Answer:
Step-by-step explanation:
Here we use the SUM FORMULA: sin(a + b) = sin a cos b + cos a sin b
sin(A + B) = sin A*cos B + cos A*sin B. We are not given cos A or sin B and so must find them using the Pythagorean Theorem x^2 + y^2 = z^2.
Looking at sin A = 8/17, we see that the "opposite side" is 8 and the "hypotenuse" is 17. Then (adjacent side) = √(17² - 8²) = 15; that is, the side adjacent to Angle A is 15. Thus, cos A = 15/17 and sin A = 8/17.
We find sin B similarly. cos B = (side adjacent to B)/25 = 24/25. Therefore the side opposite B is √(25² - 24²) = 7. Thus, sin B = 7/25 and cos B = 24/25.
Then sin (A + B) = sin A*cos B + cos A*sin B
= (8/17)*(24/25) + (15/17)(7/25)
Here there are two products of fractions. This product (above) can be rewritten as
8(24) + 15(7) (3)(64) + (3)(5)(7)
= sin A*cos B + cos A*sin B = --------------------------- = --------------------------
17(25) 17(25)
X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining
Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then
P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)
… = P(-0.32 < Z < 0.32)
… = P(Z < 0.32) - P(Z < -0.32)
… ≈ 0.6255 - 0.3745
… ≈ 0.2510
where Z is normally distributed with mean 0 and s.d. 1.
• • •
Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,
[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]
Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.
The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have
P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))
… = P(-1.6 < Z < 1.6)
… = P(Z < 1.6) - P(Z < -1.6)
… ≈ 0.9452 - 0.0548
… ≈ 0.8904
A Playstation 5 gaming console is initially priced at $500 and the prices rises such that the new price is $550. What is the percent increase of the Playstation 5? Show all work, write answer using proper units.
Answer:
10%
Step-by-step explanation:
Percentage increases is given by the formula:
[tex]percentage \: increases = \frac{increases}{original \: value} [/tex]
Increases = $550 - $500 = $50
Original Value: $500
substitute the values into the formula
[tex]percentage \: increases = \frac{50}{500} \times 100[/tex]
= 10%
A leather jacket and printing paper are examples of what resources renewable or nonrenewable
Answer:
Renewable
Step-by-step explanation:
Decide whether 2x+8 and 2(x+4)+4 are equivalent expressions. Explain how you know
Answer:
2x+8 and 2(x+4)+4 are not equivalent expressions
Step-by-step explanation:
Firs we need to expand 2(x+4)+4 using the distributive law as shown;
2(x+4)+4
=2(x) + 2(4) + 4
= 2x + 8 + 4
= 2x + 12
Since the result is not equivalent to 2x+8 hence 2x+8 and 2(x+4)+4 are not equivalent expressions
Find the slope of the line passing through the points (-6-9) and (9,-9)
Find the slope of the line passing through the points (4,1) and (4,-5).
9514 1404 393
Answer:
zeroundefinedStep-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
__
First line:
m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0
The slope of the first line is zero.
__
Second line:
m = (-5-1)/(4 -4) = -6/0 = undefined
The slope of the second line is undefined.
_____
It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.
Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.
Hello there! We're provided with two problems in one, but we can solve each of them by using the slope formula, which is this:
[tex]\stackrel\diamond{\boxed{\boxed{\bold{\frac{y_2-y_1}{x_2-x_1}}}}}[/tex]
In this formula,
[tex]\sf{y_2=-9}[/tex][tex]\sf{y_1=-9}[/tex][tex]\sf{x_2=9}[/tex][tex]\sf{x-1=-6}[/tex]Plug in the values:
[tex]\sf{\dfrac{-9-(-9)}{9-(-6)} =\dfrac{-9+9}{9+6} =\dfrac{0}{15} =\boxed{0}}[/tex]So the slope is 0.
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
The second problem can be solved the same way!
Once again, we'll use the formula
[tex]\stackrel\diamond{\boxed{\boxed{\bold{\frac{y_2-y_1}{x_2-x_1}}}}}[/tex]
only this time, the values are different:
[tex]\sf{y_2=-5}[/tex][tex]\sf{y_1=1}[/tex][tex]\sf{x_2=4}[/tex][tex]\sf{x_1=4}[/tex]Plug in the values:
[tex]\sf{\dfrac{-5-1}{4-4} =\dfrac{-6}{0} =\boxed{unde fined}[/tex]So the slope's undefined. I hope this helps, feel free to comment if you have any queries regarding the slope formula! ^^
does anyone know 7-10 ??
Answer:
Step-by-step explanation:
7.18/9 divide 9 and that would equal 2/1 so its 2
8.24/40 divide 8 and that would equal 3/5
9.7/21 divide 7 and that would equal 1/3
10.9/1 stays the same so its 9
You make 12 equal payments. You pay a total of $1752. How much is each paymem?
HELP PLS
Answer:
$146
Step-by-step explanation:
1752/12 = 146
Someone pls help (Becca’s dog walking business started with 1 dog. She walks 2 additional dogs each month.The graph represents the problem. How many dogs does she walk in the third month?)
Answer:
In the third month, Becca will be walking [tex]7[/tex] dogs
Step-by-step explanation:
The graph for the question is attached
Becca started her dog walking business with one dog
Additional dog she tries to walk every next month [tex]= 2[/tex]
The attached graph indicates that in the third month, Becca will be walking [tex]7[/tex] dogs
Will tutors ever come back??
