The hot air balloon descends 22.498 feet after 3.333 seconds.
How much does a hot air balloon's height decreases?
The situation indicates that the height decrease is directly proportional to time. The distance is equal to the product of speed (v), in feet per second, and time (t), in seconds.
s ∝ t
s = v · t (1)
If we know that v= 6.75 ft / s and t = 3.333 ft, then the change in the height of the hot air balloon is:
s = (6.75 ft / s) · (3.333 s)
s = 22.498 ft
The hot air balloon descends 22.498 feet after 3.333 seconds.
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HELP EMERGENCY!!!! (2.5 x 10-10) (7 x 10-5)
Express your answer in scientific notation.
Answer:
[tex]1.75[/tex] × [tex]10^{-15}[/tex]
I hope this helps!
Sarah graphed the function. y =-1/2x+4 if the domain is restricted to this on the photo what’s the answer I pick
Answer:
Option (4)
Step-by-step explanation:
Domain of a function is defined by the x-values or input values of the function.
Similarly, Range of a function is defined by the y-values of output values for the corresponding input values.
From the graph attached,
Domain is restricted to 0 ≤ x ≤ 8.
Therefore, Range will be 0 ≤ y ≤ 4.
Option (4) will be the answer.
EASY MATH QUESTION I will give brainiest to first correct answer!
Find the exact value of the following.
11.68 - 0.48 ÷ (-1.6) =
Happy Veterans Day, stay safe, God bless and happy studying!
Answer:
11.98
Step-by-step explanation:
please help me out 5x + 2 +3x + 5
Answer:
8x + 7
Step-by-step explanation:
combine the like terms
Answer:
8x+7
Step-by-step explanation:
5x+3x=8x
2+5=7
ihope answer helps u
A cold water pipe can fill a swimming pool in 4 hours, and a hot water pipe in 6 hours. If cold water pipe is turned on and hot water pipe is turned on 3 hours later then how long will it take them to fill the pool together?
answer = 5
Step-by-step explanation:
A cold water pipe can fill a swimming pool in 4 hours
And a hot water pipe in 6 hours.
If cold water pipe is turned on and hot water pipe is turned on 3 hours later
6-4 = 2
2+3 = 5
5 answer
Answer:
0.6 of an hour
Step-by-step explanation:
A cold pipe takes 4h hours so we can assume ¼ of our job is done in one hour.
After 3 hours go by with the cold pipe on, we have ¼ of the job left.
Now we have our hot pipe, which takes 6 hours for the entire pool, so we can assume that it has a rate of ⅙ per hour. Now since these two pipes are working together we can add them.
⅙ + ¼ = ⁵/₁₂
Now we divide.
Since at the start 3 hours had gone by with the cold pipe that would have been ¾ of our time so, 1 - ¾ = ¼
¼ ÷ ⁵/₁₂ = ⅗ or 0.6 of an hour
Compute 41, 42, 43, 44, 45, 46, 47, and 48. Make a conjecture about the units digit of 4n where n is a positive integer. Use strong mathematical induction to prove your conjecture.
Answer:
The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
Step-by-step explanation:
[tex]4^1 = 4\\4^2 = 16\\4^3 = 64\\4^4 = 256 \\4^5 = 1024\\4^6 = 4096\\4^7 = 16384\\4^8 = 65536[/tex]
The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
To prove this conjecture
[tex]4^1 = 4\\4^2 = 16[/tex] unit digit = 6
hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1 to 8 )
Please help I'm really stressed about this it's simple it's the last question on this assignment I'll mark brainliest plzzz help
please help and I will mark big brain
Enter an equation in standard form for the line.
Slope is -5, and (-6, -10) is on the line.
Which term describes the figure? Please help
Answer:
C . None of these
Is the answer.
Step-by-step explanation:
Because parallel lines do not intersect.
And perpendicular lines form angle of 90°.
Answer:
None of the above.
Step-by-step explanation:
Those lines are intersecting lines. Parallel lines face each other and never meet. Perpendicular lines do meet, but they form a 90 degree angle, which this doesn't. Intersecting lines meet, but don't form a 90 degree angle.
Hope this helps!
Find the midpoint of A and B where A has coordinates (2, 3)
and B has coordinates (8,9).
y
10
9
8
7
6
5
4
3
2
1
X
O
1 2 3 4 5 6 7 8 9 10
Answer:
The mid-point of AB is (5,6)
Step-by-step explanation:
The mid-point of two points lies between the middle of two points or divides the line in two equal parts.
