Answer:
its b
Step-by-step explanation:
i took the test
Answer: its b cause i took the test and got it right
tan theta equals 8 / 15 find sine theta + cos theta / cos theta (1 - cos theta)
I guess you have to find
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}[/tex]
given that [tex]\tan\theta=\frac8{15}[/tex].
We can immediately solve for [tex]\sec\theta[/tex]:
[tex]\sec^2\theta=1+\tan^2\theta\implies\sec\theta=\pm\dfrac{17}{15}[/tex]
(without knowing anything else about [tex]\theta[/tex], we cannot determine the sign)
Then we get [tex]\cos\theta[/tex] for free:
[tex]\cos\theta=\dfrac1{\sec\theta}=\pm\dfrac{15}{17}[/tex]
and we can now solve for [tex]\sin\theta[/tex]:
[tex]\sin^2\theta+\cos^2\theta=1\implies \sin\theta=\pm\dfrac8{17}[/tex]
Notice that we have 2*2 = 4 possible choices of sign for either sin or cos.
• If both are positive, then
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{90}[/tex]
• If both are negative, then
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{480}[/tex]
• If sin is positive and cos is negative, then
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{480}[/tex]
• If cos is positive and sin is negative, then
[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{30}[/tex]
Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=
Answer:
(a) 0.5282
(b) 0.4718
Step-by-step explanation:
It is provided that the shipment is accepted if not more than 1 of the 5 keyboards is defective. That is for the shipment to be acceptable there should be at most 1 defective .
It is also provided that the box selected has 6 defective keyboards.
So, the probability of selecting a defective keyboard is, p = 6/20.
Let X = number of defective keyboards.
The random variable X follows a binomial distribution with parameters n = 6 and p = 6/20.
(a)
Compute the probability that this shipment will be accepted as follows:
[tex]P(X\leq 1)=P(X=0)+P(X=1)[/tex]
[tex]=[{5\choose 0}(\frac{6}{20})^{0}(1-\frac{6}{20})^{5}]+[{5\choose 1}(\frac{6}{20})^{1}(1-\frac{6}{20})^{4}]\\\\=0.16807+0.36015\\\\=0.52822\\\\\approx 0.5282[/tex]
Thus, the probability that this shipment will be accepted is 0.5282.
(b)
Compute the probability that this shipment will not be accepted as follows:
P (shipment not accepted) = 1 - P(shipment accepted)
= 1 - 0.5282
= 0.4718
Thus, the probability that this shipment will not be accepted is 0.4718.
what statement makes the open sentences 12+3x= 30 true hurry!!!!
Answer: X=6
you would do 30 - 12 witch equals 18
than you would do 18 divided by 3 witch is 6 so it is x = 6
Please help ❤️ What percent of 24 is 15?
Answer:
62.5
Step-by-step explanation:
There ya gooo :)
Answer:
62.5%
Here You go
Step-by-step explanation:
Why is near impossible to draw a rhombus on Geoboard and easy to draw a square?
Thank you in advance :)
Answer: Think about diagonal sides and horizontal bases.
Step-by-step explanation: "Think outside of the box." as they say.
See the screenshot attached.
How do I solve for x?
Answer:
We will use the thales's theorem to solve for x
Let ? be x
then, the other segment on the same line as x will be 20 - x since the line is 20 units long
According to thales's theorem:
"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"
Hence, we can write that,
9 / 3 = 20-x / x
3x = 20 - x
4x = 20
x = 5 units
Hence, the length of the line segment marked as '?' is 5 units
find the coordinates of the point 3/10 of the way from A to B
Answer:
the coordinates of b is (9,7)
the coordinates of a is (-4,-6)
Step-by-step explanation:
Supposed y varies directly as x and y =21 when x=3
Is perpendicular to the line y = 2x + 1
and through the point (-1,5)
Answer:
-2x+3
Step-by-step explanation:
Using y=mx+b
To make the line perpendicular, you just need to make the slope (m=2) negative. To make it go through (-1, 5), you just need to adjust the b value to raise the graph to a point where it will pass through the point.
Raoul make shell necklaces to sell at a craft fair. the supplies for each necklace cost $3.75. Raoul sells the necklaces for $11.25. what is the percent markup for a shell necklace?
Answer: The percent markup for a shell necklace = 200%
Step-by-step explanation:
Given: Cost price per necklace = $3.75
Selling price per necklace = $11.25
Mark up = (Selling price - Cost price )
= $ (11.25 -3.75 )
=$ 7.5
The percent markup for a shell necklace = [tex]\dfrac{\text{Mark up}}{\text{cost price}}\times100\%[/tex]
[tex]=\dfrac{7.5}{3.75}\times100\%\\\\=2\times100\%=200\%[/tex]
Hence, The percent markup for a shell necklace = 200%
The percent markup for a shell necklace is 200%.
Definition of markupMarkup can be defined as the rate at which the cost of a product is increased. The higher the markup, the higher the profit earned by a seller all things being equal.
Calculation of percentage markupPercentage markup = (profit / cost price) x 100
Profit = $11.25 - $3.75 = $7.50
Percentage markup = ($7.50 / $3.75) x 100 = 200%
To learn more about percentages, please check: https://brainly.com/question/25764815
Find the equation of the line in
slope Intercept form if the
line passes through the
points (-5, -1) and (-4, -1)
Answer:
y=0x-1
Step-by-step explanation:
Slope-int form: y=mx+b
Both points have the same y value and different x values, so the slope (m) is 0.
