The surface area of a similar rectangular-prism-shaped skyscraper that has a scale factor of 1/800 would be equal to 1.7 meter.
The surface area of a rectangular prism.Mathematically, the surface area of a rectangular-prism is given by this formula:
A = 2(wl + hl + hw)
Where:
A is the surface area.l is the length.w is the width.h is the height.Given the following data:
Surface area of rectangular prism = 1,115,000 m²
Scale factor = 1/800
The length, height and width of the similar model would be 1/800 the original rectangular-prism-shaped skyscraper.
Substituting the given parameters into the formula, we have;
Surface area = 1,115,000 × 1/800 × 1/800
Surface area = 1.7 meter.
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Convert 37 liters to milliliters. Choose the words and numbers to complete the statements.
A liter is a
Choose...
unit than a milliliter, so
Choose...
the number of liters by
Choose...
to find the number of milliliters. Therefore, 37 liters is equal to
Choose...
milliliters.
Answer:
37,000 milliliters = 37 liters
Step-by-step explanation:
A Litre is a
1,000
unit greater than a milliliter, so
multiply
the number of liters by
1,000
to find the number of milliliter. Therefore, 37 liters is equal to
37,000
milliliters
Four students found the mean of the data set 26, 31, 39, 30, 16, 16, 18, 38. which student found the correct mean? ashrita’s work: startfraction 26 31 39 30 16 16 18 38 over 8 endfraction = startfraction 214 over 8 endfraction = 26.75 collette’s work: startfraction 26 38 over 2 endfraction = startfraction 64 over 2 endfraction = 32 daniel’s work: startfraction 26 31 39 30 18 38 over 7 endfraction = startfraction 198 over 7 endfraction = 28.29 lora’s work: startfraction 30 16 over 2 endfraction = startfraction 46 over 2 endfraction = 23
In calculating the mean of this data set Ashrita did the best job.
The Mean of the data set is the most commonly used measures of central tendency.
It means the average value of the data set.
one doesn't have to arrange the data in order for finding it.
What is the meaning of mean?The data set value takes is to add them all together and divide that by the number of the data.
It can be written as
[tex],(x_1 + x_2 + x_3 + ..... + x_n) / n[/tex]
Where [tex]x_1 , x_2 , x_3 , ..... ,x_n[/tex]are the values in the data set
Therefore we can conclude that Ashrita did the best job in calculating the mean of this data set.
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Consider the line y=-7x+8. -- Find the equation of the line that is perpendicular to this line and passes through the point (8. -3). Find the equation of the line that is parallel to this line and passes through the point (8. –3).
Equation of perpendicular line:
Equation of parallel line:
Answer:
Step-by-step explanation:
Perpendicular formula
m1 * m2 = - 1
Givens
m1 = - 7
m2 = ??
Solution
-7 * m2 = -1
m2 = 1/7
y = 1/7 x + b
x = 8
y = -3 Substitute these values into y = 1/7 x + b
-3 = (1/7)*8 + b
-3 = 8/7 + b Subtract 8/7 from both sides
-3 - 8/7 = b
-4 1/7 = b
Answer (perpendicular line) y = (1/7) x - 4 1/7 or
Answer (perpendicular line) y = (1/7) x - 4.14
Parallel line
Nothing changes except you have a different y intercept.
y = -7x + b
x = 8
y = -3 Substitute these values into y = -7x + b
-3 = -7*8 + b
-3 = - 56 + b
-3 + 56 = b
b = 53
Equation Parallel line: y = -7x + 53
A jar of peanut butter is in the shape of a cylinder. The jar has a radius of 4 centimeters. It is filled with peanut butter to an inside height of 12 centimeters.
Answer:
602.88
Step-by-step explanation:
Formula for area is r²
4² is 16
16*3.14 = 50.24
50.24 × 12 = 602.88
Brainliest please?
Answer:
To find how much peanut butter is in this jar, we use the formula for the volume of a cylinder.
(formula for vol. of cylinder)
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and lastly 'h' stands for the height.
We are given the dimensions of:
Radius = 4 centimetresHeight = 12 centimetresThis is all the information we need to fulfill the equation to this formula(volume of cylinder).
Plug in what you know:-
V = π[tex]r^{2}[/tex]h
(For 'pi' I'll be using 3.14 instead of 22/7)
V = 3.14(4^2) · 12 ← (The symbol ' ^ ' means to the power of.)
