Final answer:
To find the value of x for the given sequence, we must ensure the median remains 14. Since the median is the average of the third and fourth numbers in an ordered list of six numbers, x must be 16 because 9, 10, 12, 16, 20, 25 gives us a median of 14 (12 + 16 = 28; 28 / 2 = 14).
Explanation:
The student is asking to find the value of x in a sequence of numbers given that the median is 14. First, we place all the numbers in order: 9, 10, 12, x, 20, 25. Since there are six numbers, the median will be the average of the third and fourth numbers.
To have a median of 14, the sum of the third and fourth numbers must be 28 (since 14 = (third number + fourth number) / 2). Therefore, if the third number is 12, x must be 16 because 12 + 16 = 28.
The value of x that makes the median of the set equal to 14 is 16.
Pleeeaase can u helppp meee thanks will mark brainliest!!
Answer:
140 cubic cm
Step-by-step explanation:
v=1/3 bh
b=1/2(3) (5) (4)=60
b=1/2(60)=30
v=1/3(60)7=420
420/3=140
hope this helps
The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?
Answer:
A summary of the data is as follows;
1. Maximum = 34
2. Minimum = 24
3. The 1st quartile is 27
4. The median is or the 2nd quartile 34
5. The 3rd quartile is 33
The data is summarized in the attached box plot
Step-by-step explanation:
24, 25, 29, 30, 31, 31, 32, 34, 34
From the given data, we have the five values of a box and whisker plot as follows;
1. Maximum = 34
2. Minimum = 24
3. The 1st quartile is the [tex]\frac{9 + 1}{4} th[/tex] term or 27
4. The median (2nd quartile) is the [tex]\frac{9 + 1}{2} th[/tex] term or 34
5. The 3rd quartile is the [tex]\frac{3(9 + 1)}{4} th[/tex] term or 33
Hence the attached box plot summarizes the data.
Answer: C
Step-by-step explanation:
A movie theater has a seating capacity of 315. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2280, How many children, students, and adults attended?
Answer:
84 students
Step-by-step explanation:
Let x be the number of adults.
Then the number of children is 2x, according to the condition,
and the number of students is the rest (315-x-2x) = (315-3x).
The "money" equation (the revenue equation) is
12x + 5x(2x) + 7x(315-3x) = 2282.
12x + 10x + 7x315 - 21x = 2282
x = 2282 - 7x315 = 77 is the number of adults.
77 adults :2 x 77 = 154 children and the rest (315-77-154) = 84 students.
Judith went shopping with $50 and spent $45. What percentage of her money did she spend
Answer:
90%
Step-by-step explanation:
Answer:
90%
Step-by-step explanation:
To determine what percentage of money she spent, you would divide the amount she spent by the total amount she had.
$45 ÷ $50 = 0.9
You would then multiply the decimal times 100 to convert the decimal to a percentage.
0.9 · 100 = 90
What is the sale price of a $15 shirt that is 20% off? (round to the nearest cent)
Answer:
12
Step-by-step explanation:
sale price is (100-20)% of 15 = 80/100 * 15 = 12
A total of 503 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
225 adult tickets were sold
To determine the number of adult tickets sold for the school play, we set up an equation with the variable representing adult tickets, and considered that there were 53 more student tickets sold than adult tickets. Solving the equation given the total number of tickets (503), we found that 225 adult tickets were sold.
The question is asking us to find out how many adult tickets were sold for the school play when given the total number of tickets and the information that there were 53 more student tickets sold than adult tickets. To do this, we'll let the number of adult tickets be represented by x and the number of student tickets be x + 53, as there were 53 more student tickets than adult tickets.
The total number of tickets sold is 503, which is the sum of adult tickets and student tickets. So, x (adult tickets) + (x + 53) (student tickets) = 503. Combining like terms, we get 2x + 53 = 503. Subtracting 53 from both sides, we have 2x = 450. Dividing both sides by 2 gives us x = 225. Therefore, 225 adult tickets were sold.
If 2 is equal to 156°, what is the measure of 3?
Answer:
3 = 234
Step-by-step explanation:
156 ÷ 2 = 78 so then 156 + 78 = 234
Please mark Brainliest :)
Sam is 18 and Bill is 24. how many years ago was Bill three times as old as sam
Answer:
15 years ago
Step-by-step explanation:
So it was when Sam was x=3 years old and Bill was 3x=9 years old that Bill was 3 times as old as Sam. And since their ages are now 18 and 24, that was 15 years ago.
Answer:
The answer is 15 years
Step-by-step explanation:
The solution of the equation 3(x + 3) = 12 is ?
Step-by-step explanation:
Hello there!
Solve for x using the distruibutive property:
3(x+3)=12
3x+9=12
3x=3
x=1
:)
Answer:
x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
3x=3
x=1
Tomas brought $32.00 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 4 as much as the sketchbook, and the sketchbook cost 2 3 the cost of the paint set. Tomas had $4.50 left over after buying these items.
Answer:
The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.
Step-by-step explanation:
Let the price of the brush be b.
Let the price of the sketchbook be s.
Let the price of the paint set be p.
