Answer:
Step-by-step explanation:
If your mind works better in degrees than it does radians, as does mine, it will be beneficial to us to see what degree measure this angle is. Convert it to degrees using the fact that 180° = π:
[tex]\frac{2\pi}{3}*\frac{180}{\pi}=120[/tex] degrees
Now that we know that, we can plot that angle in a coordinate plane. The terminal side of the angle lands in quadrant 2. To find the reference angle, we subtract 120 from 180 and get that the reference angle is 60 degrees, which is the same as π/3.
I WILL MARK BRAINLIEST PLS HELP ASAP
Math the graph with the correct equation
A. y + 3 = -(x+5)
B. y - 3 = -(x+5)
C. y - 5 = -(x+3)
D. y - 3 = (x+5)
Answer:
B
Step-by-step explanation:
[tex]m = \frac{0 - ( - 2)}{ - 2 - 0} = - 1[/tex]
use the point (-5,3)
y-3=-(x-(-5)) = y-3= -(x+5)
Answer: B. y - 3 = -(x + 5)
Step-by-step explanation:
Find two easy points on the graph to calculate the slope:
(-2, 0)(0, -2)The slope is calculated using [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], so substitute in the values:
[tex](x_{1}, y_{1}) = (-2, 0)\\(x_{2}, y_{2}) = (0, -2)\\ \frac{y_{2}-y_{1} }{x_{2}-x_{1}} =\frac{(-2)-0}{0-(-2)} =\frac{-2}{0+2} =\frac{-2}{2} =-1[/tex]
The y-intercept is where it intersects the y-axis. It's -2.
Therefore, if you put it together, the function would be y = -x - 2
Solve each answer choices and find the one that matches the function:
B.[tex]y-3=-(x+5)\\y-3=-x-5\\y=-x-5+3\\y=-x-2[/tex]
Zachary just accepted a job at a new company where he will make an annual salary of $43000. Zachary was told that for each year he stays with the company, he will be given a salary raise of $4000. How much would Zachary make as a salary after 9 years working for the company? What would be his salary after tt years?
Answer:
if I'm not wrong the answer should be 403,000
there are 12 space suits that fit into one box. how many are needed for 2400 space suits
Answer:
200 boxes
Step-by-step explanation:
We can use ratios to solve
12 suits 2400 suits
------------ = ------------
1 box x boxes
Using cross products
12x = 1*2400
12x = 2400
Divide by 12
12x/12 = 2400/12
x =200
We need 200 boxes
Answer:
200
Step-by-step explanation:
1 box = 12
Box? = 2400.
DIVIDE
What is the value of the unknown angle (2x)
Answer:
2x = 44
Step-by-step explanation:
115+94+107+2x = 360
2x = 360 -316 = 44
x = 22
Answer:
Step-by-step explanation:
115+94+107+2x=360 degree(sum of interior angles og four angles is always 360 degree)
2x+316=360
2x=360-316
x=44/2
x=22
substitute the value of x in 2x
=2x
=2*22
=44
11. Two of every 7 birds landing on
Mischa's feeder are sparrows. Today,
42 birds landed on her feeder. How
many of the birds would you expect to
be sparrows?
A 6
B 12
C 21
D 35
Answer:
B) 12
Step-by-step explanation:
2/7 is the original ratio
7 × 6 = 42
2 × 6 = 12
Q2. Draw the following vectors and determine the resultant
F1 = 2N at 45 degrees
F2 = 6N in the direction of West
Can someone please help me with this I'm really stuck!!!
Answer:
we use side of triangle to find area and divide by 2 so first one is 15*15+ 8*15/2 225+60=285
need these Questions answered ASAP!!!!
What is the value of [image below]?
–38
–14
6
38
Answer:
6
Step-by-step explanation:
We can find the sum by find all 4 terms
n=1
(-1) (( 3*1)+2) = -1 *5 = -5
n=2
(-1)^2 ( 3*2 +2) = 1(6+2) = 8
n= 3
(-1)^3 ( 3*3+2) = -1 ( 9+2) = -11
n=4
(-1)^4 (3*4 +2) = 1( 12+2) = 14
Add them together
-5+8-11+14
6
Answer:
C. 6
Step-by-step explanation:
hope this helps :)
What is the coordinate of the midpoint of segment AC
Answer:
-5.5
Step-by-step explanation:
[tex]\frac{-7+-4}{2}\\\\\frac{-11}{2}\\\\-5.5[/tex]
A membership committee for a local community group consists of twenty-two individuals. a. If a task force of eight members of this committee must be formed to investigate the membership rules, how many different task force groups might possibly be formed
Answer:
319,770 different task force groups might possibly be formed
Step-by-step explanation:
The order in which the members of the task force are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[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]
In this question:
Groups of 8 from a set of 22. So
[tex]C_{22,8} = \frac{22!}{8!(22-8)!} = 319770[/tex]
319,770 different task force groups might possibly be formed
If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Step-by-step explanation:
Math is a language
say you plant two posts that are 5ft apart and you want to get up to 60ft
right now you've covered 5ft and now have 60 - 5 = 55ft to go.
