Answer:
The final balance is £1,720.
The total compound interest is £520
you don't even to round it at all
(31 points) Wilson County School District consists of 2,548 students. The district decided to conduct a survey regarding their new dress code policy. Wilson County School District surveyed 479 of their students and found that 42% of those surveyed disliked the new dress code policy. What is the margin of error, assuming a 95% confidence level?
Answer:
+ or - 0.044
Step-by-step explanation:
The margin of error is 0.044.
What is a Margin of Error?A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.
The margin of error using this formula, where z is the critical value.
[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]
To determine a margin of error for a sample proportion,
Where n is the sample size and is the sample proportion, these assumptions must be true.
n t ≥ 10
n(1 - t) ≥ 10
Write the proportion of lead to significant as a decimal number first,
42%
= 0.42
Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.
⇒(479X0.42) 201.18
⇒ (479)(1 − 0.42)
⇒ 277.82
Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.
Determine the margin of error using this formula, where z is the critical value.
[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]
For a 95% confidence level, z = 1.96.
Substitute the values of z, n, and T into the formula for margin of error and evaluate.
[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]
ME ≈ 0.044
Hence, the margin of error is 0.044.
Learn more about margin of error here:
https://brainly.com/question/10501147
#SPJ2
write the equation of the line that passes through the points (-9,-5) and (-2,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
(no links please)
Answer:
y= 8/7x+ 37/7 for the equation that the line passes
Answer:
y+5=8/7(x+9)
Step-by-step explanation:
Help!!!!!!!!!! I need it asap
Answer:
(-4,3)
Step-by-step explanation:
I used photo math
1 is subtracted from the division of a number and 9. The result is -2.
Answer:
The number is - 9.
Step-by-step explanation:
(y ÷ 9) - 1 = - 2
(y ÷ 9) - 1 + 1 = - 2 + 1
y ÷ 9 = - 1
y ÷ 9 × 9 = - 1 × 9
y = - 9
Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?
Answer:
B
Step-by-step explanation:
Not much to explain
What is the equation of the sinusoid?
Will mark brainliest plz help
The general equation of the sinusoid is [tex]f(x)=sinx[/tex]
What is sinusoidal?"A sine wave or sinusoidal is a continuous or mathematical curve which is used to describe a smooth periodic oscillation."
We know,
A Sinusoidal function is a function that can be modelled using a sine wave.
The sine graph repeats itself after a period of 2π, which shows the function is periodic with a period of 2π.
f (x) = sin x and f (x) = cos x are similar apart from a phase shift, both functions are sinusoidal.
f (x) = tan x is a trigonometric function, but its graph is completely different.
The graph of a sinusoidal function is a smooth periodic graph.
The graph is continuous all over the x-axis and also it repeats itself after every fixed interval.
∵ A phase shift is the only difference between sine and cosine, any sinusoidal function that can be modelled using sine can also be modelled using cosine.
The general sinusoidal function is [tex]f(x)=[/tex]±[tex]a.sin(b(x+c))+d[/tex]
Where as,
± controls the reflection across the x - axis, coefficient a controls the amplitude , constant d controls the vertical shift, coefficient b controls the horizontal stretch.
∴ The general equation of the sinusoid is [tex]f(x)=sin x[/tex]
Learn more about Sinusoidal function here
https://brainly.com/question/14323368
#SPJ2
Answer:
y= sin (1/2x)
Step-by-step explanation:
PLEASE HELP, I WILL MARK BRAINLIEST!
Answer:
5
Step-by-step explanation:
There are 5 different segments.
please help for all equations please. use the pythagorean theorem!!! i will give brainlyiest to the most helpful answer
Answer:
Do 15^2 +10^2=c^2 than put answer Into \sqrt()
Step-by-step explanation:
Step-by-step explanation:
Ok, so the pythagorean theorem is a^2 + b^2 = c^
where c is the hypotenuse and b and a are the the other 2 sides
9) 10^2 + b^2 = 15^2
100 + b = 225
-100 -100
b^2 = 125
sqrt of 125 = 5
b = 5
10) 2^2 + 5^2 = C^2
4 + 25 = c^2
sqrt of 29 = c
c = [tex]\sqrt{29\\}[/tex]
11) 42^2 + a^2 = 48^2
1764 + a^2 =2304
-1764 -1764
a^2 = 540
a = [tex]6\sqrt{15}[/tex]
Find the diagonal of a television screen 30 inches wide by 35 inches tall.
Round answer to the nearest tenth (if necessary).
Answer:
46.1 in
Step-by-step explanation:
Given data
Width= 30in
Height= 35in
To find the diagonal, we have to use the Pythagoras theorem
z^2= x^2+y^2
z^2= 30^2+ 35^2
z^2= 900+1225
z^2= 2125
z= √2125
z= 46.09
Hence the diagonal of the TV is 46.1 in
Which survey question is biased?
A. "Should the President of the United States serve a six-year term?"
B. "Which meal-breakfast, lunch, or dinner-is your favorite meal of the day?"
C. “During which month do you prefer to go on vacation?"
D. “Do you prefer white bread or healthy, whole-wheat bread?”
Answer:
A.
Step-by-step explanation:
It was trick question because they all are opinionated, but the first one should be an easy yes or no question. However, if you do not like the president then you would say no because of bias. The rest are supposed to be "biased" because they are asking what you prefer.
"Should the President of the United States serve a six-year term?" is question is biased
What is Survey bias?Survey bias is a "systematic error introduced into sampling or testing by selecting or encouraging one outcome or answer over others." Due to this "encouragement" for a particular result, surveys may be biassed and only provide one type of consumer perspective.
For first, It presumes that the responder supports the idea that the President should hold office for a six-year term, which may not apply to all respondents.
However, out of bias, you would say "no" if you didn't like the president. The others are supposedly "biassed" since they inquire about your preferences.
Thus, the biased question is Should the President of the United States serve a six-year term?.
Learn more about Survey bias here:
https://brainly.com/question/29416029
#SPJ2
Jared made 4 bird houses in 3 days. How many days will Jared work to make 20 bird houses.
Answer:
15 days.
Step-by-step explanation:
1 person : 4 bird houses : 3 days
1 person : 20 bird houses : ? days
from 4 bird houses to 20 bird houses, you multiply by 5.
this means you also have to multiply the days by 5
3*5=15
Jared will have to work for 15 days to make 20 bird houses.
Correct I’ll give brainlist no links or I’ll report
Answer:
y = 8x - 64
Step-by-step explanation:
Start with y = mx + b, the slope-intercept equation. Replace m with 8, x with 7 and y with -8:
-8 = 8(7) + b, or
-8 - 56 + b, or
b = -64
Then the desired equation is
y = 8x - 64
An insurance company sells a twenty-year term life insurance policy with a face value of $200,000 to a 45-year old woman. Her annual premium is
$990. If the woman dies after paying premiums for six years, what is the insurance company's gain or loss?
A. loss of $194,060
B. loss of $199,010
C. gain of $200,990
D. gain of $205,940
Answer:
her loss of $194,050 because it decreasing every time i think.
Step-by-step explanation:
answer a first one
ALGEBRA 1 / GRAPHING
Answer:
first and third from up to down
Step-by-step explanation:
you use a dashed line if the inequality does not have an equal so is just > or <
What is the slope of the line?
pleaseeee help
HELP ASAP!! Find the total area of the figure below. Round your answer to the nearest tenth
Answer:
area = 88 mi²
Step-by-step explanation:
all vertical dimensions = 8/2 = 4 mi
area = (4 x 11.9) +(4 x 6.1) + (4 x 4) = 88 mi²
Help! this is very hard for me and i need help . Thank you!
Answer:
B
Step-by-step explanation:
the volume formula is πr^2(h), so plug in the 4 and 9 you would get 452.16
The side lengths of a 45-45-90 triangle are in the ratio 1 : 1 : SR2 what is tan 45?
SR= square root
Answer:
Step-by-step explanation:
tan 45=1/1=1
Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle, the value of tan45 is 1.
What is the 45-45-90 triangle?The 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.
Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle.
The side lengths of a 45-45-90 triangle are in the ratio 1: 1: [tex]\sqrt{2}[/tex].
The value of tan45 is given by the following formula;
[tex]\rm Tan 45 = \dfrac{Perpendicular}{Base}\\\\Tan45=\dfrac{1}{1}\\\\Tan45=1[/tex]
Hence, the value of tan45 is 1.
Learn more about trigonometry here;
https://brainly.com/question/17016719
#SPJ2
Helpp pretty please
Answer:
b
Step-by-step explanation:
solve:
y= 2x^2+2x-12
help me w this plssss
Answer:
It is none of the above. The actual answer is 215
Step-by-step explanation:
8.6*50/2=215
Answer:
none of these
Step-by-step explanation:
on map 8.6 cm
scale 2cm: 50mi.
on reality if you divide the 8.5 cm into 2 cm portions and for each you have 50 mi. then you get the result
(8.6 /2)*50 = 215 mi.
Does the line through the points listed in this table of values have a slope greater or less than 1? Explain how you know.
Answer:
no points are listed
Step-by-step explanation:
please do this <33333
We know that,
In a right-angled triangle,
Hypotenuse ² = Base ² + Height ²
1 – 10 ² = 6 ² + X ²
Or, X ² = 10 ² – 6 ²
Or, X ² = 100 – 36
Or, X ² = 64
Or, X = √ 64
Or, X = 8 Units
2– X² = 7² + 3²
Or, X² = 49 + 9
Or, X² = 58
Or, X = √58
Or, X = 7.61 Units ( Approx )
3 – 15 ² = EF ² + 9
Or, EF² = 15 ² – 9 ²
Or, EF ² = 225 – 91
Or, EF ² = 134
Or, EF = √ 134
Or, EF = 11.6 Inches ( Approx)
.II} 1 – Here the length of the ladder will be the hypotenuse.
Hence, Hypotenuse = 13 Metre
.Now, The vertical wall will be the height.
Hence, Height = 12 Metre
Distance of the foot of the ladder to the wall will be the base.
Let base be B.
Now, Hypotenuse ² = Base ² + Height ²
Or, 13² = B² + 12²
Or, B² = 13² – 12²
Or, B² = 169 – 144
Or, B² = 25
Or, B = √25
Or, B = 5 Metre
Hence, the distance of the foot of the ladder from the wall is 5 metre apart.
8 x (5+1) = ( _ x 5 ) + (_ x 1)
Answer:
8 x (5+1) = ( 8 x 5 ) + (8 x 1)
Step-by-step explanation:
What is the length of the arc shown in red?
Answer:
≈ 18.8 cm
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
The central angle is equal to the arc subtending it, that is 60°
arc = 2πr × [tex]\frac{60}{360}[/tex]
= 2π × 18 × [tex]\frac{1}{6}[/tex]
= 36π × [tex]\frac{1}{6}[/tex]
= 6π ≈ 18.8 cm ( to 1 dec. place )
pls help me tysmmmm~
If the radius of the circle is 7.2cm what is the circumference to the nearest tenth?
Answer:
About 45.22
Step-by-step explanation:
Radius x 2 x π
10.
C =
= ✓ [?]
11
С
Find the
missing length.
Pythagorean Theorem: a2 + b2 = c2
Answer:
Your answer is [tex]\sqrt 221[/tex]
Step-by-step explanation:
[tex]10^2+11^2=c^2\\100+121=221\\c=\sqrt{221}[/tex]
Hope this helps!
in a group of 52 cards, how many different groups of 5 cards can you be dealt?
Answer:
10
Step-by-step explanation:
50 divided by 5 = 10 and the extra 2 are left out because we are finding how many groups of 5 we can get.
2 x 6/7
SEND HELP!!!!!!!!!!!
Answer: C. 2 6/7
Hope that helped! :)