Answer:
4:25:6 would be the simplest form
Draw a line tangent to the circle at the point (0, 4). Write an equation for this tangent line. Explain your work.PLEASE HELP
Answer:
y = 1/4x + 4
Step-by-step explanation:
Check attachment below
Answer:
[tex]170[/tex]
Step-by-step explanation:
The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.
[tex]wx = 2(42x + 1)[/tex]
We can add up that and the other arcs to 360.
[tex]2(42x + 1) + 29x - 1 + 65x + 3[/tex]
[tex]84x + 2 + 29x - 1 + 65x + 3 = 360[/tex]
[tex]178x + 4 = 360[/tex]
[tex]178x = 356[/tex]
[tex]x = 2[/tex]
Plug in 2 for WX.
[tex]84(2) + 2 = 170[/tex]
Evaluate the six trigonometric functions of the angle 0
7
5
sin =
csc =
cos =
sec 0 =
tan A=
cotA=
Answer:
sin=The sin of an acute angle is defined in the context of a right triangle.
csc= The length of the hypotenuse divided by the length of the side opposite the angle.
cos= The length of the adjacent side divided by the length of the hypotenuse.
sec 0=The ratio of the length of the hypotenuse to the length of the adjacent side is the secant of an angle in a right-angled triangle.
tan A=In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
cotA= In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side.
Step-by-step explanation:
John took all his money from his savings account. He spent $108 on a radio and 5/9 of what was left on presents for his friends. Of the money remaining, John put 5/6 into a checking account and the last remaining $80 was left to charity. How much money did John originally have in his savings account?
Answer:
I believe its 313$
Step-by-step explanation:
John originally have $1,118 in his savings account.
Here,
We have to find the original savings account of John.
What is Number system?
A system of writing to express numbers is called Number system.
Now,
Let us assume amount of money John originally have in his savings account = $x
Money spent on a radio = $108
Remaining money = x - 108
Money spent on presents for his friends = Two third of remaining money = 5/9 (x - 108).
(Because 1 - 5/9 = 1/1 - 5/9 = 4/9)
Remaining money = 4/9 (x - 108).
Five sixth of his remaining money into a checking account = 5/6 * 4/9(x - 108)
( because 1 - 5/6 = 1/1 -5/6 = 1/6)
Remaining money = 1/6 *4/9 (x - 108).
Final remaining money = 1/6 *4/9 (x - 108)
And that is equal to the money donated to charity.
We can setup an equation now.
1/6 *4/9 (x - 108) = 80
4(x - 108) = 80 * 9 *6
x - 108 = 20 * 54
x = 1080 + 108
x = 1,188
Therefore, John originally have $1,118 in his savings account.
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Samantha opened a savings account and deposited $200.00. The account earns 10% interest, compounded monthly. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?
Answer:
200(1.10^1)
Step-by-step explanation:
sam bought 4kg of red apples some yellow apples and 3 kg of green apples she bought a total of 9,000 whats the mass of the yellow apples
PLEASE HELP ITS DUE TODYA PLEASE HELP!!!!!!!
Answer:
AC = 7.8 cm
Step-by-step explanation:
AE² = 6² - 3² = 36 - 9 = 27
AE = √27 = 5.196
EC² = 4²- 3² = 16 - 9 = 7
EC = √7 = 2.646
AC = 5.196 + 2.646 = 7.84 cm
Find the exact value of the expression cos-1(1/2)
Answer:
60
Step-by-step explanation:
Plug it into the calculator
A mayoral candidate in a large metropolitan area has hired you to take a poll to determine the proportion of registered voters who plan to vote for him. He would like you to report a 95% confidence interval with a margin of error no more than 0.04. Whiat is the smallest sample size that will produce an interval with these specifications?
Answer:
The smallest sample size that will produce an interval with these specifications is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
He would like you to report a 95% confidence interval with a margin of error no more than 0.04. What is the smallest sample size that will produce an interval with these specifications?