The formula for finding mid-point, M, is:
[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point.
Given
(2, 3) and (8,9)
Putting the values in the formula
[tex]M(x,y) =(\frac{2+8}{2} , \frac{3+9}{2})\\M = (\frac{10}{2}, \frac{12}{2})\\M = (5,6)[/tex]
Hence,
The mid-point of AB is (5,6)
A box on kitty litter is 8 3/4 inches tall. How many boxes can be stacked on a shelf in the warehouse that is 40 inches tall?
Answer:
Probably about 4 boxes
A 3-pound bag of carrots costs $11.52. What is the price per ounce?
Answer:
3.75
Step-by-step explanation:
Just divide it in the future!! :)
Answer:
$0.24
Step-by-step explanation:
There are 48 ounces in 3 pounds. Divide 48 by 11.52 to get the unit rate, and the unit rate is $0.24 per ounce
1000 ft to 1950 ft in 4 miles what is slope
Answer:
0.05
Step-by-step explanation:
Slope is the vertical drop or rise to the horizontal distance;
Slope = [tex]\frac{vertical interval}{horizontal distance}[/tex]
Let us convert 4 miles to feet;
1 mile = 5280ft
4 miles = 4 x 5280 = 21120ft
Slope = [tex]\frac{1950 - 1000}{21120}[/tex] = 0.05
The slope is 0.05
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the .
The variable y represents the .
The deli charges $ .
Answer:x=cost per pound of meat
Y=Cost per pound of cheese
The deli charges 4.50 for a pound of meat
Step-by-step explanation:
Answer:
The variable x represents the
✔ cost per pound of meat
.
The variable y represents the
✔ cost per pound of cheese
.
The deli charges $
✔ 4.50 for a pound of meat
.
Step-by-step explanation:
PLEASE HELP FAST & CORrect 50 POINTS
Answer:
105
Step-by-step explanation:
The number 0.003 is 1/10 of which decimal?
Answer:
I'd say it's 0.03
Step-by-step explanation:
0.03 divided by 10 is 0.003 so it's 1/10
0.003 is 1/10th of 0.03.
What is a decimal ?A decimal is represented by a point or a dot it separates the decimal part and the fractional part for example 24.75 here the whole part is is 24 and the fractional part is 75.
if we divide 0.03 by 10 = [tex]\frac{0.03}{10}[/tex] = 0.003. (dividing a number by 10
moves the decimal point
to the left by 1 because
10 has 1 no. of zeroes)
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HELP PLEASE HELP ILL GIVE U 15 points and BRAINLIEST to the correct answer (DONT guess please)
Consider the function.
f (x)= -80 +4
What is the value of f (-1/4)?
A. 0
B.2
C. 3
D. 6
Answer: the answer is b
Step-by-step explanation:
Just trust me
x2 + 5x +4=0
How do we do this
Answer: x=−1 or x=−4
Step-by-step explanation: Solve by factoring
Answer:
(x+1)(x+4)
Step-by-step explanation:
Estimate the:
length of a pen
length of a swimming pool
length of a marathon race
5.2 inches 13.12 cm
length of a swimming pool:50m
length of a marathon race:42.195 kilometers
hope this answers your question!I tried solving this but I accidentally tried figuring out what it would be if it was decreased by 15% instead of increased so now I confused myself an I need help.
Answer:
120 magazines
Step-by-step explanation:
1.15x = 138
x = 120 magazines before increase
Check:
before increase + increase = sold
120 + 120(.15) = 138
120 + 18 = 138
138 = 138
What fraction is equivalent to the decimal and percent below? Enter your
answer in simplest form, using the slash (/) as the fraction bar.
Fraction Decimal Percent
? 0.50 50%
Answer here
SUBMIT
Answer: 1/2
Step-by-step explanation:
Ffind an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together.
y=8 âx,(1,8)
Answer:
y = 4x + 4
Step-by-step explanation:
given :
y = 8 [tex]\sqrt{x}[/tex] , (1,8)
The equation for the tangent to the curve at the given point
y' = 8. ( [tex]( \frac{1}{2\sqrt{x} } ) = \frac{4}{\sqrt{x} }[/tex]
next calculate the slope of the tangent (m) = y' at x = 1 = 4
hence the equation of the tangent is
y - y' = m( x - x1 )
y - 8 = 4 ( x - 1 )
y = 4x + 4
attached below is the sketch of the curve and the tangent together
Ezra has 21 chickens in a pen. He plans on adding 3 chickens every month to the pen. Based on this information, which representation shows this relationship between the number of chickens in the pen, y, and the number of months that have passed, x?
