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Greeley [361]
3 years ago
13

The average test scores for a particular test in algebra was 84 with a standard deviation of 5. What percentage of the students

scored higher than 89%? Please explain your answer.
Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

The percentage of the students scored higher than 89% is 15.87%

Step-by-step explanation:

we are given

The average test scores for a particular test in algebra was 84

so, mean is 84

\mu=84

a standard deviation of 5

so,

\sigma=5

we have

x=89

now, we can use z-score formula

z=\frac{x-\mu}{\sigma}

now, we can plug values

z=\frac{89-84}{5}

z=1

now, we can use calculator

and we get

p(z>1)=0.1587

So,

The percentage of the students scored higher than 89% is 15.87%

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Answer:

1

Step-by-step explanation:

Easy because whenever the exponent is 0 the answer must always be 1 then the exponent on the outside it would still be 1.

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3 years ago
Can you make a triangle with angles 45 degrees, 90 degrees, and 35 degrees?
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Answer:

No

Step-by-step explanation:

To make a triangle the angles have to add up to 180 degrees so 90+45+35=170 degrees not 180.

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The sum of two numbers is
Artyom0805 [142]
8 &16 have good luck .
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Traveling with the current, a boat covers a distance 1.5 times greater than traveling against the current in the same amount of
jeka94
Let the speed of the current equal c
and the speed of the boat in still water equal b.

b + c = 1.5 (b - c)
b + c = 1.5b - 1.5c
0.5b = 2.5c
b = 5c

The speed of the current is 1.5 mph so
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4 0
3 years ago
Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to
Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this problem, we have that the center is at point (0,2), hence:

x^2 + (y - 2)^2 = r^2

It goes through point (3,3), hence:

3^2 + (3 - 2)^2 = r^2

r^2 = 10

Hence, the equation is:

x^2 + (y - 2)^2 = 10

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))

Applying implicit differentiation, we have that:

2x + 2y\frac{dy}{dy} = 0

\frac{dy}{dx} = -\frac{x}{y}

Point W(3,3), hence:

(x_0, y_0) = (3,3)

\frac{dy}{dx} = -\frac{3}{3} = -1

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

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2 years ago
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