Answer:
Step-by-step explanation:
[tex]\tan22=h_1/200,\ \tan29=h_2/200
h_2+h_1=200(\tan29+\tan22)
H\approx 191.667ft
H\approx 191’ 8”
Thirty security personnel need to be hired. They will work one week on and one week off for 20 hours per week. If they are paid $15/hour, what is the security labor cost for a four-week month?
Answer:
$18,000
Step-by-step explanation:
Step 1.
Figure out how much it costs to hire one security personal for a month
2×20×15
=600
$600 per person per month
Step 2.
Multiply that number by the no. of people needed to be hired
600×30
=18000
∴ The security labor cost for a four-week month is $18,000
Margo is planning a vacation. Assume that they have 2 possible destinations: beach or mountains. There are 2 vacation areas in the beach destination with 5 available condos for 1 of the areas, and 4 available condos for the other areas. There are 3 mountain destinations with 1 available condo for 2 of the areas, and 3 available condos for the other areas. A trip plan involves the selection of a destination, area, and a condo. First, draw out the tree diagram representing making these choices below:
Required:
a. How many outcomes are there in the sample space?
b. Write out the event "Margo picks a beach destination" in set notation.
Answer:
There are 14 outcomes in the sample space.
x= { x/x ∈ b, where b≠0 }
Step-by-step explanation:
The tree diagram is as follows
Sample Space
Margo→→→→Beach (b)→→→→→→→1 destination→→→→→→→5 condos 5
║ ║→→→→→→→→→→2 destination→→→→→→→→→4 condos 4
║
║
║→→→→→Mountain (m) →→→→→→→→1 destination→→→→→→ 1condo 1
║→→→→→→→→→→2 destination→→→→→ 1condo 1
║→→→→→→→→→→ 3destination→→→→→ 3 condos 3
Part a:
There are 14 outcomes in the sample space .
5+4+1+1+3= 14
Part b:
Margo picks a beach destination in set notation is
x= { x/x ∈ b, where b≠0 }
x such that x belongs to b ( beach destination) and b is not equal to zero.
A triangle has sides with lengths of 7 yards, 8 yards, and 9 yards. Is it a
right triangle?
Answer:
No, it is not a right triangle.
Step-by-step explanation:
A right triangle will follow the Pythagorean Theorem: a² + b² = c²
c is the hypotenuse, or the longest side. In this case, it is 9.
That means a and b are 7 and 8.
Now let's plug in the values to see if they simplify correctly.
(7)² + (8)² = (9)²
Simplify the exponents.
49 + 64 = 81
Add the left side.
113 = 81
The above expression is not true; therefore, this triangle is not a right triangle.
Which expression is a factor of
g(x) = 36x2 + 23x - 3
If x is a positive integer, and x = 3y = 6z, what is the value of x + y in terms of z?
F. 3z
G. 5z
H. 8z
J. [tex]\frac{25}{3} z[/tex]
K. [tex]\frac{31}{3}z[/tex]
Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that at least 2 graduates have a summer job
Answer:
0.7667 = 76.67% probability that at least 2 graduates have a summer job
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term.
This means that [tex]p = 0.4[/tex]
6 graduates.
This means that [tex]n = 6[/tex]
What is the probability that at least 2 graduates have a summer job
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.4)^{0}.(0.6)^{6} = 0.0467[/tex]
[tex]P(X = 1) = C_{6,1}.(0.4)^{1}.(0.6)^{5} = 0.1866[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0467 + 0.1866 = 0.2333[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.2333 = 0.7667[/tex]
0.7667 = 76.67% probability that at least 2 graduates have a summer job
I don't understand exponents well best answer gets brainly
Answer:
i think its 125
Step-by-step explanation:
since 5^7 = 78,125 and 5^4 = 625
then it would be 78,125
---------- = 125
625
sorry if im wrong ;-;
A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?
Answer:
Scale factor: 1.8
Step-by-step explanation:
AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13
AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13
AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8
Which fraction is in simplest form?
17
51
19
30
21
24
21
35
3⁷×3-⁴ I need help asap!
Hope it helps
Have a good day Ahead
Answer:
the answer will be 27
Step-by-step explanation:
A liter of water contains about 3.35 * 10 ^ 25 molecules. A certain river discharges about 2.4 * 10 ^ 7 of water every second. About how many molecules does the river discharge every minute?
Answer: 3.6791719e+46
Step-by-step explanation :
3.35 * 10 = 33.5 ^25
molecules per litre = 33.5 ^ 25
2.4 * 10 = 24 ^ 7 = 4,586,471,424 ( we'll assume this is ml as the question doesn't specify ) so thats 4,586,471,424ml discharged every second which is 4,586,471 litres per second. 4,586,471 * 60 seconds in a minute = 275,188,260 litres discharged every minute.
molecules per litre is 33.5 ^ 25 and litres discharged per minute is 275,188,260
so the answer would be : 275,188,260 * 33.5 ^ 25 = 3.6791719e+46 (in other words a big number)
Check yourself ^
Vie
What is the y-intercept of the line with the equation y = 4x+ 2?
a-2
C. 2
b 4
d.
NIN
Please select the best answer from the choices provided
A
D
Mark this and retum
Save and Exit
Next
Answer:
c. 2
Step-by-step explanation:
the Y- intercept is 2 because it says +2
Classify each statement about the function f(3) = 323 +6 as true or false.
Answer:
true.
false
true.
false.
Step-by-step explanation:
1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it not to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.
2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.
3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.
4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.
-y = 3(-x)³ + 6 now lets see what happens it we let x = 2
For the original equation: y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30
Now we try the test equation: -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18
So -y = -18
So y = 18
The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.
Thus, the origin is not a point of symmetry. False.
I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.
The Domain = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry.
Domain, range, and y-interceptGiven the function [tex]f(x)=3x^3 + 6[/tex]
Domain and range are the value of input and output that the function exists.
For the given function, the domain and range exist on all real numbers.
Domain = (-∞, ∞) and Range = (-∞, ∞)
The y-intercept occur at (x) = 0
g(0)= 3(0)^3 + 6
g(0) = 6
Hence the Domain = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry. False.
Learn more on range and domain here: https://brainly.com/question/2264373
how many ways can 60 baseball cards be arranged in rows containing the same number of cards?
Answer:
10 ways, 6 in each pile
or 6 ways, 10 in each pile
Step-by-step explanation:
I’m stuck please help me
Answer:
7
Step-by-step explanation:
→ First find the hypotenuse of length 2 and 3
√2² + 3² = √13
→ Use it to find the length of d
√6² + (√13)² = 7
This year, John played in 10 baseball games. In these games he had hit the ball 2,3,1,1,3,2,4,6,2, and x times. The mean is 3 hits per game. Find the missing value
Answer:
x = 3
Step-by-step explanation:
The mean is the average so set up an equation that adds up all the points and divides them by the total, set equal to 3, and solve for x
(2+3+1+1+3+2+4+6+2+x)/10 = 3
(24 + x)/10 = 3
24 + x = 30
x = 6
To check if this is correct, add up all the numbers and divide by 10.
2+3+1+1+3+2+4+6+2+6 = 30/10 = 3
Answer:
Step-by-step explanation:
To solve this problem, we need to use the formula for calculating the mean or average of a set of data, which is:mean = sum of all values / number of valuesLet's first find the mean of John's hits in the 10 games he played this year:mean = (2+3+0+1+3+2+4+0+2+3) / 10 = 2.0So, John's mean hits per game in the 10 games he played this year is 2.0.To increase his mean by 0.5 in the first 10 games he plays next year, John needs to achieve a mean of 2.5 hits per game. Let's call the total number of hits John needs to achieve this mean "x".To find "x", we can use the formula for calculating the mean again:2.5 = (total number of hits in the next 10 games + total number of hits in the previous 10 games) / 20Multiplying both sides by 20, we get:total number of hits in the next 10 games + total number of hits in the previous 10 games = 50Substituting the total number of hits in the previous 10 games with the sum of all hits John had in those games, we get:total number of hits in the next 10 games + (2+3+0+1+3+2+4+0+2+3) = 50Simplifying this equation, we get:total number of hits in the next 10 games = 50 - 20 = 30Therefore, John needs to achieve a total of 30 hits in the first 10 games he plays next year to increase his mean hits per game by 0.5. So, the answer is (3) 20.
1. The ratio of 2h to 30min is
A. 1:15
B. 4:1
C. none of these
Answer:
B. 4:1
Step-by-step explanation:
Since its 2 hours:30 minutes, in hours that is 2:1/2. So then if you want it in whole numbers you just multiply 2:1/2× 2 which would be 4:1.
