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goblinko [34]
3 years ago
7

The standard IQ test has a mean of 102 and a standard deviation of 13. We want to be 98% certain that that we are within 5 IQ po

ints of the true mean. Determine the required sample size.
Mathematics
1 answer:
aleksklad [387]3 years ago
5 0

Answer:

37

Step-by-step explanation:

Margin of error = critical value × standard error

For 98% confidence, CV = 2.326 (from t table).

Standard error is σ / √n, where σ is the population standard deviation, and n is the sample size.

Plugging in:

5 = 2.326 × 13 / √n

n = 36.6

Rounding up, n = 37.

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how many meters are equal to 5,253 centimeters? use how the placement of the decimal point changes when dividing by power of 10
motikmotik

Answer:

52.53\ \text{meters}

Step-by-step explanation:

1\ \text{meter}=100\ \text{centimeter}

1\ \text{centimeter}=\dfrac{1}{100}\ \text{meter}

In the question the quantity that is required to be converted to meters is 5253 centimeters.

5253\ \text{cm}=5253\times \dfrac{1}{100}\\ =52.53\ \text{meters}

So, the required measurement in meters is 52.53\ \text{meters}.

3 0
3 years ago
Solve negative 8 over 5, the whole multiplied by x minus 6 equals negative 54. A 15
Verdich [7]
-8/5x - 6 = -54....multiply by 5 to get rid of fractions
-8x - 30 = - 270
-8x = -270 + 30
-8x = - 240
x = -240/-8
your answer is 30
4 0
4 years ago
Read 2 more answers
Write the equation in slope-intercept form that contains the following point and is perpendicular to the given line
Len [333]

Answer:

y = 1/4 x -3

Step-by-step explanation:

y = -4x + 3;

the slope of this equation is -4

we want the slope perpendicular to this

take the negative reciprocal

- (-1/4) = 1/4

so the slope of our line will be 1/4

we have the slope and a point so we can use point slope form

y-y1 = m (x-x1)

y--2 = 1/4(x-4)

y+2 = 1/4 (x-4)

we need to change it to slope intercept form (y=mx+b)

distribute

y+2 = 1/4 x -1/4*4

y+2 = 1/4x -1

subtract 2 from each side

y +2-2 = 1/4 x -1-2

y = 1/4 x -3

the slope is 1/4 and the y intercept is -3

8 0
3 years ago
Can anybody help????
pychu [463]

Answer:

x = 110° (vertically opposite angel)

6 0
3 years ago
Select the best answer for the question
artcher [175]

Answer:

C

HOWEVER: "Less Than" is usually depicted as a dashed line at the border. and there MUST be an OR between these two equations to include all of the blue area. An "and" there would exclude the area between the edge lines.

Step-by-step explanation:

2x + y < 10

       y < -2x + 10

3x + 2y < 12

       2y < -3x + 12

         y < -1.5x + 6

3 0
3 years ago
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