Answer:
The angle between Great Falls and Lemhi is approximately 3.02°
Step-by-step explanation:
The location parameters are;
The Great Falls location = 47.5° N, 111.3° W
The location of Lemhi = 45.5 °N and 113.5 °W
Therefore, we have;
The angle between the Great Falls and the poles, AP = 90° - 47.5° = 42.5°
The angle between Lemhi and the poles, PB = 90° - 45.5° = 44.5°
The angle between the lines of longitude, P = 113.5° - 113° = 0.5°
By the law of cosines for Sides of a spherical triangle, we have;
CosAB = cos AP·cosPB + sinAP·sinPB·cosP
Where;
AB = The angle between Great Falls and Lemhi
∴ CosAB = cos(47.5°) × cos(44.5°) + sin(47.5°) × sin(44.5°) × cos(0.5°) ≈ 0.9986
AB ≈ arccos(0.9986) ≈ 3.02°
The angle between Great Falls and Lemhi ≈ 3.02°
w(n)= -n-2; Find w(10)
Answer: w(10) = -12
Step-by-step explanation:
w(n) = -n - 2; Find w(10)
w(10) = -(10) - 2
w(10) = -10 - 2
w(10) = -12
is this right? and if not pls tell why but if I'm right tell why anyway
Answer:
Thats right
Step-by-step explanation:
Model 2 is just Model 1 divided into 3 parts.
Since only 1 of those three parts is shaded, its 1/3.
Which statement describes the system of equations?
[x+2y-2
Ix-2y--2
It has infinitely many solutions.
O It has no solution.
It has one solution (0, 1).
It has one solution (4, -1).
Answer:
x+2y=2.....(1)
x-2y=2......(2)
(substrate 1 in 2
x=2
substitutes x in 1
2+2y=2
4y=2
y=4/2
y=2
you roll two 6-sided number cubes
where is the question I dont see it
Write the quadratic equation whose roots are 6 and 2, and whose leading coefficient is 2
Answer:
Step-by-step explanation:
y = 2(x-6)(x-2) = 2(x²-8x+12) = 2x² - 16x + 24
99165+67894321-9872345
Answer:
58121141
Step-by-step explanation:
99165+67894321= 67993486
67993486-9872345= 58121141
1)Find the angle of elevation of the sun from the ground when a tree that is
14ft tall casts a shadow 16ft long. Round to the nearest degrees
Answer:
[tex]\theta=41.18^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}[/tex]
So, the required angle of elevation of the sun is equal to [tex]41.18^{\circ}[/tex].
01:37:06
Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2)? Select two
options.
Oy=x+1
3x - 4y = -4
4x - 3y = -3
Oy-2 = (x-4)
By+2 = (x +4)
Save and Exit
Next
Submit
Mark this and return
Answer:
3x - 4y = -4
Step-by-step explanation:
When you put co-ordinate in it then give zero
3(-4)-4(-2)+3=0
3x-4y=-4 equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is 3x - 4y = 7
Convert it to slope intercept form
-4y = 7 - 3x
4y=-7+3x
y=-7/4+3/4x
y=3/4x-7/4
3/4 is the slope and the parallel line should also have the same slope.
Now equation of line passing through (-4, -2)
-2=3/4(-4)+b
-2=-3+b
-1=b
So y=3/4x-1
3x-4y=-4 is another equation represents the line which is parallel.
Hence, 3x-4y=-4 equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2).
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ7
Researchers make a one-sample zzz interval to estimate the proportion of adults who would say they learned something new in the past month. Previous studies have suggested that about 40\%40%40, percent would answer "yes" to this question. The researchers plan on using a confidence level of 95\%95%95, percent, and they want the margin of error to be no more than \pm 5\%±5%plus minus, 5, percent.
Answer:
369
Step-by-step explanation:
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
What is a margin of error?The margin of error is the amount of error or uncertainty in a statistical estimate, usually an estimate of a population parameter based on a sample.
We have,
To create a one-sample z-interval, the following steps can be followed:
Determine the sample size (n) and the sample proportion p.
Since no sample size or proportion is given in the problem, we cannot proceed with this step.
Determine the level of confidence (C) for the interval. In this case, the researchers want a confidence level of 95%, so C = 0.95.
Find the critical value (z*) for the level of confidence.
This can be done using a standard normal distribution table or a calculator.
For a 95% confidence level, the critical value is 1.96.
Calculate the margin of error (ME) using the formula:
ME = z x √(p x (1 - p) / n)
Since the margin of error is given as no more than ±5%, we can set it equal to 0.05 and solve for the required sample size:
0.05 = 1.96 x √(0.4 x (1 - 0.4) / n)
Solving for n, we get:
n = (1.96 / 0.05)² x 0.4 x (1 - 0.4)
n ≈ 384.16
Since the sample size must be a whole number, we round up to the nearest integer and get n = 385.
