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likoan [24]
3 years ago
9

Ryan is a software salesman. His base salary is $2500 , and he makes an additional $90 for every copy of History is Fun he sells

. Let P represent his total pay (in dollars), and let N represent the number of copies of History is Fun he sells. Write an equation relating P to N . Then use this equation to find his total pay if he sells 21 copies of History is Fun.
equation:
total pay if 21 copies are sold?
Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0
I believe the answer would be $4190
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Advocard [28]

Answer:

2.64

Step-by-step explanation:

0.9(x + 1.4) - 2.3 + 0.1x = 1.6

0.9x + 1.26 -2.3 + 0.1x - 1.6 = 0

(0.9x + 0.1x) + (1.26 - 2.3 - 1.6) = 0  

x - 2.64 = 0

x = 2.64

8 0
3 years ago
Y = x² + 6x + 3
olganol [36]

Vertex<em> </em>is at \left(-3,-6\right)

<em>y-intercept</em> is 3.

The parabola <em>opens up</em>.

Step-by-step explanation:

The graph of the equation is hereby attached in the answer area.

Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here(x =-3), is shown with the dotted line in the graph attached.

<em>y-intercept </em>is defined as the value of y where the graph crosses the y-axis. In other words, when x=0. Putting

And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of x in the given equation y =x^{2} + 6x + 3. Here, co-efficient of

So, vertex<em> </em>is at \left(-3,-6\right)

<em>y-intercept</em> is 3.

The parabola <em>opens up</em>.

7 0
3 years ago
] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was
Bad White [126]

Answer:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

\hat p=\frac{502}{1045}=0.480 estimated proportion of college graduates with a mentor

p_o=0.42 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:  

Null hypothesis:p \leq 0.42  

Alternative hypothesis:p > 0.42  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info we got:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0
3 years ago
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faust18 [17]

Answer:

<h2>          294 cm²</h2>

Step-by-step explanation:

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den301095 [7]
That is true that microwave ovens cause friction to water molecules
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