The margin of error of the random selection is 0.29
The given parameters are:
[tex]n = 320[/tex] --- the sample size
[tex]\sigma = 2.9[/tex] --- the standard deviation
[tex]\bar x = 24[/tex] --- the mean
[tex]\alpha = 90\%[/tex] --- the confidence level.
The margin of error (E) is calculated as follows:
[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]
So, we have:
[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]
[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]
The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z
[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]
[tex]E = 1.645 \times \sqrt{0.032}[/tex]
Take square roots
[tex]E = 1.645 \times 0.1789[/tex]
Multiply
[tex]E = 0.2943[/tex]
Approximate
[tex]E = 0.29[/tex]
Hence, the margin of error is 0.29
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triangle ABC rotated 90 degress clockwise about point P to create triangle DEF. Determine the correct orientation and location of triangle DEF
When a triangle is rotated, it must be rotated through a center.
The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)
The triangle is given as: triangle ABC.
And the degree of rotation is 90 degrees clockwise.
Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.
And the orientation would point to the right of point P.
Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).
Read more about rotation at:
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1. Bob makes $14 per
hour, plus $50 a day for
working. Write an
expression to represent
how much money Bob
makes in a day.
Answer:
$14(h) + $50 = t
t = total
h = hours he works
Will mark brainliest
Answer:
Quadrant 2 (-2,1)
Step-by-step explanation:
Answer:
you anwser would be quadrant 3 please mark brainliest
Step-by-step explanation:
Find the specified nth term in the expansion of the binomial.
(8a + 3b)5, n = 5
Answer:
b= 1/3n - 8a/3
Step-by-step explanation:
hope that help you mark me brinilylist
The _________ setting in the option profile automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job.
The name which is given to the setting in the option profile which automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job is:
Vulnerability DetectionBased on the given question, we can see that in network security, there are certain protocols which has to be followed to ensure that there is security and that unauthorised access does not occur.
As a result of this, the Vulnerability Detection is used to set in the option profile to help to close the open vulnerability on the ports which are not targeted in the scan job.
Therefore, the correct answer is Vulnerability Detection
Read more about vulnerabilities here:
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Is the answer 8? If so, what is the unit?
Step-by-step explanation:
that depends on the expected unit rate.
there are infinite correct answers to this as it is stated. including the initial numbers.
2 miles in 0.25 hours is by itself already a unit rate :
2 m/0.25h
but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.
when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.
what is the factor for 0.25 hours to create 1 hour ?
you know that 0.25 = 1/4.
0.25 × f = 1
f = 1/0.25 = 1 / 1/4 = 4
we need to multiply by 4 to get 1 hour as denominator.
therefore, by keeping the ratio value unchanged, the whole operation is then
2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h
the answer is therefore only 8, if we required mph or m/h as unit rate.
we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.
you see ? the question in that form is actually not complete.
Emily makes 75 pins to sell at the school craft fair. She has two designs: a star and
a bumblebee. She makes 2 star pins for every 3 bumblebee pins. How many pins
of each type does Emily make? Show your work.
Answer:
45 bumblebee, 30 star.
Step-by-step explanation:
2:3 = 5
75/5 = 15
15 X 2= 30
15 X 3= 45
Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?
Answer:
4 inches.
Step-by-step explanation:
The height of a rectangle is reduced by Shawna to a size of 2 inches.
The original width of the rectangle was 24 inches and the height was 12 inches.
If the ratio of width to height remains the same, then we can find the new width.
If the new width is x inches then, we can write
[tex]\frac{x}{2} = \frac{24}{12}[/tex]
⇒ x = 4 inches. (Answer)
Answer:
the new width is 14
Step-by-step explanation:
original height 12
12-2= 10 (the amount that was taken away to get the new height)
24- 10= 14 ( the new width)
4x + 5y = 18.5
2x + 4y = 13
Work out the values of x and y.
Answer:
x = 1.5 , y = 2.5
Step-by-step explanation:
4x + 5y = 18.5 → (1)
2x + 4y = 13 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the x- term
- 4x - 8y = - 26 → (3)
add (1) and (3) term by term to eliminate x
- 3y = - 7.5 ( divide both sides by - 3 )
y = 2.5
Substitute y = 2.5 into either of the 2 equations and solve for x
Substituting into (1)
4x + 5(2.5) = 18.5
4x + 12.5 = 18.5 ( subtract 12.5 from both sides )
4x = 6 ( divide both sides by 4 )
x = 1.5
Find the simple interest on Rs. 4500 for 6 months at
the rate of 5 paise per rupee per month.
helping help
A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the body length of the insect under the microscope?
160 centimeters
16 millimeters
1,600 millimeters
160 millimeters
Answer:
don't take my answer its wrong doing it for points sorry
Step-by-step explanation:
Supply the missing reasons to complete the proof.
Answer:
????????????????????????
Please help me on question 32!!!
Find the 63rd term of the arithmetic sequence 17, 26, 35
Answer:
a₆₃ = 575
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then
a₆₃ = 17 + (62 × 9) = 17 + 558 = 575
Can someone please
Help me with this graph
Answer:
graph the slope and the -2
Step-by-step explanation:
first, plot a point at (0,-2) because of the -2 as the y intercept
then, start graphing ur slope
ur next points should be
(2,-1), (4,0) (6,1) and so on
36069 in scientific notation
Answer
A: 3.6069 x 10^4
Which of the following is a perfect square a) 1057 b) 625 c) 928 d) 64000
Answer:
625
Step-by-step explanation:
625 is the (perfect) square of 25. The other three numbers are not perfect squares.
b... 625
...............................
x² + 3x + k = 0
pls help
Answer:
[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]x^2+3x+y=0[/tex]
[tex]4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2[/tex]
[tex]\bold{\mathrm{Therefore\:parabola\:properties\:are:}}[/tex]
[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}[/tex]
/[tex]\frac{x-9}{15} =\frac{2x-9}{10\\}[/tex]
Step-by-step explanation:
[tex] \frac{x - 9}{15} = \frac{2x - 9}{10} \\ [/tex]
[tex] \frac{x - 9}{3} = \frac{2x - 9}{2} \\ [/tex]
[tex]2( x - 9) = 3(2x - 9) \\ [/tex]
[tex]2x - 18 = 6x - 27[/tex]
[tex]27 - 18 = 6x - 2x[/tex]
[tex]9 = 4x[/tex]
[tex]x = \frac{9}{4} \\ [/tex]
A small town has two local high schools. High School A currently has 800 students and is projected to grow by 55 students each year. High School B currently has 950 students and is projected to grow by 25 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine the interval of years, t,t, for which High School A will have more students than High School B.
Answer:
40
Step-by-step explanation:
20 points.
The midpoint of AB is (-9, -10) and the coordinates of point A are (-1, 9) what are the coordinates of point B?
Answer:
B = (-17, -29)
Step-by-step explanation:
The midpoint (M) of AB is ...
M = (A +B)/2
Solving for B gives ...
B = 2M -A = 2(-9, -10) -(-1, 9) = (-18+1, -20 -9)
B = (-17, -29)
help plz I don't know what I'm doing
Answer:
d
Step-by-step explanation:
Answer:
Sorry for the late response / Its D
Step-by-step explanation:
Plz mark brainliest
0.000025 in scientific notation
Answer:
2.5 × [tex]10^{-5}[/tex]
Step-by-step explanation:
I hope this helps!!
0.737 ___ 0.708
0.708 > 0.737
0.737 = 0.708
0.737 < 0.708
0.737 > 0.708
Answer:
0.737>0.708
Step-by-step explanation:
it must me d because 0.737 is greater than 0.708 and it's the only true Statement
To paint a house, a painting company charges a flat rate of $275 for supplies plus $60 per hour of labor. Write a linear equation for tis situation and explain the slope and y-intercept in this context.
Answer:
y=60x+275
Step-by-step explanation:
the slope would be 60 as it is the rate being charged per hour, the y intercept (b) is the initial y value at x=0 and since the company charges 275 before they do any work, that would be the y intercept.
HELP ASAP Jessica is going to build some large wooden storage boxes, The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of each box with a special wallpaper. If she has a total of 1120 ft^2 of wallpaper, how many boxes can she cover?
Answer:
It should be 17.5 boxes I am not too sure If it is wrong please forgive me
Step-by-step explanation:
Answer: 7 boxes
Step-by-step explanation:
hey i really need help its 11:32 where I am and this assignments due at 12:00
please!!!!
Answer:
3: 67 5:200% 6: 50% 7: 32 8) 20
Step-by-step explanation:
42 is the product of 6 and y. Solve for y
Answer:
y=7
Step-by-step explanation:
42/6=7
Answer:
y =7 iits divided
Step-by-step explanation:
y =6/42
y= 7
What is the range of the function y= √x+5
Answer: {f(x)∈R∣f(x)≥0}
Step-by-step explanation: The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .
Answer:
Y>0
Step-by-step explanation:
To determine the range of this function, we must first evaluate the domain. The square root function is a nice, neat function as long as the radicand isn’t negative. In this function, the radicand becomes negative after x gets smaller than -5, so the domain of this function is [-5, infinity).
Now that we know the domain, we can calculate the range. Beginning with the left boundary, we can substitute -5 into the function to see what y equals at this x-value. At -5, y equals 0, so the minimum value for the range is 0; with the right boundary, substituting infinity yields infinity, so the range is any number greater than 0.
4. Janet has 30 classmates in her classroom. 18 of those
classmates are girls. If there are a total of 500 students in
her school, approximately how many students are girls?
Ejemplo de procedimiento
Answer:
300
Step-by-step explanation:
Let x represent number of girls.
18 girls / 30 students
x girls / 500 students
18/30 = x/500
x = 18/30 x 500
x= 300 girls
Therefore there are approximately 300 girls in the school.