Answer:
answer is 9.
Step-by-step explanation:
a+2 ,a+4 ,a+6 and a is an odd number. Now that the given is sum of the sequence is 40. So, a+a+2+a+4+a+6 = 40 Therefore 4a+12 =40 , 4a =28 , a = 7 now the question is second term so it is a+2 =9 answer is 9
Answer:
7,9,11,13
Step-by-step explanation:
LET THE ODD NUMBERS BE
X, X+2 , X + 4 , X+6
X + X +2 + X+ 4 + X + 6 = 40
4X + 12 = 40
X + 3 = 10
X = 7
x + 2 = 7 + 2 = 9 <=== the 2nd number is 9
x + 4 = 7 + 4 = 11
x + 6 = 7 + 6 = 13
Hope this helps!!!
Let's say you have two line segments, AB and CD which bisect each other at point E. Explain why AC = DB.
Answer:
[tex]AC=DB[/tex]
(corresponding parts of congruent triangles are equal)
Step-by-step explanation:
Consider triangles ACE and BDE.
As AB and CD bisect each other at point E,
[tex]AE=BE\\CE=DE[/tex]
As AB and CD intersect each other at point E and vertically opposite angles are equal,
∠AEC = ∠BED
So,
ΔAEC ≅ ΔBED (Using SAS congruence criteria)
(According to SAS congruence criteria, if two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of another triangle then the two triangles are said to be congruent.)
Hence,
[tex]AC=DB[/tex]
(corresponding parts of congruent triangles are equal)
When segments AB and CD bisect each other at point E, the two triangles formed, [tex]\triangle AEC $ and $ \triangle BED[/tex], are congruent to each other SAS Congruence Theorem, therefore, AC = DB.
Recall:
Congruent triangles have equal sides and equal angles that corresponds to each other.Line segments AB bisecting line segment CD at point E will give us the triangles AEC and BED if we join A to C, and B to D.
Thus, the following information can be deduced from the image of both triangles shown in the attachment below:
[tex]EC \cong ED\\\\AE \cong BE[/tex] (congruent segments)
[tex]\angle AEC \cong \angle BED[/tex] (vertical angles)
From the above stated, [tex]\mathbf{\triangle AEC \cong \triangle BED}[/tex] by the SAS Congruence Theorem.
Since both triangles are congruent, all their corresponding sides would be congruent, therefore AC = DB.
In summary, when segments AB and CD bisect each other at point E, the two triangles formed, [tex]\triangle AEC $ and $ \triangle BED[/tex], are congruent to each other SAS Congruence Theorem, therefore, AC = DB.
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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. A. The professor has informed us that 7.93 percent ofher students received grades of A. What is the minimum scoreneeded to receive a grade of A?B. Students who made 57.93 or lower on the exam failedthe course. What percent of students failed the course?C. If 69.5% of the students received grades of C or better, what is the minimum score of those who received C's?
Answer:
88.51
0.085343
67.39
Step-by-step explanation:
Given a normal distribution :
Mean (m) = 73
Standard deviation (s) = 11
Percentage A's = 7.93% = 0.0793
Minimum score needed to receive A :
Using the Z formula
Zscore corresponding to 0.0793 = 1.41
P(x ≥ x) :
Z = (x - m) / s
1.41 = (x - 73) / 11
11* 1.41 = x - 73
15.51 = x - 73
x = 15. 51 + 73
x = 88.51
B. Students who made 57.93 or lower on the exam failedthe course. What percent of students failed the course?
P(x ≤ 57.93)
Z = (x - m) / s
Z = (57.93 - 73) / 11
Z = - 15.07 / 11
Z = - 1.37
P( Z ≤ - 1.37) = 0.085343 ( Z probability calculator)
C.) If 69.5% of the students received grades of C or better, what is the minimum score of those who received C's?
Minimum score of those who received C
Zscore corresponding to 0.695 = -0.51 (Z probability calculator)
Z = (x - m) / s
-0.51 = (x - 73) / 11
11* - 0.51= x - 73
-5.61 = x - 73
x = - 5.61 + 73
x = 67.39
Which number makes the comparison true?
3.706 < ?
A. 3.704
B. 3.710
C. 3.688
D. 3.009
Answer:
B. 3.710
Step-by-step explanation:
This number makes 7.706 smaller
Two numbers are in the ratio 7:5 The difference of the two numbers is 246. Find
the numbers
Answer:
861 : 615
Step-by-step explanation:
7 + 5 = 12
246 ÷ 12 = 123
7 × 123 = 861
5 × 123 = 615
861 -65 = 246
A principal of $4500 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 12 years?
