Answer:
4,500
Step-by-step explanation:
just cause
Median of the given set of price is $4500
What is median?The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution
Given set of data = $7000, $2000, $9000, $3000, $5000, $4000
Order the values from low to high
$2000, $3000, $4000, $5000, $7000, $9000
Find the middle term
Here number of terms = 6
It is even number
Then find [tex]\frac{n}{2}[/tex] and [tex]\frac{n}{2}+1[/tex] terms
[tex]\frac{n}{2}=\frac{6}{2}=3[/tex]
[tex]\frac{n}{2}+1=3+1=4[/tex]
Median is the mean of the 3rd value and 4th value
Median =[tex]\frac{4000+5000}{2}=4500[/tex]
Hence, the median of the given set of price is $4500
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Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?
Answer:
He would save $4.40
Step-by-step explanation:
And in total he would pay 17.60
Which of these shows the complete factorization of 6x^2y^2-9xy-42
Answer:
3 • (2xy - 7) • (xy + 2)
Step-by-step explanation:
(((2•3x2) • y2) - 9xy) - 42
6x2y2 - 9xy - 42 = 3 • (2x2y2 - 3xy - 14)
The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
The given expression is
[tex]6x^2y^2-9xy-42[/tex]
= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]
The factorized form will be
= [tex]3 (2x^2y^2 - 3xy - 14)[/tex]
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doivhrghfufvh - 10 points!
Answer:
I'm sure it's already all the way simplified since there are no common terms
I could he wrong but I dont think theres anything more you can do since they are all their own different term
Step-by-step explanation:
for example if it was 7x-2x-1 then you would subtract 7x and 2x and then it would come put to be 5x-1
hope this helped at all
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
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Helpppppppp plsss ASAP math look at picture for details
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
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Hannah signs on a $148,500 mortgage at a 4.5% annual interest rate for 20 years. This results in a monthly payment is
$938.48. If only the minimum payment is made in month one, how much of the first payment goes toward reducing her
balance?
First let's find the amount of interest she paid in month 1, then find the amount toward reducing the balance.
Round to the nearest cent.
Answer:
Interest in one month= 556.88
Her balance is reduced by= 381.6
Step-by-step explanation:
Ther *must* be an faster way of symplifying this expression. What could I have done differently?
Answer:
3x4
Step-by-step explanation:
You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12
Are all rectangles and squares are parallelograms ?
Answer:
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
Yes, they are.
Answer:
Yes
Step-by-step explanation:
Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.
Hope it is helpful....Invent measurements that would show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
Answer:
The answer is that when you put the LMN. You can rotate it. Then we know it is similar.
Using the rotation method of the triangle LMN show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
What is the similarity law for triangles?It is necessary to demonstrate compliance with the law to establish that two triangles are identical in both shape and size. The angles that correspond to those sides have the same congruence and the same ratio of sides.
It is given that the two triangles are triangle XYZ and triangle NLM.
Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.
Thus, triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
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The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)
Answer:
H0 : μ = 3.2
H1 : μ > 3.2
1.982
We fail to reject the Null ;
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Step-by-step explanation:
μ = average time taken by the previous contractor. ; μ = 3.2
H0 : μ = 3.2
H1 : μ > 3.2
Sample size, n = 12 ;
X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
xbar = Σx / n = 53.2 / 12 = 4.43
Standard deviation, s ; using a calculator :
s = 2.15
B.)
The test statistic :
(xbar - μ) ÷ (s / sqrt(n))
(4.43 - 3.2) ÷ (2.15 / sqrt(12))
1.23 ÷ 0.62065
= 1.982
C.)
Decision Region :
If Pvalue < α ; Reject the null
α = 0.05
Pvalue :
P(x < 1.982) = 0.9762
0.9762 > 0.05 ; Hence, we fail to reject the Null
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Find the surface area of the rectangular prism be sure to include the correct unit in your answer
Answer:
SA = 292 m²
Step-by-step explanation:
SA = (2x6x8)+(2x7x6) + (2x7x8) = 292 m²
Ryan has 4 rap songs, 8 country songs, and 2 rock songs.  what is the probability of Ryan picking a rock song or a Pop song
Answer:
Step-by-step explanation:
Total songs = 8 + 4 + 2 = 14 songs
number of rock songs = 2
Number of rap songs = 4
Probability of rock songs = 2/14 = 1/7
Probability of rap songs = 4/14 = 2/7
Simplify.
