Answer:
after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points
please help solve it
Answer:
Step-by-step explanation:
1 to find AB
in triangle ADB
here 4 and 2[tex]\sqrt{6}[/tex] are the legs of the right triangle so let them be a and b respectively.
AB is the hypotenuse (longest side ) and let it be x
using pythagoras theorem
a^2 + b^2 = c^2
4^2 + [tex](2\sqrt{6} )^2[/tex] = AB^2
16 + 4*6 = AB^2
16 + 24 = AB^2
40 = AB^2
[tex]\sqrt{40}[/tex] = AB
[tex]2\sqrt{10}[/tex] = AB
therefore AB =v[tex]2\sqrt{10}[/tex] .Hence proved .
In triangle ADC
here 6 and [tex]2\sqrt{6}[/tex] are the legs of the right angle so let them be a and b respectively. AC is the hypotenuse (longest side) so let it be c
usinfg pythagoras theorem
a^2 + b^2 = c^2
6^2 + [tex](2\sqrt{6} )^2[/tex] = AC^2
36 + 4*6 = AC^2
36 + 24 = AC^2
60 = AC^2
[tex]\sqrt{60}[/tex] = AC
[tex]2\sqrt{15}[/tex] = AC
To prove triangle ABC is a right angled triangle
AD and BD are the legs and AB is hypotenuse
according to pythagoras theorem to be the right angle triangle the sum of square of two smaller sides of a triangle must equal to the square of hypotenuse(longest side)
let two smaller sides be a and b respectively and c be hypotenuse
using pythagoras theorem
a^2 + b^2 = c^2
4^2 + [tex](2\sqrt{6} )^2[/tex] = [tex](2\sqrt{10} )^2[/tex]
16 +2^2*6 = 2^2*10
16 + 4*6 = 4*10
16 + 24 = 40
40 = 40
since both sides are equal it is proved that the triangle ABC is a right angled triangle.
Hope this helps u !!
Answer:
2 square root 10
Step-by-step explanation:
firstly you must find the hipotenus using the hipotenus formula AB is the hipotenus
(4)*2 + (2 square root 10)*2 = 40 juat press a calculator if you dont know
and then you press square root of 40 then you will get 2 square root 10 so you already prove that AB is 2 square root 10
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
O y + 2 =1/3(x + 3)
O y-2=1/3(x-3)
O y + 3 = 1/3(x+ 2)
O y-3= 1/3(x-2)
Answer:
y - 2 = 1/3(x - 3)
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Plug in the slope:
y - y1 = m(x - x1)
y - y1 = 1/3(x - x1)
Plug in the given point:
y - y1 = 1/3(x - x1)
y - 2 = 1/3(x - 3)
So, the correct answer is y - 2 = 1/3(x - 3)
The area of a square is64. Cm
What is the length of its side
Answer:
The length is 8 cm. Since its a square, so the length of both its sides are equal.
l^2=64
where l=length of side
square root both sides
then, l=8
Answer:
8cm is the length of its side.
Step-by-step explanation:
Which of the following is a point-slope equation of a line with the point (-6,2)
and a slope of ? 1/2
Answer:
Choose (D)
y-y1=m(x-x1)
y-2=1/2(x+6)
11x^2-2x^3+7 and -x^2+6x-7 as sum
Answer:
-2x³+10x²+6x
Step-by-step explanation:
-2x³+11x²+0x+7
0x³ - x²+ 6x-7
_____________
-2x³+10x²+6x+0
_____________
Determine which data are qualitative and which data are quantitative. Explain your reasoning
a. The yearlysalaries of the employees at aschool district.(2pts)
b. The employeenumbers of the employees at an accounting firm.(2pts)
c. The areacodes of a sample of 350 residents of nursing homes.(2pts)
d. The ages of a sample of 350 residents of nursing home. (2pts)
e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)
f. The IQ index of the students in a statistics class.(2pts)
Answer:
a. Quantitative
b. Qualitative
c. Qualitative
d. Quantitative
e. Qualitative
f. Quantitative
Step-by-step explanation:
Qualitative measures:
Answers are labels, that is, yes/no, good/bad, or numbers in which comparisons or operations cannot be made.