The brush was 1/4 as much as the sketchbook. This means that:
b = 1/4 * s = s/4_______________(1)
The sketchbook was 2/3 the cost of the paint set. This means that:
s = 2/3 * p
=> p = 3s/2 __________________(2)
Initially, he had $32.00 and after buying all the items, he had $4.50 left with him. This means that:
b + s + p + 4.50 = 32.00 ___________(3)
Put (1) and (2) in (3):
=> s/4 + s + 3s/2 + 4.50 = 32.00
Collect like terms and simplify:
11s/4 = 32.00 - 4.50 = 27.5
=> s = (27.5 * 4) / 11
s = $10
Put this back in (1) and (2):
b = 10 / 4 = $2.5
and
p = (3 * 10) / 2 = $15
The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.
Answer:
I want to delete my answer because the one already answered is correct.
Find the equation of the line described below. Write the equation in slope-intercept form, if possible, and graph the line. Contains (1,2) slope=3
Answer:
The equation of the line is y = 3x - 1
Step-by-step explanation:
In this question, we are asked to write the equation of the line using a point on the line and the slope of the line.
Mathematically, the slope-intercept form of a line can be written as;
y = mx + c
where m is the slope of the line and c is the y-intercept of the line. Now back to the question, we can see that we have all that is required for the line asides the value of the y-intercept C
To get this, we plug the values in the question into the equation of the straight line.
Here, we say y = 2, x = 1 and m = 3
2 = 3(1) + c
c = 2-3
c = -1
Thus, the equation of the line is y = 3x - 1
A rectangle has a height of x and a width of 7x-4 what is the area
Answer:
Step-by-step explanation:
Answer:
(7x² - 4x) unit²
Step-by-step explanation:
Area of rectangle = width × height
Width = 7x - 4
Height = x
Area = x ( 7x - 4)
Area = (7x² - 4x) unit²
What is the surface area of the pyramid?
A 160
B 188
C 224
D 256
PLEASE HELP ASAP
Answer:
160
Step-by-step explanation:
one of the triangle faces:
4 × 6 = 24cm^2
theres 4 triangle faces so 24 × 4 = 96 cm^2
then u have to add on the square face which is 8×8 =64cm^2
total:
64 + 96 = 160cm^2
Answer:
A your welcome
Step-by-step explanation:
IF U SMART I WANNA SEE U ANSWER THIS Q! 11ponits?
Answer is 1.6 pounds
.02 is not big enough to round up, so round down
A 4-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the cell phone tower
Answer:
Because we are dealing with both feet and inches, and your question didn't state if it was to be rounded, I got 301.2 feet.
Step-by-step explanation:
(4/1.66)=(x/125)
solve for X
X≈301.2
Which number is greater: 1/4 or 5/4 ?
Answer:
1/4 < 5/4
Step-by-step explanation:
Since the numbers have the same denominator, we compare the numerators
1 < 5
so 1/4 < 5/4
Answer:
5/4
Step-by-step explanation:
Hello there!
Since each number is given in terms of 4ths, we can look at which has more 1/4 that comprises it.
5>1, so 5/4 is greater.
:)
If x is the number of questions Desiree answered correctly, then the equation that represents the given situation is and the equation will have .
10x + 9y = -17
10x – 2y = 16
what is the solution
Answer:
x = 1 and y = -3
Step-by-step explanation:
Subtract eqn 1 from eqn 2
11y = - 33
y = -3
Substituting y into eqn 2...
10x - 2(-3) = 16
10x +6 = 16
10x = 10
x = 1
The solution to the system of equations 10x + 9y = -17 and 10x - 2y = 16 is x = 1 and y = -3. This solution was found using the elimination method, which involved manipulating the equations to eliminate one variable and then solving for the other.
Explanation:The question is related to the system of linear equations. A set of linear equations with the same variables is known as a system of equations. Here we have two equations; 10x + 9y = -17 and 10x - 2y = 16. The solution to this system of equations is the ordered pair (x, y) that satisfies both equations. We can find this by using the method of substitution or elimination.
Here's the solution using the elimination method:
First multiply the second equation by 9 and the first one by 2.You will get:So, the solution for the system of equations is x = 1 and y = -3.
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you need to make p loaves of bread each loaf requires 355 grams of flour you already have 115 grams at home choose the expression you need to buy
Gomer stores his Iguana Food IN A CAN that is 8 inches tall and
has a diameter of 3 inches. What is the volume of the Iguana Food
can?
Find the sum of the first 7 terms of the following series, to the nearest integer.
15,3, 3/5
Answer:
19
Step-by-step explanation:
This is a geometric series.
15, 3, (3/5), ...
common ratio r = 3/15 = (1/5)
a_1 = 15
Formula for nth term: a_n = a_1 * r^(n-1)
a_n = 15 *(1/5)^(n - 1)
We want the sum of the first 7 terms.
S = a_1 * ( r^n - 1) / (r - 1)
here let n = 7
S = 15 * ( (1/5)^7 - 1 ) / ( (1/5) - 1)
S = 15 * ( (1/5)^7 - 1) / (-4/5)
S = 15 * (5/-4) * ( (1/5)^7 - 1)
S = ( -75/4 )* (-0.9999872)
S = - (-18.74976) = 18.749...