V = 3.14(16) · 12
V = 50.24 · 12
V = 602.88, 602.88 centimetres is the volume for this jar.
PLS HELP 30 PTS Sue and Kiana each recorded the number of computers they fixed everyday for 15 days. These line plots represent the data recorded.
Classify each statement by selecting true or false.
True False
The centers of the data sets are approximately equal.
True – The centers of the data sets are approximately equal.
False – The centers of the data sets are approximately equal.
The degree overlap is high.
True – The degree overlap is high.
False – The degree overlap is high.
The spreads of the data sets have overlaps.
True – The spreads of the data sets have overlaps.
False – The spreads of the data sets have overlaps.
Two line plots with the same scale and interval, extending from zero to ten, with tick marks every one unit. The plots are stacked vertically for comparison. Each plot has fourteen data values, which are plotted as follows. In upper plot, one value is plotted at point two on the line, one value at point three, two values at four, four values at five, three values at six, two values at seven, and one value at eight. In lower plot, one value is plotted at point three, two values at four, four values at five, three values at six, three values at seven, and one value at eight
Answer:
Step-by-step explanation:
1st one false 2 one false the third one true
The length of the hypotenuse, line segment ac, in right triangle abc is 25 cm. the length of line segment bc is 15 cm. which is the approximate measure of angle acb? 31.0° 36.9° 53.1° 59.0°
The approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.
What is right angle triangle property?In a right angle triangle, ratio of the adjacent side to the hypotenuse side is equal to the cosine angle between them.
[tex]\cos\theta=\dfrac{b}{c}[/tex]
Here, (a) is the adjacent side, (c) is the hypotenuse side and θ is the angle made between them.
The right triangle abc is given, in which,
The length of the hypotenuse, line segment ac, in right triangle abc is 25 cm. The length of line segment bc is 15 cm.According to the right angle triangle property,
[tex]\cos(acb)=\dfrac{bc}{ac}\\\cos(acb)=\dfrac{15}{25}\\\angle acb=\cos^{-1}(0.6)\\\angle acb=53.1^o[/tex]
Hence, the approximate measure of angle acb in right triangle abc in which the length of the hypotenuse, line segment ac is 25 cm is 53.1 degrees.
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Answer:
53.1 degrees.
Step-by-step explanation:
PLEASE HELP WILL GIVE 100 POINTS !!!!!!!!!!!!!!!!!!!!!!!!!whats 2+2
Answer:
158
Step-by-step explanation:
I'm pretty sure it's this. I know it's either this or 4, but this is more likely
Answer:
The answer is 4
Step-by-step explanation:
2+2=4. Brainly patrol, stop deleting my answer!
Help help help help help
Answer:
Give your laptop to me I repair it
find the sixth term in the sequence 5, 20, 80…
Answer:
5120
Step-by-step explanation:
The sequence here is multiplying the previous value by 4. Following this sequence, we get the fourth value is 320, the fifth is 1280, and the sixth is 5120
You live in New York and travel by express subway to work 5 times a week for a cost of $9.75
each day. You can get an unlimited week pass for $25. How much can you save by buying
the pass?
O $16.00
O $25.00
O $48.75
O $23.75
Which is a solution to (x – 3)(x 9) = –27? x = –9 x = –3 x = 0 x = 6
The solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.
How to find the solution of equation?The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.
To find the solution of the equation, equate it to zero after factorizing it.
The equation provided in the problem is,
[tex](x - 3)(x+ 9)=-27[/tex]
Simplify the equation with the help of mathematical operations,
[tex](x - 3)(x+ 9)=-27\\x^2-3x+9x-27=-27\\x^2+6x-27+27\\x^2+6x=0\\x(x+6)=0[/tex]
Equate the factors to zero,
[tex]x=0;\; x=-6[/tex]
Hence, the solution of the provided equation (x – 3)(x 9), which is the product of two binomial equation, is 0.
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A medical center conducted a study to investigate cholesterol levels in people who have had heart
attacks. A random sample of 16 people was obtained from the names of all patients of the medical
center who had a heart attack in the previous year. Of the people in the sample, the mean cholesterol level was 264.70 milligrams per deciliter (mg/dL) with standard deviation . Assuming all conditions for inference were met, which of the following is a 90 percent confidence interval for the mean cholesterol level, in, of all patients of the medical center who had a
heart attack in the previous year?