We have to find n for which M = 0.04.
We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when the smallest sample size needed will have it's largest value.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up
The smallest sample size that will produce an interval with these specifications is 601.
I need help hurry!!!!
Answer:
none of the above is a pythagorean triple
Rani takes a 40-question test. She answers 5% of the questions incorrectly
How many questions does she answer incorrectly? Show your work.
Answer:
2 Questions.
Step-by-step explanation:
To calculate a how much a percentage is of a number, you multiply the number by the percent.
So, we have the equation:
40 x 0.05 = 2
So, Rani got 2 questions incorrect.
Hope this helps!
A Packaging Company produces boxes out of cardboard and has a specified weight of 16 oz. A random sample of 36 boxes yielded a sample mean of 15.3 oz. Given the standard deviation is 1.7 oz, obtain a 99% confidence interval for the true mean weight of the boxes. Interpret your results in the context of the problem. State the margin of error.
Answer:
The margin of error is of 0.73 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{1.7}{\sqrt{36}} = 0.73[/tex]
The margin of error is of 0.73 oz.
The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.
The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
What is the measure of DEF
The calculated measure of the arc DEF is 204 degrees
Calculating the measure of arc DEFFrom the question, we have the following parameters that can be used in our computation:
The circle
The measure of the arc intercepted by the angle DEF is calculated as
Arc DF = 2 * DEF
When the given values are substituted in the above equation, we have the following equation
Arc DF = 2 * 78
So, we have
Arc DF = 156
The measure of arc DEF is then calculated as
Arc DEF = 360 - 156
Evaluate
Arc DEF = 204
Hence, the measure of the arc DEF is 204 degrees
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find the volume of a box whose length breadth and height are 28 CM 18 cm and 10cm respectively
I will mark them as brainlists all the best
The origin is a point anywhere along the x-axis. True or False
Answer:
False
Step-by-step explanation:
The origin is at 0 on the x-axis, and 0 on the y-axis. Hence, (0,0) lies on both the axis.
hope this helps and is right. p.s. i really need brainliest :)
if my answer is wrong then i am incredibly sorry!
The statement "The origin is a point anywhere along the x-axis" is False.
What is Origin?Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.
As, The intersection of the x and y axes in a coordinate plane is where the origin is located.
Coordinates can be used to name any point on the coordinate plane.
The coordinates are where the origin is ( 0, 0 ).
So, the x- coordinate is 0 and y- coordinates is 0.
Hence, the given statement is False.
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Find the compound amount and compound interest on $6000 invested at 6%
compounded continously for 6 years. Use e = 2.71828
(Round value of exponential expression upto 4 decimal places.)
Answer:
$8,511.1147
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^n
P is the amount invested = $6000
r is the rate = 6% = 0.06
t is the time = 6yrs
A is the compound amount
A = 6000(1+0.06)^6
A = 6000(1.06)^6
A = 6000(1.4185)
A = 8,511.1147
Hence the compound amount to 4dp is $8,511.1147
A line that passes through the point (-4,6) with a slope of 2. The equation of that line in slope is y=......... X+?
Answer:
y=2x-2
Step-by-step explanation:
help pls giving branliest
Answer:
https://youtu.be/TZbTr1oBwKU
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75. A sample of 30 days reveals a daily mean revenue of $625. If you were to test the null hypothesis that the daily mean revenue was $675, which test would you use
Answer:
One sample t test
Step-by-step explanation:
A one proportion sample t test is employed when we intend to test the sample mean of a certain sample against a particular or specified population property . In the scenario above, we could use the information given to obtain the one sample proportion test statistic by using the formular :
Test statistic = (xbar - μ) ÷ (σ/sqrt(n))
Where, xbar = sample mean ;
μ = population mean
σ = population standard deviation
n = sample size
Using the test statistic, we can then obtain the Pvalue and compare to the specified α - level
write 10075302 in words in both the Indian system and international system and rearrange the digits to get the smallest number
Answer:
answer
Step-by-step explanation:
1,00,75,302= One crore seventy five thousand three hundred two
Rearranging the digits,
Largest number = 7,53,21,000
Smallest number = 1,00,02,357
1. Solve the inequality. x/8 >4
Answer:
X > 32
Step-by-step explanation:
Brainliest?