Since the y-intercept is (0, -1), b=-1
Bradley sold at least 127 juices and coffees. He sold nine more juices than coffee ‘s. What is the minimum amount of coffees Bradley could have sold? And do your answer in the box
Please help
Answer:
59
Step-by-step explanation:
c=coffee, j=juice
c + j >=127
j = c +9
c + c + 9 >=127
2c >=127-9
2c>=118
c>= 59
check by 59+59+9=127
A certain test preparation course is designed to help students improve their scores on the MCAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 7 students' scores on the exam after completing the course: 37,12,12,17,13,32,23 Using these data, construct a 80% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to one decimal place.
Answer:
The 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).
Step-by-step explanation:
The net change in 7 students' scores on the exam after completing the course are:
S = {37 ,12 ,12 ,17 ,13 ,32 ,23}
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{7}\times 146=20.857\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}}=\sqrt{\frac{1}{7}\times 622.8571}=10.189[/tex]
As the population standard deviation is not known, a t-interval will be formed.
Compute the critical value of t for 80% confidence interval and 6 degrees of freedom as follows:
[tex]t_{\alpha/2, (n-1)}=t_{0.20/2, (7-1)}=t_{0.10,6}=1.415[/tex]
*Use a t-table.
Compute the 80% confidence interval for the average net change in a student's score after completing the course as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times\frac{s}{\sqrt{n}}[/tex]
[tex]=20.857\pm 1.415\times\frac{10.189}{\sqrt{7}}\\\\ =20.857\pm 5.4493\\\\=(15.4077, 26.3063)\\\\\approx (15.4,26.3)[/tex]
Thus, the 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).
-4 1/2-(-2 2/3) worked out pls help if someone dosen`t answer i might fail pls
Answer:
The answer is -11/6
Step-by-step explanation:
What is the difference between 65 and -25?
Answer:
40?
Step-by-step explanation:
it literally tells you?
Answer:
90 because 65 plus 25 is 90.
Step-by-step explanation:
65 plus 25 is 90 and
Solve for y
1/3y+2=1/7y
Answer:
y=2
y=0
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7*y-1-(3*y^2+y-1)=0
(7y - 1) - ((3y2 + y) - 1) = 0 3.1 Pull out like factors :
6y - 3y2 = -3y • (y - 2)
Answer:
y = -21/2
Step-by-step explanation:
multiply both sides of the equation by 21 so it would be
7y+42=3y
move the terms
7y-3y=-42
collect like terms
4y=-42
divide both sides by four
y= -21/2
Suppose C and D represent two different school populations where C > D and C and D must be greater than 0
Answer:
Step-by-step explanation:
Therese is throwing a party and wants to make goodie bags. She has 26 lollipops and 14 tootsie rolls. What is the greatest amount of goodie bags can she make? How many lollipops will be in each? How many tootsie rolls?
She can make 2 goodie bags.
13 lollipops
17 tootsie rolls
The GCF (greatest common factor) of 26 and 14 is 2; therefore making the greatest number of goodie bags she can make is 2.
If you divide both the numbers (26,14) by 2, you get 13 and 17.
Please mark branliest if this helped
7th grade math help me pleasee
Answer:
death valley<tallahassee | Death valley<westmooreland
Step-by-step explanation:
sorry if this is wrong i dont understand
Answer:
death valley<talahasse.
the negative value of death valley is less than talahasse.
Step-by-step explanation:
a negative number is way lower than a positive number.
My Cours
Course H
Decide if the events A and B are mutually exclusive or not mutually exclusive. A person is selected at random.
A: Their birthday is in the fall.
B: Their birthday is in October.
Homewo
Answer: not mutually exclusive
Step-by-step explanation:
You find 1/6 of a case of
batteries. You to divide this
equally between 6 people. How
much of a case does each person
receive?
Three times a number, increased by one, is between negative eleven and seven. Find all the numbers
Answer:
7 < 3N+1 < 11
6 < 3n < 10
2 < n < 10/3
Step-by-step explanation:
The required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.
Given that,
Three times a number, increased by one, is between negative eleven and seven. the number is to be determined.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Accoding to the condition let the number be x,
and
-11 < 3x + 1 < 7
-12 < 3x < 6
-4 < x < 2
So the number are -3, -2, -1, 0, anb 1
Thus, the required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ1
Please help me guys!!!
find all missing angles in the diagram below
please help ‼️
7. Order the following integers from least to greatest: 0,5,18,100,22
Answer:
0, 5, 18, 22, 100
Step-by-step explanation:
Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.
Hope This Helps :)
Kyle is drawing a rectangle on the coordinate plane. Which coordinate pair could be Point M, the missing vertex of the rectangle?
Answer:
Step-by-step explanation:
5,2
What is the solution to the equation? 13+x=74
x=-6 1/4
x=-6 1/4
x =20
x=21
what type of number is 18.62?
that is a rational number.
R
(x + 1)
(3x - 5)
S
Р
What is mzPQR ?
PLZ HELP WILL GIVE BRAINLIST
A. A number less than 2
B. A number greater than 1
C. An odd number
D. A multiple of 2
Answer:
Option A
Step-by-step explanation:
The answer is option A "A number less than 2." That is because we check off each of the following given options. It won't be option C because they're 4 odd numbers a equal amount of multiplies of two (option D) which means they both have a equal (4 out of 8) chance. It won't be option B because they're 7 out of 8 numbers that are greater then on which means you have a greater chance of getting a number greater then one but the question is asking for the most unlikely.....therefore the answer is option A because you have a 1 out of 8 chance of getting a number less then two.
Hope this helps.