Quantitative measures:
Answers are numbers in which comparisons are made, or possible operations.
a. The yearly salaries of the employees at a school district.(2pts)
Salaries are numbers, in which comparisons can be made(more or less), so quantitative.
b. The employee numbers of the employees at an accounting firm.(2pts)
Number, but comparisons aren't made with these numbers, so qualitative.
c. The area codes of a sample of 350 residents of nursing homes.(2pts)
Number, but comparisons aren't made with these numbers, so also qualitative.
d. The ages of a sample of 350 residents of nursing home. (2pts)
Number, comparisons made, you can rank by age for example, so quantitative.
e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)
Labels, so qualitative.
f. The IQ index of the students in a statistics class.(2pts)
Students can be ranked by IQ, so quantitative.
Help meeee pleasssseeee
Answer:
x = 8
Step-by-step explanation:
The side-splitter theorem states that when a line that is parallel to the third side of a triangle intersects the other two sides of the triangle, it divides the two sides proportionally.
Applying this theorem, we have the following equation:
x/52 = 2/13
Cross multiply
x*13 = 2*52
13x = 104
13x/13 = 104/13
x = 8
Which pair of expressions below are equivalent?
a. 7(2n) and 9
b. 3n + 5n and 15n
c. 4(2n-6) and 8n - 24
d. 7(2n) and 72n
Answer:
The answer is C
Hope this helped!
Laura, David, and Carlos served a total of 115 orders Monday at the school cafeteria. David served 3 times as many orders as Carlos. Laura served 10 more orders than Carlos. How many orders did they each serve?
Answer:
Step-by-step explanation: ts 6 11 19 56
Laura, David, and Carlos served a total of 115 orders
David served 3 times as many orders as Carlos. David = 3x
Laura served 10 more orders than Carlos. let Carlos = x
How many orders did they each serve? Laura = x + 10
Carlos + David + Laura = 115
x + 3x + x+10 = 115
5x + 10 = 115
5x = 115 - 10
5x = 105
x = 21 Carlos
63 Davide
31 Laura
add then up 115 Total
Actividad N°2: Marque la alternativa correcta en la siguiente pregunta.
Sea una función tal que () = 7 − 3 cuyo dominio es el conjunto () =
{−1, 0, 1, 2, 3}, entonces el () es:
5 PUNTOS
A) () = {−2, 1, 4, 7, 10}
B) () = {−1, 0, 1, 2, 3}
C) () = {4, 7, 10, 13, 16}
D) () = {1, 2, 3, 4, 5}
E) () = {−16, −13, −10, −7, −4}
Answer:
Hola busco amigos
Perdí mi otra cuenta
Ayúdame y te ayudo con tus tareas
¿ si?
Step-by-step explanation:
Assume that Y is normally distributed with mean μ and standard deviation σ. After observing a value of Y, a mathematician will construct a rectangle with length L = |Y|and width W = 3 |Y|. Let A denote the area of the resulting rectangle. What is E(A)?
WILL GIVE BRAINLIEST
4
3
2x + 4
x+7
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{x+7}{3} =\frac{2x+4}{4}[/tex]
do cross multiplication
[tex]3(2x+4) = 4(x+7)\\6x + 12 = 4x + 28\\6x - 4x = 12 - 16\\2x = 16\\x = 16/2\\x = 8[/tex]
Is (2, 3) a solution to this system of equations?
2x + 5y = 19
X + 16y = 5
yes
no
Answer:
No
Step-by-step explanation:
To check if (2,3) is a solution to the system of equations, we simply have to plug the coordinate points into the two equations and see if it is valid.
[tex]2*2+5*3=\\4+15=\\19\\\\19=19[/tex]
(2,3) belongs in the first equation.
[tex]2+16*3=\\2+48=\\50\\\\50\neq 5[/tex]
(2,3) does not belong in the second equation.
Therefore, (2,3) is not a solution to this system of equations.
I hope this helps! Let me know if you have any questions :)
In ΔFGH, f = 7.2 cm, g = 1.2 cm and h=6.6 cm. Find the area of ΔFGH to the nearest 10th of a square centimeter.
9514 1404 393
Answer:
3.6 cm²
Step-by-step explanation:
Heron's formula is usually used for calculating triangle area from side lengths.
The semiperimeter is ...
s = (7.2 +1.2 +6.6)/2 = 7.5
Then the area is ...
A = √(s(s -f)(s -g)(s -h)) = √(7.5(0.3)(6.3)(0.9)) = √12.7575
A ≈ 3.57176 cm²
The area of ΔFGH is about 3.6 square centimeters.
A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.31 lb, the mean of all of the weights is x=2.088 lb, and the standard deviation of the weights is s=1.968 lb. a. What is the difference between the weight of 5.31 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.31 lb to a z score. d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.31 lb significant?
Answer:
a) The difference is of 3.222 lbs.
b) 1.64 standard deviations.
c) Z = 1.64
d) Not significant, as the z-score of 1.64 is between -2 and 2.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean of all of the weights is x=2.088 lb, and the standard deviation of the weights is s=1.968 lb.
This means that [tex]\mu = 2.088, \sigma = 1.968[/tex]
a. What is the difference between the weight of 5.31 lb and the mean of the weights?
This is [tex]X - \mu = 5.31 - 2.088 = 3.222[/tex]
The difference is of 3.222 lbs.
b. How many standard deviations is that [the difference found in part (a)]?
This is the z-score. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.31 - 2.088}{1.968}[/tex]
[tex]Z = 1.64[/tex]
1.64 standard deviations.
c. Convert the weight of 5.31 lb to a z score.
Z = 1.64, as found above.
d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.31 lb significant?
Not significant, as the z-score of 1.64 is between -2 and 2.
Please help me with this as quickly as possible!
Answer:
1:2
is your answer
Step-by-step explanation:
The thickness of eight pads designed for use in aircraft engine mounts are measured. The results, in mm, are 41.8, 40.9, 42.1, 41.2, 40.5, 41.1, 42.6, and 40.6. Assumed that the thicknesses are from a normal distribution. Can you conclude that the mean thickness is greater than 41.0 mm a) State your hypotheses. b) Test your hypotheses at .01 significance level. c) Your conclusion (in the context of this problem)
Answer:
We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm
Step-by-step explanation:
Sample Information:
Results:
41.8
40.9
42.1
41.2
40.5
41.1
42.6
40.6
From the table we get:
sample mean : x = 41.35
sample standard deviation s = 0.698
Hypothesis Test:
Null Hypothesis H₀ x = 41
Alternative Hypothesis Hₐ x > 41
The test is a one-tail test
If significance level is 0.01 and n = 8 we need to use t-student distribution
From t-table α = 0.01 and degree of freedom df = n - 1 df = 8 - 1
df = 7 t(c) = 2.998
To calculate t(s) = ( x - 41 ) / s/√n
t(s) = ( 41.35 - 41 ) / 0.698/√8
t(s) = 0.35 * 2.83/ 0.698
t(s) = 1.419
Comparing t(s) and t(c)
t(s) < t(c)
t(s) is in the acceptance region we accept H₀
Balu had a collection of coins1/2 of the coins were from Asian countries,1/3
of them from European countries and the remaining 36 from America.
How many coins were from ASIAN countries?
A)18
B)30
C)108
D)216 step by step explanation please
Step-by-step explanation:
[tex] \frac{1}{2} = asian \\ \frac{1}{3} = european \\ 36 = american \\ \frac{1}{2} + \frac{1}{3} = \frac{3 + 2}{6} = \frac{5}{6} \\ \frac{6}{6} - \frac{5}{6} = \frac{1}{6} = 36 \\ \frac{1}{6} = 36 \: so \\ \frac{6}{6} =6 \times 36 = 216 \\ \frac{1}{2} \times 216 = asian \\ \frac{1}{2} \times 216 = 108asian \\ please \: mark \: brainliest[/tex]
There are total 108 coins belonging to Asian countries.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Balu had a collection of coins 1/2 of the coins were from Asian countries, 1/3 of them from European countries and the remaining 36 from America.
Let the total number of coins be x,
Establishing the equation, we get,
x/3+x/2+36 = x
Multiplying the equation by 6, we get,
2x+3x+216 = 6x
6x-5x = 216
x = 216
Therefore, the total numbers of coins are 216,
Since, there are 1/2 of total coins are Asian coins,
Therefore, number of Asian coins = 216 / 2 = 108
Hence, There are total 108 coins belonging to Asian countries.
For more references on equations, click;
https://brainly.com/question/29657983
#SPJ2
Simplify Expressions. Which expression is
equivalent to 5x - 2 + 2x - 6
7X-8
3X-8
7x - 4
3X - 4
Answer:
7x - 8
Step-by-step explanation:
Hope this helps!
Help meeeeeeeeeeeeeeeeeeeee
Answer:
question please so I can help you
determine the missing angle.
ABCD is a quadrilateral such that the measures of three of its interior angles are given as B=122 degrees, C= 75 degrees, D= 51 degrees, find m=A
please help me with explanation
Answer:
angle A is 112 degree.
Step-by-step explanation:
quadilateral have 4 angles .
sum of the interior angles of a quadilateral is 360 degree
Here,
angle A = be x
angle B = 122
angle C = 75
angle D = 51
Now,
angle A + angle B + angle C + angle D =360 degree
x + 122 + 75 + 51 = 360
x + 248 = 360
x = 360 - 248
x = 112
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
The director of health services is concerned about a possible flu outbreak at her college.She surveyed 100 randomly selected residents from the college's dormitories to see whether they had received a preventive flu shot.The results are shown below.What is the probability that a dormitory resudent chosen at random from this group had a flu shot, given that he is male?
A: 39/80
B: 13/17
C: 39/100
D: 51/100
=============================================================
Explanation:
The "given that he is male" stated at the end means we only focus on the male column. This is because we know 100% that the person selected is male. Either we're told this by someone else, or we can determine this another way.
There are 39 males that got the flu shot out of 51 males total. The probability we're after is 39/51 = (3*13)/(3*17) = 13/17
It's effectively saying: out of every 17 males, 13 of them got the flu shot.
170 lbs to kg round to nearest tenth
When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. What values of the domain, t, make sense? Why?
c. What values of the range, h, make sense? Why?
Step-by-step explanation:
a.
Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h
To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29
29 - 2t = h
b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0
29-2t = h = 0
t=14.5
Therefore, anything between 0 and 14.5 minutes makes sense
c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount
NO LINKS NO FILES. Write the next two integers: -48, -24, -12, _, _
Answer:
-6,-3
hope this helps
have a good day :)
Step-by-step explanation:
seven more than the quotient of a number and 2 is equal to 3 equation
Answer:
Step-by-step explanation:
seven more than the quotient of a number and 2 is 10
7+n/2=10 n=6 check 7+3=10 ok
What is the gradient of the blue line
Answer:
Up 2 to the right 1
Step-by-step explanation:
that would be i think
Troy has already spent 2 minutes on the phone, and he expect to spend 3 more minutes with every phone call he routes. In all How many phone calls dose troy have to route to spend a total of 32 minutes on the phone?
2 divided by 32 is 16 so im gonna say 16
16 is ur answer
What’s the value of X????
