Answer:
2812 people
Step-by-step explanation: There are 38 buses and each holds 74 people so 38 x 74= 2812
Hope this helps :)
The base area of a right circular cone is 1/4 of its total surface area. What is the ratio of the radius
to the slant height?
Given:
The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.
To find:
The ratio of the radius to the slant height.
Solution:
We know that,
Area of base of a right circular cone = [tex]\pi r^2[/tex]
Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]
where, r is radius and l is slant height.
According to the question,
[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]
Multiply both sides by.
[tex]4\pi r^2=\pi rl+\pi r^2[/tex]
[tex]4\pi r^2-\pi r^2=\pi rl[/tex]
[tex]3\pi r^2=\pi rl[/tex]
Cancel out the common factors from both sides.
[tex]3r=l[/tex]
Now, ratio of the radius to the slant height is
[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]
[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]
Therefore, the ratio of the radius to the slant height is 1:3.
38% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
anybody know ???????????
Answer:
1. constant: 2
2. you can use slope intercept
3. 4 pounds equal 40 cents
4. because it is linear
Step-by-step explanation:
What is
41/6
as a mixed number in simplest form?
Enter your answer in the box.
Answer:
6 1/6
Step-by-step explanation:
six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6
whats answere y+2=-3 (x - 4)
Answer:
Slope = 6.000/2.000 = 3.000
x-intercept = 10/3 = 3.33333
y-intercept = -10/1 = -10.00000
Step-by-step explanation:
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -4.000 - (-10.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Answer:
x=10/3
Step-by-step explanation:
0+2=-3x+12
2=-3x+12
3x=12-2
3x=10
What are the coordinates of the vertices of A L'M'N'?
Answer: L is (-5, 2) M is (0,6) N is (2,4)
Step-by-step explanation:
Scientists want to estimate the mean weight of mice after they have been fed a
special diet. From previous studies, it is known that the weight is normally
distributed with standard deviation 4 grams. How many mice must be weighed so
that a 95% confidence interval will have margin of error of 0.4 grams?
Write only an integer as your answer.
Answer:
n = 484
Step-by-step explanation:
If Confidence Interval CI = 95 % then α = 5% and α/2 = 2,5 %
α/2 = 0,0125
MOE for normal distribution is:
MOE = z * σ/√n
For α/2 = 0,0125 ⇒ z(score) = -2,2
MOE = |-2,2| * 4/√n
0,4*√n = 8,8
√n = 8,8 / 0,4
√n = 22
n = 484
At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S, in terms of t, representing the depth of snow on Amelia's lawn, in inches, t hours after the snow stopped falling.
Answer:
The equation is;
S = 18 - 1.5t
Step-by-step explanation:
From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t
After 4 hours of melting, the snow depth is 12 inches
Now, recall that the rate of melting is 1.5 inches/ hour
So in the 4 hours, the amount of snow melted will be 1.5 * 4 = 6 inches
So the total depth of the snow initially will be 6 + 12 = 18 inches
So let’s write the equation;
S = 18 - 1.5t
Where S is the depth of the snow after a particular number of hours t
I'm confused
What is the answer?
If c > 0, then f(x - c) is a shift of f(x) by c units to the right, and f(x + c) is a shift by c units to the left.
If d > 0, then f(x) - d is a shift by d units downward, and f(x) + d is a shift by d units upward.
Let g(x) = x. Then f(x) = g(x + a) - b = (x + a) - b. So to get g(x), we translate f(x) to the left by a units, and down by b units.
Note that we can also interpret the translation as
• a shift upward of a - b units, since
(x + a) - b = x + (a - b)
• a shift b units to the right and a units upward, since
(x + a) - b = x + (a - b) = x + (- b + a) = (x - b) + a.
Can you please help me
Answer:
b
Step-by-step explanation:
Whats 27.16 - 3.1 x 1.4 evaluated?
PLEASE HELP
Answer:
22.82
Step-by-step explanation:
can u plz mark me as brainliest??
Answer:
22.82
Step-by-step explanation:
3.1*1.4 = 4.34
27.16-4.34 = 22.82
[edited, I messed up the order of operations before, sorry]
b - 7/4= -2/3
solve for b
b is equal to 13/12
move -7/4 over then add the fractions there you go
Kareem has bought 24 pounds of dog food. He feeds his dog 2/3 pounds for each meal. For how many meals will the food last?
Answer:
Hot dogs- 4 packs (9 times 4 = 36)
Buns - 3 packs (12 times 3 = 36)
Step-by-step explanation:
Find the slope of the line that contains the points (-4,10) and (0,2)
Answer: x=-2
Step-by-step explanation: You have to do y-y÷x-x. So that means 2-10 which equals -8 and 0- negative 4, which equals 4. So for y, you have -8 and for x you have 4. Then you divide -8÷4 which equals -2
The flywheel on a steam engine rotates 60 revolutions every 15 seconds what is the flywheel rate of revolution per second? need the unit rate too.
Answer:
The flywheel rate of the flywheel is 4 revolutions per second.
Step-by-step explanation:
From Rotation Physics we understand that flywheel rotates at constant rate. In this case, angular speed ([tex]\dot n[/tex]), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:
[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)
Where:
[tex]n[/tex] - Number of revolutions done, measured in revolutions.
[tex]t[/tex] - Time, measured in seconds.
If we know that [tex]n = 60\,rev[/tex] and [tex]t = 15\,s[/tex], then the angular speed of the flywheel is:
[tex]\dot n = \frac{60\,rev}{15\,s}[/tex]
[tex]\dot n = 4\,\frac{rev}{s}[/tex]
The flywheel rate of the flywheel is 4 revolutions per second.
Answer:
The answer for that question is 4 per second
Step-by-step explanation:
Just put that answer i know it on your choices i looked up goodle for this answer so your welcome
Hope this help
Pls leave a thanks if it did
Simplify (4.5)(5)(−2).
Group of answer choices
45
4.5
−4.5
−45
Answer: -45
Steps: 4.5 × 5 × -2 = -45
Plz mark brainliest:)
PLEASE HELP ASAP!!!!! Use deductive reasoning to form a "Therefore" concluding statement from the given statements below:
All members of the softball team attended the awards banquet.
Alex is a member of the softball team.
Answer:
b
Step-by-step explanation:
Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&5x&=3x \\\\ B.&&5&=3 \end{aligned}
A.
B.
5x
5
=3x
=3
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Add/subtract the same quantity to/from both sides
(Choice B)
B
Add/subtract a quantity to/from only one side
(Choice C)
C
Multiply/divide both sides by the same non-zero constant
(Choice D)
D
Multiply/divide both sides by the same variable expression
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
1). A. Add/subtract a quantity to/from only one side
2) B. No
Step-by-step explanation:
Given equation A
5x-2+x = x-4
Given equation B
5x+x = x-4
We can see that the difference between equation A and B is the 2 that subtracted from the left hand sides of the equation A. All other functions and constants remains the same.
For us to be able to get equation B from A, we need to simply add 2 to the left hand side of equation A to cancel out the -2 that is there as shown:
From equation A:
[tex]5x-2+x = x-4[/tex]
Add 2 to the left hand side of the equation
[tex]5x-2+x+2 = x-4[/tex]
Simplify
[tex]5x-2+2+x = x-4\\5x+0+x = x-4\\5x+x = x-4[/tex]
We can see that the resulting function gives the equation B
Hence the option B is correct i.e Add/subtract a quantity to/from only one side
Let us find the solution to equation A and B
For equation A:
[tex]5x-2+x = x-4\\5x+x-2 = x-4\\6x-2 = x-4\\6x-x = -4+2\\5x = -2\\x = -2/5[/tex]
For equation B:
[tex]5x+x = x-4\\5x+x-x = 4\\6x-x = 4\\5x = 4\\x= 4/5[/tex]
Since we got different solution for x in both equation, hence both equation are not equivalent.
Answer:
Add/subtract the same quantity to/from both sides .... and yes
Step-by-step explanation:
got the answer from khan.
Find the elapsed time between 10:21 a.m. and 5:43 p.m.
6 hours, 4 minutes
7 hours, 22 minutes
5 hours, 22 minutes
16 hours, 4 minutes
Answer:
7 hours, 22 minutes
Step-by-step explanation:
17:00 (5:00) - 10:00 = 7 hours apart
43 - 21 = 22 minutes
the density of salt is 80 pounds per cubic foot what is the approximate density of salt per cubic meter
Answer: Density = 1,282.26 kg/m^3
Step-by-step explanation:
Density = 80 lb/ft^3
We know that:
1lb = 0.4536 kg.
1ft^3 = 0.0283 m^3
then we can write:
1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
we can multiply our equation by this, and it wont be affected, then we have:
Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
Density = 1,282.26 kg/m^3
Answer:
Density = 1,282.26 kg/m^3
Step-by-step explanation:
Density = 80 lb/ft^3
We know that:
1lb = 0.4536 kg.
1ft^3 = 0.0283 m^3
then we can write:
1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
we can multiply our equation by this, and it wont be affected, then we have:
Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
Density = 1,282.26 kg/m^3
Step-by-step explanation:
Subtract: (8x + 7) - (4x + 5) *
O4x + 12
O 44-12
O4x + 2
O 44-2
Answer:
4X+2
Step-by-step explanation:
Since there is a negative in front of (4X+5), this will change the signs of both 4x and +5 to (-4X) and (-5) respectively.
This will make the equation look like as follows:-
8X +7 - 4X- 5
Thus on solving we get:-
8X- 4X +7 - 5
= 4X +2
There are 3 cats in the room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.
Answer:
ok soooo whats the question like bruhhhhhh i here to anwser now tell me the question
Step-by-step explanation:
A salesperson at a company sold 6,903,435 dollars of hardware for the year, a figure that represents the eighth decile of sales performance at the company. What can you conclude about their performance.
Answer:
The performance is good
Step-by-step explanation:
80% of the sales peoples sold less than this...
GRAHAM CORPORATION
Samantha invested in the Graham Corporation. Samantha bought n number of
shares for d dollars and paid a 2% commission to her broker. She later sold the
stock for s dollars and paid a flat fee of $11. A friend of Samantha's, Alex, also
decided to invest in the Graham Corporation. He purchased x dollars worth of
stock on his broker's advice and paid his broker a 1% broker fee.
Part A
Write an expression to model Samantha's net proceeds algebraically. Explain how
you determined the expression.
Answer:
Net proceed= s-0.98nd-11Step-by-step explanation:
Given that the shares cost $d
n shares will be =$dn
paid 2% commission to her broker= (2/100)*nd= 0.02nd
sold the share for $s
paid a fee of $11
Her net proceeds algebraically will be
Net proceed= s-nd-11-0.02nd
collect like terms
Net proceed= s-(nd-0.02nd)-11
Net proceed= s-0.98nd-11
2)If a $100 deposit is made at a bank that pays 12% per year, compounded annually, determine how long it will take for the investment to reach $2000.
Answer:
It will take 26.4 years for investment to reach $2000
Step-by-step explanation:
2000=100(1+.12)^x
20=1.12^x
㏒_{20} 1.12=x
log 1.12/ log 20=x
x= 26.434
The number of years that should be taken for reaching $2,000 is 26.40 years.
Given that,
The deposit made at the bank is $100.The interest rate per year is 12%.And, the reaching amount is $2,000.Based on the above information, the calculation is as follows:
[tex]2000=100(1+.12)^x\\\\20 = 1.12^x[/tex]
Now apply log to both sides
[tex]\frac{log1.12}{log20} = x[/tex]
x = 26.4 years
Therefore we can conclude that the number of years that should be taken for reaching $2,000 is 26.40 years.
Learn more: brainly.com/question/13324776
a. Suppose a BMW dealer in Fullerton, CA is trying to calculate the probability of his car sale for next week. The dealer knows that the sale of car is normally distributed with mean 50 and variance 9. The variance 9 was calculated from the weekly car sale data of 20 weeks, as the population variance is not known to the dealer. What is the probability that the dealer will sell 51 or more cars next week? (Hint: use t distribution) (15)
Answer:
0.45576
Step-by-step explanation:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Standard Deviation = √variance
Mean = 50
= √9
= 3
z = 51 - 50/3
= 0.11111
Probability value from Z-Table:
P(x<51) = 0.54424
P(x>51) = 1 - P(x<51)
= 1 - 0.54424
= 0.45576
The probability that the dealer will sell 51 or more cars is 0.45576
175 miles at a speed of 25 miles per hour?
Answer:
That would take you 7 hours to get to your location.
what is the rectangular prism of 2 units and 7 1/3
Answer:
it could be 14 2/6 units squared
Step-by-step explanation:
idkI don’t know but for area is units squared and for volume it has units cubed
Classwork
1. A plane flew at a constant speed between Denver and Chicago. It took the
plane 1.5 hours to fly 915 miles. Complete the table.
Time in Hours (x)
Distance in Miles (y)
Constant (3)
1
1.5
915
610
2.
2.5
Answer:
Step-by-step explanation:
A plane took 1.5 hours to complete the journey of 915 miles.
Therefore, constant of proportionality will be,
k = [tex]\frac{915}{1.5}=610[/tex]
[tex]\frac{y}{x}=610[/tex]
y = 610x
Time in hours (x) Distance in miles (y) Constant [tex](\frac{y}{x})[/tex]
1 y = 610x ⇒ y = 610 miles 610
1.5 915 610
2 y = 2 × 610 = 1220 miles 610
2.5 y = 2.5 × 610 = 1525 miles 610
Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5
apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants to buy 16 pies for her
sisters and must buy as many chocolate pies as apple pies and banana pies combined.
How many of each item should she buy?
Answer:
5 of each item is how much she should buy
Step-by-step explanation: