Given:
The shopping time of a sample of 19 shoppers are,
27,29,39,36,32,35,28,24,41,25,22,44,47,42,43,38,31,34,40.
The objective is to create a histogram for these data.
Explanation:
The range for histogram is given as, 20-26, 27-33, 34-40, 41-47.
The samples presents in these range are,
\(\begin{gathered} 20-26=22,,24,25 \\ 27-33=27,28,29,31,32 \\ 34-40=34,35,36,38,39,40, \\ 41-47=41,42,43,44,47 \end{gathered}\)Frequency table:
The frequency table for the 4 classes are,
Plot the histogram:
The histogram for the 4 classes are,
Hence, the required histogram is obtained.
Which point lies inside the circle with equation (x − 2)2 + (y + 3)2 = 4? a(0, −3) b (2, 0) c (2, −5) d(2, −4)
Answer:
d. (2, -4)
Step-by-step explanation:
The equation describes a circle centered at (2, -3) with a radius of 2.
Any points with an x-coordinate of 2 must have a y-coordinate in the interval -3±2 = (-1, -5) to be inside the circle. One such point is ...
(2, -4) . . . . choice D
__
The attached graph shows the locations of the answer choices.
(15 points) please please help me
Answer:
Well 30 minutes as seconds is 1800 already so it would be 10,800 seconds
Step-by-step explanation:
i hope this helps you
Help needed with this as soon as possible
Answer:
1
Step-by-step explanation:
g(-3)=-2(-3)²+3(-3)
=-18-9
=-27
What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?
Answer:
V =704 m^3
Step-by-step explanation:
Remark
The Volume of a cubical Prism = Length * Width * Height of L * w * h
Givens
L = 22 meters
w = 4 meters
h = 8 meters
Solution
V = L * w * h
V = 22 * 4 * 8
V = 704 m^3
What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?
Explanation -:In this question we are provided with the length, breadth and height of a rectangular prism. We are asked to calculate the volume of the rectangular prism.
We know,
\( \star \: \small\boxed{ \rm{ Volume_{(rectangular \: prism)} = L×B×H}}\)
Where,
L stand for LengthB stand for BreadthH stand for HeightSubstituting the values we get
\( \small\sf{ Volume_{(rectangular \: prism)} = 22×4×8 = 704 m³}\)
Hence, the volume of the rectangular prism is 704 m³.
Which answers describe the shape below? Check all that apply.
31
A
A. Quadrilateral
B. Rhombus
C. Trapezoid
D. Parallelogram
E. Rectangle
F. Square
Answer:
A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.
Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
\(\displaystyle{f(x)=3^x-5}\)
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
\(\displaystyle{f(x)=3^x-5}\)
or A choice.
What is the volume of the following rectangular prism? 3 1/3 1 2/5
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
Find the missing dimensions of each figure. Round your answer to the nearest tenth. PLEASE HELP
answer is : r=1.6 in since the volume of cylinder is :
\(\pi {r}^{2} h\)
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
On a placement examination, Rick scored lower than 1192 of the 12,790 students who took the exam. Find the percentile, rounded to the nearest percent, for Rick's score.
Rick's score is higher than 91% of the other students.
Given that on a placement examination, Rick scored lower than 1192 of the 12,790 students who took the exam, to find the percentile, rounded to the nearest percent, for Rick's score, the following calculation must be performed:
12790 - 1192 = 11598 12790 = 100 11598 = X 11598 x 100/12790 = X 1159800/12790 = X 90.68 = X
Therefore, Rick's score is higher than 91% of the other students.
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PLEASE HELPPPPP THIS IS DUE IN 5 MINUTES!!!! I WILL MARK YOU AS BRAINLIEST!!!
A group of five friends went to a Colts football game. They each purchased a ticket, popcorn, and a drink. ✔ One football ticket (t) cost $5.50, ✔ one popcorn (p) cost $10.75 and ✔ a drink (d) cost $9.33 How much did the five friends spend in all? The total spent by all five friends was $
.
Answer:
$25.58 total dollars
Step-by-step explanation:
add 5.50 + 10.75 which equals 16.25 then add 9.33 on to 16.25 and you should get your answer.
QUICK ANSWER WILL GIVE BRAINLIEST AND 100 POINTS:
Explain the following in complete sentences:
How is the base of a rectangular pyramid related to the lateral faces?
Answer:
the base of a lateral pyramid is related to lateral faces because though it is not a lateral face itself is connected to the sides of the pyramid and the side of the pyramid is connected to the vertex of the shape
Step-by-step explanation:
the base of a lateral pyramid is related to lateral faces because though it is not a lateral face itself is connected to the sides of the pyramid and the side of the pyramid is connected to the vertex of the shape
Answer:
The net of a triangular pyramid with an equilateral triangle for the base consists of four triangles, and at least three are congruent.
Step-by-step explanation:
I just got born again I'm a Christian
What is the volume of the triangular prism?
please help!! quickly its a test a look at the picture
7th grade math
Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be
37.5 centimeters. How wide will the enlarged picture be?
O a
38.8 cm
Ob
37 cm
ос
93.75 cm
Od
36.25 cm
Answer:
The enlarged picture will have a width of 35.8 cm
Step-by-step explanation:
We can solve this question by proportions, using rule of three.
When the length is of 15 centimeters, the width will be of 14.5 centimeters. What is the width when the length is 37 centimeters?
15 cm - 14.5 cm
37 cm - x
Applying cross multiplication
\(15x = 14.5*37\)
\(x = \frac{14.5*37}{15}\)
\(x = 35.8\)
The enlarged picture will have a width of 35.8 cm
Answer:
36.25 cm
Step-by-step explanation:
37.5 divided by 15 is 2.5 then multiply 14.5 by 2.5 and your answer will be 36.25 cm.
I hope this helps the last answer you got was close but incorrect. I really hope I get brainlyiest. :)
An entrepreneur invests in a new play. The cost includes an overhead of $33,750 plus production costs of $1700 per performance. A sold-out performance brings in $2325 . Assume every performance is sold out, and let x represent the number of sold-out performances.
The entrepreneur's revenue is $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is $625x - $33,750
The entrepreneur's revenue from x sold-out performances is given by the formula:
Revenue = (Price per Performance) x (Number of Performances)
Revenue = $2325 x x
Revenue = $2325x
The entrepreneur's cost from x sold-out performances is given by the formula:
Cost = Overhead + (Production Cost per Performance) x (Number of Performances)
Cost = $33,750 + $1700x
The entrepreneur's profit from x sold-out performances is the revenue minus the cost:
Profit = Revenue - Cost
Profit = $2325x - ($33,750 + $1700x)
Profit = $625x - $33,750
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jbv vh vhvbdhvbdhvbdv dvhdvdvhdjvdvDVdvdvfvfv chjdbcjhdVCHVdc
Answer:
yes
Step-by-step explanation:
Jim purchased a hat for $21.60 and a pair of gloves for $16.80. He received a discount of 20% and paid 8% for sales tax. What was the total price?
3) The length of JM is 9x + 6 units, the length of JK is
5x and the length of KM is 3x +12 units. Find the
Length of JM
J
K
L
M
8
Answer:
\( JM = 60 units \)
Step-by-step explanation:
Given:
\( JM = 9x + 6 \)
\( JK = 5x \)
\( KM = 3x + 12 \)
\( JK + KM = JM \) (segment addition postulate)
\( (5x) + (3x + 12) = (9x + 6) \) (substitution)
Solve for x
\( 5x + 3x + 12 = 9x + 6 \)
Collect like terms
\( 5x + 3x - 9x = -12 + 6 \)
\( -x = -6 \)
Divide both sides by -1
\( x = 6 \)
\( JM = 9x + 6 \)
Plug in the value of x
\( JM = 9(6) + 6 \)
\( JM = 54 + 6 \)
\( JM = 60 units \)
A football team has a net yardage of -33 - yards on a series of plays. The team needs a net yardage of 10
yards to get a first down. How many yards do they have to get on their next play to get a first down?
Answer: Assuming that it's 4th down the team would need 43 yards to get a net yardage of 10
Step-by-step explanation:
A man starts at a point A and walks 18 feet north. He then turns and walks due east at 18 feet per second. If a searchlight placed at A follows him, at what rate is the light turning 3 seconds after he started walking east
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
At 1/10 per second is the rate when the light turns 3 seconds after he started walking east.
It is given that a man starts at point A and walks 18 feet north. He then turns and walks due east at 18 feet per second.
It is required to find at what rate is the light turning 3 seconds after he started walking east.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
The \(\rm tan\theta\) is the ratio of the perpendicular to the base.
When he started walking eastward direction, the searchlight makes an angle \(\theta\)
Let the distance is x
And the \(\rm tan\theta = \frac{x}{18}\)
After performing the derivate with respect to time, we get:
\(\rm sec^2\theta\frac{d\theta}{dt} = \frac{1}{18} \frac{dx}{dt}\) ...(1) ( the differentiation of \(\rm tan\theta \ is \ sec^2\theta\\\))
He walking at the rate of 18 ft per second ie.
\(\rm \frac{dx}{dt} = 18\)
After 3 seconds \(\rm Speed=\frac{Distance}{Time}\)
By using speed- time formula we can calculate the distance:
Distance x = 18×3 ⇒ 54 ft.
\(\rm tan\theta = \frac{54}{18}\) ⇒3
We know that:
\(\rm sec^2\theta = 1+tan^2\theta\)
\(\rm sec^2\theta = 1+3^2\\\\\rm sec^2\theta = 10\\\)
Put this value in the (1) equation, we get:
\(\rm 10\frac{d\theta}{dt} = \frac{1}{18} \times18\) ∵ \(\rm (\frac{dx}{dt} =18)\)
\(\rm 10\frac{d\theta}{dt} = 1\\\\\rm \frac{d\theta}{dt} = \frac{1}{10} \\\\\)per second.