you plant the next one: 55 - 5 = 50ft to go
instead of subtracting many times and counting hiw many times we've subtracted, we can use division
60ft / 5ft = 12 posts
to verify, you can multiply 5 and 12 which is the same as adding 5 + 5 + 5 + 5 +... + 5 = 5ft x 12 Posts= 60ft in total length
There are 12 posts for 60 feet of straight line fence.
Here,
Given that,
Post are space 5 feet apart.
We have to find number of posts for 60 feet of straight line fence.
What is Division method?
This method of distributing a group of things into equal parts is termed as division.
Now,
We can division method to find number of posts for 60 feet of straight line fence.
Here, Post are space 5 feet apart.
Number of posts = [tex]\frac{60}{5} = 12[/tex]
Hence, There are 12 posts for 60 feet of straight line fence.
Learn more about the Division method visit:
https://brainly.com/question/25289437
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What is the best definition of the domain of a relation
Answer:
All of the values that can go into a relation or function (input) are called the domain. ... The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.
The volume of a right circular cylinder with radius r and height h is Vrh. Is the volume an increasing or decreasing function of the radius at a fixed height%E2%80%8B (assume r0 and h%E2%80%8B0)?
Answer:
The rate of change of volume of the cone with respect to radius is [tex]\frac{2}{3}\pi\times rh\\[/tex].
Step-by-step explanation:
radius of come = r
height of cone = h
Volume of cone
[tex]V = \frac{1}{3}\pi\times r^2 h[/tex]
As the height is constant, the rate of change of volume with respect to radius is given by the derivative of volume with respect to radius.
[tex]\frac{dV}{dr}=\frac{1}{3}\pi\times {2r}h\\\\\frac{dV}{dr}=\frac{2}{3}\pi\times rh\\\\[/tex]
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Answer:
snafnjnfnEWfnwenlfnwenflwenlfewfwefư
Hello guys can somebody please help me solve this equation
Answer:
a) cosA=5/13 b) sinA=12/13
Step-by-step explanation:
Look at the needed angle, then use SOHCAHTOA!
Answer:
cos A = 5/13, sin A = 12/13
Step-by-step explanation:
Watch the picture for help.
sin A = a/c (According to the picture)
cos A = b/c (According to the picture)
Will give brainliest pls help!!!!
Answer:
3rd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{5}{3}[/tex] and c = - 3 , then
y = - [tex]\frac{5}{3}[/tex] x - 3 ← equation of line
The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the equation of line s?
Answer:
[tex]y=-\frac{1}{4}x+2[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form:[tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope of line S using line R (m)
[tex]y=-\frac{1}{4} x+3[/tex]
We can identify clearly that the slope of the line is [tex]-\frac{1}{4}[/tex], as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be [tex]-\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{1}{4}x+b[/tex]
2) Determine the y-intercept of line S (b)
[tex]y=-\frac{1}{4}x+b[/tex]
Plug in the given point (-4,3) and solve for b
[tex]3=-\frac{1}{4}(-4)+b\\3=1+b[/tex]
Subtract 1 from both sides to isolate b
[tex]3-1=1+b-1\\2=b[/tex]
Therefore, the y-intercept is 2. Plug this back into [tex]y=-\frac{1}{4}x+b[/tex]:
[tex]y=-\frac{1}{4}x+2[/tex]
I hope this helps!
If correct ill give brainly
Answer:
Hello! answer: x = 16
Step-by-step explanation:
16 × 16 = 256
12 × 12 = 144
256 + 144 = 400
√400 = 20 therefore x = 16 hope that helps!
Answer:
23
Step-by-step explanation:
PLS HELP WILL GIVE BRAINEST
Answer:
D. is your answer
Step-by-step explanation:
Answer:
A'(0,20), B'(16,12), C'(8,4)
Step-by-step explanation:
Assuming the dilation is about the origin,
then after the dilation with a factor of 2, all coordinates will be doubled.
