-5\longrightarrow\text{ there is no real value for x that will satisfy this condition} \end{gathered}[/tex]As the square root will only give positive values or zero, there is no value of x that will make the square root be equal to -5. Then, this condition does not give us any discontinuity for f(x).
We have now to consider that the square root of (20-x) will not accept negative arguments in order to be in the realm of real numbers. So then, we have the condition:
[tex]\begin{gathered} 20-x\ge0 \\ 20\ge x \\ x\le20 \end{gathered}[/tex]Then, f(x) will not be defined for x that do not satisfy this condition.
We can conclude that f(x) is defined for all values of x that are equal or less than 20.
Answer: The domain is {x: x<=20}
Then
A father and a son go hunting. The father kills an average of 2 animals every 5 shots and the son kills one animal every 2 shots. If the two fired at the same animal at the same time, what is the probability that they will obtain kill?
Answers
The probability that the father and son will obtain a kill if they both fired at an animal the same time is 0.9
What is the probability of an event?The probability of an event is the likelihood of the occurrence of event.
The average number of animals the father kills every 5 shots he takes = 2
The average number of animals the son kills every 2 shots he takes = 1
[tex]Probability = \dfrac{Number \ of \ required \ items}{Number \ of \ possible \ outcomes}[/tex]
Which gives:
The probability that the father kills an animal = [tex]P(F) = \dfrac{2}{5} = 0.4[/tex]
The probability that the son kills an animal is; [tex]P(s) = \dfrac{1}{2} =0.5[/tex]
The probability that if the father and the son fires at the same animal, the probability that they will obtain a kill, which is the probability that the animal is killed , P(A) = The probability that the father kills the animal + The probability that the son kills the animal
P(A) = P(F) + P(s) = P(F) ∪ P(s)Which gives: P(A) = 0.4 + 0.5 = 0.9
The probability that the animal will be killed is approximately 0.9
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two sides of a triangle are 18 ft and 23 ft. Find the range for the measure of the third side.
Answers
Using the triangle inequality theorem the range of measures of the third side is 5 < x < 41
How to find the third side of the triangle?The triangle inequality theorem states that any side of a triangle must be shorter than the other two sides added together.
In other words, the triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Therefore, for a triangle that has the sides a, b and c will follow the principle below:
c < a + b
b < a + c
a < b + c
Therefore, the triangle has two sides as 18 ft and 23 ft. The range of the third side is as follows:
x < 23 + 18; x < 41
18 < 23 + x
23 < x + 18
Therefore, base on the first and third inequality.
x < 41
x > 5
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Hey I really don’t understand this pls someone help or explain
Answers
The value of sin ∠A in the right triangle is 3 / 5
How to find the angle of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees.
Base on the angles, the side of a right triangle can be named as follows:
opposite sidehypotenuse sideadjacent sideUsing trigonometric ratio, sin ∠A can be found as follows:
sin ∠A = opposite / hypotenuse
Hence,
opposite side = 3
hypotenuse side = 5
Therefore,
sin ∠A = 3 / 5
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1/2x+1/2+1/2x+1/2?
PLEASE HELP!
Answers
Answer:
X+1
Step-by-step explanation:
x+1
determine whether the triangle is a right angled angle or not if AC=6cm, AB=15cm and BC=9cm
Answers
The given parameters did not satisfied the conditions. Therefore, it is not a right angle triangle.
What is triangle?
In mathematics, the triangle is a closed polygon shape which has three vertex as well as three sides. It consist of three forms depending upon the sides. If all the sides are different then it is scalene otherwise equilateral triangle.
According to the question, the given triangle parameters are as follows:
AC = 6 cm; AB = 15 cm; BC = 9 cm;
Using Pythagoras theorem, the right angle property can be checked:
Let us assume the triangle ABC, with three sides:
AB² + BC² = AC² ⇒ (15)² + (9)² = (6)²
The given parameters did not satisfied the right angle triangle conditions. Therefore, it is not a right angle triangle.
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Answer:
not a triangle
Step-by-step explanation:
You want to know if side lengths AC=6 cm, AB = 15 cm, and BC = 9 cm will define a right triangle.
Triangle inequalityThe triangle inequality requires the sum of the two shortest sides of a triangle exceed the length of the longest side. Here the requirement for the given lengths to form a triangle is ...
6 cm + 9 cm > 15 cm . . . . . . . . false
The given side lengths do not satisfy the triangle inequality, so do not form any kind of triangle.
__
Additional comment
Side lengths of a right triangle will satisfy the Pythagorean theorem, so that would be the test for a right triangle. We used the triangle inequality here, because we noticed the short sides add up to the long side. We need go no further, because these lengths do not even form a triangle.
A department store is selling 3 pairs of socks for $5. Mrs. Wagner want to buy a dozen pairs. How much will this cost?
Answers
Suppose the sequence 28, 14, ... is geometric.
a)Determine the common ratio.
b) List the next 3 terms in the sequence. Explain your reasoning.
please help me!!
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
common ratio r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{28}[/tex] = [tex]\frac{1}{2}[/tex] = 0.5
(b)
to find the next term, multiply the previous term by r = 0.5
14 × 0.5 = 7
7 × 0.5 = 3.5
3.5 × 0.5 = 1.75
the next 3 terms in the sequence are 7 , 3.5 , 1.75
⇒In a geometric sequence to find the common ratio(r) we use the formula
[tex]r=\frac{T_{2} }{T_{1} }[/tex]
But in general we use the formula is [tex]r=\frac{T_{n+1} }{T_{n} }[/tex]
In this case we are going to use
[tex]r=\frac{14}{28} \\r=\frac{1}{2}[/tex]
⇒The common ratio of the sequence is [tex]\frac{1}{2}[/tex], to get the 3 consecutive terms you are going to multiply the current term by the common ratio which in this case is [tex]\frac{1}{2}[/tex]
[tex]T_{3} =T_{2} * r\\\\T_{3}=14(\frac{1}{2} )\\T_{3} =7[/tex]
[tex]T_{4} =T_{3} *r\\T_{4}=7(\frac{1}{2} )\\T_{4}=\frac{7}{2}[/tex]
[tex]T_{5}=T_{4} *r\\T_{5}=\frac{7}{2} *\frac{1}{2} \\T_{5}=\frac{7}{4}[/tex]
If you have any questions ask me as soon as possible.
GOODLUCK!!
Alexander's hobby is dirt biking. On one occasion last weekend, he accelerated from rest to 10.3m/s in 5.98 seconds. He then maintained this speed for 7.92 seconds. Seeing a coyote cross the trail ahead of him, he abruptly stops in 4.33 seconds. Determine Alexander's average speed for this motion.
Answers
Using the equation of motion, it can be determined that Alexander travels at an average speed of 37.73 m/s while operating a bike.
What are motion equations?Equations of motion are equations that explain how a physical system behaves in terms of how its motion changes over time.
The three equations are,
v = u + at v² = u² + 2as s = ut + 1/2at²For the initial 5.98 seconds, initial velocity = 0, acceleration = 10.3 m/s and time taken = 5.98 s
Using first equation of motion,
v = u + at
v = 0 + 10.3(5.98) = 61.594 m/s
He then kept this speed up for 7.92 seconds.
For the last 4.33 seconds, final velocity = 0, initial velocity = 61.594 m/s
Acceleration = (0-61.594)/4.33 = -14.224 m/s
Distance travelled in 5.98 seconds is given as follows:
s = u t + 1/2(at²)
= 0 + 1/2(10.3)(5.98)²
= 184.16 m
Distance travelled in 7.92 seconds = 61.594 × 5.98 = 368.33 m
Distance travelled in 4.33 seconds is given as follows:
s = u t + 1/2(at²)
s = 61.594(4.33) + 1/2(-14.224)(4.33)²
= 133.35 m
Total distance travelled = 184.16 + 368.33 + 135.35 = 687.84 m
Average speed = Total distance/Total time = 687.84/(5.98+7.92+4.33)
= 37.73 m/s
Therefore, average motion speed for Alexander while riding a bike is 37.73 m/s which is calculated by using the equation of motion.