The circumference of the earth is approx. 40,000 km.
a) What is the diameter of the earth?
b) Calculate the volume of the soil
Plz help mee
A. 49.75
B.74.75
C.156
D.1196
Answer:
B: 74.75
Step-by-step explanation:
If four roommates (I don't know how to spell it) want to divide the prize of a computer which costs 299 is the same as: 299/3 which gives you 74.75
What is the density of a 64-g iron cube that displaces 8 mil of water?
Answer: 8gml
Step-by-step explanation:
Rewrite the equation using the distributive property
2(9x+4)
Answer:
18x+8
Step-by-step explanation:
distribute
2 x 9x = 18x
2 x 4 = 8
Hope This Helps!!
Admission to the circus costs $4 plus $0.50 per ride. Ella spent $17.50 at the circus.
Answer:
Ella went on 27 rides.
Step-by-step explanation:
$17.50 - $4 = $13.50
Determine whether each of the properties described applies to volumetric or graduated glassware.
a. Used for applications in which great accuracy is needed __________
b. Capable of measuring a range of volumes of liquid _________
c. Designed to measure one specific volume of liquid _________
Answer:
a. volumetric glassware
b. Graduated glassware
c. volumetric glassware
Step-by-step explanation:
The graduated glassware and the volumetric glassware is the factory calibrated used to deliver such as the graduated cylinders and pipettes and it contains the volumetric flask of a known amount of the liquid.
A volumetric glassware is a type of the laboratory flask and a graduated glassware is mostly of the cylinder shape and is also known as the measuring cylinder.
In the context,
a). The volumetric glassware is used in the applications where much accuracy is needed to perform the experiment.
b). Graduated glassware is used for measuring a wide range of volume of the liquid used in the laboratory,
c). The volumetric glassware is used to measure one specific amount of the volume of the liquid to be used.
choose the fraction that is greater than 3/18, is less than 50/100, and has 9 as it denominator
Answer:
3/9 or 4/9
Step-by-step explanation:
A study shows that unemployment has not impacted white-collar and blue-collar workers equally (Newsweek, April 20, 2009). According to the Bureau of Labor Statistics report, while the national unemployment rate is 8.5%, it is only 4.3% for those with a college degree. It is fair to assume that 27% of people in the labor force are college educated. You have just heard that another worker in a large firm has been laid off. What is the probability that the worker is college educated
Answer:
0.137
Step-by-step explanation:
The computation is shown below:
Educated = 0.27
And, unemployed to educated is 0.043
Now probability of educated and unemployed is
= 0.043 × 0.27
= 0.1161
So, the educated would be
= 0.01161 ÷ 0.085
= 0.137
The distance from the origin to the point (-6, 8) is
Answer:
10
Step-by-step explanation:
[tex]\sqrt{(-6-0)^2+(8-0)^2} =10.[/tex]
In which type of economic system, does the government handle decisions related to the production of goods and services?
A.
command
B.
market-driven
C.
mixed
D.
market
Answer:
D Market
Step-by-step explanation:
the production determines how the goods and services are destributed and applied so the goods can flow all based off of the market
Answer:
Step-by-step explanation:
The answer is 'command'.
Which statements are correct based on the graph? Select all that apply.
BCDE is rotated 90° to form JKLM.
PQRS is rotated 90° to form JKLM.
BCDE is rotated 180° to form JKLM.
JKLM is rotated 180° to form BCDE.
PQRS is rotated 180° to form BCDE.
Answer:
2,3,4
Step-by-step explanation:
hope this helps=D
Answer:
B,C,D
Step-by-step explanation:
Can you please help me thanks
Answer:
34.1x
Step-by-step explanation:
Each hour adds 34.1 more earnings. 4 x 34.1 = 136.4. 16 x 34.1 = 545.6 and so on and so forth.
Answer:
The cost per hour is 34.1
Step-by-step explanation:
136.40/4=34.1
545.60/16=34.1
716.10/21=34.1
the proportional is 34.1 in the earnings and time in an hour.
4. Which of the following is a pair of vertical angles?
Angles 1 and 4
Angles 1 and 3
Angles 1 and 2
Angles 1 and 8
Answer:
Angles 1 and 8 because they are vertically aline
Answer:
Angles 1 and 8
Step-by-step explanation:
i took the test