The possible third side to a triangle is 12.
Given that,
The side length is 13 and 4.We need to find the third side length.
Based on the above information, the calculation is as follows:
Here we use the pythagoras theorem.
[tex]= \sqrt{13^2 - 4^2} \\\\= \sqrt{169-16} \\\\= \sqrt{153}[/tex]
= 12.37
= 12
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Claire wants to determine how her math score 690 on a standardized college entrance exam compared to her mother score 680 what she took the exam 20 years earlier the year Clair took the exam the mean math score was 510 with a standard deviation of 110 points on Claires mother took the exam the mean math score was 490 with a standard deviation of 100 points who has the better relative performance
Answer:
Claires mother did better because her z score was greater than Claires
Step-by-step explanation:
I j took the quiz
Claire's mother did better because her z-score was greater than that of Claires.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
As per the given information, the solution would be as
Here is Claire's data:
ц₁ = 510
σ₁ = 110
X₁ = 690
⇒ z-score = (X₁-ц₁ )/σ₁
Substitute the values,
⇒ z-score = (690 - 510)/110
⇒ z-score = 180/110
⇒ z-score = 1.636
Here is Claire's mother's data:
ц = 490
σ₂ = 100
X₂ = 680
⇒ z-score = (X₂-ц )/σ₂
Substitute the values,
⇒ z-score = (680 - 490)/100
⇒ z-score = 190/100
⇒ z-score = 1.9
So Claire's mother's z-score > Claire's z-score
Therefore, Claire's mother did better because her z-score was greater than that of Claires.
Learn more about the z-score here:
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is f(x)=5x^2+6x^3 a polynomial function
Write each phrase as an expression.
Double the sum of x and 4.
your answer should be 2(x+4)
Marco has joined a bowling league, and is trying to raise his average to 140. On his last four games he scored 133, 130, 131, and 136. How much will he need to score on the next game to raise his mean to 140?
I need help !!!!!!!
Given , KM = 22
Then JL =
This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,
KM = JL ( the diagonals in an isosceles trapezoid are congruent )
22 = JL
JL = 22
Therefore , JL = 22 .
Solution (6) :Given , DF = 8.7
Then , EG =
Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,
DF = EG ( the diagonals in an isosceles trapezoid are congruent )
8.7 = EG
EG = 8.7
Therefore , EG = 8.7 .
ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?
Answer:
42
It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.
But at least its correct.
Ms. Smith still have 42 ounces of candy in her bag.
What is Subtraction?To subtract means to take away from a group or a number of things.
Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.
1 pound = 16 ounces
She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds
3 pounds = 16*3 ounces = 48 ounces
She ate 6 ounces of candy
Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.
Hence, Ms. Smith still have 42 ounces of candy in her bag.
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Solve for r.
r + 7 < 6 or r + 8 > 18
Write your answer as a compound inequality with integers.
Free pints get it lolololo
Answer:
Yayee
Step-by-step explanation:
I need help please help me out .
-167-(-12)=
answer it idk
Answer:
155
Step-by-step explanation:
All you do is subtract negetive 167 and take -12 away from 167.
How do you Graph: -3x – 2y = -8
Answer:
I hope this helps!
Answer:
y = -2/3x +4 --> y = mx+b form
Step-by-step explanation:
-3x-2y = -8 --> add 3x to both side
-2y = 3x-8 --> divide by -2 on both side
y = -2/3x +4 --> y = mx+b form
the y intercept is 4 and the slope is -2/3, down 2, right 3.
therefore, the graph would contain a y intercept point of (0,4) and then from there u would start plotting down 2, going right 3 unit or up 2 and left 3 units. Then when u plotted at least 2/3/4 points, use a straightedge to draw the line.
NEED A MATH TUTOR ASAP !!!
tim has $20 in a savings account. The interest rate is 10% per year and is not compounded. How much will he have in 1 year ?
Answer:
$22
Step-by-step explanation:
20 * 1.10 = 22
10/3 = x/ (-5/2) what does x equal
The answer to the equation is [tex]x=-\frac{25}{3}[/tex]
First, you must cross multiply the fractions.
[tex]10*-\frac{5}{2} =x*3[/tex]
[tex]-25=3x[/tex]
Then, you must flip the equation.
[tex]3x=-25[/tex]
Finally, divide 3 on each side
[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]
[tex]x=-\frac{25}{3}[/tex]
please help!!!!!!!!!!!!! will give brainliest.
