Answer:240 square feet
Step-by-step explanation:length of rectangle DMLG
= DM = LG = (25 + 5) = 30 feet
width of rectangle DMLG
= ML = 8 feet
area of rectangle DMLG
= length × width
= 30 × 8
= 240 square feet
Answer: length of rectangle DMLG
= DM = LG = (25 + 5) = 30 feet
width of rectangle DMLG
= ML = 8 feet
area of rectangle DMLG
= length × width
= 30 × 8
= 240 square feet
wish that helped :)
Step-by-step explanation:
What is the approximate area of the circle shown below
Answer:
43 FT^2
Step-by-step explanation:
3.14159265359 x 3.7^2
Pi times the radius squared
How would I write that translation rule (right 2, down 10)
Answer: (2, -10)
Down and left are negative right and up are positive.
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Suppose that a population parameter is 0.3 and many samples are taken from the population. If the size of each sample is 40, what is the standard error of the distribution of sample proportions?
A. 0.095
B. 0.055
C. 0.072
D. 0.032
Answer:
0.072
Step-by-step explanation:
A P E X
Question 1 (10 marks)
Tom is preparing for a 100 meters race competition. During his practice last week, a sample of seven 100
meters races is reviewed, and the finishing times (in seconds) were as below:
13.4
15.6
13.1
14.5
14.2
13.3
15.3
It is reasonable to assume his finishing times are normally distributed.
(a) Construct a 99% confidence interval estimate of his population mean finishing time of 100 meters race.
(b) If the confidence interval estimate of his population mean finishing time of 100 meters is constructed at
95% instead of 99%, would the new confidence interval be (I) wider, (II) narrower, or (III) the same as
the interval constructed at part (a)? (Just state your answer, no calculation is needed in part (b))
Question 2 (20 marks)
A survey was conducted one month ago to review the calories of lunch boxes provided by the supplier "Better
Lunch". In a sample with 300 lunch boxes, there were 273 lunch boxes with calories below 650 and the other
27 lunch boxes with calories above 650. Besides, the mean calories was 550 and standard deviation was 40.
(a) Find the point estimate of the population proportion of lunch boxes provided by "Better Lunch" had
calories above 650.
(b) Calculate the sampling error at 98% confidence level for the estimate of the population proportion of
lunch boxes provided by "Better Lunch" had calories above 650.
(c) Construct a 98% confidence interval estimate of the population proportion of lunch boxes provided by
"Better Lunch" had calories above 650.
(d) "Better Lunch" follows government's suggestions to change the menu in order to reduce the lunch boxes'
calories. Suppose after the menu update, each lunch box's calories can be reduced by 4%. Find the
sample mean and sample standard deviation of calories of the above sample after the change. Hence,
construct a 90% confidence interval estimate of the population mean calories in a lunch box after the
change.
Question A) A 99% confidence interval estimate of his population mean finishing time of 100 meters race is (12.8081,15.5919)
Question B) Option II) narrower is the correct Option.
How to solveLet X be the time required to finish 100 meters race competition with Tom ( in seconds.)
A) A 99% confidence interval estimate of his population mean finishing time of 100 meters race is (12.8081,15.5919)
x = 14.2
s^2= 0.9867
s= 0.9933
t \aplha/2, n-1 = 3.7074
Margin of error= 1.3919
lower bound= 12.8081
upper bound= 15.5919
Read more about 99% confidence interval here:
https://brainly.com/question/17097944
#SPJ1
We can dilate more than one point at a time! P and R will be dilated using C as the center of dilation with a scale factor of 3. Drag P' and R' so that P and R would dilate to each point. HELP PLEASE!
The attached figure shows the location of P' and R' in the figure, after the dilation
What is dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the location of P' and R' in the figure?The figure that completes the question is added as an attachment
From the figure, we have the following parameters
Center of dilation = Point CLength CR = 2.6 unitsLength PR = 5 unitsScale factor of dilation = 3The image of dilation using the above parameters is the scaled factor of the given figure
As a general rule, the following are the properties of a scaled copy of another figure
If the scale factor is greater than 1, the side lengths would be greater than the original figureIf the scale factor is less than 1, the side lengths would be less than the original figureThe angles of both figures are the sameThe side lengths may or may not be whole numbersThe above means that
New lengths = Old lengths * Scale factor
So, we have
P'R' = PR * Scale factor
C'R' = CR * Scale factor
This gives
P'R' = 5 * 3
P'R' = 15
C'R' = 2.6 * 3
C'R' = 7.8
Using the above as a guide, the location of P' and R' are identifies in the figure
Read more about dilation at
https://brainly.com/question/3457976
#SPJ1
eighteen minus the product of 7 and a number, p.
Answer:
Step-by-step explanation:
18 - 7p = ?
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
Learn more on length : https://brainly.com/question/23008020
#SPJ1
Two car services charge different rates. A charges .60 per mile plus 3.00initial charge B charges .75 per mile mile traveled . the situation is modeled bu this system where x is the number of miles traveled and y is the charge for that distance ,in cents. How many miles must each car travel for the charges to be equal and ehat is the charge for that distance
The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.
To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.
Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:
For car service A: y_A = 0.60x + 300 (in cents)
For car service B: y_B = 0.75x (in cents)
To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:
0.60x + 300 = 0.75x
Subtracting 0.60x from both sides:
300 = 0.15x
Dividing both sides by 0.15:
x = 300 / 0.15
x = 2000
Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:
y_A = 0.60(2000) + 300
y_A = 1200 + 300
y_A = 1500 cents or $15.00
So, when each car travels 2000 miles, the charges will be equal at $15.00.
For more questions on distance
https://brainly.com/question/28342342
#SPJ8
What angle corresponds with angle A?
If m
m
the value of x.
Answer:
i dont understand the question
Step-by-step explanation:
Write an expression that is equivalent to the following:
x + x + x + x - 20
Answer:
4x-20
Step-by-step explanation:
If the mean of a normal distribution is 26, what is the median of the distribution? O A. 22 O B. 14 C. 26 D. 18 SUB
Answer:
B
Step-by-step explanation:
26 divides by 2 = 13
13+2=14
Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound. How much did Yasmin pay for the peaches?
O $8.05
O $10.00
O $11.95
$19.50
Answer:
10 x 1.95 = 19.50 so D is your answer, $19.50
if Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound then Yasmin pay $19.50 for the 10 pounds of peaches.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Yasmin buys 10 pounds of peaches
Peaches cost $1.95 per pound
we need to calculate the amount has to pay by Yasmin for the peaches.
1 pound of peaches =$1.95
We need to calculate for 10 pounds.
Use multiplication to find the amount.
10×1.95
$19.5
Hence, if Yasmin buys 10 pounds of peaches. Peaches cost $1.95 per pound then Yasmin pay $19.50 for the 10 pounds of peaches.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
To learn more about Area from the given link
https://brainly.com/question/25292087
#SPJ1
Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
Question 2 of 5
Choose the two graphs that preserve congruence.
Answer:
B.
Step-by-step explanation:
Shapes that are congruent are the exact same shape. This means that their side lengths must be equal as well.
We can see that the pairs of shapes in A, C, and D are either not the same size or not oriented in the same way. Therefore, B is the correct answer.
Answer:
It's B and D.
Step-by-step explanation:
I got it right on the quiz.
28 1/3 mins to run 3 1/3 miles
Write each mixed number as an improper fractions 4 2/7
Answer:
30/7 is the answer yw
Step-by-step explanation:
Graph the image of trapezoid ABCD after a translation 3 units left .
Answer:
A: (-8, -1)
B: (2, -1)
C: (2, 5)
D: (-6, 5)
Step-by-step explanation:
If the trapezoid ABCD was able to translate 3 units to the left, we'll only need to calculate for all the input values!
Trapezoid in present:
A - -5
B - 5
C - 5
D - -3
Now move the units to the left!
Trapezoid in the future:
A - -8
B - 2
C - 2
D - -6
Then add the y values into the units
A: (-8, -1)
B: (2, -1)
C: (2, 5)
D: (-6, 5)
*************************************************
can someone help me on my math pls
Answer:
22
Step-by-step explanation:
Plugging the numbers into the equation, we get 10^2+20^2=c^2
10^2 is 100, and 20^2 is 400
400 + 100 is 500
find the square root of that, which is exactly 22.36068 but the problem says to round to the nearest whole number, so the answer is 22.
Answer:
22 ft
Step-by-step explanation:
a² + b² = c²
10²+20²= c²
c= (square root of) 100+ 400
c= 22.36
An article in The Journal of Data Science [“A Statistical
Analysis of Well Failures in Baltimore County” (2009, Vol. 7,
pp. 111–127)] provided the following table of well failures for
different geological formation groups in Baltimore County
The number of wells in each of the events are:
a. AnB = 482
b. A' = 2651
c. AUB = 3967
d. AnB' = 2711
e. A'nB' = 31'
How did we get the values?a. AnB: There are 3 geological formations with more than 1000 wells: Loch Raven Schist (3733 wells), Mafic (60 wells) and Serpentine (933 wells). Out of these, Loch Raven Schist and Serpentine have failed wells (443 and 39 respectively). So, the number of wells in AnB = 443 + 39 = 482
b. A': There are 3 geological formations with more than 1000 wells, and 3 with less. So, the number of wells in A' = 1685 + 170 + 28 + 309 + 46 + 3 = 2651
c. AUB: There are failed wells in all the geological formations. So, the number of wells in AUB = 1685 + 170 + 28 + 443 + 29 + 309 + 46 + 933 + 39 = 3967
d. AnB': There are 3 geological formations with more than 1000 wells, and 2 with less. Out of the formations with more than 1000 wells, only Mafic has no failed wells. So, the number of wells in AnB' = 60 + 2651 = 2711
e. A'nB': There are 2 geological formations with less than 1000 wells and no failed wells: Granite and Prettyboy Schist. So, the number of wells in A'nB' = 28 + 3 = 31
Therefore, the number of wells in each of the events are:
a. AnB = 482
b. A' = 2651
c. AUB = 3967
d. AnB' = 2711
e. A'nB' = 31
learn more about intersection: https://brainly.com/question/10428039
#SPJ1
Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and also apply the given metamorphoses. The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.
First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4). Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4). Combining these metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can compass a many points and also draw the graph by connecting them.
Let's start with the original graph of f( x) = | x| and apply the metamorphoses
For f( x) x = -3,-2,-1, 0, 1, 2, 3
f( x) = 3, 2, 1, 0, 1, 2, 3 For
g( x) = - f( x 4) x = -7,-6,-5,-4,-3,-2,-1
g( x) = -3,-2,-1, 0,-1,-2,-3
conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
For more questions on graph
https://brainly.com/question/28618196
#SPJ11
Which is the graph of f(x) = 100(0.7)?
Answer:
70; The following graph is simply a horizontal line at the value 70.
Step-by-step explanation:
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge
Tom is applying for a visa. He has to pay £1,700 for the visa as well as a 11% charge on the visa price for an on-the-day service. If Tom has 1 year to save, how much money should he save per month to be able to cover his costs? Round your answer to the nearest £10.
Step-by-step explanation:
this is geometric sequence
G1=Go(1+r)^n
G1=1700(1+11%)^1
G1=1700(1+0.1)
G1=1700*0.1
G1=170 per year
G1=170*12 per month
G1=2040
make the subject x of the formula y = 7x + 4
Answer:
\(x = \frac{y - 4}{7}\)
Step-by-step explanation:
\(y = 7x + 4 \\\\y - 4 = 7x\\\\\frac{y - 4}{7} = \frac{7x}{7}\\ \\ \frac{y - 4}{7} = x\)
Find the value of x. Write your answer in simplest form.
Answer:
\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)
Help me pls kdndkdjdjdndjdjdjdjddndndkddkr
Answer:
0.82z
Step-by-step explanation:
z- 0.18z=
0.82z
Answer:
0.82
Step-by-step explanation:
z=1
1-0.18= 0.82
1= 0.18+0.82
7/5 mile / 2/3 hour worked out please
Steps to solve:
7/5 ÷ 2/3
~Dot
7/5 * 2/3
~Flip
7/5 * 3/2
~Multiply
21/10
Best of Luck!
Answer:
21/10 = 2.1 mile/hour
Step-by-step explanation:
(a/b) ÷ (c/d) = (a*d) ÷ (b*c)
then:
(7/5) ÷ (2/3) = (7*3) ÷ (5*2) = 21/10 mile/hour
Which of the following statements are true of the graph of the function f(x)= (x+5)(x-3).
1.) The graph has a relative minimum
2.)The graph has a relative maximum
3.)The graph has an x-intercept at (5,0)
4.)The graph has an x-intercept at (3,0)
5.)The graph has a y-intercept at (0,-15)
6.) The axis of symmetry is x=-2
Answer:
4 is the correct answer
Step-by-step explanation:
y=(x+5)(x-3)
so x intercept means the value of x when y is zero
0=(x+5)(x-3)
x+5=0 so x=-5
x-3=0 so x=3