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Allan has 4 buckets of paint. He spills 3. buckets. Estimate how many buckets of paint Allan has left.
14
12
O
2
bucket
O1 bucket
01- buckets
O2 buckets
Answers
In Salt Lake City, it is 8˚ colder than it is in Houston. What's the temperature in Salt Lake City? the Houston degree is 8
Answers
The temperature in salt lake city will be 0° Celsius.
What is temperature?
Temperature tells us about the degree of hotness or coldness of a body. According to the thermodynamics, temperature is a measure of the average kinetic energy of the atoms or molecules in the system.
Given is Salt Lake City where it is 8˚ colder than it is in Houston.
The degree of coldness on Celsius scale increase as the temperature tends to negative values and degree of hotness on Celsius scale increase as the temperature tends to positive values. The temperature in Houston is 8° Celsius. Since, the temperature is 8 degrees colder, we will subtract 8° from the temperature value in Houston. Therefore, temperature in salt lake city will be -
T[S] = + 8 - 8 = 0° Celsius
Therefore, the temperature in salt lake city will be 0° Celsius.
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Fill in the blank h(-5) • g(-2) = ________g(x) = x2. h(x) = 3x - 2
Answers
The first step to solve this question is to find the values of h(-5) and g(-2)
In order to do that, you need to use the value of x=-5 in the function h(x) and x=-2 in the function g(x).
So we have that:
[tex]\begin{gathered} g(x)=x^2 \\ g(-2)=(-2)^2=4 \\ \\ h(x)=3x-2 \\ h(-5)=3\cdot(-5)-2=-15-2=-17 \end{gathered}[/tex]Now we can calculate the product of h(-5) and g(-2):
[tex]h(-5)\cdot g(-2)=(-17)\cdot4=-68[/tex]So the value to fill the blank is -68.
complete the table of values x+y=6
Answers
Answer:
See below
Step-by-step explanation:
Number of distinct variations:
3
[tex]\left[\begin{array}{ccc}1&5\\2&4\\3&3\end{array}\right][/tex]
The answer to x + y = 6 can pretty much be anything that equals 6 but in addition so for example 3 + 3!
Find the domain of the relation represented on the mapping diagram:
3-------> -1
6-------> 4
8-------> 4
Explain how to do it please!!
Answers
{3, 6, 8} is the domain of the relation R={(3,-1)(6,4)(8,4)}
What is Function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
A function has three important parts, domain, codomain and Range.
The domain of the relation R is the set of arguments i.e. first members of each ordered pair and the codomain is the set of which the values i.e. second members of all the ordered pairs.
In the Given relation
R={(3,-1)(6,4)(8,4)}
All the values in x place are domain values.
The domain equals all of the x values which are r on the left in a ordered pair
x= {3, 6, 8}
Hence {3, 6, 8} is the domain of the relation R={(3,-1)(6,4)(8,4)}
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Jogging at a constant speed, Ahmed
completes
a run of 4 miles in 60 minutes.
Answers
Answer: Every 15 minutes he runs a mile. 60 / 4 = 15
I hope this helps or answers the question needed
How would i solve for X?
Please help!
Answers
Answer: 49 degrees
Step-by-step explanation:
130+99=229
229-180=49
49 degrees
180 degrees is a straight line
What is the prime factorization of 7850?
Answers
Answer:
the prime factorization of 7850 is 2, 5, 5, 157
I need help in math can you please help me
Answers
That's it, do you have any question about the answer? my ple
You have 8 nickels, 5 dimes, 6 quarters and 4 pennies. How much money do you
have?
$2.49
$2.44
$2.54
$2.59
Answers
Question 8
g Principal (p) = 1500, Rate (r) = 7%, Time (t)
= 8 years. Calculate the Interest.
n
et A.
C.
$840
$2,340
B.
D.
$1200
$660
Answers
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1500\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &8 \end{cases} \\\\\\ I = (1500)(0.07)(8) \implies I = 840[/tex]
Solve for L.
A=LW
L=
Answers
L = A/W
how do i create a visual for -7+10
Answers
Answer:
Let's say you have a table with spots for 10 plates and each plate can hold 1 pie. But 7 plates are missing from the table. You place your pies in each spot anyway. Out of those 10 spots available, only 3 have both pies and plates.
Louises saving change by -9 dollars each time she goes bowling in all a change by -$99 during the summer how many times did she go bowling in the summer
Answers
Answer:
11 times
Step-by-step explanation:
-99/-9=11
What is the length of side AC of the triangle? A=6x + 7 B= 5x + 5 C = 7x - 1
Answers
ok it literally shows on the figure the length of the side AC is 6x + 7.
Answer:
AC = 25 units
Step-by-step explanation:
since ∠ A and ∠ C are congruent then the 2 legs BC and AB are congruent
BC = AB ( substitute values )
7x - 1 = 5x + 5 ( subtract 5x from both sides )
2x - 1 = 5 ( add 1 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Then
AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25
please help meeee!!!
Answers
Answer:
195 feet? (I know the answer but I'll leave the rest to you about typing it either cm2 or those stuff.
Step-by-step explanation:
To work this out so, congruent means identical. We already have the answer to EF so 13 x ? But BC = 15 feet. And BC = FG So,
13 x 15 = 195.
Hope this helps
Solve it please
Iwhdhehehdhdh
Answers
Hello!
To evaluate h(3)
==> must plug '3' into x's position in the equation:
[tex]h(3)=3^2-4(3)+5\\h(3)=9-12+5=2[/tex]
Hope that helps!
Answer:
2
Step-by-step explanation:
substitute 3 for the x
3²-4(3)+5
9-12+5
2
WILL MARK BRAINLIEST Simplify 3√5-2√7+√45-√28.
O 2√12
O 2√2
O 6√5-4√7
O 6√10-4√14
Answers
Answer:
The result of [tex]\tt{}3 \sqrt{5} - 2 \sqrt{7} + \sqrt{45} - \sqrt{28} [/tex] is [tex]\tt{}6\sqrt{ 5} - 4 \sqrt{7}. [/tex]
Step-by-step explanation:
[tex]\tt{}3 \sqrt{5} - 2 \sqrt{7} + \sqrt{45} - \sqrt{28} [/tex]
[tex]\tt{}3 \sqrt{5} - 2 \sqrt{7} + 3\sqrt{5} -2 \sqrt{7}[/tex]
[tex]\tt{}6\sqrt{5} - 4 \sqrt{7}[/tex]
The angle bisectors of AABC are AV, BV, and CV. They meet at a single point V.
(In other words, V is the incenter of AABC.)
Suppose TV=20, CV=23, mZTCU= 34°, and m SAV=26°.
Find the following measures.
Note that the figure is not drawn to scale.
S
B
U
mZSAU =
mSBV =
SV = [
Answers
The measure of the angles is m∠SAU= 24°
What is an incenter in geometry?The incenter is the point at which all of the attitude bisectors meet in the triangle, like within the video. It is not always the middle of the triangle.
In triangle ABC, V is the incenter of the triangle.
Since, m∠SAV = 26°
And m∠SBV = 2(m ∠SAV)
= 2 × 26°
= 52°
Since Property of the incenter of a triangle;
Therefore, DG = EG = GF = 10
Since, m∠A + m∠B + m∠C = 180°
2(18)° + 34° + 2(m∠SAU) = 180°
2(m∠SAU) = 180° - 132°
m∠SAU= 24°
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f(x)= -8x ; f(-3) times f(5)
Answers
Answer: -960... It seems like a really big answer but it's right!
Step-by-step explanation: