so, on this solution, I tried to find which percentage of 15,800 is 711.
x/100 . 15800 = 711
158x = 711
x = 4.5
then, the tax rate equals to 4.5%
hope it helps :)
A group of 17 students participated in a quiz competition. Their scores are shown below:
Score 0–4 5–9 10–14 15–19 20–24
Number of students 4 5 2 3 3
Part A: Would a dot plot, a histogram, or a box plot best represent the data shown above. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Part A
Answer: HistogramExplanation:
A histogram is best because it helps show how the scores breakdown for the various bins or intervals or classes. It's effectively a visual summary of a grouped frequency table.
A dot plot would not work because we don't know the specific scores, but rather just the general region of where they fall.
A box plot doesn't work well either because we lose information on how the distribution is broken down. Sure we get the five number summary out of it, but we don't see how the bins are set up.
============================================================
Part B
We have the categories or bins of 0-4, 5-9, 10-14, 15-19, 20-24. Each bin will correspond to a bar that tells us how frequently the values show up. It tells us how frequent or how many scores we got in that sub-interval.
The bin 0-4 has a bar that is 4 units high which means we got 4 scores that are between 0 and 4The bin 5-9 has a bar that is 5 units high, so we have 5 scores between 5 and 9.The bin 10-14 has a bar that is 2 units high since we have 2 scores in this region.And so on. This all leads to the histogram shown below.
Answer:
Part A is a histogram.
Part B draw a histogram
Step-by-step explanation:
This is because a dot plot and a box plot are too specific for how the data was given. We don't know the exact number for each student.
Part B The x axis would be labeled by the groups, 0-4, 5-9, 10-14, 15-19, 20-24. The y axis would be labeled number of students. Then you could color in the area matching the correct number of students for each category.
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
n= 64, x= 3, p= 0.04
Answer:
0.2210
Step-by-step explanation:
If p = 0.04
then 1-p = 1 - 0.04 = 0.96
So we have the probability distribution value
as;
n C r * p^r * (1-p)^(n-r)
Thus;
64 C 3 * p^3 * (1-p)^(64-3)
= 64 C3 * 0.04^3 * 0.96^61
where 64 C 3 is 64 combination 3
= 41,664 * 0.04^3 * 0.96^61
= 0.2210
What is the equivalent expression to 7/5y.
Answer:
7 * 1/5y
Step-by-step explanation:
division is the same as multiplying it by the quantity under 1 so 7 times 1/5y is the equivalent expression
A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. By how much % more is the marked price above the cost price?
Give full explanation
Answer:
Let the MP of 1 article = Rs 1
MP of 15 article = Rs 15
SP of (15+1) articles = 15 x 96/100
= Rs 14.40
CP of 16 article = 14.40/135 x 100
= Rs 32/3
CP of 1 article = 32/3x16
= Rs 2/3
Required % = 1/3 x 3/2 x 100
= 50
Select the correct answer.
Which function Is represented by this graph?
find the square root of the following number 8136.04
Answer:
90.2
Step-by-step explanation:
Assuming that you can use a calculator, you would need to type in the square root symbol and type in the value 8136.04.
The square root of 8136.04 is 90.2.
I found this answer on the Internet. *If* it were an original answer, below is how I would grade it and why.
The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB - CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm, EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem: 2*4= 2.5 * ED
ED = (2 * 4)/2.5
3.2 cm.
Answer:
1) It is given that line AB is tangent to the circle at A.
∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)
Thus, the measure of ∠CAB is 90º.
Javier jogs 3/4 of a mile in 8 1/2 minutes how much minutes will it take him to jog 1 mile?
Answer:
11 minutes and 20 seconds. or 11.33
Step-by-step explanation:
Reciprocal of .75 is 1.33. Multiply 1.33 times 8.5 minutes to find how long it would take to run one mile.
or
Divide 8.5 minutes by 3 to find how long it takes to run 1/4 of a mile, and multiply that time by 4 to see how long it takes to run one mile.
Simple angle please help :)
y = 42°
Because the angle at the side of right angle will also be right angle or 90°
Sum of all angles of a triangle = 180°.
So, 48° + 90° + y = 180°
=> 138° + y = 180°
=> y = 180° - 138°
=> y = 42°
Angles on a straight line are 180. Therefore, 180 - 90 (right angle) = 90
Angles in a triange add to 180.
90 + 48 = 138
180 - 138 = 42
y = 42—————— (not sure if you need this, but:)
To work out x, you would do:
Angles on a straight line add to 180.
180 - 48 = 132
132/2 = 66
x = 66To work out z:
Angles in a triangle add to 180. You know x is 66, so
66 + 90 (right angle) = 156
180 - 156 = 24
z = 24me podrian ayudar con esto?-- cual es la factorizacion prima del 90 y su respectivo proceso
Answer:
[tex]2*3^{2} *5[/tex]
Step-by-step explanation:
90 = 45 = 15 = 5
2 3 3
2 3
2
Calculate the trade discount amount of goods with a list price of $29,000 less trade discounts of 40 1/2 / 20 1/4 / 5
Answer: $15927.183
Step-by-step explanation:
Price of good= $29,000
Trade discount = 40½ 20¼/5
The first discount will be:
= 40½ × $29000
= $11745
Then, the price after the first discount will be:
= $29000 - $11475
= $17255
Then, the second discount will be:
= $17255 × 20¼%
= $3494.14
Then, the price after the second discount will be:
= $17255 - $3494.14
= $13760.86
The third discount will be:
= $13760.86 × 5%
= $688.043
Then, the total discount will be:
= $11745 + $3494.14 + $688.043
= $15927.183
Therefore, the trade discount is $15927.183.
Which expression is equivalent to ____?
Answer: B) ^6√2
Both expressions equal 1.22
Step-by-step explanation:
Please answer question C.
First you can subtract y from 180 (number of degrees in a straight line) to find the value of x and z combined; 180-80=100. This means x+z=100.
Since you know that x:z is 2:3, and they add up to 100, you can find x and z. Add 2+3 (the ratios) to get 5. There are 5 parts in 100. The value of each part is 20 (divide 100/5). The value of x is 2 parts, and the value of z is 3 parts. 2 parts of 20 is 40 (multiply 2*20). 3 parts of 30 is 60 (multiply 3*20).
Now you know that x is 40 and y is 60.
You can also check your answer.
40+80+60 equals 180.
Answer:
[tex]<x = 40[/tex]
Step-by-step explanation:
The degree measure of a line is (180) degrees. Therefore the sum of (<x), (<y), and (<z) is (180) degrees. As per the given information (<y = 80). Moreover, it is given that the angles (x) and (z) are in the following ratio: ( (<x) : (<z) = (2) : (3) ). Call (n) the factor by which the ratio was simplified. Using this though process, one can state the following: ( (<x) = 2n) and ( (<z) = 3n). Using all of this information, form an equation, solve for (n), finally substitute and solve for (<x).
[tex](<x)+(<y)+(<z)=180[/tex]
Substitute,
[tex]2n+3n+80=180[/tex]
Simplify,
[tex]5n+80=180[/tex]
Inverse operations,
[tex]5n+80=180[/tex]
[tex]5n=100[/tex]
[tex]n=20[/tex]
Substitute to back solve for (<x),
[tex]<x = 2n\\n = 20\\\\<x = 2(20)\\<x = 40[/tex]
hello please help me !
Answer:
The answer is D.
Step-by-step explanation:
D is the only choice that properly connects each part of the equation, such as 6*50-6 -> 300-6.
the distance between (-4,-5) and (4,2)
Answer:
rida22 this is the third of these you asked for...
do you need help on the steps???
the solution is using the Pythagorean theorem (a^2 + b^2 = c^2)
so distance "A" = x1-x2 which is 4 - (-4) in your problem = 8
[tex]a^2 + b^2 = c^2[/tex]
[tex]8^2 + b^2 = c^2[/tex]
"B" = y1-y2 = -5 - 2 = -7
[tex]8^2 + (-7)^2 = c^2[/tex]
64 + 49 = c^2
c^2 = 113
c = [tex]\sqrt{113}[/tex]
Step-by-step explanation:
what must be added to x3-3x2-12x+19 so that the result is exactly divisible by x2+x-6?
Answer:
[tex]x^3-3x^2-12x+19[/tex] is divisible by [tex]x^2+x-6[/tex] when [tex]2x+5[/tex] is added to it.
Step-by-step explanation:
Let [tex]p(x)=x^3-3x^2-12+19[/tex] & [tex]q(x)=x^2+x-6[/tex]
By division algorithm, when p(x) is divided by q(x), the remainder is a linear expression in x
So, let [tex]r(x)=ax+b[/tex] is added to [tex]p(x)[/tex] so that [tex]p(x)+r(x)[/tex] is divisible by [tex]q(x)[/tex]
Let, [tex]f(x)=p(x)+r(x)[/tex]
⇒ [tex]f(x)=x^3-3x^2-12x+19+ax+b[/tex]
⇒ [tex]f(x)=x^3-3x^2+x(a-12)+b+19[/tex]
We have,
[tex]q(x)=x^2+x-6=(x+3)(x-3)[/tex]
Clearly, [tex]q(x)[/tex] is divisible by [tex](x-2)[/tex] and [tex](x+3)[/tex]
{ [tex](x-2)[/tex] and [tex](x+3)[/tex] are factors of [tex]q(x)[/tex] }
We have,
[tex]f(x)[/tex] is divisible by [tex]q(x)[/tex]
⇒ [tex](x-2)[/tex] and [tex](x+3)[/tex] are factors of [tex]f(x)[/tex]
From factors theorem,
If [tex](x-2)[/tex] and [tex](x+3)[/tex] are factors of [tex]f(x)[/tex]
then [tex]f(2)=0[/tex] and [tex]f(-3)=0[/tex] respectively,
⇒ [tex]f(2)=0[/tex] ⇒ [tex]2^3-3(2)^2+2(a-12)+b+19=0[/tex]
⇒ [tex]8-12+2a-24+b+19=0[/tex]
⇒ [tex]2a+b-9=0[/tex]
Similarly,
[tex]f(-3)=0[/tex] ⇒ [tex](-3)^3-3(-3)^2+(-3)(a-12)+b+19=0[/tex]
⇒ [tex]-27-27-3a+36+b+19=0[/tex]
⇒ [tex]b-3a+1=0[/tex]
Subtract (1) from (2)
[tex]b-3a+1-(2a+b-9)=0-0[/tex]
⇒ [tex]b-3a+1-2a-6+9=0[/tex]
⇒ [tex]-5a+10=0[/tex] ⇒ [tex]5a=10[/tex] ⇒ [tex]a=2[/tex]
Put [tex]a=2[/tex] in equation 2
⇒ [tex]b-3[/tex] × [tex]2+1=0[/tex] ⇒ [tex]b-6+1=0[/tex] ⇒ [tex]b-5=0[/tex] ⇒ [tex]b=5[/tex]
∴ [tex]r(x)=ax+b[/tex] ⇒ [tex]r(x)=2x+5[/tex]
Hence, [tex]x^3-3x^2-12x+19[/tex] is divisible by [tex]x^2+x-6[/tex] when [tex]2x+5[/tex] is added to it.
Hope this helps...
Stephen wants to use the Angle Angle Similairity Theorem to determine if the street between the park and bus stop is parallel to the street between his friend's house and the grocery store. He knows the angle between the bus stop, the park, and his home. Which other angle does he need to know?
Answer:
The angle between his home, his friends house and grocery store
Step-by-step explanation:
The given angle are;
The angle between the bus stop, the park and his home
The Angle Angle Similarity Theorem can be used to determine if the streets are parallel by verifying if there are congruent corresponding angles on the streets between his friends house and the grocery store and the street between the park and the bus stop
Therefore, the angle he needs to know is the angle between his home, his friends house and grocery store which are same side interior angles and they should sum to 180° to give the angle between the road and the other side of his friend's house
I need help!! h(x)=x^2-5 Find h(-7) simplify your answer.
ABC is a straight line and angle CBD = 116°
a) Work out the value of x.
С
B.
169
b) Pis a point on the minor arc AD.
Explain why angle APD = 116'
+
D
Answer:
a) 128°
b) Opposite angles of a cyclic quadrilateral add up 180°
Step-by-step explanation:
→ Work out ABD
180 - 116 = 64°
→ Use the theorem 'The angle at the centre is twice the angle at the centre'
2 × 64 = 128°
→ Use the cyclic quadrilateral theorem
Opposite angles of a cyclic quadrilateral add up 180°
The value of x is 128 degree when the angle CBD is of 116 degree.
What is a quadrilateral?It is a four sided polygon having four angles and four corners.
How to determine angles in a circle?Firstly we find angle ABD which is 180-116=64 Degrees because the angle at the center is twice the angle on the any point of circle.
So the value of x becomes 2*64=128 degrees.
By using the cyclic quadrilateral theorem opposite angles of a cyclic quadrilateral has a sum of 180 degrees.
Learn more about cyclic quadrilateral theorem at https://brainly.com/question/27420229
#SPJ2
Given that SQ is the perpendicular bisector of PR , set up the equation needed to solve for n and find the value of of n
** Fill in the blanks for full credit**
Step-by-step explanation:
the equation is
3n-1 = 5n-7
2n= 6
n= 3
What is the domain of this function?
Answer:
1,2,3,4
Step-by-step explanation:
I'm not sure, but i think it is
Dave is a builder. Yesterday he made mortar mix. He used 24kg of sand and 5kg of cement. Today he needs to make the same type of mortar mix, but he will use 36kg of sand. How much cement does he need?
Answer:
7.5 kg
Step-by-step explanation:
Ratio of sand to cement = 24kg : 5kg
Today he needs to make the same type of mortar mix, but he will use 36kg of sand.
Let
x = quantity of cement used
Ratio of sand to cement = 36 kg : x kg
Equate both ratios
24 kg : 5 kg = 36 kg : x kg
24/5 = 36/x
Cross product
24 * x = 5 * 36
24x = 180
x = 180/24
x = 7.5
x = quantity of cement used = 7.5 kg
Which of the following is in standard form of quadratic? f(x)=-5x^(2)-3x+9 f(x)=-5(x+4)(x-2) f(x)=-5(x-1)^(2)+6 f(x)=2x-8
Step-by-step explanation:
Answer:f(x)=-5x^(2)-3x+9 this is the standard form
Step-by-step explanation: Standard form of quadratic equation is a[tex]x^{2}[/tex]+b[tex]x[/tex]+c.so the first was in standard form.Please answer these !!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
a) 8 * 3 = 24 cm^2
b) 5.2 * 7.7 = 40.04 cm^2
The sizes of the interior angles of a pentagon are in the ratio 1:2:5:5:7. Calculate the size of the largest. Hint; sum of interior angles in a pentagon is 540°.
Answer:
X = 27
2x = 54
5x = 135
7x = 189
Step-by-step explanation:
let 1:2:5:5:7 be 1x,2x,5x,5x,7x
Which equation is equivalent to the given equation?
- 4(x – 5) + 8x = 9x – 3
Hi!
-4(x - 5) + 8x = 9x - 3
-4x + 20 + 8x = 9x - 3
-4x + 8x - 9x = -3 - 20
-5x = -23
Answer: B
Answer:
B
Step-by-step explanation:
-4x +20 +8x = 9x -3. That's equall to 4x+20=9x-3. subtract 9x both sides, -5x+20=-3. subtract 20 both sides, -5x=-23.
Given m
II
n, find the value of x.
m
n
20
119°
Please help
x=119
hope it doesn't help you!!
Which term, when added to the given polynomial, will change the end behavior of the graph?
y = 14x8 – 6x5 – 2x4 – 10
a. –6x9
b. –5x7
c. 5x8
d. 6x10
Answer:
A) -6x9 will change the end behavior of the graph.
OAmalOHopeO
a. –6x9 when added to the given polynomial, will change the end behavior of the graph.
hope it helps :)
please mark brainliest!
By selling a mobile for Rs.30, 000, Shankar gains 5%. Find the CP of the mobile.
Answer:
Rs. 28,571.4
Step-by-step explanation:
Let
Cost price = x
Profit = 5% of x
= 0.05x
Selling price = Rs.30, 000
Profit = Selling price - cost price
0.05x = 30,000 - x
Collect like terms
0.05x + x = 30,000
1.05x = 30,000
x = 30,000/1.05
x = Rs. 28,571.428571428
Approximately,
Cost price = x = Rs. 28,571.4
There is a bag with 50 popsicles inside. 5
are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is red or not orange?
P(not red)
Answer:
25%
Step-by-step explanation:
We know that there are ten purple popsicles. Together without the purple popsicles, there are 40 popsicles in total. Therefore there is a 10/40 chance to get purple. We need to turn this into a percentage so we do (10 / 40) x 100. This would equal to 25%, therefore, there is a 25% probability to get a purple popsicle.
