Answer:
Step-by-step explanation:
hello : the equation is : √3 sinθ= -3 cosθ means :
sinθ/cosθ = -3/√3
sinθ/cosθ = - √3 because : 3 =√3 ×√3
but : sinθ/cosθ = tan θ
tan θ = - √3 and - √3 = tan( π - π/3) = tan(2 π/3)
you have : tan θ = tan(2 π/3)
note : tanx=tany means : x= y + k π ... k in Z
so : all solutions in R are θ = 2 π/3+k π ... k in Z
Can someone help me pls
Answer:
AB = 18
Step-by-step explanation:
tan 45° = 18/AB
1 = 18/AB
AB = 18
Find the discounted price, to the nearest cent, for a portable CD player that sells for
$59.95 and is on sale for 30% off. (3 points) help pls
Answer:
41.96$
Step-by-step explanation:
To find the discounted price we need to calculate the 30% of the $59.95
and to do that we need to multply 59.95 with 30 and divide it by 100
59.95 x 30 ÷ 100 = 17.985
59.95 - 17.985 = 41.965 and 41.96 is the discounted price
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
#SPJ2
Many employers screen by GPA, in addition to a variety of skills. Suppose a student is in the last semester of college and has a 2.78 GPA after 105 credit hours. If he is taking 15 credit hours in his last semester and gest a perfect 4.0 GPA, what will his overall GPA be? Round to the nearest 2 decimal places. Is it possible to get his GPA up to a 3.0 by graduation?
Answer:
um?
Step-by-step explanation:
Step-by-step explanation:
15*4 = 60 and
105 + 15 =120 and then
x/105 = 2.78
x = 291.9+60
total credit = 351.9 then
351.9/120 =2.9325
Round 2 decimal place is
2.93
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.
Jamal purchased a truck for $10,000. The truck depreciates 10% each year. What is the value of
the truck after 8 years? Round 2 decimal places.
Answer:
Step-by-step explanation:
Uui
Bailee plots two points on the coordinate grid. She put point J at (3,9) and (8,2)
Answer:
B. 8.6 units
Step-by-step explanation:
I've plotted both points on the picture below. The distance between the two points is 8.6023252670426 units, which is closest to B, 8.6 units. As a result, B is the answer to this question.
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.
Jasmine conducted a survey of 83 people. 17/of them chose fish as their favorite dinner. How many would you expect to
choose fish out of the population of 250 people?
Answer:
52
Step-by-step explanation:
Ok, so first, we should find the fraction and turn that into a decimal. Do this by dividing the numerator by the denominator.
17/83 = 0.2048192771.
Now, we simply multiply our decimal by the new amount of people.
0.2048192771 x 250 = 51.2048192771.
Lastly, we should round our number up, as you can't possibly have a fraction of a person.
Our final answer is that roughly 52 people will be choosing fish, according to this sample
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
Solve each of the following equations. Show its solution set on a number line. 5− p+6 =−8
5-|p+6|=-8
5-distance=-8= distance of them= 13
|p+6|=13
distance between/from p and -6
= -19 or 7,
So
Please Make me the brainliest pls
WALLAHI HELP ME PLEASE
Answer:
The answer is D) dotted line, shaded above
Step-by-step explanation:
Hope this helpsss :)
1
2. Which line has a slope of 4? Real answers and explanations please, NO LINKS
Line A
5
Line B
Line C
o
5
10
A line A
Cline C
D None
Bline B
9514 1404 393
Answer:
D None
Step-by-step explanation:
The steepest line shown is line A, which has a rise/run = 5/2. It is not a slope of 4.
No line shown has a slope of 4.
Tarzan leaned a 100-foot ladder against the side of a building. The
hase of the ladder is 18 feet from the base of the building. The top of
the ladder is 16 feet from the top of the building How tall, to the
narest tenth of a foot, is the building?
16
100
18
Answer:
is 16 foot a part from the building
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
1.) The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function fis:
f(x)= x^2
Use function notation to write g in terms of f.
