What is the variance of the values 8,10,14,12

Solve 1/2x-4=7+1/6x

Westkost [7]

Answer:

x=11/2

Step-by-step explanation:

1/2x-4=7+1/6x

1/2x-1/6x=7+4

6*1/2x-1/6*6=11 As 6 is the Lcm and we have to multiply it to the fractions.

3x-x=11 As 6 divided by 2 is 3 and 3 multiplied by x is 3x.

2x=11

x=11/2 OR 5 1/2

7 0

4 years ago

Read 2 more answers

the value of two numbers if their sum is 12 and their difference is 4. write a system of equation and find the two numbers

nikdorinn [45]

x+y=12

x-y=4

Then you solve:

x+y=12

-y -y

x=12-y

x-y=4

+y +y

x=4+y

4+y=12-y

+y +y

4+2y=12

-4 -4

2y=8

divide both sides by 2 to isolate y

y=4

Plug it into one of the equations

x+4=12

-4 -4

x=8

6 0

3 years ago

PLEASE HELP BEST ANSWER GETS BRAINLIEST AND 50 POINTS

Simora [160]

Answer:

The relative frequency of males choosing a sports utility vehicle is 0.35

The relative frequency of females choosing a sport utility vehicle is 0.75

The relative frequency of males choosing a sports car is 0.65

The relative frequency of females choosing a sports car is 0.25

The relative frequency of males or females choosing a sport utility vehicle is 0.65

The relative frequency of males or females choosing a sports car is 0.35

Step-by-step explanation:

5 0

3 years ago

The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w

Marat540 [252]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 252$

The number that tested positive is $k_1 = 18$

The second sample size is $n_2 = 476$

The number that tested positive is $k_2 = 20$

The level of significance is $\alpha = 0.01$

Generally the first sample proportion is mathematically represented as

$\^ p _1 = \frac{k_1 }{ n_1 }$

=> $\^ p _1 = \frac{18 }{ 252 }$

=> $\^ p _1 = 0.071$

Generally the second sample proportion is mathematically represented as

$\^ p _2 = \frac{k_2 }{ n_2 }$

=> $\^ p _2 = \frac{20 }{ 476}$

=> $\^ p _2 = 0.042$

The null hypothesis is $H_o : p_1 - p_2 = 0$

The alternative hypothesis is $H_a : p_1 - p_2 \ne 0$

Generally the test statistics is mathematically represented

$z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }$

=> $z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }$

=> $z = 1.56$

From the z table the area under the normal curve to the right corresponding to 1.56 is

$P(Z > 1.56 ) =0.05938$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 1.56 )$

=> $p-value = 2 * 0.05938$

=> $p-value = 0.1188$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

5 0

3 years ago

Find the slope of a line perpendicular to 3x+y=15 ,-1/3, 5, -3, 1/3

Fittoniya [83]

So in the proper form, the equation would by y = 3x + 15. This means it has a slope of 3. Perpendicular lines have slopes that are negative reciprocals. The negative reciprocal of 3 (or 3/1) is -1/3.

8 0

3 years ago