Answer:
Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.
What is the value of x in the triangle?
45°
7
X
45°
A. 7
B. '14
C. 72
D. 7V2
2
Answer:
c
Step-by-step explanation:
the value of x can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
The triangle is an isosceles triangle
An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Thus the value of the base is also 7
7² + 7²
49 + 49
= 98
√98 = 9.899 = 7√2
Jen wants to finish half of her book. She is on page 24. The book has 68 pages. The equation shown represents this situation. 24+□=68÷2 Which is the missing number that represents how many more pages Jen must read to finish half of her book?
68Answer:
10
Step-by-step explanation:
68/2=34
24+10=34
Someone tell me the answers for this question please
Answer:
a=2
b=10.5
c=4
d=17.5
Step-by-step explanation:
so 3.5 miles per hour and the columns are miles and then hours
so an equation can be 3.5 (mi/hr) * t (time) = distance
so for a): 3.5*t=7
t=2
b) 3.5*3=distance
distance is 10.5
c) 3.5*t=14
t=4
d) 3.5*5=d
d= 17.5
The expression
3(x+6)-x
can be simplified to the form
2x + a)
What is the value of a?
Answer:
a = 18
Step-by-step explanation:
3(x+6)-x = 2x + a
Distribute
3x +18 -x = 2x+a
2x +18 = 2x+a
Subtract 2x from each side
18 = a
What is the area of the triangle in centimeters
squared?
Answer:
A = 112cm²
Step-by-step explanation:
Area of a triangle = (bh) / 2
b = base length and h = height
The triangle shown has a given base length of 14cm and a given height of 16cm
Hence area = ( 16 * 14 ) / 2
16 * 14 = 224
224 / 2 = 112
A = 112cm²
I need help please no links
Answer:
A and D
Step-by-step explanation:
Look at the answer choices as (x,y) so if you multiply the x for the x spot and the y for the y spot, you make sure the it is greater than or equal to 3 and if it is, select that answer.
A scientist is studying the growth of anew species of bacteria. Looking back on his meticulous records, the scientist sees that his starting population was 50 bacteria. Five hours later, he measured 550 bacteria. What is the population of the bacteria after 10 hours, after 20 hours?
Answer:
In 10 hours, the population is 6050 bacteria. In 20 hours, the population is 732050 bacteria.
Step-by-step explanation:
Bacterial populations can be assumed to grow exponentially. In 5 hours, since the population will have multiplied by 11, in 10 hours it will have multiplied by 121 (11^2) and by 14641 (11^4).
50 * 11 * 11 = 6050
50 * 11 * 11 * 11 * 11 = 732050
Answer:
Step-by-step explanation:
550 = 50 [tex]x^{5}[/tex]
11 = [tex]x^{5}[/tex]
ln(11) = 5 ln(x)
x = [tex]e^{ln(11)/5}[/tex]
x = 1.615
10 hours ....
A= 50 ([tex]1.615^{10}[/tex] )
A= 50 ([tex]1.615^{10}[/tex] )
A=6050
20 hours ....
A= 50 ([tex]1.615^{20}[/tex] )
A= 50 ([tex]1.615^{20}[/tex] )
A=732,050
c. A 40-foot ladder reaches 38 feet up the side of a house. How far from the base of the
house is the foot of the ladder?
Answer: 12.48
Step-by-step explanation:
38x38+bxb=40x40
1444+b=1600
1600-1444=156
[tex]\sqrt156[/tex]=12.48
The base of the house is 12.48 foot far from the foot of the ladder.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
It is given that A 40-foot ladder reaches 38 feet up the side of a house.
We need to find that How far from the base of the house is the foot of the ladder.
Using Pythagoras theorem, we get;
[tex]38^2 + b^2 =40^2\\\\1444 + b^2 = 1600\\ \\b^2 = 1600 - 1444 \\\\b^2= 156\\\\b = 12.48[/tex]
Therefore, the base of the house is 12.48 foot far from the foot of the ladder.
Learn more about Pythagoras theorem;
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Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?
A) Jasmine because she ran 0.8 minute faster per mile.
B) Jasmine because she ran 0.3 minute faster per mile.
C) Caroline because she ran 0.7 minute faster per mile.
D) Caroline because she ran 0.2 minute faster per mile
Answer:
B
Step-by-step explanation:
For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per one mile.
Jasmine:
[tex]\frac{42.5}{5} =\\\\[/tex]
[tex]8.5[/tex] minutes per mile
Caroline:
[tex]\frac{26.4}{3} =\\[/tex]
[tex]8.8[/tex] minutes per mile
Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:
[tex]8.8-8.5=0.3[/tex]
B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.
I hope this helps! Let me know if you hae any questions :)
Solve for p in the literal equation 2p + 38 = 9.
p =
Answer:
p = -29/2
Step-by-step explanation:
2p + 38 = 9
Subtract 38 from each side
2p + 38-38 = 9-38
2p = -29
divide by 2
2p/2 = -29/2
p = -29/2
Answer:
p=-14.5
Step-by-step explanation:
2p + 38 = 9
-38 -38
2p = -29
[tex]\sqrt{2}[/tex] [tex]\sqrt{2}[/tex]
p = -14.5
the length of rope P is three times the length of rope Q. After 10cm of rope is cut from rope P and rope Q respectively, the length of rope P is four times the length of Q. Calculate the original length, in cm, of rope P before it is cut.
Answer:
150 cm
Step-by-step explanation:
The information in the question includes;
The length of rope P = 3 × The length of rope Q
The length of rope P - 10 cm = 4 × (The length of rope Q - 10 cm)
Let p represent the original length of rope P and let q represent the original length of rope Q, we have;
p = 3·q...(1)
p - 10 = 4·(q - 10)...(2)
Expanding equation (2) gives;
p - 10 = 4·q - 40
∴ p = 4·q - 40 + 10 = 4·q - 50
p = 4·q - 50...(3)
Equating the values of p in equation (1) and equation (3) gives;
p = 3·q, and p = 4·q - 50, therefore, by the substitution property of equality, we have;
3·q = 4·q - 50
50 = 4·q - 3·q = q
q = 50
p = 3·q
∴ p = 3 × 50 = 150
The original length of P before it was cut, p = 150 cm.
Someone please help me ASAP
Answer:
(4, 0)
Step-by-step explanation:
D is clearly (1, 2).
so, for D' we have (1+3, 2-2) = (4, 0).
that's it. there is nothing more to it.
Use the elimination method to solve the system of equations. Choose the correct ordered pair
Answer:
Answer is B
Step-by-step explanation:
[tex]12x - y = 25 \\ 9x + y = 17 \\ x = \frac{17 - y}{9} \\ 12( \frac{17 - y}{9} ) - y = 25 \\ [/tex]
[tex]\frac{204}{9} - \frac{12}{9} y - y = 25 \\ \frac{204}{9} - \frac{21y}{9} = 25 \\ - \frac{21y}{9} = 25 - \frac{204}{9} \\ - \frac{21y}{9} = 2.33 \\ - 21y = 20.997 \\ y = - 0.99[/tex]
[tex]y = - 1 \\ x = \frac{17 - y}{9} \\ x = \frac{17 - - 1}{9} = \frac{18}{9} \\ x = 2[/tex]
Determine if the following triangles are similar. Show all work to justify your answer.
If they are similar write the correct similarity statement for the triangles.
Answer:
they are similar
Step-by-step explanation:
1.6/1.2=1.3333
2.8/2.1=1.3333
they are similar as their ratios of the legs are equal
pls answer by step by step
Answer:
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
find the subsets of ( S,Q,L,R)
Answer:
{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}
Simplify 3a²b³x 4a³b
Question from Venn diagram solving... plz solve. Worth 15 points
Answer:
For this type of problem, it is best to use Venn diagrams as shown in the picture. The areas where the circles intersect are the mutual events that occur together. The area where all circles intersect is denoted as x. These are the students who play all sports. Assuming all of the students play sports in the school, all of the numbers in the circles should add up to 405. The remaining area would be the difference. The solution is as follows:
Students who play tennis and hockey: 45 - x
Students who play hockey and softball: 60 - x
Students who play only tennis and softball: 39 - x
Students who only play tennis:
251 - 45 + x - 39 +x -x = x + 167
Students who only play hockey:
157 - x - 45 + x - 60 + x = x + 52
Students who only play softball:
111 - x - 60 + x - 39 + x = x + 12
The sum of all of these should be 405:
45-x+60-x+39-x+x+167+x+52+x+12 = 405
Solving for x,
x = 30
Therefore, there are 30 pupils who play all sports; 15 pupils who play tennis and hockey; 30 pupils who play hockey and softball; 9 pupils who play tennis and softball; 197 pupil who only play tennis; 82 pupils who only play hockey; and 42 pupils who only play softball.
Step-by-step explanation:
Hope this is correct, if it is wrong then please feel free to critique me and I wil correct my mistake(s). I'm sorry in advance if it is incorrect.
PLZZZ HELPP.
Given the following matrices, what is the correct product matrix CD?
А. [21 10]
B. The matrix is undefined.
C. [29 53]
D. [53 29]
Answer:
D
Step-by-step explanation:
you will be multiplying Matrix C with Matrix D so, after using the rule for multiplication of matrices
[ 5x2 +9x4 + 7x1 5x(-4) + 9x0 + 7x7]
[ 10 + 36 + 7 -20 + 0 + 49 ]
[ 53 29]
hope this helps.
Brainly is an awesome app, but there is an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from tutors.
The product of matrices C and D is [53 29]. Therefore, option D is the correct answer.
What is the product of two matrix?The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.
Given that, C=[5 9 7] and D= [tex]\left[\begin{array}{ccc}2&-4\\4&0\\1&7\end{array}\right][/tex]
Here, CD = [5×2+9×4+7×1 5×(-4)+9×0+7×7]
= [10+36+7 -20+49]
= [53 29]
Therefore, option D is the correct answer.
To learn more about the product of matrices visit:
brainly.com/question/24810141.
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The money m (in £) Billy has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £150 a week and pays £42 in tax.
Answer:
m = w - t
£108
Step-by-step explanation:
m = Money Billy has to spend per week :
m = wage, w - tax, t
Hence,
m = w - t
Given;
Wage = £150 ; tax = £42
m = £150 - £42
m = £108
An exam has 20 exercises.For every exercise solved correctly you get 8 points and for every exercise solves wrong are taken off 5 points.Ben had 13 points.How many exercises did he solve?
Answer:
13 exercises
Step-by-step explanation:
The number of exercises in the exam = 20
The points received for questions solved correctly = 8 points
The points taken off for exercises solved wrong = 5 points
The number of points Ben has = 13 points
Let 'c' represent the number of exercises he solved correctly and let 'w' represent the number of exercises he solved wrong, we have;
0 < c + w ≤ 20...(1)
8·c - 5·w = 13...(2)
Given that 5·w has either a 0 or 5 as the unit digit, and x3 = x8 - 5, such as 13 = 18 - 5, we have that the last digit of 8·c is 8, and the last digit of 5·w is 5
The products of 8 with '8' as the unit are, 8 × 6, 8 × 11, and 8 × 16
Therefore, when c = 6, and w = 7, we get;
8 × 6 - 5 × 7 = 13
The number of exercises Ben solved, c + w = 6 + 7 = 13 < 20
When c = 11, we get;
8 × 11 - 5 × 15 = 13
11 + 15 = 26 > 20
The number of exercises Ben solved = 13 exercises
Please help me please
Answer:
21
Step-by-step explanation:
If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.
The ratio of teachers to students at Happy Hill School is 2:29 , which means that for every 2 teachers there are students. There are 7 doctors and 27 nurses at Happy Hill Hospital. The ratio of doctors to nurses is, therefore, 7 7:_.
Four rays come together at a single point. What is the value of the missing angle?
Answer:
? = 140
Step-by-step explanation:
The rays form a circle, which is 360 degrees
90+ 105+25+? = 360
Combine like terms
220+? = 360
? = 360-220
? = 140
which linear function represents a slope of 1/4
Answer:
B
Step-by-step explanation:
The line goes down 1 and right 4.
Answer:
Option 2 represents a slope of 1/4.
Need help on this question asap pleasee
Answer:
15 cm
Step-by-step explanation:
[tex]\frac{12}{24}[/tex] = [tex]\frac{x}{30}[/tex]
cross multiply and solve for x
or just notice that the fraction reduces to 1/2 and 15 is half of 30
the answer is in the picture
Simon and sherry went blueberry simon picked 18.5 pounds and sherry picked 21.84 pounds
Answer:
ok
Step-by-step explanation:
whats the question?
(+58) x (-75) =
I don't understand this! Can someone help me?
Answer:
-4350
Step-by-step explanation:
-((58)x(75))=
-(4350) =
-4350
Proving the Converse of the Parallelogram Side Theorem
GONIN
roce UNO Salam
seat of argam
20N
3.
Nad NL
are atrages
SININ
S.
WONIN
i hope you guys didn't have to suffer thru the rest like I did c,:
here is THE REST OF THE ANSWERS!
Step-by-step explanation:
THE ENTIRE PICTURE ABOVE IS CORRECT, BUT AFTER THAT THE NEXT ANSWERS ARE.....
8. angle LNO is congruent to angle NLM because of CPCTC
9. segment ON is parallel to segment LM because of converse of the alt. int. angles theorem
10. segment LO is parallel to segment MN because of converse of the alt. int. angles theorem
11. LMNO is a parallelogram because of the def. of a parallelogram
I just did all of these on edg. 2022 and they're correct. have a great day/night you guys and good luck!
We will use the converse of alternate interior angles theorem to prove LMNO is a Parallelogram.
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are of equal measure.
The proof is as follows:
Statements Reasons
1) LO ≅ MN Given
2) ON ≅ LM Given
3) LN ≅ LN Reflexive property
4) Δ LON ≅ Δ NML SSS congruency rule
5) ∠ NLO ≅ ∠ LNM CPCTC
and ∠ MLN ≅ ∠ LNO
6) LM ║ ON and LO ║ MN converse of alternate interior angles theorem
7) LMNO is a Parallelogram Property of Parallelogram
For more references on Parallelogram, click;
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Please help ASAP thank you
