Answers
Answer: -1
Step-by-step explanation:
First change tan(315) to:
[tex]\frac{\sin(315)}{\cos(315)}[/tex]
Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?
[tex]-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1[/tex]
Related Questions
Gold has a density of 19.3 g/mL. What is the mass of a 7.5 mL sample of gold?
Answers
Answer:
144.75 g
Step-by-step explanation:
19.3x7.5 = 144.75
If student D can solve 60% of multiple choice questions and Student B can solve 51% of the multiple choice questions and Student C can solve 57%. The students are unaware of each other.
a) At least one can be solved
b) Probability at most one of them can be solved
c) Probability that neither of them can be solved
d) Exactly two them can be solved
Answers
Need help with other math who’s gonna help me brainlest and points
Answers
Jacob and Adam are selling pies for a school fundraiser. Customers can buy cherry pies and blackberry pies. Jacob sold 1 cherry pie and 1 blackberry pie for a total of $35. Adam sold 12 cherry pies and 9 blackberry pies for a total of $360. Find the cost each of one cherry pie and one blackberry pie. Write as an ordered pair. Ex: (cherry pie, blackberry pie)
Answers
Answer:
Step-by-step explanation:
c and b are the number of cherry and blackberry sold.
1c + 1b = 35
b = 35-c
12c + 9b = 360
12c + 9(35-c) = 360
3c = 45
c = 15
b = 35-c = 20
$15 for one cherry pie, $20 for one blackberry pie.
simplify (-4/5)^9/(-4/5)^10
Answers
Answer:
- 5/4
Step-by-step explanation:
exact form:-5/4
decimal form:-1.25
mixed number form: -1 1/4
Can some one please help me solve this inequality?
x − 3 ≤ 5 or x + 4 ≥ 14
Answers
Answer:
Just look down lol
Step-by-step explanation:
Anyways, what you would have to do on both sides is try to isolate x on each side, so for the first inequality, you would add 3 on both sides, x[tex]\leq[/tex]8, and for the other equation you would subtract 4 on both sides, so x[tex]\geq[/tex]10
I actually hope this helps
2) A recent survey of 2625 elementary school children found that 28% of the children could be classified obese.
Answers
Hope this helps :)
Salim had a flock of 300 chickens 15% of which are infected with a virus he plans on taking a SRS of 7 chickens to test for the virus.
Answers
Answer:0.011
Step-by-step explanation:
The probability for exact 4 chickens being infected out of the 7 is ⁷C₄(0.15)⁴(0.85)³. The correct option is (A).
How to find probability using binomial distribution?The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.
In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.
Given that,
The probability of the infected chicken is 15%.
Which can be written as,
P(infected) = 15%
= 15/100
= 0.15
Then, the probability of not getting infected chicken is,
P(not infected) = 1 - 0.15
= 0.85
The total number of chicken for test = 7.
Now, in order to find the probability of the exact 4 infected chickens, binomial distribution can be used as.
The general expression for binomial distribution is ⁿCₓpˣqⁿ⁻ˣ.
For the given case p = P(infected) and q = P(not infected), n = 7 and x = 4.
Thus, the probability is given as,
P(Exact 4 are infected) = ⁷C₄(0.15)⁴(0.85)³
Hence, the probability that exactly 4 of the 7 chickens sampled have the virus is ⁷C₄(0.15)⁴(0.85)³.
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The complete question is given as, "Salim has flock of 300 chickens, 15% of which are infected with virus: He plans on taking an SRS of 7 chickens to test for the virus_ Which of the following would find the probability that exactly 4 of the 7 chickens sampled have the virus? Choose answer: 1(0.15) '(0.85)? (0.15)*(0.85)4 300 ` (0.15)'(0.85)3 (0.15)3(0.85)4 (0.15)4(0.85)".
Math To Do, i-Ready + Liready.com/student/dashboard/home iReady Understand Fractions as Division - Instruction - Level E Finn, Rita, and Marcus have 2 blueberry granola bars to share equally. Finn Rita Marcus
Answers
Answer:
21
Step-by-step explanation:
21
write the equation of a circle with diameter endpoints of (-14,1) and (-10,9)
Answers
Answer:
[tex](x+12)^2+(y-5)^2=80[/tex]
Step-by-step explanation:
First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is [tex]\sqrt{4^2+8^2}=\sqrt{80}[/tex].
The equation of a circle with diameter endpoints of (-14,1) and (-10,9) are;
(x+1)²+(y-4)²=348.
What is the standard form of the equation of a circle?The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.
Find the distance AB
d=√[(9 + 14)²+(-10 - 1)²]
d=√[576+121]
d=√697 units
The diameter=√697 units
r=√697/2 unit
Thus, the center of the circle is (-1,4)
Hence, the equation of a circle
(x-h)²+(y-k)²=r²
(x+1)²+(y-4)²=(√697/2)²
(x+1)²+(y-4)²=348
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Find the range of the function f(x) = 3x - 8
if the domain is {-4, 2, 7).
Answers
Answer:
f(-4)=3(-4)-8
f(-4)=-12-8
f(-4)=-20
f(2)=3(2)-8
f(2)=6-8
f(2)=-2
f(7)=3(7)-8
f(7)=21-8
f(7)=13
R=(-20, -2, 13)
The range of the function when f(x) = 3x - 8 and the domain is {-4, 2, 7) is (-20, -2, 13).
Calculation of the range:Since
f(-4)=3(-4)-8
f(-4)=-12-8
f(-4)=-20
Now
f(2)=3(2)-8
f(2)=6-8
f(2)=-2
Now
f(7)=3(7)-8
f(7)=21-8
f(7)=13
So,
R=(-20, -2, 13)
hence, The range of the function when f(x) = 3x - 8 and the domain is {-4, 2, 7) is (-20, -2, 13).
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Graphing linear equation using a table [ x = - 1 ]
• • • • • • • • • • • • • • • • • • • • • • • • • • • •
(I only need help in filling the table, aswell as the slope and y-intercept, thanks! ^u^)
Answers
0
1
2
3
4
5
take x 1 so 1-1
2-1..........
Look at pic plz help
Answers
Answer:
Mochi
Step-by-step explanation:
Mochi
Each week theres a increase of 4 in Mochi's weight. So you will add 4 twice to get to the 5th week.
4th week : 17
5th week : 21
Kappa
In 4 weeks Kappa weighed 14, which is less that Mochi at the pace Kappa is going at.
on the 3rd week Kappa weighed 11
and 2nd week Kappa weighed 5
and 1st week Kappa weighed 3
Looking at the graph, we can give a rough estimate on the 5th week it's going to be 16 or 17 either way making Mochi heavier.
Write an equation of the line that passes through the given points.
(-2,5) and (3,0)
Answers
9514 1404 393
Answer:
y = -x +3
Step-by-step explanation:
The 2-point form of the equation of a line is useful when 2 points are given.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (0 -5)/(3 -(-2))(x -(-2)) +5
y = -5/5(x +2) +5
y = -x +3
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 246.8 and a standard deviation of 67.2. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0? b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
Answers
Answer:
a. 68%
b. 99.7%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 246.8
Standard deviation = 67.2
a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0?
By the Empirical Rule, approximately 68%.
b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
45.2 = 246.8 - 3*67.2
448.4 = 246.8 + 3*67.2
Within 3 standard deviations of the mean, so approximately 99.7%.
need some help please
Answers
Answer:
A
Step-by-step explanation:
y= 6x
Plug and chug the function.
help me do this please!!!
Answers
Answer:
Step-by-step explanation:
ok soo....
the area of the one like higher up would be 42
and then the area of the one like landscape would be 48
and then the area of like the box they make in the middle is 30
so ya i hope this helped
In a housing project there are 180 households in which English is usually spoken, 80 in which Spanish is usually spoken, and 40 in which the language is other than English or Spanish. A researcher approaches a house at random to conduct an interview. What is the chance that the usual language in that household will NOT be English
Answers
Answer:
The chance that the usual language in that household will NOT be English = 0.4
Step-by-step explanation:
As given ,
Total households in which languages spoken is English = 180
Total households in which languages spoken is Spanish = 80
Total households in which languages spoken is other than English or Spanish = 40
So,
Total households = 180 + 80 + 40 = 300
Now,
Household in which English language is not spoken = 80 + 40 = 120
So,
The chances that the usual language in that household will NOT be English = [tex]\frac{120}{300} = \frac{12}{30} = \frac{4}{10} = 0.4[/tex]
∴ we get
The chance that the usual language in that household will NOT be English = 0.4
How to write and graph at least 10 on a number line
Answers
Answer:
hope it helps you (:
Step-by-step explanation:
Graphing an inequality on a number line, is very similar to graphing a number. For instance, look at the top number line x = 3. We just put a little dot where the '3' is, right?
Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it.
Just remember
if the symbol is (≥ or ≤) then you fill in the dot, like the top two examples in the graph below
if the symbol is (> or <) then you do not fill in the dot like the bottom two examples in the graph below
To better understand how to graph inequalities, look at the examples below or experiment with the grapher that is immediately below.
2 1/4x + (4 1/3x − 7 4/5 ) ÷ 2 3/5
Answers
Answer:
1/4*(9x+130x-234/35
Step-by-step explanation:
get photomath
The Wall Street Journal reported that the median salary for middle-level manager jobs was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an independent study of middle-level managers employed at companies located in Atlanta, Georgia, was conducted to compare the salaries of managers working at firms in Atlanta to the national average. The following data show the salary, in thousands of dollars, for a 8. sample of 15 middle-level managers.
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
a. Compute the median salary for the sample of 15 middle-level managers. How does the median for this group compare to the median reported by The Wall Street Journal?
b. Compute the mean annual salary and discuss how and why it differs from the median a. b. computed in part (a).
c. Compute the first and third quartiles.
Answers
Answer:
Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000
Step-by-step explanation:
Given the data :
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
Reorderd data :
53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124
The median salary:
1/2(n+1)th term
Sample size, n = 15
1/2 (15 + 1)th term
1/2(16)th term
8th term = 80
Median is $80,000
Median reported by Wall Street Journal approximately $85000
The obtained and reported values are close
The mean annual salary :
ΣX / n = 1260 / 15 = 84
Mean annual salary = $84,000
Mean is the average of all earnings combined, median is the mid value of he data.
First and third quartile :
Q1 = 1/4(n+1)th term
Q1 = 1/4(16)th term
Q1 = 4th term = 67
Third quartile:.
Q3 = 3/4(n+1)th term
Q3 = 3/4(16)th term
Q3 = 12th term = 106
(4-√2)(4+ √2) how do i solve it¿
Answers
Answer:
Step-by-step explanation:
[tex]4(4)+4\sqrt{2}-4\sqrt{2}-\sqrt{2}\sqrt{2}=16-2=14[/tex]
find the equation of the line with the coordinates of (-5,-2) and (5,3)
Answers
Answer
x - 2y = -1.
Step-by-step explanation:
Slope = (3 - (-2)) / (5 - (-5))
= 5/10
= 1/2
Using the point-slope form of a straight line equation:
y - y1 = m(x - x1)
Here m = 1/2 and (x1, y1) = (5, 3):
y - 3 = 1/2(x - 5)
y - 3 = 1/2x - 5/2
y = 1/2x - 5/2 + 6/2
y = 1/2x + 1/2
Removing the fractions:
2y = x + 1
in standard form this is
x - 2y = -1
If significant digits are used to compute the product of 0.105 and 1000.2000, how many significant digits are there in the answer?
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
A is the answer!
Step-by-step explanation:
There are 6 significant digits are in the answer.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Here, significant digits are used to compute the product of 0.105 and 1000.2000,
Now,
Multiplication of 0.105 and 1000.2000 is,
⇒ 0.105 × 1000.2000
⇒ 105.021
Hence, There are 6 significant digits are in the answer.
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Jason customizes and sells water bottles. He must sell each water bottle for more than $15 to make a profit.Which number line represents all the possible prices for which Jason could sell a water bottle and make profit?
Answers
Help me pls I’ll give brainliest
Answers
Answer:
is there another number, if so what is it?
Answer:
25%
Step-by-step explanation:
A company makes 150 bags.
43 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
34 of the bags have neither zips nor buttons.
How many bags have buttons on them?
Answers
Answer:
Should be 43
Step-by-step explanation:
There are only 43 bags that actually have buttons from the 3 numbers given.
1/2+p=-3
Pleaseee help
Answers
Answer:
The answer is p= -7/2
Step-by-step explanation:
Move all terms not containing p to the right side of the equation.
Hoped this helped!
brainly, please?
A person has 30 Rap songs, 25 R&B songs, 30 Alternative songs, 22 Pop songs, 15 Country songs, and 28 Hip Hop songs stored on an MP3 player (a total of 150 songs). If the person set the MP3 player to random shuffle, what are the odds of the first song being played being a Country song?
A) .1
B) .2
C) .3
D) .4
Answers
Answer:
10% or 1/10 chance
Step-by-step explanation:
The chances of playing a country song first try is 15/150 or 1/10. There is a 10% chance of playing a country song on the first try.
A granular substance such as sand naturally settles into a cone-shaped pile when poured from a small aperture. Its height depends on the humidity and adhesion between granules. The angle of elevation of a pile, θ, is called the angle of repose. If the height of a pile of sand is 15 feet and its diameter is approximately 52 feet, determine the angle of repose. Round answer to nearest degree.
Answers
Answer:
The angle of elevation of the pile is 30°
Step-by-step explanation:
Given that;
Height = 15 ft
Diameter = 52 ft
so radius r = D/2 = 52/2 = 26 ft
Now, to get the angle of elevation.
given the details in the question,
we can say; the given height is the opposite which is 15 ft.
Also the radius is adjacent which is 26 ft
using SOH CAH TOA
TOA; Tan = Opposite / Adjacent
so
tan∅ = 15 ft / 26 ft
tan∅ = 0.5769
∅ = tan⁻¹( 0.5769 )
∅ = 29.98° ≈ 30°
Therefore, The angle of elevation of the pile is 30°