Answer:
Step-by-step explanation:
I don't think so
Which among the following statements regarding correlation coefficient is/are correct? Group of answer choices Its absolute value cannot exceed 1. It only takes non-negative values. A positive value indicates a strong correlation between the two variables; a negative value indicates a week correlation between the two variables. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find b positive. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find a positive.
Answer:
The correct statements regarding correlation coefficient are:
1. Its absolute value cannot exceed 1.
2. A positive value indicates a strong correlation between the two variables; a negative value indicates a weak correlation between the two variables.
3. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find b positive.
4. If X and Y have positive correlation coefficient, when we run a regression analysis Y=a+bX+e, we will find a positive.
Step-by-step explanation:
Correlation measures the strength of the relationship which exists between X and Y variables. Regression, on the other hand, helps to establish a cause and effect between a dependent variable and an independent variable.
The total length of a road trip was 15.6 hours. If highway signs are posted every 0.06 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?
Answer:
The answer is 260.
Step-by-step explanation:
15.6/.06=260.
0000 PLEASE ASAP HELPPPPP
Haruto gave 42 of his paycheck to his mother. If his paycheck was 855 how much money did he give to his mother
Answer:
813
Step-by-step explanation:
Find the GCF of the terms of the polynomial.
1424 - 7023 + 1022
The diagram shows the percentages of students who wear glasses in Lynbrook High School. If 2,500 students attend Lynbrook High School, how many students do not wear glasses?
The answer for: The diagram shows the percentages of students who wear glasses in Lynbrook High School. If 2,500 students attend Lynbrook High School, how many students do not wear glasses?
Is 2,250 Students
Do not wear Glasses
Step-by-step explanation:
PLEASE PLEASE PLEASE HELPPPPP
Answer:
Step-by-step explanation:
B beacuse I did this before..
10 + 6 • -2 = 4 • 2 + 6
Answer:
Contradiction equation or no solution
Step-by-step explanation:
10 + 6 • -2 = 4 • 2 + 6
10 - 12 = 8 + 6
-2 = 14
This is a contradiction statement
What is the precent to decrease from 400,000 to 60,000?
Step-by-step explanation:
340000 this is a answer ok
A garden measuring 22 m by 26 m is to have a pedestrian pathway that is w meters wide installed all the way around it, increasing the total area to 780 square meters
a. Draw a picture.
b. Write an equation that can be used to determine the width, w of the pathway.
c. Explain how this equation models the situation.
d. Use this equation to solve for the width of the pathway
Answer:
4
Step-by-step explanation:
I know
please please help!!
Answer:
A family buys 6 tickets to a show. they also pay a $3 parking fee. they spend $27 total.
What is the unit rate for the following rate: 5 pounds of potatoes costs $10
Answer:
$2 per round of potatoes
Step-by-step explanation:
$10/5 pounds of potatoes= $2
Find the value of x in the triangle shown below 6 2
Answer:
x = 2√10 = 6.325
Step-by-step explanation:
a² +b² = c² a = 6 b = 2 c = x
c = √(a² +b²)
c = √(6² +2²)
c = √(36 +4)
c = √(40)
c = 2√10
2. What is the acronym we use to remember the 7 most common
conjunctions? *
O FLAPELS
O FANBOYS
O FLAPGIRL
OSYOBNAF
Answer:
fanboys
Step-by-step explanation:
for
and
nor
but
or
yet
so
Find the zeros from the factored form Quadratic Equation y=-x(x-3) ( ,0) & ( ,0)
Answer:
(0, 0) and (3, 0)
Step-by-step explanation:
Zeros of any equation means, value of variable x at y = 0.
Given quadratic equation is,
y = -x(x - 3)
For y = 0,
-x(x - 3) = 0
x = 0
And (x - 3) = 0
x = 3
Therefore, x-intercepts of the given quadratic equation will be,
x = 0, 3
Points showing the x-intercepts will be,
(0, 0) and (3, 0)
Please help I’ll mark you as brainliest if correct!
A
B
C
D
Answer:
A is the answer
Step-by-step explanation:
Each side of quadrilateral TVWX is tangent to circle Y. Find the perimeter of the quadrilateral.
9514 1404 393
Answer:
25.6
Step-by-step explanation:
The sum of opposite sides of the circumscribing quadrilateral is half the perimeter. Here, the opposite sides TV and WX both are shown, so the perimeter is ...
P = 2(TV +WX) = 2(4.5 +8.3) = 2(12.8) = 25.6 . . . units
The perimeter of the quadrilateral is 25.6 units.
Please someone help me (NO LINKS) (NO LYING)
Answer: 1 = 9. 2 = 10. 3 = 8. 4 = 12. 5 = 10. 6 = 6.
Explaintion: All you need to do is take one of the horizontal rows and one of the vertical rows and multiply then.
what is 3 1/4 x 3 2/5
Step-by-step explanation:
Exact Form:
2485"
Decimal Form:
49.6"
Mixed Number Form:
4935"
First anserw gets brainest 8th grade, root squared question
Answer:
±11
11*11=121
-11*-11=121
The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds,
Answer:
The object falls 384 feet in 4 seconds.
Step-by-step explanation:
This question can be solved by proportions, as the measures are directly proportional, using a rule of three.
An object falls 288 feet in 3 seconds. Find the distance the object falls in 4 seconds.
288 feet - 3 seconds
x feet - 4 seconds
Applying cross multiplication
[tex]3x = 288*4[/tex]
[tex]x = \frac{288*4}{3}[/tex]
[tex]x = 384[/tex]
The object falls 384 feet in 4 seconds.