!!!! PLEASE HELP!!!!! I WILL MARK YOU AS BRAINIEST IF YOU ANSWER THIS CORRECT!!!!

The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w

Sati [7]

Answer:

The sample size is $n = 600$

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 0.48$

The margin of error is $MOE = 0.04$

Given that the confidence level is 95% the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the values is

$Z_{\frac{\alpha }{2} } = 1.96$

The reason we are obtaining critical value of $\frac{\alpha }{2}$ instead of $\alpha$ is because

$\alpha$ represents the area under the normal curve where the confidence level interval ( $1-\alpha$ ) did not cover which include both the left and right tail while

$\frac{\alpha }{2}$ is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

$MOE = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p(1- \r p )}{n} }$

substituting values

$0.04= 1.96* \sqrt{ \frac{0.48(1- 0.48 )}{n} }$

$0.02041 = \sqrt{ \frac{0.48(52 )}{n} }$

$0.02041 = \sqrt{ \frac{ 0.2496}{n} }$

$0.02041^2 = \frac{ 0.2496}{n}$

$0.0004166 = \frac{ 0.2496}{n}$

=> $n = 600$

5 0

4 years ago

Q(x)=4x2-3x3+8x is it a cubic trinomial

Norma-Jean [14]

Answer:

Yes

Answer: x = 0

Step-by-step explanation:

Yes it is.

Down is the answer how to solve this equation and the steps.

Step 1 :

Equation at the end of step 1 :

qx - (((4 • (x2)) - 3x3) + 8x) = 0

Step 2 :

Equation at the end of step 2 :

qx - ((22x2 - 3x3) + 8x) = 0

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

qx + 3x3 - 4x2 - 8x =

x • (q + 3x2 - 4x - 8)

Equation at the end of step 4 :

x • (q + 3x2 - 4x - 8) = 0

Step 5 :

Theory - Roots of a product :

5.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

5.2 Solve : x = 0

Solution is x = 0

Solving a Single Variable Equation :

5.3 Solve q+3x2-4x-8 = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

Answer: x = 0

Hope this helps.

7 0

3 years ago

The saddleback Seahawks football team gained 37 yards in the first quarter of the game, they lost 88 yards in the second Quarter

sasho [114]

Answer:

net loss of 144 yards

Step-by-step explanation:

+37-88-105+12= -144

5 0

3 years ago

Can someone pretty please help meeee! WILL GIVE BRAINLIEST!

krok68 [10]

Is this supposed to be middle school math-

7 0

3 years ago

PLEASE HELP, WILL GIVE LOTS OF POINTS & BRAINLY<br> solve the 2 questions!

Thepotemich [5.8K]

Answer:

5) we get a=6

6) we get c=8

Step-by-step explanation:

The triangles given are similar.

When the triangles are similar, the ratio of corresponding sides are also similar.

5) If c = 12, find a

We will use the ratio

$\frac{30}{12}=\frac{15}{a}$

Now cross multiply to find value of a

$30*a=12*15\\a=\frac{180}{30}\\a=6\\$

So, we get a=6

6. If b = 6.4, find c

We will use the ratio

$\frac{30}{c}=\frac{24}{6.4}$

Now cross multiply to find value of b

$30*6.4=24*c\\c=\frac{192}{24}\\c=8\\$

So, we get c=8

4 0

3 years ago