Therefore,
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
Learn more about margin of error here:
https://brainly.com/question/10501147
#SPJ3
6500 divide by 100. step by step
Answer:
6500 / 100 = 65
Step-by-step explanation:
if you are dividing a number that has zeros by 10/100/1000... you can cancel out the zeros to find the answer.
Write a denominator for 3/8 and 2/12
Answer:
24
Step-by-step explanation:
8 * 3 = 24
12 * 2 = 24
(the star is the multiplication sign)
Hope this helps :)
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9
different charms for your bracelet.
How many different charm bracelets is it possible to create?
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
Hope this helps(and also if you have a more refined wording please put it in the comments)!
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
Write a polynomial function of least degree that has real coefficients, the following zeros: 1,5,3+i and a leading coefficient of 1
Answer:
no te entiendo
yo también la busco
What is the common difference for this arithmetic sequence?
-6, -2, 2, 6, 10, ...
Answer:
4
Hope it helps
Please mark me as the brainliest
Thank you
common difference = t2 - t1 for all terms.
therefore d = -2 - (-6)
= -2 + 6
= 4
hope it helps :D
solve -4(x+2)-2x+4 plzzzzzzzzzzzzzzzzzzzz
Answer:
-6x-4
Step-by-step explanation:
Answer:
-6x-4
Step-by-step explanation:
Three points are coplanar
sometimes
Never
Always
Answer:
Never:
Step-by-step explanation:
because its more understandable we know this because it wouldnt be always
How much will a shopper save on a TV that is on sale for 25% off the regular price of $399.99
Answer: $99.99
Step-by-step explanation:
$399.99 * .25 (discount) = $99.99
Find the area of the triangle.
Answer:
182.82812
Step-by-step explanation:
A model rocket is built to the scale 1:20, or 1 inch - 20 feet. The actual rocket is 4440 feet
tall. How tall is the model rocket in inches?
A 11.1
B. 18.5
C. 222
D. 240
Answer:
it is 222
Step-by-step explanation:
1440 divided by 20 :)
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
2 and 4
Step-by-step explanation:
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
pls help me I'm stuck on this one too
Answer:
the answer is 11
I hope it helps
have a nice day
#Captainpower
giving BRAINLIEST for the correct answer !!
Answer:
x<4
Step-by-step explanation:
HELP ME
The circumference of the base of a cylinder is 20 inches. The height of the cylinder is 5 inches. Find V.
Answer:
20 happy to helPNMNJHUJN
Step-by-step explanation:
Please help ASAP due soon pretty easy question just stuck
Answer:
x=4 z=117
Step-by-step explanation:
Answer:
x = 4, z = 117
Step-by-step explanation:
14x + 7 and 63 are vertically opposite angles and are congruent, then
14x + 7 = 63 ( subtract 7 from both sides )
14x = 56 ( divide both sides by 14 )
x = 4
z and 63 are adjacent angles and are supplementary, then
z + 63 =180 ( subtract 63 from both sides )
z = 117
According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate. Suppose that you select a random sample of 46 Americans. (a) Calculate the expected number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.) (b) Calculate the standard deviation of the number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.)
Answer:
a) 8.74
b) 2.6607
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
According to a survey, about 19% of all Americans are without health insurance.
This means that [tex]p = 0.19[/tex]
Suppose that you select a random sample of 46 Americans.
This means that [tex]n = 46[/tex]
(a) Calculate the expected number of Americans without health insurance in the sample.
[tex]E(X) = np = 46*0.19 = 8.74[/tex]
(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]
Solve the systems of equations problem using Elimination.
{3x+6y=27
{x+2y=11
Please clearly explain how you got your answer.
What is the area of the shaded region?
16 cm
A. 25.16 cm
B. 27.52 cm
C. 50.24 cm
D. 55.04 cm
What is -1
What is the answer
Answer:
1
Step-by-step explanation:
The answer is actually just positive 1.
Absolute value is the direct opposite of a number with a positive value on a number line. However, the absolute value is always answered in a positive form of the number meaning that no matter what the number is (even if it's a positive number) the answer will always be that same number, but in positive form.
Remember, if a number is in between two of these " | " then the answer will be that same number but in positive form.
Hope this helps and have a nice day.
-R3TR0 Z3R0
Determine whether the underlined number is a statistic or a parameter. Choose the correct statement below. because the value is a numerical measurement describing a characteristic of a . because the value is a numerical measurement describing a characteristic of a . because the value is a numerical measurement describing a characteristic of a . because the value is a numerical measurement describing a characteristic of a .
Complete question :
Determine whether the underlined number is a statistic or a parameter.
"In a study of all 4841 students at a college, it is found that 55% own a computer."
Answer:
because the value is a numerical measurement describing a characteristic of a population.
Step-by-step explanation:
The difference between statistic and parameter lies in the fact that, statistics are used in describing the numerical value obtained from a sample of data. While parameter are used to describe the numerical characteristics of a population.
Hence, all students of a college refers to the population(entire students). Therefore, the numerical characteristics obtained from such data would be called a parameter.