Two houses sit along the southern shore of a lake. The distance between the houses is
150 m. From one house, a green light can be seen at the end of a dock across the lake.
The direction to the light from this house is 8 east of north. From the other house the
light appears to be 48 west of north. What is the distance from each house to the light?
Answer:
150÷48=3hrs and 125minutes
Step-by-step explanation:
speed =distance/time
Data from a representative sample were used to estimate that 31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money. You decide to conduct a survey to estimate this proportion for the current year. What is the required sample size if you want to estimate this proportion with a margin of error of 0.05
Answer:
The required sample size is 329.
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money.
This means that [tex]\pi = 0.31[/tex]
Confidence level is not given, so we assume 95%.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the required sample size if you want to estimate this proportion with a margin of error of 0.05?
We need a sample size of n. n is found when M = 0.05. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.31*0.69}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96\sqrt{0.31*0.69}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.31*0.69}}{0.05}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.31*0.69}}{0.05})^2[/tex]
[tex]n = 328.6[/tex]
Rounding up
The required sample size is 329.
I NEED HELP.
2X^2-8X= BUT FACTORISE!
Answer:
This is my answer
2x(x-4)
Step-by-step explanation:
2x(x-4)
[tex]\tt{} {2x}^{2} - 8x[/tex]
[tex]\tt{}2x \times (x - 4)[/tex]
how can i do dis plss
Which letter has line symmetry?
Answer:
e. M
Step-by-step explanation:
Answer:
M has line symmetry
Step-by-step explanation:
hope this helps
I GIVE BRAINLIEST FOR ANSWERS AND EXPLANATION
Which expression can you substitute
for x in 5x + y = 8 to solve the system
below?
5x + y = 8
x + 4y = 2
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:(30/19,2/19)
Equation Form: x=30/19, y=2/19
please, please, help me. I'll mark you Brainleist Please.
Answer:
it goes 2,4,6
bottom 6,12,18,24
Step-by-step explanation:
hope this helps
What is the area of the shaded region?
13 km
22 km
square kilometers
Step-by-step explanation:
Area of the triangle is
= 1 /2 * base * height
= 1 /2 * 22 * 13
= 143 square kilometers
Hope it will help :)❤
Answer:
58.5
Step-by-step explanation:
( (22 * 13) / 2 ) - ( (13 * 13) / 2 ) = ( 286 / 2 ) - ( 169 / 2 ) = 143 - 84.5 = 58.5
Answered your previous post about this question, this is the corrected version. Read the 22 as 23.
If f(x) = - 2x - 8 and g(x) = 4x - 2, for which values of x is f(x) = g(x)? *
9514 1404 393
Answer:
x = -1
Step-by-step explanation:
You want ...
f(x) = g(x)
-2x -8 = 4x -2
-6 = 6x . . . . . . . . . . add 2x +2
-1 = x . . . . . . . . . . divide by 6
Give triangle ABC with coordinates A(3, 8), B(9,0) and C(5,2). How can you prove that triangle ABC is isosceles? Show your work.
Answer:
The distances AB and BC are
√
52
and therefore isosceles.
Explanation:
If we label them A(13,-2) B(9-8) and C(5-2)
The distance between A and B:13⇒9=4−2⇒−8=42+62=52 so the distance is √52
The distance between B and c:9⇒5=4−8⇒−2=642+62=52
the distance is
√
52
The distance between A and C is 8 as they are both on -2 for
y
The distances AB and BC are
√
52
and therefore isosceles.Step-by-step explanation:
PLEASE ANSWER ASAPPPP
Answer:
If they are parallel then the answer should be 28m
Step-by-step explanation:
Answer:
98 m
Step-by-step explanation:
105/30 = 3.5
3.5 x 28 = 98
Which of the statements below is true for the following set of numbers?
42,20,36,51.60.28
Answer:
the answer is the file below
Evaluate the expression. 1.8 plus (8.9 - 2.9)
Answer: 7.8
Explanation: 8.9 - 2.9 = 6.0 + 1.8 = 7.8
PLSSSSSSSSSs help I NEED THIS DONE IN 20 MINUTES
Answer:
280 hope this helps
Step-by-step explanation:
Answer:
280 I believe so
Step-by-step explanation:
brainlist if right pls
Can you help me on question 11
Answer:
B. 1
All numbers to the 0 power equal 1.
What measurement would be use to describe how much water a pot can hold
Answer:
I'd say liters or gallons! Hope this helps!! (:
Answer:
Hi Uh I Forgot but i know my teacher showed me
Step-by-step explanation:
PLZ HELP BRAINLIEST AND 20 POINTS
When graphed, which equation would not make a straight line?
x-values y-values
3 10
4 13
5 16
6 19
x-values y-values
13 28
14 30
15 32
16 34
x-values y-values
1 7
2 6
3 5
4 4
x-values y-values
3 0
4 4
5 9
6 15
Answer:
the last set
Step-by-step explanation:
hope this helps :) have a nice day !!
**please let me know if this was wrong**
Surface Area of a Rectangle please help
Answer:
Step-by-step explanation:
(15x8x2)+(15x6x2)+(6x8x2)=516m
Darryl has 2/3 of a bag of dog food. His dog eats 4/9 of a bag per week. How many weeks will the dog food last?
A fraction is a part of a whole and it can be expressed as a quotient, in which the numerator is divided by the denominator.
The number of weeks the dog will take to finish 2/3 of a bag of dog food is 1 (1/2) weeks.
What is a fraction?A fraction is a part of a whole and it can be expressed as a quotient, in which the numerator is divided by the denominator.
We have,
The amount of dog food in the bag = 2/3
The amount of dog food the dog eats per week = 4/9
We need to find the number of weeks that the dog finishes 2/3 of dog food.
The number of weeks:
1 week = 4/9 dog food
Multiply both sides by (9/4 x 2/3)
(9/4 x 2/3) x 1 week = (9/4 x 2/3) x 9/4 dog food
3/2 weeks = 2/3 dog food
[ 3/2 = 1 (1/2) ]
1(1/2) weeks = 2/3 dog food
This means in one and a half weeks the dog finished 2/3 of dog food.
Thus the number of weeks the dog will take to finish 2/3 of a bag of dog food is 1 (1/2) weeks.
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ5
Marking as brainliest, if u answer this an comment ur inst
What is the circumference of the pizza?
Answer:
28.29 inch.
Step-by-step explanation:
So diameter is 9.
Circumference = pi x d
= 22/7 x 9
=28.29inch.
i need help with question 1 . Thanks
9514 1404 393
Answer:
x² +2x +1
Step-by-step explanation:
Substitute the given expressions and collect terms.
p(x) -t(x)
(x² +3x -4) -(x -5)
x² +3x -4 -x +5 . . . . . eliminate parentheses
x² +2x +1 . . . . . . . . . .combine like terms
What is an equation of the line that passes through the points (-4, 8) and
(2, -1)?
Answer:
Kayla, learn this, :D more math is based on it. Just learn it, just memorize the following
Step-by-step explanation:
m = slope
m = rise / run
m = y2 - y1 / x2 - x1 ( this is still rise over run but in point form )
they give us two points to plug into the above formula
P1 = (-4, 8 ) in the form of ( x1, y 1 )
P2 = (2, -1) in the form of (x2, y2 )
now plug those into the above formula
m = ( -1 - 8 ) / ( 2-(-4) )
m = -9 / ( 2 + 4 )
m = -9 / 6
m = - 3/2
since we know the slope now , we can use the point slope equation of
y - y1 = m ( x - x1)
use the m we found and either point , P1 or P2
y - 8 = -3/2(x -(-4) )
y-8 = -3/2(x + 4)
y-8 = -3/2x - 6
y = -3/2x -6 + 8
y = -3/2x + 2
there you go :)
The question that is asked....
Answer:
D 110°
Step-by-step explanation:
u + 40° + 30° = 180° ( being sum of angles of triangle )
u = 180° - 70°
u= 110°
Hope it helps :)
Figure B is a scaled copy of Figure A. Figure A Figure B
Answer:
I believe 2.
Step-by-step explanation:
All the lengths can be multiplied by 2 to equal the lengths of the larger triangle. However, I am not positive.
Answer:
2
Step-by-step explanation:
22x2=44
10x2=20
32x2=64
40x2=80
all of them match so yes they are equivalent
Dead animals do not have any energy in them.
True or False
Answer:
Step-by-step explanation:
true
Answer:
True
Step-by-step explanation:
219 is what percent of 146?
Answer:
150
Step-by-step explanation:
100%/ x% = 219/ 416
Cross multiply
x = 150 %
219 is 150% of 416
Juan saved x dollers last month. This month he saved $8 more than 3 times the amount he saved last month. he saved a total of $141 how much did he save last month. Write an equation and solve.
Answer:
he save last month $33.25
Step-by-step explanation:
Let us assume last month saving be x
This month saving be 3x + $8
And, the total would be $141
So based on the above information
The equation is
x + 3x + $8 = $141
4x + $8 = $141
4x = $141 = $8
4x = $133
x = $33.25
Hence, he save last month $33.25
Therefore the same is relevant
Please help with these math problems. Please don't just do it for points I really need helpp
Answer:
Disclaimer: I'm not sure because the numbers are too blurry. If my numbers don't match yours, just replace them in my work and recalculate them.
1) not tangent
2) tangent
3) not tangent
Step-by-step explanation:
If they are tangent, the triangles formed will be right triangles.
Check using the Pythagorean theorem:
1) 18² = 14.4² + 11.7²
324 = 207.36 + 136.89
324 ≠344.25 not tangent
2) 7.5² = 4.5² + 6²
56.25 = 20.25 + 36
56.25 = 56.25 tangent
3) 20² = 12² + 12²
400 = 144 + 144
400 ≠ 288 not tangent