Thus, at 1/10 per second what rate is the light turning 3 seconds after he started walking east.
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A man pays a total of 4800 in flat rental for 3 months. Find his monthly rental rate.
Answer:
The man's monthly rental rate is $1600.
Step-by-step explanation:
To figure out the answer to your question, it says to find how much is monthly rental is. So, we can do this by simply dividing the two numbers:
4800 ÷ 3 = $1600
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Which of the following rational functions is graphed below?
A. F(x) =1/(x-4)^2
B. F(X) =1/(x + 4)^2
C. F(X) = 1/4x^2
D. F(x) = 4/x^2
Answer to your question is B. f(x)= 1/(x+4)^2
The equation of the rational function is f(x) = 1/(x + 4)^2
How to determine the graph?From the figure, we have the following property:
Vertical asymptote at;
x = -4
Add 4 to both sides
x + 4 = 0
Square both sides
(x + 4)^2 = 0
The above means that the denominator of the equation of the graph is (x + 4)^2
So, we have:
f(x) = 1/(x + 4)^2
Hence, the equation of the rational function is f(x) = 1/(x + 4)^2
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Complete the proofs using the most appropriate method. Some may require CPCTC.
7. Given: ZBAC = ZEDC, BC = CE
Prove: AABC = ADEC
Find the area of the shape shown below.
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
900 employees had put their names in a lucky draw. When the lucky numbers were drawn. The first draw eliminated 20% of the people, the second draw eliminated 30% of the remaining people and the third draw eliminated exactly one third of the remaining people. How many people were eliminated in the third draw?
Answer: in the third draw 33.33% people eliminated.
Step-by-step explanation:
12. Sasha surveys students from her homeroom about the number of
siblings each student has. The results are 1, 0, 2, 2, 3, 0, 1, 1, 4,
and 5. What is the mode(s) of the data? (CC.6.SP.5c)
C 1
(D) 1 and 2
in
(A) 1.5
B 0 and 2
The calculated value of the mode(s) of the data is (a) 1
How to determine the mode(s) of the data?From the question, we have the following parameters that can be used in our computation:
1, 0, 2, 2, 3, 0, 1, 1, 4, and 5
By definition, the mode of a data is the data that has the highest frequency
Using the above as a guide, we have the following:
The data element 1 has the highest frequency of 3
Other data elements have lesser frequencies
Hence, the mode(s) of the data is (a) 1
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2.8(g − 6) + 1.06 = 6.66
G= ?
Answer:
g = 8
Step-by-step explanation:
Hello!
We can solve for g by isolating the variable.
Solve for g2.8(g - 6) + 1.06 = 6.662.8g -16.8 + 1.06 = 6.66 => Distribute2.8g - 15.74 = 6.66 => Simply LHS2.8g = 22.4 => Add 15.74g = 8 => Divide by 2.8The value of g is 8.
Answer:
\( \sf \: g = 8\)
Step-by-step explanation:
Now we have to,
→ find the required value of g.
The equation is,
→ 2.8(g - 6) + 1.06 = 6.66
Then the value of g will be,
→ 2.8(g - 6) + 1.06 = 6.66
→ 2.8g - 16.8 = 6.66 - 1.06
→ 2.8g - 16.8 = 5.6
→ 2.8g = 5.6 + 16.8
→ g = (22.4)/(2.8)
→ [ g = 8 ]
Hence, the value of g is 8.
Anthony has 46 pieces of gum and eats 2 pieces per day. Javier has 54 pieces of gum and eats 3 pieces of gum each day. In how many days will Anthony and Javier have the same amount of gum?
Answer:
in 9 days
Step-by-step explanation:
..
Can someone help me tysm
Answer:
A) The quotient will be 1 17/22 which means it will be less because when dividing you get 78/44 which is then simplified and turned into a mixed number.
B) He mistake was she did the reciprocal of 13/4 instead of doing it for 11/6. So it should have been 13/4 times 6/11.
C) Correct quotient is 1 17/22 or 39/22
Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P
The total area of the composite figure which has triangle and rectangle is 24.41 square inches
The given composite figure has two triangles and one rectangle
Area of rectangle =length × width
=4.6×3.15
=14.49 square inches
Area of left side triangle, it has base of 3.3 in and height 3.15 inches
Area of triangle = 1/2×3.3×3.15
=5.1975 square inches
Area of triangle on right side
Base = 3 in
Height = 6.3-3.15=3.15 in
Area of triangle = 1/2×3×3.15
=4.725 square inches
Total area = 14.49 + 5.1975 + 4.725
=24.41 square inches
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