Answer:
g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]
Step-by-step explanation:
We are given these following function:
[tex]g(x) = x^2 + 6[/tex]
And
[tex]f(x) = x^2[/tex]
Use function notation to write g in terms of f.
We can see that function g(x) is f(x) added by 6. So
[tex]g(x) = f(x) + 6[/tex]
g is terms of f is given by: [tex]g(x) = f(x) + 6[/tex]
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.
mike ran 1/2 mile during gym class . how many feet did he run.
130% of what number is 75.4?
PLEASE HELP
Quality Cab charges $1.50 for the first mile
and $0.30 for each additional mile. Comfy
Cab charges $2.40 for the first mile and $0.20
for each additional mile. At what distance
do the two charge the same?
And please add how you did it
Answer:
£4.40
Step-by-step explanation:
you
just
add
it
all
up
I think
Answer: 1.5 + .3m = (20-2)
A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 23.7 ounces and sample standard deviation of 0.8 ounces. . Test the claim by the government agency that the population mean is less than 24 ounces at the 0.01 level of significance.
Answer:
We reject H₀ . We support the feeling of people from a government agency
Step-by-step explanation:
Population information:
Population mean μ = 24 ou
Sample information:
Sample size n = 50 then degree of fredom df = n - 1 = 49
Sample mean x = 23,7
Sample standard deviation s = 0,8
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative hypothesis Hₐ x < μ
Significance level α = 0,01
We can conclude from the alternative hypothesis that we should develop a one tail-test ( to the left " if a local brewery is cheating its customers that mean, they are selling less beer than they are supposed to)
With α = 0,01 and df = 49 we get from t-student table t(c) = - 2,4
To calculate t(s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 23,7 - 24 ) / 0,8/√50
t(s) = - 0,3* 7,07 / 0,8
t(s) = - 2,12 / 0,8
t(s) = - 2,65
Comparing t(c) and t(s)
|t(c)| < |t(s)|
2,4 < 2,65
Then t(s) is in the rejection region we reject H₀ , and agree with a government agency in the fact that at 99 % of confidence interval shows that local brewery is cheating customers
A shipping company charges an oversize package fee if the sum of the
dimensions of the package are more than 60 in. The length of the package you
want to send must be twice its width. What are the dimensions of a package
with maximum volume that avoids the oversize fee?
Answer: Length = 40 inches
Width = 20 inches
Step-by-step explanation:
Let the width of the package be represented by x.
Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x
Since the sum of the dimensions equals 60 inches. This will then be:
x + 2x = 60.
3x = 60
x = 60/3
x = 20
Therefore, the width = 20 inches
Length = 2x = 2 × 20 = 40 inches
The dimensions should be 40 by 20 inches.
which expression can you substitute for x in 5x+y=8 to solve the system below?
5x+y=8
x+4y=2
Answer:
x =30/19 and y =2/19
Step-by-step explanation:
5x + y = 8
x + 4y = 2
then
5x + y = 8
-5(x +4y =2)
5x + y = 8
-5x - 20y = - 10
0 +y - 20y = -2
- 19y = -2
y = 2/19 then
5x + 2/19 = 8
5x = 152-2/19
5x/5 =150/19 *1/5
x =30/19
someone please help me i’ll give you brainliest
Answer:
its b
can i have brain im about to level up
4. Which set is an example of like fractions?
O A. 10/10 and 5/5
O B.74 and 4
O C.2/1 and 23
OD.72 and 32
A
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.
Please help I’ll mark you as brainliest if correct!
Answer: 200+50m>1,250
Step-by-step explanation:
It starts with 200 so that is by itself. The m is added to the number that is changing every so often, in this case $50 a month. They need more than $1,250 so we use the greater than sign.
Can someone help me pls
Answer:
64
Step-by-step explanation:
Answer:
64 Is the answer easy
Step-by-step explanation:
64 is the answer
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