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shtirl [24]
3 years ago
8

Suppose I make several time measurements, and compute an average time of 3.4 s, with a standard deviation of 0.8 s and an SDOM o

f 0.2 s. If I make another time measurement, how often would I expect the result to be smaller than 2.6s\
Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0

Answer:

The result will be smaller than 2.6s, 16% of the time.

Step-by-step explanation:

This is a normal distribution problem

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - xbar)/σ

x = the random value = 2.6 s

xbar = mean = the average = 3.4 s

σ = standard deviation = 0.8 s

z = (2.6 - 3.4)/0.8 = - 1

P(x < 2.6) = P(z < - 1) = 1 - P(z ≥ - 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159 = 16%

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I need an answer ASAP I will thank you and give you a like!
LenaWriter [7]

Answer:

Option C. As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.

Step-by-step explanation:

we know that

Observing the table

The function f(x) is a increasing function

As the value of x increases, the value of f(x) increases

so

As x approaches positive infinity, f(x) approach positive infinity

<em>Find the slope of the linear equation g(x)</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the points (6, -2) and (3, 7)

substitute

m=\frac{7+2}{3-6}

m=\frac{9}{-3}=-3

The slope of the linear equation g(x) is negative

That means ----> Is a decreasing function

As the value of x increases, the value of g(x) decreases

so

As x approaches positive infinity, g(x) approach negative infinity

therefore

As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.

6 0
3 years ago
The mean of 8 numbers is 4,6,4,7,(x),(x+1),8 and 2 is 5. Find x​
arsen [322]

Answer:

X=2.5

Step-by-step explanation:

4+6+4+7+X+(X+1)+8+2/8=5

31+X+(X+1)/8=5

40=31+X+(X+1)

9=X^2+X

X=2.5

5 0
3 years ago
The full question is in the picture, please answer &lt;33
EastWind [94]
Hello! Sauce B and C do not have he highest numbers and they were not any of the highest rated sauces. Therefore, A and B are eliminated. Sauce D was rated 4 in terms of cost, making it the best price and Sauce C has a score of 1, making it the worst price. Sauce D would be good to buy it cost was a big concern, but it was rated 2nd in the family anyways, so it would be fine for them. The answer is C.
3 0
2 years ago
1. When the point is reflected over x-axis, what will<br> the new coordinates of the new point be?
stich3 [128]

Answer:

(x , y) ----> (-x , y)

Step-by-step explanation:

(x , y) ----> (-x , y)

Example for 1. :

(-4,2) ---> (4,2)

4 0
2 years ago
Questions are in the picture
gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

#SPJ1

3 0
1 year ago
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