A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____ pounds ||→vx||= ___ pounds What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds ||→v||= ____pounds
Answer:
30 pounds + 15 pounds is 45 pounds is your total force
In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
Required:
Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university.
Answer:
The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.1}{\sqrt{451}} = 0.29[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.29 = 7.45 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.29 = 8.03 hours
The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.
Which equation has a constant of proportionality equal to
There are many equations that has a constant of
proportionality, might want to make it more specific.
Answer:
i can answer this if you tell me whay the constant of proportionality is. or you can add a attachment
Step-by-step explanation:
Solve the following
NO BOTS!
Answer:
75/-3 = -25
Step-by-step explanation:
Numerator: -5^2 + 10^2 = 75
-5^2 = -25, since the minus sign is not in parentheses with the 5, it does not get squared so the negative is added on to five squared which is 25.
10^2 = 100,
-25 + 100 = 75
Denominator: (2 x (-5) x 3) + 3^3 = -3
2 x (-5) x 3 = -30, we can simply multiply these all together so 2 x -5 is -10, and -10 x 3 = -30
3^3 = 27, 3^3 = 3 x 3 x 3, which multiplied all together, 3 x 3 = 9, 9 x 3 = 27
-30 + 27 = -3
Total Fraction = 75/-3
Simplified = -25
Convert 16/100 to decimal.
Answer: 0.16
Step-by-step explanation:
i dont know
Amanda covers the outside of a box, shown in the diagram below, with
decorative paper for a school project. The top of the box is open.
3 in
7 in.
8 in
If the paper costs $0.03 per square inch, what is Amanda's total cost?
Answers:
4.38
6.06
5.04
2.70
Can someone help me? I’ll reward points + brainalist (btw In need help with 8, & 9)
Answer:
8. X=108.
9. X= 14.
Step-by-step explanation:
Hope it was helpful ;)
I need help.
The x-intercepts of the graph of a certain parabola are (0,0) and (10,0).
The axis of symmetry is x =
Answer:
the symmetry would be the opposite
Step-by-step explanation:
hope it helps
Determine whether the given value makes a true statement.
NO LINKS-DRIVES-DOCS ETC.
WILL MARK BRAINLYEST
EARN LOTS OF POINTS
Answer:
Yes it is true
Step-by-step explanation:
cause 11 + 8 = 19
now give me the brainliest lol
which statement best explains why the value of this expression is equal to -8 1/2 y?
solve for x will give brainlest to anyone
2x=99
x=99/2
x=49.5
I hope you like my answer.
Please help before 7 min
Answer:
The Value of x = 23.1 unit
Step-by-step explanation:
Given:
Parallel line intersect
Find:
The value of "X"
Computation:
We know that given lines are parallels
So, by using Ratio theorem we can find the value of "x"
Ratio theorem of parallel lines say
AB / BC = AD / DE
So,
14 / 20 = x / 33
x = [14 x 33] / 20
The Value of x = 23.1 unit
What is the side length, x, of this cube? ____ miles
Please help, I will mark brainlist.
A professor gives a surprise quiz with one multiple choice question. There are 4 answer possibilities: A, B, C, and D. What is
the probability that you randomly guess and select the correct answer?
Give your answer as a fraction
Help me with this problem please
Answer:
[tex](a)\ A_1 = s^2[/tex]
[tex](b)\ A_2 = 4s^2[/tex]
(c) 4 small squares
Step-by-step explanation:
Given
Small Square:
[tex]Dimension: s[/tex]
Large Square:
[tex]Dimension: 2s[/tex] i.e. twice as long as the small square
Solving (a): The area of the small square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_1 = s^2[/tex]
Solving (b): The area of the large square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_2 = (2s)^2[/tex]
[tex]A_2 = 4s^2[/tex]
Solving (c): Number of small square to cover the large square
To do this, we simply divide their areas.
Let n represents the required number; n is calculated as:
[tex]n = \frac{A_2}{A_1}[/tex]
[tex]n = \frac{4s^2}{s^2}[/tex]
[tex]n = 4[/tex]
Hence, 4 small squares is required to cover the large square
What is the distance between the points (-4 , -12) and (-4 , 20) in the coordinate plane?
Answer:
26 units i think
Step-by-step explanation:
Answer:
32 units
Step-by-step explanation:
from -12 to 0 it is 12 units, and from 0 to 20 it is 20 units.
12 + 20 = 32 units
Find the values of X and why. Dragon drop the answers into the box is below.
Answer:
1 3/4 1
Step-by-step explanation:
4x² - 12x + 8
A.Not factorable
B. factorable
Answer:
It is factorizable
Step-by-step explanation:
4(x² - 3x + 2) is the factoried version :)
Cassie buys a soccer ball that cost 3249 she gives the store clerk $40 how much change should she get back
Answer:
$7.51
Step-by-step explanation:
I think you meant $32.49*
$40.00
- $ 32.49
-----------------
$ 7.51
Since she's giving the clerk $40.00 for an item that only costs $32.49, you subtract $32.49 from $40.00 to get the amount of change she would get back.
HELP PLEASE CAN’T FIGURE THIS OUT NEED HELP
Answer:
LN= 68°
Step-by-step explanation:
1 million =_____________ hundred thousand
Answer:
seriously,I think the answer is 10 hundred thousand
Step-by-step explanation:
10*100000=1000000
The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the distance hit by the legendary champion, Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distances were measured. If the data of these two random samples were provided, what type of hypothesis test would be most appropriate to determine if both balls have the same mean overall distance?Group of answer choices
Answer:
The tabulated value is less than the calculated value, therefore we accept the null hypothesis and It show that there is a difference in the mean overall distance of brands.
Step-by-step explanation:
a rectangular tank is 3/4 filled with water, when the metal prism is placed in the tank, it is 79/100 full. find the width w of the metal prism..........
Answer:
no inglish :"<
sorry pero espero y alguien te responda bien pronto
2)Preparation of the statement of cash flows involves:
a.Computing the net increase or decrease in cash.
b.Computing and reporting net cash provided or used by operations.
c.Computing and reporting net cash provided or used by investing activities.
d.Computing and reporting net cash provided
Answer:
The Answer is gonna C.Computing and reporting net cash provided or used by investing activities.
Step-by-step explanation:
I hope I helped
Hey answer please thanks
Answer:
Volume of a cone = 18 in³
Step-by-step explanation:
diameter of cone = 3 in
radius of cone = 1.5 in (diameter/2)
height = 8 in
Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]
V = (3 × 1.5 × 1.5 × 8)/3
V = 54/3
V = 18 in³
Find The greatest common Factor of 7, 15, 21
Answer:
1
Step-by-step explanation:
1. List the prime factors of each number.
2. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.
3. Multiply all the circled numbers. The result is the GCF.
Answer:
1
Step-by-step explanation:
Rewrite each if the following division problems as a multiplication problem.
a. 24/3 = 8
b. 336/8 = x
9514 1404 393
Answer:
a. 24 = 8·3
b. 336 = 8·x
Step-by-step explanation:
A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).
a/b = c ⇔ a = bc
__
a. 24/3 = 8 ⇒ 24 = 3·8
b. 336/8 = x ⇒ 336 = 8x
Camden's gross pay is $2000. Camden gets pald every 2 weeks. Camden's Federal withholding is 15.6% of his gross pay, Social Security is 6.2% of his
gross pay, and Medicare is 1.45% of his gross pay. Find Camden's net pay.
Answer:
1535
Step-by-step explanation:
camdens net pay will be 1535
There are 120 children at a school assembly. 15 are 3rd graders; 45 are 4th graders; and 60 are 5th graders. Each student has entered their name in a drawing for a prize.
What is the probability that the winner will be a 3rd grade student?
Answer:
1/8 for a third grader to win
Step-by-step explanation:
15/120=1/8
(Hypothetical.) Suppose a certain person's reaction time, in seconds, for pressing a button on a visual cue has the following cumulative distribution function: F (x )equals 1 minus fraction numerator 1 over denominator (x plus 1 )cubed end fraction space x greater than 0 What is the probability the person's reaction time will be between 0.9 and 1.1 seconds
Answer:
the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
Step-by-step explanation:
Given the data in the question;
the cumulative distribution function F(x) = [tex]1 - \frac{1}{(x + 1)^3}[/tex] ; [tex]x > \theta[/tex]
probability the person's reaction time will be between 0.9 and 1.1 seconds
P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )
P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)
= [ [tex]1 - \frac{1}{(x + 1)^3}[/tex] ] - [[tex]1 - \frac{1}{(x + 1)^3}[/tex] ]
we substitute
= [ [tex]1 - \frac{1}{(1.1 + 1)^3}[/tex] ] - [[tex]1 - \frac{1}{(0.9 + 1)^3}[/tex] ]
= [ [tex]1 - \frac{1}{(2.1)^3}[/tex] ] - [[tex]1 - \frac{1}{(1.9)^3}[/tex] ]
= [ [tex]1 - \frac{1}{(9.261)}[/tex] ] - [[tex]1 - \frac{1}{(6.859)}[/tex] ]
= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]
= 0.8920203 - 0.8542062
= 0.0378
Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
