Answers
Answer:
34°
Step-by-step explanation:
using tan ( tan x = opposite/adjacent)
tan x = 7/10
we solve for x by moving the tan and turning tan into tan^-1 which is inverse tangent
x = tan^-1 = 7/10
x = 35
exact answer: 34.99202
Answer:
dm
Step-by-step explanation:
Related Questions
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.0 minutes and standard deviation 1.6 minutes. Suppose that a random sample of customers is observed. Find the probability that the average time waiting in line for these customers is (a) Less than 10 minutes (b) Between 5 and 10 minutes (c) Less than 6 minutes Round your answers to four decimal places (e.g. 0.9876). (a) The probability is Enter your answer in accordance to the item a) of the question statement . (b) The probability is Enter your answer in accordance to the item b) of the question statement . (c) The probability is Enter your answer in accordance to the item c) of the question statement .
Answers
Answer:
Step-by-step explanation:
a)
*Prob-less 89.44%
b)
*Prob-Between 86.40%
Z1=-1.88 Z2=1.25
c)
*Prob-less 10.56%
If you were going to install a new window in your bathroom, what needs to be measured? What
else might you need to consider?
Answers
measure horizontally
measure vertically
measure depth..
ASAP ! PLSSSQ!!!!!!!
Answers
Answer:
16
Step-by-step explanation:
pleaseee help :(The Venn diagram below shows the type of crops planted by 50 farmers in a particular area.
If a farmer is chosen at random, what is the probability that the farmer planted corn OR lettuce?
Answers
Answer:
1/2
Step-by-step explanation:
I am not sure if it's correct
The probability that the farmer planted corn OR lettuce is 1/2.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
The Venn diagram below shows the type of crops planted by 50 farmers in a particular area.
The number of farmers plant only corn = 5
The number of farmers plant only lettuce = 10
The number of farmers plant corn and lettuce = 10
Total number of farmers = 50
If a farmer is chosen at random, then the probability that the farmer planted corn OR lettuce is;
[tex]\rm Probability =\dfrac{Corn + Lettuce+ Corn and Lettuce}{Total \ number \ of \ farmers}\\\\ Probability =\dfrac{5+10+10}{50}\\\\\rm Probability =\dfrac{25}{50}\\\\\rm Probability =\dfrac{1}{2}[/tex]
Hence, the probability that the farmer planted corn OR lettuce is 1/2.
Learn more about probability here;
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use complete sentences to describe the transformation of triangle ABC into its image.
Answers
Answer:
Move triangle ABC over 2 and up 1
Step-by-step explanation:
A transformation in geometry is to essentially move a shape. To move ABC onto A1B1C1 you would move triangle ABC over 2 and up 1.
Surface Area: Change in Dimensions
Draw your own original rectangular prism and give it your own length, width and height values. (Use different numbers for each dimension but make them as small as you
want to make calculations easier).
a) What is the Surface Area (S1) of the prism?
b) Now triple times 3) the length of the prism and keep the other two dimensions the same. Find the new Surface Area (S2) of the prism. Next divide $2/81. How many
times bigger did the new surface area get?
c) Now triple all three dimensions of your orginal prism. Find the new Surface Area (S3) of the prism. Next divide S3/S1. How many times bigger did the new surface
area get? What happens to the surface area when you double all of the dimensions of a 3-Dimensional figure?
Click "Create Journal Entry" to enter your answer.
Answers
i got this by following the quadratic formula of b
please help, it’s urgent !
Answers
Answer:
do your own work its not hard
Step-by-step explanation:
A camera with a price of d dollars is discounted 25%. write two expressions to represent the price of the camera with the discount.
Answers
Answer:
17d/20
Step-by-step explanation:
100-25=85
85/100×d
=17/20×d
=17d/20
Gfxgbv
Geometria ayuda por favor
Answers
Answer:
72°
Step-by-step explanation:
Para el pentagono ABCDE,
m<C = (n - 2)(180)/n = (3)(180)/5 = 108
m<D = m<C = 108
Para el quadrilatero BCDE,
m<CBE + m<C + m<D + m<DEB = (n - 2)180 = 2(180) = 360
m<C = m<D = 108
m<CBE = m<DEB = x
m<CBE + m<C + m<D + m<DEB = 360
x + 108 + 108 + x = 360
2x + 216 = 360
x + 108 = 180
x = 72
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 2 million barrels of oil in the well; six years later 1,000,000 barrels remain.
Required:
a. At what rate was the amount of oil in the well decreasing when there were 1,200,000 barrels remaining?
b. When will there be 100,000 barrels remaining?
Answers
Answer:
A. It was decreasing by -138,629.44 barrels
B. 26 years of time
Step-by-step explanation:
Due to the length of this question solution, I was unable to type it. The answer is contained in the attachment.
A. At 1200000
Bt = 1200000
-1/6ln2 x 1200000
Solve this using a calculator
= -138,629.4361
So the amount of oil is decreasing by -138,629.44 barrels
What is the measure of ABC?
Answers
Answer:
60
Step-by-step explanation:
Information needed: a whole circle is 360 degrees.
Explanation: you need a protractor to see how many degree's it is
31
?
40
Find the measure of the indicated angle to the nearest whole degree.
Answers
Answer:
51°
Step-by-step explanation:
Reference angle (θ) = ?
Opposite side length = 31
Hypotenuse length = 40
Apply SOH, which is;
Sin θ = Opp/Hyp
Plug in the values
Sin θ = 31/40
θ = sin^{-1}(31/40)
θ = 51° (neatest whole degree)
Find the amount that results from the given investment.
$400 invested at 5% compounded quarterly after a period of 2 years
After 2 years, the investment results in $
(Round to the nearest cent as needed.)
Answers
Answer:
440dollars............
Consider the triangle.
Which statement is true about the lengths of the sides?
O Each side has a different length.
O Two sides have the same length, which iS less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
length of the third side.
Answers
Answer:
the last one
Step-by-step explanation:
this is because it is an equalactral triangle meaning that the line at the side is the only one which its degrees is 90 so if u add 45 and 45 its 90(hope this helps)
Answer:
Two sides have the same length, which iS less than
the length of the third side.
Step-by-step explanation:
Hypotenuce is a sode opposite to right angle, which is always bigger then any side of right triangle. since both angles are the same, Adjacent and Opposite are similar size as well.
Inge is competing in a 400 m race. She runs at a constant speed of 4.6 m/s for the first 150 m, then 4.2 m/s for 40 seconds. The remainder of the race takes her 38 seconds to complete. What is Inge's average speed for the entire race to 1 dp?
Answers
9514 1404 393
Answer:
3.6 m/s
Step-by-step explanation:
To find Inge's average speed for the race, we need to know her total distance (400 m) and her total time. The times for the 2nd and 3rd portions of the race are given, but we need to figure the time for the first portion. That will be ...
time = distance/speed
time = (150 m)/(4.6 m/s) = 32.609 s . . . . time for first 150 m
Then Inge's average speed is ...
(400 m)/(32.609 s + 40 s + 38 s) = (400 m)/(110.609 s) ≈ 3.6 m/s
What multiplication expression is equal to 3/4 divided by 2/5
Answers
Answer:
3 * 5
4 2
Step-by-step explanation:
To convert division problems with fraction into multiplication problems use the KCF rule
Keep the 1st Fraction the same
Change the division sign to a multiplication sign
Flip the fraction (reciprocal)
Which word MOST affects the tone of this sentence?
A slender woman walked into the room wearing a pink dress and a gaudy hat.
A- room
B- gaudy
C- woman
D- slender
Answers
Answer:
B
Step-by-step explanation:
What is the range of the function
Answers
Answer: [tex]-\infty < y < \infty[/tex] which is choice A
This is the set of all real numbers.
===========================================================
Explanation:
If you were to graph this function, then it spans infinitely upward and infinitely downward as well. That means that we can land on any y value we want, and that's why the range is the set of all real numbers.
Another approach we could take is to swap x and y to get [tex]x = \sqrt[3]{y+8}[/tex] which solves to [tex]y = x^3-8[/tex] . This is the inverse of the original function your teacher gave you. Recall that the domain and range swap roles when going from the original function to the inverse. What this means is that because the domain of
Domain of inverse = set of all reals
Range of original = set of all reals
Solve for x Round to the nearest tenth one place after the decimal !
Answers
Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
SOMEBODY PLEASE HELP ME!!!! I NEED THIS!!!!
Answers
Answer:
47.1
Step-by-step explanation:
We know side LM corresponds with side OP with a factor of some number. The value of side LM is 8, and the value of side OP is 29. If we divide the two numbers, we will find the scale factor of which triangle NOP is larger than KLM. 29/8 simplifies to 3.625. Now, to find the value of side PN, we must find the side it corresponds to on triangle KLM. Because K corresponds with N, and M corresponds with P, we know the side that PN corresponds with on triangle KLM is side KM. Side KM has a value of 13, so side PN must be 3.625 times larger than 13.
13 times 3.625 = 47.125. The question says to round to the nearest tenth, so the answer would be 47.1
Help me with this please
Answers
Answer:
A
Step-by-step explanation:
A is the only graph with slope (1/4)
The weight of bags of fertilizer is normally distributed with a mean of 50 pounds and standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh:
a. Between 45 and 55 pounds?
b. At least 56 pounds?
c. At most 49 pound?
Answers
Answer:
Following are the solution to the given points:
Step-by-step explanation:
Normal Distribution:
[tex]\mu=50\\\\\sigma= 6\\\\Z=\frac{X-\mu}{\sigma} \sim N(O,l)[/tex]
For point a:
[tex]P(X< 56)=\frac{(56-50)}{6}= \frac{6}{6}=1\\\\[/tex]
[tex]=P(Z<1)\ From\ \sigma \ Table=0.8413\\\\P(X>= 56)=(1-P(X< 56))=1-0.8413=0.1587\\\\[/tex]
For point b:
[tex]P(X< 49)=\frac{(49-50)}{6}=-\frac{1}{6} =-0.1667\\\\=P(Z<-0.1667)\ From\ \sigma \ Table\\\\=0.4338[/tex]
For point c:
To Find [tex]P(a\leq Z\leq b)= F(b) - F(a)\\\\[/tex]
[tex]P(X< 45)=\frac{(45-50)}{6}=\frac{-5}{6} =-0.8333\\\\P (Z<-0.8333) \ From \ \sigma \ Table\\\\=0.20233\\\\P(X< 55)=\frac{(55-50)}{6} =\frac{5}{6}=0.8333\\\\P ( Z< 0.8333) \ From \ \sigma\ Table\\\\=0.79767\\\\P(45 < X < 55) =0.79767-0.20233 =0.5953[/tex]
Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.
Key: C = Parents send children to school.
E = Employees go to work.
P = The public will panic.
Q = Infected people are quarantined.
S = There is a swine flu epidemic.
Translation:
Answers
The translation for the discrete statements are:
If S, then (Q and P); S → (Q ∧ P)
If P, then (not C and not E). P → (¬C ∧ ¬E)
Given data:
The given statement can be translated into symbolic logic as follows:
C: Parents send children to school.
E: Employees go to work.
P: The public will panic.
Q: Infected people are quarantined.
S: There is a swine flu epidemic.
The translation of the statement is as follows:
If S, then (Q and P);
If P, then (not C and not E).
Symbolically, the statement can be written as:
S → (Q ∧ P)
P → (¬C ∧ ¬E)
Here, the arrow (→) represents "if...then," ∧ represents "and," and ¬ represents "not."
This translation represents the logical relationships between the events described in the statement.
To learn more about discrete mathematics, refer:
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The complete question is attached below:
Use the symbolic logic to transform the given statements.
Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.
Key:
C = Parents send children to school.
E = Employees go to work.
P = The public will panic.
Q = Infected people are quarantined.
S = There is a swine flu epidemic.
The statement when translated into symbolic logic would be (S -> (Q & P)) & (P -> (~C & ~E)).
How to translate into symbolic logic ?The given statement can be translated into symbolic logic as follows:
"If there is a swine flu epidemic, then infected people are quarantined and the public will panic" can be translated to:
S -> (Q & P)
"and if the latter occurs" refers to "the public will panic". Thus, "then parents do not send children to school and employees do not go to work" can be translated to:
P -> (~C & ~E)
Now, combining both parts of the statement using the "and" operator:
(S -> (Q & P)) & (P -> (~C & ~E))
Find out more on symbolic logic at https://brainly.com/question/917076
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The full question is:
Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.
Key:
C = Parents send children to school.
E = Employees go to work.
P = The public will panic.
Q = Infected people are quarantined.
S = There is a swine flu epidemic.
I need you guy’s help answer thanks so much
Answers
9514 1404 393
Answer:
D
Step-by-step explanation:
For the inverse function, swap the words "domain" and "range" in the description of the function. The domain of a function is the range of its inverse, and vice versa.
Inverse function domain: x > 0; range: y < 2.
Drag the equations to the correct locations on the table. Not all equations will be used.
Determine which equation is parallel to line JK and which is perpendicular to line JK.
Answers
9514 1404 393
Answer:
parallel line: 5x+3y = 13perpendicular line: 6x-10y = 7Step-by-step explanation:
The equation of the given line can be written as ...
Δy·x -Δx·y = Δy·x1 -Δx·y1
where Δy and Δx are the differences in y and x coordinates of two points on the line, respectively. Here, we can find them to be ...
Δy = 5-(-5) = 10
Δx = -5 -1 = -6
Then the equation of the given line can be written as ...
10x +6y = 10(-5) +6(5) = -20
Dividing by 2 puts this in standard form:
5x +3y = -10 . . . . . . equation of the graphed line
__
A parallel line will have the same x- and y-coefficients with a different constant. The equation of the parallel line is 5x +3y = 13.
A perpendicular line will have the x- and y-coefficients swapped, with one of them negated. The equation constant will likely be different. The coefficients may be multiplied by some factor so all the numbers are integers.
The equation of a perpendicular line is 6x -10y = 7.
Find the value of x if it is a number between 8 and 2 exclusive?
Answers
Step-by-step explanation:
the might help you for your answer
Consider the following sample space, S, and several events defined on it. S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}. FH is ___________.
Answers
Answer:
FnH = {Meagan}
Step-by-step explanation:
Given the following sets and events:
S = {Albert, Betty, Abel, Jack, Patty, Meagan}
F = {Betty, Patty, Meagan},
H = {Abel, Meagan}
P = {Betty, Abel}.
In order to get FnH
The intersection of F and H is the element that is common to both sets. Hence for the set given, we can see that Meagan is common to both sets, therefore:
FnH = {Meagan}
Given f(x) = 6x + 2, find f(x – 3).
A. f(x – 3) = 6x – 1
B. f(x – 3) = 6x – 16
C. f(x - 3) = x - 1
D. f(x – 3) = 6x2 – 16x - 6
Answers
Answer: B. f(x - 3) = 6x - 16
Concept:
When encountering a question that gives you a function and the evaluation value, then basically plug the given value into the function.
Solve:
Given function and value
f(x) = 6x + 2
f(x - 3)
Substitute the value into the given expression
f(x - 3) = 6 (x - 3) + 2
f(x - 3) = 6x - 18 + 2
f(x - 3) = 6x - 16
Hope this helps!! :)
Please let me know if you have any questions
Find two numbers that have 2, 5, and 7 as factors.
Answers
Step-by-step explanation:
One easy way to find a number that has all of these numbers as factors is to multiply them all together, so 2 * 5 * 7 = 10 * 7 = 70, which is one number.
To find the other number, we can multiply the number we already have by any integer greater than 1, e.g. 2, to get 70* 2= 140 as our other number, making our numbers 70 and 140
Help please, thanks
Answers
Answer: B. X It passes the vertical line test :)
Step-by-step explanation:
