Answers
Answer:
40.79 degrees
Step-by-step explanation:
Hope this helps
from the diagram the opposite is 4.9 and the hypothenus is 7.5
then sin x = 4.9/7.5
x = sin inverse of ( 4.5/7.5)
x = 40.79
Related Questions
3) Which inequality represents this scenario?
The weight of a book may be no more than 3.3 pounds.
A) w > 3.3
B) w< 3.4
C) w <3.3
D) w < 3.3
Answers
Answer:
w < 3.3
C) w < 3.3
D) w < 3.3
Answer: [tex]w \le 3.3[/tex]
=====================================================
Explanation:
w is the weight and it may be no more than 3.3 pounds. This is the same as saying that 3.3 pounds is the highest it can go. Think of it as the ceiling.
w = 3.3 is possible or anything smaller than it is possible.
So w is 3.3 or smaller meaning we write the inequality [tex]w \le 3.3[/tex]
The answer is not w < 3.3 because that would exclude 3.3 itself.
The answer is between choices C and D. It seems like one of those inequality signs should have an underline.
A local steakhouse served 625 customers over a weekend. The distribution of each customer's food purchase is non-normal. The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. Suppose that a random sample of 315 customers are selected from the weekend's customers. Would it be appropriate to model the distribution of the sample mean with a normal model?
No. The mean distribution theorem states that the sampling distribution of the sample mean can only be modeled by the non-normal model because the population distribution is non-normal.
There is not enough information to make assumptions regarding the distribution of the sample mean.
Yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough, regardless of the shape of the population distribution.
No. The central limit theorem states that the sampling distribution of a sample mean can only be modeled by a normal model if the sample size is large enough and the shape of the population distribution is normal.
Yes. The mean distribution theorem states that the sampling distribution of a sample mean can be modeled by a normal model if the sample size is large enough regardless of the population distribution.
Answers
Answer:
yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Step-by-step explanation:
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Option (B) is correct.
It is required to find the appropriate to model the distribution of the sample.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.
Given that:
A local steakhouse served 625 customers over a weekend.
The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.
In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.
So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.
Learn more about arithmetic here:
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1. Annel sells a phone which costs $180 and earns 5% commission. What is the dollar
amount of commission that Annel earns?
A $189
B $9
C $109
D $90
Answers
Answer:
B) $9
Step-by-step explanation:
5% can also be written as 0.05
Dividing a percentage by 100 gives you decimal form.
The question is asking for the amount of commission earned, not the total amount. This means that all we have to do is do:
$180 x 0.05 = $9
What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0
Answers
x² +8x +4 = -4y
x² +8x +16 -12 = -4y
(x+4)² -12 = -4y
y = (-1/4)(x +4)² +3
From this, we see the vertex is (-4, 3).
The scale factor, (-1/4) is 1/(4p), where p is the distance from the vertex to the focus. Solving for p, we have
-1/4 = 1/(4p)
p = -1 . . . . . multiply by -4p
So, the focus is 1 unit below the vertex. The focus is (-4, 2).
The directrix is the same distance from the vertex, but in the opposite direction, hence the directrix is y = 4.
_____
On a graph, if all you know is the vertex, you can draw a line with slope 1/2 through the vertex. It intersects the parabola at the y-value of the focus. Then the distance from that point of intersection to the axis of symmetry (where the focus lies) is the same as the distance from that point to the directrix.
Every point on the parabola, including the vertex and the point of intersection just described, is the same distance from the focus and the directrix. This point of intersection is on a horizontal line through the focus, so finding the distance is made easy.
Helen gathered 37 mushrooms in 3 hours. how many mushrooms did she gather if she gathered 7 more mushrooms in the second hour than the first hour and 6 more in the third hour than in the first hour?
pls help!
Answers
Step-by-step explanation:
How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in the second hour than in the first hour, and 6 more in the third hour than in the first hour? = 8.
The table shows the coordinates of some rides on a map of the fairgrounds. Which quadrant shows the roller coaster
Answers
Answer:
Quadrant IV shows the roller coaster.
Step-by-step explanation:
Since you see R in quadrant 4, which has the coordinates 1,-6, it is in the 4th quadrant, or Quadrant IV.
2m + 7m + 3m = 72
whats the answer step by step
Answers
Answer:
m = 6
Step-by-step explanation:
First, add like terms:
2m + 7m + 3m = 72
12m = 72
Divide each side by 12:
m = 6
So, the answer is m = 6
Answer:
m = 6
Step-by-step explanation:
2 m + 7 m + 3 m = 72
12 m = 72
[tex] \sf \small\: m \: = \frac{72}{12} \\ [/tex]
m = 6
Hence, your answer is 6.
A system of equations that had had no solution is called a(n) ______ system.
Answers
Answer:inconsistent
Step-by-step explanation:
there is no explanation its just vocab
PLESE HURRY
If f(x) = (-x)3, what is f(-2)?
-8
-6
6
8
Answers
Answer:
8
Step-by-step explanation:
f(x) = (-x)^3
Let x = -2
f(-2) = (- -2)^3
= (2)^3
= 8
Helppppp 78 squared to the 3rd
Answers
The graph of the function f(x) = (x - 3)(x + 1) is shown.
Answers
Answer:
the second one
Step-by-step explanation:
y is postitive when x < -1 and x > 3, but y is decreasing only when x < 1 so the case where both are true is when x < -1 option 2
Solve the system of linear equations by substitution. Check your solilution.
y=x+3 y=5x-5
Answers
9514 1404 393
Answer:
(x, y) = (2, 5)
Step-by-step explanation:
Substitute the expression for y in the second equation into the first equation:
5x -5 = x +3
4x = 8 . . . . . . add 5-x to both sides
x = 2 . . . . . . divide by 4
y = 2+3 = 5 . . . substitute for x in the first equation
The solution is (x, y) = (2, 5).
Bob went to a baseball game the game started at 9:41 a.m. and it was 3 hours and 43 minutes long when did the game end
Answers
Answer:
The game ended at 1:24 p.m.
Step-by-step explanation:
Distribute and combine HELP NOW!!
Answers
Answer:
9x + 8
Step-by-step explanation:
2(3x + 1) + 5x + 9 - 2x - 3
⇒ 6x + 2 + 5x + 9 - 2x - 3
⇒ 9x + 8
Algebra
2(3x+1)=6x+2
Then combine like terms.
6x+2+5x+9-2x-3
9x+8
I tried to complete this question on determining a trigonometry equation on a graph but I got the wrong answer. What did I do wrong?
Answers
Answer:
[tex]y=2\sin(x)-1[/tex]
Step-by-step explanation:
Let's break it down:
In the sinusoidal function [tex]y=a\sin b(x-c)+d[/tex]:
[tex]a[/tex] represents Amplitude [tex]b[/tex] represents a constant related to the Period[tex]c[/tex] represents Phase Shift [tex]d[/tex] represents Vertical ShiftTo find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.
To find [tex]b[/tex], use [tex]T=\frac{2\pi}{b}[/tex], where [tex]T[/tex] is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is [tex]2\pi[/tex] and therefore
[tex]2\pi=\frac{2\pi}{b},\\b=\frac{2\pi}{2\pi}=1[/tex].
To find Phase Shift, find the horizontal shift from the parent function [tex]y=\sin x[/tex]. In this case, there is no phase shift.
To find Vertical Shift, find the vertical shift from the parent function [tex]y=\sin x[/tex]. In this case, vertical shift is -1.
Thus, we've found:
[tex]a=2[/tex] [tex]b=1[/tex] [tex]c=0[/tex] [tex]d=-1[/tex]Substituting these values into [tex]y=a\sin b(x-c)+d[/tex] , we get:
[tex]y=2\sin 1(x-0)-1=\boxed{y=2\sin(x)-1}[/tex]
I need help is using double-angle formulas to simplify trig expressions.
Answers
Answer:
the answer is c
Step-by-step explanation:
(1-cosb²)/sinx²
What is an algebraic expression for the quotient of w and 7 ? A. W-7 B. W+7 C.W/7 D.7w
Answers
Answer:
the answer for this is C.
Step-by-step explanation:
quotient is the number gotten by dividing a number by another.this is why it is C.
Plsss help me I’m so confused! Brainlist!!!!! Plsss ASAP, or I’m going to fail my class!!!
Answers
Answer:
the median is 12
the mean is 11.16
I believe the answer is:
Median: 12 hours
Mean: 11.2 hours
Hope this helps! :D
Matthew is organizing textbooks on his bookshelf. He has a Spanish textbook, a biology textbook, and a history textbook. How many different ways can he line the textbooks up on his bookshelf?
Answers
Answer:
I think he can line them up a total of 6 times?
Answer:
6
Step-by-step explanation:
Find the perimeter of the semi circle window to the nearest tenth.
20 cm
Answers
Answer:
628.3 cm
Step-by-step explanation:
The window has a semicircle shape = half of a circle
Perimeter of the window = ½(πr²)
Radius (r) = 20 cm
Plug in the value
Perimeter of the window = ½(π*20²)
= ½(π*400)
Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)
An engine encounters a standard environment with a probability of 0.9, and a severe environment with a probability of 0.1. In a normal environment the probability of failure is 0.03, whereas in the severe environment this probability is 0.5.
i. What is the probability of failure?
ii. Given that failure has occurred, what is the probability that the environment encountered was severe?
Answers
Answer:
.077
.64935
Step-by-step explanation:
Let F= failure
let S= severe
we are given that
p(F|S')= .03
p(F|S)= .5
For the first question we are looking for f
we can solve for it by using the law of total probability
so in theory we want
F∩S+F∩S'
Using the conditional probability formula we can solve for the intersections
.03*.9+.5*.1= .077
2.
For this question we are looking for S|F
to solve this use bayes thereom
[tex]S|F=\frac{F|S*S}{F|S*S+F|N*N}=\frac{.5*.1}{.5*.1+.9*.03}=.649[/tex] (or 50/77)
21× 1 2/14. step by step explanation pls!
Answers
Answer:
18
Step-by-step explanation:
21 = 3 x 7
12 = 2 x 6
4 = 2 x 7
( 21 x 12 ) / 14
= ( 3 x 7 x 2 x 6 ) / ( 2 x 7 )
= 3 x 6
= 18
Answer:
18
Step-by-step explanation:
See image attached for guide
21 x 1 2/14
Make 1 2/14 an improper fraction, add the denominator 1 under 21:
21/1 x 16/14
Multiply numerator x numerator, do the same for denominator:
21 x 16= 336
1 x 14 = 14
336/14
Simplify:
336/14 = 24
Hope this helps
Evaluate the expression when t is 4.
Equation: 3 x 2t
Answers
Answer:
Step-by-step explanation:
3*2t
substitute the value of t
=3*2*4
=24
Answer:
24
Step-by-step explanation:
so you do
3x 2(4) subsuite the t for the 4
then do 2*4= 8
then d0 3x8= 24
What is x 7x + 9 = 30
Answers
Answer:
x=3
Step-by-step explanation:
7x+9=30
7x=30-9
=21
x=21÷7
=3
(PLEASE HELP ASAP)
Which of these angle pairs are congruent because they are corresponding
angles?
Answers
Answer:
B. 2 and 6
Step-by-step explanation:
Corresponding angles in the given diagram is 2 and 6 which is option b.
What is Corresponding angles?Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal. The opening and shutting of a lunchbox, solving a Rubik's cube, and never-ending parallel railway tracks are a few everyday examples of corresponding angles. These are formed in the matching corners or corresponding corners with the transversal.
According to above definition
Two parallel lines are intersected by the transversal and 4 corresponding angles comes.
2 and 6
1 and 5
3 and 7
4 and 8
Hence, Corresponding angles in the given diagram is 2 and 6.
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What two numbers add to 7 and multiply to -44
Answers
Answer:
The numbers are 11 and -4
Step-by-step explanation:
Given
Let the two numbers be [tex]x[/tex] and [tex]y[/tex]
such that:
[tex]x + y = 7[/tex]
[tex]x*y = -44[/tex]
Required
Find x and y
Make y the subject in: [tex]x + y = 7[/tex]
[tex]y = 7 - x[/tex]
Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]
[tex]x(7-x) = -44[/tex]
Open bracket
[tex]-x^2 +7x = -44[/tex]
Rewrite as:
[tex]x^2 -7x -44=0[/tex]
Expand
[tex]x^2 +4x-11x -44=0[/tex]
Factorize
[tex]x(x +4)-11(x +4)=0[/tex]
Factor out x + 4
[tex](x -11)(x +4)=0[/tex]
Solve for x
[tex]x =11; x =-4[/tex]
Recall that:
[tex]y = 7 - x[/tex]
So:
[tex]y = 7-11 = -4[/tex]
or
[tex]y = 7--4 = 11[/tex]
PLEASE HELP ME !!! ASAP PLS!!!
Answers
Answer:
AI and AJ
Step-by-step explanation:
Opposite rays start at the same point (A) and go in the complete opposite direction
Mr. Rudd built a cabin with 351 logs, and his friend built a cabin with 113 logs. About how many logs did the two of them use
Answers
Answer:
464
Step-by-step explanation:
351 + 113. Add them both together to get your answer.
Add.
2
1
3x² - 4x-4
3x² +8x+4
+.
Simplify your answer as much as possible.
NO LINKS please and thank you
Answers
Answer:
6x²+4x
Step-by-step explanation:
The given expressions are 3x²- 4x-4 and 3x²+8x+4.
We need to add these two expressions.
3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4
= 6x²+4x
On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x
hey this is my first post, does anyone know how to do this and find V?
Answers
Answer:
16
Step-by-step explanation:
8/1/2
8 divided by 1/2
8 x 2/1 = 16
Answer:
Step-by-step explanation:
P=8/V
1/2=8/V
do cross multiplication
2*8=V*1
16=V