Answer:
Linear graph
y = 3x + 21
Step-by-step explanation:
Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a certain year in the past. Suppose a sample of 100 major league players was taken. The probability that the mean salary of the 100 players exceeded $3.26 million is:________a. 0.0228b. 0.9772c. approximately 1d. approximately 0
Answer:
b) 0.0228
Step-by-step explanation:
We use the z score formula when given random number of samples =
z = (x-μ)/σ/√n where
x is the raw score = $3.5 million
μ is the population mean = $3.26 million
σ is the population standard deviation = $ 1.2 million
n = random number samples = 100
Hence,
z = 3.5 - 32.6/1.2/√100
z = 3.5 - 32.6/1.2/10
z = 3.5 - 3.26/0.12
z =2
Probability value from Z-Table:
P(x<3.5) = 0.97725
P(x>3.5) = 1 - P(x<3.5)
P(x>3.5) = 1 - 0.97725
P(x > 3.5) = 0.02275
Approximately ≈ 0.02278
The approximate probability that the mean salary of the 100 players exceeded $3.5 million is 0.02278
convert the common fraction into decimal fraction
[tex] \frac{3}{4} [/tex]
Answer:
We know that 3/4=0.75.When expressed as decimal fraction it is 75/100
[solved] These Cylinders are similar. Find the volume of the smaller cylinder. Round to the nearest tenth. (the answer is 84.9 cm^3)
Answer:
84.9 cm³
Step-by-step explanation:
Height of the bigger Cylinder = 5 cm
Volume of the bigger Cylinder = 393 cm³
Height of the smaller cylinder = 3 cm
Volume of the smaller cylinder = x cm³
Since they are similar, therefore: the cube of their ratio would equal the ratio of their volume.
Thus:
[tex] (\frac{5}{3})^3 = \frac{393}{x} [/tex]
[tex] \frac{125}{27} = \frac{393}{x} [/tex]
Cross multiply
[tex] 125*x = 393*27 [/tex]
[tex] 125x = 10,611 [/tex]
Divide both sides by 125
[tex] \frac{125x}{125} = \frac{10,611}{125} [/tex]
[tex] x = 84.888 [/tex]
Volume of the smaller cylinder = 84.9 cm³ (to nearest tenth?
The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the standard deviation of the random variable. Round to three decimal places. x 0 1 2 3 4 5 P(X= x) 11 7 3 1 1 1 48 24 16 6 12 24
Answer:
1.41
Step-by-step explanation:
Given the table :
X : _____0 ___ 1 ____ 2 ____ 3 ____ 4 ____5 P(X= x)_ 11/48_7/24_ 3/16____1/6___ 1/12 __1/24
The standard deviation = √var(x)
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (0*(11/48))+(1*(7/24))+(2*(3/16))+(3*(1/6))+(4*(1/12))+(5*(1/24))
μ = 1.70833333
Var(X): [(0^2*(11/48))+(1^2*(7/24))+(2^2*(3/16))+(3^2*(1/6))+(4^2*(1/12))+(5^2*(1/24))] - 1.70833333^2
= 4.9166667 - 2.9184027663889
Std (x) = √1.9982639336111
Std (x) = 1.4135996
Std (x) = 1.41
Answer:
The Standard deviation of the random variable is 1.414.
