1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maurinko [17]
3 years ago
7

The average weekly income of teachers in one school district is $750 with a standard deviation of $85. Find the percentage of te

achers earing more than $825 a week?
Mathematics
1 answer:
dalvyx [7]3 years ago
7 0
Point estimate (average) = $750
Standard deviation = $85
P(X>$825) = ?

Z = (X-mean)/Standard deviation = (825-750)/85 ≈ 0.88

From Z-table, P(X=825) = 0.8106

Therefore,
P(X>$825) = 1 - P(X=$825) = 1-0.8106 = 0.1894 = 18.94%

Percentage of teachers earning more than $825 is 18.94%.
You might be interested in
PLZ HELP MEEEEE answer the chart first then the second question THANKYOU DEARLYY
Sholpan [36]

Answer:

6 9 4  7

Step-by-step explanation:

i teach math

5 0
3 years ago
You are given a vector in the xy plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. Determine the dire
Natalka [10]

You are given a vector in the XY plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. The direction of the vector V is;

<h3>How to know the direction of a vector?</h3>

We know that the formula for 2 vectors like this in the x and y directions is; A = xi^ + yj^

Where A is the magnitude of the resultant

x is the value of the x-component

y is the value of the y-component

We are given;

Magnitude of vector = 84 units

Y-component of the vector = -67 units

Thus,

A = \sqrt(x^2 + y^2)\\\\87 = \sqrt(x^2+ (-66)^2)\\\\87^2= x^2+ 4356\\\\7569 = x^2+ 4356\\\\x= \sqrt(7569 - 4356)\\\\x = 56.68 units

From A above, let us take the positive value of the x-component and as such our original vector will be;

A = 56.68i^ - 66j^

The direction of the vector V is;

\theta = tan^{-1} \dfrac{y}{x}  \\\\\theta =  tan^{-1} \dfrac{-66}{56.68}  \\\theta =-27.15°

Since it points entirely to the negative x-axis, then the angle is;

180 - (-27.15) = 207.15°

Learn more about vectors;

brainly.com/question/1550219

#SPJ4

7 0
2 years ago
Question 3 of 10
zysi [14]

The tangent on the unit circle is y/x

<h3>How to determine the tangent value?</h3>

The point on the unit circle is given as:

Point = (x,y)

By default

(cos(ø), sin(ø)) = (x,y)

This means that:

cos(ø) = x

sin(ø) = y

The tangent of an angle is:

tan(ø) = sin(ø)/cos(ø)

So, we have:

tan(ø) =y/x

Hence, the tangent on the unit circle is y/x

Read more about unit circle at:

brainly.com/question/16364735

#SPJ1

6 0
2 years ago
Write an equation to represent the table:
MAXImum [283]
F(x) = 2^x
(The ‘^’ means ‘to the power of’)

To find this function, you first need to notice that the y values are powers of 2, and you can tell because they are doubling each time x increases: 4 × 2 = 8, 8 × 2 = 16, etc.

Once you’ve noticed that they are powers of 2, you then need to find out which powers of 2 they are. The first y value is 4 which equals 2², and the second y value is 8 which equals 2³.

This means that the power is the x value, so you end up with f(x) = 2^x

I hope this helps!

5 0
3 years ago
Below is a table showing the different sales prices of a bicycle that Juan wants to purchase. Juan wants to get the best deal. W
Tanzania [10]

Answer:

Z-mart=12

abc sports=200

Bike world=66.25

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the volume of a sphere with a radius of 34.2 m, rounded to the
    11·1 answer
  • What is 6/11 in decimal form, to the nearest hundredth?
    15·2 answers
  • Rewrite y=4-2x in slope-intercept form.
    12·1 answer
  • Whats 15-b=4b-5(5-3)
    8·1 answer
  • Deena deposited $48 in a new bank account. After buying groceries, she had $19 left in the account. Then she paid her cell phone
    5·1 answer
  • Which of the given lengths make a right triangle?
    11·1 answer
  • A team of 9 tennis players can order bags with their uniforms
    5·1 answer
  • Erik pays 225 in advance on his account at the athletic club. Each time he uses the club , $9 is deducted from the account , wri
    13·1 answer
  • A tabletop in the shape of a trapezoid has an area of 7,701 square centimeters. Its longer base measures 119 centimeters, and th
    13·1 answer
  • What is the length of the hypotenuse? If necessary, round to the nearest tenth.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!