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lapo4ka [179]
3 years ago
10

What is 5c-4c+c-3c and 3a+6+5a-2 and 8b+8-4b-3?

Mathematics
1 answer:
ELEN [110]3 years ago
6 0

Answer: -c

8a+4

4b+5

Step-by-step explanation:

5c-4c+c-3c

c+c-3c

2c-3c

-c

3a+6+5a-2

8a+4

8b+8-4b-3

4b+5

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"Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A r
sergiy2304 [10]

Answer:

(a) Null Hypothesis, H_0 : p_1-p_2=0  or  p_1= p_2  

    Alternate Hypothesis, H_A : p_1-p_2\neq 0  or  p_1\neq p_2

(b) We conclude that there is a statistical difference in these two proportions measured initially and then one year later.

Step-by-step explanation:

We are given that a random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured.

A different random sample of 1,100 drivers found 96.9% compliance."

<em />

<em>Let </em>p_1<em> = proportion of drivers that were in compliance initially</em>

p_2<em> = proportion of drivers that were in compliance one year later</em>

(a) <u>Null Hypothesis</u>, H_0 : p_1-p_2=0  or  p_1= p_2      {means that there is not any statistical difference in these two proportions measured initially and then one year later}

<u>Alternate Hypothesis</u>, H_A : p_1-p_2\neq 0  or  p_1\neq p_2     {means that there is a statistical difference in these two proportions measured initially and then one year later}

The test statistics that will be used here is <u>Two-sample z proportion statistics</u>;

                     T.S.  = \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{ \frac{\hat p_1(1-\hat p_1)}{n_1} + \frac{\hat p_2(1-\hat p_2)}{n_2}} }  ~ N(0,1)

where, \hat p_1 = sample proportion of drivers in compliance initially = 98.9%

\hat p_2 = sample proportion of drivers in compliance one year later = 96.9%

n_1 = sample of drivers initially = 1,250

n_2 = sample of drivers one year later = 1,100

(b) So, <u><em>the test statistics</em></u>  =  \frac{(0.989-0.969)-(0)}{\sqrt{ \frac{0.989(1-0.989)}{1,250} + \frac{0.969(1-0.969)}{1,100}} }  

                                           =  3.33

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 3.33) = 1 - P(Z \leq 3.33)

                                            = 1 - 0.99957 = <u>0.00043</u>

Since in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

<em>Since our test statistics does not lies within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis.</em></u>

Therefore, we conclude that there is a statistical difference in these two proportions measured initially and then one year later.

7 0
3 years ago
What is the solution to the equation? 7x + 6 = -22
trapecia [35]

C.) x = -4 is the correct answer

Step-by-step explanation:

In order to solve the equation we have to isolate x on one side of equation

Given

7x + 6 = -22

Subtracting 6 from both sides

7x+6-6=-22-6\\7x=-28

Dividing both sides by 7

\frac{7x}{7}=\frac{-28}{7}\\x=-4

Hence,

C.) x = -4 is the correct answer

Keywords: Linear equation

Learn more about linear equation at:

  • brainly.com/question/5527192
  • brainly.com/question/5528742

#LearnwithBrainly

7 0
3 years ago
What element is 1s22s22p63s23p63d104s24p65s24d105p6
sp2606 [1]

Answer:

carbon

Step-by-step explanation:

it is obvious you can tell

7 0
3 years ago
A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if measure
Katen [24]

Answer:

∠C=90°

∠A=67°

∠B=23°

Step-by-step explanation:

For angle C:

  Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.

  Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)

For Angle A:

  The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)

  ∠A= (1/2)134

  ∠A= 77°

For angle B:

  All triangle angles all add up to 180. We can just subtract angles A and C from 180°:

  ∠B = 180-(90+67)

  ∠B = 23°

8 0
3 years ago
If the point x,sqrt(3)/2 is on the unit circle. What is x?
sattari [20]
Check the picture below.

if you check your Unit Circle, it'd be there.

6 0
3 years ago
Read 2 more answers
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