The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute.
How to determine the average rate of descent of a hiker
Geometrically speaking, the average rate of descent (r), in feet per minute, is represented by a secant line, which represents in this case the change in elevation (Δz), in feet, divided by the change in time (Δt). A mathematical description of the formula is shown below:
r = Δz/Δt (1)
If we know that Δz = 30 ft and Δt = 40 min, then the average rate of descent is:
r = 30 ft/40 min = 0.75 ft/min
The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute. [tex]\blacksquare[/tex]
To learn more on average rates, we kindly invite to check this verified question: https://brainly.com/question/14712970
of the students at Wayland High School in
he first quarter, 48% made honor roll, 30%
had perfect attendance, and 25% both
made the honor roll and had perfect
attendance. If a student is chosen at
andom, what is the probability that they
have perfect attendance, given they made
he honor roll?
Using conditional probability, it is found that there is a 0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Student made the honor roll.Event B: Student has perfect attendance.The probabilities are given by:
[tex]P(A) = 0.48, P(A \cap B) = 0.25[/tex]
Hence the conditional probability is given by:
[tex]P(B|A) = \frac{0.25}{0.48} = 0.521[/tex]
0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
More can be learned about conditional probability at https://brainly.com/question/14398287
#SPJ1
. Callie stopped for lunch when she was shopping at the mall. She bought two pieces ofpizza for $2.95 each and a soda for $2.25. About how much did she spend?
ESTIMATE UR ANSWER AND SHOW WORK PLSSS!
Answer:
about $8
Step-by-step explanation:
Pizza at $2.95 can be rounded to $3.
Callie had two pieces of pizza, so $3 x 2 = $6.
Soda at $2.25 can be rounded to $2.
Two pieces of pizza $6 + Soda $2 = about $8
Lincoln needs to order some new supplies for the restaurant where he works. The restaurant needs at least 682 spoons. There are currently 388 spoons. If each set on sale contains 8 spoons, which inequality can be used to determine x, the minimum number of sets of spoons Lincoln should buy?
Answer:
8x + 388 ≥ 682
Step-by-step explanation:
"The restaurant needs at least 682 spoons."...so we need 682 ore more
...What we already have + what we are going to order... ≥ 682
"There are currently 388 spoons. "
388 + ...what we are going to order... ≥ 682
Order has "each set on sale contains 8 spoons"...and , " x is the minimum number of sets "
388 + 8x ≥ 682
31,616 divided by 52
PLS HURRY TIMED!!!
.
.
.
.
.
.
.
.
Answer:
-3
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Start with the diagonal going from upper left to lower right.. That gives -4*6 = - 24
Now calculate the other diagonal
-(3 * - 7 ) = 21
Now add them.
-24 + 21 = -3
Jessie wants to run a simulation of 10 trials to determine the probability of her picking at least one green marble in her next two picks. She will replace the marble after the first pick. Explain how Jessie can conduct a simulation using random digits from 0-9.
The simulation using random digits is an illustration of sample space and probability
How to run the simulation using random digits?From the question, we understand that the simulation is to determine the probability that she picks at least one green marble in her next two picks.
One of the ways this can be done is as follows:
Represent the green marbles with digits 0 - 4 Represent the other marbles with digits 5 - 9The above ensures that the probability of picking a green marble in each selection is 0.5 and the probability of not picking a green marble in each selection is also 0.5 i.e. the experiment is fair
Next, is to run a simulation of 10 trials.
Take for instance, the result of the simulation is as follows:
00 65 36 48 55
19 34 87 13 90
The number of outcomes that has at least one of digits 0 - 4 represents the required outcome i.e. picking at least one green marble
From the simulation result, the number of outcomes is
At least 1 green marble = 7
Number of trials = 10
So, the probability of picking at least a green marble is:
P = 7/10
P = 70%
Note that there are several other ways the simulation can be done; this is just one of them
Read more about probability at:
https://brainly.com/question/251701
F= G mM/r^2 solve for m
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for m
[tex]\qquad \tt \dashrightarrow \:F = \dfrac{ GMm}{ {r {}^{2} }}^{} [/tex]
[tex]\qquad \tt \dashrightarrow \:F {r}^{2} = { GMm}{ { {}^{} }}^{} [/tex]
[tex]\qquad \tt \dashrightarrow \:m = \dfrac{F {r}^{2} { { {}^{} }}^{} }{GM}[/tex]
What is the mean absolute deviation of the following set
of data?
4
1
5
3
2
4.
5
3
3
4
Answer:
1
Step-by-step explanation:
The mean absolute deviation of a dataset is the average distance between each data point and the mean.
Write down the shortest distance of points A,B,C, and D from the x-axis
Answer:
c
Step-by-step explanation:
I need help with a math problem.
Answer:
First of all, you need to give us the problem dum a
Step-by-step explanation:
.
If A is the center of the circle, then which statement explains how segment GH is related to segment FH?
Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.
segment GH ≅ segment FH because arc EF ≅ arc GF
segment GH ≅ segment FH because the inscribed angles that create the segments are congruent.
segment GH ≅ segment FH because the tangents that create the segment FG share a common endpoint.
segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A.
Statement fourth the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent, and angles EDA and GHA are right angles.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have AH as the radius and FG as a chord
AH is perpendicular to FG, AH⊥FG
As we know that a line passing through the center and perpendicular to the chord, bisects the chord.
∴ AH bisects FG
∴ FH = GH
Thus, the segment GH ≅ segment FH because segment FG is perpendicular to a radius of circle A if Circle A with inscribed triangle EFG; point D is on segment EF, point H is on segment GF, segments DA and HA are congruent and angles EDA and GHA are right angles.
Learn more about circle here:
brainly.com/question/11833983
#SPJ1
what is the digit 9 in 195,487
Answer:
90,000 is the answer to that question
Answer:
It is a number located in the tens of thousands whose value is 90,000.
---
Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
Help help help math math math
Answer:
okay so the answer is x>-5
Answer:
x>-5
Step-by-step explanation:
Question is in picture
Answer:
the first one is the correct answer
Step-by-step explanation:
the controlled variable is the one that stays constant, so the answer is 'the type of candy and the way in which we held the candy in our mouths'
:)
4* - 5(2*) + 4 = 0, u = 2* [Note: 4* = (2*)^2
Use the substitution given
Answer:
x = 0, 2
Step-by-step explanation:
[tex] {4}^{x} - 5( {2}^{x} ) + 4 = 0 \\ {({2}^{x})}^{2} - 5( {2}^{x} ) + 4 = 0 \\ {u}^{2} - 5u + 4 = 0 \\ (u - 1)(u - 4) = 0 \\ u = 1 \: or \: u = 4 \\ {2}^{x} = 1 \: or \: {2}^{x} = 4 = {2}^{2} \\ x = 0 \: or \: x = 2[/tex]
What is the inverse of function f? F(X) = square root of x +7
Answer: [tex]f^{-1} (x)=x^{2} -7[/tex]
Step-by-step explanation:
To find the inverse of a function replace f(x) with x and the original x with y
[tex]f(x)=\sqrt{x+7} \\x=\sqrt{y+7}[/tex]
Now we can solve for y
Square both sides so we can cancel out the root
[tex]x=\sqrt{y+7}\\x^{2} =\sqrt{y+7}^{2} \\x^{2} =y+7[/tex]
Now subtract 7 from both sides
[tex]x^{2} =y+7\\x^{2} -7=y+7-7\\x^{2} -7=y[/tex]
Now replace y with the inverse of f(x), [tex]f^{-1} (x)[/tex]
f⁻¹=x²+7
Solution:In order to find the inverse of a function, we should first replace f(x) with y, then switch x and y places, like so:y=√x+7x=√y+7Now, solve the equation for y.Square both sides in order to get rid of the square root:x²+7=yy=x²+7And finally, replace y with f⁻¹:f⁻¹=x²+7Also, inverse functions do the opposite thing in the opposite order.So if we have f(x)=x+7, the inverse function is: f⁻¹=x-7Hope it helps.
Do comment if you have any query.
Help me plss i don’t understand this
Answer:
See attached image, I vote for option A, but I agree it is a confusing question.
Step-by-step explanation:
See attached image.
Select all expressions that are equivalent to x-5
Answer:
C. [tex]-5+x[/tex]
E. [tex]x+(-5)[/tex]
F. [tex]-5-(-12)[/tex]
Step-by-step explanation: Let's say we chose a random number to represent x I chose 12
PLEASE HELP PLEASE HELP
13. Lorelei counted the faces on some three-dimensional figures. She found two figures with exactly 5 faces each. Which of two figures have exactly 5 faces each?
A. rectangular prism and triangular prism
B. rectangular pyramid and triangular pyramid
C. rectangular prism and triangular pyramid
D. rectangular pyramid and triangular prism
[tex] \\ [/tex]
Answer:D. Rectangular pyramid and triangular prism[tex]__________[/tex]
A. rectangular prism and triangular prism
Rectangular prism has 6 faces while triangular prism has 5 faces.B. rectangular pyramid and triangular pyramid
Rectangular pyramid has 5 faces while triangular pyramid has 4 faces.C. rectangular prism and triangular pyramid
Rectangular prism has 6 faces while triangular pyramid has 4 faces.D. rectangular pyramid and triangular prism
Both rectangular pyramid and triangular prism has exactly 5 faces.Therefore, the answer is D. Rectangular Pyramid and Triangular Prism.
If 100 students are surveyed, about how many students own 2 or more pets? Explain. Problem: 9/20x100 Please tell me how to get the answer just not the answer. Thank you.
Answer:
45
Step-by-step explanation:
20 goes into 100 5 times so then you tka e the 9 and x 5 and you get 45
Pencils are sold in boxes of
12. Mrs. Sheridon wants to
give 2 pencils to each of her 24
students. How many boxes of the
pencils will she need to buy?
4 boxes 4.12 = 48 pencils
hope it helps...!!!
Solve the inequality.
3 – 2a < 7
a > 2
a < 2
a < –2
a > –2
Answer:
a > –2
Step-by-step explanation:
3 – 2a < 7
-3 -3
-2a < 4
/-2 /-2
a > -2
21. Which kind of function best models the data in the table? Use differences or ratios. (1 point)
Y
01.3
17.8
246.8
3 280.8
41684.8
O linear
O quadratic
exponential
O none of the above
How do you solve the area
?
Which expression is equivalent to 2(x + 7) – 18x + 4/5
А А
74
20x +
5
139
20x +
5
B
С
74
-16x +
5
D
139
-16x +
5
Answer:
I got -16x+44/3
Step-by-step explanation:
Around which line would the following cross-section need to be revolved to create a sphere?
Options:
A: x = 1
B: y = 1
C: y axis
D: x = 2
i thought it was y axis but im not sure so i just want to make sure!!
Answer:
B y=1
Step-by-step explanation:
. Predict how the display may look after another 20 minutes.
erature
Answer:
creature
Step-by-step explanation:
it's definitely creature
WILL GIVE BRAINLEIEST HURRRYY
The graph of an exponential function, f(x), is shown.
Move numbers to the blanks to describe how f(x) increases and grows over different intervals.
This are the answers
If the bottom row as a result of synthetic division is 3, 0, 4, 0, 1. then the quotient is what?
Answer:
[tex]a. \:\:3x^3 + 4x\:\:R1[/tex]
Step by step explanation:
Hope it helps you in your learning process.
Have a great day ahead.
The quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.
The option representing this is, a. 3x³ + 4x R1.
What is synthetic division?Synthetic division is a short method of dividing a polynomial p(x) by another polynomial (x - c), to get the quotient and remainder.
The last row represents the quotient and remainder, the last digit being the remainder, and the others being the quotient multiplied by leading powers of x, starting from x⁰, starting from the second last term of the last row.
How to solve the question?In the question, we are given the last row of a synthetic division as 3, 0, 4, 0, 1, and we are asked to find the quotient of the division.
The last number, 1 represents the remainder and can be written as R1.
Now we move from the back to the front and multiply every number with the leading power of x, starting from x⁰.
0 gives 0 * x⁰ = 04 gives 4 * x¹ = 4x0 gives 0 * x² = 03 gives 3 * x³ = 3x³.Therefore, the quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.
The option representing this is, a. 3x³ + 4x R1.
Learn more about the Synthetic Division at
https://brainly.com/question/24662212
#SPJ2
John works at Klein’s Dry Cleaning. He earns $8.45 per hour. If John worked 39 hours this week, what is his pay?
Answer:
$329.55
Step-by-step explanation:
We simply just multiply the hours by the total cost he gets paid each hour.
Since he gets paid 8.45 each our and works 39 hours we do:
8.45 * 39 = 329.55
Answer:
$329.55
Step-by-step explanation:
8.35 times 39