The sum is about 19
The sum of the first 7 terms of the following series is 18.74.
What is a geometric sequence?'A geometric sequence is a sequence where every term has a constant ratio to its preceding term. A geometric sequence with the first term a and the common ratio r and has a finite number of terms.'
According to the given problem,
Sequence = { 15, 3, [tex]\frac{3}{5}[/tex] }
Let the common ratio be r,
Let the first term of the sequence be a,
⇒ a × r = second term
⇒ 15 × r = 3
⇒ r = [tex]\frac{3}{15}[/tex]
⇒ r = [tex]\frac{1}{5}[/tex]
We know,
Sum of n number of terms in a geometric sequence can be represented by,
[tex]S_{n} = \frac{a(1-r^{7}) }{1-r}[/tex]
⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7} ) }{1-\frac{1}{5} }[/tex]
⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7}) }{\frac{4}{5} }[/tex]
⇒ [tex]S_{7}= \frac{5*15(1-(\frac{1}{5})^{7} ) }{4}[/tex]
⇒ [tex]S_{7}= \frac{125(0.999)}{4}[/tex]
⇒ [tex]S_{7}=\frac{74}{4}[/tex]
⇒ [tex]S_{7} = 18.74[/tex]
Hence, we can conclude, the sum of the first 7 terms of the geometric sequence is 18.74.
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The histogram shows the number of payphones that were active by year in a large city. How many payphones would you expect to be active between 1976 and 1980?
Answer:
It is the second one
Step-by-step explanation:
Hope it helps and rate my answer
;);)
Answer:
between 150 and 200
Step-by-step explanation:
corect on edge
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 640 randomly selected adults showed that 99.2% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim.
Answer:
Given:
Sample size, n = 640
Since result showed that 99.2% of them would erase all of their personal information online if they could, we have:
P' = 99.2% = 0.992
Let's take p = 50%
Our null and alternative hypothesis will be :
H0 : u = 0.5
H1 : u > 0.5
In this case we are to check for the test statistic.
[tex] \frac{P' - p}{\sqrt{p(1-p)/n}} [/tex]
[tex] = \frac{0.992 - 50}{\sqrt{50(1-50)/640}} [/tex]
= 24.9
Test statistic, Z = 24.893
In conclusion, the results are significantly high, which suggets there is suffcient evidence to support the claim that most adults would erase all of their personal information online.
Could you please answer this question?
Only answer question 26
The answers are: x = 5 y = -2
Please use the elimination method to answer this question
Answer:
.
Step-by-step explanation:
3x - y = 17 .......A
10 × [x/5 + y/2] = 10 × 0
2x + 5y = 0 .......B
......A× 5 both 2 sides of equation
15x - 5y = 85 .....C
......B + ........C
2x + 15x = 0 + 85
17x = 85
x = 85/17
x = 5
put x value in ........A or .......B or ......C
you will receive y = -2
Pls help I really need it I been staring at this for a hour pls help there’s a chance I might give Brainlest
Answer:
the area is 146 mi^2 and the perimeter is 54
Step-by-step explanation:
Answer
perimeter = 44 mi
area = 146 mi²
Step by step
perimeter = 9 mi + 10 mi + 2 mi + 8 mi + 7 mi + 18 mi
perimeter = 44 mi
area = (2 × 10) + (7 × 18)
area = 20 + 126
area = 146 mi²
What is the measure of arc ABC?
Answer:
BA=180°
C=70°
180° - 70° = 110°
Step-by-step explanation:
Surface area of a triangular prism
Answer:
96
Step-by-step explanation:
Answer: You need to use the formula to solve this equation
step-by-step explanation:
Area of a triangle= A = 1/2bh
Area of a rectangle= A = lw
Surface area of triangular prism= SA = bh + (s1 + s2 + s3)H
Use that formula to solve the problem.
I hope this helps
If you need more add my s n a p (i'll put it in the comments section) and send a picture of your work and i'll helpLatoya performs an experiment using the lab equipment shown.
Which two properties is Latoya most likely measuring?
mass and volume
volume and temperature
temperature and length
length and mass
Answer
B volume and temp
Step-by-step explanation:
The cup is telling you the volume in the cup and the temp stick thing is telling you temp. Hope this helped
Answer:
B
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
27
Step-by-step explanation:
Answer:
(B+b)xh/2 = formula for the area of the trapeze
so (9+3)x3/2= 12x3/2 = 6x3 = 18
A triangle has angle measurements of 87 degrees and 32 degrees. What is the measurement of the third angle?
a
119 degrees
b
63 degrees
c
180 degrees
d
61 degrees
Answer:
61 degrees
Step-by-step explanation:
a triangle measures 180 degrees
so your going to add 87 and 32 which gives us 119
since a triangle measures 180 degrees u you are going to subtract 119 from 180 which gives us 61 degrees
Answer:
its 61 on edg
Step-by-step explanation:
i took the test and got a 93.2%