Solve for z: 3/4z – 1 = 1/4(z + 8).

Question 6 (1.25 points)

Lisa [10]

Answer:

Test statistic Z= 1.713

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

H₀: x⁻ = μ

Alternative Hypothesis : x⁻ ≠ μ

Step(ii):-

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }$

Z = 1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

4 0

3 years ago

The figure shows the dimensions of a wall having a door and window of a room. Write an algebraic expression for the area of the

qwelly [4]

Answer:

Area of the wall to be painted = (11x² + 12x) square units

Step-by-step explanation:

The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.

From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).

Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression

(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]

Area of a rectangular figure = Length × Breadth

Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units

Area of window space = (2x) × (x) = (2x²) square units

Area of door space = (x) × (3x) = (3x²) square units

Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)

= 16x² + 12x - 5x²

= (11x² + 12x) square units

Hope this Helps!!!

6 0

3 years ago

A-Dilation with center O and scale factor of 3; rotation 45 degrees about O

Effectus [21]

I don’t get your question but I think it’s B

8 0

3 years ago

A stock has produced returns of 14.5 percent, 4.8 percent, 10.2 percent, and 6.1 percent over the past four years respectively.

Anettt [7]

The geometric average return is the the nth root of the product of the stock returns. So we have nâš r1 * r2 * r3. Where n is the number of returns. So we have 4âš(14.5 * 4.8 * 10.2 * 6 1) This gives us 4âš ( 4330.512) The fourth root of 4330.512 is 8.1121 percent.

3 0

3 years ago

A box is filled with 400-g packets of noodles. The box weighs 6 kg in total. Three packets are removed from the box. How much do

olganol [36]

The box will weight 4.8 kilograms

8 0

3 years ago

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