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 90% confidence interval is (246.6, 282.8).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 16 - 1 = 15 df, is t = 1.7531.
Researching the problem on the internet, the standard deviation was of 42.1 mg/dL, hence the parameters are as follows:
[tex]\overline{x} = 264.7, s = 41.2, n = 16[/tex]
Thus, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 264.7 - 1.7531\frac{41.2}{\sqrt{16}} = 246.6[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 264.7 + 1.7531\frac{41.2}{\sqrt{16}} = 282.8[/tex]
The 90% confidence interval is (246.6, 282.8).
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30 point question if you answer!
PLS HELP I WILL MARK YOU BRAINLIEST!!! ANSWER QUICKLY!!!! :,(
compare. use <, =, or > 11 ____-7
a. >
b. =
c. <
THANK YOU!!! <3
Answer:a. >
Step-by-step explanation:
Question 1 of 10
What's the probability of getting an even number and a head when rolling a die and then tossing a coin?
A.1/4
B.1/2
C.1/3
D.1/5
Answer: 1/4
Step-by-step explanation: The coin is fair, the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12 because among 6 results there are 3 even numbers
11.7 divided by 26.208
Answer:
0.446429
Step-by-step explanation:
A box contains 20 crayons. There are 7 red crayons, 5 yellow crayons, and the rest
are blue crayons. Suppose an experiment involves a person removing 3 crayons from the box.
What is the probability that the person first removes a blue crayon, then a red crayon, and finally a
yellow crayon, with replacement? State your answer as the exact percentage found.
SHOW ALL WORK!
Answer: Individual probability stated below. As a single event 8/20×7/20×5/20
=280/8000= 3.5%
Step-by-step explanation: Balls picked with replacement is independent event.
P(red) =7/20 =35%
p(blue)= 8/20=40%
P(yellow) 5/20=25%
Need some help with math
Answer:
Question 6 answer is 35
Step-by-step explanation:
using pythagoras theorem, hypotenuse²= opposite²+ adjacent²
since it is said that we're looking for the hypotenuse then the values given are for opposite and adjacent.
therefore, hyp²= 21²+28²
hyp²= 1225 take square root of both sides to eliminate square and find hypotenuse
hyp= 35
189.939360828 to 4 decimal places.
Answer:
189.9394
Step-by-step explanation:
Since 6 is >= 5, the 3 thurns into a 4
PLEASE HELP QUICK
Parallel lines a and b are cut by the transversal t. Explain how transformations can be used to show that angle 4 congruent is to angle 8 and angle 4 is congruent to angle 5
We can apply a translation (aka shifting) to angle 4 to slide it down until it matches up perfectly with angle 8. This is one way to see how the two angles are identical copies of each other.
Once we know that [tex]\angle 4 \cong \angle 8[/tex], we can then show that angles 5 and 8 are congruent by rotating angle 8 exactly 180 degrees around so that it lands perfectly on angle 5. By the transitive property we can say
[tex]\text{ If } \angle 4 \cong \angle 8 \text{ and } \angle 8 \cong \angle 5, \text{ then } \angle 4 \cong \angle 5[/tex]
Another way is to reflect angle 4 over the transversal, and then slide it down so it matches up with angle 5. This bypasses the need for angle 8.
All of this is valid because of the parallel lines. If the lines weren't parallel, then angles 4 and 8 wouldn't be congruent (nor would angles 4 and 5). However, angles 5 and 8 are congruent since vertical angles are always congruent.
For which data representation is the median the better measure of center? bar graph. the horizontal axis is unnumbered. the vertical axis is numbered 0 to 10. the first bar is 3. the second bar is 8. the third bar is 4. the fourth bar is 8. the fifth bar is 3. unnumbered number line. the first notch has 2 dots. the second notch as 2 dots. the third notch as 3 dots. the fourth notch has 5 dots. the sixth notch has 5 dots. bar graph. the horizontal axis is unnumbered. the vertical axis is numbered 0 to 10. the first bar is 6. the second bar is 2. the third bar is 6. the fourth bar is 2. the fifth bar is 6. unnumbered number line. the first notch has 1 dot. the second notch as 3 dots. the third notch as 4 dots. the fourth notch has 3 dots. the sixth notch has 1 dot.
