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blagie [28]
3 years ago
13

Hey student government organization is selling Christmas trees as a fundraiser on Friday they sold five noble fir trees and thre

e Douglas fir trees for a total of $420 on Saturday 12 noble fir trees and nine Douglas fir trees were sold for a total of 1080 what is the cost per tree of each type
Mathematics
1 answer:
Zinaida [17]3 years ago
6 0
420 didved by 2 (Friday and Saturday) equals (=) 210

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In AWXY, m_W = (10x +17), m_X = (2x – 9)", and m_Y = (3x + 7)º.<br> Find mZY
ella [17]

Answer:

m\angle Y=40^\circ

Step-by-step explanation:

Suppose we have a triangle WXY whose internal angles are:

m\angle W = 10x+17

m\angle X=2x-9

m\angle Y=3x+7

The sum of the measures of the angles must be 180°, thus:

10x+17 + 2x-9+3x+7=180

Simplifying:

15x + 15 = 180

Subtracting 15:

15x = 165

Dividing by 15:

x = 11

Thus, the measure of angle Y is

m\angle Y=3x+7=3*11+7=33+7=40

\mathbf{m\angle Y=40^\circ}

8 0
2 years ago
According to a polling​ organization, 24% of adults in a large region consider themselves to be liberal. A survey asked 200 resp
Varvara68 [4.7K]

Answer:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

\hat p=\frac{75}{200}=0.375 estimated proportion of people liberal

p_o=0.24 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 verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:p \leq 0.24  

Alternative hypothesis:p > 0.24  

The statistic is given by:

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

Replacing the info given we got:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

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3 years ago
A students work to solve 2 6/7 / 2/7 is shown below.
Alexus [3.1K]
A) the only mistake is changing the mixed number to an improper fraction . 
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What is 1/3 of 18500.00
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\frac{1}{3}\ of\ 18500.00\\\\ =  \frac{1}{3}*18500.00\\\\ =\frac{1}{3}*18500.00\\\\ =6166.67
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Solve for n. -3n - 4 &gt; 26
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Answer:

n < -10

Step-by-step explanation:

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