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inysia [295]
2 years ago
12

PLEASE HELP QUICK ASAP

Mathematics
1 answer:
tankabanditka [31]2 years ago
7 0

Answer:

Julie's share of the profits is (6/16)($4000) = $1500

Step-by-step explanation:

Write and solve an equation of ratios:

Jane's contrib.      $10000        10

---------------------- = -------------- = ------ .

Julie's contrib.         $6000        6

Adding 10 and 6 together, we get 16.

Julie's share of the profits is (6/16)($4000) = $1500.  Jane would take (10/16)($4000), or $2500.

You might be interested in
Hypothesis Testing for Means with Small Samples
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

t_{n-1;\alpha /2}= t_{23;0.025}= -2.069

t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069

The decision rule is:

If t_{H_0} ≤ -2.069 or if t_{H_0} ≥ 2.069, then you reject the null hypothesis.

If -2.069 < t_{H_0} < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0
3 years ago
Y=1/4x interpret the slope
VLD [36.1K]

Answer:

Step-by-step explanation:

well you start at origin 0 because there is no y-intercept so you would do rise over run up 1 over 4, 1/4 is your slope

5 0
3 years ago
Which graph represents the solution to the given system ? Y=- 6X - 2Y +2=- 6X
Nonamiya [84]

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the first equation:

y=- 6x - 2

You can identify that:

m=-6\\b=-2

 By definition, the line intersects the x-axis when y=0. Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:

0=- 6x - 2\\\\2=-6x\\\\x=-\frac{1}{3}\\\\x=-0.333

Now you can graph it.

Solve for "y" from the second equation:

y +2=- 6x\\\\y=-6x-2

 You can identify that:

m=-6\\b=-2

Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations  has<u> Infinitely many solutions.</u>

See the graph attached.

4 0
3 years ago
Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)
soldier1979 [14.2K]
A= 3
b= 4

=3.14(a^2 + ab)
substitute the given a & b values in expression

=3.14((3)^2 + (3*4))
multiply inside parentheses

=3.14(9 + 12)
add inside parentheses

=3.14(21)
multiply

=65.94


ANSWER: 65.94

Hope this helps! :)
8 0
3 years ago
(Photo above! How would I find the area of this?
boyakko [2]
It is basically a square attached by a small rectangle. So figure out the area of the square and add it to the area of the rectangle and don't forget to label your answer. Hope this helped :)

7 0
3 years ago
Read 2 more answers
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