All categories

3 years ago

The four partners in a business decide to split the profits of their company in the ratio 2 : 3 : 3 : 5 .

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

5 0

Answer:

$10,000

Step-by-step explanation:

the profit was divided to 2+3+3+5=13 parts

the largest amount of profit

=$26,000×5/13

=$10,000

You might be interested in

To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine foun

QveST [7]

Answer:

We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 31.7 milligrams

Sample mean, $\bar{x}$ = 28.5 milligrams

Sample size, n = 9

Alpha, α = 0.05

Sample standard deviation, s = 2.8 milligrams

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 31.7\text{ milligrams}\\H_A: \mu < 31.7\text{ milligrams}$

We use One-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.5 - 31.7}{\frac{2.8}{\sqrt{9}} } = -3.429$

Now, $t_{critical} \text{ at 0.05 level of significance, 8 degree of freedom } = -1.860$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.

3 0

3 years ago

What is the domain of the square root function graphed below?

lesya [120]

Answer:

$x \geqslant 0$

Option D is the right option.

Explanation:

Observe from the graph that the value of X starts at X=0 and the graph is going to the right infinitely.

So the domain of the function should be:

$x \geqslant 0$

Hope this helps...

Good luck on your assignment..

4 0

3 years ago

For each order pair (x,y) , determine whether it is a solution to the inequality 4x-6y_< - 18

anyanavicka [17]

Solution:

Given:

$4x-6y\leq-18$

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

$\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24$

$\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}$

Therefore, the correct answers are selected as shown below;

7 0

1 year ago

Which graph shows the solution to the inequality -3x-720?

inn [45]

Answer:

x>-9

Step-by-step explanation:

The given inequality is :

-3x - 7 < 20

We need to find the solution of the inequality using graph.

-3x - 7 < 20

Add 7 to both sides

-3x-7+7 < 20+7

-3x <27

x>-9

Hence, the attatched graph shows the solution of the given inequality.

7 0

3 years ago

Convert 3.25 to a fraction

Lunna [17]

3 and one 1/4 or 13/4

3 0

3 years ago