A(0,10) => A'(0,20)
B(8.6) => B'(16,12)
C(4.2) => C'(8,4)
So the answer is A'(0,20), B'(16,12), C'(8,4)
In a recent survey of gun control laws, a random sample of 564 women, 313 favored stricter gun control laws. In a random sample of 588 men, 307 favored stricter gun control laws. Can it be concluded at the .05 level of significance that a lower proportion of men favor stricter gun control than women
Answer:
The p-value of the test is 0.1314 > 0.05, which means that it cannot be concluded at the .05 level of significance that a lower proportion of men favor stricter gun control than women
Step-by-step explanation:
Before solving the question, we need to understand the central limit theorem, and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Test if a lower proportion of men favor stricter gun control than women:
At the null hypothesis, we test if the proportion is the same, that is, the difference of the proportions if 0. So
[tex]H_0: p_M - p_W = 0[/tex]
At the alternative hypothesis, we test if it is less, that is, the subtraction of the proportions is negative. So
[tex]H_1: p_M - p_W < 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
In a recent survey of gun control laws, a random sample of 564 women, 313 favored stricter gun control laws.
This means that:
[tex]p_W = \frac{313}{564} = 0.555[/tex]
[tex]s_W = \sqrt{\frac{0.555*0.445}{564}} = 0.0209[/tex]
In a random sample of 588 men, 307 favored stricter gun control laws.
This means that:
[tex]p_M = \frac{307}{588} = 0.522[/tex]
[tex]s_M = \sqrt{\frac{0.522*0.478}{588}} = 0.0206[/tex]
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the samples:
[tex]X = p_M - p_W = 0.522 - 0.555 = -0.033[/tex]
[tex]s = \sqrt{s_M^2+s_W^2} = \sqrt{0.0206^2+0.0209^2} = 0.029[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-0.033 - 0}{0.029}[/tex]
[tex]z = -1.12[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion difference greater than 0.033, which is the p-value of z = -1.12.
Looking at the z-table, z = -1.12 has a p-value of 0.1314.
The p-value of the test is 0.1314 > 0.05, which means that it cannot be concluded at the .05 level of significance that a lower proportion of men favor stricter gun control than women
how many days are there in xweeks and x days
Answer:
7 DAYS IN A WEEK
Step-by-step explanation:
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDA
7 DAYS
Answer:
it depends... What is X in this situation?
Step-by-step explanation:
A week has seven days.
A day has one day..?
I dont know how to help you, Sorry
In a class of 32 students, the mean height of the 14 boys is 1.56 meters, the mean height of all 32 students is 1.515. Work out the mean height of the girls
Answer:
I'm not sure but I did do it on a calculator so 1.515-1.56= -0.045
A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence interval for the population mean. Round your answers to one decimal place. ( , ) b. Assume that the same sample mean was obtained from a sample of items. Provide a confidence interval for the population mean. Round your answers to two decimal places. ( , ) c. What is the effect of a larger sample size on the interval estimate? Larger sample provides a - Select your answer - margin of error.
Answer:
(a): The 95% confidence interval is (46.4, 53.6)
(b): The 95% confidence interval is (47.9, 52.1)
(c): Larger sample gives a smaller margin of error.
Step-by-step explanation:
Given
[tex]n = 30[/tex] -- sample size
[tex]\bar x = 50[/tex] -- sample mean
[tex]\sigma = 10[/tex] --- sample standard deviation
Solving (a): The confidence interval of the population mean
Calculate the standard error
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{10}{\sqrt {30}}[/tex]
[tex]\sigma_x = \frac{10}{5.478}[/tex]
[tex]\sigma_x = 1.825[/tex]
The 95% confidence interval for the z value is:
[tex]z = 1.960[/tex]
Calculate margin of error (E)
[tex]E = z * \sigma_x[/tex]
[tex]E = 1.960 * 1.825[/tex]
[tex]E = 3.577[/tex]
The confidence bound is:
[tex]Lower = \bar x - E[/tex]
[tex]Lower = 50 - 3.577[/tex]
[tex]Lower = 46.423[/tex]
[tex]Lower = 46.4[/tex] --- approximated
[tex]Upper = \bar x + E[/tex]
[tex]Upper = 50 + 3.577[/tex]
[tex]Upper = 53.577[/tex]
[tex]Upper = 53.6[/tex] --- approximated
So, the 95% confidence interval is (46.4, 53.6)
Solving (b): The confidence interval of the population mean if mean = 90
First, calculate the standard error of the mean
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{10}{\sqrt {90}}[/tex]
[tex]\sigma_x = \frac{10}{9.49}[/tex]
[tex]\sigma_x = 1.054[/tex]
The 95% confidence interval for the z value is:
[tex]z = 1.960[/tex]
Calculate margin of error (E)
[tex]E = z * \sigma_x[/tex]
[tex]E = 1.960 * 1.054[/tex]
[tex]E = 2.06584[/tex]
The confidence bound is:
[tex]Lower = \bar x - E[/tex]
[tex]Lower = 50 - 2.06584[/tex]
[tex]Lower = 47.93416[/tex]
[tex]Lower = 47.9[/tex] --- approximated
[tex]Upper = \bar x + E[/tex]
[tex]Upper = 50 + 2.06584[/tex]
[tex]Upper = 52.06584[/tex]
[tex]Upper = 52.1[/tex] --- approximated
So, the 95% confidence interval is (47.9, 52.1)
Solving (c): Effect of larger sample size on margin of error
In (a), we have:
[tex]n = 30[/tex] [tex]E = 3.577[/tex]
In (b), we have:
[tex]n = 90[/tex] [tex]E = 2.06584[/tex]
Notice that the margin of error decreases when the sample size increases.
Surface area of a cylinder. (see attached image please)
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Firstly you need to remember the formula to find out surface area of a cylinder - Surface area of a cylinder = 2πr ( r + h ) where r is the radius of a circular face and h is the height of the cylinder.We're provided : Diameter of cylinder = 12 which means radius ( r ) = 6 cm [ Radius is the half of diameter ] & Height ( h ) = 25 cm & we know pi ( π ) = 22/7.[tex] \large{ \tt{❁ \: LET'S \: SOLVE}} : [/tex]
[tex] \large{\boxed{ \tt{☄TOTAL \: SURFACE \: AREA \: OF\: CYLINDER= 2\pi \: r \: ( \: r + h)}}}[/tex]
- Plug the values & then simplify !
[tex] \large{↦2 \times \frac{22}{7} \times 6(6 + 25) }[/tex]
[tex] \large{↦2 \times \frac{22}{7} \times 6 \times 31}[/tex]
[tex] \boxed{\large{↦1169.14 \: \tt{ {cm}^{2} }}}[/tex]
Hence , The surface area of given cylinder is 1169.14 cm²✺ Stay dedicated because great things takes time! ♪
シHope I helped! ♡
☃Have a wonderful day / evening ! ☼
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Question 1 of 25
This table shows the population of owls in a park in different years. The
quadratic regression equation that models these data is
y -1,34x2 - 10,75x - 11.3
Year
Number of owls
1
0
2
2
3
7
4
14
6
4
Using this model, the predicted number of owls in year 8 is about - 11. Does
this prediction make sense? Why or why not?
PREVIOUS
Answer:
No, it doesn't make sense, as we cannot have a negative population of owls.
Step-by-step explanation:
Obtaining a the quadratic model :
y = -1,34x2 - 10,75x - 11.3 ; by fitting the data above ;
To obtain the number of owls after 8 years, we have ;
y = -1,34x2 + 10,75x - 11.3
put x = 8 in the equation
y = -1,34(8)^2 + 10.75(8) - 11.3
y = - 85.76 + 86 - 11.3
y = - 11.06
y = - 11
This figure dies not make sense, as we cannot have a negative population of a certain specie such as owls at any given time.
Answer:
No, because you can't have a negative number of owls.
Step-by-step explanation:
us
Find the circumference of this circle
ysing 3 for a
C ~ [?]
20
C=πα
Answer:
[tex]2*\pi *10=62.83185307[/tex]
[tex]20/2 = 10[/tex]
[tex](Radius)[/tex][tex]Or the C = \pi*d[/tex]
62.83185307 is the answer
Answer:
C≈60
Step-by-step explanation:
remember circumference formula
[tex] \displaystyle C = 2\pi r[/tex]
given that,d=20 therefore r would be 20/2=10 thus substitute:
[tex] \displaystyle C = 2\pi .10[/tex]
simplify mutilation:
[tex] \displaystyle C = 20\pi [/tex]
substitute the given value of π:
[tex] \displaystyle C = 20.3[/tex]
simplify multiplication:
[tex] \displaystyle C = 60[/tex]
and we are done!
The length of a rectangle is 4 meters less than three times its width. Its area is 319 square meters. What are the dimensions of the rectangle?
The width is
m.
The length is
m.
Answer:
length =29m width =11m
Step-by-step explanation:
length---L
width -----W
L=3W-4
area=319sqm
area of rectangle=L × W
area of rectangle =W ×(3W - 4)=319
expanding...
3W^2 - 4W=319
3W^2 - 4W -319=0
factorize
(W-11)(3W+29)=0
W=11 or -29/3
using the positive because the negative width with a minus sign does not make sense in real life, we use 11m
width =11m
length 3W -4=3(11) -4 =29m
How do you apply frequency distribution table in real life?
Answer:
As a statistical tool, a frequency distribution provides a visual representation for the distribution of observations within a particular test. Analysts often use frequency distribution to visualize or illustrate the data collected in a sample.
Geometry need to find the lengths of DE , EF AND DF , respectively? ASAP
Answer:
option D
because every length is one fifth of the corresponding length of the bigger triangle