The data representation where the median is the better measure of the center is the third data representation.
How to illustrate the data?
From the information, the last bar graph is skewed to the right, since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs.
The drastically smaller values pull down the mean of the last bar graph. Comparatively, bar graphs one and two have symmetrical distributions of numbers on both sides of the central bar and this implies that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.
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Answer: B/ the second graph
Step-by-step explanation: i hope this helps :)
Some1 help
Find the volume
9
7
8
Volume = 1÷3 area of base × height
Answer:
168 in³
Step-by-step explanation:
Volume of a rectangular pyramid
[tex]V=\dfrac13lwh[/tex]
where:
l is the base lengthw is the base widthh is the pyramid heightGiven:
l = 8"w = 7"h = 9"[tex]\implies \textsf{volume}=\dfrac13\cdot 8 \cdot 7 \cdot 9=168\: \sf in^3[/tex]
what are equilateral triangles?
Answer:
They are triangle that have equal side and angle measurements.
Step-by-step explanation:
A statement of an employee's biweekly earnings is given below. earnings deductions week ended regular fed. soc. med state with. with. care. with. net pay 8/18 $_____ $62.00 $45.06 $10.54 $12.40 $596.80 what is the employee's gross pay? a. $703.86 b. $714.40 c. $716.26 d. $726.80 please select the best answer from the choices provided a b c d
The amount of the gross pay of the employee is 726.80 dollars. Then the correct option is D.
What is addition?Taking two or more numbers and adding them together, or the entire amount of two or more numbers in addition.
A statement of an employee's biweekly earnings is given below. earnings deductions week ended regular is shown below.
$62.00, $45.06, $10.54, $12.40, $596.80
Then their sum will be
→ $62.00 + $45.06 + $10.54 + $12.40 + $596.80 = 726.80
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Plese help I need an answer asap 5(x-4)
Answer:
5x-20
Step-by-step explanation:
Using the distributive property, we "feed" x and -4 the 5. So x turns into 5x and -4 turns into -20
A woman gives ¼ of a cake to her son,¼to her daughter and 1/3 to
her husband.What fraction of the cake is left?
Answer:
1/6 is left
Step-by-step explanation:
A woman gives 1/4 of a cake to her son 1/4 to her daughter, and 1/3 to her husband. What fraction is left?
As 4*3=12, we need to convert into twelfths.
3/12 + 3/12 + 4/12 = 10/12. This needs to be subtracted from 1 (12/12).
12/12 - 10/12 = 2/12. Simplify to 1/6.
1/6 is left.
Wich would most likely be graphed using a continuous graph?
Which would most likely be graphed using a continuous graph? Check all that apply.
total cost, c, of buying b cans of beans
total cost, c, of buying g pounds of broccoli
speed of a car, s, as it accelerates over time, t
number of stamps, s, needed to mail p postcards
total distance, d, that has been driven over time, t
decrease in outside temperature, F, one evening over time, t
B,C,E,F
this is what i found..hope it helps
Need help asap
6. Choose a number that will produce an irrational answer when added to 7/8
Answer:
√7
Step-by-step explanation:
√7 is the only irrational number because it has the radical sign
√
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use inequality to represent each of the following statment | x is less then 25
If you meant to say "x is less than 25", then it translates to [tex]x < 25[/tex]
If you meant to say " |x| is less than 25", then it translates to [tex]|x| < 25[/tex] and that absolute value inequality expands into [tex]-25 < x < 25[/tex], meaning x is between -25 and 25 excluding both endpoints.
Three sides of a triangle measure 15, 19, and 26 respectively. What is
the measure of the largest angle? Round to the nearest whole degree.
Applying the law of cosine, the largest angle in the given triangle, to the nearest whole degree, is: 99°.
What is the Law of Cosine?Law of cosine is, c² = a² + b² - 2ab(cosC)
Let,
a = 15b = 19c = 26Largest angle = CPlug in the values into the formula for the law of cosine:
26² = 15² + 19² - 2(15)(19)(cosC)
676 = 586 - 570(cosC)
676 - 586 = -570(cosC)
90 = -570(cosC)
90/-570 = cos C
-0.1579 = cos C
C = cos^(-1)(-0.1579)
C = 99°
The largest angle = 99°
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