Use the calculator provided and round your answer to the nearest dollar.
The money will be worth 7412 at the end of the 12th year.
What is compound interest?Compound interest is the interest that accrues on a loan or deposit on both the initial interests and principal.
Analysis:
To calculate the amount after 12 years we use the compound interest formula, A = P[tex](1 + \frac{r}{100} )^{n}[/tex]
where A = amount after a period of time, P = initial principal = 4500, r = rate = 4.25, n = number of years = 12.
A = 4500[tex](1 + \frac{4.25}{100} )^{12}[/tex] = 7412
In conclusion, 7412 dollar will be realized at the end of the 12th year.
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Can someone please help, ty!!
(Will mark brainliest)
Answer:
25%
Step-by-step explanation:
Each quartile is 25% of a the whole box plot so it would have to be 25%
which multiplication equation is false
Question:
Where are the equations?
4) Which graph represents a function?
Answer:
C
Step-by-step explanation:
The other graphs do not pass the vertical line test (if you draw a vertical line through the line graphed, it should pass through once), but graph c does pass the test.
A skydiver jumped from a plane at 1000 ft. Ten seconds into the jump she looked at her altimeter and read 800 ft. How far did she fall in one second?
Answer:
she drops at 20 ft per second
Step-by-step explanation:
if she drops 200 ft per 10 seconds, then you would divide 200 by 10 to get 20 ft per second
the figure below is not drawn to scale. ABCD is a square. ACF and DCE are straight lines. Find ECF
Answer:
<ECF = 45 degrees
Step-by-step explanation:
If ABCD is a square, then the diagonal AC divides angle <C and angle <A in two equal parts. Angles A and C are also 90 degrees each due to the act that the figure is a square. Therefore their bisection would render 90/2 = 45 degrees.
Notice as well that angle <ECF is opposite by the vertex to one of these 45 degree angles, and then it must measure the same amount (45 degrees).
So, <ECF = 45 degrees
Find the value of x that makes m|n.
m
(6x + 10)
(2x + 26)
The value of x is ?
Answer:
x is 9
Step-by-step explanation:
6x+10=2x+26
-2x -2x
4x+10=26
+10 +10
4x=36
--- ---
4 4
x=9
Draw a line for each of the scenarios below.
6th grade math I mark as brainliest zoom in if needed
Answer
A. 42 tickets
Explanation
Since everyone must go on the ride together the number of tickets must be a multiple of 8 (since there are 8 people). 42 is the only number that is not a multiple of 8.
3. Estimate:
48
x 38
Answer:
1,824 about 1,820 for an estimate
Step-by-step explanation:
Which of the statements is TRUE?
a. √7 is an integer
b. √16 is an irrational number
c. √25 is a rational number
d. √90 is neither rational nor irrational number
Find the number whose square root lies between 8 and 9? a. 8 b. 9 c. 75 d. 85
Between what two consecutive integers does the square root of 118 lie?
a. 8 & 9 c. 10 & 11
b. 9 & 10 d. 11 & 12
Which of the numbers is classified as perfect square integer?
a. 49 b. 50 c. 63 d. 200
Between what two consecutive integers does the square root of 190 lie?
a. 11 & 12 c. 14 & 15
b. 13 & 14 d. 19 & 20
Which of the following numbers has an irrational square root?
a. 1 b. 81 c. 100 d. 300
Which of the following is NOT a perfect square integer?
a. 121 b. 144 c. 149 d. 169
15. Where does the square root of 30 lie?
a. between 5 & 6 c. before 5
b. beyond 6 d. at 6
Answer: for question one its a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
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Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d=65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
Solution :
Equation for Malcom's family travels after t hours is d = 65 t
From the graph, equation for Theo's family travels after travels after t hours is
[tex]$d=\frac{225}{4.5}t$[/tex]
[tex]$d=50 t$[/tex]
For Malcom's family, speed [tex]$= \frac{d}{t}$[/tex] = 65 miles per hour
For Theo's family, speed [tex]$= \frac{d}{t}$[/tex] = 50 miles per hour
Malcom's family traveled faster than Theo's family by
= (65-50) miles per hour
= 15 miles per hour
Write two mixed numbers that have a sum of 3 4/5.
Answer:
Step-by-step explanation:
1 and 2/5 and 2 and 2/5
A fraction represented with its quotient and remainder is a mixed fraction. 1 2/5 and 2 2/5 are two mixed numbers that have a sum of 3 4/5.
