Answer: h= 6
Step-by-step explanation:
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 238 graduating seniors and found the mean score to be 493 with a standard deviation of 97. Calculate the margin of error using the given formula. How could the results of the survey be made more accurate?
Answer:
±12.323
Step-by-step explanation:
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 238 graduating seniors and found the mean score to be 493 with a standard deviation of 97. Calculate the margin of error using the given formula. How could the results of the survey be made more accurate?
The formula for margin of Error =
±z × Standard deviation/√n
We are not given the confidence interval but let us assume the confidence interval = 95%
Hence:
z score for 95% confidence interval = 1.96
Standard deviation = 97
n = random number of samples = 238
Margin of Error = ± 1.96 × 97/√238
Margin of Error = ±12.323
The margin of error using the given formula will be ±12.323.
What is the error?An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.
The discrepancy between the calculated value and the correct value is referred to as an "error" in statistics.
Given data;
Confidence interval = 95%
z score for 95% confidence interval = 1.96
Standard deviation = 97
n is a random number of samples = 238
The margin of Error is found as;
E =±z × Standard deviation/√n
[tex]\rm E= +z \times \frac{\sigma}{\sqrt{n} }[/tex]
[tex]\rm E=\±1.96 \times \frac{97}{\sqrt{238} }\\\\ E=\±12.323 \[/tex]
Hence,the margin of error using the given formula will be ±12.323.
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in this in this equation y equals 14 x what is the constant of proportionality
Answer:
We conclude that the value of the constant of proportionality.
k = 14Step-by-step explanation:
We know that if 'y' varies directly with 'x', we use the equation
y ∝ x
y = kx
where 'k' is called the constant of proportionality.
Given the equation
y = 14x
comparing with the equation
y = kx
Thus,
k = 14
Therefore, we conclude that the value of the constant of proportionality.
k = 14the quotient of a number y and -3.6 is less than 6.5
(written as an inequality)
Answer:
[tex]\frac{y}{-3.6}[/tex] < 6.5
Please help due in 10 min
7/12+1/3 show your work and how you got your answer
Answer:
11/12
Step-by-step explanation:
find the lcm of 12 and 3 which is 12.
find a common factor in 12 and 3 and use those factors to multiply with their numerators.
7 * 1 and 1*4 =11
while the denominator or the lcm is 12
thus 11/12
Juan Carlos tiene 450 teléfonos móviles cada uno cuesta 30$y vienen 2 personas las 2 personas compran 3 teléfonos ¿cuantos dolares pagaron las 2personas?
Answer:
$90
Step-by-step explanation:
Given that:
Number of mobile phones = 450
Cost per mobile phone = $30
Number of mobile phones purchased = 3
The total cost of 3 mobile phones = amount paid remaining :
(Cost per mobile phone * number of mobile phones purchased)
= $30 * 3
= $90
If JK = KL, find JL Please help me.
Answer:
JL=22x-6
Step-by-step explanation:
We have JK=KL
z = y + x + m , solve for x
step by step
Can you find the slope and type the correct code?
Answer:
number 4 : m= -2
Step-by-step explanation
Hurryyyy I’m giving brainliest
Solve for y.
12 = 3y
Answer:
4
Step-by-step explanation:
3y=12 divide both sides by 3
y=4
Answer:
y = 4
Step-by-step explanation:
12 = 3(4)
12 = 12
What is the perimeter of the triangle formed by (-3,1),(-3,5), and (4,1)
Answer:
15
Step-by-step explanation:
Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest
what is the solution (x,y) to the system of equations? x=10 3x+5y=20
Answer:
(10, -2)
Step-by-step explanation:
x = 10 (its given in the problem)
then plug in 10 for x in the second equation and solve for y
3(10) + 5y = 20
30 + 5y = 20
5y = -10
y = -2
so the solution is (10, -2)
Solve the following proportion for n.
4/12 = n/72
Answer:
n = 24
Step-by-step explanation:
(4/12)*72 = n
24 = n
SYSTEM:
log base root3 of (x-y) = 2
log base 4 of x - log base x of y = 7/6
Answer:
Step-by-step explanation:
SYSTEM:
log base root3 of (x-y) = 2 .... 1
log base 4 of x - log base x of y =7/6...2
From equation 1:
x-y = (√3)²
x - y = 3 ..... 3
From equation 2:
log base 4 of x - log base x of y =7/6
-log base x of 4 - log base x of y = 7/6
log base x of 4^-1 - log base x of y = 7/6
log base x of (1/4) - log base x of y = 7/6
According to law of logarithm
Log base x {1/4 ÷ y} = 7/6
x^7/6 = 1/4y .... 2
From 1, y = x-3
x^7/6 =1/4(x-3)
x^7/6 = 1/(4x-12)
x^7/6(4x-12) = 1
From
PLEASEEEE HELPPP!!!!
Answer:
A.
Step-by-step explanation:
PLEASEEEEE HELPPPP!
Answer:
option 4
Step-by-step explanation:
put like terms on either side
9x + 2a = 3a - 4x
subtract both sides by 2a
9x = a - 4x
add both sides by 4x
13x = a
divide both sides by 13
x = a/13
please give thanks, hit that heart button :)
Answer:
4.) a/13
Step-by-step explanation:
9x + 2a = 3a - 4x
9x + 4x = 3a - 2a
13x = a
13x/13 = a/13
x = a/13
find the slope given the points (1,4) and (5,9)
Answer:
the slope is 5/4
Step-by-step explanation:
use the formula y2 - y1 over x2 - x1, and plug in the coordinates into that
The slope of the line whose points are (1, 4) and (5, 9) will be 1.25.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The points are given below.
(1, 4) and (5, 9)
The slope of the line is given as,
m = (9 - 4) / (5 - 1)
m = 5/4
m = 1.25
The slope of the line whose points are (1, 4) and (5, 9) will be 1.25.
More about the linear equation link is given below.
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Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost? 3/4
Answer:
2.25 np
Step-by-step explanation:
Cost of one foot lace is $2.25
Given that;Cost of one foot lace = $3
Find:Cost of 3/4 foot lace
Computation:Cost of 3/4 foot lace = [3/4][Cost of one foot lace]
Cost of one foot lace = [3/4][3]
Cost of one foot lace = 9/4
Cost of one foot lace = $2.25
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\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 67^\circ67
∘
67, degrees.
What is the measure of \angle b∠bangle, b?
Answer:
Assuming the question is asking for angle B, it measures 23°
Step-by-step explanation:
If angle A = 67°, and angle A and angle B are complementary, then you know they add up to 90°.
angle A + angle B = 90°
67° + Angle B = 90°
Angle B = 23°
Answer:
68
Step-by-step explanation:
right on khan
Shawn has two investments which both are compounded annually. Investment x earns 5% interest, and investment y earns 7% interest. Each year Shawn has to pay an 18% tax on the net gain of her investments to the IRS. Which equation can Shawn use to determine the amount of money, t, she will need to pay the IRS?
Answer:
0.18(0.05x + 0.07y) = t
explanation:
Trust me
whats the equation ??
Answer:
the equation is 10 + -3x = y
Find three consecutive integers such that 3 times the first added to the last is 22.
Answer:
5,6,7
Step-by-step explanation:
consetive integers are 1 apart
they are
x,x+1,x+2
3 times the first added to the last is 22
3x+x+2=22
combine like terms
4x+2=22
minus 2 both sides
4x=20
divide both sides by 4
x=5
x+1=6
x+2=7
the numbers are 5,6,7
Answer:
5,6,7
Step-by-step explanation:
hope this helps :)
make 24 using 15,15,9,6
Answer:
24 = (9 * 6) - (15 + 15)
Step-by-step explanation:
Equation = (9 * 6) - (15 + 15)
Follow PEMDAS which in this case multiply 9 x 6
= 54 - (15+15)
Now you need to add the numbers that are in the parenthesis
= 54 - 30
= 24
Hope this helps!
a satellite makes 4 revolutions of the earth in one day. How many revolutions would it make in 6 ½ days
Answer:
26.
Step-by-step explanation:
1 day/24 hours, makes 4 revolutions.
4 x 6 = 24,
1/2 of 4 = 2.
24+2 = 26.
26 revolutions, if my answer is wrong someone please correct me.
The total price of five DVDs (all the same cost) and four movie tickets (all the same cost) is $138, whereas, the total price of two DVDs and five movie tickets is $96. What is the price of one movie ticket? Answer as a number with NO units and NO decimals. Only give the answer to the question asked.
Answer:
Step-by-step explanation:
Let the price of DVDS = x
The price of movie tickets = y
The total price of five DVDs (all the same cost) and four movie tickets (all the same cost) is $138,
= 5x + 4y = $138
The total price of two DVDs and five movie tickets is $96.
2x + 5y = $96
Hence:
5x + 4y = $138.... Equation 1
2x + 5y = $96..... Equation 2
What is the price of one movie ticket?
Elimination method
2y = 204
y = 204/2
y = 102
Whats 22^4 - 2 2/4
Brainlest
Pls helppp
Answer: 234,253.50
Work: I did 22 to the power of 4 first and I got 234256. I subtracted 2 which is 234254, and than took 1/2. So, the answer is 234253.50.
Find the value of c.
Bob and chris share some money in the ratio 2:3.
Bob receives £8
Work ouy how much Chris receives.
Answer:
Chris will receive 4 euros
Answer:
12
Step-by-step explanation:
Which expression is equivalent to 7a -8-12a+4?
A) -9a
B) 31a
C) -5a - 4
D) 19a + 12
Runners who achieved a time between 37 and 48 minutes to complete the race were each awarded a silver medal. (c) Calculate an estimate of the number or runners awarded silver medals
Answer:
The data is missing, However the answer is given below
Step-by-step explanation:
The data is missing about the runners and the duration minutes taken to complete the race, However the answer is given below
(3 * 4) + (8 * 3)
12 + 24
36 silver medals would have been awarded to runners.
The data is missing for the runners of the race and the time they took to complete the race, silver medal is awarded for runners who completed race in 37 to 38 minutes.