Answer:
x<9 and x>1/13
1/13<x<9
Step-by-step explanation:
First, let's find the value of x in the first equation:
6((x-1)/2-(x-3)/3)<2*6
(3x-3)-(2x-6)<12
3x-3-2x+6<12
x+3<12
x<9
Now, let's find the value of x in the second equation:
13x-1>0
13x>1
x>1/13
Since x has to satisfy both of these, the answer would be x<9 and x>1/13; in other words, 1/13<x<9.
instructions: analyze the diagram below and complete the instructions that follow
Answer:
75°
Step-by-step explanation:
x+60=5x. (vertical angles)
4x=60
x=15
m<GJI = x+60
=15+60 = 75°
Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.
a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .
Answer:
A) M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f'(1) = e' [sin(1) + cos(1) ]
D) g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
Step-by-step explanation:
Attached below is the detailed solution of the problem
A) m(w) = 3w^17 * 4^w
M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h(t) = [sin(t) + cos(t) ] t^4
h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f(x) = e^x sin (x). at a = -1
f'(1) = e' [sin(1) + cos(1) ]
D) g (x) = ( x^2 + x ) 2^x .
g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
in quadrilateral abcd below,
Answer: where is the quadrilateral
Step-by-step explanation:
Which of the following numbers is irrational?
what is 10x plus 50 - 2 divided by 6 + 100 times 8 - -2.
Answer: the answer is -947 hope this helped.
Step-by-step explanation:
Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.
Answer:
18 weeks
Step-by-step explanation:im gay
HELP!!!! (zoom in to see it better)
Answer:
C and D
Step-by-step explanation:
The lines are parallel to eachother dont worry about what the lines is in the middle
for the second question, it is the same thing, the lines are both going straight
which means that they are parallel
Answer:
C and D
Step-by-step explanation:
Find the distance between the points (10,5) and (6,2)
The answer fam is........... 5 To find the distance between (10,5) and (6,2) use the "Distance formula"
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 =1/4 (x – 12). What
is the standard form of the equation for this line?
Answer: y=1/4x - 2
Step-by-step explanation: The easiest way to solve this would be to graph it in point-slope form then find the slope and y-intercepts. Try using desmos for that method. There are multiple ways to convert point-slope to standard, however, and I would suggest talking to your teacher to see which method s/he prefers you use. Let me know, and I can help you more if you need it.
Hope this helps,
Lacia :))
explain how you would use the communitive property of multiplication to aswer 7x3.
Answer:
since 7 times 3 is 21
Step-by-step explanation:
it would be 7+7+7 becuase you do seven times 3
hope that helped!
3.08 + 8.94 Find the sum
Answer:
5.86
Step-by-step explanation:
Which statements are true about points A, B, and C? Check all that apply.
Answer:
b
Step-by-step explanation:
Answer:
2 & 5
Step-by-step explanation:
Mr.Watts is a famous motivational speaker. He travels across the country by jet and gives an average of seven presentations a week. He gives his
speeches in auditoriums that are always full and hold an average of 1000 people each. He charges $40 per person at each of these speeches. His
average expenses for each presentation, including renting the auditorium, are about $20,000. The cost of meals, motels, jet travel, and support
personnel total $60,000 per week. How many weeks will Mr. Watts need to travel if he wants to earn $560,000 per year?
Answer:
Mr watts needs 7 weeks
Step-by-step explanation:
The average expense per presentation = $20,000
Since Mr. Watts can give about 7 presentations per week, hence the average expense per presentation for a week = $20000 × 7 = $140000
Also the cost of meals, motels, jet travel, and support personnel total $60,000 per week. Hence the total cost per week is:
Total cost = $140000 + $60000 = $200000
The revenue gotten is $40 per person and can take 1000 people per each presentation. Hence:
Revenue per week = $40 per person × 1000 people × 7 days = $280000
Let assume the number of weeks needed to earn $560000 be x. Hence:
280000x - 200000x = 560000
80000x = 560000
x = 7
Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable
Answer:
The input of the function
Step-by-step explanation:
list four advantages and disadvantages of measures of location
Step-by-step explanation:
Advantages of using measures of dispersion are that it gives us a better idea of the range in which an average was calculated and it is easy to calculate and understand. A disadvantage of using measures of dispersion is that it is a broad measurement because it only shows the maximum and minimum values of data.
$5.97 / 2
please show your work! I'll give brainliest to whoever shows work.
Answer:
2.99
Step-by-step explanation:
1.) 2 goes into 5 2 times. So the 2 goes on top of the division sign
2.) 2x2=4
3.) Move 4 below 5
4.) Subtract 5-4=1
5.) Bring down 9
6.) 2 Goes into 19 9 times
7.) 2x9=18
8.) 19-18=1
9.) Bring down the 7
10.) 2 Goes into 17 8 times
11.) 2x8= 16
12.) 17-16=1
13.) Add a zero onto the end, bring down that zero
14.) 2 goes into 10 5 times.
15.) Round answer to 2.99 because with money you only have two decimals