The standard form of an equation with p = 3/2 and phi=300 degrees is; x(√3) + y - 3 = 0
What is the Standard form of the equation?
The standard form of this type pf equation has the general format as;
x(cos Ф) + y(sin Ф) = p
where;
p is perpendicular distance from origin
Ф is the angle between perpendicular and the positive x-axis.
Now, we are given;
p = 3/2
Ф = 30°
Thus, the equation of these given values will be expressed as;
x(cos 30) + y(sin 30) = 3/2
We know, that;
cos 30 = (√3)/2
sin 30 = 1/2
Thus, we have;
x((√3)/2) + y(1/2) = 3/2
Multiply through by 2 to get;
x(√3) + y = 3
⇒ x(√3) + y - 3 = 0
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Terrell ran around a track that was 100 yards long.
How many feet did he run?
Answer:
300ft
Step-by-step explanation:
Answer:
300 ft
Step-by-step explanation:
1 yd = 3 ft
100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft
Answer: 300 ft
For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.
a. A researcher randomly assigns a group of 25 unemployed workers to receive a new job skills program and 24 other workers to receive the stan- dard job skills program, and then measures how well they all do on a job skills test.
b. A researcher measures self-esteem in 21 students before and after taking a difficult exam.
c. A researcher tests reaction time of each member of a group of 14 individuals twice, once while in a very hot room and once while in a normal- temperature room.
Answer:
1. T test for independent means
2. T test for dependent means
3. T test for dependent means
Step-by-step explanation:
In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.
- The groups in the experiment are unrelated
- The tests in the research are unrelated
- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.
In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.
Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 37%; that is, 37% of criminals return to prison within three years. One hundred random prisoners are made to attend a "boot camp" for two weeks before their release, and it is hoped that "boot camp" will have a good effect. Suppose 32 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of
This question is incomplete, the complete question is;
Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 37%; that is, 37% of criminals return to prison within three years.
One hundred random prisoners are made to attend a "boot camp" for two weeks before their release, and it is hoped that "boot camp" will have a good effect. Suppose 32 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of 37%.
a) what is p. sample proportion of successes?
b) what is p0, the hypothetical proportion of success under the null hypothesis
c) what is the value of test statistic
Answer:
a) sample proportion of successes is 0.32
b) the required value of p₀ is 0.37
c) the required test statistics value is -1.0356
Step-by-step explanation:
Given the data in the question
100 prisoners attend boot camp and 32 of them return to prison within three years
x = 32
n = 100
recidivism rate for the whole state = 37% = 0.37
a)
what is p. sample proportion of successes
p" = x / n
we substitute
p" = 32 / 100
p" = 0.32
Therefore, sample proportion of successes is 0.32
b)
what is p₀, the hypothetical proportion of success under the null hypothesis
given that;
the population recidivism rate for the whole state is 37%;
p₀ = 37%
p₀ = 0.37
Therefore, the required value of p₀ is 0.37
Null hypothesis H₀ : p₀ = 0.37
Alternative hypothesis Hₐ : p₀ ≠ 0.37
c)
what is the value of test statistic
Z = (p" - p₀) / √([tex]\frac{p_0(1-p_0)}{n}[/tex])
so we substitute
= (0.32 - 37) / √([tex]\frac{0.37(1-0.37)}{100}[/tex])
= -0.05 / √0.002331
= -0.05 / 0.04828
= -1.0356
Therefore, the required test statistics value is -1.0356
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
2 0 4 3 1.
Step-by-step explanation:
u mean 10 points
Write and solve an equation to determine the height of a rectangular prism
with a width of 6 millimeters, a length of 20.5 millimeters, and a volume
of 984 cubic millimeters.
PLEASE HELP
Answer/Step-by-step explanation:
H = V/lw
H = 984/20.5*6
H = 984/128
H = 8
ANSWER:
H = 8
You work and your hourly wage is $12.25 if you work 40 hours this week ,how much money would you make before taxes?
Answer:
$490
Step-by-step explanation:
Since one hour of work is $12.25, 40 hours is $490.
12.25 x 40 = 490
------------------
John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”
Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.
Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.
Answer:
180,000
Step-by-step explanation:
You got to multiply all the numbers and then divide by 600 and then you het your anwser
What is the simplified value of the expression below?
StartFraction 7 times 8 + 20 (4.5) over 16 times 0.5 EndFraction
18.25
21.38
110.25
119.50
Answer:
C: 110.25
Step-by-step explanation:
The simplification form of the provided expression is 18.25 option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a mathematical expression:
[tex]= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}[/tex]
= (56 + 90)/8
= 146/8
= 18.25
Thus, the simplification form of the provided expression is 18.25 option (A) is correct.
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110 calories
5 gummy bears
What is the unit rate per gummy bear?
Answer:
348.7 Calories (per 100 g)Step-by-step explanation:
Answer:
it is 22 because if you divide 110 ÷ 5=22
NANDARIINI RINNERIE MIRANI INDONESIA NOUTATI x2 - 7 when x = 8 mundo
Answer: 57
Step-by-step explanation:
x² - 7
When x = 8
= x² - 7
= 8² - 7
= 64 - 7
= 57
jawabannya adalah 57
what is the radius of a sphere whose surface area is 100cm²?
Answer:
r≈2.82
Step-by-step explanation:
Hope this helps and have a great day!!!
Step-by-step explanation:
that can help you
Which of the equations below could be the equation of this parabola?
Answer:
The correct answer is C
Your welcome:)
The equation below could be the equation of this parabola is y = -5x².
Option A is the correct answer.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
We have,
Since the parabola vertex is at (0,0) and is open to the left, the equation of the parabola must be of the form:
y = a x², where a is a positive constant.
Now,
The only equation that fits this form is y = -5x².
Thus,
The equation below could be the equation of this parabola is y = -5x².
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Jason built a model of the Pentagon for a social studies project. He made each outside wall 33 centimeters long. What is the perimeter of Jason’s model pentagon?
Answer:
165 centimeters
Step-by-step explanation:
A pentagon has 5 sides
Each side is 33 centimeters long
5 x 33 = 165
6-4x+6(x-2) solve for x
Answer:
x=3
Step-by-step explanation:
6-4x+6(x-2)
6-4x+6x-12
-4x+6x=12-6
2x=6
x=3
PLS HELP THIS IS TRIGONOMETRY!!!! PLS SHOW STEPS
Answer:
third side =√{30²+16²)=34
sin theta/2=16/34
theta/2=sin-¹(16/34)
theta=28.07×2=56.14
Jose purchased a delivery van for his business through an online auction. His winning bid for the van was $34,750. In addition, Jose incurred the following expenses before using the van: shipping costs of $1,470; paint to match the other fleet vehicles at a cost of $1,590; registration costs of $4,836, which included $4,600 of sales tax and an annual registration fee of $236; wash and detailing for $141; and an engine tune-up for $318.
Required:
What is Jose’s cost basis for the delivery van?
Answer:
Jose's cost basis for the delivery van = $42,410
Step-by-step explanation:
Cost basis of a fixed asset can be described the original value of an asset for tax purposes which includes the purchase price, shipping, installation, sales tax, and other costs incurred that are related to the purchase of the fixed asset and to make it be in conformity with other assets in its class.
Based on this explanation, Jose's cost basis for the delivery van can be calculated as follows:
Jose's cost basis for the delivery van = Winning bid + Shipping costs + Cost of painting to match other fleet vehicles + Sales tax = $34,750 + $1,470 + $1,590 + $4,600 = $42,410
PLEASE HELP ME W THIS
9514 1404 393
Answer:
(b) C = dπ
Step-by-step explanation:
The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...
π = C/d
Rearranging to get a formula for the circumference, we have ...
C = dπ
Fill in the blanks
will choose brain
if GameStop buys a video game for $35.00 and sells it with a 15% markup. How much does it cost the customer?
Answer:
40.25$
Step-by-step explanation:
PLEASEEEE HELP I WILL MAKE YOU BRAINIEST
Answer:
14
Step-by-step explanation:
Because right angles are 90 degrees, we need to subtract 34 from 90 which gets us 56. That means 56 = 4x, so 56/4 = 14, therefore X = 14.
Hope this helps!
Both angles form a right angle which is 90 degrees.
Angle 2 would equal 90 degrees - angle 1
Angle 2 = 90 -34 = 56
So now we know 4x = 56
To find x divide both sides by 4
X = 14
In ΔUVW, w = 11 cm, ∠W=8° and ∠U=132°. Find the area of ΔUVW, to the nearest square centimeter.
Answer:
208
Step-by-step explanation:
Delta math
Y=1/4 x + 2 which is the equation of a line parallel to the line with the equation
You need two bottles of fertilizer to treat the flower garden that has a perimeter of 42 feet. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?
Answer:
5
Step-by-step explanation:
One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?
9514 1404 393
Answer:
7.5×10^3 grams
Step-by-step explanation:
Your calculator can tell you the product of the weight of each times the number of them. It is ...
(1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams
About 7.5 kg.
The manager of the customer service department of an e-commerce company wants to know the average hold time for customers who call the department. The department receives about 850 calls each hour. The following data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2. Calculate the approximate hold time for all customers who call the customer service department.
The approximate hold time for all customers who call the customer service department is A 4 minutes. B 3 minutes. cannot be calculated from the given data. d 7 minutes
Answer:
The answer is approximately 3.
Step-by-step explanation:
You add all the numbers and then divide by 10
The approximate hold time for all customers who call the customer service department is 3 minutes.
What is a mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
For the given situation,
The department receives about 850 calls each hour.
The data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2.
The approximate hold time for all customers who call the customer service department is calculated by mean as
⇒ [tex]\frac{sum of number of data sets}{Total number of data sets}[/tex]
⇒ [tex]\frac{2+1+4+5+3+3+7+4+3+2}{10}[/tex]
⇒ [tex]\frac{34}{10}[/tex]
⇒ [tex]3.4[/tex] ≈ [tex]3[/tex]
Hence we can conclude that the approximate hold time for all customers who call the customer service department is 3 minutes.
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Is (4, 3) a solution to the inequality 7x + 5y = 15?
yes
no
Answer:
no
Step-by-step explanation:
7x+5y=15
(x,y)
(4,3)
put in 4 for x and 3 for y
7(4)+5(3)=15
43=15
This equation is impossible
Hope that helps :0
Step-by-step explanation:
7x+5y=15 (x=4,y=3)
7(4)+5(3)=15
28+15=15
43>15
they are no equal
follow me
Convert 562 hectograms to pounds to the nearest hundredth
Answer:
Is that your answer
Answer:
123.90
Step-by-step explanation:
1 Hectogram = 0.22 lbs
[tex]562*0.22=123.90\\[/tex]
Select the quadrant or axis where each ordered pair is located on a coordinate plane.
Answer:
(-5,7) 2nd (8.5,-4) 4th (0,5) y-axis
Step-by-step explanation:
Which is the graph of x - y = 1?
y
y
5
5
4
4
3
3
3
2
2
2
1
1
4
3
1 2
5
5
4-3-2-1,
1 2 3 4 5 X
4
1 2 3
5-4-3-2-11
5-4-3-2-1
2
-2
2-
-3
3
4
4
5
5
ly
5
4
3
Answer:
the 3rd graph
Step-by-step explanation:
The graph which represents x-y = 1 is; The 3rd graph.
Graph of a straight lineFrom the task content, the given equation of the line is; x - y = 1.
By rearranging the equation to take the slope-intercept form;.
y = x - 1.Hence, slope of the graph is 1 and the y-intercept of the graph is -1.
On this note, only the 3rd graph satisfies the conditions above.
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How does the stimulus check impact society please help me please i really need help please
Answer:
The stimulus check impacts society because it helps people or rather encourages people to invest. Not only individuals but also businesses. It also shows how the stimulus check gives more than peoples incomes. Not everyone can get the stimulus check, only tax payers who pay taxes every year and have a public job. This impacts society because not everyone can get the stimulus check, and some people receive lots of money and other people might get just a little. At the end of the day, it all depends on how much taxes you are paying each year and which job you have.
Hope this helps! :)