Six more than twice a number is twelve

Tim tradesman had a taxable income of $82,500

maria [59]

What is the question?

6 0

3 years ago

The Bureau of Alcohol, Tobacco, and Firearms (BATF) has been concerned about lead levels in California wines. In a previous test

polet [3.4K]

Answer:

The sample size is $n = 1043$

Step-by-step explanation:

From the question we are told that

The lower bound of the range is a = 51

The upper bound of the range is b = 710

The margin of error is $E = 10$

Generally the standard deviation is mathematically represented as

$\sigma = \frac{b- a}{4}$

=> $\sigma = \frac{710 - 51 }{4}$

=> $\sigma = 164.75$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

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

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [ 1.96 * 164.75 }{10} ] ^2$

=> $n = 1043$

4 0

3 years ago

In January the price of brand x rice was

Nuetrik [128]

In January the price of brand x rice was 2$.

4 0

3 years ago

A softball coach has ordered softballs for two different leagues. The Junior League uses

dedylja [7]

The number of 11-inch softball is 70 and the number of 12-inch softball is 50.

Step-by-step explanation:

Given that,

The cost of 11-inch softball = $2.50
The cost of 12-inch softball = $3.50

Let us assume,

The number of 11-inch softball be 'x'.
The number of 12-inch softball be 'y'.

Forming the equation to solve x and y values :

The total number of softball ordered = 120
The total cost for 120 softballs = $350

x + y = 120 -------(1)

2.5x + 3.5y = 350 --------(2)

Multiply eq(1) by 2.5 and subtract eq(2) from eq(1),

2.5x +2.5y = 300

-(2.5x +3.5y = 350)

-1y = -50

Therefore the value of y = 50.

The number of 12-inch softball is 50.

Substitute y=50 in eq(1),

x+50 = 120

x = 120-50

x = 70

The number of 11-inch softball is 70.

5 0

3 years ago

Find the values of the variables

ki77a [65]

The values of the variables are k = -6 , w = ± 9 , f = -7

Step-by-step explanation:

To solve these problems we will compare the elements inside the [ ]

[-12 , -w²] = [2k , -81]

[2f , 3] = [-14 , 3]

That mean:

1. -12 = 2k

2. -w² = -81

3. 2f = -14

∵ 2k = -12

Divide both sides by 2 to find k

∴ k = -6

∵ -w² = -81

Divide both sides by -1

∴ w² = 81

Take √ for both sides

∴ w = ± 9

∵ 2f = -14

Divide bith sides by 2

∴ f = -7

The values of the variables are k = -6 , w = ± 9 , f = -7

Learn more:

You can learn more about simple equation in brainly.com/question/13113987

#LearnwithBrainly

8 0

3 years ago