Step-by-step explanation:
First you draw the right triangle and plug in everything you already know
Then you do the pythagoreon theorem
The ladder is 10 ft
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
Let x be the number of 3- point questions and y be the number of 5-points questions.
Step-by-step explanation:
The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to the x-axis is an equilateral triangle, then the volume is
(A) sqrt(3)/8(e^2-1)
(B) sqrt(3)/4(e^2-1)
(C) sqrt(3)/2(e^2-1)
PLS EXPLAIN
Answer:
A
Step-by-step explanation:
The base of a solid in the region enclosed by the graphs of y = eˣ, y = 0, x = 0, and x = 1. Each cross-section perpendicular to the x-axis is an equilateral triangle. We want to find the volume of the solid.
Please refer to the graph below. We are concerned with the red region.
In order to find the volume, we essentially sum up the area of the figure at each x value. So, we integrate from x = 0 to x = 1.
The area for an equilateral triangle is given by:
[tex]\displaystyle A=\frac{\sqrt{3}}{4}s^2[/tex]
Where s is the side length of the triangle.
Since the triangle lies perpendicular on the region, the side length of the triangle at x is simply y, which is eˣ.
Therefore, our volume is:
[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx[/tex]
Substitute:
[tex]\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx[/tex]
Evaluate the integral. Simplify:
[tex]\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx[/tex]
Integrate using u-substitution:
[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)[/tex]
Evaluate:
[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)[/tex]
Therefore, the volume of the solid is:
[tex]\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)[/tex]
Our answer is A.
Answer:
A.) sqrt(3)/8(e^2-1) is the answer.
Step-by-step explanation:
#CarryOnLearning
Consider the dot plot which shows the distribution of data collected on the amount of time Jane spent drying her hair each
morning. Which statement BEST describes the center of the data?
A)
median is less than the mean
B)
median is greater than the mean
mean is greater than the median
D)
mean is less than half the range
The correct answer is option A, the median is less than the mean.
What is the median?The median is a measure of central tendency in statistics that represents the middle value of a data set when it is arranged in order. It is the value that separates the upper half of the data from the lower half.
This is because if the median is less than the mean, it indicates that there are some values in the data set that are larger than the mean, which would result in a skewed distribution to the right.
If the data set is skewed to the right, there will be more values on the left-hand side of the dot plot, and the median will be less than the mean. This is a common characteristic of skewed data distributions, and it is likely that the data on the amount of time Jane spent drying her hair each morning is not evenly distributed.
The correct answer is median is less than the mean.
To know more about the median follow
https://brainly.com/question/30503220
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X
Y
Which segment is the triangle?
Answer:
be more pacific
Step-by-step explanation:
The sum of all digits of some number is 210. The number is always divisible by:
A. 3
B. 2
C. 5
D. 9
E. 10
Please show work and I will mark brainlist.
Answer:
2
Step-by-step explanation:
so so that you could get both halves, we had to divide by two then I got 105 +105 meaning 210 could be divided by 2
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Job Satisfaction Score Probability
IS Senior Executives IS Middle Managers
1 0.06 0.04
2 0.09 0.10
3 0.03 0.13
4 0.42 0.45
5 0.40 0.28
(a) What is the expected value of the job satisfaction score for senior executives?
(b) What is the expected value of the job satisfaction score for middle managers (to 2 decimals)?
Answer:
a) The expected value of the job satisfaction score for senior executives is:
= 4.01
b) The expected value of the job satisfaction score for middle managers is:
= 3.83
Step-by-step explanation:
a) Data and Calculations:
Job Satisfaction Probability
Score
IS Senior Executives IS Middle Managers
1 0.06 0.04
2 0.09 0.10
3 0.03 0.13
4 0.42 0.45
5 0.40 0.28
Low of 1 = very dissatisfied
High of 5 = very satisfied
Job Satisfaction IS Senior Executives IS Middle Managers
Score Probability Expected Value Probability Expected Value
1 0.06 0.06 (1 * 0.06) 0.04 0.04 (1 * 0.04)
2 0.09 0.18 (2 * 0.09) 0.10 0.20 (2 * 0.10)
3 0.03 0.09 (3 * 0.03) 0.13 0.39 (3 * 0.13)
4 0.42 1.68 (4 * 0.42) 0.45 1.80 (4 * 0.45)
5 0.40 2 (5 * 0.40) 0.28 1.40 (5 * 0.28)
Expected value 4.01 3.83
Pleaseeee helppppppppp
Answer:
5.616 x 10^6
Step-by-step explanation:
Im sure that it's right.
My teacher is mean to me I think she hates me can someone help me
Answer:
4=5/6
5=12/12
6=9/10
7=1/2
8=1/5
Step-by-step explanation:
hiii
Answer:
here are some good fraction calculators that could help you!
https://www.fractioncalc.com/https://www.calculatorsoup.com/calculators/math/fractions.phphttps://www.calculator.net/fraction-calculator.htmlHope these help ya :))
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir
The probability of winning the jackpot is 1/32728332.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).
Total number of white balls = 43
Number of combinations of selecting 5 from 43 = 43C₅
= 43! / (5! × 38!)
= 962598
Total number of gold balls = 34
Number of combinations of selecting 1 from 34 = 34C₁
= 34
Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332
There is only 1 way for which the player wins the jackpot.
Probability of winning the jackpot = 1/32728332
Hence the required probability is 1/32728332.
Learn more about Combinations here :
https://brainly.com/question/13027684
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(20 POINTS)What is the slope-intercept form of the equation
the line that passes through the points (9, 5) and (4, 1)?
A) y = 4/5x - 4/5
B) y = 4/5x + 2/5
C) y = 4/5x - 11/5
D) y = 4/5x + 41/5
Answer:
i think option are not accurate
Step-by-step explanation:
look at given picture for more information
Find the area of the
triangle.
9 cm
22 cm
[?] cm2
Answer:
11
Step-by-step explanation:
Half base times height
Simplify.
Remove all perfect squares from inside the square root.
√52x^4
Answer is: 2x^2 √13
Answer:
2x^2 √13
Step-by-step explanation:
Web Consultants, Inc., pays Alice Rose an annual salary of $56,800. Today, Alice’s boss informs her that she will receive a $7,300 raise. What percent of Alice’s old salary is the $7,300 raise?
Answer: 13%
Step-by-step explanation:
To answer this question we can simply take her raised salary by her old salary...
(Put this into a calculator) 7300/56800=0.13
$7300 is 13% of her old salary
1. You have applied for two scholarships: the TRIO Opportunity Grant (TOG) and the Vermont Opportunity in Education (VEOP) scholarship. From data collected over the years, the probability that you receive the VEOP scholarship is 0.25, the probability that you receive both scholarships is 0.15, and the probability that you get at least one of these scholarships is 0.37. a. What is the probability that you receive the TOG
Answer:
0.27 = 27% probability that you receive the TOG scolarship.
Step-by-step explanation:
I am going to solve this question treating these probabilities as Venn probabilities.
I am going to say that:
Event A: TOG scolarship
Event B: VEOP scolarship
The probability that you receive the VEOP scholarship is 0.25
This means that [tex]P(B) = 0.25[/tex]
Probability that you receive both scholarships is 0.15
This means that [tex]P(A \cap B) = 0.15[/tex]
The probability that you get at least one of these scholarships is 0.37.
This means that [tex]P(A \cup B) = 0.37[/tex]
What is the probability that you receive the TOG?
This is P(A). These measures are related by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A) = P(A \cup B) + P(A \cap B) - P(B)[/tex]
Replacing with the values in this question
[tex]P(A) = 0.15 + 0.37 - 0.25 = 0.27[/tex]
0.27 = 27% probability that you receive the TOG scolarship.
write a statement that describes the relationship between these two sequence 6,7,8,9,10 and 18,21,24,27,30
I need some help with this
9514 1404 393
Answer:
(a) 216
Step-by-step explanation:
Put 5 where n is in the formula to find the 5th term. Do the arithmetic.
a5 = (5 +1)^3 = 6^3 = 216
The 5th term is 216.
on a recent hike through riverbend park antoinette traveled 2/3 mile in 1/3 hour . Which unit rate describes antoinettes speed in miles per hour
Answer:
Her speed is of 2 miles per hour.
Step-by-step explanation:
Velocity:
The velocity is given by the following formula:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance and t is the time.
2/3 mile in 1/3 hour .
This means that [tex]d = \frac{2}{3}, t = \frac{1}{3}[/tex]
Which unit rate describes antoinettes speed in miles per hour?
This is v. So
[tex]v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2[/tex]
Her speed is of 2 miles per hour.
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
It is 276.32
The equation is 2 times pi times radius times height, plus 2 times pi times radius squared.
r=radius
h=height
π=pi (3.14)
The radius is half the diameter and is given. It is 4.
The height is also given. It is 7.
So, follow GEMDAS and plug it in.
(2 x 3.14 x 4 x 7) + (2 x 3.14 x 4^2)
Plug it into the calculator and it will give you 276.32.
Hope this helps!
Have a great day and please rate and put thanks if it helped.
Also, if you can, mark me!
someone please help me i’ll give you brainliest
Answer:
its b
can i have brain im about to level up
whats 1/8 y = 38 ?
how would i do this
Answer:
304
Step-by-step explanation:
I divided 38 by 1/8 and then checked if 304 times 1/8 equals 38
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{8}y = 38}[/tex]
[tex]\large\textsf{MULTIPLY 8 to BOTH SIDES}[/tex]
[tex]\mathsf{8 \times \dfrac{1}{8}y = 8\times 38}[/tex]
[tex]\mathsf{Cancel\ out: 8 \times \dfrac{1}{8}\ because\ that\ gives\ you\ 1}[/tex]
[tex]\mathsf{Keep: \ 8\times38\ because\ that\ helps\ you\ solve\ for\ your\ answer}[/tex]
[tex]\mathsf{y = 8\times38}[/tex]
[tex]\mathsf{8\times38 = \bf 304}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 304}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A store purchased glass vases for $4.50 and sold them for $7.58. What is the mark-up, as a percentage?
Round your answer to the nearest percent and include a percent sign (%).
Answer:
30%
Step-by-step explanation:
jusr subtract
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? *
Answer:
The mark up percentage of the book is 603.35 percent with respect to its initial price.
Step-by-step explanation:
Given that a book costs $ 1.49 and is sold in a retail store for $ 8.99, in order to determine what is the percentage in mark up, the following mathematical operations must be performed:
(8.99 / 1.49) x 100 = X
6.0335 x 100 = X
603.35 = X
Thus, the mark up percentage of the book is 603.35 percent with respect to its initial price.
Create a mapping diagram of X and Y for the ordered pairs
(-2,4), (0, 1), (2,-5).
Is this relation a function?
WALLAHI HELP ME PLEASE
Answer:
The answer is D) dotted line, shaded above
Step-by-step explanation:
Hope this helpsss :)
Find the indicated term of the given geometric sequence.
a1 = 11, r = 3.4, n = 7
Answer:
a₇ = 16992.84
Step-by-step explanation:
Given that,
a₁ = 11, r = 3.4 and n = 7
The geometric sequence is given by :
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Put all the values,
[tex]a_7=11\times (3.4)^{7-1}\\\\=11\times (3.4)^6\\\\=16992.84[/tex]
So, the seventh term is equal to 16992.84.
what is the slope of a line with one point at (6,3) and another point at (8,2)
Find the solution(s) to (x + 2)^2 = 49. Check all that apply.
Jax played baseball. His batting average for the season was 0.362. What is his batting average in the expanded form
Answer:
Jax should quit baseball hes bad at it
Step-by-step explanation:
Solve the system
y= 17x – 6
y= 12x + 44
Answer:
×=10 y= 164
Step-by-step explanation:
we take the first equation and replace it on the second equation where there is y
What is the side length of a cube with a volume of 64 cubic inches?
Answer:
4
Step-by-step explanation:
4x4x4=64
Answer:
4
Step-by-step explanation:
volume of a cube = L³
V=L³
L=
[tex] \sqrt[3]{v}[/tex]
L =
[tex] \sqrt[3]{64} [/tex]
L = 4