What is Mixed Fraction?
A fraction represented with its quotient and remainder is a mixed fraction.
We need to find the two mixed numbers whose sum is 3 4/5.
The sum of two mixed numbers is 3 4/5 which is also equal to 19/5.
1 2/5+2 2/5
=7/5+12/5
=19/5
Now 3 4/5=19/5
Therefore 1 2/5 and 2 2/5 are two mixed numbers whose sum is 3 4/5
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How many 12 ounces can go into a 10 gallon jug?
Answer: 1280 fluid ounces.
Step-by-step explanation:
Which equation is an identity?
3(x - 1) = x + 2(x + 1) + 1
x-4(x + 1) = -3(x+1)+1
2x+3 = 2(4x+2)+2
1/3(16x - 3) = 3(x + 1) - X-2
Answer: b
Step-by-step explanation: i did that
During a 12-hour period, the temperature in a city dropped from a high of 60°F to a low of -25°F. What was the range of the temperatures (in °F) during this period?
A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 6 inches. A random sample of 46 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean?
Answer:
0.4246
Step-by-step explanation:
Given data:
mean ( u ) = 15 inches
std ( б )= 6 inches
sample size( n ) = 46
ux = mean sample length
Determine the probability that x within 0.5 inch of the claimed population mean
ux = u = 15
бx = б/ √ 46 = 6 /√ 46 = 6 / 6.78 = 0.88
Hence the P( 14.5 < x < 15.5 )
= P ( [14.5 - 15 / 0.88 ] < z < (15.5 - 15) / 0.88) )
= P ( -0.5682 < z < 0.5682 )
= P ( z < 0.5682 ) - P ( z < -0.5682 )
= 0.7123 - 0.2877 ( from Z table )
= 0.4246
25-b2=4b it is quadratic?
We are given the equation:
25 - b² = 4b
it can be simplified into the following:
b² + 4b - 25 = 0
In this simplified equation, we can see that it is very similar to the general form of a quadratic equation [ax² + bx + c = 0]
Therefore, we can say that the given equation is Quadratic
How do you use a protractor
Place the midpoint of the protractor on the VERTEX of the angle.
Line up one side of the angle with the zero line of the protractor (where you see the number 0).
Read the degrees where the other side crosses the number scale.
hoped it helped :)
Solve |5x - 1|= |2x + 5|
Answer:
x=2
Step-by-step explanation:
5x−1=2x+5(Possibility 1)
5x−1−2x=2x+5−2x(Subtract 2x from both sides)
3x−1=5
3x−1+1=5+1(Add 1 to both sides)
3x=6
3x
3
=
6
3
(Divide both sides by 3)
Answer:x1 = - 4/7 x2 = 2
Step-by-step explanation:
The Sweater Shop has a sweater that was original $55. It is now on sale for $32. What is the
decrease percent?
Answer:
52-32
Step-by-step explanation:
Two elves can make 5 toys in 10 minutes How many toys can 4 epves make in 30 minutes?
Answer:
30!
Step-by-step explanation:
If two elves make 5 toys per 10 minutes, then four elves would make 10 toys per 10 minutes!
3x10=30
Can You Solve This?
6 = 2(1+2) =
= X
you trying to say the 6÷2(1+2)?
Because the answer is 9.. I guess-
Write A Hypothesis
Problem: In a recent poll, the CW estimated that about 25% of viewers watch Legends of Tomorrow weekly. February 25, 2016 is the crossover with the 2046 version of Arrow. The CW conducts a new random survey of 350 viewers and finds that 102 now plan to watch that episode. Does this provide strong evidence that having Arrow on Legends of Tomorrow increased viewership?
Answer: H0:p= 0.25, the proportion of viewers that watch Legends of Tomorrow weekly.Alternative Hypothesis:Ha:p > 0.25, the proportion of viewers that watch Legends of Tomorrow is greater than 25%.
Answer:
probably arrow is the best show on the cw leaving the legends tomorrow as the worst in the arrowverse
Step-by-step explanation:
What is the value of t?
3.5 (t + 6) = 7
o t= -4
Ot= -0.25
O t = 0.25
O t = 4
Answer:
t=-4
Step-by-step explanation:
t+6=7/3.5
t+6=70/35 (I expanded 7/3.5 by multiplying both numerator and the denominator by 10)
t+6=2 (I divided 70 by 35 to get 2)
t=2-6
t=-4
Answer:
t=-4
Step-by-step explanation:
i took the test on k12
Please help me thank you.
Answer: yeah I need this too
Step-by-step explanation: