Answer:
x = 4
y = 4√3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = 8
Adjacent = y
Opposite = x
Recall: SOHCAHTOA
✔️To find x, apply SOH:
Sin 30 = Opp/Hyp
Sin 30 = x/8
x = 8 × sin 30
x = 8 × ½ (sin 30 = ½)
x = 4
✔️To find y, apply CAH:
cos 30 = Adj/Hyp
Cos 30 = y/8
y = 8 × Cos 30
y = 8 × √3/2 (cos 30 = √3/2)
y = 4 × √3
y = 4√3
Find the lateral surface area of the prism. 1.5ft 3ft 4ft
Answer:
ammmm walang lumabas
Step-by-step explanation:
sorry talaga po sa susunod nalang
plz help and no spam plz. A large university accepts 60% of the students who apply. Of the students the
university accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?
Answer:
2100
Step-by-step explanation:
60%=0.6
35%=0.35
0.6*0.35=0.21
0.21*10000=2100
A delivery company is logging the number of miles each employee drives each day. The company found an average of about 85.6 miles. Assume that the standard deviation is 9.85 miles and that a random sample of 50 drivers was used to determine the average. Which statements are true about this situation?
1.)The 99% confidence interval is from about 81.43 to 90.58 miles.
2.)The 95% confidence interval is from about 82.87 to 88.33 miles.
3.)The margin of error for 95% confidence is about 2.52 miles.
4.)The sample isn’t large enough to use a normal distribution.
5.)The margin of error for 99% confidence is about 3.59 miles.
There are multiple answers
The delivery company's statistics on the average driving miles show that the true statements are:
95% confidence interval ... 82.87 to 88.33 miles.Margin of error 99% confidence ... 3.59 miles.What is the 99% confidence interval?Z score for 99% confidence interval is 2.576 so this can be found as:
= 85.6 ± (2.576 x 9.85) / √50
= (82.01 to 89.19)
What is the 95% confidence interval?Z score for 95% confidence interval is 1.960 so this can be found as:
= 85.6 ± (1.96 x 9.85) / √50
= (82.87 to 88.33)
What is the 95% confidence margin of error?With a Z score of 1.960:
= (1.96 x 9.85) / √50
= 2.70 miles
What is the 99% confidence margin of error?= (2.576 x 9.85) / √50
= 3.59 miles
The correct options are therefore 2 and 5.
Find out more on the margin of error at https://brainly.com/question/10218601.
Find the solution of the system of equations.
−2x+9y= -17
-x - 3y = -1
Answer:
x = 4 and y = −1
(4, -1)
Step-by-step explanation:
I going to solve this system of equations by elimination. (You could also solve by substitution too.)
Multiply the first equation by 1, and multiply the second equation by -2.
1(−2x+9y= -17)
-2(-x - 3y = -1)
Becomes:
−2x + 9y = −17
2x + 6y = 2
Add these equations to eliminate x:
15y = −15
15y/15 = -15/15
y = -1
Now we solve for x:
-x -3(-1) = -1
-x + 3 = -1
-3 -3
-x = -4
x = 4
Hope this helped!
I need to solve these two equations using either substitution or elimination
1/4x - 1/2 = 5
3x + 2/3y = -40
Answer:
y = -15
x = -10
Step-by-step explanation:
1/4x - 1/2 = 5 (1)
3x + 2/3y = -40 (2)
Multiply (1) by 4
1/4x - 1/2 = 5
1/4x * 4 - 1/2y * 4 = 5 * 4
4/4x - 4/2y = 20
x - 2y = 20 (3)
Multiply (2) by 3
3x + 2/3y = -40 (2)
3x * 3 + 2/3y * 3 = -40 * 3
9x + 6/3y = -120
9x + 2y = -120 (4)
x - 2y = 20 (3)
9x + 2y = -120 (4)
Using elimination method, Add (3) and (4)
9x + x = -120 + 20
10x = -100
x = -100/10
x = -10
Substitute x = -10 into (3)
x - 2y = 20 (3)
-10 - 2y = 20
-2y = 20 + 10
-2y = 30
y = 30/-2
y = -15
y = -15
x = -10
What is the y-intercept for the line at the right? _________ .What is the slope of the line? __________ .Write the equation of the line in slope-y intercept form.
This probability is greater than the probability of flipping exactly two tails, which is .
Answer:
The probability of getting exactly two tails = 1/4
All the values greater than 1/4
or 3/4
Step-by-step explanation:
In a flip of a coin the probability of getting a tail is 1/2. If this is denoted by p =1/2 then q= 1-p= 1-1/2= 1/2
and if we have number of trials n=2
Then the binomial distribution can be applied.
(p+q)ⁿ =(p+q)² = 2c0p⁰q2 + 2c1p¹q¹ + 2c2p²q⁰
We wish to find probability of flipping exactly two coins given by 2c2p²q⁰
= 2c2 (1/2)²(1/2)⁰
= 1/4
So the probability of getting exactly two tails = 1/4
The probability greater than 1/4 can be all the values from 2/4, 3/4 ------1
or it can be found by
1- 1/4 = 3/4
as the total probability is always equal to 1
Colorado Springs sales tax is 8%. If you bought a sweatshirt for $20
(Remember money always has two decimal places: $0.00)
the amount of sales tax would be: $
the total purchase amount would be: $
Answer:
the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively
Step-by-step explanation:
Given that
The sales tax rate is 8%
And, the purchase price of sweatshirt is $20
We need to find out the sales tax and the total purchase amount
The sales tax is
= $20 × 8%
= $1.60
And, the total purchase amount is
= $20 + $1.60
= $21.60
Hence, the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively
What is the answer to this question?
Answer:
240 in
Step-by-step explanation:
hope this helps :)
7x2 + 49x - 56
What is the GCF? (If there is no GCF, type "na")
When going through the process of determining the factors after removing any possible GCFs, the two factors need to:
•add up to______x
• multiply to_______
Answer:
na
Step-by-step explanation:
i know it already
Adealer gained a 10% profit by selling an article for birr 330.00 .What was the original price of the article
Answer:
$297
Step-by-step explanation:
Given data
Percent profit=10%
sales price= $330
% profit= (sales price-cost price)/sales price* 100
let the cost price be x
Substitute
10= (330-x)/330* 100
cross multiply
10= (33000-100x)/330
10*330= 33000-100x
3300=33000-100x
3300-33000=-100x
-29700=-100x
29700=100x
x=29700/100
x=297
Hence the cost price is
cost price=$297
La suma de dos números enteros consecutivos es
menor que 57.
Answer: La respuesta es 28 y 29. Tengo que explicar?
If you place a 40-foot ladder against the top of a building and the bottom of the ladder is 17 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
no se ingles pero, alguien me puede ayudar?
Answer:
The building is 36.2 ft tall.
Step-by-step explanation:
i got it right on the deltamath
5. The circle graph below shows 500 tickets
sold at a school concert.
17%
Adults
24%
Students
Children Under 12
Seniors
55%
How many tickets were sold to students?
A 55 tickets
B 120 tickets
C 225 tickets
D 275 tickets
Help!!!
Factor 64f - 64g + 96 to identify the equivalent expressions
Choose 2 answers
Answer:
Its a and d
Step-by-step explanation:
I did this assignment i got those answers
Please help ASAPppppppp
Answer:
206 miles more
Step-by-step explanation:
Divide 2240 and 28 and you get 280 then divide 2368 and 32 and subtract 280- 74
Kevin and Ornella entered a fun run. Their times for completing the course totaled 1 hour 52 minutes. Kevin's time was 4 minutes less than Ornella's. How many minutes did it take Ornella to complete the course?
Answer:
58 minutes
Step-by-step explanation:
Kelvin and Ornella completed the course in 1 hour 52 minutes
60 minutes + 52 minutes
= 112 minutes
Kelvin time is 54 minutes
Kelvin time is 4 minutes less than ornella
Hence Ornella time is 58 minutes
HELP PLS
nobody two dancers liquid smooth deftones korn mitski
perimeter: 59
area: 247
Answer:
agreed
Step-by-step explanation:
*
30 35 40
45 50 55 60
65 70 75
80
c. Determine the median
Answer:
median is 55
Step-by-step explanation:
You have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour. You need to have 500 tables set up by 6pm. When should they begin setup?
You should begin setup by 12 PM to setup 500 tables.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, you have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour.
So, in one hour total number of table can set up = 6×13
= 78
Number of hours = 500/78
= 6.41
≈ 6 hours
Therefore, you should begin setup by 12 PM to setup 500 tables.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ3
Which choices are equivalent to the expression below? Check all that apply.
Answer:
it is 8
Step-by-step explanation:
Answer:I just got 8 and 64 thats all I got not sure if its gonna be correct for the 64 but for 8 I'm positive about it.
Step-by-step explanation:
PLEASE HELP! Links will be reported!
Answer:
y=x+5
Step-by-step explanation:
bc each time its increasing by 5
Help me plsss with this problem i took a screen shot.
Answer:
x - 15 ≤ -6
+15 +15
X = 9
Quelqu'un pourrais m’aider à faire cette exercice svp
Réponses:
1. pour calculer la distance OF on va utiliser tout simplement le théorème de pythagore
OF = √(68²+51²)
OF = √(4624+2601)
OF = √(7225)
OF = 85 mm
2. étant donné que la cible n'est pas atteinte si la pointe de la flèche est sur le bord, et on sait que le rayon de la cible est 100
donc la distance OF ne doit pas dépasser le nombre 100
OF < 100
3. la suite de la question trois n'est pas affichée malheureusement!
bonne journée ^^
This problem please
surface areas:
1. 94 ft
2. 96 cm
volumes:
1. 60 ft
2. 42 cm
The area of a circle is equal to − + . What is the radius of the circle?
Answer:
B
Step-by-step explanation:
Solving with formula of area of circle,B is the correct answer of this question.
help needed! please and thank uuu! no links please!
Answer:
(2x×3x)+(3x×-3)
Area=L×W
Blue rectangle = 2x×3x
Pink rectangle = 3x×-3
(2x×3x)+(3x×-3)
Algunos estudiantes se repartieron una bolsa de galletas. Todos tomaron la misma cantidad y sobraron 5
What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? (1 point)
Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)
Answer:
2x + 5
Step-by-step explanation:
I am assuming you are talking about a linear function. If it is, then the equation would be:
2x + 5.
Hope this helps!
Answer:
[tex]y = 2x + 5[/tex]
Step-by-step explanation:
For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.
In order to find the equation, we must find the slope and y-intercept.
Finding mThe slope can be found with the formula:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.
Substituting in values from the points, we get:
[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]
Finding bIn order to find the y-intercept, we must substitute the slope back into the original equation:
[tex]y = 2x + b[/tex]
After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.
[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]
Finding the equationAfter this, all that must be done is to substitute the values for b and m back into the original equation.
[tex]y = 2x + 5[/tex]
To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.
[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]