D)32/40
Hope it helps you
Answer:
[tex]\frac{24}{40}[/tex]
Step-by-step explanation:
Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (relative to the angle asked for)
The opposite of Angle Z is 24
The hypotenuse no matter what would always be 40; therefore,
Sin(Z) = [tex]\frac{24}{40}[/tex]
Hope this helps!
Let X and Y denote the latitude and longitude of a person who is thought to be lost in a certain part of a forest. If we assume that the density of X is uniform for 2 < X < 8.2 and the density of Y is also uniform for 3.01 < Y < 6.3, and we assume that X and Y are independent, then the joint density of X and Y is
Answer:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
Step-by-step explanation:
We know that the possible values of X (all with the same probability) are:
2 < X < 8.2
And for Y we have the range (also uniform):
3.01 < Y < 6.3
Then we have a rectangle of area.
(8.2 - 2)*(6.3 - 3.01) = 20.398
Such that the probability for all the points inside the rectangle should be exactly equal, then we will have:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
Such that if we integrate this in the given region, the integral will be equal to 1, as we should expect.
And zero if the point is outside that region, this is:
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
Answer needed! Answer needed! Answer needed!
Answer:
Points: (1,-1) (4,-1) (4,-3)
Step-by-step explanation:
Hope this helps
Answer:
(1,-1) (4,-1) (4,-3)
Step-by-step explanation:
bye have a good day
What’s the solution for this?
Answer:
( -1 , 5 )
Step-by-step explanation:
Solution = Coordinate where the two lines intersect
The two lines intersect at ( -1 , 5 )
Thus solution = ( -1 , 5 )
13. A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12minutes 30 seconds, giving your answer in meters.
Answer:
11.46 meters
Step-by-step explanation:
12min 30sec = 12.5min
55km/h * 12.5min * 1h/60min = 11.4583333333meters
Solve the system of equations.
2y+7x=−5
5y−7x=12
We can solve this by substitution method.
Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.
[tex]5y-7x=12[/tex]
[tex]5y-7x-12=0[/tex]
[tex]5y-12=7x[/tex]
Therefore, [tex]7x=5y-12[/tex]
Now replace the 7x in the first equation with 5y - 12:
[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)
[tex]2y+(5y-12)=-5[/tex]
[tex]7y-12=-5[/tex]
[tex]7y=7[/tex]
[tex]y=1[/tex]
Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12
[tex]7x=5y-12[/tex] (substitute in y = 1)
[tex]7x=5(1) -12[/tex]
[tex]5x=5-12[/tex]
[tex]7x=-7[/tex]
[tex]x=-1[/tex]
__________________________________________________________
Answer:
[tex]y=1\\x=-1[/tex]
Solve for x
3x−2=4x+5
Answer:
the answer for x equal negative 7
Slove it step by step
Answer:
17is the truth
Step-by-step explanation:
Determine if lines AB and CD are parallel, perpendicular, or neither. A(5,-8), B(-2,-10), C(-6,-13), D(-2,1)
Answer: The answer is neither because the slopes are 2/7 and 7/2.
Step-by-step explanation:
While these answers look like they are perpendicular, they are not since the signs are the same. If they were perpendicular the signs would be different. Ex: 2/7 and -7/2. These points are perpendicular since their signs changes as well as being "flipped".
:)
If the perimeter of each of the seven regular hexagons in the figure shown is 24, what is the perimeter of the figure?
Answer:
the answer is 144(that is 6×24)
What do "Opposites" mean in Elimination?
Answer:
Step-by-step explanation:
what is the meaning of eliminated
Please help!!! I am stressed so much!!
Answer:
You have to simplify the fraction and turn it into a decimal.
Step-by-step explanation:
Meaning: Make the fraction smaller and turn it into the correct decimal.
EXAMPLE:
2/4 simplified is 1/2
1/2 is equal to 0.50
1 hundredth + 3 tenths =?hundredths
Answer:
.01 + .3 = 0.31
Step-by-step explanation:
Find the equation of the line parallel to y=-11-5, that passes through the point
(4, -3). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or-a/b.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
Answer: y=41−11x.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community. Construct a 95% confidence interval for the proportion of residents who think traffic is getting worse in their community.
Answer:
The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community.
This means that [tex]n = 802, \pi = \frac{265}{802} = 0.3304[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 - 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.2978[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 + 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.3630[/tex]
The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).
Evaluate the expression when
a = 0.3
b = 0.5
c = 0.25
Answer:
See The Image Below:)
Step-by-step explanation:
Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?
Answer: $1,540.00 is the total amount needed for the class trip
Step-by-step explanation:
Data: $110.00 earned for class trip
14th of the money needed
Money needed: x
Step one, Make the equation
110x14=x
Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.
Step two, Evaluate the equation
110x14=x=1540=x
Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the answer of x=1540.
However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'
I hope this helps!
x + a = c , solve for x
Answer:
Step-by-step explanation:
x+a=c
x=c-a
how is y=2x^2-8x+9 rewritten in vertex form.
9514 1404 393
Answer:
y = 2(x -2)^2 +1
Step-by-step explanation:
Start by factoring the leading coefficient from the x-terms.
y = 2(x^2 -4x) +9
Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)
y = 2(x^2 -4x +4) +9 -2(4)
Put in the desired form.
y = 2(x -2)^2 +1
This matches vertex form ...
y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)
I need Help!
+9 - (+12) =?
Answer:
+9-12
==3
Step-by-step explanation:
when u multiply - and + it will always be -
Answer:
To simplify this, it is simply.
9 - 12
Because the + means its a positive.
9 - 12 = - 3
The expense ratio (in percentage) for large-cap growth mutual funds have the following sample data0.52, 1.06, 1.26, 2.17, 1.55, 0.99, 1.10, 1.07, 1.81, 2.05 0.91, 0.79, 1.39, 0.62, 1.52, 1.02, 1.10, 1.78, 1.01, 1.15The data is believed to be normally distributed.a. Is there compelling evidence for concluding that the population mean expense ratio exceeds 1%? Carry out a test of the relevant hypothesis using a significance level 0.01.b. Referring back to part (a), describe in context type I and II errors and say which error you might have made in reaching your conclusion. The source from which the data was obtained reported that ? = 1.33 for the population of all 762 such funds. So did you actually commit an error in reaching your conclusion?c. Suppose that ? = 0.5, determine and interpret the power of the test in part (a) for the actual value of ? stated in (b).
Answer:
Part a: Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b: Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c: Power = 0.6591=0.66
Step-by-step explanation:
Part a:
Let the null and alternate hypotheses be
H0: u ≤ 1 against the claim Ha: u > 1
The significance level is ∝=0.01
As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom
This is one tailed test the critical region is t > ± 2.539
The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486
We take population mean = u= 1
The test statistic is
t = x`-u/ s/ √n
t= 1.24-1 / 0.445/√20
t= 0.24/0.0995
t= 2.412
Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.
Part b:
Type I errors are those errors when the null hypothesis is true and is rejected.
Type II errors are those in which the null hypothesis is false and is accepted.
If we had rejected the null hypothesis as it was true then we would have made a type I error.
Population mean = u = 1.33
And our null hypothesis is u= 1
Yes we accepted the null hypothesis when it is false so we made a type II error.
Part c:
When σ= 0.5
For Part a: μ= 1.33
Power = P (reject H0/ H0 is false)
= 1-β
P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)
= P (z > 2.539+ (1-1.33) /0.5 *√20)
=P (z > 2.539-2.9516)
= P (z > 0.4126)
= 0.5 - P (z= 0.2938) from the area of table.
= 0.5- 0.1591
=0.3409
Power = 1-β = 1- 0.3409= 0.6591=0.66
what is the volume of the aquarium?
Answer:
3000 in3 ? I haven't actually done this i-ready before- but I believe it's
Width x Length x Height = Final result?
Step-by-step explanation:
An electronics store advertises that one lucky customer will be given a television at the store's 10th anniversary celebration on the day of the
celebration, 150 customers, of which 82 are less than 30 years old and 68 are 30 years old or more, complete a form to enter for the chance to win
the television. The manager of the store wants to select the winner by drawing a form out of a box, but the box can only hold 100 forms.
Which method ensures both that the manager can use the box for the selection and that each customer has a fair chance of winning?
A. Divide the forms into two lots based on age. Then, randomly select one of the lots and place it in the box Randomly select the
winning customer's form out of the box.
B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box
Randomly select the winning customer's form out of the box
c. Sort the forms alphabetically by last name Then, place the first 100 forms into the box Randomly select the winning customer's
form out of the box
D. Randomly divide the 150 forms into five equal-sized groups. Then randomly select 4 of the groups and place them in the box
Randomly select the winning customer's form out of the box
Answer:
the answer to this question is"B"
B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box
Randomly select the winning customer's form out of the box
What a in electronics?AMPERE - A unit of measure for the flow of current in a circuit. One ampere is the amount of current flow provided when one volt of electrical pressure is applied against one ohm of resistance.
What is the use of electronics?Electronics uses active devices to control electron flow by amplification and rectification, which distinguishes it from classical electrical engineering, which only uses passive effects such as resistance, capacitance and inductance to control electric current flow.
To learn more about Electronics, refer
https://brainly.com/question/18569581
#SPJ2
plz help????????????
Answer:
b.
Step-by-step explanation:
Parallel lines have the same slope.
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answer:
>
Step-by-step explanation:
41/8 = 5.125
Can someone help me please???
Simplify.
(x^5)^4
Answer:
x^20 please mark me brainliest
Step-by-step explanation:
MY BRAIN IS GONNA EXPLODE I NED AWNSER, I WILL MARK BRAINLEIST!!!!!
Answer:
I’m pretty sure the answer is 1/4.
Step-by-step explanation:
i would love a little help
Step-by-step explanation:
36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm
36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm
36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm
36D) area of ∆ABC = ½×6.9×4= 13.8 cm²
36E) sin A = sin 30° = 0.5
how to put 10x - 3y= -6 in slope intercept form
Answer:
y=10/3x+2
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10x-3y=-6
-10x. -10x
-3y=-6-10x
/-3. /-3
y=10/3x+2
ILL MARK U BARINLIEST HELP!!!!!!!!!!!!
A ball is tossed into the air. The quadratic function h(t) = -16t^2 + 14t + 5 represents the situation, where t represents the time, in seconds, after the ball is tossed and h(t) represents the height of the ball, in feet. Which of the following statements is NOT true
A- the constant term represents the height from which the ball was tossed.
B- The factors of the function can help determine when the ball hit the ground.
C- The leading coefficient indicates that the graph of the parabola that represents the ball's height over time will open in an upward direction.
D- The graph of the parabola that represents the ball's height over time will have a relative maximum.
BRAINLIEST IF YOUR CORRECT PLEASE HELP HURRY!
The admission fee at an amusement park is $3.50 for children and 13.00 for adults. On a certain day, 288 people entered the park, and the admission fees collected totaled $2,338.00. How many children and how many adults were admitted?
There were ___ children and ____ adults admitted into the park
Answer:
148 children and 140 adults were admitted.
Step-by-step explanation:
Given that the admission fee at an amusement park is $ 3.50 for children and $ 13.00 for adults and on a certain day, 288 people entered the park, and the admission fees collected totaled $ 2,338.00, to determine how many children and how many adults were admitted you must be perform the following calculation:
13 - 3.5 = 9.50
288 x 3.50 = X
1.008 = X
2338 - 1008 = 1330
1330 / 9.5 = 140
288 - 140 = 148
148 x 3.5 + 140 x 13 = X
2338 = X
Therefore, 148 children and 140 adults were admitted.