Remove all perfect squares from inside the square root. Assume x is positive.
√ 20x^8
please please help me i’ll give you brainliest
PLEASE HELP:):):):):):):):)
Answer:
[tex]Area = 8[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Determine the area
The shape is a trapezium. So, the area is:
[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]
From the attached,
The height is 2
The parallel sides are: 2 and 6
So, the area is:
[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]
[tex]Area = \frac{1}{2} *8 * 2[/tex]
[tex]Area = 8[/tex]
Hence, the area is 8 units square
In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this
Answer:
Step-by-step explanation:
Time taken to eat 30 hot dogs = 64 seconds
Time taken to eat 1 hot hot dog = 64 ÷ 30
≈ 2 seconds
jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates
Answer:
90
Step-by-step explanation:
how much greater is 620,000 than 62?
Answer:
10,000
Step-by-step explanation:
620,000/62 = 10,000
Which algebraic expression represents the phrase "the quotient of negative eight and the sum of a number and three"
-8
Og+3
8
9+3
-8+g
3
+3
Answer:
[tex]\dfrac{-8}{x+3}[/tex]
Step-by-step explanation:
We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".
Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.
So, we can write it as follows :
[tex]\dfrac{-8}{x+3}[/tex]
Hence, this is the required solution.
Simplify
8(10 m)
80 + m
18 m
80 m
810 m
80m, you kind of distribute so 8 times 10m is 80m
A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-intercept
form?
Answer:
y=6x+9
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
I can't figure this out
9514 1404 393
Answer:
143 in²
Step-by-step explanation:
The figure is dimensioned in such a way that it can be divided easily into three rectangular areas. The top rectangle is 10 in wide and 7 in high. The vertical rectangle below that is 4 in wide and 12 in high, and the square appendage on the right is 5 in square.
Then the total area is the sum of products of length and width:
A = (10 in)(7 in) + (4 in)(12 in) + (5 in)(5 in) = (70 +48 +25) in²
A = 143 in²
The area of the irregular figure is 143 in².
I’m not sure and please explain how you got the answer pleaseee
Answer:
A
Step-by-step explanation:
Because 30+18=48, and 3(10+6)=48
10+6=16
3•16=48
13
What is the inverse of when
15
multiplying fractions?
13
A
15
15
B
13
13
C с
13
15
D
15
Answer:
Step-by-step explanation:
15x13=?
15+15+1=31
so the answer is 31
Evaluate the polynomial for x=1
Answer:
2
Step-by-step explanation:
Hi there,
In order to solve this expression, you need to substitute x for 1.
You will end up with this expression:
3([tex]1^{2}[/tex]) - 2(1) + 1
Now, simplify the expression.
⇒ 3 - 2 + 1
⇒ 1 + 1
⇒ 2
Therefore, the answer when we evaluate the polynomial for x = 1 is 2.
Help me I need this really bad and I need a good grade I’m behind on school
Answer:
If you share 7 apples equally with 3 people, then there are 2 1/3 apples per person.
The number 2 represents the number of whole apples each individual gets.
The denominatior, 3, represents how many times an apple will have to be split to divide equally
The numerator, 1, represents how many 3rds each person gets.
Plz help me the question is in the picture
A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.
9514 1404 393
Answer:
length: 24 ftwidth: 42 ftStep-by-step explanation:
The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...
L(2L -6) = 1008
L² -3L -504 = 0 . . . . . divide by 2, put in standard form
(L -24)(L +21) = 0 . . . . factor
L = 24 . . . . makes the first factor zero
W = 2L -6 = 2(24) -6 = 42
The length of the rectangle is 24 feet; the width is 42 feet.
In the accompanying figure, chords AB and CD of circle O intersect at E. If m AD=100 and m CB=70, what is m AED?
Answer:
85
Step-by-step explanation:
Find the average of 100 and 70 which is 100 + 70 = 170/2 = 85
The value of angle m ∠ AED is,
⇒ m ∠ AED = 85 degree
We have to given that,
In the accompanying figure,
Chords AB and CD of circle O intersect at E.
And, m AD=100 and m CB=70.
Now, By given figure, we get;
⇒ m ∠ AED = (m AD + m CB) / 2
⇒ m ∠ AED = (100 + 70)/2
⇒ m ∠ AED = 170 / 2
⇒ m ∠ AED = 85 degree
Thus, The value of angle m ∠ AED is,
⇒ m ∠ AED = 85 degree
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