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
1 and 3, 2 and 4, 1 and 2, 3 and 4
5 and 7, 6 and 8, 5 and 6, 7 and 8
Step-by-step explanation:
Which best describes an angle?
A. Two distinct rays that originate from a common point
B. Two parallel lines on a plane
C. The set of all points equidistant from a particular point
D. A line with a starting point that extends to infinity
Will give to the brainliest!!
A political scientist claims that negative advertising on television affects younger voters more than it affects older voters. To test this claim, the scientist obtained data from two random samples of voters categorized into two age-groups, older and younger. The null hypothesis was that there was no difference in the proportions of voters in the two age-groups who would be affected by negative ads. The alternative hypothesis was that the proportion of younger voters affected would be greater than the proportion of older voters affected.
Assuming all conditions for inference were met, the scientist conducted the test at a significance level of α=0.05α=0.05. The resulting pp-value was 0.206. Which of the following is the correct decision for the test?
a. The pp-value is less than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters
b. The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
c. The pp-value is greater than αα, and the null hypothesis is not rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
d. The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
e. The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
Answer:
E
Step-by-step explanation:
Since the pp-value exceeds, the null hypothesis is not ruled out. The argument that younger voters are more impacted by negative advertisements than older ones is supported by compelling evidence. The correct option is C.
How to get the null Hypothesis?The null hypothesis is accepted as the P value is greater than the significant level.
Given :
Percentage older voters = po
Percentage younger voters = py
H0: po = pL
Ha: py > pL
Pvalue = 0.206; α = 0.05
Decision Region :
If Pvalue > α ; We can not reject H0
In the scenario above,
P value> α ; 0.206 < 0.05; Hence, we can not reject the Null.
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Please help!! Due in 45 minutes.
Answer:
[tex]x = \frac{56}{9} , y =-\frac{26}{3}[/tex]
Step-by-step explanation:
Calculator work :)
Which of the following ratios are equivalent?
O A. 5:7 and 10:12
O B. 2:3 and 12:20
O C. 6:7 and 18:21
O D. 8:9 and 32:27
Answer:
:::::::::
C. 6:7 = 18:21
answer: it is C
Step-by-step explanation:
6 = 18 because 6 times 3 is 18. And 7 times 3 = 21. so they are both equivalent.
hope it helps :)
An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Answer:
it takes 3 hour
Step-by-step explanation:
ypir welcome
Somone PLEASE answer this thanks!
A movie complex is showing the same movie in three theaters. In theater A, 44 of the 80 seats are taken. In theater B, 42 seats are taken and 28 seats are empty. In theater C, 27 of the 90 seats are empty. Which theater has the greatest percent of its seats taken? Which theater has the greatest of its seats taken ?
Answer:
Theater C
Step-by-step explanation:
Theater A has 80 seats, 44 of which are taken. 44/80 can be simplified to 11/20, which is 0.55 in decimal form, and 55% in percent form.
Theater B has 70 seats, because 42+28 = 70. 42 of those 70 seats are taken. 42/70 is 60%
Theater C has 90 seats, and because 27 are empty, we can subtract 27 from 90, which leaves us at 63 seats are taken. 63/70 is 70%
70% is the biggest percentage, so Theater C has the greatest seats taken.
I hope this helps! :))
In 2015, the population of the United States was about 320 million people. About 7 out of 10 Americans live in urban areas. How many Americans live in or near large cities? 224 million 32 million 96 million 10 million
plz I need help fast
for the function f(x)=4/3x+8, what is the average rate of change over any given interval
a. 4
b. 3
c. 4/3
d. 3/4
Answer:
C i think i hope it helps
have a good night