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
bekas [8.4K]
3 years ago
15

A survey asks a random sample of 2500 adults in California if they support an increase in the state sales tax from 7.50% to 7.75

%, with the additional revenue going to education. Let Y denote the number in the sample that say they support the increase. Suppose that 30% of all adults in California support the increase. The mean of Y is:_______
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Answer:

E(Y) = 750

Step-by-step explanation:

Given

Sample Size = 2500

Percentage = 30%

Required

Calculate Mean of Y

Mean or Expected Value is calculated as thus;

E(Y) = np

Where E(Y) represents the mean

n represents the sample size (or population)

p represents the success probability

n = 2500 ; p = 30%%

p = \frac{30}{100} = 0.3

So,

E(Y) = 2500 * 0.3

E(Y) = 750

Hence, the mean value of Y is 750

You might be interested in
which statements are true for all rectangles A. All sides are equal in length B. All angles are right angles C. All angles are a
Elenna [48]

Answer:

I believe the correct answer is B.  

Step-by-step explanation:

4 0
3 years ago
What is true of the graph of two lines 3y-8=-5x and 6y=-10x+16
Murljashka [212]

Answer:

Both lines are equal (they are the same)

<em></em>

Step-by-step explanation:

Given

3y - 8 = -5x

6y = -10x + 16

Required

What is true about graph of both lines

<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check  if both lines are either parallel or perpendicular</em>

<em />

To do this,

The first thing to do is to calculate the slope of both lines

3y - 8 = -5x

Add 8 to both sides

3y - 8 + 8 = -5x + 8

3y = -5x + 8

Divide both sided by 3

\frac{3y}{3} = -\frac{5x}{3} + \frac{8}{3}

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

------------------------------------------------------------------------------------------------------

6y = -10x + 16

Divide both sides by 6

\frac{6y}{6} = -\frac{10x}{6} + \frac{16}{6}

y = -\frac{10x}{6} + \frac{16}{6}

Simplify fractions to lowest term

y = -\frac{5x}{3} + \frac{8}{3}

The slope of the line is the coefficient of x;

Slope = -\frac{5}{3}

Solve for the y intercept; <em>Let x = 0</em>

y = -\frac{5 * 0}{3} + \frac{8}{3}

y = 0 + \frac{8}{3}

y = \frac{8}{3}

Solve for the x intercept; <em>Let y = 0</em>

0 = -\frac{5x}{3} + \frac{8}{3}

Subtract \frac{8}{3} from both sides

0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}

- \frac{8}{3} = -\frac{5x}{3}

Subtract both sides by -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}

-\frac{3}{5}*- \frac{8}{3} = x

\frac{3}{5} * \frac{8}{3} = x

\frac{8}{5} = x

x = \frac{8}{5}

-------------------------------------------------------------------------------------------------------

By comparing the slope, x intercept and y intercept of both lines;

It'll be observed that they have the same slope, x intercept and y intercept

<em>This implies that both lines are equal; in other words, they are the same.</em>

6 0
3 years ago
The diagonal AC is drawn in parallelogram ABCD Which method can NOT be used to prove that AABC is congruent to ACDA?
diamong [38]

Answer:

B SSA

Step-by-step explanation:

Geometric proofs can be used to show that the two triangles are congruent using ASA, SAS and SSS.

However, there is no such thing as SSA in geometry because an angle and two sides can not show congruence of triangles. This is so because the angle is not an included angle.

5 0
3 years ago
Which answer shows these decimals written in order from greatest to least? 76.493 79.2 76.81 A. 79.2 &gt; 76.493 &gt; 76.81 B. 7
hichkok12 [17]
The answer to your question is the letter c
8 0
4 years ago
Read 2 more answers
PLEASE HELP I WILL AWARD BRAINLIEST
lyudmila [28]

By the table, it seems to be that f = 1/2x

3 0
3 years ago
Other questions:
  • What is 61.4 dived by 1000
    10·1 answer
  • What is the square root of 4
    9·2 answers
  • Which statement is true about the end behavior of the graphed function? (ignore my answer)
    9·1 answer
  • Can someone help me with these coordinates (number two)
    8·2 answers
  • Help please <br> If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?
    11·2 answers
  • Can someone help me on 2,3
    14·1 answer
  • Mr. Sanchez built a fence to enclose a rectangular
    5·1 answer
  • Margie's vegetable garden contains cucumbers, corn, potatoes, and tomatoes. About
    15·2 answers
  • Find the area of the figure.<br> (Sides meet at right angles.)
    12·2 answers
  • What is the length of MN ?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!