Step-by-step explanation:
We Know,
Standard deviation= [tex]\sqrt{variance}[/tex]
Variance is given by:
[tex]Var(X)=E(X^{2} )-E(X)^{2}\\[/tex]
Given,
[tex]x = 0\ 1\ 2\ 3\ 4\ 5\\P(X=x)= \frac{11}{48} \ \frac{7}{24} \ \frac{3}{16}\ \frac{1}{6}\ \frac{1}{12}\ \frac{1}{24} \\[/tex]
[tex]E(X)=[/tex]∑ [tex]x*P(X)[/tex]
[tex]E(X) = 0+ 1*\frac{7}{24} + 2*\frac{3}{16} + 3*\frac{1}{6} + 4*\frac{1}{12} + 5*\frac{1}{24}\\= 1.7083[/tex]
[tex]E(X^{2} ) =[/tex][tex]0+ 1^{2} *\frac{7}{24} + 2^{2} *\frac{3}{16} + 3^{2} *\frac{1}{6} + 4^{2} *\frac{1}{12} + 5^{2} *\frac{1}{24}[/tex]
[tex]= 4.9167[/tex]
So,
[tex]Var(X)= 4.9167- 1.7083^{2}[/tex]
[tex]= 1.99841\\\\Hence, Standard Deviation= \sqrt{1.99841} \\\\ Standard Deviation= 1.413( (upto 3 decimals)[/tex]
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Assume the table gives data on field goal shooting for two members of the Benedict College 2014-2020 men's basketball team. Seth Fitzgerald Roberto Mantovani Made Missed Made Missed Two-pointers 123 118 87 84 Three-pointers 31 6 2 17 NOTE: The numerical values in this problem have been modified for testing purposes. (a) What percent of all field goal attempts did Seth Fiqzgerald make? (Enter your answers rounded to two decimal places.) Seth Fitzgerald's overall field goal percentage:_______ What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.) What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.) Roberto Mantovani's overall field goal percentage:______________. (b) Find the percent of all two-point field goals and all three-point field goals that both Seth and Roberto made. (Enter your answers rounded to two decimal places.) Seth Fitzgerald's two-pointers: ______________% Roberto Mantovani's two-pointers:___________ % Seth Fitzgerald's three-pointers:____________ Roberto Mantovani's three-pointers:__________ (c) Roberto had a lower percent than Seth for both types of field goals, but had a better overall percent. That sounds impossible, select the correct statement concerning the situation. i) This is an example of Simpson's paradox. The comparison that holds for both field goal groups is reversed when the groups are combined into one group. ii) The sample size is too small and this explains why the results seem contradictory. iii) You should never compare percentages for two different groups. iv) This is an example of correlation. The comparison that holds for both field goal groups is reversed when the groups are combined into one group.
Answer:
(a) What percent of all field goal attempts did Seth Fitzgerald make? (Enter your answers rounded to two decimal places.)
Seth Fitzgerald's overall field goal percentage:__59.69%_____
What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.)
Roberto Mantovani's overall field goal percentage: ______40.31%________.
(b) Find the percent of all two-point field goals and all three-point field goals that both Seth and Roberto made. (Enter your answers rounded to two decimal places.)
Seth Fitzgerald's two-pointers: _____58.57%_________%
Roberto Mantovani's two-pointers:_____41.43%______ %
Seth Fitzgerald's three-pointers:_____64.58%_______
Roberto Mantovani's three-pointers:_____35.42%_____
(c) Roberto had a lower percent than Seth for both types of field goals, but had a better overall percent. That sounds impossible, select the correct statement concerning the situation.
i) This is an example of Simpson's paradox. The comparison that holds for both field goal groups is reversed when the groups are combined into one group
Step-by-step explanation:
a) Data and Calculations:
Benedict College 2014-2020 men's basketball team:
Seth Fitzgerald Roberto Mantovani Total
Made Missed Made Missed Made Missed
Two-pointers 123 118 87 84 210 205
Three-pointers 31 6 17 2 48 8
Total 154 124 104 86 258 210
a) All field goal attempts = 258 (154 + 104)
Field goal attempts by Seth Fitzgerald = 154/258 * 100 = 59.69%
Goal 154 - 124 = 30/258 * 100 = 11.63%
Roberto Mantovani = 104/258*100 = 40.31%
Goal 104 - 86 = 18/258 *100 = 6.98%
Percent of all two-point field goals and all three-point field goals that both Seth and Roberto made:
Goals by both = 48 (30 + 18) = 48/258*100 = 18.61 (11.63 + 6.98)
Seth Fitzgerald's two-pointers = 123/210*100 = 58.57%
Roberto Mantovani's two-pointers = 87/210*100 = 41.43%
Seth Fitzgerald's three-pointers = 31/48*100 = 64.58%
Roberto Mantovani's three-pointers = 17/48*100 = 35.42%
b) Simpson's paradox, also called Yule-Simpson effect, says that when we combine all of the groups together (e.g. two-pointer and three-pointer games played by Seth and Roberto respectively) and look at the data in total form, the correlation that we noticed before may reverse itself. The cause of this reversion is lurking variables or numerical values of the data.
Which shapes have parallel sides? Choose ALL the correct answers.
Answer:
the green one for sure..
Step-by-step explanation: