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kupik [55]
3 years ago
11

Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% c

onfidence. Assume that s = 14 based on earlier studies.
Mathematics
1 answer:
ipn [44]3 years ago
5 0

Answer: 67

Step-by-step explanation:

Formula to calculate sample size: n=(\dfrac{z^*\times s}{E})^2 , where s = standard deviation on prior studies , z* = two tailed critical value for confidence level , E = margin of error

Given: E = 4 , s= 14 and confidence level = 98%

Z-value for  98% confidence = 2.326

Then, required sample size: n=(\dfrac{2.326\times 14}{4})^2=(8.141)^2=66.275881\approx67

Hence, the required sample size = 67 .

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Passes through (2, 3) at a gradient of 2
Tcecarenko [31]

Answer:

y = 2x-1

Step-by-step explanation:

I'm guessing gradient of 2 means slope of 2

if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation

slope-intercept (y=mx+b)

m is the slope and b is the y-intercept (which we are trying to find)

so far, we have a point and a slope so we can fill in x,y, and m

(3) = (2)(2) + b

3 = 4 + b

3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)

-1 = b

we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation

y = 2x - 1

6 0
2 years ago
The sum of the interior angles of a triangle is 180 the second angle of a triangle is 45 more than the first and the third angle
vfiekz [6]
First angle is x
x + (x + 45) + 2x = 180
4x + 45 = 180
4x = 180 - 45 = 135
x = 135 divided by 4
x = 33.75
first angle 33.75
second angle 78.75
third angle 67.5
checking
33.75 + 78.75 + 67.5 = 180
5 0
3 years ago
If you multiply a number by 3 and divide by 4 the result is 24. what is the number?
solong [7]
To solve this problem, we are going to set up an equation.  Let the number that we are trying to find be represented by the variable x.  If we plug in the numbers that we know, we get the following equation:

3x/4 = 24

To simplify this equation, we need to multiply both sides by 4, to begin getting the x alone on the left side of the equation.

3x = 96

Finally, we need to divide both sides by 3, to get rid of the coefficient that is being multiplied to x.

x = 32

Therefore, the number that you are trying to find is 32.
4 0
3 years ago
Read 2 more answers
12p + 7 > 139 greater or less than
bazaltina [42]

Answer:

\Huge \boxed{p>11}

Step-by-step explanation:

First, subtract by 7 both sides of equation.

\displaystyle 12p+7-7>139-7

Solve.

\displaystyle 139-7=132

12p>132

Then, divide by 12 both sides of equation.

\displaystyle \frac{12p}{12}=\frac{132}{12}

Solve to find the answer.

\displaystyle 132\div12=11

\huge \boxed{p>11}, which is our answer.

3 0
3 years ago
Alice waters her plants every 2 days
snow_lady [41]
What is the question?
4 0
3 years ago
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